title: Entanglement Entropy in a Non-Conformal Background

abstract:
  We use gauge-gravity duality to compute entanglement entropy in a
non-conformal background with an energy scale $\Lambda$. At zero temperature,
we observe that entanglement entropy decreases by raising $\Lambda$. However,
at finite temperature, we realize that both $\frac{\Lambda}{T}$ and
entanglement entropy rise together. Comparing entanglement entropy of the
non-conformal theory, $S_{A(N)}$, and of its conformal theory at the $UV$
limit, $ S_{A(C)}$, reveals that $S_{A(N)}$ can be larger or smaller than
$S_{A(C)}$, depending on the value of $\frac{\Lambda}{T}$.


title:
Spectrum of large random Markov chains: heavy-tailed weights on the
  oriented complete graph

abstract:
  We consider the random Markov matrix obtained by assigning i.i.d.
non-negative weights to each edge of the complete oriented graph. In this
study, the weights have unbounded first moment and belong to the domain of
attraction of an alpha-stable law. We prove that as the dimension tends to
infinity, the empirical measure of the singular values tends to a probability
measure which depends only on alpha, characterized as the expected value of the
spectral measure at the root of a weighted random tree. The latter is a
generalized two-stage version of the Poisson weighted infinite tree (PWIT)
introduced by David Aldous. Under an additional smoothness assumption, we show
that the empirical measure of the eigenvalues tends to a non-degenerate
isotropic probability measure depending only on alpha and supported on the unit
disc of the complex plane. We conjecture that the limiting support is actually
formed by a strictly smaller disc.


title: Diffeomorphisms of quantum fields

abstract:
  We study field diffeomorphisms $\Phi(x)=
F(\rho(x))=a_0\rho(x)+a_1\rho^2(x)+\ldots=\sum_{j+0}^\infty a_j \rho^{j+1}$,
for free and interacting quantum fields $\Phi$. We find that the theory is
invariant under such diffeomorphisms if and only if kinematic renormalization
schemes are used.


title:
What are teachers interested in toward educational examples? A study of
  trainees' use of video-enhanced resources

abstract:
  This article reports on a case study on teachers' video-enhanced education.
Considering the fact that video exemplification is a thriving practice in the
field although there is little consensus in the literature regarding its
instructional issues, it seems appropriate to focus on the activity carried out
by teachers in video-enhanced devices in order to identify promising
characteristics (nature of the examples, types of associations between them,
documentation methods, organization and scenarization, etc.). This study
involved six trainees who used, during two sessions of 45 minutes, a digital
device based on a " pedagogy of typical professional paths " (Durand, 2014; Ria
\& Leblanc, 2011). The goal was to better understand their use of video
exemplification and sense-making. The results indicate that student teachers
(i) preferentially target resources about "economic rules"; (ii) plebiscite
classroom situations, always consulted; (iii) are particularly interested (even
if they are sometimes disappointed) in the experts' testimonies; (iv) initially
show a distrust toward resources assumed to be theoretical; (v) get gradually
interested in these resources during the second session. We conclude with
several empirical and technological prospects for the design of video-enhanced
devices for teacher induction.


title: Tutte Polynomials for Directed Graphs

abstract:
  The Tutte polynomial is a fundamental invariant of graphs. In this article,
we define and study a generalization of the Tutte polynomial for directed
graphs, that we name B-polynomial. The B-polynomial has three variables, but
when specialized to the case of graphs (that is, digraphs where arcs come in
pairs with opposite directions), one of the variables becomes redundant and the
B-polynomial is equivalent to the Tutte polynomial. We explore various
properties, expansions, specializations, and generalizations of the
B-polynomial, and try to answer the following questions: 1. what properties of
the digraph can be detected from its B-polynomial (acyclicity, length of paths,
number of strongly connected components, etc.)? 2. which of the marvelous
properties of the Tutte polynomial carry over to the directed graph setting?
The B-polynomial generalizes the strict chromatic polynomial of mixed graphs
introduced by Beck, Bogart and Pham. We also consider a quasisymmetric function
version of the B-polynomial which simultaneously generalizes the Tutte
symmetric function of Stanley and the quasisymmetric chromatic function of
Shareshian and Wachs.


title:
Can Tonne-Scale Direct Detection Experiments Discover Nuclear Dark
  Matter?

abstract:
  Models of nuclear dark matter propose that the dark sector contains large
composite states consisting of dark nucleons in analogy to Standard Model
nuclei. We examine the direct detection phenomenology of a particular class of
nuclear dark matter model at the current generation of tonne-scale liquid noble
experiments, in particular DEAP-3600 and XENON1T. In our chosen nuclear dark
matter scenario distinctive features arise in the recoil energy spectra due to
the non-point-like nature of the composite dark matter state. We calculate the
number of events required to distinguish these spectra from those of a standard
point-like WIMP state with a decaying exponential recoil spectrum. In the most
favourable regions of nuclear dark matter parameter space, we find that a few
tens of events are needed to distinguish nuclear dark matter from WIMPs at the
$3\,\sigma$ level in a single experiment. Given the total exposure time of
DEAP-3600 and XENON1T we find that at best a $2\,\sigma$ distinction is
possible by these experiments individually, while $3\,\sigma$ sensitivity is
reached for a range of parameters by the combination of the two experiments. We
show that future upgrades of these experiments have potential to distinguish a
large range of nuclear dark matter models from that of a WIMP at greater than
$3\,\sigma$.


title:
A consistent retrieval analysis of 10 Hot Jupiters observed in
  transmission

abstract:
  We present a consistent optimal estimation retrieval analysis of ten hot
Jupiter exoplanets, each with transmission spectral data spanning the visible
to near-infrared wavelength range. Using the NEMESIS radiative transfer and
retrieval tool, we calculate a range of possible atmospheric states for
WASP-6b, WASP-12b, WASP-17b, WASP-19b, WASP-31b, WASP-39b, HD 189733b, HD
209458b, HAT-P-1b and HAT-P-12b. We find that the spectra of all ten planets
are consistent with the presence of some atmospheric aerosol; WASP-6b,
WASP-12b, WASP-17b, WASP-19b, HD 189733b and HAT-P-12b are all fit best by
Rayleigh scattering aerosols, whereas WASP-31b, WASP-39b and HD 209458b are
better represented by a grey cloud model. HAT-P-1b has solutions that fall into
both categories. WASP-6b, HAT-P-12b, HD 189733b and WASP-12b must have aerosol
extending to low atmospheric pressures (below 0.1 mbar). In general, planets
with equilibrium temperatures between 1300 and 1700 K are best represented by
deeper, grey cloud layers, whereas cooler or hotter planets are better fit
using high Rayleigh scattering aerosol. We find little evidence for the
presence of molecular absorbers other than H$_2$O. Retrieval methods can
provide a consistent picture across a range of hot Jupiter atmospheres with
existing data, and will be a powerful tool for the interpretation of James Webb
Space Telescope observations.


title: A free product pair rigidity result in von Neumann algebras

abstract:
  We prove that the free product pair of any finitely many copies of the unique
amenable type III$_1$ factor endowed with weakly mixing states remembers the
number of free components and the given states.


title:
NNLO QCD corrections for Drell-Yan $p_T^Z$ and $\phi^*$ observables at
  the LHC

abstract:
  Drell-Yan lepton pairs with finite transverse momentum are produced when the
vector boson recoils against (multiple) parton emission(s), and is determined
by QCD dynamics. At small transverse momentum, the fixed order predictions
break down due to the emergence of large logarithmic contributions. This region
can be studied via the $p_T^Z$ distribution constructed from the energies of
the leptons, or through the $\phi^*$ distribution that relies on the directions
of the leptons. For sufficiently small transverse momentum, the $\phi^*$
observable can be measured experimentally with better resolution. We study the
small $p_T^Z$ and $\phi^*$ distributions up to next-to-next-to-leading order
(NNLO) in perturbative QCD. We compute the $\phi^*$ distributions for the fully
inclusive production of lepton pairs via $Z/\gamma^*$ to NNLO and normalise
them to the NNLO cross sections for inclusive $Z/\gamma^*$ production. We
compare our predictions with the $\phi^*$ distribution measured by the ATLAS
collaboration during LHC operation at 8 TeV. We find that at moderate to large
values of $\phi^*$, the NNLO effects are positive and lead to a substantial
improvement in the theory-data comparison compared to next-to-leading order
(NLO). At small values of $p_T^Z$ and $\phi^*$, the known large logarithmic
enhancements emerge through and we identify the region where resummation is
needed. We find an approximate relationship between the values of $p_T^Z$ and
$\phi^*$ where the large logarithms emerge and find perturbative consistency
between the two observables.


title:
GRB 110715A: The peculiar multiwavelength evolution of the first
  afterglow detected by ALMA

abstract:
  We present the extensive follow-up campaign on the afterglow of GRB 110715A
at 17 different wavelengths, from X-ray to radio bands, starting 81 seconds
after the burst and extending up to 74 days later. We performed for the first
time a GRB afterglow observation with the ALMA observatory. We find that the
afterglow of GRB 110715A is very bright at optical and radio wavelengths. We
use optical and near infrared spectroscopy to provide further information about
the progenitor's environment and its host galaxy. The spectrum shows weak
absorption features at a redshift z = 0.8225, which reveal a host galaxy
environment with low ionization, column density and dynamical activity. Late
deep imaging shows a very faint galaxy, consistent with the spectroscopic
results. The broadband afterglow emission is modelled with synchrotron
radiation using a numerical algorithm and we determine the best fit parameters
using Bayesian inference in order to constrain the physical parameters of the
jet and the medium in which the relativistic shock propagates. We fitted our
data with a variety of models, including different density profiles and energy
injections. Although the general behaviour can be roughly described by these
models, none of them are able to fully explain all data points simultaneously.
GRB 110715A shows the complexity of reproducing extensive multi-wavelength
broadband afterglow observations, and the need of good sampling in wavelength
and time and more complex models to accurately constrain the physics of GRB
afterglows.


title: A phase transition in a Curie-Weiss system with binary interactions

abstract:
  A single-sort continuum Curie-Weiss system of interacting particles is
studied. The particles are placed in the space $\mathbb{R}^d$ divided into
congruent cubic cells. For a region $V\subset \mathbb{R}^d$ consisting of $N\in
\mathbb{N}$ cells, every two particles contained in $V$ attract each other with
intensity $J_1/N$. The particles contained in the same cell are subjected to
binary repulsion with intensity $J_2>J_1$. For fixed values of the temperature,
the interaction intensities, and the chemical potential the thermodynamic phase
is defined as a probability measure on the space of occupation numbers of
cells, determined by a condition typical of Curie-Weiss theories. It is proved
that the half-plane $J_1\,\times\,$\textit{chemical potential} contains phase
coexistence points at which there exist two thermodynamic phases of the system.
An equation of state for this system is obtained.


