title:
Opportunistic Network Decoupling With Virtual Full-Duplex Operation in
  Multi-Source Interfering Relay Networks

abstract:
  We introduce a new achievability scheme, termed opportunistic network
decoupling (OND), operating in virtual full-duplex mode. In the scheme, a novel
relay scheduling strategy is utilized in the $K\times N\times K$ channel with
interfering relays, consisting of $K$ source--destination pairs and $N$
half-duplex relays in-between them. A subset of relays using alternate relaying
is opportunistically selected in terms of producing the minimum total
interference level, thereby resulting in network decoupling. As our main
result, it is shown that under a certain relay scaling condition, the OND
protocol achieves $K$ degrees of freedom even in the presence of interfering
links among relays. Numerical evaluation is also shown to validate the
performance of the proposed OND. Our protocol basically operates in a fully
distributed fashion along with local channel state information, thereby
resulting in a relatively easy implementation.


title:
A Numerical Approach to Optimal Coherent Quantum LQG Controller Design
  Using Gradient Descent

abstract:
  This paper is concerned with coherent quantum linear quadratic Gaussian
(CQLQG) control. The problem is to find a stabilizing measurement-free quantum
controller for a quantum plant so as to minimize a mean square cost for the
fully quantum closed-loop system. The plant and controller are open quantum
systems interconnected through bosonic quantum fields. In comparison with the
observation-actuation structure of classical controllers, coherent quantum
feedback is less invasive to the quantum dynamics. The plant and controller
variables satisfy the canonical commutation relations (CCRs) of a quantum
harmonic oscillator and are governed by linear quantum stochastic differential
equations (QSDEs). In order to correspond to such oscillators, these QSDEs must
satisfy physical realizability (PR) conditions in the form of quadratic
constraints on the state-space matrices, reflecting the CCR preservation in
time. The symmetry of the problem is taken into account by introducing
equivalence classes of coherent quantum controllers generated by symplectic
similarity transformations. We discuss a modified gradient flow, which is
concerned with norm-balanced realizations of controllers. A line-search
gradient descent algorithm with adaptive stepsize selection is proposed for the
numerical solution of the CQLQG control problem. The algorithm finds a local
minimum of the LQG cost over the parameters of the Hamiltonian and coupling
operators of a stabilizing coherent quantum controller, thus taking the PR
constraints into account. A convergence analysis of the algorithm is presented.
Numerical examples of designing locally optimal CQLQG controllers are provided
in order to demonstrate the algorithm performance.


title: Nearby Lagrangian fibers and Whitney sphere links

abstract:
  Let n>3, and let L be a Lagrangian embedding of an n-disk into the cotangent
bundle of n-dimensional Euclidean space that agrees with the cotangent fiber
over a non-zero point x outside a compact set. Assume that L is disjoint from
the cotangent fiber at the origin. The projection of L to the base extends to a
map of the n-sphere into the complement of the origin in Euclidean n-space . We
show that this map is homotopically trivial, answering a question of Y.
Eliashberg. We give a number of generalizations of this result, including
homotopical constraints on embedded Lagrangian disks in the complement of
another Lagrangian submanifold, and on two-component links of immersed
Lagrangian spheres with one double point in 2n-dimensional space, under
suitable dimension and Maslov index hypotheses. The proofs combine techniques
from the authors' previous work, constructing bounding manifolds from moduli
spaces of Floer-holomorphic disks, with symplectic field theory.


title:
Learning and Inference of Dexterous Grasps for Novel Objects with
  Underactuated Hands

abstract:
  Recent advances have been made in learning of grasps for fully actuated
hands. A typical approach learns the target locations of finger links on the
object. When a new object must be grasped, new finger locations are generated,
and a collision free reach-to-grasp trajectory is planned. This assumes a
collision free trajectory to the final grasp. This is not possible with
underactuated hands, which cannot be guaranteed to avoid contact, and in fact
exploit contacts with the object during grasping, so as to reach an equilibrium
state in which the object is held securely. Unfortunately, these contact
interactions are i) not directly controllable, and ii) hard to monitor during a
real grasp. We overcome these problems so as to permit learning of
transferrable grasps for underactuated hands. We make two main technical
innovations. First, we model contact interactions during the grasp implicitly.
We do this by modelling motor commands that lead reliably to the equilibrium
state, rather than modelling contact changes themselves. This alters our
reach-to-grasp model. Second, we extend our contact model learning algorithm to
work with multiple training examples for each grasp type. This requires the
ability to learn which parts of the hand reliably interact with the object
during a particular grasp. Our approach learns from a rigid body simulation.
This enables us to learn how to approach the object and close the underactuated
hand from a variety of poses. From nine training grasps on three objects the
method transferred grasps to previously unseen, novel objects, that differ
significantly from the training objects, with an 80% success rate.


title: Combinatorics of $\lambda$-terms: a natural approach

abstract:
  We consider combinatorial aspects of $\lambda$-terms in the model based on de
Bruijn indices where each building constructor is of size one. Surprisingly,
the counting sequence for $\lambda$-terms corresponds also to two families of
binary trees, namely black-white trees and zigzag-free ones. We provide a
constructive proof of this fact by exhibiting appropriate bijections. Moreover,
we identify the sequence of Motzkin numbers with the counting sequence for
neutral $\lambda$-terms, giving a bijection which, in consequence, results in
an exact-size sampler for the latter based on the exact-size sampler for
Motzkin trees of Bodini et alli. Using the powerful theory of analytic
combinatorics, we state several results concerning the asymptotic growth rate
of $\lambda$-terms in neutral, normal, and head normal forms. Finally, we
investigate the asymptotic density of $\lambda$-terms containing arbitrary
fixed subterms showing that, inter alia, strongly normalising or typeable terms
are asymptotically negligible in the set of all $\lambda$-terms.


title:
Stability of parabolic Harnack inequalities for symmetric non-local
  Dirichlet forms

abstract:
  In this paper, we establish stability of parabolic Harnack inequalities for
symmetric non-local Dirichlet forms on metric measure spaces under general
volume doubling condition. We obtain their stable equivalent characterizations
in terms of the jumping kernels, variants of cutoff Sobolev inequalities, and
Poincar\'e inequalities. In particular, we establish the connection between
parabolic Harnack inequalities and two-sided heat kernel estimates, as well as
with the H\"older regularity of parabolic functions for symmetric non-local
Dirichlet forms.


title:
A Modified Frequency Domain Condition for the Physical Realizability of
  Linear Quantum Stochastic Systems

abstract:
  This note is concerned with a modified version of the frequency domain
physical realizability (PR) condition for linear quantum systems. We consider
open quantum systems whose dynamic variables satisfy the canonical commutation
relations of an open quantum harmonic oscillator and are governed by linear
quantum stochastic differential equations (QSDEs). In order to correspond to
physical quantum systems, these QSDEs must satisfy PR conditions. We provide a
relatively simple proof that the PR condition is equivalent to the frequency
domain $(J,J)$-unitarity of the input-output transfer function and
orthogonality of the feedthrough matrix of the system without the technical
spectral assumptions required in previous work. We also show that the poles and
transmission zeros associated with the transfer function of PR linear quantum
systems are the mirror reflections of each other about the imaginary axis. An
example is provided to illustrate the results.


title: Perfect transmission invisibility for waveguides with sound hard walls

abstract:
  We are interested in a time harmonic acoustic problem in a waveguide with
locally perturbed sound hard walls. We consider a setting where an observer
generates incident plane waves at $-\infty$ and probes the resulting scattered
field at $-\infty$ and $+\infty$. Practically, this is equivalent to measure
the reflection and transmission coefficients respectively denoted $R$ and $T$.
In [9], a technique has been proposed to construct waveguides with smooth walls
such that $R=0$ and $|T|=1$ (non reflection). However the approach fails to
ensure $T=1$ (perfect transmission without phase shift). In this work, first we
establish a result explaining this observation. More precisely, we prove that
for wavenumbers smaller than a given bound $k_{\star}$ depending on the
geometry, we cannot have $T=1$ so that the observer can detect the presence of
the defect if he/she is able to measure the phase at $+\infty$. In particular,
if the perturbation is smooth and small (in amplitude and in width),
$k_{\star}$ is very close to the threshold wavenumber. Then, in a second step,
we change the point of view and, for a given wavenumber, working with singular
perturbations of the domain, we show how to obtain $T=1$. In this case, the
scattered field is exponentially decaying both at $-\infty$ and $+\infty$. We
implement numerically the method to provide examples of such undetectable
defects.


title: DimensionApp : android app to estimate object dimensions

abstract:
  In this project, we develop an android app that uses on computer vision
techniques to estimate an object dimension present in field of view. The app
while having compact size, is accurate upto +/- 5 mm and robust towards touch
inputs. We use single-view metrology to compute accurate measurement. Unlike
previous approaches, our technique does not rely on line detection and can be
generalize to any object shape easily.


title:
Spectral isoperimetric inequalities for singular interactions on open
  arcs

abstract:
  We consider the problem of geometric optimization for the lowest eigenvalue
of the two-dimensional Schr\"odinger operator with an attractive
$\delta$-interaction supported on an open arc with two free endpoints. Under a
constraint of fixed length of the arc, we prove that the maximizer is a line
segment, the respective spectral isoperimetric inequality being strict. We also
show that in the optimization problem for the same spectral quantity, but with
the constraint of fixed endpoints, the optimizer is the line segment connecting
them. As a consequence of the result for $\delta$-interaction, we obtain that a
line segment is also the maximizer in the optimization problem for the lowest
eigenvalue of the Robin Laplacian on a plane with a slit along an open arc of
fixed length.


title:
Three Tiers Neighborhood Graph and Multi-graph Fusion Ranking for
  Multi-feature Image Retrieval: A Manifold Aspect

abstract:
  Single feature is inefficient to describe content of an image, which is a
shortcoming in traditional image retrieval task. We know that one image can be
described by different features. Multi-feature fusion ranking can be utilized
to improve the ranking list of query. In this paper, we first analyze graph
structure and multi-feature fusion re-ranking from manifold aspect. Then, Three
Tiers Neighborhood Graph (TTNG) is constructed to re-rank the original ranking
list by single feature and to enhance precision of single feature. Furthermore,
we propose Multi-graph Fusion Ranking (MFR) for multi-feature ranking, which
considers the correlation of all images in multiple neighborhood graphs.
Evaluations are conducted on UK-bench, Corel-1K, Corel-10K and Cifar-10
benchmark datasets. The experimental results show that our TTNG and MFR
outperform than other state-of-the-art methods. For example, we achieve
competitive results N-S score 3.91 and precision 65.00% on UK-bench and
Corel-10K datasets respectively.


