title: A note on the Esscher transform of affine Markov processes

abstract:
  In affine models, both the martingale property of stochastic exponentials and
non-explosion of affine processes is characterized in terms of minimality of
solutions to a system of generalized Riccati differential equations. This is
the final improvement of previous results by Duffie, Filipovic and
Schachermayer (2003), Mayerhofer, Muhle-Karbe and Smirnov (2011) and
Keller-Ressel and Mayerhofer (2015) for processes on canonical state spaces.


title: In memory of Leo P. Kadanoff

abstract:
  Leo Kadanoff has worked in many fields of statistical mechanics. His
contributions had an enormous impact. This holds in particular for critical
phenomena, where he explained Widom's homogeneity laws by means of block-spin
transformations and laid the basis for Wilson's renormalization group equation.
I had the pleasure to work in his group for one year. A short historically
account is given.


title: Scattering theory on surface Majorana fermions by an impurity in 3He-B

abstract:
  We have formulated the scattering theory on Majorana fermions emerging in the
surface bound state of the superfluid $^3$He B-phase ($^3$He-B) by an impurity.
By applying the theory to the electron bubble, which is regarded as the
impurity, trapped below a free surface of $^3$He-B, the observed mobility of
the electron bubble [Ikegami et al., J. Phys. Soc. Jpn. 82, 124607 (2013)] is
quantitatively reproduced. The mobility is suppressed in low temperatures from
the expected value in the bulk $^3$He-B by the contribution from the surface
Majorana fermions. By contrast, the mobility does not depend on trapped depth
of the electron bubble in spite of the spatial variation of the wave function
of the surface Majorana fermions. Our formulated theory demonstrates the depth
independent mobility by considering intermediate states in the scattering
process. Therefore, we conclude that the experiment has succeeded in observing
Majorana fermions in the surface bound state.


title:
A phenomenological spatial model for macro-ecological patterns in
  species-rich ecosystems

abstract:
  Over the last few decades, ecologists have come to appreciate that key
ecological patterns, which describe ecological communities at relatively large
spatial scales, are not only scale dependent, but also intimately intertwined.
The relative abundance of species, which informs us about the commonness and
rarity of species, changes its shape from small to large spatial scales. The
average number of species as a function of area has a steep initial increase,
followed by decreasing slopes at large scales. Finally, if we find a species in
a given location, it is more likely we find an individual of the same species
close-by, rather than farther apart. Such spatial turnover depends on the
geographical distribution of species, which often are spatially aggregated.
This reverberates on the abundances as well as the richness of species within a
region, but so far it has been difficult to quantify such relationships. Within
a neutral framework, which considers all individuals competitively equivalent,
we introduce a spatial stochastic model, which phenomenologically accounts for
birth, death, immigration and local dispersal of individuals. We calculate the
pair correlation function, which encapsulates spatial turnover, and the
conditional probability to find a species with a certain population within a
given circular area. Also, we calculate the macro-ecological patterns, which we
have referred to above, and compare the analytical formul{\ae} with the
numerical integration of the model. Finally, we contrast the model predictions
with the empirical data for two lowland tropical forest inventories, showing
always a good agreement.

categories: q-bio.PE cond-mat.stat-mech nlin.AO physics.bio-ph q-bio.QM


title:
Energy localization enhanced ground-state cooling of mechanical
  resonator from room temperature in optomechanics using a gain cavity

abstract:
  When a gain system is coupled to a loss system, the energy usually flows from
the gain system to the loss one. We here present a counterintuitive theory for
the ground-state cooling of the mechanical resonator in optomechanical system
via a gain cavity. The energy flows first from the mechanical resonator into
the loss cavity, then into the gain cavity, and finally localizes there. The
energy localization in the gain cavity dramatically enhances the cooling rate
of the mechanical resonator. Moreover, we show that unconventional optical
spring effect, e.g., giant frequency shift and optically induced damping of the
mechanical resonator, can be realized. Those feature a pre-cooling free
ground-state cooling, i.e., the mechanical resonator in thermal excitation at
room temperature can directly be cooled to its ground state. This cooling
approach has the potential application for fundamental tests of quantum physics
without complicated cryogenic setups.