title:
A Convex Decomposition Formula for the Mumford-Shah Functional in
  Dimension One

abstract:
  We study the convex lift of Mumford-Shah type functionals in the space of
rectifiable currents and we prove a generalized coarea formula in dimension
one, for finite linear combinations of SBV graphs. We use this result to prove
the equivalence between the minimum problems for the Mumford-Shah functional
and the lifted one and, as a consequence, we obtain a weak existence result for
calibrations in one dimension.


title:
Quantum probabilities and the Born rule in the intuitionistic
  interpretation of quantum mechanics

abstract:
  This paper presents a novel explanation of the cause of quantum probabilities
and the Born rule based on the intuitionistic interpretation of quantum
mechanics where propositions obey constructive (intuitionistic) logic. The use
of constructive logic makes it possible (through a replacement of the concept
of truth with the concept of constructive probability) to abandon the law of
excluded middle in the intuitionistic interpretation.


title:
Automorphisms for Some "symmetric" Multiparameter Quantized Weyl
  Algebras and Their Localizations

abstract:
  In this paper, we study the algebra automorphisms and isomorphisms for a
family of "symmetric" multiparameter quantized Weyl algebras $\A$ and some
related algebras in the generic case. First, we compute the Nakayama
automorphism for $\A$ and give a necessary and sufficient condition for $\A$ to
be Calabi-Yau. We also prove that $\A$ is cancellative. Then we determine the
automorphism group for $\A$ and its polynomial extension $\E$. As an
application, we solve the isomorphism problem for $\{\A\}$ and $\{\E\}$.
Similar results will be established for the Maltisiniotis multiparameter
quantized Weyl algebra $\B$ and its polynomial extension $\F$. In addition, we
prove a quantum analogue of the Dixmier conjecture for a simple localization
$(\A)_{\mathcal{Z}}$ of $\A$. Moreover, we will completely determine the
algebra automorphism group for $(\A)_{\mathcal{Z}}$.


title:
Assessing directionality and strength of coupling through symbolic
  analysis: an application to epilepsy patients

abstract:
  Inferring strength and direction of interactions from electroencephalographic
(EEG) recordings is of crucial importance to improve our understanding of
dynamical interdependencies underlying various physiologic and pathophysiologic
conditions in the human epileptic brain. We here use approaches from symbolic
analysis to investigate---in a time-resolved manner---weighted and directed,
short- to long-ranged interactions between various brain regions constituting
the epileptic network. Our observations point to complex spatial-temporal
interdependencies underlying the epileptic process and their role in the
generation of epileptic seizures, despite the massive reduction of the complex
information content of multi-day, multi-channel EEG recordings through
symbolisation. We discuss limitations and potential future improvements of this
approach.


title:
Observations on interpolation by total degree polynomials in two
  variables

abstract:
  In contrast to the univariate case, interpolation with polynomials of a given
maximal total degree is not always possible even if the number of interpolation
points and the space dimension coincide. Due to that, numerous constructions
for interpolation sets have been devised, the most popular ones being based on
intersections of lines. In this paper, we study algebraic properties of some
such interpolation configurations, namely the approaches by Radon-Berzolari and
Chung-Yao. By means of proper H-bases for the vanishing ideal of the
configuration, we derive properties of the matrix of first syzygies of this
ideal which allow us to draw conclusions on the geometry of the point
configuration.


title:
An application of coincidence degree theory to cyclic feedback type
  systems associated with nonlinear differential operators

abstract:
  Using Mawhin's coincidence degree theory, we obtain some new continuation
theorems which are designed to have as a natural application the study of the
periodic problem for cyclic feedback type systems. We also discuss some
examples of vector ordinary differential equations with a $\phi$-Laplacian
operator where our results can be applied.


title: Compressive Imaging with Iterative Forward Models

abstract:
  We propose a new compressive imaging method for reconstructing 2D or 3D
objects from their scattered wave-field measurements. Our method relies on a
novel, nonlinear measurement model that can account for the multiple scattering
phenomenon, which makes the method preferable in applications where linear
measurement models are inaccurate. We construct the measurement model by
expanding the scattered wave-field with an accelerated-gradient method, which
is guaranteed to converge and is suitable for large-scale problems. We provide
explicit formulas for computing the gradient of our measurement model with
respect to the unknown image, which enables image formation with a sparsity-
driven numerical optimization algorithm. We validate the method both
analytically and with numerical simulations.


title: $GW$100: a plane wave perspective for small molecules

abstract:
  In a recent work, van Setten and coworkers have presented a carefully
converged $G_0W_0$ study of 100 closed shell molecules [J. Chem. Theory Comput.
11, 5665 (2015)]. For two different codes they found excellent agreement to
within few 10 meV if identical Gaussian basis sets were used. We inspect the
same set of molecules using the projector augmented wave method and the Vienna
ab initio simulation package (VASP). For the ionization potential, the basis
set extrapolated plane wave results agree very well with the Gaussian basis
sets, often reaching better than 50 meV agreement. In order to achieve this
agreement, we correct for finite basis set errors as well as errors introduced
by periodically repeated images. For electron affinities below the vacuum level
differences between Gaussian basis sets and VASP are slightly larger. We
attribute this to larger basis set extrapolation errors for the Gaussian basis
sets. For quasi particle (QP) resonances above the vacuum level, differences
between VASP and Gaussian basis sets are, however, found to be substantial.
This is tentatively explained by insufficient basis set convergence of the
Gaussian type orbital calculations as exemplified for selected test cases.


title:
Do They All Look the Same? Deciphering Chinese, Japanese and Koreans by
  Fine-Grained Deep Learning

abstract:
  We study to what extend Chinese, Japanese and Korean faces can be classified
and which facial attributes offer the most important cues. First, we propose a
novel way of obtaining large numbers of facial images with nationality labels.
Then we train state-of-the-art neural networks with these labeled images. We
are able to achieve an accuracy of 75.03% in the classification task, with
chances being 33.33% and human accuracy 38.89% . Further, we train multiple
facial attribute classifiers to identify the most distinctive features for each
group. We find that Chinese, Japanese and Koreans do exhibit substantial
differences in certain attributes, such as bangs, smiling, and bushy eyebrows.
Along the way, we uncover several gender-related cross-country patterns as
well. Our work, which complements existing APIs such as Microsoft Cognitive
Services and Face++, could find potential applications in tourism, e-commerce,
social media marketing, criminal justice and even counter-terrorism.


title: An alternative construction for the Type-II defect matrix for sshG

abstract:
  In this paper we construct a Type-II defect (super) matrix for the
supersymmetric sinh-Gordon model as a product of two Type-I defect (super)
matrices. We also show that the resulting defect matrix corresponds to a fused
defect.


title: The sinh-Gordon defect matrix generalized for n defects

abstract:
  In this paper we obtain a general expression for the n-defect matrix for the
sinh-Gordon model. This in turn generate the general B\"acklund transformations
(BT) for a system with $n$ type-I defects, through a gauge transformation.


title:
Go With the Flow, on Jupiter and Snow. Coherence From Model-Free Video
  Data without Trajectories

abstract:
  Viewing a data set such as the clouds of Jupiter, coherence is readily
apparent to human observers, especially the Great Red Spot, but also other
great storms and persistent structures. There are now many different
definitions and perspectives mathematically describing coherent structures, but
we will take an image processing perspective here. We describe an image
processing perspective inference of coherent sets from a fluidic system
directly from image data, without attempting to first model underlying flow
fields, related to a concept in image processing called motion tracking. In
contrast to standard spectral methods for image processing which are generally
related to a symmetric affinity matrix, leading to standard spectral graph
theory, we need a not symmetric affinity which arises naturally from the
underlying arrow of time. We develop an anisotropic, directed diffusion
operator corresponding to flow on a directed graph, from a directed affinity
matrix developed with coherence in mind, and corresponding spectral graph
theory from the graph Laplacian. Our methodology is not offered as more
accurate than other traditional methods of finding coherent sets, but rather
our approach works with alternative kinds of data sets, in the absence of
vector field. Our examples will include partitioning the weather and cloud
structures of Jupiter, and a local to Potsdam, N.Y. lake-effect snow event on
Earth, as well as the benchmark test double-gyre system.


title:
A Robust Framework for Classifying Evolving Document Streams in an
  Expert-Machine-Crowd Setting

abstract:
  An emerging challenge in the online classification of social media data
streams is to keep the categories used for classification up-to-date. In this
paper, we propose an innovative framework based on an Expert-Machine-Crowd
(EMC) triad to help categorize items by continuously identifying novel concepts
in heterogeneous data streams often riddled with outliers. We unify constrained
clustering and outlier detection by formulating a novel optimization problem:
COD-Means. We design an algorithm to solve the COD-Means problem and show that
COD-Means will not only help detect novel categories but also seamlessly
discover human annotation errors and improve the overall quality of the
categorization process. Experiments on diverse real data sets demonstrate that
our approach is both effective and efficient.


title:
Vector spaces of linearizations for matrix polynomials: a bivariate
  polynomial approach

abstract:
  We revisit the landmark paper [D. S. Mackey, N. Mackey, C. Mehl, and V.
Mehrmann, SIAM J. Matrix Anal. Appl., 28 (2006), pp.~971--1004] and, by viewing
matrices as coefficients for bivariate polynomials, we provide concise proofs
for key properties of linearizations for matrix polynomials. We also show that
every pencil in the double ansatz space is intrinsically connected to a
B\'{e}zout matrix, which we use to prove the eigenvalue exclusion theorem. In
addition our exposition allows for any polynomial basis and for any field. The
new viewpoint also leads to new results. We generalize the double ansatz space
by exploiting its algebraic interpretation as a space of B\'{e}zout pencils to
derive new linearizations with potential applications in the theory of
structured matrix polynomials. Moreover, we analyze the conditioning of double
ansatz space linearizations in the important practical case of a Chebyshev
basis.


