title:
The Relationship Between Local Structure and Relaxation in
  Out-of-Equilibrium Glassy Systems

abstract:
  The dynamical glass transition is typically taken to be the temperature at
which a glassy liquid is no longer able to equilibrate on experimental
timescales. Consequently, the physical properties of these systems just above
or below the dynamical glass transition, such as viscosity, can change by many
orders of magnitude over long periods of time following external perturbation.
During this progress towards equilibrium, glassy systems exhibit a history
dependence that has complicated their study. In previous work, we bridged the
gap between structure and dynamics in glassy liquids above their dynamical
glass transition temperatures by introducing a scalar field called "softness",
a quantity obtained using machine learning methods. Softness is designed to
capture the hidden patterns in relative particle positions that correlate
strongly with dynamical rearrangements of particle positions. Here we show that
the out-of-equilibrium behavior of a model glassforming system can be
understood in terms of softness. To do this we first demonstrate that the
evolution of behavior following a temperature quench is a primarily structural
phenomenon: the structure changes considerably, but the relationship between
structure and dynamics remains invariant. We then show that the
history-dependent relaxation time can be robustly computed from structure as
quantified by softness. Together, these results motivate the use of softness to
characterize the history dependence of glasses.


title:
OSSOS: IV. Discovery of a dwarf planet candidate in the 9:2 resonance
  with Neptune

abstract:
  We report the discovery and orbit of a new dwarf planet candidate, 2015
RR$_{245}$, by the Outer Solar System Origins Survey (OSSOS). 2015 RR$_{245}$'s
orbit is eccentric ($e=0.586$), with a semi-major axis near 82 au, yielding a
perihelion distance of 34 au. 2015 RR$_{245}$ has $g-r = 0.59 \pm 0.11$ and
absolute magnitude $H_{r} = 3.6 \pm 0.1$; for an assumed albedo of $p_V = 12$%
the object has a diameter of $\sim670$ km. Based on astrometric measurements
from OSSOS and Pan-STARRS1, we find that 2015 RR$_{245}$ is securely trapped on
ten-Myr timescales in the 9:2 mean-motion resonance with Neptune. It is the
first TNO identified in this resonance. On hundred-Myr timescales, particles in
2015 RR$_{245}$-like orbits depart and sometimes return to the resonance,
indicating that 2015 RR$_{245}$ likely forms part of the long-lived metastable
population of distant TNOs that drift between resonance sticking and actively
scattering via gravitational encounters with Neptune. The discovery of a 9:2
TNO stresses the role of resonances in the long-term evolution of objects in
the scattering disk, and reinforces the view that distant resonances are
heavily populated in the current Solar System. This object further motivates
detailed modelling of the transient sticking population.


title: Remarks on meson loop effects on quark models

abstract:
  We investigate the effect of meson loops on the spectrum of quark states. We
demonstrate that in general quark states do not tend to get very broad if their
coupling to the continuum increases, but instead they decouple from the latter
in the large coupling limit. We ascribe this effect to the essentially
nonperturbative unitarization procedure involved. In the meantime, some quark
resonances behave very differently and demonstrate collectivity in the sense
that their pole trajectories span a wide, as compared to the level spacing,
region therefore acquiring contributions from multiple bare poles rather than
from the closest neighbors. While the actual calculations are done within
particular, very simplified models, it is argued that the findings might well
be general.


title: Kinematic-Layout-aware Random Forests for Depth-based Action Recognition

abstract:
  In this paper, we tackle the problem of 24 hours-monitoring patient actions
in a ward such as "stretching an arm out of the bed", "falling out of the bed",
where temporal movements are subtle or significant. In the concerned scenarios,
the relations between scene layouts and body kinematics (skeletons) become
important cues to recognize actions; however they are hard to be secured at a
testing stage. To address this problem, we propose a kinematic-layout-aware
random forest which takes into account the kinematic-layout (\ie layout and
skeletons), to maximize the discriminative power of depth image appearance. We
integrate the kinematic-layout in the split criteria of random forests to guide
the learning process by 1) determining the switch to either the depth
appearance or the kinematic-layout information, and 2) implicitly closing the
gap between two distributions obtained by the kinematic-layout and the
appearance, when the kinematic-layout appears useful. The kinematic-layout
information is not required for the test data, thus called "privileged
information prior". The proposed method has also been testified in cross-view
settings, by the use of view-invariant features and enforcing the consistency
among synthetic-view data. Experimental evaluations on our new dataset PATIENT,
CAD-60 and UWA3D (multiview) demonstrate that our method outperforms various
state-of-the-arts.


title: Combined Classifiers for Invariant Face Recognition

abstract:
  No single classifier can alone solve the complex problem of face recognition.
Researchers found that combining some base classifiers usually enhances their
recognition rate. The weaknesses of the base classifiers are reflected on the
resulting combined system. In this work, a system for combining unstable, low
performance classifiers is proposed. The system is applied to face images of
392 persons. The system shows remarkable stability and high recognition rate
using a reduced number of parameters. The system illustrates the possibility of
designing a combined system that benefits from the strengths of its base
classifiers while avoiding many of their weaknesses.


title: Aspects of AdS$_2$ holography with non-constant dilaton

abstract:
  In this proceedings contribution we summarize and discuss results of Refs.
\cite{Grumiller:2013swa, Grumiller:2015vaa} in the light of recent developments
in $\textrm{AdS}_2$ holography \cite{Maldacena:2016upp, Jensen:2016pah,
Engelsoy:2016xyb}.


title:
Measurement of electroweak production of a W boson and two forward jets
  in proton-proton collisions at sqrt(s) = 8 TeV

abstract:
  A measurement is presented of the cross section for the electroweak
production of a W boson in association with two jets in proton-proton
collisions at a center-of-mass energy of 8 TeV. The data set was collected with
the CMS detector and corresponds to an integrated luminosity of 19.3 inverse
femtobarns. The measured fiducial cross section for W bosons decaying to
electrons or muons and for pT(j1) > 60 GeV, pT(j2) > 50 GeV, |eta(j)| < 4.7,
and m(jj) > 1000 GeV is 0.42 +/- 0.04 (stat) +/- 0.09 (syst) +/- 0.01 (lumi)
pb. This result is consistent with the standard model leading-order prediction
of 0.50 +/- 0.02 (scale) +/- 0.02 (PDF) pb obtained with MADGRAPH5_aMC@NLO 2.1
interfaced to PYTHIA 6.4. This is the first cross section measurement for this
process.


title:
Integrative genetic risk prediction using nonparametric empirical Bayes
  classification

abstract:
  Genetic risk prediction is an important component of individualized medicine,
but prediction accuracies remain low for many complex diseases. A fundamental
limitation is the sample sizes of the studies on which the prediction
algorithms are trained. One way to increase the effective sample size is to
integrate information from previously existing studies. However, it can be
difficult to find existing data that examine the target disease of interest,
especially if that disease is rare or poorly studied. Furthermore,
individual-level genotype data from these auxiliary studies are typically
difficult to obtain. This paper proposes a new approach to integrative genetic
risk prediction of complex diseases with binary phenotypes. It accommodates
possible heterogeneity in the genetic etiologies of the target and auxiliary
diseases using a tuning parameter-free nonparametric empirical Bayes procedure,
and can be trained using only auxiliary summary statistics. Simulation studies
show that the proposed method can provide superior predictive accuracy relative
to non-integrative as well as integrative classifiers. The method is applied to
a recent study of pediatric autoimmune diseases, where it substantially reduces
prediction error for certain target/auxiliary disease combinations. The
proposed method is implemented in the R package ssa.


title:
McKay Correspondence for semisimple Hopf actions on regular graded
  algebras, I

abstract:
  In establishing a more general version of the McKay correspondence, we prove
Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative
Artin-Schelter regular algebras A of global dimension two, where A is a graded
H-module algebra, and the Hopf action on A is inner faithful with trivial
homological determinant. We also show that each fixed ring A^H under such an
action arises an analogue of a coordinate ring of a Kleinian singularity.


title: A Space of Phylogenetic Networks

abstract:
  A classic problem in computational biology is constructing a phylogenetic
tree given a set of distances between n species. In most cases, a tree
structure is too constraining. We consider a circular split network, a
generalization of a tree in which multiple parallel edges signify divergence. A
geometric space of such networks is introduced, forming a natural extension of
the work by Billera, Holmes, and Vogtmann on tree space. We explore properties
of this space, and show a natural embedding of the compactification of the real
moduli space of curves within it.


title:
Academic Presenter: a New Storytelling Presentation Software for
  Academic Purposes

abstract:
  From the dawn of civilization, people have used folktales and stories to
share information and knowledge. After the invention of printing in the 15th
century, technology provided helpful yet complicated utilities to exchange
ideas. In the present computerized world, the art of storytelling is becoming
more influential through the unprecedented multimedia capabilities of
computers. In this article, we introduce a state-of-the-art presentation
software by which academicians can present nonlinear topics efficiently and
sharpen their storytelling skills. We show how the proposed software can
improve the scientific presentation style. We conducted a survey to measure the
attractiveness of proposed utility among other alternatives. Results show that
academicians prefer the proposed platform to others.


title:
Neurophysiological Investigation of Context Modulation based on Musical
  Stimulus

abstract:
  There are numerous studies which suggest that perhaps music is truly the
language of emotions. Music seems to have an almost willful, evasive quality,
defying simple explanation, and indeed requires deeper neurophysiological
investigations to gain a better understanding. The current study makes an
attempt in that direction to explore the effect of context on music perception.
To investigate the same, we measured Galvanic Skin Responses (GSR) and
self-reported emotion on 18 participants while listening to different Ragas
(musical stimulus) composed of different Rasa's (emotional expression) in the
different context (Neutral, Pleasant, and Unpleasant). The IAPS pictures were
used to induce the emotional context in participants. Our results from this
study suggest that the context can modulate emotional response in music
perception but only for a shorter time scale. Interestingly, here we
demonstrate by combining GSR and self-reports that this effect gradually
vanishes over time and shows emotional adaptation irrespective of context. The
overall findings suggest that specific context effects of music perception are
transitory in nature and gets saturated on a longer time scale.