title:
Detuning-dependent Properties and Dispersion-induced Instabilities of
  Temporal Dissipative Kerr Solitons in Optical Microresonators

abstract:
  Temporal-dissipative Kerr solitons are self-localized light pulses sustained
in driven nonlinear optical resonators. Their realization in microresonators
has enabled compact sources of coherent optical frequency combs as well as the
study of dissipative solitons. A key parameter of their dynamics is the
effective-detuning of the pump laser to the thermally- and Kerr-shifted cavity
resonance. Together with the free spectral range and dispersion, it governs the
soliton-pulse duration, as predicted by an approximate analytical solution of
the Lugiato-Lefever equation. Yet, a precise experimental verification of this
relation was lacking so far. Here, by measuring and controlling the
effective-detuning, we establish a new way of stabilizing solitons in
microresonators and demonstrate that the measured relation linking soliton
width and detuning deviates by less than 1 % from the approximate expression,
validating its excellent predictive power. Furthermore, a detuning-dependent
enhancement of specific comb lines is revealed, due to linear couplings between
mode-families. They cause deviations from the predicted comb power evolution,
and induce a detuning-dependent soliton recoil that modifies the pulse
repetition-rate, explaining its unexpected dependence on laser-detuning.
Finally, we observe that detuning-dependent mode-crossings can destabilize the
soliton, leading to an unpredicted soliton breathing regime (oscillations of
the pulse) that occurs in a normally-stable regime. Our results test the
approximate analytical solutions with an unprecedented degree of accuracy and
provide new insights into dissipative-soliton dynamics.


title:
Short interval results for certain prime-independent multiplicative
  functions

abstract:
  Using recent results from the theory of integer points close to smooth
curves, we give an asymptotic formula for the distribution of values of a class
of integer-valued prime-independent multiplicative functions.


title:
Electronic structure and magnetism of samarium and neodymium adatoms on
  free-standing graphene

abstract:
  The electronic structure of selected rare-earth atoms adsorbed on a
free-standing graphene was investigated using methods beyond the conventional
density functional theory (DFT+U, DFT+HIA and DFT+ED). The influence of the
electron correlations and the spin-orbit coupling on the magnetic properties
has been examined. The DFT+U method predicts both atoms to carry local magnetic
moments (spin and orbital) contrary to a nonmagnetic $f^6$ ($J=0$) ground-state
configuration of Sm in the gas phase. Application of DFT${}+{}$Hubbard-I (HIA)
and DFT${}+{}$exact diagonalization (ED) methods cures this problem, and yields
a nonmagnetic ground state with six $f$ electrons and $J=0$ for the Sm adatom.
Our calculations show that Nd adatom remains magnetic, with four localized $f$
electrons and $J=4.0$. These conclusions could be verified by STM and XAS
experiments.


title: Sum Coloring : New upper bounds for the chromatic strength

abstract:
  The Minimum Sum Coloring Problem (MSCP) is derived from the Graph Coloring
Problem (GCP) by associating a weight to each color. The aim of MSCP is to find
a coloring solution of a graph such that the sum of color weights is minimum.
MSCP has important applications in fields such as scheduling and VLSI design.
We propose in this paper new upper bounds of the chromatic strength, i.e. the
minimum number of colors in an optimal solution of MSCP, based on an
abstraction of all possible colorings of a graph called motif. Experimental
results on standard benchmarks show that our new bounds are significantly
tighter than the previous bounds in general, allowing to reduce substantially
the search space when solving MSCP .


title: Detecting Singleton Review Spammers Using Semantic Similarity

abstract:
  Online reviews have increasingly become a very important resource for
consumers when making purchases. Though it is becoming more and more difficult
for people to make well-informed buying decisions without being deceived by
fake reviews. Prior works on the opinion spam problem mostly considered
classifying fake reviews using behavioral user patterns. They focused on
prolific users who write more than a couple of reviews, discarding one-time
reviewers. The number of singleton reviewers however is expected to be high for
many review websites. While behavioral patterns are effective when dealing with
elite users, for one-time reviewers, the review text needs to be exploited. In
this paper we tackle the problem of detecting fake reviews written by the same
person using multiple names, posting each review under a different name. We
propose two methods to detect similar reviews and show the results generally
outperform the vectorial similarity measures used in prior works. The first
method extends the semantic similarity between words to the reviews level. The
second method is based on topic modeling and exploits the similarity of the
reviews topic distributions using two models: bag-of-words and
bag-of-opinion-phrases. The experiments were conducted on reviews from three
different datasets: Yelp (57K reviews), Trustpilot (9K reviews) and Ott dataset
(800 reviews).


title:
Predicting the future relevance of research institutions - The winning
  solution of the KDD Cup 2016

abstract:
  The world's collective knowledge is evolving through research and new
scientific discoveries. It is becoming increasingly difficult to objectively
rank the impact research institutes have on global advancements. However, since
the funding, governmental support, staff and students quality all mirror the
projected quality of the institution, it becomes essential to measure the
affiliation's rating in a transparent and widely accepted way. We propose and
investigate several methods to rank affiliations based on the number of their
accepted papers at future academic conferences. We carry out our investigation
using publicly available datasets such as the Microsoft Academic Graph, a
heterogeneous graph which contains various information about academic papers.
We analyze several models, starting with a simple probabilities-based method
and then gradually expand our training dataset, engineer many more features and
use mixed models and gradient boosted decision trees models to improve our
predictions.