title: Distortion Varieties

abstract:
  The distortion varieties of a given projective variety are parametrized by
duplicating coordinates and multiplying them with monomials. We study their
degrees and defining equations. Exact formulas are obtained for the case of
one-parameter distortions. These are based on Chow polytopes and Gr\"obner
bases. Multi-parameter distortions are studied using tropical geometry. The
motivation for distortion varieties comes from multi-view geometry in computer
vision. Our theory furnishes a new framework for formulating and solving
minimal problems for camera models with image distortion.


title:
Efficient Best-Response Computation for Strategic Network Formation
  under Attack

abstract:
  Inspired by real world examples, e.g. the Internet, researchers have
introduced an abundance of strategic games to study natural phenomena in
networks. Unfortunately, almost all of these games have the conceptual drawback
of being computationally intractable, i.e. computing a best response strategy
or checking if an equilibrium is reached is NP-hard. Thus, a main challenge in
the field is to find tractable realistic network formation models.
  We address this challenge by investigating a very recently introduced model
by Goyal et al. [WINE'16] which focuses on robust networks in the presence of a
strong adversary who attacks (and kills) nodes in the network and lets this
attack spread virus-like to neighboring nodes and their neighbors. Our main
result is to establish that this natural model is one of the few exceptions
which are both realistic and computationally tractable. In particular, we
answer an open question of Goyal et al. by providing an efficient algorithm for
computing a best response strategy, which implies that deciding whether the
game has reached a Nash equilibrium can be done efficiently as well. Our
algorithm essentially solves the problem of computing a minimal connection to a
network which maximizes the reachability while hedging against severe attacks
on the network infrastructure and may thus be of independent interest.


title: A graphical calculus for the Jack inner product on symmetric functions

abstract:
  Starting from a graded Frobenius superalgebra $B$, we consider a graphical
calculus of $B$-decorated string diagrams. From this calculus we produce
algebras consisting of closed planar diagrams and of closed annular diagrams.
The action of annular diagrams on planar diagrams can be used to make clockwise
(or counterclockwise) annular diagrams into an inner product space. Our main
theorem identifies this space with the space of symmetric functions equipped
with the Jack inner product at Jack parameter $\operatorname{dim}
B_\mathrm{even} - \operatorname{dim} B_\mathrm{odd}$. In this way, we obtain a
graphical realization of that inner product space.


title: On Stanley's theorem and its Generalizations

abstract:
  In this paper we go on to discuss about Stanley's theorem in Integer
partitions. We give two different versions for the proof of the generalization
of Stanley's theorem illustrating different techniques that may be applied to
profitably understand the underlying structure behind the theorem.


title:
Chiral magnetic effect and Maxwell-Chern-Simons electrodynamics in Weyl
  semimetals

abstract:
  The Weyl semimetal, due to a non-zero energy difference in the pair of Weyl
nodes shows chiral magnetic effect(CME). This leads to a flow of
dissipationless electric current along an applied magnetic field. Such a chiral
magnetic effect in Weyl semimetals has been studied using the laws of classical
electrodynamics. It has been shown that the CME in a such a semimetal changes
the properties namely, frequency dependent skin depth, capacitive transport,
plasma frequency etc. in an unconventional way as compared to the conventional
metals. In the low frequency regime, the properties are controlled by a natural
length scale due to CME called the chiral magnetic length. Further, unlike the
conventional metals, the plasma frequency in this case is shown to be strongly
magnetic field-dependent. Since the plasma frequency lies below the optical
frequency, the Weyl semimetals will look transparent. Such new and novel
observations might help in exploiting these class of materials in potential
applications which could completely change the future technology.


title: On Equivalent Color Transform and Four Coloring Theorem

abstract:
  In this paper, we apply an equivalent color transform (ECT) for a minimal
$k$-coloring of any graph $G$. It contracts each color class of the graph to a
single vertex and produces a complete graph $K_k$ for $G$ by removing redundant
edges between any two vertices. Based on ECT, a simple proof for four color
theorem for planar graph is then proposed.


title: Temperature dependence of long coherence times of oxide charge qubits

abstract:
  The ability to maintain coherence and control in a qubit is a major
requirement for quantum computation. We show theoretically that long coherence
times can be achieved above boiling point of liquid helium in charge qubits of
oxide double quantum dots. Detuning the dots to a fraction of the optical
phonon energy, increasing the electron-phonon coupling, reducing the
adiabaticity, or decreasing the temperature enhances the coherence time. We
consider a system that is initially decoupled from the phonon bath in the
polaronic frame of reference and solve the non-Markovian quantum master
equation; we find that the system decoheres after a long time, despite the fact
that no energy is exchanged with the bath.


title:
The Single Mirror Small Sized Telescope For The Cherenkov Telescope
  Array

abstract:
  The Small Size Telescope with Single Mirror (SST-1M) is one of the proposed
types of Small Size Telescopes (SST) for the Cherenkov Telescope Array (CTA).
About 70 SST telescopes will be part the CTA southern array which will also
include Medium Sized Telescopes (MST) in its threshold configuration. Optimized
for the detection of gamma rays in the energy range from 5 TeV to 300 TeV, the
SST-1M uses a Davies-Cotton optics with a 4 m dish diameter with a field of
view of 9 degrees. The Cherenkov light resulting from the interaction of the
gamma-rays in the atmosphere is focused onto a 88 cm side-to-side hexagonal
photo-detection plane. The latter is composed of 1296 hollow light guides
coupled to large area hexagonal silicon photomultipliers (SiPM). The SiPM
readout is fully digital readout as for the trigger system. The compact and
lightweight design of the SST-1M camera offers very high performance ideal for
gamma-ray observation requirement. In this contribution, the concept, design,
performance and status of the first telescope prototype are presented.


title:
Conditions Equivalent to the Descartes-Frenicle-Sorli Conjecture on Odd
  Perfect Numbers

abstract:
  The Descartes-Frenicle-Sorli conjecture predicts that $k=1$ if $q^k n^2$ is
an odd perfect number with Euler prime $q$. In this note, we present some
conditions equivalent to this conjecture.


title:
Dealing with death when studying disease or physiological marker: the
  stochastic system approach to causality

abstract:
  The stochastic system approach to causality is applied to situations where
the risk of death is not negligible. This approach grounds causality on
physical laws, distinguishes system and observation and represents the system
by multivariate stochastic processes. The particular role of death is
highlighted, and it is shown that local influences must be defined on the
random horizon of time of death. We particularly study the problem of
estimating the effect of a factor $V$ on a process of interest $Y$, taking
death into account. We unify the cases where $Y$ is a counting process
(describing an event) and the case where $Y$ is quantitative; we examine the
case of observations in continuous and discrete time and we give a typology of
cases where the mechanism leading to incomplete data can be ignored. Finally,
we give an example of a situation where we are interested in estimating the
effect of a factor (blood pressure) on cognitive ability in elderly.


title:
A Shrinking Target Problem with Target at Infinity in Rank One
  Homogeneous Spaces

abstract:
  In this paper, we give a definition of Diophantine points of type $\gamma$
for $\gamma\geq0$ in a homogeneous space $G/\Gamma$, and compute the Hausdorff
dimension of the subset of points which are not Diophantine of type $\gamma$
when $G$ is a semisimple Lie group of real rank one. We also deduce a
Jarn\'ik-Besicovitch Theorem on Diophantine approximation in Heisenberg groups.


title:
Solutions to inexact resolvent inclusion problems with applications to
  nonlinear analysis and optimization

abstract:
  Many problems in nonlinear analysis and optimization, among them variational
inequalities and minimization of convex functions, can be reduced to finding
zeros (namely, roots) of set-valued operators. Hence numerous algorithms have
been devised in order to achieve this task. A lot of these algorithms are
inexact in the sense that they allow perturbations to appear during the
iterative process, and hence they enable one to better deal with noise and
computational errors, as well as superiorization. For many years a certain
fundamental question has remained open regarding many of these known inexact
algorithmic schemes in various finite and infinite dimensional settings, namely
whether there exist sequences satisfying these inexact schemes when errors
appear. We provide a positive answer to this question. Our results also show
that various theorems discussing the convergence of these inexact schemes have
a genuine merit beyond the exact case. As a by-product we solve the standard
and the strongly implicit inexact resolvent inclusion problems, introduce a
promising class of functions (fully Legendre functions), establish continuous
dependence (stability) properties of the solution of the inexact resolvent
inclusion problem and continuity properties of the protoresolvent, and
generalize the notion of strong monotonicity.


title: Matching for generalised $\beta$-transformations

abstract:
  We investigate matching for the family $T_\alpha(x) = \beta x + \alpha \pmod
1$, $\alpha \in [0,1]$, for fixed $\beta > 1$. Matching refers to the property
that there is an $n \in \mathbb N$ such that $T_\alpha^n(0) = T_\alpha^n(1)$.
We show that for various Pisot numbers $\beta$, matching occurs on an open
dense set of $\alpha \in [0,1]$ and we compute the Hausdorff dimension of its
complement. Numerical evidence shows more cases where matching is prevalent.


title: Magnetic reconnection: from MHD to QED

abstract:
  The paper examines the prospects of using laser plasmas for studying novel
regimes of the magnetic field line reconnection and charged particle
acceleration. Basic features of plasma dynamics in the three-dimensional
configurations relevant to the formation of current sheets in a plasma are
addressed by analyzing exact self-similar solutions of the
magneto-hydrodynamics and electron magneto-hydrodynamics equations. Then the
magnetic field annihilation in the ultrarelativistic limit is considered, when
the opposite polarity magnetic field is generated in collisionless plasma by
multiple laser pulses, in the regime with a dominant contribution of the
displacement current exciting a strong large-scale electric field. This field
leads to the conversion of the magnetic energy into the kinetic energy of
accelerated particles inside a thin current sheet. Charged particle
acceleration during magnetic field reconnection is discussed when radiation
friction and quantum electrodynamics effects become dominant.


title: Neural-based Noise Filtering from Word Embeddings

abstract:
  Word embeddings have been demonstrated to benefit NLP tasks impressively.
Yet, there is room for improvement in the vector representations, because
current word embeddings typically contain unnecessary information, i.e., noise.
We propose two novel models to improve word embeddings by unsupervised
learning, in order to yield word denoising embeddings. The word denoising
embeddings are obtained by strengthening salient information and weakening
noise in the original word embeddings, based on a deep feed-forward neural
network filter. Results from benchmark tasks show that the filtered word
denoising embeddings outperform the original word embeddings.