title: The masses of neutron stars

abstract:
  We present in this article an overview of the problem of neutron star masses.
After a brief appraisal of the methods employed to determine the masses of
neutron stars in binary systems, the existing sample of measured masses is
presented, with a highlight on some very well-determined cases. We discuss the
analysis made to uncover the underlying distribution and a few robust results
that stand out from them. The issues related to some particular groups of
neutron stars originated from different channels of stellar evolution are
shown. Our conclusions are that last century's paradigm that there a single,
$1.4 M_{\odot}$ scale is too simple. A bimodal or even more complex
distribution is actually present. It is confirmed that some neutron stars have
masses of $\sim 2 M_{\odot}$, and, while there is still no firm conclusion on
the maximum and minimum values produced in nature, the field has entered a
mature stage in which all these and related questions can soon be given an
answer.


title: Factorial characters of some classical Lie groups

abstract:
  A definition is offered of the factorial characters of the general linear
group, the symplectic group and the orthogonal group in an odd dimensional
space. It is shown that these characters satisfy certain flagged Jacobi-Trudi
identities. These identities are then used to give combinatorial expressions
for the factorial characters: first in terms of a lattice path model and then
in terms of the well known tableaux associated with the classical groups.
Factorial Q-functions are then defined in terms of three sets of primed shifted
tableaux, and shown to satisfy Tokuyama type identities in each case.


title:
Lump solutions to nonlinear partial differential equations via Hirota
  bilinear forms

abstract:
  Lump solutions are analytical rational function solutions localized in all
directions in space. We analyze a class of lump solutions, generated from
quadratic functions, to nonlinear partial differential equations. The basis of
success is the Hirota bilinear formulation and the primary object is the class
of positive multivariate quadratic functions. A complete determination of
quadratic functions positive in space and time is given, and positive quadratic
functions are characterized as sums of squares of linear functions. Necessary
and sufficient conditions for positive quadratic functions to solve Hirota
bilinear equations are presented, and such polynomial solutions yield lump
solutions to nonlinear partial differential equations under the dependent
variable transformations u=2(ln f)_x and u=2(ln f)_{xx}, where x is one spatial
variable. Applications are made for a few generalized KP and BKP equations.


title: Lorentz-Invariance Violation with Higher-Order Operators

abstract:
  In this work, in the light of the developments for indefinite metric theories
made by Lee and Wick, we study perturbative unitarity in a Lorentz-invariance
violating QED model with higher-order operators. We show that by following the
Lee-Wick prescription it is possible to preserve unitarity in the model at
one-loop order in the coupling.


title: Integral homology of random simplicial complexes

abstract:
  The random $2$-dimensional simplicial complex process starts with a complete
graph on $n$ vertices, and in every step a new $2$-dimensional face, chosen
uniformly at random, is added. We prove that with probability tending to $1$ as
$n\to\infty$, the first homology group over $\mathbb Z$ vanishes at the very
moment when all the edges are covered by triangular faces.


title: Ego2Top: Matching Viewers in Egocentric and Top-view Videos

abstract:
  Egocentric cameras are becoming increasingly popular and provide us with
large amounts of videos, captured from the first person perspective. At the
same time, surveillance cameras and drones offer an abundance of visual
information, often captured from top-view. Although these two sources of
information have been separately studied in the past, they have not been
collectively studied and related. Having a set of egocentric cameras and a
top-view camera capturing the same area, we propose a framework to identify the
egocentric viewers in the top-view video. We utilize two types of features for
our assignment procedure. Unary features encode what a viewer (seen from
top-view or recording an egocentric video) visually experiences over time.
Pairwise features encode the relationship between the visual content of a pair
of viewers. Modeling each view (egocentric or top) by a graph, the assignment
process is formulated as spectral graph matching. Evaluating our method over a
dataset of 50 top-view and 188 egocentric videos taken in different scenarios
demonstrates the efficiency of the proposed approach in assigning egocentric
viewers to identities present in top-view camera. We also study the effect of
different parameters such as the number of egocentric viewers and visual
features.


title:
Geometric quantum phase for displaced states for a particle with an
  induced electric dipole moment

abstract:
  Basing on the analogue Landau levels for a neutral particle possessing an
induced electric dipole moment, we show that displaced states can be built in
the presence of electric and magnetic fields. Besides, the Berry phase
associated with these displaced quantum states is obtained by performing an
adiabatic cyclic evolution in series of paths in parameter space.


title: Interactive Learning from Multiple Noisy Labels

abstract:
  Interactive learning is a process in which a machine learning algorithm is
provided with meaningful, well-chosen examples as opposed to randomly chosen
examples typical in standard supervised learning. In this paper, we propose a
new method for interactive learning from multiple noisy labels where we exploit
the disagreement among annotators to quantify the easiness (or meaningfulness)
of an example. We demonstrate the usefulness of this method in estimating the
parameters of a latent variable classification model, and conduct experimental
analyses on a range of synthetic and benchmark datasets. Furthermore, we
theoretically analyze the performance of perceptron in this interactive
learning framework.


title:
Eventual positivity of Hermitian algebraic functions and associated
  integral operators

abstract:
  Quillen proved that repeated multiplication of the standard sesquilinear form
to a positive Hermitian bihomogeneous polynomial eventually results in a sum of
Hermitian squares, which was the first Hermitian analogue of Hilbert's
seventeenth problem in the nondegenerate case. Later Catlin-D'Angelo
generalized this positivstellensatz of Quillen to the case of Hermitian
algebraic functions on holomorphic line bundles over compact complex manifolds
by proving the eventual positivity of an associated integral operator. The
arguments of Catlin-D'Angelo, as well as that of a subsequent refinement by
Varolin, involve subtle asymptotic estimates of the Bergman kernel. In this
article, we give an elementary and geometric proof of the eventual positivity
of this integral operator, thereby yielding another proof of the corresponding
positivstellensatz.


title:
Oscillation quenching in third order Phase Locked Loop coupled by mean
  field diffusive coupling

abstract:
  We explore analytically the oscillation quenching phenomena (amplitude death
and oscillation death) in a coupled third order phase locked loop (PLL) both in
periodic and chaotic mode. The phase locked loops are coupled through mean
field diffusive coupling. The lower and upper limits of the quenched state are
identified in the parameter space of the coupled PLL using Routh-Hurwitz
technique. We further observe that the ability of convergence to the quenched
state of coupled PLLs depends on the design parameters. For identical system
both the system converges to homogeneous steady state whereas for non-identical
parameter values they converge to inhomogeneous steady state. It is also
observed that for identical systems the quenched state is wider than
non-identical case. When the systems parameters are so chosen that each
isolated loops are chaotic in nature, in that case we observe the quenched
state is relatively narrow. All these phenomena are also demonstrated through
numerical simulations.


title:
Large static tuning of narrow-beam terahertz plasmonic lasers operating
  at 78 K

abstract:
  A new tuning mechanism is demonstrated for single-mode metal-clad plasmonic
lasers, in which refractive-index of the laser's surrounding medium affects the
resonant-cavity mode in the same vein as refractive-index of gain medium inside
the cavity. Reversible, continuous, and mode-hop-free tuning of ~57GHz is
realized for single-mode narrow-beam terahertz plasmonic quantum-cascade lasers
(QCLs), which is demonstrated at much more practical temperature of 78K. The
tuning is based on post-process deposition/etching of a dielectric
(Silicon-dioxide) on a QCL chip that has already been soldered and wire-bonded
onto a copper mount. This is a considerably larger tuning range compared to
previously reported results for terahertz QCLs with directional far-field
radiation patterns. The key enabling mechanism for tuning is a recently
developed antenna-feedback scheme for plasmonic lasers, which leads to
generation of hybrid surface-plasmon-polaritons propagating outside the cavity
of the laser with a large spatial extent. The effect of dielectric deposition
on QCL's characteristics is investigated in detail including that on maximum
operating temperature, peak output power and far-field radiation patterns.
Single-lobed beam with low divergence (<7deg) is maintained through the tuning
range. The antenna-feedback scheme is ideally suited for modulation of
plasmonic lasers and their sensing applications due to the sensitive dependence
of spectral and radiative properties of the laser on its surrounding medium.


title:
Architecture for Community-scale Critical Infrastructure Coordination
  for Security and Resilience

abstract:
  Our Critical Infrastructure (CI) systems are, by definition, critical to the
safe and proper functioning of society. Nearly all of these systems utilize
industrial Process Control Systems (PCS) to provide clean water, reliable
electricity, critical manufacturing, and many other services within our
communities - yet most of these PCS incorporate very little cyber-security
countermeasures. Cyber-attacks on CI are becoming an attractive target. While
many vendor solutions are starting to be deployed at CI sites, these solutions
are largely based on network monitoring for intrusion detection. As such, they
are not process-aware, nor do they account for inter dependencies among other
CI sites in their community. What is proposed is an architecture for
coordinating all CI within a community, which defines characteristics to
enhance its integration, its resilience to failure and attack, and its ultimate
acceptance by CI operators.


title: Community Detection in Degree-Corrected Block Models

abstract:
  Community detection is a central problem of network data analysis. Given a
network, the goal of community detection is to partition the network nodes into
a small number of clusters, which could often help reveal interesting
structures. The present paper studies community detection in Degree-Corrected
Block Models (DCBMs). We first derive asymptotic minimax risks of the problem
for a misclassification proportion loss under appropriate conditions. The
minimax risks are shown to depend on degree-correction parameters, community
sizes, and average within and between community connectivities in an intuitive
and interpretable way. In addition, we propose a polynomial time algorithm to
adaptively perform consistent and even asymptotically optimal community
detection in DCBMs.


title: Problems with mixed boundary conditions in Banach spaces

abstract:
  Using Leray-Schauder degree or degree for $\alpha$-condensing maps we obtain
the existence of at least one solution for the boundary value problem of the
type \[ \left\{\begin{array}{lll} (\varphi(u' ))' = f(t,u,u') & & \\
u(T)=0=u'(0), & & \quad \quad \end{array}\right. \] where $\varphi:
X\rightarrow X $ is a homeomorphism with reverse Lipschitz such that
$\varphi(0)=0$, $f:\left[0, T\right]\times X \times X \rightarrow X $ is a
continuous function, $T$ a positive real number and $X$ is a real Banach space.


title:
Perturbation Theory in Supersymmetric QED: Infrared Divergences and
  Gauge Invariance

abstract:
  We study some aspects of perturbation theory in $N=1$ supersymmetric abelian
gauge theories with massive charged matter. In general gauges, infrared (IR)
divergences and nonlocal behavior arise in 1PI diagrams, associated with a
$1/k^4$ term in the propagator for the vector superfield. We examine this
structure in supersymmetric QED. The IR divergences are gauge-dependent and
must cancel in physical quantities like the electron pole mass. We demonstrate
that cancellation takes place in a nontrivial way, amounting to a
reorganization of the perturbative series from powers of $e^2$ to powers of
$e$. We also show how these complications are avoided in cases where a
Wilsonian effective action can be defined.


