title:
Constraints on Bounded Motion and Mutual Escape for the Full 3-Body
  Problem

abstract:
  When gravitational aggregates are spun to fission they can undergo complex
dynamical evolution, including escape and reconfiguration. Previous work has
shown that a simple analysis of the full 2-body problem provides physically
relevant insights for whether a fissioned system can lead to escape of the
components and the creation of asteroid pairs. In this paper we extend the
analysis to the full 3-body problem, utilizing recent advances in the
understanding of fission mechanics of these systems. Specifically, we find that
the full 3-body problem can eject a body with as much as 0.31 of the total
system mass, significantly larger than the 0.17 mass limit previously
calculated for the full 2-body problem. This paper derives rigorous limits on a
fissioned 3-body system with regards to whether fissioned system components can
physically escape from each other and what other stable relative equilibria
they could settle in. We explore this question with a narrow focus on the
Spherical Full Three Body Problem studied in detail earlier.


title:
Measuring magnetic field inside a microwave cavity via Rabi resonances
  in Cs atoms

abstract:
  We present a technique for measuring microwave (MW) field based on Rabi
resonances induced by the interaction of atoms with a phase-modulated MW field.
A theoretical model of field measurement is used to calculate Rabi frequency.
Single-peak feature of the measurement model makes the technique a valuable
tool for simple and fast field measurement. As an example, we use the technique
to determine the MW field strength inside a Cs vapor cell in the X-band
rectangular cavity for applied power in the range of -21 dBm to 20 dBm. The
results show that this proposed technique is capable for detecting the field
over a broad dynamical range.


title: Greenberger-Horne-Zeilinger Symmetry in Four Qubit System

abstract:
  Like a three-qubit Greenberger-Horne-Zeilinger(GHZ) symmetry we explore a
corresponding symmetry in the four-qubit system, which we call GHZ$_4$
symmetry. While whole GHZ-symmetric states can be represented by two real
parameters, the whole set of the GHZ$_4$-symmetric states is represented by
three real parameters. In the parameter space all GHZ$_4$-symmetric states
reside inside a tetrahedron. We also explore a question where the given SLOCC
class of the GHZ$_4$-symmetric states resides in the tetrahedron. Among nine
SLOCC classes we have examined five SLOCC classes, which results in three
linear hierarchies $L_{abc_2} \subset L_{a_4} \subset L_{a_2b_2} \subset
G_{abcd}$, $L_{a_20_{3\oplus\bar{1}}} \subset G_{abcd}$, and
$L_{0_{3\oplus\bar{1}}0_{3\oplus\bar{1}}} \subset G_{abcd}$ which hold, at
least, in the whole set of the GHZ$_4$-symmetric states. Difficulties arising
in the analysis of the remaining SLOCC classes are briefly discussed.


title:
Introduction to quiver varieties -- for ring and representation
  theoriests

abstract:
  We review the definition of quiver varieties and their relation to
representation theory of Kac-Moody Lie algebras. Target readers are ring and
representation theorists. We emphasize important roles of first extension
groups of the preprojective algebra associated with a quiver.


title:
The sharp upper bounds for the first positive eigenvalue of the
  Kohn-Laplacian on compact strictly pseudoconvex hypersurfaces

abstract:
  We give sharp and explicit upper bounds for the first positive eigenvalue
$\lambda_1(\Box_b)$ of the Kohn-Laplacian on compact strictly pseudoconvex
hypersurfaces in $\mathbb{C}^{n+1}$ in terms of their defining functions. As an
application, we show that in the family of real ellipsoids, $\lambda_1(\Box_b)$
has a unique maximum value at the CR sphere.


title:
An algorithm based on a new DQM with modified exponential cubic
  B-splines for solving hyperbolic telegraph equation in $(2+1)$ dimension

abstract:
  This paper developed a method called "modified exponential cubic B-Spline
differential quadrature (mExp-DQM) for space discretization together with a
time integration algorithm" for the numerical computation of hyperbolic
telegraph equation in $(2+1)$ dimension. The mExp-DQM is a new differential
quadrature method based on modified exponential cubic B-splines as basis which
reduces the problem into an amenable system of ordinary differential equations.
The resulting system is solved using a time integration algorithm. The
stability of the method is also studied by computing the eigenvalues of the
coefficients matrices, it is found that the scheme is conditionally stable. The
accuracy of the method is illustrated by computing the error between analytical
solutions and numerical solutions is measured by using $L_2$ and $L_{\infty}$
error norms for each problem. A comparison of mExp-DQM solutions with the
results of the other numerical methods has been carried out for various space
sizes and time step sizes.


title: Vocabulary and the Brain: Evidence from Neuroimaging Studies

abstract:
  In summary of the research findings presented in this paper, various brain
regions are correlated with vocabulary and vocabulary acquisition. Semantic
associations for vocabulary seem to be located near brain areas that vary
according to the type of vocabulary, e.g. ventral temporal regions important
for words for things that can be seen. Semantic processing is believed to be
strongly associated with the ANG. Phonological ability has been closely related
to the anterior surfaces of the SMG. Pathways through the posterior SMG are
thought to link the anterior SMG and the ANG. In vocabulary tasks,
mediotemporal structures may be related to long-term memory processing, with
left hippocampal and parahippocampal regions related to long-term and working
memory, respectively. Precentral structures are associated with phonological
retrieval. Furthermore, many more regions of the brain are of interest in
vocabulary tasks, particularly in areas important for visual and auditory
processing. Furthermore, differences between brain anatomies can be attributed
to vocabulary demands of different languages.


title: Tritium $\beta$-decay in pionless effective field theory

abstract:
  We calculate the $\beta$-decay of tritium at next-to-leading order in
pionless effective field theory. At this order, a low-energy parameter $L_{1,
A}$ enters the calculation that is also relevant for a high-accuracy prediction
of the solar proton-proton fusion rate. We use the tritium half-life to
determine this parameter and provide uncertainty estimates. We show proper
renormalization of our calculation analyzing the residual cutoff dependence of
observables. We find that next-to-leading order corrections contribute about
$4\%$ to the triton decay Gamow-Teller strength. We show that these conclusions
are insensitive to different arrangements of the effective range expansion.


title: Acoustic Filter Design Using Temperature Tuning

abstract:
  The material properties selection for designing acoustic filters with optimal
performance over a range of frequencies requires considerable effort to
fabricate and test laboratory samples. To simplify this procedure, one may test
a single sample at various temperatures to design an acoustic filter for a
desired band-width. The essential idea is to fabricate a single layered
periodic elastic composite with constituent materials that have
temperature-dependent properties. As temperature is changed, such a composite
exhibits a band structure that changes with the change in temperature. Once a
desired band structure is attained and the corresponding constituent properties
are identified, then new constituents that have those properties at the
required temperature can be selected and new sample fabricated. We fabricated a
2-phase composite with periodic layers of polyurea and steel. The temperature
is changed from -20{\deg}C to 60{\deg}C and ultrasonic measurements are
performed on the sample over 0.15 to 2.2MHz at each temperature. The first
three pass bands are captured experimentally and significant change in the band
structure is observed over the test temperature range. Experimental
transmission spectrum at each temperature is compared with the theoretical band
structure and it is shown that good agreement exists for the observed variation
in the band structure.


title:
Raman evidence for nonadiabatic effects in optical phonon self-energies
  of transition metals

abstract:
  We report a Raman study of the effect of temperature on the self-energies of
optical phonons in a number of transition metals with hexagonal-close-packed
structure. Anisotropic softening of phonon energies and narrowing of phonon
linewidths with increasing temperature are observed. These effects are
reproduced in the calculations of phonon spectral functions based on \textit{ab
initio} electronic structures and with carrier scattering by phonons taken into
account. The combined observations and results of simulations indicate a
relation between observed anomalies and the renormalization of the electron
spectrum due to electron-phonon interaction. It is emphasized that the
temperature dependence of the phonon energies resembles anharmonic behavior but
is actually an electron-induced effect.


title:
Structural Controllability of Multi-Agent Networks: Robustness against
  Simultaneous Failures

abstract:
  In this paper, structural controllability of a leader-follower multi-agent
system with multiple leaders is studied from a graph-theoretic point of view.
The problem of preservation of structural controllability under simultaneous
failures in both the communication links and the agents is investigated. The
effects of the loss of agents and communication links on the controllability of
an information flow graph are previously studied. In this work, the
corresponding results are exploited to introduce some useful indices and
importance measures that help characterize and quantify the role of individual
links and agents in the controllability of the overall network. Existing
results are then extended by considering the effects of losses in both links
and agents at the same time. To this end, the concepts of joint
(r,s)-controllability and joint t-controllability are introduced as
quantitative measures of reliability for a multi-agent system, and their
important properties are investigated. Lastly, the class of jointly critical
digraphs is introduced and it is stated that if a digraph is jointly critical,
then joint t-controllability is a necessary and sufficient condition for
remaining controllable following the failure of any set of links and agents,
with cardinality less than t. Various examples are exploited throughout the
paper to elaborate on the analytical findings.


title:
Operator Splitting Method for Simulation of Dynamic Flows in Natural Gas
  Pipeline Networks

abstract:
  We develop an operator splitting method to simulate flows of isothermal
compressible natural gas over transmission pipelines. The method solves a
system of nonlinear hyperbolic partial differential equations (PDEs) of
hydrodynamic type for mass flow and pressure on a metric graph, where turbulent
losses of momentum are modeled by phenomenological Darcy-Weisbach friction.
Mass flow balance is maintained through the boundary conditions at the network
nodes, where natural gas is injected or withdrawn from the system. Gas flow
through the network is controlled by compressors boosting pressure at the inlet
of the adjoint pipe. Our operator splitting numerical scheme is unconditionally
stable and it is second order accurate in space and time. The scheme is
explicit, and it is formulated to work with general networks with loops. We
test the scheme over range of regimes and network configurations, also
comparing its performance with performance of two other state of the art
implicit schemes.


title: Cooperative Phenomena in Spin Crossover Systems

abstract:
  Within the framework of a realistic multi-band p-d-model, we derived an
effective Hamiltonian to describe the exchange interaction effects near the
spin crossover in magnetic Mott-Hubbard insulators under pressure. It is shown
that single-ion mechanism of spin crossover under change of the crystal field
does not lead to a thermodynamic phase transition, however, at T = 0 a quantum
phase transition appears. It has been found that the cooperativity leads to a
modification of the quantum phase transition to a first-order phase transition
and the appearance of metastable states of the system. The pressure -
temperature phase diagram has been obtained to describe the magnetization and
high-spin population near the spin crossover of the Motts dielectrics with
d6-ions.