title: Nitrogen-Vacancy Center as Open-Quantum-System Simulator

abstract:
  Quantum mechanical systems lose coherence through interactions with external
environments---a process known as decoherence. Although decoherence is
detrimental for most of the tasks in quantum information processing, a
substantial degree of decoherence is crucial for boosting the efficiency of
quantum processes, for example, in quantum biology. The key to the success in
simulating those open quantum systems is therefore the ability of controlling
decoherence, instead of eliminating it. Here we focus on the problem of
simulating quantum open systems with Nitrogen-Vacancy centers, which has become
an increasingly important platform for quantum information processing tasks.
Essentially, we developed a new set of steering pulse sequences for controlling
various coherence times of Nitrogen-Vacancy centers; our method is based on a
hybrid approach that exploits ingredients in both digital and analog quantum
simulations to dynamically couple or decouple the system with the physical
environment. Our numerical simulations, based on experimentally-feasible
parameters, indicate that decoherence of Nitrogen-Vacancy centers can be
controlled externally to a very large extend.


title: A framework for small but rich vehicle routing problems

abstract:
  In this paper we consider a 2-vehicle routing problem which can be viewed as
a building block for the varieties of the vehicle routing problems (VRPs). To
approach this problem, we suggest a framework based on the Held and Karp
dynamic programming algorithm for the classical travelling salesman problem. An
algorithm based on this framework shows an exceptionally good performance on
published test data. Our approach can be easily extended to a variety of
constraints/attributes in the VRP, hence the wording "small but rich" in the
title of our paper.


title: Greenhouse effect from the point of view of radiative transfer

abstract:
  Radiative power balance of a planet in the solar system is delineated. The
terrestrial powers are transformed to average global flux in an effective
atmospheric column (EAC) approximation, its components are delineated. The
estimated and measured secular changes of the average global flux are compared
to the fluxes derived from the Stefan-Boltzmann law using the observed global
annual temperatures in the decades between 1880 and 2010. The conclusion of
this procedure is that the radiative contribution of the greenhouse gas ${\rm
CO}_2$ is some $21\pm 7$~\% to the observed global warming from the end of the
XIXth century excluding the feedback mechanisms playing determining role in the
climate system. Stationary radiative flux transfer is treated in an air column
as a function of the column density of the absorbent. Upper and lower limit of
radiative forcing is given by assuming true absorption and coherent scatter of
the monochromatic radiation. An integral formula is given for the outgoing long
wave radiation (OLR) as a function of column density of the components of
greenhouse gases.


title:
A Trefftz polynomial space-time discontinuous Galerkin method for the
  second order wave equation

abstract:
  A new space-time discontinuous Galerkin (dG) method utilising special Trefftz
polynomial basis functions is proposed and fully analysed for the scalar wave
equation in a second order formulation. The dG method considered is motivated
by the class of interior penalty dG methods, as well as by the classical work
of Hughes and Hulbert. The choice of the penalty terms included in the bilinear
form is essential for both the theoretical analysis and for the practical
behaviour of the method for the case of lowest order basis functions. A best
approximation result is proven for this new space-time dG method with
Trefftz-type basis functions. Rates of convergence are proved in any dimension
and verified numerically in spatial dimensions $d = 1$ and $d = 2$. Numerical
experiments highlight the effectiveness of the Trefftz method in problems with
energy at high frequencies.


title: Kinetic derivation of generalized phase space Chern-Simons theory

abstract:
  We study anomalous transport phenomena induced by phase-space Berry
curvature. For that purpose we construct a kinetic theory in $2d$ phase space
when all abelian Berry curvatures are nonzero. We derive anomalous currents by
calculating the complete form of the Poisson brackets of phase space
coordinates. Then we construct the low-energy effective theory to reproduce the
anomalous currents obtained from the kinetic theory. Such an effective theory
is given by the Chern-Simons theory in $1+2d$ dimensions. Some implications of
the Chern-Simons theory are also discussed.


title:
Inclusive four-jet production: a study of Multi-Regge kinematics and
  BFKL observables

abstract:
  A study of differential cross sections for the production of four jets in
multi-Regge kinematics is presented, the main focus lying on azimuthal angle
dependences. The theoretical setup consists in the jet production from a single
BFKL ladder with a convolution of three BFKL Green functions, where two
forward/backward jets are always tagged in the final state. Furthermore, the
tagging of two further jets in more central regions of the detectors with a
relative separation in rapidity from each other is requested. It is found, as
result, that the dependence on the transverse momenta and the rapidities of the
two central jets can be considered as a distinct signal of the onset of BFKL
dynamics.


title: Calabi-Yau property under monoidal Morita-Takeuchi equivalence

abstract:
  Let $H$ and $L$ be two Hopf algebras such that their comodule categories are
monoidal equivalent. We prove that if $H$ is a twisted Calabi-Yau (CY) Hopf
algebra, then $L$ is a twisted CY algebra when it is homologically smooth.
Especially, if $H$ is a Noetherian twisted CY Hopf algebra and $L$ has finite
global dimension, then $L$ is a twisted CY algebra.


title: Entropic measures of Rydberg-like harmonic states

abstract:
  The Shannon entropy, the desequilibrium and their generalizations (R\'enyi
and Tsallis entropies) of the three-dimensional single-particle systems in a
spherically-symmetric potential $V(r)$ can be decomposed into angular and
radial parts. The radial part depends on the analytical form of the potential,
but the angular part does not. In this paper we first calculate the angular
entropy of any central potential by means of two analytical procedures. Then,
we explicitly find the dominant term of the radial entropy for the highly
energetic (i.e., Rydberg) stationary states of the oscillator-like systems. The
angular and radial contributions to these entropic measures are analytically
expressed in terms of the quantum numbers which characterize the corresponding
quantum states and, for the radial part, the oscillator strength. In the latter
case we use some recent powerful results of the information theory of the
Laguerre polynomials and spherical harmonics which control the oscillator-like
wavefunctions.


title:
Generalization of soft $\mu $-compact soft generalized topological
  spaces

abstract:
  Our work aims to introduce generalization of soft $ \mu $-compact soft
generalized topological spaces, namely; soft nearly $ \mu $-compact spaces
which are defined over initial universe with a fixed set of parameters. Basic
properties and some significant corollaries will be introduced, Moreover, we
investigated that a soft nearly $ \mu $-compact space produces a parametrized
family of nearly $ \mu $-compact spaces. Some counter examples will be
established to show that the converse may not be hold.


title: Open high-level data formats and software for gamma-ray astronomy

abstract:
  In gamma-ray astronomy, a variety of data formats and proprietary software
have been traditionally used, often developed for one specific mission or
experiment. Especially for ground-based imaging atmospheric Cherenkov
telescopes (IACTs), data and software are mostly private to the collaborations
operating the telescopes. However, there is a general movement in science
towards the use of open data and software. In addition, the next-generation
IACT instrument, the Cherenkov Telescope Array (CTA), will be operated as an
open observatory.
  We have created a Github organisation at
https://github.com/open-gamma-ray-astro where we are developing high-level data
format specifications. A public mailing list was set up at
https://lists.nasa.gov/mailman/listinfo/open-gamma-ray-astro and a first
face-to-face meeting on the IACT high-level data model and formats took place
in April 2016 in Meudon (France). This open multi-mission effort will help to
accelerate the development of open data formats and open-source software for
gamma-ray astronomy, leading to synergies in the development of analysis codes
and eventually better scientific results (reproducible, multi-mission).
  This write-up presents this effort for the first time, explaining the
motivation and context, the available resources and process we use, as well as
the status and planned next steps for the data format specifications. We hope
that it will stimulate feedback and future contributions from the gamma-ray
astronomy community.


title: Simultaneous power factorization in modules over Banach algebras

abstract:
  Let $A$ be a Banach algebra with a bounded left approximate identity
$\{e_\lambda\}_{\lambda\in\Lambda}$, let $\pi$ be a continuous representation
of $A$ on a Banach space $X$, and let $S$ be a non-empty subset of $X$ such
that $\lim_{\lambda}\pi(e_\lambda)s=s$ uniformly on $S$. If $S$ is bounded, or
if $\{e_\lambda\}_{\lambda\in\Lambda}$ is commutative, then we show that there
exist $a\in A$ and maps $x_n: S\to X$ for $n\geq 1$ such that
$s=\pi(a^n)x_n(s)$ for all $n\geq 1$ and $s\in S$. The properties of $a\in A$
and the maps $x_n$, as produced by the constructive proof, are studied in some
detail. The results generalize previous simultaneous factorization theorems as
well as Allan and Sinclair's power factorization theorem. In an ordered
context, we also consider the existence of a positive factorization for a
subset of the positive cone of an ordered Banach space that is a positive
module over an ordered Banach algebra with a positive bounded left approximate
identity. Such factorizations are not always possible. In certain cases,
including those for positive modules over ordered Banach algebras of bounded
functions, such positive factorizations exist, but the general picture is still
unclear. Furthermore, simultaneous pointwise power factorizations for sets of
bounded maps with values in a Banach module (such as sets of bounded convergent
nets) are obtained. A worked example for the left regular representation of
$\mathrm{C}_0({\mathbb R})$ and unbounded $S$ is included.


title: Inverse mean curvature flow in complex hyperbolic space

abstract:
  We consider the evolution by inverse mean curvature flow of a closed, mean
convex and star-shaped hypersurface in the complex hyperbolic space. We prove
that the flow is defined for any positive time, the evolving hypersurface stays
star-shaped and mean convex. Moreover the induced metric converges, after
rescaling, to a conformal multiple of the standard sub- Riemannian metric on
the sphere. Finally we show that there exists a family of examples such that
the Webster curvature of this sub-Riemannian limit is not constant.


title:
Parametrization of the radiation induced leakage current increase of
  NMOS transistors

abstract:
  The increase of the leakage current of NMOS transistors during exposure to
ionizing radiation is known and well studied. Radiation hardness by design
techniques have been developed to mitigate this effect and have been
successfully used. More recent developments in smaller feature size
technologies do not make use of these techniques due to their drawbacks in
terms of logic density and requirement of dedicated libraries. During operation
the resulting increase of the supply current is a serious challenge and needs
to be considered during the system design.
  A simple parametrization of the leakage current of NMOS transistors as a
function of total ionizing dose is presented. The parametrization uses a
transistor transfer characteristics of the parasitic transistor along the
shallow trench isolation to describe the leakage current of the nominal
transistor. Together with a parametrization of the number of positive charges
trapped in the silicon dioxide and number of activated interface traps in the
silicon to silicon dioxide interface the leakage current as a function of the
exposure time to ionizing radiation results. This function is fitted to data of
the leakage current of single transistors as well as to data of the supply
current of full ASICs.