title: Single atom edge-like states via quantum interference

abstract:
  We demonstrate how quantum interference may lead to the appearance of robust
edge-like states of a single ultracold atom in a two-dimensional optical
ribbon. We show that these states can be engineered either within the manifold
of local ground states of the sites forming the ribbon, or of states carrying
one unit of angular momentum. In the former case, we show that the
implementation of edge-like states can be extended to other geometries, such as
tilted square lattices. In the latter case, we suggest to use the winding
number associated to the angular momentum as a synthetic dimension.


title: Chaos in the Takens-Bogdanov bifurcation with O(2) symmetry

abstract:
  The Takens-Bogdanov bifurcation is a codimension two bifurcation that
provides a key to the presence of complex dynamics in many systems of physical
interest. When the system is translation-invariant in one spatial dimension
with no left-right preference the imposition of periodic boundary conditions
leads to the Takens-Bogdanov bifurcation with O(2) symmetry. This bifurcation,
analyzed by G. Dangelmayr and E. Knobloch, Phil. Trans. R. Soc. London A 322,
243 (1987), describes the interaction between steady states and traveling and
standing waves in the nonlinear regime and predicts the presence of modulated
traveling waves as well. The analysis reveals the presence of several global
bifurcations near which the averaging method (used in the original analysis)
fails. We show here, using a combination of numerical continuation and the
construction of appropriate return maps, that near the global bifurcation that
terminates the branch of modulated traveling waves, the normal form for the
Takens-Bogdanov bifurcation admits cascades of period-doubling bifurcations as
well as chaotic dynamics of Shil'nikov type. Thus chaos is present arbitrarily
close to the codimension two point.


title:
Influence of departures from LTE on calcium, titanium, and iron
  abundance determinations in cool giants of different metallicities

abstract:
  Non-local thermodynamic equilibrium (non-LTE) line formation for Ca I-Ca II,
Ti I-Ti II, and Fe I-Fe II is considered in model atmospheres of giant stars
with an effective temperature of 4000 K $\le$ Teff $\le$ 5000 K and a metal
abundance of -4 $\le$ [Fe/H] $\le$ 0. The departures from LTE are analyzed
depending on atmospheric parameters. We present the non-LTE abundance
corrections for 28 lines of Ca I, 42 lines of Ti I, 54 lines of Ti II, and 262
lines of Fe I and a three-dimensional interpolation code to obtain the non-LTE
correction online (http://spectrum.inasan.ru/nLTE/) for an individual spectral
line and given atmospheric parameters.


title: Energy-Efficient Quantum Computing

abstract:
  In the near future, a major challenge in quantum computing is to scale up
robust qubit prototypes to practical problem sizes and to implement
comprehensive error correction for computational precision. Due to inevitable
quantum uncertainties in resonant control pulses, increasing the precision of
quantum gates comes with the expense of increased energy consumption.
Consequently, the power dissipated in the vicinity of the processor in a
well-working large-scale quantum computer seems unacceptably large in typical
systems requiring low operation temperatures. Here, we introduce a method for
qubit driving and show that it serves to decrease the single-qubit gate error
without increasing the average power dissipated per gate. Previously,
single-qubit gate error induced by a bosonic drive mode has been considered to
be inversely proportional to the energy of the control pulse, but we circumvent
this bound by reusing and correcting itinerant control pulses. Thus our work
suggests that heat dissipation does not pose a fundamental limitation, but a
necessary practical challenge in future implementations of large-scale quantum
computers.


title: How General Is Holography?

abstract:
  In this thesis I explore the generality of the holographic principle in 2+1
(bulk) dimensions by looking at the possibility of having holographic
correspondences for non-AdS (higher-spin) spacetimes. The first part focuses on
Lobachevsky spacetimes with $\mathfrak{sl}(4,\mathbb{R})$ as well as
$\mathcal{W}^{(2)}_N$ symmetries, the asymptotic symmetry algebras and their
unitary representations. This results in a family of unitary
$\mathcal{W}^{(2)}_N$ models that can have both small and large central charge.
The focus of the second part is a possible holographic correspondence in
asymptotically flat spacetimes. This part covers limits from known AdS$_3$
results to flat space as well as a NO-GO result that forbids having flat space,
higher-spins and unitarity at the same time. In addition this part shows how to
consistently add (higher-spin) chemical potentials to flat space. As a
non-trivial check of a holographic correspondence in flat space I provide a way
to determine entanglement entropy (as well as thermal entropy of flat space
cosmologies) holographically in asymptotically flat spacetimes using Wilson
lines.