title: Effective Medium Theory of Electromagnetic and Quantum Metamaterials

abstract:
  Here, we present an overview of recent developments in the characterization
of electromagnetic and quantum metamaterials using effective medium methods. It
is highlighted that both electromagnetic and electronic systems can be
homogenized in a unified manner based on the introduction of an effective
Hamiltonian operator that describes the time evolution of the macroscopic
initial states as well as the stationary states of the relevant system.
Furthermore, it is shown that in some circumstances quadratic forms of the
fields, such as the energy, can be exactly determined using the effective
medium theory.


title:
Globally Lipschitz minimizers for variational problems with linear
  growth

abstract:
  We study the minimization of convex, variational integrals of linear growth
among all functions in the Sobolev space $W^{1,1}$ with prescribed boundary
values (or its equivalent formulation as a boundary value problem for a
degenerately elliptic Euler--Lagrange equation). Due to insufficient
compactness properties of these Dirichlet classes, the existence of solutions
does not follow in a standard way by the direct method in the calculus of
variations and in fact might fail, as it is well-known already for the
non-parametric minimal surface problem. Assuming radial structure, we establish
a necessary and sufficient condition on the integrand such that the Dirichlet
problem is in general solvable, in the sense that a Lipschitz solution exists
for any regular domain and all prescribed regular boundary values, via the
construction of appropriate barrier functions in the tradition of Serrin's
paper [19].


title:
The End of effective Law Enforcement in the Cloud? To encypt, or not to
  encrypt

abstract:
  With an exponentially increasing usage of cloud services, the need for
forensic investigations of virtual space is equally in constantly increasing
demand, which includes as a very first approach, the gaining of access to it as
well as the data stored. This is an aspect that faces a number of challenges,
stemming not only from the technical difficulties and peculiarities, but
equally covers the interaction with an emerging line of businesses offering
cloud storage and services. Beyond the forensic aspects, it also covers to an
ever increasing amount the non-forensic considerations, such as the
availability of logs and archives, legal and data protection considerations
from a global perspective and the clashes in between, as well as the ever
competing interests between law enforcement to seize evidence which is
non-physical, and businesses who need to be able to continue to operate and
provide their hosted services, even if law enforcement seek to collect
evidence. The trend post-Snowden has been unequivocally towards default
encryption, and driven by market leaders such as Apple, motivated to a large
extent by the perceived demands for privacy of the consumer. The central
question to be explored in this paper is to what extent this trend towards
default encryption will have a negative impact on law enforcement
investigations and possibilities, and will at the end attempt to provide a
solution, which takes into account the needs of both law enforcement, but also
of the service providers. It is hoped that the recommendations from this paper
will be able to have an impact in the ability for law enforcement to continue
with their investigations in an efficient manner, whilst also safeguarding the
ability for business to thrive and continue to develop and offer new and
innovative solutions, which do not put law enforcement at risk.


title: Scalable Estimation of Precision Maps in a MapReduce Framework

abstract:
  This paper presents a large-scale strip adjustment method for LiDAR mobile
mapping data, yielding highly precise maps. It uses several concepts to achieve
scalability. First, an efficient graph-based pre-segmentation is used, which
directly operates on LiDAR scan strip data, rather than on point clouds.
Second, observation equations are obtained from a dense matching, which is
formulated in terms of an estimation of a latent map. As a result of this
formulation, the number of observation equations is not quadratic, but rather
linear in the number of scan strips. Third, the dynamic Bayes network, which
results from all observation and condition equations, is partitioned into two
sub-networks. Consequently, the estimation matrices for all position and
orientation corrections are linear instead of quadratic in the number of
unknowns and can be solved very efficiently using an alternating least squares
approach. It is shown how this approach can be mapped to a standard key/value
MapReduce implementation, where each of the processing nodes operates
independently on small chunks of data, leading to essentially linear
scalability. Results are demonstrated for a dataset of one billion measured
LiDAR points and 278,000 unknowns, leading to maps with a precision of a few
millimeters.


title: The classification of $3^n$ subfactors and related fusion categories

abstract:
  We investigate a (potentially infinite) series of subfactors, called $3^n$
subfactors, including $A_4$, $A_7$, and the Haagerup subfactor as the first
three members corresponding to $n=1,2,3$. Generalizing our previous work for
odd $n$, we further develop a Cuntz algebra method to construct $3^n$
subfactors and show that the classification of the $3^n$ subfactors and related
fusion categories is reduced to explicit polynomial equations under a mild
assumption, which automatically holds for odd $n$.In particular, our method
with $n=4$ gives a uniform construction of 4 finite depth subfactors, up to
dual,without intermediate subfactors of index $3+\sqrt{5}$. It also provides a
key step for a new construction of the Asaeda-Haagerup subfactor due to
Grossman, Snyder, and the author.


title:
Stochastic foundations of undulatory transport phenomena: Generalized
  Poisson-Kac processes - Part I Basic theory

abstract:
  This article introduces the notion of Generalized Poisson-Kac (GPK) processes
which generalize the class of "telegrapher's noise dynamics" introduced by Marc
Kac in 1974, usingPoissonian stochastic perturbations. In GPK processes the
stochastic perturbation acts as a switching amongst a set of stochastic
velocity vectors controlled by a Markov-chain dynamics. GPK processes possess
trajectory regularity (almost everywhere) and asymptotic Kac limit, namely the
convergence towards Brownian motion (and to stochastic dynamics driven by
Wiener perturbations), which characterizes also the long-term/long-distance
properties of these processes. In this article we introduce the structural
properties of GPK processes, leaving all the physical implications to part II
and part III.


title:
Stochastic foundations of undulatory transport phenomena: Generalized
  Poisson-Kac processes - Part II Irreversibility, Norms and Entropies

abstract:
  In this second part, we analyze the dissipation properties of Generalized
Poisson-Kac (GPK) processes, considering the decay of suitable $L^2$-norms and
the definition of entropy functions. In both cases, consistent energy
dissipation and entropy functions depend on the whole system of primitive
statistical variables, the partial probability density functions $\{
p_\alpha({\bf x},t) \}_{\alpha=1}^N$, while the corresponding energy
dissipation and entropy functions based on the overall probability density
$p({\bf x},t)$ do not satisfy monotonicity requirements as a function of time.
Examples from chaotic advection (standard map coupled to stochastic GPK
processes) illustrate this phenomenon. Some complementary physical issues are
also addressed: the ergodicity breaking in the presence of attractive
potentials, and the use of GPK perturbations to mollify stochastic field
equations.


title:
Stochastic foundations of undulatory transport phenomena: Generalized
  Poisson-Kac processes - Part III Extensions and applications to kinetic
  theory and transport

abstract:
  This third part extends the theory of Generalized Poisson-Kac (GPK) processes
to nonlinear stochastic models and to a continuum of states. Nonlinearity is
treated in two ways: (i) as a dependence of the parameters (intensity of the
stochastic velocity, transition rates) of the stochastic perturbation on the
state variable, similarly to the case of nonlinear Langevin equations, and (ii)
as the dependence of the stochastic microdynamic equations of motion on the
statistical description of the process itself (nonlinear Fokker-Planck-Kac
models). Several numerical and physical examples illustrate the theory.
Gathering nonlinearity and a continuum of states, GPK theory provides a
stochastic derivation of the nonlinear Boltzmann equation, furnishing a
positive answer to the Kac's program in kinetic theory. The transition from
stochastic microdynamics to transport theory within the framework of the GPK
paradigm is also addressed.


title: A photonic thermalization gap in disordered lattices

abstract:
  The formation of gaps -- forbidden ranges in the values of a physical
parameter -- is a ubiquitous feature of a variety of physical systems: from
energy bandgaps of electrons in periodic lattices and their analogs in
photonic, phononic, and plasmonic systems to pseudo energy gaps in aperiodic
quasicrystals. Here, we report on a `thermalization' gap for light propagating
in finite disordered structures characterized by disorder-immune chiral
symmetry -- the appearance of the eigenvalues and eigenvectors in
skew-symmetric pairs. In this class of systems, the span of sub- thermal photon
statistics is inaccessible to input coherent light, which -- once the steady
state is reached -- always emerges with super-thermal statistics no matter how
small the disorder level. We formulate an independent constraint that must be
satisfied by the input field for the chiral symmetry to be `activated' and the
gap to be observed. This unique feature enables a new form of photon-statistics
interferometry: the deterministic tuning of photon statistics -- from
sub-thermal to super-thermal -- in a compact device, without changing the
disorder level, via controlled excitation-symmetry-breaking realized by
sculpting the amplitude or phase of the input coherent field.


title: CHANG-ES VIII: Uncovering Hidden AGN Activity in Radio Polarization

abstract:
  We report on C-band (5 - 7 GHz) observations of the galaxy, NGC~2992, from
the CHANG-ES sample. This galaxy displays an embedded nuclear double-lobed
radio morphology within its spiral disk, as revealed in linearly polarized
emission but {\it not} in total intensity emission. The radio lobes are
kpc-sized, similar to what has been observed in the past for other Seyfert
galaxies, and show ordered magnetic fields. NGC~2992 has shown previous
evidence for AGN-related activity, but not the linearly polarized radio
features that we present here. We draw attention to this galaxy as the first
clear example (and prototype) of bipolar radio outflow that is revealed in
linearly polarized emission only. Such polarization observations, which are
unobscured by dust, provide a new tool for uncovering hidden weak AGN activity
which may otherwise be masked by brighter unpolarized emission within which it
is embedded. The radio lobes observed in NGC~2992 are interacting with the
surrounding interstellar medium and offer new opportunities to investigate the
interactions between nuclear outflows and the ISM in nearby galaxies. We also
compare the radio emission with a new CHANDRA X-ray image of this galaxy. A new
CHANG-ES image of NGC~3079 is also briefly shown as another example as to how
much more obvious radio lobes appear in linear polarization as opposed to total
intensity.