title: Duality for graded manifolds

abstract:
  We study the notion of duality in the context of graded manifolds. For graded
bundles, somehow like in the case of Gelfand representation and the duality:
points vs. functions, we obtain natural dual objects which belongs to a
different category than the initial ones, namely graded polynomial (co)algebra
bundles and free graded Weil (co)algebra bundles. Our results are then applied
to obtain elegant characterizations of double vector bundles and graded bundles
of degree 2. All these results have their supergeometric counterparts. For
instance, we give a simple proof of a nice characterisation of $N$-manifolds of
degree 2, announced in the literature.


title: Factor Models for Matrix-Valued High-Dimensional Time Series

abstract:
  In finance, economics and many other fields, observations in a matrix form
are often observed over time. For example, many economic indicators are
obtained in different countries over time. Various financial characteristics of
many companies are reported over time. Although it is natural to turn a matrix
observation into a long vector then use standard vector time series models or
factor analysis, it is often the case that the columns and rows of a matrix
represent different sets of information that are closely interrelated in a very
structural way. We propose a novel factor model that maintains and utilizes the
matrix structure to achieve greater dimensional reduction as well as finding
clearer and more interpretable factor structures. Estimation procedure and its
theoretical properties are investigated and demonstrated with simulated and
real examples.


title: Oscillations in counting statistics

abstract:
  The very large transverse momenta and large multiplicities available in
present LHC experiments on pp collisions allow a much closer look at the
corresponding distributions. Some time ago we discussed a possible physical
meaning of apparent log-periodic oscillations showing up in p_T distributions
(suggesting that the exponent of the observed power-like behavior is complex).
In this talk we concentrate on another example of oscillations, this time
connected with multiplicity distributions P(N). We argue that some combinations
of the experimentally measured values of P(N) (satisfying the recurrence
relations used in the description of cascade-stochastic processes in quantum
optics) exhibit distinct oscillatory behavior, not observed in the usual
Negative Binomial Distributions used to fit data. These oscillations provide
yet another example of oscillations seen in counting statistics in many
different, apparently very disparate branches of physics further demonstrating
the universality of this phenomenon.


title:
A New Data Representation Based on Training Data Characteristics to
  Extract Drug Named-Entity in Medical Text

abstract:
  One essential task in information extraction from the medical corpus is drug
name recognition. Compared with text sources come from other domains, the
medical text is special and has unique characteristics. In addition, the
medical text mining poses more challenges, e.g., more unstructured text, the
fast growing of new terms addition, a wide range of name variation for the same
drug. The mining is even more challenging due to the lack of labeled dataset
sources and external knowledge, as well as multiple token representations for a
single drug name that is more common in the real application setting. Although
many approaches have been proposed to overwhelm the task, some problems
remained with poor F-score performance (less than 0.75). This paper presents a
new treatment in data representation techniques to overcome some of those
challenges. We propose three data representation techniques based on the
characteristics of word distribution and word similarities as a result of word
embedding training. The first technique is evaluated with the standard NN
model, i.e., MLP (Multi-Layer Perceptrons). The second technique involves two
deep network classifiers, i.e., DBN (Deep Belief Networks), and SAE (Stacked
Denoising Encoders). The third technique represents the sentence as a sequence
that is evaluated with a recurrent NN model, i.e., LSTM (Long Short Term
Memory). In extracting the drug name entities, the third technique gives the
best F-score performance compared to the state of the art, with its average
F-score being 0.8645.


title:
Nonequivalence of Controllability Properties for Piecewise Linear Markov
  Switch Processes

abstract:
  In this paper we study the exact null-controllability property for a class of
controlled PDMP of switch type with switch-dependent, piecewise linear dynamics
and multiplicative jumps. First, we show that exact null-controllability
induces a con-trollability metric. This metric is linked to a class of backward
stochastic Riccati equations. Using arguments similar to the euclidian-valued
BSDE in [4], the equation is shown to be equivalent to an iterative family of
deterministic Riccati equations that are solvable. Second, we give an example
showing that, for switch-dependent coefficients, exact null-controllability is
strictly stronger than approximate null-controllability. Finally, we show by
convenient examples that no hierarchy holds between approximate (full)
controllability and exact null-controllability. The paper is intended as a
complement to [15] and [14].


title:
Precise error estimate of the Brent-McMillan algorithm for the
  computation of Euler's constant

abstract:
  Brent and McMillan introduced in 1980 a new algorithm for the computation of
Euler's constant $\gamma$, based on the use of the Bessel functions I\_0(x) and
K\_0(x). It is the fastest known algorithm for the computation of $\gamma$. The
time complexity can still be improved by evaluating a certain divergent
asymptotic expansion up to its minimal term. Brent-McMillan conjectured in 1980
that the error is of the same magnitude as the last computed term, and
Brent-Johansson partially proved it in 2015. They also gave some numerical
evidence for a more precise estimate of the error term. We find here an
explicit expression of that optimal estimate, along with a complete
self-contained formal proof and an even more precise error bound.


title: On the Centrality of the Focus in Human Epileptic Brain Networks

abstract:
  There is increasing evidence for specific cortical and subcortical
large-scale human epileptic networks to be involved in the generation, spread,
and termination of not only primary generalized but also focal onset seizures.
The complex dynamics of such networks has been studied with methods of analysis
from graph theory. In addition to investigating network-specific
characteristics, recent studies aim to determine the functional role of single
nodes---such as the epileptic focus---in epileptic brain networks and their
relationship to ictogenesis. Utilizing the concept of betweenness centrality to
assess the importance of network nodes, previous studies reported the epileptic
focus to be of highest importance prior to seizures, which would support the
notion of a network hub that facilitates seizure activity. We performed a
time-resolved analysis of various aspects of node importance in epileptic brain
networks derived from long-term, multi-channel, intracranial
electroencephalographic recordings from an epilepsy patient. Our preliminary
findings indicate that the epileptic focus is not consistently the most
important network node, but node importance may drastically vary over time.


title: Bayesian nonparametric estimation for Quantum Homodyne Tomography

abstract:
  We estimate the quantum state of a light beam from results of quantum
homodyne tomography noisy measurements performed on identically prepared
quantum systems. We propose two Bayesian nonparametric approaches. The first
approach is based on mixture models and is illustrated through simulation
examples. The second approach is based on random basis expansions. We study the
theoretical performance of the second approach by quantifying the rate of
contraction of the posterior distribution around the true quantum state in the
$L^2$ metric.


title: Distributed Nash Equilibrium Seeking By Gossip in Games on Graphs

abstract:
  We consider a gossip approach for finding a Nash equilibrium in a distributed
multi-player network game. We extend previous results on Nash equilibrium
seeking to the case when the players' cost functions may be affected by the
actions of any subset of players. An interference graph is employed to
illustrate the partially-coupled cost functions and the asymmetric information
requirements. For a given interference graph, we design a generalized
communication graph so that players with possibly partially-coupled cost
functions exchange only their required information and make decisions based on
them. Using a set of standard assumptions on the cost functions, interference
and communication graphs, we prove almost sure convergence to a Nash
equilibrium for diminishing step sizes. We then quantify the effect of the
second largest eigenvalue of the expected communication matrix on the
convergence rate, and illustrate the trade-off between the parameters
associated with the communication and the interference graphs. Finally, the
efficacy of the proposed algorithm on a large-scale networked game is
demonstrated via simulation.


title:
Downlink Coordinated Joint Transmission for Mutual Information
  Accumulation

abstract:
  In this letter, we propose a new coordinated multipoint (CoMP) technique
based on mutual information (MI) accumulation using rateless codes. Using a
stochastic geometry model for the cellular downlink, we quantify the
performance enhancements in coverage probability and rate due to MI
accumulation. By simulation and analysis, we show that MI accumulation using
rateless codes leads to remarkable improvements in coverage and rate for
general users and specific cell edge users.


title: Bursting and Synchrony in Networks of Model Neurons

abstract:
  Bursting neurons are considered to be a potential cause of over-excitability
and seizure susceptibility. The functional influence of these neurons in
extended epileptic networks is still poorly understood. There is mounting
evidence that the dynamics of neuronal networks is influenced not only by
neuronal and synaptic properties but also by network topology. We investigate
numerically the influence of different neuron dynamics on global synchrony in
neuronal networks with complex connection topologies.


title:
Resolving galaxy cluster gas properties at z~1 with XMM-Newton and
  Chandra

abstract:
  We present a pilot X-ray study of the five most massive ($M_{500}>5 \times
10^{14} M_{\odot}$), distant (z~1), galaxy clusters detected via the
Sunyaev-Zeldovich effect. We optimally combine XMM-Newton and Chandra X-ray
observations by leveraging the throughput of XMM to obtain spatially-resolved
spectroscopy, and the spatial resolution of Chandra to probe the bright inner
parts and to detect embedded point sources. Capitalising on the excellent
agreement in flux-related measurements, we present a new method to derive the
density profiles, constrained in the centre by Chandra and in the outskirts by
XMM. We show that the Chandra-XMM combination is fundamental for morphological
analysis at these redshifts, the Chandra resolution being required to remove
point source contamination, and the XMM sensitivity allowing higher
significance detection of faint substructures. The sample is dominated by
dynamically disturbed objects. We use the combined Chandra-XMM density profiles
and spatially-resolved temperature profiles to investigate thermodynamic
quantities including entropy and pressure. From comparison of the scaled
profiles with the local REXCESS sample, we find no significant departure from
standard self-similar evolution, within the dispersion, at any radius, except
for the entropy beyond 0.7$R_{500}$. The baryon mass fraction tends towards the
cosmic value, with a weaker dependence on mass than observed in the local
Universe. We compare with predictions from numerical simulations. The present
pilot study demonstrates the utility and feasibility of spatially-resolved
analysis of individual objects at high-redshift through the combination of XMM
and Chandra observations. Observations of a larger sample will allow a fuller
statistical analysis to be undertaken, in particular of the intrinsic scatter
in the structural and scaling properties of the cluster population. (abridged)


title: Distance rationalization of anonymous and homogeneous voting rules

abstract:
  The concept of distance rationalizability of voting rules has been explored
in recent years by several authors. Roughly speaking, we first choose a
consensus set of elections (defined via preferences of voters over candidates)
for which the result is specified a priori (intuitively, these are elections on
which all voters can easily agree on the result). We also choose a measure of
distance between elections. The result of an election outside the consensus set
is defined to be the result of the closest consensual election under the
distance measure.
  Most previous work has dealt with a definition in terms of preference
profiles. However, most voting rules in common use are anonymous and
homogeneous. In this case there is a much more succinct representation (using
the voting simplex) of the inputs to the rule. This representation has been
widely used in the voting literature, but rarely in the context of distance
rationalizability.
  We show exactly how to connect distance rationalizability on profiles for
anonymous and homogeneous rules to geometry in the simplex. We develop the
connection for the important special case of votewise distances, recently
introduced and studied by Elkind, Faliszewski and Slinko in several papers.
This yields a direct interpretation in terms of well-developed mathematical
concepts not seen before in the voting literature, namely Kantorovich (also
called Wasserstein) distances and the geometry of Minkowski spaces.
  As an application of this approach, we prove some positive and some negative
results about the decisiveness of distance rationalizable anonymous and
homogeneous rules. The positive results connect with the recent theory of
hyperplane rules, while the negative ones deal with distances that are not
metrics, controversial notions of consensus, and the fact that the
$\ell^1$-norm is not strictly convex.