title:
Scaling Up Sparse Support Vector Machines by Simultaneous Feature and
  Sample Reduction

abstract:
  Sparse support vector machine (SVM) is a popular classification technique
that can simultaneously learn a small set of the most interpretable features
and identify the support vectors. It has achieved great successes in many
real-world applications. However, for large-scale problems involving a huge
number of samples and ultra-high dimensional features, solving sparse SVMs
remains challenging. By noting that sparse SVMs induce sparsities in both
feature and sample spaces, we propose a novel approach, which is based on
accurate estimations of the primal and dual optima of sparse SVMs, to
simultaneously identify the inactive features and samples that are guaranteed
to be irrelevant to the outputs. Thus, we can remove the identified inactive
samples and features from the training phase, leading to substantial savings in
the computational cost without sacrificing the accuracy. Moreover, we show that
our method can be extended to multi-class sparse support vector machines. To
the best of our knowledge, the proposed method is the \emph{first}
\emph{static} feature and sample reduction method for sparse SVMs and
multi-class sparse SVMs. Experiments on both synthetic and real data sets
demonstrate that our approach significantly outperforms state-of-the-art
methods and the speedup gained by our approach can be orders of magnitude.


title: Peak-Piloted Deep Network for Facial Expression Recognition

abstract:
  Objective functions for training of deep networks for face-related
recognition tasks, such as facial expression recognition (FER), usually
consider each sample independently. In this work, we present a novel
peak-piloted deep network (PPDN) that uses a sample with peak expression (easy
sample) to supervise the intermediate feature responses for a sample of
non-peak expression (hard sample) of the same type and from the same subject.
The expression evolving process from non-peak expression to peak expression can
thus be implicitly embedded in the network to achieve the invariance to
expression intensities. A special purpose back-propagation procedure, peak
gradient suppression (PGS), is proposed for network training. It drives the
intermediate-layer feature responses of non-peak expression samples towards
those of the corresponding peak expression samples, while avoiding the inverse.
This avoids degrading the recognition capability for samples of peak expression
due to interference from their non-peak expression counterparts. Extensive
comparisons on two popular FER datasets, Oulu-CASIA and CK+, demonstrate the
superiority of the PPDN over state-ofthe-art FER methods, as well as the
advantages of both the network structure and the optimization strategy.
Moreover, it is shown that PPDN is a general architecture, extensible to other
tasks by proper definition of peak and non-peak samples. This is validated by
experiments that show state-of-the-art performance on pose-invariant face
recognition, using the Multi-PIE dataset.


title:
Spectrum of shear modes in the neutron-star crust: Estimating the
  nuclear-physics uncertainties

abstract:
  I construct a model of the inner crust of neutron stars using interactions
from chiral effective field theory (EFT) in order to calculate its equation of
state (EOS), shear properties, and the spectrum of crustal shear modes. I
systematically study uncertainties associated with the nuclear physics input,
the crust composition, and neutron entrainment, and estimate their impact on
crustal shear properties and the shear-mode spectrum. I find that the
uncertainties originate mainly in two sources: The neutron-matter EOS and
neutron entrainment. I compare the spectrum of crustal shear modes to observed
frequencies of quasi-periodic oscillations in the afterglow of giant
$\gamma$-ray bursts and find that all of these frequencies could be described
within uncertainties, which are, however, at present too sizable to infer
neutron-star properties from observations.


title: Recurrent Regression for Face Recognition

abstract:
  To address the sequential changes of images including poses, in this paper we
propose a recurrent regression neural network(RRNN) framework to unify two
classic tasks of cross-pose face recognition on still images and video-based
face recognition. To imitate the changes of images, we explicitly construct the
potential dependencies of sequential images so as to regularize the final
learning model. By performing progressive transforms for sequentially adjacent
images, RRNN can adaptively memorize and forget the information that benefits
for the final classification. For face recognition of still images, given any
one image with any one pose, we recurrently predict the images with its
sequential poses to expect to capture some useful information of others poses.
For video-based face recognition, the recurrent regression takes one entire
sequence rather than one image as its input. We verify RRNN in static face
dataset MultiPIE and face video dataset YouTube Celebrities(YTC). The
comprehensive experimental results demonstrate the effectiveness of the
proposed RRNN method.


title:
Averaged vs. quenched large deviations and entropy for random walk in a
  dynamic random environment

abstract:
  We consider random walk with bounded jumps on a hypercubic lattice of
arbitrary dimension in a dynamic random environment. The environment is
temporally independent and spatially translation invariant. We study the rate
functions of the level-3 averaged and quenched large deviation principles from
the point of view of the particle. In the averaged case the rate function is a
specific relative entropy, while in the quenched case it is a Donsker-Varadhan
type relative entropy for Markov processes. We relate these entropies to each
other and seek to identify the minimizers of the level-3 to level-1
contractions in both settings. Motivation for this work comes from variational
descriptions of the quenched free energy of directed polymer models where the
same Markov process entropy appears.


title:
First Simultaneous Views of the Axial and Lateral Perspectives of a
  Coronal Mass Ejection

abstract:
  The different appearances exhibited by coronal mass ejections (CMEs) are
believed to be in part the result of different orientations of their main axis
of symmetry, consistent with a flux-rope configuration. There are observational
reports of CMEs seen along their main axis (axial perspective) and
perpendicular to it (lateral perspective), but no simultaneous observations of
both perspectives from the same CME have been reported to date. The
stereoscopic views of the telescopes onboard the $Solar$-$Terrestrial$
$Relations$ $Observatory$ (STEREO) twin spacecraft, in combination with the
views from the $Solar$ $and$ $Heliospheric$ $Observatory$ (SOHO) and the
$Solar$ $Dynamics$ $Observatory$ (SDO), allow us to study the axial and lateral
perspectives of a CME simultaneously for the first time. In addition, this
study shows that the lateral angular extent ($L$) increases linearly with time,
while the angular extent of the axial perspective ($D$) presents this behavior
only from the low corona to $\approx\,$5 $R_{\odot}$, where it slows down. The
ratio $L/D \approx\,$1.6 obtained here as the average over several points in
time is consistent with measurements of $L$ and $D$ previously performed on
events exhibiting only one of the perspectives from the single vantage point
provided by SOHO.


title: Disease Mapping with Generative Models

abstract:
  Disease mapping focuses on learning about areal units presenting high
relative risk. Disease mapping models for disease counts specify Poisson
regressions in relative risks compared with the expected counts. These models
typically incorporate spatial random effects to accomplish spatial smoothing.
Fitting of these models customarily computes expected disease counts via
internal standardization. This places the data on both sides of the model,
i.e., the counts are on the left side but they are also used to obtain the
expected counts on the right side. As a result, these internally standardized
models are incoherent and not generative; probabilistically, they could not
produce the observed data. Here, we argue for adopting the direct generative
model for disease counts. We model disease incidence instead of relative risks,
using a generalized logistic regression. We extract relative risks post model
fitting. We also extend the generative model to dynamic settings. We compare
the generative models with internally standardized models through simulated
datasets and a well-examined lung cancer morbidity data in Ohio. Each model is
a spatial smoother and they smooth the data similarly with regard to relative
risks. However, the generative models tend to provide tighter credible
intervals. Since the generative specification is no more difficult to fit, is
coherent, and is at least as good inferentially, we suggest it should be the
model of choice for spatial disease mapping.


title: Large Alphabet Source Coding using Independent Component Analysis

abstract:
  Large alphabet source coding is a basic and well-studied problem in data
compression. It has many applications such as compression of natural language
text, speech and images. The classic perception of most commonly used methods
is that a source is best described over an alphabet which is at least as large
as the observed alphabet. In this work we challenge this approach and introduce
a conceptual framework in which a large alphabet source is decomposed into "as
statistically independent as possible" components. This decomposition allows us
to apply entropy encoding to each component separately, while benefiting from
their reduced alphabet size. We show that in many cases, such decomposition
results in a sum of marginal entropies which is only slightly greater than the
entropy of the source. Our suggested algorithm, based on a generalization of
the Binary Independent Component Analysis, is applicable for a variety of large
alphabet source coding setups. This includes the classical lossless
compression, universal compression and high-dimensional vector quantization. In
each of these setups, our suggested approach outperforms most commonly used
methods. Moreover, our proposed framework is significantly easier to implement
in most of these cases.


title:
Near infrared spectroscopy of M dwarfs. IV. A preliminary survey on the
  carbon isotopic ratios in M dwarfs

abstract:
  Based on the medium resolution near infrared spectra of 13CO (3,1) band,
carbon isotopic ratios are estimated in 48 M dwarfs, for which we had
determined the carbon and oxygen abundances from CO and H2O lines,
respectively. We find clear evidence for the presence of a 13CO feature for the
first time in the spectra of M dwarfs. The spectral resolution of our observed
data, however, is not high enough to analyze the 13CO feature directly.
Instead, we compare observed spectrum with synthetic spectra assuming 12C/13C =
10, 25, 50, 100, and 200 for each of 48 M dwarfs and estimate the best possible
12C/13C ratio by the chi-square analysis. The resulting 12C/13C ratios in M
dwarfs distribute from 39 to a lower limit of 200. The mean value of 31 M
dwarfs for which 12C/13C ratios are determined is 12C/13C = 87 +- 21 (p.e.),
and that of 48 M dwarfs including those with the lower limit of 200 is 12C/13C
> 127 +- 41 (p.e.). These results are somewhat larger than the 12C/13C ratio of
the present interstellar matter (ISM) determined from the molecular lines
observed in the millimeter and optical wavelength regions. Since the amount of
13C in the ISM has increased with time due to mass-loss from evolved stars, the
12C/13C ratios in M dwarfs, reflecting those of the past ISM, should be larger
than those of the present ISM. In M dwarfs, log 13C/12C plotted against log Ac
shows a large scatter without clear dependence on the metallicity. This result
shows a marked contrast to log 16O/12C (= log Ao/Ac) plotted against log Ac,
which shows a rather tight correlation with the larger value at the lower
metallicity. Such a contrast can be a natural consequence that 16O and 12C are
the primary products in the stellar nuclear synthesis while 13C is the
secondary product, at least partly.