title: Deep Cuboid Detection: Beyond 2D Bounding Boxes

abstract:
  We present a Deep Cuboid Detector which takes a consumer-quality RGB image of
a cluttered scene and localizes all 3D cuboids (box-like objects). Contrary to
classical approaches which fit a 3D model from low-level cues like corners,
edges, and vanishing points, we propose an end-to-end deep learning system to
detect cuboids across many semantic categories (e.g., ovens, shipping boxes,
and furniture). We localize cuboids with a 2D bounding box, and simultaneously
localize the cuboid's corners, effectively producing a 3D interpretation of
box-like objects. We refine keypoints by pooling convolutional features
iteratively, improving the baseline method significantly. Our deep learning
cuboid detector is trained in an end-to-end fashion and is suitable for
real-time applications in augmented reality (AR) and robotics.


title: The Dantzig selector for diffusion processes with covariates

abstract:
  The Dantzig selector for a special parametric model of diffusion processes is
studied in this paper. In our model, the diffusion coefficient is given as the
exponential of the linear combination of other processes which are regarded as
covariates. We propose an estimation procedure which is an adaptation of the
Dantzig selector for linear regression models and prove the $l_q$ consistency
of the estimator for all $q \in [1,\infty]$.


title: Speed/accuracy trade-offs for modern convolutional object detectors

abstract:
  The goal of this paper is to serve as a guide for selecting a detection
architecture that achieves the right speed/memory/accuracy balance for a given
application and platform. To this end, we investigate various ways to trade
accuracy for speed and memory usage in modern convolutional object detection
systems. A number of successful systems have been proposed in recent years, but
apples-to-apples comparisons are difficult due to different base feature
extractors (e.g., VGG, Residual Networks), different default image resolutions,
as well as different hardware and software platforms. We present a unified
implementation of the Faster R-CNN [Ren et al., 2015], R-FCN [Dai et al., 2016]
and SSD [Liu et al., 2015] systems, which we view as "meta-architectures" and
trace out the speed/accuracy trade-off curve created by using alternative
feature extractors and varying other critical parameters such as image size
within each of these meta-architectures. On one extreme end of this spectrum
where speed and memory are critical, we present a detector that achieves real
time speeds and can be deployed on a mobile device. On the opposite end in
which accuracy is critical, we present a detector that achieves
state-of-the-art performance measured on the COCO detection task.


title: Increasing Fisher Information by Moving-Mesh Reconstruction

abstract:
  Reconstruction techniques are commonly used in cosmology to reduce
complicated nonlinear behaviours to a more tractable linearized system. We
study a new reconstruction technique that uses the Moving-Mesh algorithm to
estimate the displacement field from nonlinear matter distribution. We show the
performance of this new technique by quantifying its ability to reconstruct
linear modes. We study the cumulative Fisher information $I(<k_n)$ about the
initial matter power spectrum in the matter power spectra in 130 $N$-body
simulations before and after reconstruction, and find that the nonlinear
plateau of $I(<k_n)$ is increased by a factor of $\sim 50$ after
reconstruction, from $I \simeq 2.5 \times 10^{-5} /({\rm Mpc}/h)^3$ to $I
\simeq 1.3 \times 10^{-3}/({\rm Mpc}/h)^3$ at large $k$. This result includes
the decorrelation between initial and final fields, which has been neglected in
some previous studies. We expect this technique to be beneficial to problems
such as baryonic acoustic oscillations, redshift space distortions and cosmic
neutrinos that rely on accurately disentangling nonlinear evolution from
underlying linear effects.


title:
Characterization and Efficient Exhaustive Search Algorithm for
  Elementary Trapping Sets of Irregular LDPC Codes

abstract:
  In this paper, we propose a characterization of elementary trapping sets
(ETSs) for irregular low-density parity-check (LDPC) codes. These sets are
known to be the main culprits in the error floor region of such codes. The
characterization of ETSs for irregular codes has been known to be a challenging
problem due to the large variety of non-isomorphic ETS structures that can
exist within the Tanner graph of these codes. This is a direct consequence of
the variety of the degrees of the variable nodes that can participate in such
structures. The proposed characterization is based on a hierarchical graphical
representation of ETSs, starting from simple cycles of the graph, or from
single variable nodes, and involves three simple expansion techniques:
degree-one tree ($dot$), $path$ and $lollipop$, thus, the terminology {\em dpl
characterization}. A similar dpl characterization was proposed in an earlier
work by the authors for the leafless ETSs (LETSs) of variable-regular LDPC
codes. The present paper generalizes the prior work to codes with a variety of
variable node degrees and to ETSs that are not leafless. The proposed dpl
characterization corresponds to an efficient search algorithm that, for a given
irregular LDPC code, can find all the instances of $(a,b)$ ETSs with size $a$
and with the number of unsatisfied check nodes $b$ within any range of interest
$a \leq a_{max}$ and $b \leq b_{max}$, exhaustively. Although, (brute force)
exhaustive search algorithms for ETSs of irregular LDPC codes exist, to the
best of our knowledge, the proposed search algorithm is the first of its kind,
in that, it is devised based on a characterization of ETSs that makes the
search process efficient. Extensive simulation results are presented to show
the versatility of the search algorithm, and to demonstrate that, compared to
the literature, significant improvement in search speed can be obtained.


title: Quantum transport in coupled resonators enclosed synthetic magnetic flux

abstract:
  Quantum transport properties are instrumental to understanding quantum
coherent transport processes. Potential applications of quantum transport are
widespread, in areas ranging from quantum information science to quantum
engineering, and not restricted to quantum state transfer, control and
manipulation. Here, we study light transport in a ring array of coupled
resonators enclosed synthetic magnetic flux. The ring configuration, with an
arbitrary number of resonators embedded, forms an two-arm Aharonov-Bohm
interferometer. The influence of magnetic flux on light transport is
investigated. Tuning the magnetic flux can lead to resonant transmission, while
half-integer magnetic flux quantum leads to completely destructive interference
and transmission zeros in an interferometer with two equal arms.


title: Optical Barium Ion Qubit

abstract:
  We demonstrate an optical single qubit based on 6S1/2 to 5D5/2 quadrupole
transition of a single Ba+ ion operated by diode based lasers only. The
resonance wavelength of the 6S1/2 to 5D5/2 quadrupole transition is about 1762
nm which suitably falls close to the U-band of the telecommunication
wavelength. Thus this qubit is a naturally attractive choice towards
implementation of quantum repeater or quantum networks using existing
telecommunication networks. We observe continuous bit-flip oscillations at a
rate of about 250 kHz which is fast enough for the qubit operation as compared
to the measured coherence time of over 3 ms. We also present a technique to
quantify the bit-flip error in each qubit NOT gate operation.


title: Fast Supervised Discrete Hashing and its Analysis

abstract:
  In this paper, we propose a learning-based supervised discrete hashing
method. Binary hashing is widely used for large-scale image retrieval as well
as video and document searches because the compact representation of binary
code is essential for data storage and reasonable for query searches using
bit-operations. The recently proposed Supervised Discrete Hashing (SDH)
efficiently solves mixed-integer programming problems by alternating
optimization and the Discrete Cyclic Coordinate descent (DCC) method. We show
that the SDH model can be simplified without performance degradation based on
some preliminary experiments; we call the approximate model for this the "Fast
SDH" (FSDH) model. We analyze the FSDH model and provide a mathematically exact
solution for it. In contrast to SDH, our model does not require an alternating
optimization algorithm and does not depend on initial values. FSDH is also
easier to implement than Iterative Quantization (ITQ). Experimental results
involving a large-scale database showed that FSDH outperforms conventional SDH
in terms of precision, recall, and computation time.


title:
Bell states and entanglement of two-dimensional polar molecules in
  electric fields

abstract:
  Entanglement generated from polar molecules of two-dimensional rotation is
investigated in a static electric field. The electric field modulates the
rotational properties of molecules, leading to distinctive entanglement. The
concurrence is used to estimate the degree of entanglement. When the electric
field is applied parallel or perpendicular to the intermolecular direction, the
concurrences reveal two overlapping features. Such a pronounced signature
corresponds to the coexistence of all Bell-like states. The characteristics of
Bell-like states and overlapping concurrences are kept independent of the
modulation of dipole-field and dipole-dipole interactions. On the contrary, the
Bell-like states fail to coexist in other field directions, reflecting
nonoverlapping concurrences. Furthermore, the thermal effect on the
entanglement is analyzed for the Bell-like states. Dissimilar suppressed
concurrences occur due to different energy structures for the two specific
field directions.


title:
The mixed-state Hall conductivity of single-crystal films
  $Nd_{2-x}Ce_xCuO_{4+\delta}$ (x=0.14)

abstract:
  The magnetic-field dependencies of the longitudinal and Hall resistivity of
the electron-doped compounds $Nd_{2-x}Ce_xCuO_{4+\delta}$ in underdoped region
(x=0.14) were investigated. It was established experimentally a strong magnetic
field dependence of the Hall conductivity, $\sigma_{xy}(B)=C-b/B$, in the
region of magnetic fields corresponding to a transition from superconducting to
resistive state. The observed feature can be explained with the sum of
contributions of the quasiparticles and moving Abrikosov vortices into Hall
effect in a mixed state of type-II superconductor.


title:
Overarching framework between Gaussian quantum discord and Gaussian
  quantum illumination

abstract:
  We cast the problem of illuminating an object in a noisy environment into a
communication protocol. A probe is sent into the environment, and the presence
or absence of the object constitutes a signal encoded on the probe. The probe
is then measured to decode the signal. We calculate the Holevo information and
bounds to the accessible information between the encoded and received signal
with two different Gaussian probes---an Einstein-Podolsky-Rosen (EPR) state and
a coherent state. We also evaluate the Gaussian discord consumed during the
encoding process with the EPR probe. We find that the Holevo quantum advantage,
defined as the difference between the Holevo information obtained from the EPR
and coherent state probes, is approximately equal to the discord consumed.
These quantities become exact in the typical illumination regime of low object
reflectivity and low probe energy. Hence we show that discord is the resource
responsible for the quantum advantage in Gaussian quantum illumination.