title: On the Sum of Divisors of Mixed Powers

abstract:
  Let $d(n)$ denote the Dirichlet divisor function. Define \begin{equation*}
  \mathcal{S}_{k}(x)=\sum_{\substack{1\leqslant n_1,n_2,n_3 \leqslant x^{1/2}
\\ 1\leqslant n_4\leqslant x^{1/k} }} d(n_1^2+n_2^2+n_3^2+n_4^k),
  \qquad 3\leqslant k\in \mathbb{N}. \end{equation*} In this paper, we
establish an asymptotic formula of $\mathcal{S}_k(x)$ and prove that
\begin{equation*}
  \mathcal{S}_k(x)=C_1(k)x^{3/2+1/k}\log
x+C_2(k)x^{3/2+1/k}+O(x^{3/2+1/k-\delta_k+\varepsilon}), \end{equation*} where
$C_1(k),\,C_2(k)$ are two constants depending only on $k,$ with
$\delta_3=\frac{19}{60},\,\delta_4=\frac{5}{24},\,\delta_5=\frac{19}{140},\,\delta_6=\frac{25}{192},\,
\delta_7=\frac{457}{4032},\,\delta_k=\frac{1}{k+2}+\frac{1}{2k^2(k-1)}$ for
$k\geqslant8.$


title:
Biseparability of noisy pseudopure, W and GHZ states using conditional
  quantum relative Tsallis entropy

abstract:
  We employ the conditional version of sandwiched Tsallis relative entropy to
determine 1:N-1 separability range in the noisy one-parameter families of
pseudopure and Werner-like N-qubit W, GHZ states. The range of the noisy
parameter, for which the conditional sandwiched Tsallis relative entropy is
positive, reveals perfect agreement with the necessary and sufficient criteria
for the separability in the 1:N-1 partition of these one parameter noisy
states.


title:
Obfuscating Keystroke Time Intervals to Avoid Identification and
  Impersonation

abstract:
  There are numerous opportunities for adversaries to observe user behavior
remotely on the web. Additionally, keystroke biometric algorithms have advanced
to the point where user identification and soft biometric trait recognition
rates are commercially viable. This presents a privacy concern because masking
spatial information, such as IP address, is not sufficient as users become more
identifiable by their behavior. In this work, the well-known Chaum mix is
generalized to a scenario in which users are separated by both space and time
with the goal of preventing an observing adversary from identifying or
impersonating the user. The criteria of a behavior obfuscation strategy are
defined and two strategies are introduced for obfuscating typing behavior.
Experimental results are obtained using publicly available keystroke data for
three different types of input, including short fixed-text, long fixed-text,
and long free-text. Identification accuracy is reduced by 20% with a 25 ms
random keystroke delay not noticeable to the user.


title:
Higher-dimensional absolute versions of symmetric, Frobenius, and
  quasi-Frobenius algebras

abstract:
  In this paper, we define and discuss higher-dimensional and absolute versions
of symmetric, Frobenius, and quasi-Frobenius algebras. In particular, we
compare these with the relative notions defined by Scheja and Storch. We also
prove the validity of codimension two-argument for modules over a coherent
sheaf of algebras with a $2$-canonical module, generalizing a result of the
author.


title: Auxetic Nanomaterials: Recent Progress and Future Development

abstract:
  Auxetic materials (materials with negative Poisson's ratio) and nanomaterials
have independently been for many years two of the most active research fields
in material science. Recently, these formerly independent fields have begun to
intersect in new and interesting ways due to the recent discovery of auxeticity
in nanomaterials like graphene, metal nanoplates, black phosphorus, and others.
Here we review the research emerging at the intersection of auxeticity and
nanomaterials. We first survey the atomistic mechanisms, both intrinsic and
extrinsic, that have been found, primarily through atomistic simulations, to
cause auxeticity in nanomaterials. We then outline the available experimental
evidence for auxetic nanomaterials. In order to lay the groundwork for future
work in this exciting area, we close by discussing several future prospects as
well as the current challenges in this field.


title:
Perceptual uniform descriptor and Ranking on manifold: A bridge between
  image representation and ranking for image retrieval

abstract:
  Incompatibility of image descriptor and ranking is always neglected in image
retrieval. In this paper, manifold learning and Gestalt psychology theory are
involved to solve the incompatibility problem. A new holistic descriptor called
Perceptual Uniform Descriptor (PUD) based on Gestalt psychology is proposed,
which combines color and gradient direction to imitate the human visual
uniformity. PUD features in the same class images distributes on one manifold
in most cases because PUD improves the visual uniformity of the traditional
descriptors. Thus, we use manifold ranking and PUD to realize image retrieval.
Experiments were carried out on five benchmark data sets, and the proposed
method can greatly improve the accuracy of image retrieval. Our experimental
results in the Ukbench and Corel-1K datasets demonstrated that N-S score
reached to 3.58 (HSV 3.4) and mAP to 81.77% (ODBTC 77.9%) respectively by
utilizing PUD which has only 280 dimension. The results are higher than other
holistic image descriptors (even some local ones) and state-of-the-arts
retrieval methods.


title: H-alpha features with hot onsets. II. A contrail fibril

abstract:
  The solar chromosphere observed in H-alpha consists mostly of narrow fibrils.
The longest typically originate in network or plage and arch far over adjacent
internetwork. We use data from multiple telescopes to analyze one well-observed
example in a quiet area. It resulted from the earlier passage of an
accelerating disturbance in which the gas was heated to high temperature as in
the spicule-II phenomenon. After this passage a dark H-Halpha fibril appeared
as a contrail. We use Saha-Boltzmann extinction estimation to gauge the onset
and subsequent visibilities in various diagnostics and conclude that such
H-alpha fibrils can indeed be contrail phenomena, not indicative of the
thermodynamic and magnetic environment when they are observed but of more
dynamic happenings before. They do not connect across internetwork cells but
represent launch tracks of heating events and chart magnetic field during
launch, not at present.


title: Kepler-21b: A rocky planet around a V = 8.25 magnitude star

abstract:
  HD 179070, aka Kepler-21, is a V = 8.25 F6IV star and the brightest exoplanet
host discovered by Kepler. An early detailed analysis by Howell et al. (2012)
of the first thirteen months (Q0 - Q5) of Kepler light curves revealed transits
of a planetary companion, Kepler-21b, with a radius of about 1.60 +/- 0.04
R_earth and an orbital period of about 2.7857 days. However, they could not
determine the mass of the planet from the initial radial velocity observations
with Keck-HIRES, and were only able to impose a 2-sigma upper limit of 10
M_earth. Here we present results from the analysis of 82 new radial velocity
observations of this system obtained with HARPS-N, together with the existing
14 HIRES data points. We detect the Doppler signal of Kepler-21b with a radial
velocity semi-amplitude K = 2.00 +/- 0.65 m/s, which corresponds to a planetary
mass of 5.1 +/- 1.7 M_earth. We also measure an improved radius for the planet
of 1.639 (+0.019, -0.015) R_earth, in agreement with the radius reported by
Howell et al. (2012). We conclude that Kepler-21b, with a density of 6.4 +/-
2.1 g/cm^3, belongs to the population of terrestrial planets with iron,
magnesium silicate interiors, which have lost the majority of their envelope
volatiles via stellar winds or gravitational escape. The radial velocity
analysis presented in this paper serves as example of the type of analysis that
will be necessary to confirm the masses of TESS small planet candidates.


title: On the Tree-Like Structure of Rings in Dense Solutions

abstract:
  One of the most challenging problems in polymer physics is providing a
theoretical description for the behaviour of rings in dense solutions and
melts. Although it is nowadays well established that the overall size of a ring
in these conditions scales like that of a collapsed globule, there is
compelling evidence that rings may exhibit ramified and tree-like
conformations. In this work I show how to characterise these local tree-like
structures by measuring the local writhing of the rings' segments and by
identifying the patterns of intra-chain contacts. These quantities reveal two
major topological structures: loops and terminal branches which strongly
suggest that the strictly double-folded "lattice animal" picture for rings in
the melt may be replaced by a more relaxed tree-like structure accommodating
loops. In particular, I show that one can identify hierarchically looped
structures whose degree increases linearly with the size of a ring, and that
terminal branches are found to store about 30% of the whole ring mass,
irrespectively of its length. Finally, I draw an analogy between rings in the
melt and slip-linked chains, where contact points are enforced by mobile
slip-links and for which a field-theoretic treatment can be employed to get
some insight into their typical conformations. These findings are ultimately
discussed in the light of recent works on the static structure of rings and on
the existence of inter-ring threadings.


title: Do Some AGN Lack X-ray Emission?

abstract:
  $Context:$ Intermediate-Mass Black Holes (IMBHs) are thought to be the seeds
of early Supermassive Black Holes (SMBHs). While $\gtrsim$100 IMBH and small
SMBH candidates have been identified in recent years, few have been robustly
confirmed to date, leaving their number density in considerable doubt. Placing
firmer constraints both on the methods used to identify and confirm
IMBHs/SMBHs, as well as characterizing the range of host environments that
IMBHs/SMBHs likely inhabit is therefore of considerable interest and
importance. Additionally, finding significant numbers of IMBHs in metal-poor
systems would be particularly intriguing, since such systems may represent
local analogs of primordial galaxies, and therefore could provide clues of
early accretion processes.
  $Aims:$ Here we study in detail several candidate Active Galactic Nuclei
(AGN) found in metal-poor hosts.
  $Methods:$ We utilize new X-ray and optical observations to characterize
these metal-poor AGN candidates and compare them against known AGN luminosity
relations and well-characterized IMBH/SMBH samples.
  $Results:$ Despite having clear broad optical emission lines that are
long-lived ($\gtrsim$10--13\,yr), these candidate AGN appear to lack associated
strong X-ray and hard UV emission, lying at least 1--2 dex off the known AGN
correlations. If they are IMBHs/SMBHs, our constraints imply that they either
are not actively accreting, their accretion disks are fully obscured along our
line-of-sight, or their accretion disks are not producing characteristic high
energy emission. Alternatively, if they are not AGN, then their luminous broad
emission lines imply production by extreme stellar processes. The latter would
have profound implications on the applicability of broad lines for mass
estimates of massive black holes.


title:
Galaxies with Supermassive Binary Black Holes: (III) The Roche Lobes and
  Jiang-Yeh Lobe in a Core System

abstract:
  Three-dimensional equi-potential surfaces of a galactic system with
supermassive binary black holes are discussed herein. The conditions of
topological transitions for the important surfaces, i.e. Roche Lobes and
Jiang-Yeh Lobe, are studied in this paper. In addition, the mathematical
properties of the Jacobi surfaces are investigated analytically. Finally, a
numerical procedure for determining the regions of the Roche Lobes and
Jiang-Yeh Lobe is suggested.


title: A differential operator for integrating one-loop scattering equations

abstract:
  We propose a differential operator for computing the residues associated with
a class of meromorphic $n$-forms that frequently appear in the Cachazo-He-Yuan
form of the scattering amplitudes. This differential operator is conjectured to
be uniquely determined by the local duality theorem and the intersection number
of the divisors in the $n$-form. We use the operator to evaluate the tree-level
amplitude of $\phi^3$ theory and the one-loop integrand of Yang-Mills theory
from their CHY forms. The method can reduce the complexity of the calculation.
In addition, the expression for the 1-loop four-point Yang-Mills integrand
obtained in our approach has a clear correspondence with the Q-cut results.