title: Harmonic trap resonance enhanced synthetic atomic spin-orbit coupling

abstract:
  Spin-orbit coupling (SOC) plays an essential role in many exotic and
interesting phenomena in condensed matter physics. In neutral-atom-based
quantum simulations, synthetic SOC constitutes a key enabling element. The
strength of SOC realized so far is limited by various reasons or constraints.
This work reports tunable SOC synthesized with a gradient magnetic field (GMF)
for atoms in a harmonic trap. Nearly ten-fold enhancement is observed when the
GMF is modulated near the harmonic-trap resonance in comparison with free-space
atoms. A theory is developed that well explains the experimental results. Our
work offers a clear physical insight into and analytical understanding of how
to tune the strength of atomic SOC synthesized with GMF using harmonic trap
resonance.


title: Autonomous Ingress of a UAV through a window using Monocular Vision

abstract:
  The use of autonomous UAVs for surveillance purposes and other reconnaissance
tasks is increasingly becoming popular and convenient.These tasks requires the
ability to successfully ingress through the rectangular openings or windows of
the target structure.In this paper, a method to robustly detect the window in
the surrounding using basic image processing techniques and efficient distance
measure, is proposed.Furthermore, a navigation scheme which incorporates this
detection method for performing navigation task has also been proposed.The
whole navigation task is performed and tested in the simulation environment
GAZEBO.


title: Extensions and Dilations of module maps

abstract:
  We study completely positive module maps on $C^{*}$-algebras which are
$C^*$-module over another $C^*$-algebra with compatible actions. We extend
several well known dilation and extension results to this setup, including the
Stinespring dilation theorem and Wittstock, Arveson, and Voiculescu extension
theorems.


title:
On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of
  isospin 3/2 pentaquarks with hidden charm

abstract:
  The pentaquark $P_c^+(4450)$ recently discovered by LHCb has been interpreted
as a bound state of $\Psi(2S)$ and nucleon. The charmonium-nucleon interaction
which provides the binding mechanism is given, in the heavy quark limit, in
terms of charmonium chromoelectric polarizabilities and densities of the
nucleon energy-momentum tensor (EMT). In this work we show in model-independent
way, by exploring general properties of the effective interaction, that
$\Psi(2S)$ can form bound states with nucleon and $\Delta$. Using the Skyrme
model to evaluate the effective interaction in the large-$N_c$ limit and
estimate $1/N_c$ corrections, we confirm the results from prior work which were
based on a different effective model (chiral quark soliton model). This shows
that the interpretation of $P_c^+(4450)$ is remarkably robust and weakly
dependent on the details of the effective theories for the nucleon EMT. We
explore the formalism further and present robust predictions of isospin
$\frac32$ bound states of $\Psi(2S)$ and $\Delta$ with masses around $4.5\,{\rm
GeV}$ and widths around $70\,{\rm MeV}$. The approach also predicts broader
resonances in the $\Psi(2S)$-$\Delta$ channel at $4.9\,{\rm GeV}$ with widths
of the order of $150\,{\rm MeV}$. We discuss in which reactions these new
isospin $\frac 32$ pentaquarks with hidden charm can be observed.


title: A Search Algorithm for Simplicial Complexes

abstract:
  We present the `Basic S*' algorithm for computing shortest path through a
metric simplicial complex. In particular, given a metric graph, $G$, which is
constructed as a discrete representation of an underlying configuration space
(a larger "continuous" space/manifold typically of dimension greater than one),
we consider the Rips complex, $\mathcal{R}(G)$, associated with it. Such a
complex, and hence shortest paths in it, represent the underlying metric space
more closely than what the graph does. While discrete graph representations of
continuous spaces is convenient for motion planning in configuration spaces of
robotic systems, the metric induced in them by the ambient configuration space
is significantly different from the metric of the configuration space itself.
We remedy this problem using the simplicial complex representation. Our
algorithm requires only an abstract graph, $G=(V,E)$, and a cost/length
function, $d:E\rightarrow \mathbb{R}_+$, as inputs, and no global information
such as an embedding or a global coordinate chart is required. The complexity
of the Basic S* algorithm is comparable to that of Dijkstra's search, but, as
the results presented in this paper demonstrate, the shortest paths obtained
using the proposed algorithm represent/approximate the geodesic paths in the
original metric space significantly more closely.


title: Electron transfer across a thermal gradient

abstract:
  Charge transfer is a fundamental process that underlies a multitude of
phenomena in chemistry and biology. Recent advances in observing and
manipulating charge and heat transport at the nanoscale, and recently developed
techniques for monitoring temperature at high temporal and spatial resolution,
imply the need for considering electron transfer across thermal gradients.
Here, a theory is developed for the rate of electron transfer and the
associated heat transport between donor-acceptor pairs located at sites of
different temperatures. To this end, through application of a generalized
multidimensional transition state theory, the traditional Arrhenius picture of
activation energy as a single point on a free energy surface is replaced with a
bithermal property that is derived from statistical weighting over all
configurations where the reactant and product states are equienergetic. The
flow of energy associated with the electron transfer process is also examined,
leading to relations between the rate of heat exchange among the donor and
acceptor sites as functions of the temperature difference and the electronic
driving bias. In particular, we find that an open electron transfer channel
contributes to enhanced heat transport between sites even when they are in
electronic equilibrium. The presented results provide a unified theory for
charge transport and the associated heat conduction between sites at different
temperatures.


title: On Generalized Addition Chains

abstract:
  Given integers d >= 1, and g >= 2, a g-addition chain for d is a sequence of
integers a_0=1, a_1, a_2,..., a_{r-1}, a_r=d where
a_i=a_{j_1}+a_{j_2}+...+a_{j_k}, with 2 =< k =< g, and 0 =< j_1 =< j_2 =< ...
=< j_k =< i-1. The length of a g-addition chain is r, the number of terms
following 1 in the sequence. We denote by l_g(d) the length of a shortest
addition chain for d. Many results have been established in the case g=2. Our
aim is to establish the same sort of results for arbitrary fixed g. In
particular, we adapt methods for constructing g-addition chains when g=2 to the
case g>2 and we study the asymptotic behavior of l_g.


title: Universal charge and current on magnetic domain walls in Weyl semimetals

abstract:
  Domain walls in three-dimensional Weyl semimetals, formed by localized
magnetic moments, are investigated. There appear bound states around the domain
wall with the discrete spectrum, among which we find "Fermi arc" states with
the linear dispersion. The Fermi arc modes contribute to the electric charge
and current localized at the domain wall, which reveal a universal behavior
depending only on chemical potential and the splitting of the Weyl nodes. This
equilibrium current can be traced back to the chiral magnetic effect, or the
edge counterpart of the anomalous Hall effect in the bulk. We propose a new way
to manipulate the motion of the domain wall, accompanied with the localized
charge, by applying an external electric field.


title:
Cold nuclear matter effects and a modified form of the proximity
  approach

abstract:
  The influence of the cold nuclear matter effects on the Coulomb barriers and
also on the fusion cross sections of 47 fusion reactions are systematically
investigated within the framework of the proximity formalism. For this purpose,
I modify the original version of this formalism (Prox. 77) using a new
analytical form of the universal function which is formulated based on the
double-folding model with three density-dependent versions of the M3Y-type
interactions, namely DDM3Y1, CDM3Y3 and BDM3Y1. It is found that when the Prox.
77 potential is accompanied by each of the formulated universal functions, the
agreement between the theoretical and experimental data of the barrier height
and also the fusion cross section increase for our selected fusion systems. The
present study also provides appropriate conditions to explore theoretically the
variation effects of the NM incompressibility constant $K$ on the calculated
results caused by the Prox. 77 model. It is shown that the accuracy of this
potential model for reproducing the experimental fusion data enhances by
increasing the strength of this constant. A discussion is also presented about
the role of various physical effects in the theoretical results of the
proximity approach.


title:
Molecular Interactions in Chiral Nematic Liquid Crystals and
  Enantiotopic Discrimination through the NMR Spectra of Achiral Molecules I:
  Rigid Solutes

abstract:
  We have developed a molecular theory for the enantiotopic discrimination in
prochiral solutes dissolved in chiral nematic solvents by means of NMR
spectroscopy. The leading rank tensor contributions to the proposed potential
of mean torque include symmetric as well as antisymmetric terms with respect to
spatial inversion, these lead to a consistent determination of all the
prochiral solute symmetries for which enantiotopes are distinguishable by NMR
and also to excellent quantitative agreement when tested against the available
experimental data for the rigid solute acenaphthene and for the moderately
flexible ethanol.


title: Fronthauling for 5G LTE-U Ultra Dense Cloud Small Cell Networks

abstract:
  Ultra dense cloud small cell network (UDCSNet), which combines cloud
computing and massive deployment of small cells, is a promising technology for
the fifth-generation (5G) LTE-U mobile communications because it can
accommodate the anticipated explosive growth of mobile users' data traffic. As
a result, fronthauling becomes a challenging problem in 5G LTE-U UDCSNet. In
this article, we present an overview of the challenges and requirements of the
fronthaul technology in 5G \mbox{LTE-U} UDCSNets. We survey the advantages and
challenges for various candidate fronthaul technologies such as optical fiber,
millimeter-wave based unlicensed spectrum, Wi-Fi based unlicensed spectrum, sub
6GHz based licensed spectrum, and free-space optical based unlicensed spectrum.


title:
Finite size corrections to scaling of the formation probabilities and
  the Casimir effect in the conformal field theories

abstract:
  We calculate formation probabilities of the ground state of the finite size
quantum critical chains using conformal field theory (CFT) techniques. In
particular, we calculate the formation probability of one interval in the
finite open chain and also formation probability of two disjoint intervals in a
finite periodic system. The presented formulas can be also interpreted as the
Casimir energy of needles in particular geometries. We numerically check the
validity of the exact CFT results in the case of the transverse field Ising
chain.


title:
On a new application of the path integrals in polymer statistical
  physics

abstract:
  We propose a new approach based on the path integral formalism to the
calculation of the probability distribution functions of quadratic quantities
of the Gaussian polymer chain in d-dimensional space, such as the radius of
gyration and potential energy in the parabolic well. In both cases we obtain
the exact relations for the characteristic function and cumulants. Using the
standard steepest-descent method, we evaluate the probability distribution
functions in two limiting cases of the large and small values of corresponding
variables.


title: Curvatures of metrics induced by the isotropic almost complex structures

abstract:
  Isotropic almost complex structures induce a class of Riemannian metrics on
tangent bundle of a Riemannian manifold. In this paper the curvature tensors of
these metrics will be calculated.