title:
Field study on requirements engineering: Investigation of artefacts,
  project parameters, and execution strategies

abstract:
  Requirements Engineering (RE) is a critical discipline mostly driven by
uncertainty, since it is influenced by the customer domain or by the
development process model used. We aim to investigate RE processes in
successful project environments to discover characteristics and strategies that
allow us to elaborate RE tailoring approaches in the future. We perform a field
study on a set of projects at one company. First, we investigate by content
analysis which RE artefacts were produced in each project and to what extent
they were produced. Second, we perform qualitative analysis of semi-structured
interviews to discover project parameters that relate to the produced
artefacts. Third, we use cluster analysis to infer artefact patterns and
probable RE execution strategies, which are the responses to specific project
parameters. Fourth, we investigate by statistical tests the effort spent in
each strategy in relation to the effort spent in change requests to evaluate
the efficiency of execution strategies. Our results show no statistically
significant difference between the efficiency of the strategies. In addition,
it turned out that many parameters considered as the main causes for project
failures can be successfully handled. Hence, practitioners can apply the
artefact patterns and related project parameters to tailor the RE process
according to individual project characteristics.


title: A Case Study on Artefact-based RE Improvement in Practice

abstract:
  Most requirements engineering (RE) process improvement approaches are
solution-driven and activity-based. They focus on the assessment of the RE of a
company against an external norm of best practices. A consequence is that
practitioners often have to rely on an improvement approach that skips a
profound problem analysis and that results in an RE approach that might be
alien to the organisational needs. In recent years, we have developed an RE
improvement approach (called \emph{ArtREPI}) that guides a holistic RE
improvement against individual goals of a company putting primary attention to
the quality of the artefacts. In this paper, we aim at exploring ArtREPI's
benefits and limitations. We contribute an industrial evaluation of ArtREPI by
relying on a case study research. Our results suggest that ArtREPI is
well-suited for the establishment of an RE that reflects a specific
organisational culture but to some extent at the cost of efficiency resulting
from intensive discussions on a terminology that suits all involved
stakeholders. Our results reveal first benefits and limitations, but we can
also conclude the need of longitudinal and independent investigations for which
we herewith lay the foundation.


title:
A Field Study on the Elicitation and Classification of Defects for
  Defect Models

abstract:
  Defect models capture faults and methods to provoke failures. To integrate
such defect models into existing quality assurance processes, we developed a
defect model lifecycle framework, in which the elicitation and classification
of context-specific defects forms a crucial step. Although we could gather
first insights from its practical application, we still have little knowledge
about its benefits and limitations. We aim at qualitatively analyzing the
context-specific elicitation and classification of defects to explore the
suitability of our approach for practical application. We apply case study
research in multiple contexts and analyze (1) what kind of defects we can
elicit and the degree to which the defects matter to a context only, (2) the
extent to which it leads to results useful enough for describing and
operationalizing defect models, and (3) if there is a perceived additional
immediate benefit from a practitioner's perspective. Our results strengthen our
confidence on the suitability of our approach to elicit defects that are
context-specific as well as context-independent. We conclude so far that our
approach is suitable to provide a blueprint on how to elicit and classify
defects for specific contexts to be used for the improvement of quality
assurance techniques.


title: Artefact-based Requirements Engineering: The AMDiRE Approach

abstract:
  The various influences in the processes and application domains make
Requirements Engineering (RE) inherently complex and difficult to implement. In
general, we have two options for establishing an RE approach: we can either
establish an activity-based RE approach or we can establish an artefact-based
one where project participants concentrate on the RE artefacts rather than on
the way of creating them. While a number of activity-based RE approaches have
been proposed in recent years, we have gained much empirical evidence and
experiences about the advantages of the artefact-based paradigm for RE.
However, artefact orientation is still a young paradigm with various
interpretations and practical manifestations whereby we need a clear
understanding of its basic concepts and a consolidated and evaluated view on
the paradigm.
  In this article, we contribute an artefact-based approach to RE (AMDiRE) that
emerges from six years of experiences in fundamental and evidence-based
research. To this end, we first discuss the basic notion of artefact
orientation and its evolution in recent years. We briefly introduce a set of
artefact-based RE models we developed in industrial research cooperations for
different application domains, show their empirical evaluations, and their
dissemination into academia and practice, eventually leading to the AMDiRE
approach. We conclude with a discussion of experiences we made during the
development and different industrial evaluations, and lessons learnt.


title: The Size of Local Bispectrum and Trispectrum in a Non-Minimal Inflation

abstract:
  Focusing on the local type primordial non-Gaussianities, we study the
bispectrum and trispectrum during a non-minimal slow-roll inflation. We use the
so-called $\delta N$ formalism to investigate the super-horizon evolution of
the primordial perturbations in this setup. Firstly we obtain the main
equations of the model and introduce the framework of the $\delta N$ formalism
for this case. Then we give analytical expressions for the nonlinear parameters
describing the non-Gaussianity in the slow-roll approximation. We analyze the
bispectrum by its non-linear parameter, $f_{NL}$. Furthermore, we calculate
$\tau_{NL}$ and $g_{NL}$ which are non-linear parameters characterizing the
amplitude of trispectrum. Finally, by adopting a quadratic form for both the
potential and non-minimal coupling (NMC) function, we test our setup in the
light of Planck2015 data and constrain the model parameters space. Although the
non-Gaussianity parameters are so small in this setup, this model is consistent
with recent observation. We extend our analysis to see the situation in the
Einstein frame and compare the results in these two frames.


title: A structural approach to state-to-output decoupling

abstract:
  In this paper, we address a general eigenstructure assignment problem where
the objective is to distribute the closed-loop modes over the components of the
system outputs in such a way that, if a certain mode appears in a given output,
it is unobservable from any of the other output components. By linking
classical geometric control results with the theory of combinatorics, we
provide necessary and sufficient conditions for the solvability of this
problem, herein referred to as state-to-output decoupling, under very mild
assumptions. We propose solvability conditions expressed in terms of the
dimensions of suitably defined controlled invariant subspaces of the system. In
this way, the solvability of the problem can be evaluated a priori, in the
sense that it is given in terms of the problem/system data. Finally, it is
worth mentioning that the proposed approach is constructive, so that when a
controller that solves the problem indeed exists, it can be readily computed by
using the machinery developed in this paper.


title: Arithmetic Spectral Transitions for the Maryland Model

abstract:
  We give a precise description of spectra of the Maryland model $
(h_{\lambda,\alpha,\theta}u)_n=u_{n+1}+u_{n-1}+ \lambda \tan
\pi(\theta+n\alpha)u_n$ for all values of parameters. We introduce an
arithmetically defined index $\delta (\alpha, \theta)$ and show that for
$\alpha\notin\mathbb{Q},\,$
$\sigma_{sc}(h_{\lambda,\alpha,\theta})=\overline{\{e:\gamma_{\lambda}(e)
<\delta (\alpha, \theta) \}}$ and
$\sigma_{pp}(h_{\lambda,\alpha,\theta})=\{e:\gamma_{\lambda}(e) \geq \delta
(\alpha, \theta) \}$. Since
$\sigma_{ac}(h_{\lambda,\alpha,\theta})=\emptyset,\;$ this gives complete
description of the spectral decomposition for {\it all} values of parameters
$\lambda,\alpha,\theta$, making it the first case of a family where arithmetic
spectral transition is described without any parameter exclusion. The set of
eigenvalues can be explicitly identified for all parameters, using the {\it
quantization condition}. We also establish, for the first time for this or any
other model, a quantization condition for singular continuous spectrum (an
arithmetically defined measure zero set that supports singular continuous
measures) for all parameters.


title:
A lower bound on the Lyapunov exponent for the generalized Harper's
  model

abstract:
  We obtain a lower bound for the Lyapunov exponent of a family of discrete
Schr\"{o}dinger operators
$(Hu)_n=u_{n+1}+u_{n-1}+2a_1\cos2\pi(\theta+n\alpha)u_n+2a_2\cos4\pi(\theta+n\alpha)u_n$,
that incorporates both $a_1$ and $a_2,$ thus going beyond the Herman's bound.


title: Decoupled mixed element schemes for fourth order problems

abstract:
  In this paper, we study decoupled mixed element schemes for fourth order
problems. A general process is designed such that an elliptic problem on
high-regularity space is transformed to a decoupled system with spaces of low
order involved only and is further discretised by low-degree finite elements.
The process can be fit for various fourth order problems, and is used in the
remaining of the paper particularly for three-dimensional bi-Laplacian equation
to conduct a family of mixed element discretisation schemes.


title: The spectra of surface Maryland model for all phases

abstract:
  We study the discrete Schr\"{o}dinger operators $H_{\lambda,\alpha,\theta}$
on $\ell^2(\mathbb{Z}^{d+1})$ with surface potential of the form
$V(n,x)=\lambda \delta(x)\tan\pi(\alpha\cdot n+\theta)$, and
$H_{\lambda,\alpha,\theta}^{+}$ on $\ell^2(\mathbb{Z}^{d}\times \mathbb{Z}_+)$
with the boundary condition $ \psi_{(n,-1)}=\lambda \tan\pi(\alpha\cdot
n+\theta)\psi_{(n,0)} $, where $\alpha\in \mathbb{R}^d$ is rationally
independent. We show that the spectra of $H_{\lambda,\alpha,\theta}$ and
$H_{\lambda,\alpha,\theta}^{+}$ are $(-\infty,\infty)$ for all parameters. We
can also determine the absolutely continuous spectra and Hausdorff dimension of
the spectral measures if $d=1$.


title: Active Deep Learning for Classification of Hyperspectral Images

abstract:
  Active deep learning classification of hyperspectral images is considered in
this paper. Deep learning has achieved success in many applications, but
good-quality labeled samples are needed to construct a deep learning network.
It is expensive getting good labeled samples in hyperspectral images for remote
sensing applications. An active learning algorithm based on a weighted
incremental dictionary learning is proposed for such applications. The proposed
algorithm selects training samples that maximize two selection criteria, namely
representative and uncertainty. This algorithm trains a deep network
efficiently by actively selecting training samples at each iteration. The
proposed algorithm is applied for the classification of hyperspectral images,
and compared with other classification algorithms employing active learning. It
is shown that the proposed algorithm is efficient and effective in classifying
hyperspectral images.