title:
Asymptotic homogenization of hygro-thermo-mechanical properties of
  fibrous networks

abstract:
  The hygro-thermo-expansive response of fibrous networks involves deformation
phenomena at multiple length scales. The moisture or temperature induced
expansion of individual fibres is transmitted in the network through the
inter-fibre bonds; particularly in the case of anisotropic fibres, this
substantially influences the resulting overall deformation. This paper presents
a methodology to predict the effective properties of bonded fibrous networks.
The distinctive features of the work are i) the focus on the
hygro-thermo-mechanical response, whereas in the literature generally only the
mechanical properties are addressed; ii) the adoption of asymptotic
homogenization to model fibrous networks. Asymptotic homogenization is an
efficient and versatile multi-scale technique that allows to obtain within a
rigorous setting the effective material response, even for complex
micro-structural geometries. The fibrous networks considered in this
investigation are generated by random deposition of the fibres within a planar
region according to an orientation probability density function. Most of the
available network descriptions model the fibres essentially as uni-axial
elements, thereby not explicitly considering the role of the bonds. In this
paper, the fibres are treated as two dimensional ribbon-like elements; this
allows to naturally include the contribution of the bonding regions to the
effective expansion. The efficacy of the proposed study is illustrated by
investigating the effective response for several network realizations,
incorporating the influence of different micro-scale parameters, such as fibre
hygro-thermo-elastic properties, orientation, geometry, areal coverage.


title:
Hygro-mechanical properties of paper fibrous networks through asymptotic
  homogenization and comparison with idealized models

abstract:
  This paper presents a multi-scale approach to predict the effective
hygro-mechanical behaviour of paper sheets based on the properties of the
underlying fibrous network. Despite the vast amount of literature on paper
hygro-expansion, the functional dependence of the effective material properties
on the micro-structural features remains yet unclear. In this work, a
micro-structural model of the paper fibrous network is first developed by
random deposition of the fibres within a planar region according to an
orientation probability density function. Asymptotic homogenization is used to
determine its effective properties numerically. Alternatively, two much more
idealized micro-structural models are considered, one based on a periodic
lattice structure with a regular network of perpendicular fibres and one based
on the Voigt average. Despite their simplicity, they reproduce representative
micro-structural features, such as the orientation anisotropy and network level
hygro-elastic properties. These alternative models can be solved analytically,
providing closed-form expressions that explicitly reveal the influence of the
individual micro-scale parameters on the effective hygro-mechanical response.
The trend predicted by the random network model is captured reasonably well by
the two idealized models. The resulting hygro-mechanical properties are finally
compared with experimental data reported in the literature, revealing an
adequate quantitative agreement.


title:
First principles modeling of defects in the Al_2O_3/In_0.53Ga_0.47As
  system

abstract:
  Density functional theory paired with a first order many-body perturbation
theory correction is applied to determine formation energies and charge
transition energies for point defects in bulk In_0.53Ga_0.47As and for models
of the In_0.53Ga_0.47As/Al_2O_3 interface. The results are consistent with
previous computational studies that As_Ga antisites are candidates for defects
observed in capacitance voltage measurements on metal-oxide-semiconductor
capacitors, as the As_Ga antisite introduces energy states near the valence
band maximum and near the middle of the energy band gap. However, substantial
broadening in the distribution of the Ga_As charge transition levels due to the
variation in the local chemical environment resulting from alloying on the
cation (In/Ga) sublattice is found, whereas this effect is absent for As_Ga
antisites. Also, charge transition energy levels are found to vary based on
proximity to the semiconductor/oxide interface. The combined effects of alloy-
and proximity-shift on the Ga_As antisite charge transition energies are
consistent with the distribution of interface defect levels between the valence
band edge and midgap as extracted from electrical characterization data. Hence,
kinetic growth conditions leading to a high density of either Ga_As or As_Ga
antisites near the In_0.53Ga_0.47As/Al_2O_3 interface are both consistent with
defect energy levels at or below midgap.


title: A modified fifth-order WENO scheme for hyperbolic conservation laws

abstract:
  This paper deals with a new fifth-order weighted essentially non-oscillatory
(WENO) scheme improving the WENO-NS and WENO-P methods which are introduced in
Ha et al. J. Comput. Phys. (2013) and Kim et al., J. Sci. Comput. (2016)
respectively. These two schemes provide the fifth-order accuracy at the
critical points where the first derivatives vanish but the second derivatives
are non-zero. In this paper, we have presented a scheme by defining a new
global-smoothness indicator which shows an improved behavior over the solution
to the WENO-NS and WENO-P schemes and the proposed scheme attains optimal
approximation order, even at the critical points where the first and second
derivatives vanish but the third derivatives are non-zero.


title:
Superconducting order parameter $\pi$-phase shift in magnetic impurity
  wires

abstract:
  It has previously been found that a magnetic impurity in a conventional
$s$-wave superconductor can give rise to a local $\pi$-phase shift of the
superconducting order parameter. By studying a finite wire of ferromagnetic
impurities, we are able to trace the origin of the $\pi$-phase shift to a
resonance condition for the Bogoliubov-de Gennes quasiparticle states. When
non-resonating states localized at the impurity sites are pulled into the
condensate for increasing magnetic strength, the superconducting order
parameter is reduced in discrete steps, eventually resulting in a $\pi$-phase
shift. We also show that for a finite spin-orbit coupling, the $\pi$-phase
shift is preserved and occurs in a large portion of the topologically
non-trivial phase.


title:
Integral structures on the finite part $H^1_f(K, V)$ of a crystalline
  representation

abstract:
  We study integral structures of crystalline representations over an
unramified extension $K / \mathbb{Q}_p$ with the help of an auxillary ring
$A_{\textrm{exp}}$. This ring has the nice property that it contains the the
fundamental period (and its inverse) of $p$-adic Hodge theory, up to powers of
$p$. We establish an exact sequence using $A_{\textrm{exp}}$ and Frobenii on
its filtration, give a link to Fontaine-Laffaille modules and the Bloch-Kato
fundamental exact sequence and finally compute the integral finite part of a
lattice of a crystalline representation, giving a connection to the local
$L$-function of $V$.


title: Modified Wenzel and Cassie equations for wetting on rough surfaces

abstract:
  We study a stationary wetting problem on rough and inhomogeneous solid
surfaces. We derive a new formula for the apparent contact angle by asymptotic
two-scale homogenization method. The formula reduces to a modified Wenzel
equation for geometrically rough surfaces and a modified Cassie equation for
chemically inhomogeneous surfaces. Unlike the classical Wenzel and Cassie
equations, the modified equations correspond to local minimizers of the total
interface energy in the solid-liquid-air system, so that they are consistent
with experimental observations. The homogenization results are proved
rigorously by a variational method.


title:
Proceedings of the 3rd OMNeT++ Community Summit, Brno University of
  Technology - Czech Republic, September 15-16, 2016

abstract:
  These are the Proceedings of the 3rd OMNeT++ Community Summit, which was held
at the University of Technology in Brno - Czech Republic - on September 15-16,
2016.


title:
Low-complexity Image and Video Coding Based on an Approximate Discrete
  Tchebichef Transform

abstract:
  The usage of linear transformations has great relevance for data
decorrelation applications, like image and video compression. In that sense,
the discrete Tchebichef transform (DTT) possesses useful coding and
decorrelation properties. The DTT transform kernel does not depend on the input
data and fast algorithms can be developed to real time applications. However,
the DTT fast algorithm presented in literature possess high computational
complexity. In this work, we introduce a new low-complexity approximation for
the DTT. The fast algorithm of the proposed transform is multiplication-free
and requires a reduced number of additions and bit-shifting operations. Image
and video compression simulations in popular standards shows good performance
of the proposed transform. Regarding hardware resource consumption for FPGA
shows 43.1% reduction of configurable logic blocks and ASIC place and route
realization shows 57.7% reduction in the area-time figure when compared with
the 2-D version of the exact DTT.


title: A note on the Gaussian curvature on noncompact surfaces

abstract:
  We give a short proof of the following fact. Let $\Sigma$ be a connected,
finitely connected, noncompact manifold without boundary. If $g$ is a complete
Riemannian metric on $\Sigma$ whose Gaussian curvature $K$ is nonnegative at
infinity, then $K$ must be integrable. In particular, we obtain a new short
proof of the fact that if $\Sigma$ admits a complete metric whose Gaussian
curvature is nonnegative and positive at one point, then $\Sigma$ is
diffeomorphic to $\mathbb{R}^2$.


title:
The $p\,$-approximation property for simple Lie groups with finite
  center

abstract:
  We prove that, for any $1<p<\infty$, the groups $\text{SL}(3,\mathbb{R})$ and
$\text{Sp}(2,\mathbb{R})$ do not have the $p\,$-approximation property of An,
Lee and Ruan, which implies in particular that they are not $p\,$-weakly
amenable. It follows that the same holds for any connected simple Lie group
with finite center and real rank greater than 1, as well as for any lattice in
it. This extends Haagerup and de Laat's result for the AP, which in this
language corresponds to the case $p=2$.


title:
Exact gravitational lensing in conformal gravity and Schwarzschild-de
  Sitter spacetime

abstract:
  An exact solution is obtained for the gravitational bending of light in
static, spherically symmetric metrics which includes the Schwarzschild-de
Sitter spacetime and also the Mannheim-Kazanas metric of conformal Weyl
gravity. From the exact solution, we obtain a small bending-angle-approximation
for a lens system where the source, lens and observer are co-aligned. This
expansion improves previous calculations where we systematically avoid
parameter ranges that correspond to non-existent null trajectories. The linear
coefficient $\gamma$ characteristic to conformal gravity is shown to contribute
enhanced deflection compared to the angle predicted by General Relativity for
small $\gamma$.


title: Graphene-based synthetic antiferromagnets and ferrimagnets

abstract:
  Hybrid Graphene/magnetic structures offer a unique playground for fundamental
research, and opportunities for emerging technologies. Graphene-spaced
ultrathin structures with antiferromagnetic exchange-coupling (AFC) seem a
relevant scenario, analogous to that of conventional metallic multilayer
devices. Unfortunately, the AFC found so far between bulk magnetic single
crystals and Graphene-spaced adatoms, clusters or molecules either requires low
temperatures, is too weak, or of complex nature, for realistic exploitation.
Here we show theoretically and experimentally that a strong perpendicular AFC
can be established in ultrahin-film structures such as Fe/Gr/Co on Ir(111),
first-time enabling Graphene-based synthetic antiferromagnet and ferrimagnet
materials with unprecedented magnetic properties and appearing suitable for
applications. Remarkably, the established AFC is robust on structure
thicknesses, thermally stable up to room temperature, very strong but
field-controllable, and occurs in perpendicular orientation with opposite high
remanent layer magnetizations. Our atomistic first-principle simulations
provide further ground for the feasibility of Graphene-mediated AFC ultra-thin
film structures, revealing that Graphene acts not only as mere spacer but has a
direct role in sustaining antiferromagnetic superexchange-coupling between the
magnetic layers. These results provide a path for the design of unique and
ultimately-thin synthetic antiferromagnetic structures, which seem exciting for
fundamental nanoscience studies or for potential use in Graphene-spintronics
applications.