title:
Robust Control for Signal Temporal Logic Specifications using Average
  Space Robustness

abstract:
  Control systems that satisfy temporal logic specifications have become
increasingly popular due to their applicability to robotic systems. Existing
control methods, however, are computationally demanding, especially when the
problem size becomes too large. In this paper, a robust and computationally
efficient model predictive control framework for signal temporal logic
specifications is proposed. We introduce discrete average space robustness, a
novel quantitative semantic for signal temporal logic, that is directly
incorporated into the cost function of the model predictive controller. The
optimization problem entailed in this framework can be written as a convex
quadratic program when no disjunctions are considered and results in a robust
satisfaction of the specification. Furthermore, we define the predicate
robustness degree as a new robustness notion. Simulations of a multi-agent
system subject to complex specifications demonstrate the efficacy of the
proposed method.


title: Bi-Hamiltonian structures of KdV type

abstract:
  Combining an old idea of Olver and Rosenau with the classification of second
and third order homogeneous Hamiltonian operators we classify compatible trios
of two-component homogeneous Hamiltonian operators. The trios yield pairs of
compatible bi-Hamiltonian operators whose structure is a direct generalization
of the bi-Hamiltonian pair of the KdV equation. The bi-Hamiltonian pairs give
rise to multi-parametric families of bi-Hamiltonian systems. We recover known
examples and we find new integrable systems whose central invariants are
non-zero; this shows that new examples are not Miura-trivial.


title:
Analytical Modeling of IEEE 802.11 Type CSMA/CA Networks with Short Term
  Unfairness

abstract:
  We consider single-hop topologies with saturated transmitting nodes, using
IEEE~802.11 DCF for medium access. However, unlike the conventional WiFi, we
study systems where one or more of the protocol parameters are different from
the standard, and/or where the propagation delays among the nodes are not
negligible compared to the duration of a backoff slot. We observe that for
several classes of protocol parameters, and for large propagation delays, such
systems exhibit a certain performance anomaly known as short term unfairness,
which may lead to severe performance degradation. The standard fixed point
analysis technique (and its simple extensions) do not predict the system
behavior well in such cases; a mean field model based asymptotic approach also
is not adequate to predict the performance for networks of practical sizes in
such cases. We provide a detailed stochastic model that accurately captures the
system evolution. Since an exact analysis of this model is computationally
intractable, we develop a novel approximate, but accurate, analysis that uses a
parsimonious state representation for computational tractability. Apart from
providing insights into the system behavior, the analytical method is also able
to quantify the extent of short term unfairness in the system, and can
therefore be used for tuning the protocol parameters to achieve desired
throughput and fairness objectives.


title:
Strong deflection limit analysis and gravitational lensing of an Ellis
  wormhole

abstract:
  Observations of gravitational lenses in strong gravitational fields give us a
clue to understanding dark compact objects. In this paper, we extend a method
to obtain a deflection angle in a strong deflection limit provided by Bozza
[Phys. Rev. D 66, 103001 (2002)] to apply to ultrastatic spacetimes. We also
discuss on the order of an error term in the deflection angle. Using the
improved method, we consider gravitational lensing by an Ellis wormhole, which
is an ultrastatic wormhole of the Morris-Thorne class.


title: The BMR freeness conjecture for the tetrahedral and octahedral families

abstract:
  We prove the validity of the freeness conjecture of Brou\'e, Malle and
Rouquier for the generic Hecke algebras associated to the exceptional complex
reflection groups of rank 2 belonging to the tetrahedral and octahedral
families, and we give a description of the basis similar to the classical case
of the finite Coxeter groups.


title: On the Capacity Advantage of a Single Bit

abstract:
  In this work we study the capacity advantage achieved by adding a single bit
of communication -- not a link of capacity 1 but a single bit over all time --
to a memoryless network. Specifically, we present a memoryless network in which
adding a single bit of communication strictly increases the capacity region.


title: Scalable gate architecture for densely packed semiconductor spin qubits

abstract:
  We demonstrate a 12 quantum dot device fabricated on an undoped Si/SiGe
heterostructure as a proof-of-concept for a scalable, linear gate architecture
for semiconductor quantum dots. The device consists of 9 quantum dots in a
linear array and 3 single quantum dot charge sensors. We show reproducible
single quantum dot charging and orbital energies, with standard deviations less
than 20% relative to the mean across the 9 dot array. The single quantum dot
charge sensors have a charge sensitivity of 8.2 x 10^{-4} e/root(Hz) and allow
the investigation of real-time charge dynamics. As a demonstration of the
versatility of this device, we use single-shot readout to measure a spin
relaxation time T1 = 170 ms at a magnetic field B = 1 T. By reconfiguring the
device, we form two capacitively coupled double quantum dots and extract a
mutual charging energy of 200 microeV, which indicates that 50 GHz two-qubit
gate operation speeds are feasible.


title:
Consequences of the thermal dependence of spin orbit coupling in
  semiconductors

abstract:
  The $\vec{k}.\vec{p}$ perturbation theory in semiconductor modifies some spin
related parameters of the semi-conducting system. Furthermore, renormalization
of the Kane model parameters occurs when temperature appears in the scenario.
In this paper, we have analysed the consequences of this renormalized Kane
parameters on some spin transport issues. It is noteworthy to study that the
temperature corrected scenario, explained here can open up a new direction
towards the spin calorimetric applications in semiconductors.


title: Redundancy-free Verbalization of Individuals for Ontology Validation

abstract:
  We investigate the problem of verbalizing Web Ontology Language (OWL) axioms
of domain ontologies in this paper. The existing approaches address the problem
of fidelity of verbalized OWL texts to OWL semantics by exploring different
ways of expressing the same OWL axiom in various linguistic forms. They also
perform grouping and aggregating of the natural language (NL) sentences that
are generated corresponding to each OWL statement into a comprehensible
structure. However, no efforts have been taken to try out a semantic reduction
at logical level to remove redundancies and repetitions, so that the reduced
set of axioms can be used for generating a more meaningful and
human-understandable (what we call redundancy-free) text. Our experiments show
that, formal semantic reduction at logical level is very helpful to generate
redundancy-free descriptions of ontology entities. In this paper, we
particularly focus on generating descriptions of individuals of SHIQ based
ontologies. The details of a case study are provided to support the usefulness
of the redundancy-free NL descriptions of individuals, in knowledge validation
application.


title:
A Statistical Model for the Analysis of Beta Values in DNA Methylation
  Studies

abstract:
  Background: The analysis of DNA methylation is a key component in the
development of personalized treatment approaches. A common way to measure DNA
methylation is the calculation of beta values, which are bounded variables of
the form M = (M + U) that are generated by Illumina's 450k BeadChip array. The
statistical analysis of beta values is considered to be challenging, as
traditional methods for the analysis of bounded variables, such as M-value
regression and beta regression, are based on regularity assumptions that are
often too strong to adequately describe the distribution of beta values.
Results: We develop a statistical model for the analysis of beta values that is
derived from a bivariate gamma distribution for the signal intensities M and U.
By allowing for possible correlations between M and U, the proposed model
explicitly takes into account the data-generating process underlying the
calculation of beta values. Conclusion: The proposed model can be used to
improve the identification of associations between beta values and covariates
such as clinical variables and lifestyle factors in epigenome-wide association
studies. It is as easy to apply to a sample of beta values as beta regression
and M-value regression.


title:
Removability results for subharmonic functions, for separately
  subharmonic functions, for harmonic functions, for separately harmonic
  functions and for holomorphic functions, a survey

abstract:
  We begin with an improvement to an extension result for subharmonic functions
of Blanchet et al. With the aid of this improvement we then give extension
results for subharmonic functions, for separately subharmonic functions, for
harmonic functions, for separately harmonic functions and for holomorphic
functions. Our results for holomorphic functions are related to Besicovitch's
and Shiffman's well-known extension results, at least in some sense. Moreover,
we recall another, slightly related and previous extension result for
holomorphic functions.


title: Lowness, randomness, and computable analysis

abstract:
  Analytic concepts contribute to our understanding of randomness of reals via
algorithmic tests. They also influence the interplay between randomness and
lowness notions. We provide a survey, written on the occasion of Rod Downey's
60th birthday.


title: Outer actions of $\mathrm{Out}(F_n)$ on small right-angled Artin groups

abstract:
  We determine the precise conditions under which $\mathrm{SOut}(F_n)$, the
unique index two subgroup of $\mathrm{Out}(F_n)$, can act non-trivially via
outer automorphisms on a RAAG whose defining graph has fewer than $\frac 1 2
\binom n 2 $ vertices.
  We also show that the outer automorphism group of a RAAG cannot act
faithfully via outer automorphisms on a RAAG with a strictly smaller (in number
of vertices) defining graph.
  Along the way we determine the minimal dimensions of non-trivial linear
representations of congruence quotients of the integral special linear groups
over algebraically closed fields of characteristic zero, and provide a new
lower bound on the cardinality of a set on which $\mathrm{SOut}(F_n)$ can act
non-trivially.


title: Is Faster R-CNN Doing Well for Pedestrian Detection?

abstract:
  Detecting pedestrian has been arguably addressed as a special topic beyond
general object detection. Although recent deep learning object detectors such
as Fast/Faster R-CNN [1, 2] have shown excellent performance for general object
detection, they have limited success for detecting pedestrian, and previous
leading pedestrian detectors were in general hybrid methods combining
hand-crafted and deep convolutional features. In this paper, we investigate
issues involving Faster R-CNN [2] for pedestrian detection. We discover that
the Region Proposal Network (RPN) in Faster R-CNN indeed performs well as a
stand-alone pedestrian detector, but surprisingly, the downstream classifier
degrades the results. We argue that two reasons account for the unsatisfactory
accuracy: (i) insufficient resolution of feature maps for handling small
instances, and (ii) lack of any bootstrapping strategy for mining hard negative
examples. Driven by these observations, we propose a very simple but effective
baseline for pedestrian detection, using an RPN followed by boosted forests on
shared, high-resolution convolutional feature maps. We comprehensively evaluate
this method on several benchmarks (Caltech, INRIA, ETH, and KITTI), presenting
competitive accuracy and good speed. Code will be made publicly available.


title: More notions of forcing add a Souslin tree

abstract:
  An $\aleph_1$-Souslin tree is a complicated combinatorial object whose
existence cannot be decided on the grounds of ZFC alone. But 15 years after
Tennenbaum and independently Jech devised notions of forcing for introducing
such a tree, Shelah proved that already the simplest forcing notion --- Cohen
forcing --- adds an $\aleph_1$-Souslin tree.
  In this paper, we identify a rather large class of notions of forcing that,
assuming a GCH-type assumption, add a $\lambda^+$-Souslin tree. This class
includes Prikry, Magidor and Radin forcing.