title: Enhancement of a sunspot light wall with external disturbances

abstract:
  Based on the \emph{Interface Region Imaging Spectrograph} observations, we
study the response of a solar sunspot light wall to external disturbances. A
flare occurrence near the light wall caused material to erupt from the lower
solar atmosphere into the corona. Some material falls back to the solar
surface, and hits the light bridge (i.e., the base of the light wall), then
sudden brightenings appear at the wall base followed by the rise of wall top,
leading to an increase of the wall height. Once the brightness of the wall base
fades, the height of the light wall begins to decrease. Five hours later,
another nearby flare takes place, a bright channel is formed that extends from
the flare towards the light bridge. Although no obvious material flow along the
bright channel is found, some ejected material is conjectured to reach the
light bridge. Subsequently, the wall base brightens and the wall height begins
to increase again. Once more, when the brightness of the wall base decays, the
wall top fluctuates to lower heights. We suggest, based on the observed cases,
that the interaction of falling material and ejected flare material with the
light wall results in the brightenings of wall base and causes the height of
the light wall to increase. Our results reveal that the light wall can be not
only powered by the linkage of \emph{p}-mode from below the photosphere, but
may also be enhanced by external disturbances, such as falling material.


title:
Improved Hamiltonian simulation via a truncated Taylor series and
  corrections

abstract:
  We describe an improved version of the quantum simulation method based on the
implementation of a truncated Taylor series of the evolution operator. The idea
is to add an extra step to the previously known algorithm which implements an
operator that corrects the weightings of the Taylor series. This way, the
desired accuracy is achieved with an improvement in the overall complexity of
the algorithm. This quantum simulation method is applicable to a wide range of
Hamiltonians of interest, including to quantum chemistry problems.


title: A rescaled method for RBF approximation

abstract:
  In the recent paper [8], a new method to compute stable kernel-based
interpolants has been presented. This \textit{rescaled interpolation} method
combines the standard kernel interpolation with a properly defined rescaling
operation, which smooths the oscillations of the interpolant. Although
promising, this procedure lacks a systematic theoretical investigation. Through
our analysis, this novel method can be understood as standard kernel
interpolation by means of a properly rescaled kernel. This point of view allow
us to consider its error and stability properties.


title: Finsler geodesics, periodic Reeb orbits, and open books

abstract:
  We survey some results on the existence (and non-existence) of periodic Reeb
orbits on contact manifolds, both in the open and closed case. We place these
statements in the context of Finsler geometry by including a proof of the
folklore theorem that the Finsler geodesic flow can be interpreted as a Reeb
flow. As a mild extension of previous results we present existence statements
on periodic Reeb orbits on contact manifolds with suitable supporting open
books.


title: Cu-In Halide Perovskite solar absorbers

abstract:
  The long-term chemical instability and the presence of toxic Pb in otherwise
stellar solar absorber APbX$_{3}$ have hindered their large-scale
commercialization. Previously explored ways to achieve Pb-free halide
perovskites involved replacing Pb$^{2+}$ with other similar M$^{2+}$ cations in
ns$^2$ electron configuration, e.g., Sn$^{2+}$ or by Bi$^{3+}$ (plus Ag$^+$),
but unfortunately this showed either poor stability (M = Sn) or weakly
absorbing oversized indirect gaps (M = Bi), prompting concerns that perhaps
stability and good optoelectronic properties might be contraindicated. Herein,
we exploit the electronic structure underpinning of classic Cu[In,Ga]Se$_{2}$
(CIGS) chalcopyrite solar absorbers to design Pb-free halide perovskites by
transmuting 2Pb to the pair [B$^{IB}$ + C$^{III}$]. The resulting group of
double perovskites with formula A$_2$BCX$_6$ (A = K, Rb, Cs; B = Cu, Ag; C =
Ga, In; X = Cl, Br, I) benefits from the ionic, yet narrow-gap character of
halide perovskites, and at the same time borrows the advantage of the strong
and rapidly rising Cu(d)/Se(p) $\rightarrow$ Ga/In(s/p)
valence-to-conduction-band absorption spectra known from CIGS. This constitutes
a new group of CuIn-based Halide Perovskite (CIHP). Our first-principles
calculations guided by such design principles indicate that the CIHPs class has
members with clear thermodynamic stability, showing rather strong direct-gap
optical transitions, and manifesting a wide-range of tunable gap values (from
zero to about 2.5 eV) and combination of light electron and heavy-light hole
effective masses. Materials screening of candidate CHIPs then identifies the
best-of-class Rb$_2$[CuIn]Cl$_6$, Rb$_2$[AgIn]Br$_6$ and Cs$_2$[AgIn]Br$_6$,
having direct band gaps of 1.36, 1.46 and 1.50 eV, and a theoretical
spectroscopic limited maximal efficiency comparable to chalcopyrites and
CH$_3$NH$_3$PbI$_3$.


title:
On the critical points of random matrix characteristic polynomials and
  of the Riemann $\xi$-function

abstract:
  A one-parameter family of point processes describing the distribution of the
critical points of the characteristic polynomial of large random Hermitian
matrices on the scale of mean spacing is investigated. Conditionally on the
Riemann hypothesis and the multiple correlation conjecture, we show that one of
these limiting processes also describes the distribution of the critical points
of the Riemann $\xi$-function on the critical line.
  We prove that each of these processes boasts stronger level repulsion than
the sine process describing the limiting statistics of the eigenvalues: the
probability to find $k$ critical points in a short interval is comparable to
the probability to find $k+1$ eigenvalues there. We also prove a similar
property for the critical points and zeros of the Riemann $\xi$-function,
conditionally on the Riemann hypothesis but not on the multiple correlation
conjecture.


title: Towards Accurate Word Segmentation for Chinese Patents

abstract:
  A patent is a property right for an invention granted by the government to
the inventor. An invention is a solution to a specific technological problem.
So patents often have a high concentration of scientific and technical terms
that are rare in everyday language. The Chinese word segmentation model trained
on currently available everyday language data sets performs poorly because it
cannot effectively recognize these scientific and technical terms. In this
paper we describe a pragmatic approach to Chinese word segmentation on patents
where we train a character-based semi-supervised sequence labeling model by
extracting features from a manually segmented corpus of 142 patents, enhanced
with information extracted from the Chinese TreeBank. Experiments show that the
accuracy of our model reached 95.08% (F1 score) on a held-out test set and
96.59% on development set, compared with an F1 score of 91.48% on development
set if the model is trained on the Chinese TreeBank. We also experimented with
some existing domain adaptation techniques, the results show that the amount of
target domain data and the selected features impact the performance of the
domain adaptation techniques.


title:
Dark state population determines magnetic sensitivity in radical pair
  magnetoreception model

abstract:
  What is the real role of the quantum coherence and entanglement in the
radical pair (RP) compass, and what determines the singlet yield have not been
fully understood. In this paper, we find that the dark states of the
two-electron Zeeman energy operator (TEZE) play an important role in the RP
compass. We respectively calculate the singlet yields for two initial states in
this dark state basis: the coherent state and the same state just removing the
dark state coherence. For the later there is neither dark state coherence nor
entanglement in the whole dynamical process. Surprisingly we find that in both
cases the singlet yields are the same, and based on this result, we believe
that the dark state population determines the singlet yield completely, and the
dark state coherence and entanglement have little contribution to it. Finally,
we also find that the dark state population as well as the singlet yield
anisotropy is fragile to the vertical magnetic noise. However, the orientation
is robust and is even enhanced by the parallel magnetic noise because the dark
states expand a decoherence-free subspace. The dark state population as well as
the orientation is more robust to the hyperfine coupling noise.


title: Interacting scale but non-conformal field theories

abstract:
  There is a dilemma in constructing interacting scale invariant but not
conformal invariant Euclidean field theories. On one hand, scale invariance
without conformal invariance seems more generic by requiring only a smaller
symmetry. On the other hand, the existence of a non-conserved current with
exact scaling dimension $d-1$ in $d$ dimensions seems to require extra
fine-tuning. To understand the competition better, we explore some examples
without the reflection positivity. We show that a theory of elasticity (a.k.a
Riva-Cardy theory) coupled with massless fermions in $d=4-\epsilon$ dimensions
does not possess an interacting scale invariant fixed point except for unstable
(and unphysical) one with an infinite coefficient of compression. We do,
however, find interacting scale invariant but non-conformal field theories in
gauge fixed versions of the Banks-Zaks fixed points in $d=4$ dimensions.


title: Subsampled online matrix factorization with convergence guarantees

abstract:
  We present a matrix factorization algorithm that scales to input matrices
that are large in both dimensions (i.e., that contains morethan 1TB of data).
The algorithm streams the matrix columns while subsampling them, resulting in
low complexity per iteration andreasonable memory footprint. In contrast to
previous online matrix factorization methods, our approach relies on
low-dimensional statistics from past iterates to control the extra variance
introduced by subsampling. We present a convergence analysis that guarantees us
to reach a stationary point of the problem. Large speed-ups can be obtained
compared to previous online algorithms that do not perform subsampling, thanks
to the feature redundancy that often exists in high-dimensional settings.


title: Lipidomic approach for stratification of Acute Myeloid Leukemia patients

abstract:
  The pathogenesis and progression of many tumors, including hematologic
malignancies is highly dependent on enhanced lipogenesis. De novo fatty-acid
synthesis permits accelerated proliferation of tumor cells by providing
structural components to build the membranes. It may also lead to alterations
of physicochemical properties of the formed membranes, which can have an impact
on signaling or even increase resistance to drugs in cancer cells. Cancer
type-specific lipid profiles would allow understanding the actual effects of
lipid changes and therefore could potentially serve as fingerprints for
individual tumors and be explored as diagnostic markers. We have used shotgun
MS approach to identify lipid patterns in different types of acute myeloid
leukemia (AML) patients that either show no karyotype changes or belong to
t(8;21) or inv16 types. The observed differences in lipidomes of t(8;21) and
inv(16) patients, as compared to AML patients without karyotype changes,
concentrate mostly on substantial modulation of ceramides/sphingolipids
synthesis. Also significant changes in the physicochemical properties of the
membranes, between the t(8;21) and the other patients, were noted that were
related to a marked alteration in the saturation levels of lipids. The revealed
differences in lipid profiles of various AML types increase our understanding
of the affected biochemical pathways and can potentially serve as diagnostic
tools.


title: A disproof of a conjecture of Al Baernstein II

abstract:
  We answer a question that was asked by Albert Baernstein II, regarding the
coefficients of circular symmetrization. The conjecture is not true
generically.