title: Discriminative Information Retrieval for Knowledge Discovery

abstract:
  We propose a framework for discriminative Information Retrieval (IR) atop
linguistic features, trained to improve the recall of tasks such as answer
candidate passage retrieval, the initial step in text-based Question Answering
(QA). We formalize this as an instance of linear feature-based IR (Metzler and
Croft, 2007), illustrating how a variety of knowledge discovery tasks are
captured under this approach, leading to a 44% improvement in recall for
candidate triage for QA.


title: Distance rationalization of social rules

abstract:
  The concept of distance rationalizability of social choice rules has been
explored in recent years by several authors. We deal here with several
foundational questions, and unify, correct, and generalize previous work. For
example, we study a new question involving uniqueness of representation in the
distance rationalizability framework, and present a counterexample.
  For rules satisfying various axiomatic properties such as anonymity,
neutrality and homogeneity, the standard profile representation of input can be
compressed substantially. We explain in detail using quotient constructions and
symmetry groups how distance rationalizability is interpreted in this
situation. This enables us to connect the theory of distance rationalizability
with geometric concepts such as Earth Mover distance and optimal
transportation. We expect this connection to prove fruitful in future work.
  We improve on the best-known sufficient conditions for rules rationalized via
votewise distances to satisfy anonymity, neutrality, homogeneity, consistency
and continuity. This leads to a class of well-behaved rules which deserve
closer scrutiny in future.


title: An energy-resolved atomic scanning probe

abstract:
  We propose a method to probe the local density of states (LDOS) of atomic
systems that provides both spatial and energy resolution. The method combines
atomic and tunneling techniques to supply a simple, yet quantitative and
operational, definition of the LDOS for both interacting and non-interacting
systems: It is the rate at which particles can be siphoned from the system of
interest by a narrow energy band of non-interacting states contacted locally to
the many-body system of interest. Ultracold atoms in optical lattices are a
natural platform for implementing this broad concept to visualize the energy
and spatial dependence of the atom density in interacting, inhomogeneous
lattices. This includes models of strongly correlated condensed matter systems,
as well as ones with non-trivial topologies.


title:
Automated Detection of Coronal Mass Ejections in STEREO Heliospheric
  Imager data

abstract:
  We have performed, for the first time, the successful automated detection of
Coronal Mass Ejections (CMEs) in data from the inner heliospheric imager (HI-1)
cameras on the STEREO A spacecraft. Detection of CMEs is done in time-height
maps based on the application of the Hough transform, using a modified version
of the CACTus software package, conventionally applied to coronagraph data. In
this paper we describe the method of detection. We present the result of the
application of the technique to a few CMEs that are well detected in the HI-1
imagery, and compare these results with those based on manual cataloging
methodologies. We discuss in detail the advantages and disadvantages of this
method.


title:
Hub induced remote synchronization and desynchronization in complex
  networks of Kuramoto oscillators

abstract:
  The concept of "remote synchronization" (RS) was introduced in [Phys. Rev. E
85, 026208 (2012)], where synchronization in a star network of Stuart-Landau
oscillators was investigated. In the RS regime therein described, the central
hub served as a transmitter of information between peripheral nodes, while
maintaining independent dynamics that were asynchronous with the rest of the
network. One of the key conclusions of that paper was that RS cannot occur in
pure phase-oscillator networks. Here, we show that the RS regime can exist in
networks of Kuramoto oscillators, and that hub nodes can actively drive remote
synchronization even in the presence of a repulsive mean field. We apply this
model to study the synchronization dynamics in complex networks endowed with
hub-nodes, an ubiquitous feature of many natural networks. We show that a
change in the natural frequency of a hub can alone reshape synchronization
patterns, and switch from direct to remote synchronization, or to hub-driven
desynchronization. We discuss the potential role of this phenomenon in
real-world networks, including the Karate-club and brain connectivity networks.


title: Utilizing High-level Visual Feature for Indoor Shopping Mall Navigation

abstract:
  Towards robust and convenient indoor shopping mall navigation, we propose a
novel learning-based scheme to utilize the high-level visual information from
the storefront images captured by personal devices of users. Specifically, we
decompose the visual navigation problem into localization and map generation
respectively. Given a storefront input image, a novel feature fusion scheme
(denoted as FusionNet) is proposed by fusing the distinguishing DNN-based
appearance feature and text feature for robust recognition of store brands,
which serves for accurate localization. Regarding the map generation, we
convert the user-captured indicator map of the shopping mall into a topological
map by parsing the stores and their connectivity. Experimental results
conducted on the real shopping malls demonstrate that the proposed system
achieves robust localization and precise map generation, enabling accurate
navigation.


title: Entanglement generation secure against general attacks

abstract:
  We present a security proof for establishing private entanglement by means of
recurrence-type entanglement distillation protocols over noisy quantum
channels. We consider protocols where the local devices are imperfect, and show
that nonetheless a confidential quantum channel can be established, and used to
e.g. perform distributed quantum computation in a secure manner. While our
results are not fully device independent (which we argue to be unachievable in
settings with quantum outputs), our proof holds for arbitrary channel noise and
noisy local operations, and even in the case where the eavesdropper learns the
noise. Our approach relies on non-trivial properties of distillation protocols
which are used in conjunction with de-Finetti and post-selection-type
techniques to reduce a general quantum attack in a non-asymptotic scenario to
an i.i.d. setting. As a side result, we also provide entanglement distillation
protocols for non-i.i.d. input states.


title: Enumeration of several two-by-four classes

abstract:
  We use catalytic variables to derive generating functions for the permutation
classes $Av(\textbf{4123},\textbf{1324})$, $Av(\textbf{4123},\textbf{1243})$,
and $Av(\textbf{4123},\textbf{1342})$. Each generating function is algebraic of
degree two, and the growth rates of the classes are 4, 5, and $\alpha$,
respectively, where $\alpha \approx 4.17035$. As a consequence of our analysis,
we see that a typical large permutation in $Av(\textbf{4123},\textbf{1324})$ is
likely to also avoid $\textbf{3124}$, and is even more likely to avoid
$\textbf{31524}$. Large permutations which avoid $\textbf{4123}$ and
$\textbf{1243}$ are likely to also avoid $\textbf{1423}$.


title:
An $A_4$ realization of inverse seesaw: neutrino masses, $\theta_{13}$
  and leptonic non-unitarity

abstract:
  We provide an $A_4$ based flavor symmetric scenario to accommodate the
inverse seesaw mechanism for explaining light neutrino masses and mixing. We
find that the lepton mixing, in particular the tri-bimaximal mixing pattern and
its deviation through nonzero $\theta_{13}$, is originated solely from the
flavor structure of the lepton number violating contribution of the neutral
lepton mass matrix. Here we discuss in detail how a nonzero value of
$\theta_{13}$ is correlated with the other parameters in the framework and its
impact on the Dirac CP phase $\delta$. We also analyze the non-unitarity
effects on lepton mixing matrix and its implication in terms of the lepton
flavor violating decays, etc..


title:
Toward Automatic Understanding of the Function of Affective Language in
  Support Groups

abstract:
  Understanding expressions of emotions in support forums has considerable
value and NLP methods are key to automating this. Many approaches
understandably use subjective categories which are more fine-grained than a
straightforward polarity-based spectrum. However, the definition of such
categories is non-trivial and, in fact, we argue for a need to incorporate
communicative elements even beyond subjectivity. To support our position, we
report experiments on a sentiment-labelled corpus of posts taken from a medical
support forum. We argue that not only is a more fine-grained approach to text
analysis important, but simultaneously recognising the social function behind
affective expressions enable a more accurate and valuable level of
understanding.


title: Multi-colony Wright-Fisher with seed-bank

abstract:
  We consider a multi-colony version of the Wright-Fisher model with seed-bank
that was recently introduced by Blath et al. Individuals live in colonies and
change type via resampling and mutation. Each colony contains a seed-bank that
acts as a genetic reservoir. Individuals can enter the seed-bank and become
dormant or can exit the seed-bank and become active. In each colony at each
generation a fixed fraction of individuals swap state, drawn randomly from the
active and the dormant population. While dormant, individuals suspend their
resampling. While active, individuals resample from their own colony, but also
from different colonies according to a random walk transition kernel
representingmigration. Both active and dormant individuals mutate.
  We derive a formula for the probability that two individuals drawn randomly
from two given colonies are identical by descent, i.e., share a common
ancestor. This formula, which is formulated in Fourier language, is valid when
the colonies form a discrete torus. We consider the special case of a symmetric
slow seed-bank, for which in each colony half of the individuals are in the
seed-bank and at each generation the fraction of individuals that swap state is
small. This leads to a simpler formula, from which we are able to deduce how
the probability to be identical by descent depends on the distance between the
two colonies and various relevant parameters. Through an analysis of random
walk Green functions, we are able to derive explicit scaling expressions when
mutation is slower than migration. We also compute the spatial second moment of
the probability to be identical by descent for all parameters when the torus
becomes large. For the special case of a symmetric slow seed-bank, we again
obtain explicit scaling expressions.


title:
Steady-state and periodic exponential turnpike property for optimal
  control problems in Hilbert spaces

abstract:
  In this work, we study the steady-state (or periodic) exponential turnpike
property of optimal control problems in Hilbert spaces. The turnpike property,
which is essentially due to the hyperbolic feature of the Hamiltonian system
resulting from the Pontryagin maximum principle, reflects the fact that, in
large time, the optimal state, control and adjoint vector remain most of the
time close to an optimal steady-state. A similar statement holds true as well
when replacing an optimal steady-state by an optimal periodic trajectory. To
establish the result, we design an appropriate dichotomy transformation, based
on solutions of the algebraic Riccati and Lyapunov equations. We illustrate our
results with examples including linear heat and wave equations with periodic
tracking terms.