title:
Amenable groups of finite cohomological dimension and the zero divisor
  conjecture

abstract:
  We prove that every amenable group of cohomological dimension two whose
integral group ring is a domain is solvable and investigate certain homological
finiteness properties of groups that satisfy the analytic zero divisor
conjecture and act on an acyclic CW-complex with amenable stabilisers.


title:
Estimating the covariance structure of heterogeneous SIS epidemics on
  networks

abstract:
  Heterogeneous Markovian Susceptible-Infected-Susceptible (SIS) epidemics with
a general infection rate matrix $\widetilde{A}$ are considered. Using a
non-negative matrix factorization to approximate $\widetilde{A}$, we are able
to identify when a metastable state can be expected, and that the metastable
distribution, under certain conditions, will feature a normal distribution with
known expectation and covariance. Furthermore, we model a heterogeneous
Markovian SIS epidemic, that starts with a fraction of initially infected nodes
different from that in the metastable state, by approximating its behaviour by
a standard linear stochastic differential equation (SDE) in sufficiently high
dimensions. By exploiting the knowledge of the covariance matrix from the SDE,
we demonstrate significant accuracy improvements over the first-order
mean-field approximation NIMFA.


title: Multivariate extensions of expectiles risk measures

abstract:
  This paper is devoted to the introduction and study of a new family of
multivariate elicitable risk measures. We call the obtained vector-valued
measures multivariate expectiles. We present the different approaches used to
construct our measures. We discuss the coherence properties of these
multivariate expectiles. Furthermore, we propose a stochastic approximation
tool of these risk measures.


title: Rhombic alternative tableaux and assembl\'ees of permutations

abstract:
  In this paper, we introduce the rhombic alternative tableaux, whose weight
generating functions provide combinatorial formulae to compute the steady state
probabilities of the two-species ASEP. In the ASEP, there are two species of
particles, one heavy and one light, hopping right and left on a one-dimensional
finite lattice with open boundaries. Parameters $\alpha$, $\beta$, and $q$
describe the hopping probabilities. The rhombic alternative tableaux are
enumerated by the Lah numbers, which also enumerate certain assembl\'ees of
permutations. We describe a bijection between the rhombic alternative tableaux
and these assembl\'ees. We also provide an insertion algorithm that gives a
weight generating function for the assembl\'ees. Combined, these results give a
bijective proof for the weight generating function for the rhombic alternative
tableaux, which is also the partition function of the two-species ASEP at
$q=1$.


title: On the Minimum Number of Monochromatic Generalized Schur Triples

abstract:
  The solution to the problem of finding the minimum number of monochromatic
triples $(x,y,x+ay)$ with $a\geq 2$ being a fixed positive integer over any
2-coloring of $[1,n]$ was conjectured by Butler, Costello, and Graham (2010)
and Thanathipanonda (2009). We solve this problem using a method based on
Datskovsky's proof (2003) on the minimum number of monochromatic Schur triples
$(x,y,x+y)$. We do this by exploiting the combinatorial nature of the original
proof and adapting it to the general problem.


title: Inelastic Kondo-Andreev tunnelings in a vibrating quantum dot

abstract:
  Phonon-assisted electronic tunnelings through a vibrating quantum dot
embedded between normal and superconducting leads are studied in the Kondo
regime. In such a hybrid device, with the bias applied to the normal lead, we
find a series of Kondo sidebands separated by half a phonon energy in the
differential conductance, which are distinct from the phonon-assisted sidebands
previously observed in the conventional Andreev tunnelings and in systems with
only normal leads. These Kondo sidebands originate from the Kondo-Andreev
cooperative cotunneling mediated by phonons, which exhibit a novel Kondo
transport behavior due to the interplay of the Kondo effect, the Andreev
tunnelings, and the mechanical vibrations. Our result could be observed in a
recent experiment setup [J. Gramich \emph{et al.}, PRL \textbf{115}, 216801
(2015)], provided that their carbon nanotube device reaches the Kondo regime at
low temperatures.


title:
Directly Detecting the Edge Current in a $p_x + ip_y$ Topological
  Superfluid

abstract:
  Topological superconductors are one of the most actively studied materials
these days. They are a promising candidate for hosting Majorana fermions either
on their boundaries or in vortex cores. Detecting 1D edge current around the
periphery of a 2D $p_x + ip_y$ superconductor would be a hallmark signature of
topological superconductivity, but Majorana fermions are not amenable to
electronic current measurements due to their charge neutral nature. Thermal
conductivity measurements, such as thermal Hall effect, are alternatively
proposed, but material synthesis must come first. Superfluid $^3$He-$A$, on the
other hand, is a known $p_x + ip_y$ superfluid whose edge current can be
measured with a gyroscopic technique. Here, we propose a microelectromechanical
system based gyroscope that will not only have enough signal sensitivity to
measure the edge current but also be used to observe dimensionality induced
phase transitions between different topological superfluids.


title:
From Digital computers to quantum computers based on biological
  paradigms and progress in particle physics

abstract:
  While several paths have emerged in microelectronics and computing as
follow-ons to Turing architectures, and have been implemented using essentially
silicon circuits, very little beyond Moore research has considered: (1) first
biological processes instead of sequential instructions, and, (2) the
implementation of these processes exploiting particle physics interactions.
This last combination enables native spatial-temporal integration and
correlation, but also powerful interference filtering, gating, splitting and
more. These biological functions, their realization by quantum and charge
carrier interactions, allow proposing a novel computing architecture, with
interfaces, information storage, and programmability. The paper presents the
underlying biological processes, the particle physics phenomena which are
exploited, and the proposed architecture, as well as an algebraic design
formalism.


title: Peer provided cell-like networks built out of thin air

abstract:
  The success of Wi-Fi technology as an efficient and low-cost last-mile access
solution has enabled massive spontaneous deployments generating storms of
beacons all across the globe. Emerging location systems are using these beacons
to observe mobility patterns of people through portable or wearable devices and
offers promising use-cases that can help to solve critical problems in the
developing world. In this paper, we design and develop a novel prototype to
organise these spontaneous deployments of Access Points into what we call
virtual cells (vcells). We compute virtual cells from a list of Access Points
collected from different active scans for a geographical region. We argue that
virtual cells can be encoded using Bloom filters to implement the location
process. Lastly, we present two illustrative use-cases to showcase the
suitability and challenges of the technique.


title:
Analysis of the embedded cell method for the numerical homogenization of
  metal-ceramic composite materials

abstract:
  In this paper, we analyze the embedding cell method, an algorithm which has
been developed for the numerical homogenization of metal-ceramic composite
materials. We show the convergence of the iteration scheme of this algorithm
and the coincidence of the material properties predicted by the limit with the
effective material properties provided by the analytical homogenization theory
in three situations, namely for a one dimensional linear elasticity model, a
simple one dimensional plasticity model and a two dimensional model of linear
hyperelastic isotropic materials with constant shear modulus and slightly
varying first Lam\'e parameter.


title: A Mitchell-like order for Ramsey and Ramsey-like cardinals

abstract:
  Smallish large cardinals $\kappa$ are often characterized by the existence of
a collection of filters on $\kappa$, each of which is an ultrafilter on the
subsets of $\kappa$ of some transitive $\mathrm{ZFC}^-$-model of size $
\kappa$. We introduce a Mitchell-like order for Ramsey and Ramsey-like
cardinals, ordering such collections of small filters. We show that the
Mitchell-like order and the resulting notion of rank have all the desirable
properties of the Mitchell order on normal measures on a measurable cardinal.
The Mitchell-like order behaves robustly with respect to forcing constructions.
We show that extensions with cover and approximation properties cannot increase
the rank of a Ramsey or Ramsey-like cardinal. We use the results about
extensions with cover and approximation properties together with recently
developed techniques about soft killing of large-cardinal degrees by forcing to
softly kill the ranks of Ramsey and Ramsey-like cardinals.


title:
Recovering the damping rates of cyclotron damped plasma waves from
  simulation data

abstract:
  Plasma waves with frequencies close to the particular gyrofrequencies of the
charged particles in the plasma lose energy due to cyclotron damping. We
briefly discuss the gyro-resonance of low frequency plasma waves and ions
particularly with regard to particle-in-cell (PiC) simulations. A setup is
outlined which uses artificially excited waves in the damped regime of the wave
mode's dispersion relation to track the damping of the wave's electromagnetic
fields. Extracting the damping rate directly from the field data in real or
Fourier space is an intricate and non-trivial task. We therefore present a
simple method of obtaining the damping rate {\Gamma} from the simulation data.
This method is described in detail, focusing on a step-by-step explanation of
the course of actions. In a first application to a test simulation we find that
the damping rates obtained from this simulation generally are in good agreement
with theoretical predictions. We then compare the results of one-, two- and
three-dimensional simulation setups and simulations with different physical
parameter sets.


title:
Production of heavy sterile neutrinos from vector boson decay at
  electroweak temperatures

abstract:
  In the standard model extended with a seesaw mass matrix, we study the
production of sterile neutrinos from the decay of vector bosons at $T\simeq
M_{W,Z}$. We derive a general quantum kinetic equation for the production of
sterile neutrinos and their effective mixing angles valid in a wide range of
temperature, to all orders in interactions of the standard model, and to
leading order mixing angle $\theta \ll 1$.
  Production rates and effective mixing angles depend sensitively on helicity.
Positive helicity states interact more weakly with the medium and their
effective mixing angle is not modified significantly whereas the mixing angle
for negative helicity is strongly suppressed by the medium.
  If $M_s \lesssim 8.35\,\mathrm{MeV}$, there are fewer states with negative
helicity produced than those with positive helicity. There is an MSW resonance
in the absence of lepton asymmetry, but is screened by the damping rate,
without production enhancement. Negative helicity states freeze-out at
$T^-_f\simeq 5\,\mathrm{GeV}$ and positive helicity states freeze-out at $T^+_f
\simeq 8\,\mathrm{GeV}$, both distributions are far from thermal. Negative
helicity states feature a broader momentum distribution than that for those
with positive helicity. Sterile neutrinos produced via vector boson decay do
not satisfy the abundance, lifetime and cosmological constraints to be the sole
dark matter component in the universe but might solve the $^{7}Li$ problem,
albeit at the very edge of the possible parameter space. A heavy sterile
neutrino with a mass of a few MeV could decay into light sterile neutrinos, of
a few keV in mass, that contribute to warm dark matter. We argue that heavy
sterile neutrinos with lifetime $\leq 1/H_0$ reach local thermodynamic
equilibrium.