title:
Analysis of discontinuous Galerkin dual-primal isogeometric tearing and
  interconnecting methods

abstract:
  In this paper, we present the analysis of the discontinuous Galerkin
dual-primal isogeometric tearing and interconnecting method (dG-IETI-DP) for
the two-dimensional case where we only consider vertex primal variables. The
dG-IETI-DP method is a combination of the dual-primal isogeometric tearing and
interconnecting method (IETI-DP) with the discontinuous Galerkin (dG) method.
We use the dG method only on the interfaces to couple different patches. This
enables us to handle non-matching grids on patch interfaces as well as
segmentation crimes (gaps and overlaps) between the patches. The purpose of
this paper is to derive quasi-optimal bounds for the condition number of the
preconditioned system with respect to the maximal ratio $H/h:=\max_k(H_k/h_k)$
of subdomain diameter and meshsize. We show that the constant is independent of
$h_k$ and $H_k$, but depends on the ratio of meshsizes of neighbouring patches
$h_\ell/h_k$.


title: Scalable Similarity Search for Molecular Descriptors

abstract:
  Similarity search over chemical compound databases is a fundamental task in
the discovery and design of novel drug-like molecules. Such databases often
encode molecules as non-negative integer vectors, called molecular descriptors,
which represent rich information on various molecular properties. While there
exist efficient indexing structures for searching databases of binary vectors,
solutions for more general integer vectors are in their infancy. In this paper
we present a time- and space- efficient index for the problem that we call the
succinct intervals-splitting tree algorithm for molecular descriptors (SITAd).
Our approach extends efficient methods for binary-vector databases, and uses
ideas from succinct data structures. Our experiments, on a large database of
over 40 million compounds, show SITAd significantly outperforms alternative
approaches in practice.


title:
Production of proton-rich nuclei around Z=84-90 in fusion-evaporation
  reactions

abstract:
  Within the framework of the dinuclear system model, production cross sections
of proton-rich nuclei with charged numbers of Z=84-90 are investigated
systematically. Possible combinations with the $^{28}$Si, $^{32}$S, $^{40}$Ar
bombarding the target nuclides $^{165}$Ho, $^{169}$Tm, $^{170-174}$Yb,
$^{175,176}$Lu, $^{174,176-180}$Hf and $^{181}$Ta are analyzed thoroughly. The
optimal excitation energies and evaporation channels are proposed to produce
the proton-rich nuclei. The systems are feasible to be constructed in
experiments. It is found that the neutron shell closure of N=126 is of
importance during the evaporation of neutrons. The experimental excitation
functions in the $^{40}$Ar induced reactions can be nicely reproduced. The
charged particle evaporation is comparable with neutrons in cooling the excited
proton-rich nuclei, in particular for the channels with $\alpha$ and proton
evaporation. The production cross section increases with the mass asymmetry of
colliding systems because of the decrease of the inner fusion barrier. The
channels with pure neutron evaporation depend on the isotopic targets. But it
is different for the channels with charged particles and more sensitive to the
odd-even effect.


title:
A framework to reconcile frequency scaling measurements, from
  intracellular recordings, local-field potentials, up to EEG and MEG signals

abstract:
  In this viewpoint article, we discuss the electric properties of the medium
around neurons, which are important to correctly interpret extracellular
potentials or electric field effects in neural tissue. We focus on how these
electric properties shape the frequency scaling of brain signals at different
scales, such as intracellular recordings, the local field potential (LFP), the
electroencephalogram (EEG) or the magnetoencephalogram (MEG). These signals
display frequency-scaling properties which are not consistent with resistive
media. The medium appears to exert a frequency filtering scaling as
$1/\sqrt{f}$, which is the typical frequency scaling of ionic diffusion. Such a
scaling was also found recently by impedance measurements in physiological
conditions. Ionic diffusion appears to be the only possible explanation to
reconcile these measurements and the frequency-scaling properties found in
different brain signals. However, other measurements suggest that the
extracellular medium is essentially resistive. To resolve this discrepancy, we
show new evidence that metal-electrode measurements can be perturbed by shunt
currents going through the surface of the brain. Such a shunt may explain the
contradictory measurements, and together with ionic diffusion, provides a
framework where all observations can be reconciled. Finally, we propose a
method to perform measurements avoiding shunting effects, thus enabling to test
the predictions of this framework.


title: The Effects of Vacancy and Oxidation on Black Phosphorus Nanoresonators

abstract:
  Black phosphorene is not stable at ambient conditions, so atomic defects and
oxidation effects are unavoidable in black phosphorus samples in the
experiment. The effects of these defects on the performance of the black
phosphorus nanoresonators are still unclear. Here, we perform classical
molecular dynamics to investigate the effects of the vacancy and oxidation on
single-layer black phosphorus nanoresonators at different temperatures. We find
that the vacancy causes strong reduction in the quality factor of the
nanoresonators, while the oxidation has weaker effect on the nanoresonators.
More specifically, a 2% concentration of randomly distributed single vacancies
is able to reduce the quality factor by about 80% and 40% at 4.2K and 50K,
respectively. We also find that the quality factor of the nanoresonator is not
sensitive to the distribution pattern of the vacancy defects.


title: Top quark property measurements in single top

abstract:
  A review of the recent results on measurements of top quark properties in
single top quark events using data samples of proton proton collisions produced
by the LHC at sqrt(s) = 7 and 8 TeV and collected by ATLAS and CMS detectors is
presented, including the top quark polarization, the W boson helicity, searches
for anomalous Wtb couplings and the top quark mass. The measurements are in
good agreement with predictions and no deviations from Standard Model
expectations have been observed.


title: Ground State Phase Diagram of S=1 Diamond Chains

abstract:
  We investigate the ground-state phase diagram of a spin-1 diamond chain.
Owing to a series of conservation laws, any eigenstate of this system can be
expressed using the eigenstates of finite odd-length chains or infinite chains
with spins 1 and 2. The ground state undergoes quantum phase transitions with
varying $\lambda$, a parameter that controls frustration. Exact upper and lower
bounds for the phase boundaries between these phases are obtained. The phase
boundaries are determined numerically in the region not explored in the
previous work [Takano et al. J. Phys.: Condens. Matter 8 (1996) 6405].


title: Strongly Interacting One-Dimensional Systems with Small Mass Imbalance

abstract:
  We study a strongly interacting system of N identical bosons and one impurity
in a one-dimensional trap. First, we assume that the particles have identical
masses and analyze the corresponding set-up. After that, we study the influence
of a small mass asymmetry on our analysis. In particular, we discuss how the
structure of the wave function and the degeneracy in the impenetrable regime
depend on the mass ratio and the shape of the trapping potential. To illustrate
our findings, we consider a four-body system in a box and in an oscillator. We
show that in the former case the system has the smallest energy when a heavy
(light) impurity is close to the edge (center) of the trap. And we demonstrate
that the opposite is true in the latter case.


title: Performance Tuning of Hadoop MapReduce: A Noisy Gradient Approach

abstract:
  Hadoop MapReduce is a framework for distributed storage and processing of
large datasets that is quite popular in big data analytics. It has various
configuration parameters (knobs) which play an important role in deciding the
performance i.e., the execution time of a given big data processing job.
Default values of these parameters do not always result in good performance and
hence it is important to tune them. However, there is inherent difficulty in
tuning the parameters due to two important reasons - firstly, the parameter
search space is large and secondly, there are cross-parameter interactions.
Hence, there is a need for a dimensionality-free method which can automatically
tune the configuration parameters by taking into account the cross-parameter
dependencies. In this paper, we propose a novel Hadoop parameter tuning
methodology, based on a noisy gradient algorithm known as the simultaneous
perturbation stochastic approximation (SPSA). The SPSA algorithm tunes the
parameters by directly observing the performance of the Hadoop MapReduce
system. The approach followed is independent of parameter dimensions and
requires only $2$ observations per iteration while tuning. We demonstrate the
effectiveness of our methodology in achieving good performance on popular
Hadoop benchmarks namely \emph{Grep}, \emph{Bigram}, \emph{Inverted Index},
\emph{Word Co-occurrence} and \emph{Terasort}. Our method, when tested on a 25
node Hadoop cluster shows 66\% decrease in execution time of Hadoop jobs on an
average, when compared to the default configuration. Further, we also observe a
reduction of 45\% in execution times, when compared to prior methods.


title:
Using Temporal and Semantic Developer-Level Information to Predict
  Maintenance Activity Profiles

abstract:
  Predictive models for software projects' characteristics have been
traditionally based on project-level metrics, employing only little
developer-level information, or none at all. In this work we suggest novel
metrics that capture temporal and semantic developer-level information
collected on a per developer basis. To address the scalability challenges
involved in computing these metrics for each and every developer for a large
number of source code repositories, we have built a designated repository
mining platform. This platform was used to create a metrics dataset based on
processing nearly 1000 highly popular open source GitHub repositories,
consisting of 147 million LOC, and maintained by 30,000 developers. The
computed metrics were then employed to predict the corrective, perfective, and
adaptive maintenance activity profiles identified in previous works. Our
results show both strong correlation and promising predictive power with
R-squared values of 0.83, 0.64, and 0.75. We also show how these results may
help project managers to detect anomalies in the development process and to
build better development teams. In addition, the platform we built has the
potential to yield further predictive models leveraging developer-level metrics
at scale.


title: High Energy Cosmic Rays From Supernovae

abstract:
  Cosmic rays are charged relativistic particles that reach the Earth with
extremely high energies, providing striking evidence of the existence of
effective accelerators in the Universe. Below an energy around $\sim 10^{17}$
eV cosmic rays are believed to be produced in the Milky Way while above that
energy their origin is probably extragalactic. In the early '30s supernovae
were already identified as possible sources for the Galactic component of
cosmic rays. After the '70s this idea has gained more and more credibility
thanks to the the development of the diffusive shock acceleration theory, which
provides a robust theoretical framework for particle energization in
astrophysical environments. Afterwards, mostly in recent years, much
observational evidence has been gathered in support of this framework,
converting a speculative idea in a real paradigm. In this Chapter the basic
pillars of this paradigm will be illustrated. This includes the acceleration
mechanism, the non linear effects produced by accelerated particles onto the
shock dynamics needed to reach the highest energies, the escape process from
the sources and the transportation of cosmic rays through the Galaxy. The
theoretical picture will be corroborated by discussing several observations
which support the idea that supernova remnants are effective cosmic ray
factories.