title: Impact of Physical Activity on Sleep:A Deep Learning Based Exploration

abstract:
  The importance of sleep is paramount for maintaining physical, emotional and
mental wellbeing. Though the relationship between sleep and physical activity
is known to be important, it is not yet fully understood. The explosion in
popularity of actigraphy and wearable devices, provides a unique opportunity to
understand this relationship. Leveraging this information source requires new
tools to be developed to facilitate data-driven research for sleep and activity
patient-recommendations.
  In this paper we explore the use of deep learning to build sleep quality
prediction models based on actigraphy data. We first use deep learning as a
pure model building device by performing human activity recognition (HAR) on
raw sensor data, and using deep learning to build sleep prediction models. We
compare the deep learning models with those build using classical approaches,
i.e. logistic regression, support vector machines, random forest and adaboost.
Secondly, we employ the advantage of deep learning with its ability to handle
high dimensional datasets. We explore several deep learning models on the raw
wearable sensor output without performing HAR or any other feature extraction.
  Our results show that using a convolutional neural network on the raw
wearables output improves the predictive value of sleep quality from physical
activity, by an additional 8% compared to state-of-the-art non-deep learning
approaches, which itself shows a 15% improvement over current practice.
Moreover, utilizing deep learning on raw data eliminates the need for data
pre-processing and simplifies the overall workflow to analyze actigraphy data
for sleep and physical activity research.


title: Torsors for Difference Algebraic Groups

abstract:
  We introduce a cohomology set for groups defined by algebraic difference
equations and show that it classifies torsors under the group action. This
allows us to compute all torsors for large classes of groups. We also develop
some tools for difference algebraic geometry and present an application to the
Galois theory of differential equations depending on a discrete parameter.


title: Counting racks of order n

abstract:
  A rack on $[n]$ can be thought of as a set of maps $(f_x)_{x \in [n]}$, where
each $f_x$ is a permutation of $[n]$ such that $f_{(x)f_y} = f_y^{-1}f_xf_y$
for all $x$ and $y$. In 2013, Blackburn showed that the number of isomorphism
classes of racks on $[n]$ is at least $2^{(1/4 - o(1))n^2}$ and at most $2^{(c
+ o(1))n^2}$, where $c \approx 1.557$; in this paper we improve the upper bound
to $2^{(1/4 + o(1))n^2}$, matching the lower bound. The proof involves
considering racks as loopless, edge-coloured directed multigraphs on $[n]$,
where we have an edge of colour $y$ between $x$ and $z$ if and only if $(x)f_y
= z$, and applying various combinatorial tools.


title: The Earth-Moon system as a typical binary in the Solar System

abstract:
  Solid embryos of the Earth and the Moon, as well as trans-Neptunian binaries,
could form as a result of contraction of the rarefied condensation which was
parental for a binary. The angular momentum of the condensation needed for
formation of a satellite system could be mainly acquired at the collision of
two rarefied condensations at which the parental condensation formed. The
minimum value of the mass of the parental condensation for the Earth-Moon
system could be about 0.02 of the Earth mass. Besides the main collision, which
was followed by formation of the condensation that was a parent for the embryos
of the Earth and the Moon, there could be another main collision of the
parental condensation with another condensation. The second main collision (or
a series of similar collisions) could change the tilt of the Earth. Depending
on eccentricities of the planetesimals that collided with the embryos, the Moon
could acquire 0.04-0.3 of its mass at the stage of accumulation of solid bodies
while the mass of the growing Earth increased by a factor of ten.


title: Should unfolded histograms be used to test hypotheses?

abstract:
  In many analyses in high energy physics, attempts are made to remove the
effects of detector smearing in data by techniques referred to as "unfolding"
histograms, thus obtaining estimates of the true values of histogram bin
contents. Such unfolded histograms are then compared to theoretical
predictions, either to judge the goodness of fit of a theory, or to compare the
abilities of two or more theories to describe the data. When doing this, even
informally, one is testing hypotheses. However, a more fundamentally sound way
to test hypotheses is to smear the theoretical predictions by simulating
detector response and then comparing to the data without unfolding; this is
also frequently done in high energy physics, particularly in searches for new
physics. One can thus ask: to what extent does hypothesis testing after
unfolding data materially reproduce the results obtained from testing by
smearing theoretical predictions? We argue that this "bottom-line-test" of
unfolding methods should be studied more commonly, in addition to common
practices of examining variance and bias of estimates of the true contents of
histogram bins. We illustrate bottom-line-tests in a simple toy problem with
two hypotheses.


title:
Getzler rescaling via adiabatic deformation and a renormalized local
  index formula

abstract:
  We prove a local index theorem of Atiyah-Singer type for Dirac operators on
manifolds with a Lie structure at infinity (Lie manifolds for short). With the
help of a renormalized supertrace, defined on a suitable class of regularizing
operators, the proof of the index theorem relies on a rescaling technique
similar in spirit to Getzler's rescaling. With a given Lie manifold we
associate an appropriate integrating Lie groupoid. We then describe the heat
kernel of a geometric Dirac operator via a functional calculus with values in
the convolution algebra of sections of a rescaled bundle over the adiabatic
groupoid. Finally, we calculate the right coefficient in the heat kernel
expansion by deforming the Dirac operator into a polynomial coefficient
operator over the rescaled bundle and applying the Lichnerowicz theorem to the
fibers of the groupoid and the Lie manifold.


title:
Joint Source-Channel Secrecy Using Uncoded Schemes: Towards Secure
  Source Broadcast

abstract:
  This paper investigates a joint source-channel secrecy problem for the
Shannon cipher broadcast system. We suppose list secrecy is applied, i.e., a
wiretapper is allowed to produce a list of reconstruction sequences and the
secrecy is measured by the minimum distortion over the entire list. For
discrete communication cases, we propose a permutation-based uncoded scheme,
which cascades a random permutation with a symbol-by-symbol mapping. Using this
scheme, we derive an inner bound for the admissible region of secret key rate,
list rate, wiretapper distortion, and distortions of legitimate users. For the
converse part, we easily obtain an outer bound for the admissible region from
an existing result. Comparing the outer bound with the inner bound shows that
the proposed scheme is optimal under certain conditions. Besides, we extend the
proposed scheme to the scalar and vector Gaussian communication scenarios, and
characterize the corresponding performance as well. For these two cases, we
also propose another uncoded scheme, orthogonal-transform-based scheme, which
achieves the same performance as the permutation-based scheme. Interestingly,
by introducing the random permutation or the random orthogonal transform into
the traditional uncoded scheme, the proposed uncoded schemes, on one hand,
provide a certain level of secrecy, and on the other hand, do not lose any
performance in terms of the distortions for legitimate users.


title: Stealth magnetic field in de Sitter spacetime

abstract:
  In the context of a U(1) gauge theory non-minimally coupled to scalar-tensor
gravity, we find a cosmological attractor solution that represents a de Sitter
universe with a homogeneous magnetic field. The solution fully takes into
account backreaction of the magnetic field to the geometry and the scalar
field. Such a solution is made possible by scaling-type global symmetry and
fine-tuning of two parameters of the theory. If the fine-tuning is relaxed then
the solution is deformed to an axisymmetric Bianchi type-I universe with
constant curvature invariants, a homogeneous magnetic field and a homogeneous
electric field. Implications to inflationary magnetogenesis are briefly
discussed.


title: Slow Muons and Muonium

abstract:
  The Paul Scherrer Institut in Switzerland operates the high intensity proton
accelerator facility HIPA. A 590 MeV kinetic energy proton beam of presently up
to 2.4 mA is sent to target stations producing pions, muons and neutrons for
fundamental and applied physics. The beam power of 1.4 MW provides the world's
highest intensities of low momentum muons which can be stopped in low mass
targets. Rates of surface muons of up to about $10^8$/s are being provided to
various unique precision particle physics experiments. Two feasibility studies
are ongoing to considerably improve the available muon beams. The high
intensity muon beamline, HiMB, could deliver on the order of $10^{10}$/s
surface muons and the stopped muon cooler, muCool, aims at a gain factor of
$10^{10}$ in phase space quality while sacrificing only less than 3 orders of
magnitude in intensity for low energy $\mu^+$. These beams will allow a new
generation of precision physics experiments with stopped muons and muonium
atoms.


title: Spatio-Temporal LSTM with Trust Gates for 3D Human Action Recognition

abstract:
  3D action recognition - analysis of human actions based on 3D skeleton data -
becomes popular recently due to its succinctness, robustness, and
view-invariant representation. Recent attempts on this problem suggested to
develop RNN-based learning methods to model the contextual dependency in the
temporal domain. In this paper, we extend this idea to spatio-temporal domains
to analyze the hidden sources of action-related information within the input
data over both domains concurrently. Inspired by the graphical structure of the
human skeleton, we further propose a more powerful tree-structure based
traversal method. To handle the noise and occlusion in 3D skeleton data, we
introduce new gating mechanism within LSTM to learn the reliability of the
sequential input data and accordingly adjust its effect on updating the
long-term context information stored in the memory cell. Our method achieves
state-of-the-art performance on 4 challenging benchmark datasets for 3D human
action analysis.


title:
Cross-diffusion systems with excluded volume effects and asymptotic
  gradient flows

abstract:
  In this paper we discuss the analysis of a cross-diffusion PDE system for a
mixture of hard spheres, which was derived by Bruna and Chapman from a
stochastic system of interacting Brownian particles using the method of matched
asymptotic expansions. The resulting cross-diffusion system is valid in the
limit of small volume fraction of particles. While the system has a gradient
flow structure in the symmetric case of all particles having the same size and
diffusivity, this is not valid in general. We discuss local stability and
global existence for the symmetric case using the gradient flow structure and
entropy variable techniques. For the general case, we introduce the concept of
an asymptotic gradient flow structure and show how it can be used to study the
behavior close to equilibrium. Finally we illustrate the behavior of the model
with various numerical simulations.


title:
Site-resolved imaging of single atoms with a Faraday quantum gas
  microscope

abstract:
  We successfully demonstrate a quantum gas microscopy using the Faraday effect
which has an inherently non-destructive nature. The observed Faraday rotation
angle reaches 3.0(2) degrees for a single atom. We reveal the non-destructive
feature of this Faraday imaging method by comparing the detuning dependence of
the Faraday signal strength with that of the photon scattering rate. We
determine the atom distribution with deconvolution analysis. We also
demonstrate the absorption and the dark field Faraday imaging, and reveal the
different shapes of the point spread functions for these methods, which are
fully explained by theoretical analysis. Our result is an important first step
towards an ultimate quantum non-demolition site-resolved imaging and
furthermore opens up the possibilities for quantum feedback control of a
quantum many-body system with a single-site resolution.