title: Spin-orbit coupling and magnetic interactions in Si(111):{C,Si,Sn,Pb}

abstract:
  We study the magnetic properties of the adatom systems on a semiconductor
surface Si(111):\{C,Si,Sn,Pb\} - ($\sqrt{3} \times \sqrt{3}$). On the basis of
all-electron density functional theory calculations we construct effective
low-energy models taking into account spin-orbit coupling and electronic
correlations. In the ground state the surface nanostructures are found to be
insulators with the non-collinear 120$^{\circ}$ N\'eel (for C, Si, Sn monolayer
coverages) and 120$^{\circ}$ row-wise (for Pb adatom) antiferromagnetic
orderings. The corresponding spin Hamiltonians with anisotropic exchange
interactions are derived by means of the superexchange theory and the
calculated Dzyaloshinskii-Moriya interactions are revealed to be very strong
and compatible with the isotropic exchange couplings in the systems with Sn and
Pb adatoms. To simulate the excited magnetic states we solve the constructed
spin models by means of the Monte Carlo method. At low temperatures and zero
magnetic field we observe complex spin spiral patterns in Sn/Si(111) and
Pb/Si(111). On this basis the formation of antiferromagnetic skyrmion lattice
states in adatom $sp$ electron systems in strong magnetic fields is discussed.


title:
Classification of asexual diploid organisms by means of strongly
  isotopic evolution algebras defined over any field

abstract:
  Evolution algebras were introduced into Genetics to deal with the mechanism
of inheritance of asexual organisms. Their distribution into isotopism classes
is uniquely related with the mutation of alleles in non-Mendelian Genetics.
This paper deals with such a distribution by means of Computational Algebraic
Geometry. We focus in particular on the two-dimensional case, which is related
to the asexual reproduction processes of diploid organisms. Specifically, we
determine the existence of four isotopism classes, whatever the base field is,
and we characterize the corresponding isomorphism classes.


title: Popularity in the generalized Hospital Residents Setting

abstract:
  We consider the problem of computing popular matchings in a bipartite graph G
= (R U H, E) where R and H denote a set of residents and a set of hospitals
respectively. Each hospital h has a positive capacity denoting the number of
residents that can be matched to h. The residents and the hospitals specify
strict preferences over each other. This is the well-studied Hospital Residents
(HR) problem which is a generalization of the Stable Marriage (SM) problem. The
goal is to assign residents to hospitals optimally while respecting the
capacities of the hospitals. Stability is a well-accepted notion of optimality
in such problems. However, motivated by the need for larger cardinality
matchings, alternative notions of optimality like popularity have been
investigated in the SM setting. In this paper, we consider a generalized HR
setting -- namely the Laminar Classified Stable Matchings (LCSM+) problem.
Here, additionally, hospitals can specify classifications over residents in
their preference lists and classes have upper quotas. We show the following new
results: We define a notion of popularity and give a structural
characterization of popular matchings for the LCSM+ problem. Assume n = |R| +
|H| and m = |E|. We give an O(mn) time algorithm for computing a maximum
cardinality popular matching in an LCSM+ instance. We give an O(mn^2) time
algorithm for computing a matching that is popular amongst the maximum
cardinality matchings in an LCSM+ instance.


title: Spectrum of the semi-relativistic Pauli-Fierz model II

abstract:
  We consider the semi-relativistic Pauli-Fierz Hamiltonian $$ H_m = |{\bf
p}-{\bf A}({\bf x})| + H_{f,m} + V({\bf x}),\quad m\geq0, $$ and prove the
existence of the ground state of $H_m$ for $m=0$. Here ${\bf A}({\bf x})$
denotes a quantized radiation field and $H_{f,m}$ the free field Hamiltonian
with the dispersion relation $\sqrt{|{\bf k}|^2+m^2}$ with $m\geq0$. This paper
is the sequel of [HH16], where the existence of the ground state $\Phi_m$ of
$H_m$ for $m>0$ is proven. In order to show the existence of the ground state
for $m=0$ we estimate a singular and non-local pull-through formula and show
the equicontinuity of set $\{a(k)\Phi_m\}_{0<m<m_0}$ with some $m_0$, where
$a(k)$ denotes the formal kernel of the annihilation operator. Taking a
subsequence $m_j$, we can conclude that $\lim_{m_j\to0}\Phi_{m_j}=\Phi_0\not=0$
and $\Phi_0$ is the ground state of $H_0$.


title:
Conservation laws and symmetries of radial generalized nonlinear
  $p$-Laplacian evolution equations

abstract:
  A class of generalized nonlinear p-Laplacian evolution equations is studied.
These equations model radial diffusion-reaction processes in $n\geq 1$
dimensions, where the diffusivity depends on the gradient of the flow. For this
class, all local conservation laws of low-order and all Lie symmetries are
derived. The physical meaning of the conservation laws is discussed, and one of
the conservation laws is used to show that the nonlinear equation can be mapped
invertibly into a linear equation by a hodograph transformation in certain
cases. The symmetries are used to derive exact group-invariant solutions from
solvable three-dimensional subgroups of the full symmetry group, which yields a
direct reduction of the nonlinear equation to a quadrature. The physical and
analytical properties of these exact solutions are explored, some of which
describe moving interfaces and Green's functions.


title: Exceptional points in anisotropic planar microcavities

abstract:
  Planar microcavities allow the control and manipulation of spin-polarization,
manifested in phenomena like the optical spin Hall effect due to the intrinsic
polarization mode splitting. Here, we study a transparent microcavity with
broken rotational symmetry, realized by aligning the optical axis of a uniaxial
cavity material in the cavity plane. We demonstrate that the in-plane optical
anisotropy gives rise to exceptional points in the dispersion relation, which
occur pair-wise, are circularly polarized, and are cores of polarization
vortices. These exceptional points are a result of the non-Hermitian character
of the system, and are in close relationship to singular optical axes in
absorptive biaxial systems.


title: Stability and Optimal Control of a Delayed HIV Model

abstract:
  We propose and investigate a delayed model that studies the relationship
between HIV and the immune system during the natural course of infection and in
the context of antiviral treatment regimes. Sufficient criteria for local
asymptotic stability of the infected and viral free equilibria are given. An
optimal control problem with time delays both in state variables (incubation
delay) and control (pharmacological delay) is then formulated and analyzed,
where the objective consists to find the optimal treatment strategy that
maximizes the number of uninfected $CD4^{+}$ T cells as well as CTL immune
response cells, keeping the drug therapy as low as possible.


title:
Frequency-comb based collinear laser spectroscopy of Be for nuclear
  structure investigations and many-body QED tests

abstract:
  Absolute transition frequencies of the $2s\,^2{\rm{S}}_{1/2}$ $\rightarrow$
$2p\,^2{\rm{P}}_{1/2,3/2}$ transitions in Be$^+$ were measured with a frequency
comb in stable and short-lived isotopes at ISOLDE (CERN) using collinear laser
spectroscopy. Quasi-simultaneous measurements in copropagating and
counterpropagating geometry were performed to become independent from
acceleration voltage determinations for Doppler-shift corrections of the fast
ion beam. Isotope shifts and fine structure splittings were obtained from the
absolute transition frequencies with accuracies better than 1\,MHz and led to a
precise determination of the nuclear charge radii of $^{7,10-12}$Be relative to
the stable isotope $^9$Be. Moreover, an accurate determination of the $2p$ fine
structure splitting allowed a test of high-precision bound-state QED
calculations in the three-electron system. Here, we describe the laser
spectroscopic method in detail, including several tests that were carried out
to determine or estimate systematic uncertainties. Final values from two
experimental runs at ISOLDE are presented and the results are discussed.


title:
Associative Memory Impairments arising from Neurodegenerative Diseases
  and Traumatic Brain Injuries in a Hopfield Network Model

abstract:
  Neurodegenerative diseases and traumatic brain injuries (TBI) are among the
main causes of cognitive dysfunction in humans. Both manifestations exhibit the
extensive presence of focal axonal swellings (FAS). FAS compromises the
information encoded in spike trains, thus leading to potentially severe
functional deficits. Complicating our understanding of the impact of FAS is our
inability to access small scale injuries with non-invasive methods, the overall
complexity of neuronal pathologies, and our limited knowledge of how networks
process biological signals. Building on Hopfield's pioneering work, we extend a
model for associative memory to account for FAS and its impact on memory
encoding. We calibrate all FAS parameters from biophysical observations of
their statistical distribution and size, providing a framework to simulate the
effects of brain disorders on memory recall performance. A face recognition
example is used to demonstrate and validate the functionality of the novel
model. Our results link memory recall ability to observed FAS statistics,
allowing for a description of different stages of brain disorders within
neuronal networks. This provides a first theoretical model to bridge
experimental observations of FAS in neurodegeneration and TBI with compromised
memory recall, thus closing the large gap between theory and experiment on how
biological signals are processed in damaged, high-dimensional functional
networks. The work further lends new insight into positing diagnostic tools to
measure cognitive deficits.


title: On the parton picture of Froissart asymptotic behavior

abstract:
  The Froissart (\F) asymptotic behavior of high energy cross-sections, if
considered in a parton picture, is usually represented as a kind of behavior
that occurs in the process of a collision of two almost black disks, filled
with partons, when radiuses of these \F - disks grow proportional to log's of
there energies. In this article we briefly summarize the main asymptotic
properties of \F - disks that one can expect in QCD. ~~Then we consider if it
is possible to guarantee the boost-invariance of transparency $T(s,b) = 1 -
\sigma_{in}(s,b)$, where $\sigma_{in}(s,b)$ is the total inelastic
cross-section at a definite impact parameter $b$, in process of collision of
two such \F-disks. Such a question arise because the mean transverse area of
the overlapping of colliding \F- disks, at the same impact parameter b and
total energy $\sqrt{s}$~,~ is varying with the Lorentz frame. ~~We show that
the value of $T(s,b)$ is not boost-invariant at some $b$ close to the \F- disk
border for the \F- disks usually expected in QCD.
  As result the \F type behavior seems contradictory, or the multiparton system
in the high energy Fock wave function must be arranged in rather unusual way.