title:
How bees and foams respond to curved confinement: level set boundary
  representations in the Surface Evolver

abstract:
  We present a Surface Evolver framework for simulating single bubbles and
multicellular foams trapped between curved parallel surfaces. We are able to
explore a range of geometries using level set constraints to model the bounding
surfaces. Unlike previous work, in which the bounding surfaces are flat (the so
called Hele-Shaw geometry), we consider surfaces with non- vanishing Gaussian
curvature, specifically the sphere, the torus and the Schwarz
Primitive-surface. In the case of multi-cellular foams - our method is to first
distribute a set of N points evenly over the surface (using an en- ergy
minimisation approach), these seed points are then used to generate a Voronoi
partition, that is clipped to the confining space, which in turn forms the
basis of a Surface Evolver simulation. In addition we describe our ex-
perimental attempt to generate a honeycomb on a negatively curved surface, by
trapping bees between two Schwarz Primitive-surfaces. Our aim is to understand
how bees adapt the usual hexagonal motif of the honeycomb to cope with a curved
surface. To our knowledge this is the first time that an attempt has been made
to realise a biological cellular structure of this type.


title:
Monotonicity of entropy and positively oriented transversality for
  families of interval maps

abstract:
  In this paper we will develop a very general approach which shows that
critical relations of holomorphic maps on the complex plane unfold
transversally in a positively oriented way. We will mainly illustrate this
approach to obtain transversality for a wide class of one-parameter families of
interval maps, for example maps with flat critical points, piecewise linear
maps, maps with discontinuities but also for families of maps with complex
analytic extensions such as certain polynomial-like maps.


title: General soliton solutions to a coupled Fokas-Lenells equation

abstract:
  In this paper, we firstly establish the multi-Hamiltonian structure and
infinite many conservation laws for the vector Kaup-Newell hierarchy of the
positive and negative orders. The first nontrivial negative flow corresponds to
a coupled Fokas-Lenells equation. By constructing a generalized Darboux
transformation and using a limiting process, all kinds of one-soliton solutions
are constructed including the bright-dark soliton, the dark-anti-dark soliton
and the breather-like solutions. Furthermore, multi-bright and multi-dark
soliton solutions are derived and their asymptotic behaviors are investigated.


title: Non-Crossing Perfect Matchings and Triangle-Free Geometric Graphs

abstract:
  We study extremal type problem arising from the question: What is the maximum
number of edge-disjoint non-crossing perfect matchings on a set S of 2n points
in the plane such that their union is a triangle-free geometric graph? We
approach this problem by considering four different situations of S. In
particular, in the general position, we obtain (i) a sufficient condition for
the existence of n edge-disjoint non-crossing perfect matchings in the general
position whose union is a maximal triangle-free geometric graph, and (ii) a
lower bound on the number of edge-disjoint non-crossing perfect matchings whose
union is a triangle free geometric graph.


title:
An Efficient Algorithm for Vertex Enumeration of Two-Dimensional
  Projection of Polytopes

abstract:
  An efficient algorithm to enumerate the vertices of a two-dimensional (2D)
projection of a polytope, is presented in this paper. The proposed algorithm
uses the support function of the polytope to be projected and enumerated for
vertices. The complexity of our algorithm is linear in the number of vertices
of the projected polytope and we show empirically that the performance is
significantly better in comparison to some known efficient algorithms of
projection and enumeration.


title:
Analytic Bounds and Emergence of $\textrm{AdS}_2$ Physics from the
  Conformal Bootstrap

abstract:
  We study analytically the constraints of the conformal bootstrap on the
low-lying spectrum of operators in field theories with global conformal
symmetry in one and two spacetime dimensions. We introduce a new class of
linear functionals acting on the conformal bootstrap equation. In 1D, we use
the new basis to construct extremal functionals leading to the optimal upper
bound on the gap above identity in the OPE of two identical primary operators
of integer or half-integer scaling dimension. We also prove an upper bound on
the twist gap in 2D theories with global conformal symmetry. When the external
scaling dimensions are large, our functionals provide a direct point of contact
between crossing in a 1D CFT and scattering of massive particles in large
$\textrm{AdS}_2$. In particular, CFT crossing can be shown to imply that
appropriate OPE coefficients exhibit an exponential suppression characteristic
of massive bound states, and that the 2D flat-space S-matrix should be analytic
away from the real axis.


title: A Data Fusion System to Study Synchronization in Social Activities

abstract:
  As the world population gets older, the healthcare system must be adapted,
among others by providing continuous health monitoring at home and in the city.
The social activities have a significant role in everyone health status. Hence,
this paper proposes a system to perform a data fusion of signals sampled on
several subjects during social activities. This study implies the time
synchronization of data coming from several sensors whether these are embedded
on people or integrated in the environment. The data fusion is applied to
several experiments including physical, cognitive and rest activities, with
social aspects. The simultaneous and continuous analysis of four subjects
cardiac activity and GPS coordinates provides a new way to distinguish
different collaborative activities comparing the measurements between the
subjects and along time.


title:
Optical properties of the optimally doped
  Ca$_{8.5}$La$_{1.5}$(Pt$_3$As$_8$)(Fe$_{2}$As$_{2}$)$_5$ single crystal

abstract:
  We have measured the reflectivity of the optimally doped
Ca$_{8.5}$La$_{1.5}$(Pt$_3$As$_8$)(Fe$_{10}$As$_{10}$) single crystal ($T_c$ =
32.8K) over the broad frequency range from 40 to 12000 $cm^{-1}$ and for
temperatures from 8 to 300 K. The optical conductivity spectra of the low
frequency region ($< 1,000$ $cm^{-1}$) in the normal state (80 K $< T \leq$ 300
K) is well fitted with two Drude forms, which indicates the presence of
multiple bands at the Fermi level. Decreasing temperature below 80 K, this low
frequency Drude spectra develops pseudogap (PG) hump structure at around
$\approx 100$ $cm^{-1}$ and continuously evolves into the fully opened
superconducting (SC) gap structure below $T_c$. Theoretical calculations of the
optical conductivity with the preformed Cooper pair model provide an excellent
description of the temperature evolution of the PG structure above $T_c$ into
the SC gap structure below $T_c$. The extracted two SC gap sizes are $\Delta_S$
= 4.9 $meV$ and $\Delta_L$ = 14.2 $meV$, suggesting
Ca$_{8.5}$La$_{1.5}$(Pt$_3$As$_8$)(Fe$_{10}$As$_{10}$) as a multiple gap
superconductor with a mixed character of the weak coupling and strong coupling
superconductivity.


title: Oscillating sources in a shear flow with a free surface

abstract:
  We report on progress on the free surface flow in the presence of submerged
oscillating line sources (2D) or point sources (3D) when a simple shear flow is
present varying linearly with depth. Such sources are in routine use as Green
functions in the realm of potential theory for calculating wave-body
interactions, but no such theory exists in for rotational flow. We solve the
linearized problem in 2D and 3D from first principles, based on the Euler
equations, when the sources are at rest relative to the undisturbed surface.
Both in 2D and 3D a new type of solution appears compared to irrotational case,
a critical layer-like flow whose surface manifestation ("wave") drifts
downstream from the source at the velocity of the flow at the source depth. We
analyse the additional vorticity in light of the vorticity equation and provide
a simple physical argument why a critical layer is a necessary consequence of
Kelvin's circulation theorem. In 3D a related critical layer phenomenon occurs
at every depth, whereby a street of counter-rotating vortices in the horizontal
plane drift downstream at the local flow velocity.


title: On the Decomposition of the Small Diagonal of a K3 Surface

abstract:
  We give a new proof of the theorem of Beauville and Voisin about the
decomposition of the small diagonal of a K3 surface S. Our proof is explicit
and works with the embedding of S in a projective space. It is different from
the one used by Beauville and Voisin, which employed the existence of
one-parameters families of elliptic curves.


title: Richard Dedekind: Brief an Keferstein / Letter to Keferstein

abstract:
  This is an edition of the famous letter by Richard Dedekind to H. Keferstein
dated 27 February 1890


title: QCD string in excited heavy-light mesons and heavy-quark hybrids

abstract:
  The QCD string model is employed to evaluate the masses of orbitally and
radially excited heavy-light mesons and lightest hybrids in the spectrum of
charmonium and bottomonium. The number of parameters of the model is reduced to
only seven which are the string tension, the two values of the strong coupling
constant (one for heavy-light and $\bar{c}c$ mesons and one for $\bar{b}b$
mesons), and the four overall spectrum shift constants which depend on the
quark contents of the particular meson or hybrid family. A few well-established
states in the spectrum of heavy-light and heavy-heavy mesons are used to fix
these parameters, and then the masses of other mesons and hybrids come out as
predictions of the model which are confronted with the existing experimental
data, and a few suggestions are made concerning yet not measured quantum
numbers of some states in the spectrum of charmonium and bottomonium.


title:
Influence of bidisperse self-assembled monolayer structure on the slip
  boundary condition of thin polymer films

abstract:
  Alkylsilane self-assembled monolayers (SAMs) are often used as model
substrates for their ease of preparation and hydrophobic properties. We have
observed that these atomically smooth monolayers also provide a slip boundary
condition for dewetting films composed of unentangled polymers. This slip
length, an indirect measure of the friction between a given liquid and
different solids, is switchable and can be increased [Fetzer et al., Phys. Rev.
Lett. 2005; B\"aumchen et al. J. Phys.: Cond. Matt. 2012] if the alkyl chain
length is changed from 18 to 12 backbone carbons, for example. Typically, this
change in boundary condition is affected in a quantized way, using one or the
other alkyl chain length, thus obtaining one or the other slip length. Here, we
present results in which this SAM structure is changed in a continuous way. We
prepare SAMs containing bidisperse mixed SAMs of alkyl silanes, with the
composition as a control parameter. We find that all the mixed SAMs we
investigated show an enhanced slip boundary condition as compared to the
single-component SAMs. The slip boundary condition is accessed using optical
and atomic force microscopy, and we describe these observations in the context
of X-ray reflectivity measurements. The slip length, varying over nearly two
orders of magnitude, of identical polymer melts on chemically similar SAMs is
found to correlate with the density of exposed alkyl chains. Our results
demonstrate the importance of a well characterized solid/liquid pair, down to
the angstrom level, when discussing friction between a liquid and a solid.