title:
Effect of spectral index distribution on estimating the AGN radio
  luminosity function

abstract:
  In this paper, we scrutinize the effect of spectral index distribution on
estimating the AGN (active galactic nucleus) radio luminosity function (RLF) by
a Monte Carlo method. We find that the traditional bivariate RLF estimators can
cause bias in varying degree. The bias is especially pronounced for the
flat-spectrum radio sources whose spectral index distribution is more
scattered. We believe that the bias is caused because the $K$-corrections
complicate the truncation boundary on the $L-z$ plane of the sample, but the
traditional bivariate RLF estimators have difficulty in dealing with this
boundary condition properly. We suggest that the spectral index distribution
should be incorporated into the RLF analysis process to obtain a robust
estimation. This drives the need for a trivariate function of the form
$\Phi(\alpha,z,L)$ which we show provides an accurate basis for measuring the
RLF.


title:
Cures for the Expansion Shock and the Shock Instability of the Roe
  Scheme

abstract:
  A common defect of the Roe scheme is the production of non-physical expansion
shock and shock instability. An improved method with several advantages was
presented to suppress the shock instability. However, this method cannot
prevent expansion shock and is incompatible with the traditional curing method
for expansion shock. Therefore, the traditional curing mechanism is analyzed.
The discussion explains the effectiveness of the traditional curing method and
identifies several defects, one of which leads to incompatibility between
curing the shock instability and expansion shock. Consequently, a new improved
Roe scheme is proposed in this study. This scheme is concise, easy to
implement, low computational cost, and robust. More importantly, the scheme can
simultaneously cure the shock instability and expansion shock without
additional costs.


title:
Verification of high-speed solar wind stream forecasts using operational
  solar wind models

abstract:
  High-speed solar wind streams emanating from coronal holes are frequently
impinging on the Earth's magnetosphere causing recurrent, medium-level
geomagnetic storm activity. Modeling high-speed solar wind streams is thus an
essential element of successful space weather forecasting. Here we evaluate
high-speed stream forecasts made by the empirical solar wind forecast (ESWF)
and the semiempirical Wang-Sheeley-Arge (WSA) model based on the in situ plasma
measurements from the ACE spacecraft for the years 2011 to 2014. While the ESWF
makes use of an empirical relation between the coronal hole area observed in
Solar Dynamics Observatory (SDO)/Atmospheric Imaging Assembly (AIA) images and
solar wind properties at the near-Earth environment, the WSA model establishes
a link between properties of the open magnetic field lines extending from the
photosphere to the corona and the background solar wind conditions. We found
that both solar wind models are capable of predicting the large-scale features
of the observed solar wind speed (root-mean-square error, RMSE $\approx$ 100
km/s) but tend to either overestimate (ESWF) or underestimate (WSA) the number
of high-speed solar wind streams (threat score, TS $\approx$ 0.37). The
predicted high-speed streams show typical uncertainties in the arrival time of
about 1 day and uncertainties in the speed of about 100 km/s. General
advantages and disadvantages of the investigated solar wind models are
diagnosed and outlined.


title:
Local Stellar Kinematics from RAVE data - VII. Metallicity Gradients
  from Red Clump Stars

abstract:
  We investigate the Milky Way Galaxy's radial and vertical metallicity
gradients using a sample of 47,406 red clump stars from the RAVE DR4. This
sample is more than twice the size of the largest sample in the literature
investigating radial and vertical metallicity gradients. The absolute magnitude
of Groenewegen (2008) is used to determine distances to our sample stars. The
resulting distances agree with the RAVE DR4 distances Binney et al. (2014) of
the same stars. Our photometric method also provides distances to 6185 stars
that are not assigned a distance in RAVE DR4. The metallicity gradients are
calculated with their current orbital positions ($R_{gc}$ and $Z$) and with
their orbital properties (mean Galactocentric distance, $R_{m}$ and $z_{max}$),
as a function of the distance to the Galactic plane:
d[Fe/H]/d$R_{gc}=$-$0.047\pm0.003$ dex/kpc for $0\leq |Z|\leq0.5$ kpc and
d[Fe/H]/d$R_m=$-$0.025\pm0.002$ dex/kpc for $0\leq z_{max}\leq0.5$ kpc. This
reaffirms the radial metallicity gradient in the thin disc but highlights that
gradients are sensitive to the selection effects caused by the difference
between $R_{gc}$ and $R_{m}$. The radial gradient is flat in the distance
interval 0.5-1 kpc from the plane and then becomes positive greater than 1 kpc
from the plane. The radial metallicity gradients are also eccentricity
dependent. We showed that d[Fe/H]/d$R_m=$-$0.089\pm0.010$, -$0.073\pm0.007$,
-$0.053\pm0.004$ and -$0.044\pm0.002$ dex/kpc for $e_p\leq0.05$, $e_p\leq0.07$,
$e_p\leq0.10$ and $e_p\leq0.20$ sub-samples, respectively, in the distance
interval $0\leq z_{max}\leq0.5$ kpc. Similar trend is found for vertical
metallicity gradients. Both the radial and vertical metallicity gradients are
found to become shallower as the eccentricity of the sample increases. These
findings can be used to constrain different formation scenarios of the thick
and thin discs.


title: New Characterization of Appell polynomials

abstract:
  We prove characterizations of Appell polynomials by means of symmetric
property. For these polynomials, we establish a simple linear expression in
terms of Bernoulli and Euler polynomials. As applications, we give interesting
examples. In addition, from our study, we obtain Fourier expansions of Appell
polynomials. This result recovers Fourier expansions known for Bernoulli and
Euler polynomials and obtains the Fourier expansions for higher order
Bernoulli-Euler's one.


title:
Existence of stationary turbulent flows with variable positive vortex
  intensity

abstract:
  We prove the existence of stationary turbulent flows with arbitrary positive
vortex circulation on non simply connected domains. Our construction yields
solutions for all real values of the inverse temperature with the exception of
a quantized set, for which blow-up phenomena may occur. Our results complete
the analysis initiated in [J. Diff. Equ. 260 (2016), 339-369].


title: Closed-loop Stability Analysis of a Gantry Crane with Heavy Chain

abstract:
  In this paper, we analyze a systematically designed and easily tunable
backstepping-based boundary control concept developed by Thull, Wild, and Kugi
(2006) for a gantry crane with heavy chain and payload. The corresponding
closed-loop system is formulated as an abstract evolution equation in an
appropriate Hilbert space. Non-restrictive conditions for the controller
coefficients are derived, under which the solutions are described by a
$C_0$-semigroup of contractions, and are asymptotically stable. Moreover, by
applying Huang's theorem we can finally even show that under these conditions
the controller renders the closed-loop system exponentially stable.


title:
Thin-shell instanton tunneling: something-to-something or
  nothing-to-something?

abstract:
  There exist two interpretations of instantons in the literature. The first
interpretation regards instanton as divider between the initial and final
hypersurfaces. The Coleman-De Luccia instanton is one such an example. The
second interpretation, proposed by Brown and Weinberg, considers instanton as
connector between the initial and final hypersurfaces. In this proceedings, we
try to suitably and intuitively argue that these two interpretations are
complementary to each other under certain conditions. Furthermore, we
demonstrate that the decay rate obtained from the Euclidean treatment and the
Hamiltonian treatment both are consistent with each other, which may help to
dissolve some concerns about the validity of regularization technique employed
in the treatment of the cusp singularity of instantons. Based on these, we
argue that instantons can be a sensible tool to address the information loss
problem.


title: On the Capacity of Eilenberg-MacLane and Moore Spaces

abstract:
  K. Borsuk in 1979, in the Topological Conference in Moscow, introduced the
concept of the capacity of a compactum and asked some questions concerning
properties of the capacity of compacta. In this paper, we give partial positive
answers to three of these questions in some cases. In fact, by describing
spaces homotopy dominated by Moore and Eilenberg-MacLane spaces, we obtain the
capacity of a Moore space $M(A,n)$ and an Eilenberg-MacLane space $K(G,n)$.
Also, we compute the capacity of the wedge sum of finitely many Moore spaces of
different degrees and the capacity of the product of finitely many
Eilenberg-MacLane spaces of different homotopy types. In particular, we give
exact capacity of the wedge sum of finitely many spheres of the same or
different dimensions.


title:
Cayley parametrization and the rotation group over a non-archimedean
  pythagorean field

abstract:
  Using Cayley transform, we show how to construct rotation matrices
\emph{infinitely near} the identity matrix over a non-archimedean pythagorean
field. As an application, an alternative way to construct non-central proper
normal subgroups of the rotation group over such fields is provided.


title: Lorentz and CPT Violation in Heavy Quark Physics

abstract:
  Violations of the Lorentz and CPT symmetries can appear as observable effects
in the direct production of top quarks and their subsequent decays. Earlier
results for the $q\bar{q}$ production process for $t\bar{t}$ pairs have been
extended to include the gluon fusion process which dominates at the LHC. In
addition results are obtained for testing CPT symmetry through single top quark
production.


title: Latent Tree Language Model

abstract:
  In this paper we introduce Latent Tree Language Model (LTLM), a novel
approach to language modeling that encodes syntax and semantics of a given
sentence as a tree of word roles.
  The learning phase iteratively updates the trees by moving nodes according to
Gibbs sampling. We introduce two algorithms to infer a tree for a given
sentence. The first one is based on Gibbs sampling. It is fast, but does not
guarantee to find the most probable tree. The second one is based on dynamic
programming. It is slower, but guarantees to find the most probable tree. We
provide comparison of both algorithms.
  We combine LTLM with 4-gram Modified Kneser-Ney language model via linear
interpolation. Our experiments with English and Czech corpora show significant
perplexity reductions (up to 46% for English and 49% for Czech) compared with
standalone 4-gram Modified Kneser-Ney language model.


title: Hubble induced mass after inflation in spectator field models

abstract:
  Spectator field models such as the curvaton scenario and the modulated
reheating are attractive scenarios for the generation of the cosmic curvature
perturbation, as the constraints on inflation models are relaxed. In this
paper, we discuss the effect of Hubble induced masses on the dynamics of
spectator fields after inflation. We pay particular attention to the Hubble
induced mass by the kinetic energy of an oscillating inflaton, which is
generically unsuppressed but often overlooked. In the curvaton scenario, the
Hubble induced mass relaxes the constraint on the property of the inflaton and
the curvaton, such as the reheating temperature and the inflation scale. We
comment on the implication of our discussion for baryogenesis in the curvaton
scenario. In the modulated reheating, the predictions of models e.g. the
non-gaussianity can be considerably altered. Furthermore, we propose a new
model of the modulated reheating utilizing the Hubble induced mass which
realizes a wide range of the local non-gaussianity parameter.