title:
Inclusive search for supersymmetry using razor variables in pp
  collisions at sqrt(s) = 13 TeV

abstract:
  An inclusive search for supersymmetry using razor variables is performed in
events with four or more jets and no more than one lepton. The results are
based on a sample of proton-proton collisions corresponding to an integrated
luminosity of 2.3 inverse femtobarns collected with the CMS experiment at a
center-of-mass energy of sqrt(s) = 13 TeV. No significant excess over the
background prediction is observed in data, and 95% confidence level exclusion
limits are placed on the masses of new heavy particles in a variety of
simplified models. Assuming that pair-produced gluinos decay only via
three-body processes involving third-generation quarks plus a neutralino, and
that the neutralino is the lightest supersymmetric particle with a mass of 200
GeV, gluino masses below 1.6 TeV are excluded for any branching fractions for
the individual gluino decay modes. For some specific decay mode scenarios,
gluino masses up to 1.65 TeV are excluded. For decays to first- and
second-generation quarks and a neutralino with a mass of 200 GeV, gluinos with
masses up to 1.4 TeV are excluded. Pair production of top squarks decaying to a
top quark and a neutralino with a mass of 100 GeV is excluded for top squark
masses up to 750 GeV.


title: Multiply-warped product metrics and reduction of Einstein equations

abstract:
  It is shown that for every multidimensional metric in the multiply warped
product form $\bar{M} = K\times_{f_1} M_1\times_{f_2}M_2$ with warp functions
$f_1$, $f_2$, associated to the submanifolds $M_1$, $M_2$ of dimensions $n_1$,
$n_2$ respectively, one can find the corresponding Einstein equations
$\bar{G}_{AB}=-\bar{\Lambda}\bar{g}_{AB}$, with cosmological constant
$\bar{\Lambda}$, which are reducible to the Einstein equations $G_{\alpha\beta}
= -\Lambda_1 g_{\alpha\beta}$ and $G_{ij} =-\Lambda_2 h_{ij}$ on the
submanifolds $M_1$, $M_2$, with cosmological constants ${\Lambda_1}$ and
${\Lambda_2}$, respectively, where $\bar{\Lambda}$, ${\Lambda_1}$ and
${\Lambda_2}$ are functions of ${f_1}$, ${f_2}$ and $n_1$, $n_2$.


title:
Study of coupled-cluster correlations on electromagnetic transitions and
  hyperfine structure constants of W VI

abstract:
  This work presents precise calculations of important electromagnetic
transition amplitudes along with detail of their many-body correlations using
relativistic coupled cluster method. Studies of hyperfine interaction
constants, useful for plasma diagnostic, with this correlation exhaustive
many-body approach are another important area of this work. The calculated
oscillator strengths of allowed transitions, amplitudes of forbidden
transitions and lifetimes are compared with the other theoretical results
wherever available and they show a good agreement. Hyperfine constants of
different isotopes of W VI, presented in this paper will be helpful to get
accurate picture of abundances of this element in different astronomical
bodies.


title:
Effects of Majorana Physics on the UHE $\nu_{\tau}$ Flux Traversing the
  Earth

abstract:
  We study the effects produced by sterile Majorana neutrinos on the
$\nu_{\tau}$ flux traversing the Earth, considering the interaction between the
Majorana neutrinos and the standard matter as modeled by an effective theory.
The surviving tau-neutrino flux is calculated using transport equations
including Majorana neutrino production and decay. We compare our results with
the pure Standard Model interactions, computing the surviving flux for
different values of the effective lagrangian couplings, considering the
detected flux by IceCube for an operation time of ten years, and Majorana
neutrinos with mass $m_N \thicksim m_{\tau}$.


title:
Detecting Performance Degradation of Software-Intensive Systems in the
  Presence of Trends and Long-Range Dependence

abstract:
  As contemporary software-intensive systems reach increasingly large scale, it
is imperative that failure detection schemes be developed to help prevent
costly system downtimes. A promising direction towards the construction of such
schemes is the exploitation of easily available measurements of system
performance characteristics such as average number of processed requests and
queue size per unit of time. In this work, we investigate a holistic
methodology for detection of abrupt changes in time series data in the presence
of quasi-seasonal trends and long-range dependence with a focus on failure
detection in computer systems. We propose a trend estimation method enjoying
optimality properties in the presence of long-range dependent noise to estimate
what is considered "normal" system behaviour. To detect change-points and
anomalies, we develop an approach based on the ensembles of "weak" detectors.
We demonstrate the performance of the proposed change-point detection scheme
using an artificial dataset, the publicly available Abilene dataset as well as
the proprietary geoinformation system dataset.


title: Non L-space integral homology 3-spheres with no nice orderings

abstract:
  This paper gives infinitely many examples of non L-space irreducible integer
homology 3-spheres whose fundamental groups do not have nontrivial
$\widetilde{PSL_2(\mathbb{R})}$ representations.


title: Max-Norm Optimization for Robust Matrix Recovery

abstract:
  This paper studies the matrix completion problem under arbitrary sampling
schemes. We propose a new estimator incorporating both max-norm and
nuclear-norm regularization, based on which we can conduct efficient low-rank
matrix recovery using a random subset of entries observed with additive noise
under general non-uniform and unknown sampling distributions. This method
significantly relaxes the uniform sampling assumption imposed for the widely
used nuclear-norm penalized approach, and makes low-rank matrix recovery
feasible in more practical settings. Theoretically, we prove that the proposed
estimator achieves fast rates of convergence under different settings.
Computationally, we propose an alternating direction method of multipliers
algorithm to efficiently compute the estimator, which bridges a gap between
theory and practice of machine learning methods with max-norm regularization.
Further, we provide thorough numerical studies to evaluate the proposed method
using both simulated and real datasets.


title:
Periodic Driving at High Frequencies of an Impurity in the Isotropic XY
  Chain

abstract:
  We study the isotropic XY chain with a transverse magnetic field acting on a
single site and analyse the long time behaviour of the time-dependent state of
the system when a periodic perturbation drives the impurity. We find that for
high frequencies the state approaches a periodic orbit synchronised with the
forcing and provide the explicit rate of convergence to the asymptotics.


title: Well-Rounded Lattices for Coset Coding in MIMO Wiretap Channels

abstract:
  The concept of well-rounded lattices has recently found important
applications in the setting of a fading single-input single-output (SISO)
wiretap channel. It has been shown that, under this setup, the property of
being well-rounded is critical for minimizing the eavesdropper's probability of
correct decoding in lower SNR regimes. The superior performance of coset codes
constructed from well-rounded lattices has been illustrated in several
simulations.
  In the present article, this work is extended to fading multiple-input
multiple-output (MIMO) wiretap channels, and similar design criteria as in the
SISO case are derived. Further, explicit coset codes for Rayleigh fading MIMO
wiretap channels are designed. In particular, it is shown through extensive
simulations that sublattices of the well-known Alamouti code and Golden code
which meet our design criteria perform better than scalar multiples of the code
lattice for the same parameters.


title:
A probabilistic heuristic for counting components of functional graphs
  of polynomials over finite fields

abstract:
  In 2014, Flynn and the second author bounded the average number of components
of the functional graphs of polynomials of fixed degree over a finite field.
When the fixed degree was large (relative to the size of the finite field),
their lower bound matched Kruskal's asymptotic for random functional graphs.
However, when the fixed degree was small, they were unable to match Krusal's
bound, since they could not (Lagrange) interpolate cycles in functional graphs
of length greater than the fixed degree. In our work, we introduce a heuristic
for approximating the average number of such cycles of any length. This
heuristic is, roughly, that for sets of edges in a functional graph, the
quality of being a cycle and the quality of being interpolable are
"uncorrelated enough". We prove that this heuristic implies that the average
number of components of the functional graphs of polynomials of fixed degree
over a finite field is within a bounded constant of Kruskal's bound. We also
analyze some numerical data comparing implications of this heuristic to some
component counts of functional graphs of polynomials over finite fields.


title:
MOLS 2.0: Software Package for Peptide Modelling and Protein-Ligand
  Docking

abstract:
  Here we give a detailed description of MOLS 2.0.The source code and binary of
MOLS 2.0 are distributed free (under GNU Lesser General Public License) for the
scientific community. They are freely available for download at
https://sourceforge.net/projects/mols2-0/files/.


title: Inner product formula for Yoshida lifts

abstract:
  We prove an explicit inner product formula for vector-valued Yoshida lifts.
As a consequence, we obtain the non-vanishing of Yoshida lifts.


title: Variants of the Erdos-Szekeres and Erdos-Hajnal Ramsey problems

abstract:
  Given integers $\ell,n$, the $\ell$th power of the path $P_n$ is the ordered
graph $P_n^{\ell}$ with vertex set $v_1<v_2<\cdots < v_n$, and all edges of the
form $v_iv_j$ where $|i-j|\le \ell$. The ramsey number $r(P_n^{\ell},
P_n^{\ell})$ is the minimum $N$ such that every 2-coloring of ${[N] \choose 2}$
results in a monochromatic copy of $P_n^{\ell}$. It is well-known that
$r(P_n^1, P_n^1)=(n-1)^2+1$. For $\ell>1$, Balko-Cibulka-Kr\'al-Kyn\v{c}l
proved that $r(P_n^{\ell}, P_n^{\ell})< c_{\ell}n^{128 \ell}$ and asked for the
growth rate for fixed $\ell$. When $\ell=2$, we improve this upper bound by
proving $r(P_n^{2}, P_n^{2})< cn^{19.5}$. Using this result, we determine the
correct tower growth rate of the $k$-uniform hypergraph ramsey number of a
$(k+1)$-clique versus an ordered tight path. Finally, we consider an ordered
version of the classical Erd Hos-Hajnal hypergraph ramsey problem, improve the
tower height given by the trivial upper bound, and conjecture that this tower
height is optimal.


title: Controlling a quantum gas of polar molecules in an optical lattice

abstract:
  The production of molecules from dual species atomic quantum gases has
enabled experiments that employ molecules at nanoKelvin temperatures. As a
result, every degree of freedom of these molecules is in a well-defined quantum
state and exquisitely controlled. These ultracold molecules open a new world of
precision quantum chemistry in which quantum statistics, quantum partial waves,
and even many-body correlations can play important roles. Moreover, to
investigate the strongly correlated physics of many interacting molecular
dipoles, we can mitigate lossy chemical reactions by controlling the
dimensionality of the system using optical lattices formed by interfering laser
fields. In a full three-dimensional optical lattice, chemistry can be turned on
or off by tuning the lattice depth, which allows us to configure an array of
long-range interacting quantum systems with rich internal structure. Such a
system represents an excellent platform for gaining fundamental insights to
complex materials based on quantum simulations and also for quantum information
processing in the future.