title: Stateless Computation

abstract:
  We present and explore a model of stateless and self-stabilizing distributed
computation, inspired by real-world applications such as routing on today's
Internet. Processors in our model do not have an internal state, but rather
interact by repeatedly mapping incoming messages ("labels") to outgoing
messages and output values. While seemingly too restrictive to be of interest,
stateless computation encompasses both classical game-theoretic notions of
strategic interaction and a broad range of practical applications (e.g.,
Internet protocols, circuits, diffusion of technologies in social networks). We
embark on a holistic exploration of stateless computation. We tackle two
important questions: (1) Under what conditions is self-stabilization, i.e.,
guaranteed "convergence" to a "legitimate" global configuration, achievable for
stateless computation? and (2) What is the computational power of stateless
computation? Our results for self-stabilization include a general necessary
condition for self-stabilization and hardness results for verifying that a
stateless protocol is self-stabilizing. Our main results for the power of
stateless computation show that labels of logarithmic length in the number of
processors yield substantial computational power even on ring topologies. We
present a separation between unidirectional and bidirectional rings (L/poly vs.
P/poly), reflecting the sequential nature of computation on a unidirectional
ring, as opposed to the parallelism afforded by the bidirectional ring. We
leave the reader with many exciting directions for future research.


title:
Uncertainties in primordial black-hole constraints on the primordial
  power spectrum

abstract:
  The existence (and abundance) of primordial black holes (PBHs) is governed by
the power spectrum of primordial perturbations generated during inflation. So
far no PBHs have been observed, and instead, increasingly stringent bounds on
their existence at different scales have been obtained. Up until recently, this
has been exploited in attempts to constrain parts of the inflationary power
spectrum that are unconstrained by cosmological observations. We first point
out that the simple translation of the PBH non-observation bounds into
constraints on the primordial power spectrum is inaccurate as it fails to
include realistic aspects of PBH formation and evolution. We then demonstrate,
by studying two examples of uncertainties from the effects of critical and
non-spherical collapse, that even though they may seem small, they have
important implications for the usefulness of the constraints. In particular, we
point out that the uncertainty induced by non-spherical collapse may be much
larger than the difference between particular bounds from PBH non-observations
and the general maximum cap stemming from the condition $\Omega \leq 1$ on the
dark-matter density in the form of PBHs. We therefore make the cautious
suggestion of applying only the overall maximum dark-matter constraint to
models of early Universe, as this requirement seems to currently provide a more
reliable constraint, which better reflects our current lack of detailed
knowledge of PBH formation. These, and other effects, such as merging,
clustering and accretion, may also loosen constraints from non-observations of
other primordial compact objects such as ultra-compact minihalos of dark
matter.


title:
Dispersive analysis of the $S$-, $P$-, $D$-, and $F$-wave $\pi\pi$
  amplitudes

abstract:
  A reanalysis of $\pi\pi$ amplitudes for all important partial-waves below
about 2 GeV is presented. A set of once subtracted dispersion relations with
imposed crossing symmetry condition is used to modify unitary multi-channel
amplitudes in the $S$, $P$, $D$, and $F$ waves. So far, these specific
amplitudes constructed in our works and many other analyzes have been fitted
only to experimental data and therefore do not fulfill the crossing symmetry
condition. In the present analysis, the self consistent, i.e. unitary and
fulfilling the crossing symmetry, amplitudes for the $S$, $P$, $D$, and $F$
waves are formed. The proposed very effective and simple method of modification
of the $\pi\pi$ amplitudes does not change their previous-original mathematical
structure and the method can be easily applied in various other analyzes.


title: Nonexistence of irrotational flow around solids with protruding corners

abstract:
  We motivate and discuss several recent results on non-existence of
irrotational inviscid flow around bounded solids that have two or more
protruding corners, complementing classical results for the case of a single
protruding corner. For a class of two-corner bodies including non-horizontal
flat plates, compressible subsonic flows do not exist. Regarding three or more
corners, bounded simple polygons do not admit compressible flows with
arbitrarily small Mach number, and any incompressible flow has unbounded
velocity at at least one corner. Finally, irrotational flow around smooth
protruding corners with non-vanishing velocity at infinity does not exist. This
can be considered vorticity generating by a slip-condition solid in absence of
viscosity.


title:
Finite-temperature fidelity and von Neumann entropy in the honeycomb
  spin lattice with quantum Ising interaction

abstract:
  The finite temperature phase diagram is obtained for an infinite honeycomb
lattice with spin-$1/2$ Ising interaction $J$ by using thermal-state fidelity
and von Neumann entropy based on the infinite projected entangled pair state
algorithm with ancillas. % The tensor network representation of the fidelity,
which is defined as an overlap measurement between two thermal states, is
presented for thermal states on the honeycomb lattice. % We show that the
fidelity per lattice site and the von Neumann entropy can capture the phase
transition temperatures for applied magnetic field, consistent with the
transition temperatures obtained via the transverse magnetizations, which
indicates that a continuous phase transition occurs in the system. In the
temperature-magnetic field plane, the phase boundary is found to have the
functional form $(k_BT_c)^2 + h_c^2/2 = a J^2$ with a single numerical fitting
coefficient $a = 2.298$, where $T_c$ and $h_c$ are the critical temperature and
field with the Boltzmann constant $k_B$. For the quantum state at zero
temperature, this phase boundary function gives the critical field estimate
$h_c = \sqrt{2a} J \simeq 2.1438 J$, consistent with the known value $h_c =
2.13250(4)\, J$ calculated from a Cluster Monte Carlo approach. The critical
temperature in the absence of magnetic field is estimated as $k_BT_c =
\sqrt{a}J \simeq 1.5159\, J$, consistent with the exact result $k_BT_c =
1.51865...\, J$.


title: Complex-valued Gaussian Process Regression for Time Series Analysis

abstract:
  The construction of synthetic complex-valued signals from real-valued
observations is an important step in many time series analysis techniques. The
most widely used approach is based on the Hilbert transform, which maps the
real-valued signal into its quadrature component. In this paper, we define a
probabilistic generalization of this approach. We model the observable
real-valued signal as the real part of a latent complex-valued Gaussian
process. In order to obtain the appropriate statistical relationship between
its real and imaginary parts, we define two new classes of complex-valued
covariance functions. Through an analysis of simulated chirplets and stochastic
oscillations, we show that the resulting Gaussian process complex-valued signal
provides a better estimate of the instantaneous amplitude and frequency than
the established approaches. Furthermore, the complex-valued Gaussian process
regression allows to incorporate prior information about the structure in
signal and noise and thereby to tailor the analysis to the features of the
signal. As a example, we analyze the non-stationary dynamics of brain
oscillations in the alpha band, as measured using magneto-encephalography.


title: Universality for quintessence

abstract:
  Several recent works suggested the possibility of describing inflation by
means of a renormalization group equation. In this paper we discuss the
application of these methods to models of quintessence. In this framework a
period of exponential expansion corresponds to the slow evolution of the scalar
field in the neighborhood of a fixed point. A minimal set of universality
classes for models of quintessence is defined and the transition from a matter
dominated to quintessence dominated universe is studied. Models in which
quintessence is non-minimally coupled with gravity are also discussed. We show
that the formalism proves to be extremely convenient to describe quintessence
and moreover we find that in most of the models discussed in this work
quintessence naturally takes over ordinary matter.


title: Impulse output rapid stabilization for heat equations

abstract:
  The main aim of this paper is to provide a new feedback law for the heat
equations in a bounded domain $\Omega $ with Dirichlet boundary condition. Two
constraints will be compulsory: First, The controls are active in a subdomain
of $\Omega $ and at discrete time points; Second, The observations are made in
another subdomain and at different discrete time points. Our strategy consists
in linking an observation estimate at one time, minimal norm impulse control,
approximate inverse source problem and rapid output stabilization.


title: Android Inter-App Communication Threats and Detection Techniques

abstract:
  With the digital breakthrough, smart phones have become very essential
component. Mobile devices are very attractive attack surface for cyber thieves
as they hold personal details (accounts, locations, contacts, photos) and have
potential capabilities for eavesdropping (with cameras/microphone, wireless
connections). Android, being the most popular, is the target of malicious
hackers who are trying to use Android app as a tool to break into and control
device. Android malware authors use many anti-analysis techniques to hide from
analysis tools. Academic researchers and commercial anti-malware companies are
putting great effort to detect such malicious apps. They are making use of the
combinations of static, dynamic and behavior based analysis techniques. Despite
of all the security mechanisms provided by Android, apps can carry out
malicious actions through collusion. In collusion malicious functionality is
divided across multiple apps. Each participating app accomplish its part and
communicate information to another app through Inter Component Communication
(ICC). ICC do not require any special permissions. Also, there is no compulsion
to inform user about the communication. Each participating app needs to request
a minimal set of privileges, which may make it appear benign to current
state-of-the-art techniques that analyze one app at a time. There are many
surveys on app analysis techniques in Android; however they focus on single-app
analysis. This survey augments this through focusing only on collusion among
multiple-apps. In this paper, we present Android vulnerabilities that may be
exploited for a possible collusion attack. We cover the existing threat
analysis, scenarios, and a detailed comparison of tools for intra and inter-app
analysis. To the best of our knowledge this is the first survey on app
collusion and state-of-the-art detection tools in Android.


title:
Non-perturbative aspects of Euclidean Yang-Mills theories in linear
  covariant gauges: Nielsen identities and a BRST invariant two-point
  correlation function

abstract:
  In order to construct a gauge invariant two-point function in a Yang-Mills
theory, we propose the use of the all-order gauge invariant transverse
configurations A^h. Such configurations can be obtained through the
minimization of the functional A^2_{min} along the gauge orbit within the BRST
invariant formulation of the Gribov-Zwanziger framework recently put forward in
[1,2] for the class of the linear covariant gauges. This correlator turns out
to provide a characterization of non-perturbative aspects of the theory in a
BRST invariant and gauge parameter independent way. In particular, it turns out
that the poles of <A^h A^h> are the same as those of the transverse part of the
gluon propagator, which are also formally shown to be independent of the gauge
parameter entering the gauge condition through the Nielsen identities. The
latter follow from the new exact BRST invariant formulation introduced before.
Moreover, the correlator <A^h A^h> enables us to attach a BRST invariant
meaning to the possible positivity violation of the corresponding temporal
Schwinger correlator, giving thus for the first time a consistent, gauge
parameter independent, setup to adopt the positivity violation of <A^h A^h> as
a signature for gluon confinement. Finally, in the context of gauge theories
supplemented with a fundamental Higgs field, we use <A^h A^h> to probe the pole
structure of the massive gauge boson in a gauge invariant fashion.


title: How to measure the topological quality of protein grammars?