title:
Hyperfine Splitting in True Muonium to $\mathcal{O}(m_\mu\alpha^6)$: Two
  Photon Annihilation Contribution from Other Flavors

abstract:
  The two-photon-annihilation contribution to the true muonium hyperfine
splitting arising from $e$ and $\tau$ loops is obtained analytically at order
$m_\mu\alpha^6$. The contribution to the hyperfine splitting is $-2.031092873
m_\mu\alpha^6/n^3\pi^2=-793.926988/n^3$ MHz. The contribution to the triplet
true muonium decay rate has also been obtained and was found to be $9.825708266
m_\mu\alpha^6/n^3\pi^2=3840.737698/n^3$ MHz. Additional results have been
computed for other purely leptonic bound states.


title: Signs of the Leading Coefficients of the Resultant

abstract:
  We construct a certain $\F_2$-valued analogue of the mixed volume of lattice
polytopes. This 2-mixed volume cannot be defined as a polarization of any kind
of an additive measure, or characterized by any kind of its monotonicity
properties, because neither of the two makes sense over $\F_2$. In this sense,
the convex-geometric nature of the 2-mixed volume remains unclear. On the other
hand, the 2-mixed volume seems to be no less natural and useful than the
classical mixed volume -- in particular, it also plays an important role in
algebraic geometry. As an illustration of this role, we obtain a closed-form
expression in terms of the 2-mixed volume to compute the signs of the leading
coefficients of the resultant, which were by now explicitly computed only for
some special cases.


title: Preopen sets in bispaces

abstract:
  The notion of preopen sets and precontinuity in a topological space was
introduced by Mashhour et. al in 1982 [13]. Later the same was studied in a
bitopological space in [7] and [9]. Here we have studied the idea of pairwise
preopen sets (semi preopen) and pairwise precontinuity (semi precontinuity) in
a more general structure of a bispace and investigate how far several results
as valid in a bitopological space are affected in a bispace.


title:
Primordial Gravitational Waves Induced by Magnetic Fields in an
  Ekpyrotic Scenario

abstract:
  Both inflationary and ekpyrotic scenarios can account for the origin of the
large scale structure of the universe. It is often said that detecting
primordial gravitational waves is the key to distinguish both scenarios. We
show that this is not true if the gauge kinetic function is present in the
ekpyrotic scenario. In fact, primordial gravitational waves sourced by the
gauge field can be produced in an ekpyrotic universe. We also study scalar
fluctuations sourced by the gauge field and show that it is negligible compared
to primordial gravitational waves. This comes from the fact that the fast roll
condition holds in ekpyrotic models.


title: Stochastic calculus and sample path estimation for jump processes

abstract:
  We describe stochastic calculus in the context of processes that are driven
by an adapted point process of locally finite intensity and are differentiable
between jumps. This includes Markov chains as well as non-Markov processes. By
analogy with It\^o processes we define the drift and diffusivity, which we then
use to describe a general sample path estimate. We then give several examples,
including ODE approximation, processes with linear drift, first passage times,
and an application to the stochastic logistic model.


title: QED shifts in multivalent heavy ions

abstract:
  The quantum electrodynamics (QED) corrections are directly incorporated into
the most accurate treatment of the correlation corrections for ions with
complex electronic structure of interest to metrology and tests of fundamental
physics. We compared the performance of four different QED potentials for
various systems to access the accuracy of QED calculations and to make
prediction of highly charged ion properties urgently needed for planning future
experiments. We find that all four potentials give consistent and reliable
results for ions of interest. For the strongly bound electrons the nonlocal
potentials are more accurate than the local potential.


title: Nanoptera in a Period-2 Toda Chain

abstract:
  We study asymptotic solutions to a singularly-perturbed, period-2 Toda
lattice and use exponential asymptotics to examine `nanoptera', which are
nonlocal solitary waves with constant-amplitude, exponentially small wave
trains. With this approach, we isolate the exponentially small,
constant-amplitude waves, and we elucidate the dynamics of these waves in terms
of the Stokes phenomenon. We find a simple asymptotic expression for the waves,
and we study configurations in which these waves vanish, producing localized
solitary-wave solutions. In the limit of small mass ratio, we derive a simple
anti-resonance condition for the manifestation these wave-free solutions.


title:
Morphology dependent optical anisotropies in the n-type polymer
  P(NDI2OD-T2)

abstract:
  Organic semiconductors tend to self-assemble into highly ordered and oriented
morphologies with anisotropic optical properties. Studying these optical
anisotropies provides insight into processing-dependent structural properties
and informs the photonic design of organic photovoltaic and light-emitting
devices. Here, we measure the anisotropic optical properties of spin-cast films
of the n-type polymer P(NDI2OD-T2) using momentum-resolved absorption and
emission spectroscopies. We quantify differences in the optical anisotropies of
films deposited with distinct face-on and edge-on morphologies. In particular,
we infer a substantially larger out-of-plane tilt angle of the optical
transition dipole moment in high temperature annealed, edge-on films.
Measurements of spectral differences between in-plane and out-of-plane dipoles,
further indicate regions of disordered polymers in low temperature annealed
face-on films that are otherwise obscured in traditional X-ray and optical
characterization techniques. The methods and analysis developed in this work
provide a way to identify and quantify subtle optical and structural
anisotropies in organic semiconductors that are important for understanding and
designing highly efficient thin film devices.


title:
Classification of Category $\mathcal{J}$ Modules for Divergence Zero
  Vector Fields on a Torus

abstract:
  We consider a category of modules that admit compatible actions of the
commutative algebra of Laurent polynomials and the Lie algebra of divergence
zero vector fields on a torus and have a weight decomposition with finite
dimensional weight spaces. We classify indecomposable and irreducible modules
in this category.


title: On a generalisation of Mantel's theorem to uniformly dense hypergraphs

abstract:
  For a $k$-uniform hypergraph $F$ let $\textrm{ex}(n,F)$ be the maximum number
of edges of a $k$-uniform $n$-vertex hypergraph $H$ which contains no copy of
$F$. Determining or estimating $\textrm{ex}(n,F)$ is a classical and central
problem in extremal combinatorics. While for $k=2$ this problem is well
understood, due to the work of Tur\'an and of Erd\H{o}s and Stone, only very
little is known for $k$-uniform hypergraphs for $k>2$. We focus on the case
when $F$ is a $k$-uniform hypergraph with three edges on $k+1$ vertices.
Already this very innocent (and maybe somewhat particular looking) problem is
still wide open even for $k=3$.
  We consider a variant of the problem where the large hypergraph $H$ enjoys
additional hereditary density conditions. Questions of this type were suggested
by Erd\H os and S\'os about 30 years ago. We show that every $k$-uniform
hypergraph $H$ with density $>2^{1-k}$ with respect to every large collections
of $k$-cliques induced by sets of $(k-2)$-tuples contains a copy of $F$. The
required density $2^{1-k}$ is best possible as higher order tournament
constructions show.
  Our result can be viewed as a common generalisation of the first extremal
result in graph theory due to Mantel (when $k=2$ and the hereditary density
condition reduces to a normal density condition) and a recent result of Glebov,
Kr\'al', and Volec (when $k=3$ and large subsets of vertices of $H$ induce a
subhypergraph of density $>1/4$). Our proof for arbitrary $k\geq 2$ utilises
the regularity method for hypergraphs.


title: Random simplicial complexes

abstract:
  Random shapes arise naturally in many contexts. The topological and geometric
structure of such objects is interesting for its own sake, and also for
applications. In physics, for example, such objects arise naturally in quantum
gravity, in material science, and in other settings. Stochastic topology may
also be considered as a null hypothesis for topological data analysis.
  In this chapter we overview combinatorial aspects of stochastic topology. We
focus on the topological and geometric properties of random simplicial
complexes. We introduce a few of the fundamental models in Section 23.1. We
review high-dimensional expander-like properties of random complexes in Section
23.2. We discuss threshold behavior and phase transitions in Section 23.3, and
Betti numbers and persistent homology in Section 23.4.


title: Subdiffusion of volcanic earthquakes

abstract:
  A comparative study is performed on volcanic seismicities at Icelandic
volcano, Eyjafjallaj\"okull, and Mt. Etna in Sicily from the viewpoint of
complex systems science, and the discovery of remarkable similarities between
them is reported. In these seismicities as point processes, the jump
probability distributions of earthquakes (i.e., distributions of the distance
between the hypocenters of two successive events) are found to obey the
exponential law, whereas the waiting-time distributions (i.e., distributions of
inter-occurrence time of two successive events) follow the power law. A careful
analysis is made about the finite size effects on the waiting-time
distributions, and the previously reported results for Mt. Etna (Abe and Suzuki
2015) are reinterpreted accordingly. It is shown that the growth of the seismic
region in time is subdiffusive at both volcanoes. The aging phenomenon is
commonly observed in the "event-time-averaged" mean-squared displacements of
the hypocenters. A comment is also made on (non-)Markovianity of the processes.


title:
Finite time measurements by Unruh-DeWitt detector and Landauer's
  principle

abstract:
  The model of Unruh-DeWitt detector coupled to the scalar field for finite
time is studied. A systematic way of computing finite time corrections in
various cases is suggested and nonperturbative effects like thermalization are
discussed. It is shown in particular that adiabatic switching off the coupling
between the detector and the thermal bath leaves non-vanishing corrections to
the detector's levels distribution. Considering the two level detector as an
information bearing degree of freedom encoding one bit of information, limits
on external work for the detector's (de)couling in finite time following from
the Landauer's bound are formulated.


title:
Generalized Thomas-Fermi Equations as the Lampariello Class of
  Emden-Fowler Equations

abstract:
  A one-parameter family of Emden-Fowler equations defined by Lampariello's
parameter p which, upon using Thomas-Fermi boundary conditions, turns into a
set of generalized Thomas-Fermi equations comprising the standard Thomas-Fermi
equation for p=1 is studied in this paper. The entire family is shown to be non
integrable by reduction to the corresponding Abel equations whose invariants do
not satisfy a known integrability condition. We also discuss the equivalent
dynamical system of equations for the standard Thomas-Fermi equation and
perform its phase-plane analysis. The results of the latter analysis are
similar for the whole class.