title:
Dimer-induced heavy-fermion superconductivity in the Shastry-Sutherland
  Kondo lattice model

abstract:
  We study the Kondo lattice model on the geometrically frustrated
Shastry-Sutherland lattice focusing on the quantum phase transition between the
valence bond solid and the heavy fermion liquid phase. By explicitly including
spinon pairing of local moments at the mean-field level, we establish the
emergence of a unique heavy fermion superconducting phase induced by dimer
ordering of the local moments coexisting with Kondo hybridization. Furthermore,
we demonstrate that for suitable choices of parameters, a partial
Kondo-screening phase, where some of the valence bonds are broken, precedes the
aforementioned dimer-induced superconducting phase. Our results have important
implications in understanding the experimental observations in the heavy
fermion Shasstry-Sutherland compounds.


title: Group Invariant Weighing Matrices

abstract:
  We investigate the existence problem of group invariant matrices using
algebraic approaches. We extend the usual concept of multipliers to group rings
with cyclotomic integers as coefficients. This concept is combined with the
field descent method and rational idempotents to develop new non-existence
results.


title: Cryogenic Characterization of FBK HD Near-UV Sensitive SiPMs

abstract:
  We report on the characterization of near-ultraviolet high density silicon
photomultiplier (\SiPM) developed at Fondazione Bruno Kessler (\FBK) at
cryogenic temperature. A dedicated setup was built to measure the primary dark
noise and correlated noise of the \SiPMs\ between 40 and 300~K. Moreover, an
analysis program and data acquisition system were developed to allow the
precise characterization of these parameters, some of which can vary up to 7
orders of magnitude between room temperature and 40~K. We demonstrate that it
is possible to operate the \FBK\ near-ultraviolet high density \SiPMs\ at
temperatures lower than 100~K with a dark rate below 0.01 cps/mm$^2$ and total
correlated noise probability below 35\% at an over-voltage of 6~V. These
results are relevant for the development of future cryogenic particle detectors
using \SiPMs\ as photosensors.


title: Asymptotic expansions and summability with respect to an analytic germ

abstract:
  In a previous article of the authors with M. Canalis-Durand, monomial
asymptotic expansions, Gevrey asymptotic expansions and monomial summability
were introduced and applied to certain systems of singularly perturbed
differential equations. In the present work, we extend this concept,
introducing (Gevrey) asymptotic expansions and summability with respect to a
germ of an analytic function in several variables - this includes polynomials.
The reduction theory of singularities of curves and monomialization of germs of
analytic functions are crucial to establish properties of the new notions, for
example a generalization of the Ramis-Sibuya theorem for the existence of
Gevrey asymptotic expansions. Two examples of singular differential equations
are presented for which the formal solutions are shown to be summable with
respect to a polynomial: one ordinary and one partial differential equation.


title:
Affine Macdonald conjectures and special values of Felder-Varchenko
  functions

abstract:
  We refine the statement of the denominator and evaluation conjectures for
affine Macdonald polynomials proposed by Etingof-Kirillov Jr. and prove the
first non-trivial cases of these conjectures. Our results provide a
q-deformation of the computation of genus 1 conformal blocks via elliptic
Selberg integrals by Felder-Stevens-Varchenko. They allow us to give precise
formulations for the affine Macdonald conjectures in the general case which are
consistent with computer computations.
  Our method applies recent work of the second named author to relate these
conjectures in the case of $U_q(\widehat{\mathfrak{sl}}_2)$ to evaluations of
certain theta hypergeometric integrals defined by Felder-Varchenko. We then
evaluate the resulting integrals, which may be of independent interest, by
well-chosen applications of the elliptic beta integral introduced by
Spiridonov.


title: Blowout Jets and Impulsive Eruptive Flare in a Bald-Patch Topology

abstract:
  Context: A subclass of broad EUV and X-ray jets, called blowout jets, have
become a topic of research since they could be the link between standard
collimated jets and CMEs.}
  Aim: Our aim is to understand the origin of a series of broad jets, some
accompanied by flares and associated with narrow and jet-like CMEs.
  Methods: We analyze observations of a series of recurrent broad jets observed
in AR 10484 on 21-24 October 2003. In particular, one of them occurred
simultaneously with an M2.4 flare on 23 October at 02:41 UT (SOLA2003-10-23).
Both events were observed by ARIES H-alpha Solar Tower-Telescope, TRACE, SOHO,
and RHESSI instruments. The flare was very impulsive and followed by a narrow
CME. A local force-free model of AR 10484 is the basis to compute its topology.
We find bald patches (BPs) at the flare site. This BP topology is present for
at least two days before. Large-scale field lines, associated with the BPs,
represent open loops. This is confirmed by a global PFSS model. Following the
brightest leading edge of the H-alpha and EUV jet emission, we can temporarily
associate it with a narrow CME.
  Results: Considering their characteristics, the observed broad jets appear to
be of the blowout class. As the most plausible scenario, we propose that
magnetic reconnection could occur at the BP separatrices forced by the
destabilization of a continuously reformed flux rope underlying them. The
reconnection process could bring the cool flux-rope material into the
reconnected open field lines driving the series of recurrent blowout jets and
accompanying CMEs.
  Conclusions: Based on a model of the coronal field, we compute the AR 10484
topology at the location where flaring and blowout jets occurred from 21 to 24
October 2003. This topology can consistently explain the origin of these
events.


title:
Analysis of the shape of x-ray diffraction peaks originating from the
  hexatic phase of liquid crystal films

abstract:
  X-ray diffraction studies of the bond-orientational order in the hexatic-B
phase of 75OBC and 3(10)OBC compounds are presented. The temperature evolution
of an angular profile of a single diffraction peak is analyzed. Close to the
hexatic-B-smectic-A transition these profiles can be approximated by the
Gaussian function. At lower temperatures in the hexatic-B phase the profiles
are better fitted by the Voigt function. Theoretical analysis of the width of
diffraction peaks in three-dimentional (3D) hexatics is performed on the basis
of the effective Hamiltonian introduced by Aharony and Kardar. Theoretical
estimations are in good agreement with the results of x-ray experiments.


title: Optimal Separation in Exact Query Complexities for Simon's Problem

abstract:
  Simon's problem is one of the most important problems demonstrating the power
of quantum computers, which achieves a large separation between quantum and
classical query complexities. However, Simon's discussion on his problem was
limited to bounded-error setting, which means his algorithm can not always get
the correct answer. Exact quantum algorithms for Simon's problem have also been
proposed, which deterministically solve the problem with O(n) queries. Also the
quantum lower bound \Omega(n) for Simon's problem is known. Although these
algorithms are either complicated or specialized, their results give an O(n)
versus \Omega(\sqrt{2^{n}}) separation in exact query complexities for Simon's
problem (\Omega(\sqrt{2^{n}}) is the lower bound for classical probabilistic
algorithms), but it has not been proved whether this separation is optimal. In
this paper, we propose another exact quantum algorithm for solving Simon's
problem with O(n) queries, which is simple, concrete and does not rely on
special query oracles. Our algorithm combines Simon's algorithm with the
quantum amplitude amplification technique to ensure its determinism. In
particular, we show that Simon's problem can be solved by a classical
deterministic algorithm with O(\sqrt{2^{n}}) queries (as we are aware, there
were no classical deterministic algorithms for solving Simon's problem with
O(\sqrt{2^{n}}) queries). Combining some previous results, we obtain the
optimal separation in exact query complexities for Simon's problem: \Theta({n})
versus \Theta({\sqrt{2^{n}}}).


title: Symmetry and optical selection rules in graphene quantum dots

abstract:
  Graphene quantum dots (GQD's) have optical properties which are very
different from those of an extended graphene sheet. In this Article we explore
how the size, shape and edge--structure of a GQD affect its optical
conductivity. Using representation theory, we derive optical selection rules
for regular-shaped dots, starting from the symmetry properties of the current
operator. We find that, where the x- and y-components of the current operator
transform with the same irreducible representation (irrep) of the point group -
for example in triangular or hexagonal GQD's - the optical conductivity is
independent of the polarisation of the light. On the other hand, where these
components transform with different irreps - for example in rectangular GQD's -
the optical conductivity depends on the polarisation of light. We find that
GQD's with non-commuting point-group operations - for example dots of
rectangular shape - can be distinguished from GQD's with commuting point-group
operations - for example dots of triangular or hexagonal shape - by using
polarized light. We carry out explicit calculations of the optical conductivity
of GQD's described by a simple tight--binding model and, for dots of
intermediate size, \textcolor{blue}{($10 \lesssim L \lesssim 50\ \text{nm}$)}
find an absorption peak in the low--frequency range of the spectrum which
allows us to distinguish between dots with zigzag and armchair edges. We also
clarify the one-dimensional nature of states at the van Hove singularity in
graphene, providing a possible explanation for very high exciton-binding
energies. Finally we discuss the role of atomic vacancies and shape asymmetry.


title: Adaptive Online Sequential ELM for Concept Drift Tackling

abstract:
  A machine learning method needs to adapt to over time changes in the
environment. Such changes are known as concept drift. In this paper, we propose
concept drift tackling method as an enhancement of Online Sequential Extreme
Learning Machine (OS-ELM) and Constructive Enhancement OS-ELM (CEOS-ELM) by
adding adaptive capability for classification and regression problem. The
scheme is named as adaptive OS-ELM (AOS-ELM). It is a single classifier scheme
that works well to handle real drift, virtual drift, and hybrid drift. The
AOS-ELM also works well for sudden drift and recurrent context change type. The
scheme is a simple unified method implemented in simple lines of code. We
evaluated AOS-ELM on regression and classification problem by using concept
drift public data set (SEA and STAGGER) and other public data sets such as
MNIST, USPS, and IDS. Experiments show that our method gives higher kappa value
compared to the multiclassifier ELM ensemble. Even though AOS-ELM in practice
does not need hidden nodes increase, we address some issues related to the
increasing of the hidden nodes such as error condition and rank values. We
propose taking the rank of the pseudoinverse matrix as an indicator parameter
to detect underfitting condition.