abstract:
  Context-free and context-sensitive formal grammars are often regarded as more
appropriate to model proteins than regular level models such as finite state
automata and Hidden Markov Models. In theory, the claim is well founded in the
fact that many biologically relevant interactions between residues of protein
sequences have a character of nested or crossed dependencies. In practice,
there is hardly any evidence that grammars of higher expressiveness have an
edge over old good HMMs in typical applications including recognition and
classification of protein sequences. This is in contrast to RNA modeling, where
CFG power some of the most successful tools. There have been proposed several
explanations of this phenomenon. On the biology side, one difficulty is that
interactions in proteins are often less specific and more "collective" in
comparison to RNA. On the modeling side, a difficulty is the larger alphabet
which combined with high complexity of CF and CS grammars imposes considerable
trade-offs consisting on information reduction or learning sub-optimal
solutions. Indeed, some studies hinted that CF level of expressiveness brought
an added value in protein modeling when CF and regular grammars where
implemented in the same framework. However, there have been no systematic study
of explanatory power provided by various grammatical models. The first step to
this goal is define objective criteria of such evaluation. Intuitively, a
decent explanatory grammar should generate topology, or the parse tree,
consistent with topology of the protein, or its secondary and/or tertiary
structure. In this piece of research we build on this intuition and propose a
set of measures to compare topology of the parse tree of a grammar with
topology of the protein structure.


title: Mott-Hubbard transition in the mass-imbalanced Hubbard model

abstract:
  The mass-imbalanced Hubbard model represents a continuous evolution from the
Hubbard to the Falicov-Kimball model. We employ dynamical mean field theory and
study the paramagnetic metal-insulator transition, which has a very different
nature for the two limiting models. Our results indicate that the
metal-insulator transition rather resembles that of the Hubbard model as soon
as a tiny hopping between the more localized fermions is switched on. At low
temperatures we observe a first-order metal-insulator transition and a three
peak structure. The width of the central peak is the same for the more and less
mobile fermions when approaching the phase transition, which agrees with our
expectation of a common Kondo temperature and phase transition for the two
species.


title: Wider or Deeper: Revisiting the ResNet Model for Visual Recognition

abstract:
  The trend towards increasingly deep neural networks has been driven by a
general observation that increasing depth increases the performance of a
network. Recently, however, evidence has been amassing that simply increasing
depth may not be the best way to increase performance, particularly given other
limitations. Investigations into deep residual networks have also suggested
that they may not in fact be operating as a single deep network, but rather as
an ensemble of many relatively shallow networks. We examine these issues, and
in doing so arrive at a new interpretation of the unravelled view of deep
residual networks which explains some of the behaviours that have been observed
experimentally. As a result, we are able to derive a new, shallower,
architecture of residual networks which significantly outperforms much deeper
models such as ResNet-200 on the ImageNet classification dataset. We also show
that this performance is transferable to other problem domains by developing a
semantic segmentation approach which outperforms the state-of-the-art by a
remarkable margin on datasets including PASCAL VOC, PASCAL Context, and
Cityscapes. The architecture that we propose thus outperforms its comparators,
including very deep ResNets, and yet is more efficient in memory use and
sometimes also in training time. The code and models are available at
https://github.com/itijyou/ademxapp


title:
Asymptotic behavior of solutions of a free boundary problem modeling
  tumor spheroid with Gibbs-Thomson relation

abstract:
  In this paper we study a free boundary problem modeling the growth of solid
tumor spheroid. It consists of two elliptic equations describing nutrient
diffusion and pressure distribution within tumor, respectively. The new feature
is that nutrient concentration on the boundary is less than external supply due
to a Gibbs-Thomson relation and the problem has two radial stationary
solutions, which differs from widely studied tumor spheroid model with surface
tension effect. We first establish local well-posedness by using a functional
approach based on Fourier multiplier method and analytic semigroup theory. Then
we investigate stability of each radial stationary solution. By employing a
generalized principle of linearized stability, we prove that the radial
stationary solution with a smaller radius is always unstable, and there exists
a positive threshold value $\gamma_*$ of cell-to-cell adhesiveness $\gamma$,
such that the radial stationary solution with a larger radius is asymptotically
stable for $\gamma>\gamma_*$, and unstable for $0<\gamma<\gamma_*$.


title: Alan Dow

abstract: On the occasion of Alan Dow 60th birthday.


title:
Global Transonic Solutions to Combined Fanno Rayleigh Flows Through
  Variable Nozzles

abstract:
  In this paper, we study the initial-boundary value problem of compressible
Euler equations with friction and heating that model the combined
Fanno-Rayleigh flows through symmetric variable area nozzles, in particular,
the case of contracting nozzles is considered. A new version of a generalized
Glimm scheme (GGS) is presented for establishing the global existence of
transonic entropy solutions. Modified Riemann and boundary Riemann solutions
are applied to design this GGS which obtained by the contraction matrices
acting on the homogeneous Riemann (or boundary-Riemann) solutions. The extended
Glimm-Goodman wave interaction estimates are investigated for ensuring the
stability of the scheme and the positivity of gas velocity that leads to the
existence of the weak solution. The limit of approximation solutions serves as
an entropy solution. Moreover, a quantitative relation between the shape of the
nozzle, the friction, and the heat is proposed. Under this relation, the global
existence of weak solution for contracting nozzle is achieved. Simulations of
contraction-expansion and expansion-contraction nozzles are presented to
illustrate the relevant theoretical results.


title:
Spatio-temporal second-order quantum correlations of surface plasmon
  polaritons

abstract:
  We present an experimental methodology to observe spatio-temporal
second-order quantum coherence of surface plasmon polaritons which are emitted
by nitrogen vacancy color centers attached at the apex of an optical tip. The
approach relies on leakage radiation microscopy in the Fourier space and we use
this approach to test wave-particle duality for surface plasmon polaritons.


title:
The sub-galactic and nuclear main sequences for local star-forming
  galaxies

abstract:
  We describe a sub-galactic main sequence (SGMS) relating star formation rate
surface density ($\Sigma_{\textrm{SFR}}$) and stellar mass density
($\Sigma_{\star}$) for distinct regions within star forming galaxies, including
their nuclei. We use a sample of 246 nearby star-forming galaxies from the
"Star Formation Reference Survey" and demonstrate that the SGMS holds down to $
\sim $1 kpc scales with a slope of $\alpha=0.91$ and a dispersion of 0.31 dex,
similar to the well-known main sequence (MS) measured for globally integrated
star formation rates (SFRs) and stellar masses. The SGMS slope depends on
galaxy morphology, with late-type galaxies (Sc$-$Irr) having $\alpha = 0.97$
and early-type spirals (Sa$-$Sbc) having $\alpha = 0.81$. The SGMS constructed
from sub-regions of individual galaxies has on average the same characteristics
as the composite SGMS from all galaxies. The SGMS for galaxy nuclei shows a
dispersion similar to that seen for other sub-regions. Sampling a limited range
of SFR$-$M$_{\star} $ space may produce either sub-linearity or super-linearity
of the SGMS slope. For nearly all galaxies, both SFR and stellar mass peak in
the nucleus, indicating that circumnuclear clusters are among the most actively
star-forming regions in the galaxy and the most massive. The nuclear SFR also
correlates with total galaxy mass, forming a distinct sequence from the
standard MS of star-formation. The nuclear main sequence will be useful for
studying bulge growth and for characterizing feedback processes connecting AGN
and star formation.


title: The 3D Lima\c{c}on: Properties and Applications

abstract:
  We perform electromagnetic wave simulations of fully three-dimensional
optical Lima\c{c}on-microcavities, one basis for their future applications in
microlasers and photonic devices. The analysis of the three-dimensional modes
and far-fields reveals an increase of the quality factors as compared to the
two-dimensional case. The structure of the far-field in the third dimension
shows pronounced maxima in the emission directionality inclined to the
resonator plane which may be exploited for coupling the resonator modes to the
environment. This triggers ideas for technical applications, like the suggested
sensor that can detect small changes in the environment based on changes in the
emission profile.


title: 1-out-of-2 Oblivious transfer using flawed Bit-string quantum protocol

abstract:
  Oblivious transfer (OT) is an important tool in cryptography. It serves as a
subroutine to other complex procedures of both theoretical and practical
significance. Common attribute of OT protocols is that one party (Alice) has to
send a message to another party (Bob) and has to stay oblivious on whether Bob
did receive the message. Specific (OT) protocols vary by exact definition of
the task - in the all-or-nothing protocol Alice sends a single bit-string
message, which Bob is able to read only with 50% probability, whereas in
1-out-of-2 OT protocol Bob reads one out of two messages sent by Alice. These
two flavours of protocol are known to be equivalent. Recently a computationally
secure all-or-nothing OT protocol based on quantum states was developed in [A.
Souto et. al., PRA 91, 042306], which however cannot be reduced to 1-out-of-2
OT protocol by standard means. Here we present an elaborated reduction of this
protocol which retains the security of the original.


title:
On Binary de Bruijn Sequences from LFSRs with Arbitrary Characteristic
  Polynomials

abstract:
  We propose a construction of de Bruijn sequences by the cycle joining method
from linear feedback shift registers (LFSRs) with arbitrary characteristic
polynomial $f(x)$. We study in detail the cycle structure of the set
$\Omega(f(x))$ that contains all sequences produced by a specific LFSR on
distinct inputs and provide a fast way to find a state of each cycle. This
leads to an efficient algorithm to find all conjugate pairs between any two
cycles, yielding the adjacency graph. The approach is practical to generate a
large class of de Bruijn sequences up to order $n \approx 20$. Many previously
proposed constructions of de Bruijn sequences are shown to be special cases of
our construction.


title: Lakshmibai-Seshadri paths and non-symmetric Cauchy identity

abstract:
  We give a simple crystal theoretic interpretation of the Lascoux's expansion
of a non-symmetric Cauchy kernel $\prod_{i+ j\leq n+1}(1-x_iy_j)^{-1}$, which
is given in terms of Demazure characters and atoms. We give a bijective proof
of the non-symmetric Cauchy identity using the crystal of Lakshmibai-Seshadri
paths, and extend it to the case of continuous crystals.


title: Long-range correlations in ALICE at the LHC

abstract:
  Long-range correlations between particles separated by a pseudorapidity gap
are a powerful tool to explore the initial stages and evolution of the medium
created in hadron-hadron collisions. An overview of the long-range correlations
measured by the ALICE detector in pp, p-Pb and Pb-Pb will be presented. This
includes analyses of forward-backward, two- and multi-particle correlations
with the use of the central barrel and forward detectors.