title:
Information-Theoretic Methods for Planning and Learning in Partially
  Observable Markov Decision Processes

abstract:
  Bounded agents are limited by intrinsic constraints on their ability to
process information that is available in their sensors and memory and choose
actions and memory updates. In this dissertation, we model these constraints as
information-rate constraints on communication channels connecting these various
internal components of the agent. We make four major contributions detailed
below and many smaller contributions detailed in each section. First, we
formulate the problem of optimizing the agent under both extrinsic and
intrinsic constraints and develop the main tools for solving it. Second, we
identify another reason for the challenging convergence properties of the
optimization algorithm, which is the bifurcation structure of the update
operator near phase transitions. Third, we study the special case of
linear-Gaussian dynamics and quadratic cost (LQG), where the optimal solution
has a particularly simple and solvable form. Fourth, we explore the learning
task, where the model of the world dynamics is unknown and sample-based updates
are used instead.


title: The Euclidean geometry of cardinal welfare functions

abstract:
  We exploit the standard inner product of Euclidean space to provide a new
direction from which one can understand and analyze certain voting methods.
Using this perspective along with the action of the symmetric and special
orthogonal groups on the vector space of profiles, we extend some natural
voting criteria to ballots of arbitrary composition type.


title:
Kohn-Sham potential for a strongly correlated finite system with
  fractional occupancy

abstract:
  Using a simplified one-dimensional model of a diatomic molecule, the
associated interacting density and corresponding Kohn-Sham potential have been
obtained analytically for all fractional molecule occupancies $N$ between 0 and
2. For the homonuclear case, and in the dissociation limit, the exact Kohn-Sham
potential builds a barrier at the midpoint between the two atoms, whose
strength increases linearly with $N$, with $1 < N \leq 2$. In the heteronuclear
case, the disociating KS potential besides the barrier also exhibits a plateau
around the atom with the higher ionization potential, whose size (but not its
strength) depends on $N$. An anomalous zero-order scaling of the Kohn-Sham
potential with regards to the strength of the electron-electron repulsion is
clearly displayed by our model; without this property both the unusual barrier
and plateau features will be absent.


title: Morse-Novikov cohomology of locally conformally K\"ahler surfaces

abstract:
  We review the properties of the Morse-Novikov cohomology and compute it for
all known compact complex surfaces with locally conformally K\"ahler metrics.
We present explicit computations for the Inoue surfaces $\mathcal{S}^0$,
$\mathcal{S}^+$, $\mathcal{S}^-$ and classify the locally conformally K\"ahler
(and the tamed locally conformally symplectic) forms on $\mathcal{S}^0$. We
prove the nonexistence of LCK metrics with potential and more generally, of
$d_\theta$-exact LCK metrics on Inoue surfaces and Oeljeklaus-Toma manifolds.


title: A Practical Algorithm for Packing Tubes and Boxes

abstract:
  In this paper we describe a method for packing tubes and boxes in containers.
Each container is divided into parts (holders) which are allocated to subsets
of objects. The method consists of a recursive procedure which, based on a
predefined order for dealing with tubes and boxes, determines the dimensions
and position of each holder. Characteristics of the objects to pack and rules
limiting their placement make this problem unique. The method devised provides
timely and practical solutions.


title: Generalizations of self-reciprocal polynomials

abstract:
  A formula for the number of monic irreducible self-reciprocal polynomials, of
a given degree over a finite field, was given by Carlitz in 1967. In 2011
Ahmadi showed that Carlitz's formula extends, essentially without change, to a
count of irreducible polynomials arising through an arbitrary quadratic
transformation. In the present paper we provide an explanation for this
extension, and a simpler proof of Ahmadi's result, by a reduction to the known
special case of self-reciprocal polynomials and a minor variation. We also
prove further results on polynomials arising through a quadratic
transformation, and through some special transformations of higher degree.


title:
A real-time extension of density matrix embedding theory for
  non-equilibrium electron dynamics

abstract:
  We introduce real-time density matrix embedding theory (DMET), a dynamical
quantum embedding theory for computing non-equilibrium electron dynamics in
strongly correlated systems. As in the previously developed static DMET,
real-time DMET partitions the system into an impurity corresponding to the
region of interest coupled to the surrounding environment, which is efficiently
represented by a quantum bath of the same size as the impurity. In this work,
we focus on a single-impurity time-dependent theory as a first step towards a
full multi-impurity theory. The equations of motion of the coupled impurity and
bath embedding problem in real-time DMET are then derived using the
time-dependent variational principle. The accuracy of real-time DMET is
compared to that of time-dependent complete active space self-consistent field
(TD-CASSCF) theory and time-dependent Hartree-Fock (TDHF) theory for a variety
of quantum quenches in the single impurity Anderson model (SIAM), in which the
Hamiltonian is suddenly changed (quenched) to induce a non-equilibrium state.
Real-time DMET shows a marked improvement over the meanfield TDHF, converging
to the exact answer even in the non-trivial Kondo regime of the SIAM. However,
as in static DMET, the increased dynamic flexibility of TD-CASSCF in comparison
to real-time DMET using a single impurity leads to faster convergence with
respect to active space size. Our results demonstrate that real-time DMET is an
efficient method well suited for the simulation of non-equilibrium electron
dynamics in which strong electron correlation plays an important role.


title: Complex Random Matrices have no Real Eigenvalues

abstract:
  Let $\zeta = \xi + i\xi'$ where $\xi, \xi'$ are iid copies of a mean zero,
variance one, subgaussian random variable. Let $N_n$ be a $n \times n$ random
matrix with entries that are iid copies of $\zeta$. We prove that there exists
a $c \in (0,1)$ such that the probability that $N_n$ has any real eigenvalues
is less than $c^n$ where $c$ only depends on the subgaussian moment of $\xi$.
The bound is optimal up to the value of the constant $c$. The principal
component of the proof is an optimal tail bound on the least singular value of
matrices of the form $M_n := M + N_n$ where $M$ is a deterministic complex
matrix with the condition that $\|M\| \leq K n^{1/2}$ for some constant $K$
depending on the subgaussian moment of $\xi$. For this class of random
variables, this result improves on the results of Pan-Zhou and
Rudelson-Vershynin. In the proof of the tail bound, we develop an optimal
small-ball probability bound for complex random variables that generalizes the
Littlewood-Offord theory developed by Tao-Vu and Rudelson-Vershynin.


title:
Existence of Hierarchies and Human's Pursuit of Top Hierarchy Lead to
  Power Law

abstract:
  The power law is ubiquitous in natural and social phenomena, and is
considered as a universal relationship between the frequency and its rank for
diverse social systems. However, a general model is still lacking to interpret
why these seemingly unrelated systems share great similarity. Through a
detailed analysis of natural language texts and simulation experiments based on
the proposed 'Hierarchical Selection Model', we found that the existence of
hierarchies and human's pursuit of top hierarchy lead to the power law.
Further, the power law is a statistical and emergent performance of
hierarchies, and it is the universality of hierarchies that contributes to the
ubiquity of the power law.


title: The distribution of information content in English sentences

abstract:
  Sentence is a basic linguistic unit, however, little is known about how
information content is distributed across different positions of a sentence.
Based on authentic language data of English, the present study calculated the
entropy and other entropy-related statistics for different sentence positions.
The statistics indicate a three-step staircase-shaped distribution pattern,
with entropy in the initial position lower than the medial positions (positions
other than the initial and final), the medial positions lower than the final
position and the medial positions showing no significant difference. The
results suggest that: (1) the hypotheses of Constant Entropy Rate and Uniform
Information Density do not hold for the sentence-medial positions; (2) the
context of a word in a sentence should not be simply defined as all the words
preceding it in the same sentence; and (3) the contextual information content
in a sentence does not accumulate incrementally but follows a pattern of "the
whole is greater than the sum of parts".


title: What can be observed in real time PCR and when does it show?

abstract:
  Real time, or quantitative, PCR typically starts from a very low
concentration of initial DNA strands. During iterations the numbers increase,
first essentially by doubling, later predominantly in a linear way. Observation
of the number of DNA molecules in the experiment becomes possible only when it
is substantially larger than initial numbers, and then possibly affected by the
randomness in individual replication. Can the initial copy number still be
determined?
  This is a classical problem and, indeed, a concrete special case of the
general problem of determining the number of ancestors, mutants or invaders, of
a population observed only later. We approach it through a generalised version
of the branching process model introduced by Jagers and Klebaner, 2003 and
based on Michaelis-Menten type enzyme kinetical considerations from Schnell and
Mendoza, 1997. A crucial role is played by the Michaelis-Menten constant being
large, as compared to initial copy numbers. In a strange way, determination of
the initial number turns out to be completely possible if the initial rate $v$
is one, i.e all DNA strands replicate, but only partly so when $v<1$, and thus
the initial rate or probability of successful replication is lower than one.
Then, the starting molecule number becomes hidden behind a "veil of
uncertainty". This is a special case, of a hitherto unobserved general
phenomenon in population growth processes, which will be addressed elsewhere.


title: MagAO: Status and Science

abstract:
  "MagAO" is the adaptive optics instrument at the Magellan Clay telescope at
Las Campanas Observatory, Chile. MagAO has a 585-actuator adaptive secondary
mirror and 1000-Hz pyramid wavefront sensor, operating on natural guide stars
from $R$-magnitudes of -1 to 15. MagAO has been in on-sky operation for 166
nights since installation in 2012. MagAO's unique capabilities are simultaneous
imaging in the visible and infrared with VisAO and Clio, excellent performance
at an excellent site, and a lean operations model. Science results from MagAO
include the first ground-based CCD image of an exoplanet, demonstration of the
first accreting protoplanets, discovery of a new wide-orbit exoplanet, and the
first empirical bolometric luminosity of an exoplanet. We describe the status,
report the AO performance, and summarize the science results. New developments
reported here include color corrections on red guide stars for the wavefront
sensor, a new field stop stage to facilitate VisAO imaging of extended sources;
and eyepiece observing at the visible-light diffraction limit of a 6.5-m
telescope. We also discuss a recent hose failure that led to a glycol coolant
leak, and the recovery of the adaptive secondary mirror (ASM) after this recent
(Feb.\ 2016) incident.


title:
Axiomatization and complexity of modal logic with knowing-what operator
  on model class K

abstract:
  Standard epistemic logic studies propositional knowledge, yet many other
types of knowledge such as "knowing whether", "knowing what", "knowing how" are
frequently and widely used in everyday life as well as academic fields. In
"Conditionally Knowing What" by Wang and Fan, an axiomatization of the
epistemic logic with both regular "knowing that" operator and "conditionally
knowing what" operator is given. Then the decidability and complexity of this
logic command our study. In this paper, we direct our attention to the
arbitrary models instead of epistemic models, thus making things clearer, and
then give a axiomatization and a tableau for the modal logic with same
operators on arbitrary Kripke models. Given the tableau of this logic, the
complexity of the satisfiability problem of this logic is PSPACE-complete.