title:
Cygnus X-3: Its Little Friend's Counterpart, the Distance to Cygnus X-3,
  and Outflows/Jets

abstract:
  Chandra observations have revealed a feature,within 16" of Cygnus X-3 which
varied in phase with Cygnus X-3. This feature was shown to be a Bok globule
which is along the line of sight to Cygnus X-3. We report on observations made
with Submillimeter Array (SMA) to search for molecular emission from this
globule, also known as Cygnus X-3's "Little Friend" (LF). We have found a
counterpart in both 12CO (2-1) and 13}CO (2-1) emission. From the velocity
shift of the molecular lines, we are able to find two probable distances based
on the Bayesian model of Milky Way kinematics of Reid et al. 2016. For the LF
velocity of -47.5 km/s, we get a distance of 6.1 +/- 0.6 kpc (62% probability)
and 7.8 +/- 0.6 ~kpc (38% probability). This yields a distance to Cyg X-3 of
7.4 +/- 1.1 kpc and 10.2 +/-1.2 ~kpc, respectively. Based on the probabilities
entailed, we take 7.4 +/- 1.1 kpc as the preferred distance to Cyg X-3. We also
report the discovery of bipolar molecular outflow, suggesting that there is
active star formation occurring within the Little Friend.


title:
Mapping the Microscale Origins of MRI Contrast with Subcellular NV
  Diamond Magnetometry

abstract:
  Magnetic resonance imaging (MRI) is a widely used biomedical imaging modality
that derives much of its contrast from microscale magnetic field gradients in
biological tissues. However, the connection between these sub-voxel field
patterns and MRI contrast has not been studied experimentally. Here, we
describe a new method to map subcellular magnetic fields in mammalian cells and
tissues using nitrogen vacancy diamond magnetometry and connect these maps to
voxel-scale MRI contrast, providing insights for in vivo imaging and contrast
agent design.


title: Metaheuristic Algorithms for Convolution Neural Network

abstract:
  A typical modern optimization technique is usually either heuristic or
metaheuristic. This technique has managed to solve some optimization problems
in the research area of science, engineering, and industry. However,
implementation strategy of metaheuristic for accuracy improvement on
convolution neural networks (CNN), a famous deep learning method, is still
rarely investigated. Deep learning relates to a type of machine learning
technique, where its aim is to move closer to the goal of artificial
intelligence of creating a machine that could successfully perform any
intellectual tasks that can be carried out by a human. In this paper, we
propose the implementation strategy of three popular metaheuristic approaches,
that is, simulated annealing, differential evolution, and harmony search, to
optimize CNN. The performances of these metaheuristic methods in optimizing CNN
on classifying MNIST and CIFAR dataset were evaluated and compared.
Furthermore, the proposed methods are also compared with the original CNN.
Although the proposed methods show an increase in the computation time, their
accuracy has also been improved (up to 7.14 percent).


title:
Comparison of two convergence criteria for the variable-assignment
  Lopsided Lovasz Local Lemma

abstract:
  The Lopsided Lovasz Local Lemma (LLLL) is a cornerstone probabilistic tool
for showing that it is possible to avoid a collection of "bad" events as long
as their probabilities and interdependencies are sufficiently small. The
strongest possible criterion in these terms is due to Shearer (1985), although
it is technically difficult to apply to constructions in combinatorics.
  The original formulation of the LLLL was non-constructive; a seminal
algorithm of Moser & Tardos (2010) gave an efficient algorithm for nearly all
its applications, including to $k$-SAT instances where each variable appears in
a bounded number of clauses. Harris (2015) later gave an alternate criterion
for this algorithm to converge; unlike the LLL criterion or its variants, this
criterion depends in a fundamental way on the decomposition of bad-events into
variables.
  In this note, we show that the criterion given by Harris can be stronger in
some cases even than Shearer's criterion. We construct $k$-SAT formulas with
bounded variable occurrence, and show that the criterion of Harris is satisfied
while the criterion of Shearer is violated. In fact, there is an exponentially
growing gap between the bounds provable from any form of the LLLL and from the
bound shown by Harris.


title:
VLTI/AMBER spectro-interferometry of the late-type supergiants V766 Cen
  (=HR 5171 A), sigma Oph, BM Sco, and HD 206859

abstract:
  We add four warmer late-type supergiants to our previous
spectro-interferometric studies of red giants and supergiants.
  V766 Cen (=HR 5171 A) is found to be a high-luminosity log(L/L_sun)=5.8+-0.4
source of Teff 4290+-760 K and radius 1490+-540 Rsun located close to both the
Hayashi and Eddington limits; this source is consistent with a 40 Msun
evolutionary track without rotation and current mass 27-36 Msun. It exhibits
NaI in emission arising from a shell of radius 1.5 Rphot and a photocenter
displacement of about 0.1 Rphot. V766 Cen shows strong extended molecular (CO)
layers and a dusty circumstellar background component. This suggest an
optically thick pseudo-photosphere at about 1.5 Rphot at the onset of the wind.
V766 Cen is a red supergiant located close to the Hayashi limit instead of a
yellow hypergiant already evolving back toward warmer Teff as previously
discussed.
  The stars sigma Oph, BM Sco, and HD 206859 are found to have lower
luminosities of about log(L/Lsun)=3.4-3.5 and Teff of 3900-5300 K,
corresponding to 5-9 Msun tracks. They do not show extended molecular layers as
observed for higher luminosity red supergiants of our sample. BM Sco shows an
unusually strong contribution by an over-resolved circumstellar dust component.
These stars are more likely high-mass red giants instead of red supergiants.
  This leaves us with an unsampled locus in the HR diagram corresponding to
luminosities log(L/Lsun)~3.8-4.8 or masses 10-13 Msun, possibly corresponding
to the mass region where stars explode as type II-P supernovae during the RSG
stage.
  Our previously found relation of increasing strength of extended molecular
layers with increasing luminosities is now confirmed to extend to double our
previous luminosities and up to the Eddington limit. This might further point
to steadily increasing radiative winds with increasing luminosity.
  [Abridged]


title:
Genuine multipartite nonlocality of permutationally invariant Gaussian
  states

abstract:
  We investigate genuine multipartite nonlocality of pure permutationally
invariant multimode Gaussian states of continuous variable systems, as detected
by the violation of Svetlichny inequality. We identify the phase space settings
leading to the largest violation of the inequality when using displaced parity
measurements, distinguishing our results between the cases of even and odd
total number of modes. We further consider pseudospin measurements and show
that, for three-mode states with asymptotically large squeezing degree,
particular settings of these measurements allow one to approach the maximum
violation of Svetlichny inequality allowed by quantum mechanics. This indicates
that the strongest manifestation of genuine multipartite quantum nonlocality is
in principle verifiable on Gaussian states.

categories: quant-ph cond-mat.stat-mech math-ph math.MP physics.optics


title: Trial-Offer Markets with Continuation

abstract:
  Trial-offer markets, where customers can sample a product before deciding
whether to buy it, are ubiquitous in the online experience. Their static and
dynamic properties are often studied by assuming that consumers follow a
multinomial logit model and try exactly one product. In this paper, we study
how to generalize existing results to a more realistic setting where consumers
can try multiple products. We show that a multinomial logit model with
continuation can be reduced to a standard multinomial logit model with
different appeal and product qualities. We examine the consequences of this
reduction on the performance and predictability of the market, the role of
social influence, and the ranking policies.


title:
Directional derivatives and higher order chain rules for abelian functor
  calculus

abstract:
  In this paper, we consider abelian functor calculus, the calculus of functors
of abelian categories established by the second author and McCarthy. We
carefully construct a category of abelian categories and suitably homotopically
defined functors, and show that this category, equipped with the directional
derivative, is a cartesian differential category in the sense of Blute,
Cockett, and Seely. This provides an abstract framework that makes certain
analogies between classical and functor calculus explicit. Inspired by Huang,
Marcantognini, and Young's chain rule for higher order directional derivatives
of functions, we define a higher order directional derivative for functors of
abelian categories. We show that our higher order directional derivative is
related to the iterated partial directional derivatives of the second author
and McCarthy by a Fa\`a di Bruno style formula. We obtain a higher order chain
rule for our directional derivatives using a feature of the cartesian
differential category structure, and with this provide a formulation for the
$n$th layers of the Taylor tower of a composition of functors $F\circ G$ in
terms of the derivatives and directional derivatives of $F$ and $G$,
reminiscent of similar formulations for functors of spaces or spectra by Arone
and Ching. Throughout, we provide explicit chain homotopy equivalences that
tighten previously established quasi-isomorphisms for properties of abelian
functor calculus.


title: New polynomially exact integration rules on U(N) and SU(N)

abstract:
  In lattice Quantum Field Theory, we are often presented with integrals over
polynomials of coefficients of matrices in U(N) or SU(N) with respect to the
Haar measure. In some physical situations, e.g., in presence of a chemical
potential, these integrals are numerically very difficult since their
integrands are highly oscillatory which manifests itself in form of the sign
problem. In these cases, Monte Carlo methods often fail to be adequate,
rendering such computations practically impossible. We propose a new class of
integration rules on U(N) and SU(N) which are derived from polynomially exact
rules on spheres. We will examine these quadrature rules and their efficiency
at the example of a 0+1 dimensional QCD for a non-zero quark mass and chemical
potential. In particular, we will demonstrate the failure of Monte Carlo
methods in such applications and that we can obtain polynomially exact,
arbitrary precision results using the new integration rules.


title: N\'eron-Tate heights of cycles on jacobians

abstract:
  We develop a method to calculate the N\'eron-Tate height of tautological
integral cycles on jacobians of curves defined over number fields. As examples
we obtain closed expressions for the N\'eron-Tate height of the difference
surface, the Abel-Jacobi images of the square of the curve, and of any
symmetric theta divisor. As applications we obtain a new effective positive
lower bound for the essential minimum of any Abel-Jacobi image of the curve and
a proof, in the case of jacobians, of a formula proposed by Autissier relating
the Faltings height of a principally polarized abelian variety with the
N\'eron-Tate height of a symmetric theta divisor.


title:
Observation of quasi-periodic frequency sweeping in electron cyclotron
  emission of nonequilibrium mirror-confined plasma

abstract:
  Chirping frequency patterns have been observed in the electron cyclotron
emission from strongly nonequilibrium plasma confined in a table-top mirror
magnetic trap. Such patterns are typical for the formation of nonlinear phase
space structures in a proximity of the wave-particle resonances of a
kinetically unstable plasma, also known as the "holes and clumps" mechanism.
Our data provides the first experimental evidence for acting of this mechanism
in the electron cyclotron frequency domain.