title:
Theory of terahertz emission from femtosecond-laser-induced
  micro-plasmas

abstract:
  We present a theoretical investigation of terahertz (THz) generation in
laser-induced gas plasmas. The work is strongly motivated by recent
experimental results on micro-plasmas, but our general findings are not limited
to such a configuration. The electrons and ions are created by
tunnel-ionization of neutral atoms, and the resulting plasma is heated by
collisions. Electrons are driven by electromagnetic, convective and diffusive
sources and produce a macroscopic current which is responsible for THz
emission. The model naturally includes both, ionization current and
transition-Cherenkov mechanisms for THz emission, which are usually
investigated separately in the literature. The latter mechanism is shown to
dominate for single-color multi-cycle lasers pulses, where the observed THz
radiation originates from longitudinal electron currents. However, we find that
the often discussed oscillations at the plasma frequency do not contribute to
the THz emission spectrum. In order to predict the scaling of the conversion
efficiency with pulse energy and focusing conditions, we propose a simplified
description that is in excellent agreement with rigorous particle-in-cell
simulations.


title: Apsidal motion in the massive binary HD152218

abstract:
  Massive binary systems are important laboratories in which to probe the
properties of massive stars and stellar physics in general. In this context, we
analysed optical spectroscopy and photometry of the eccentric short-period
early-type binary HD 152218 in the young open cluster NGC 6231. We
reconstructed the spectra of the individual stars using a separating code. The
individual spectra were then compared with synthetic spectra obtained with the
CMFGEN model atmosphere code. We furthermore analysed the light curve of the
binary and used it to constrain the orbital inclination and to derive absolute
masses of 19.8 +/- 1.5 and 15.0 +/- 1.1 solar masses. Combining radial velocity
measurements from over 60 years, we show that the system displays apsidal
motion at a rate of (2.04^{+.23}_{-.24}) degree/year. Solving the
Clairaut-Radau equation, we used stellar evolution models, obtained with the
CLES code, to compute the internal structure constants and to evaluate the
theoretically predicted rate of apsidal motion as a function of stellar age and
primary mass. In this way, we determine an age of 5.8 +/- 0.6 Myr for HD
152218, which is towards the higher end of, but compatible with, the range of
ages of the massive star population of NGC 6231 as determined from isochrone
fitting.


title: Topological spin models in Rydberg lattices

abstract:
  We show that resonant dipole-dipole interactions between Rydberg atoms in a
triangular lattice can give rise to artificial magnetic fields for spin
excitations. We consider the coherent dipole-dipole coupling between $np$ and
$ns$ Rydberg states and derive an effective spin-1/2 Hamiltonian for the $np$
excitations. By breaking time-reversal symmetry via external fields we engineer
complex hopping amplitudes for transitions between two rectangular
sub-lattices. The phase of these hopping amplitudes depends on the direction of
the hop. This gives rise to a staggered, artificial magnetic field which
induces non-trivial topological effects. We calculate the single-particle band
structure and investigate its Chern numbers as a function of the lattice
parameters and the detuning between the two sub-lattices. We identify extended
parameter regimes where the Chern number of the lowest band is $C=1$ or $C=2$.


title:
On Delta Sets and their Realizable Subsets in Krull Monoids with Cyclic
  Class Groups

abstract:
  Let $M$ be a commutative cancellative monoid. The set $\Delta(M)$, which
consists of all positive integers which are distances between consecutive
factorization lengths of elements in $M$, is a widely studied object in the
theory of nonunique factorizations. If $M$ is a Krull monoid with cyclic class
group of order $n \ge 3$, then it is well-known that $\Delta(M) \subseteq \{1,
\dots, n-2\}$. Moreover, equality holds for this containment when each class
contains a prime divisor from $M$. In this note, we consider the question of
determining which subsets of $\{1, \dots, n-2\}$ occur as the delta set of an
individual element from $M$. We first prove for $x \in M$ that if $n - 2 \in
\Delta(x)$, then $\Delta(x) = \{n-2\}$ (i.e., not all subsets of $\{1,\dots,
n-2\}$ can be realized as delta sets of individual elements). We close by
proving an Archimedean-type property for delta sets from Krull monoids with
finite cyclic class group: for every natural number m, there exist a Krull
monoid $M$ with finite cyclic class group such that $M$ has an element $x$ with
$|\Delta(x)| \ge m$.


title: Picard groups for line bundles with connection

abstract:
  We study analogues of the usual Picard group for smooth analytic or
non-singular algebraic varieties but instead of line bundles we study line
bundles with a connection. We choose an approach which works for both cases.


title: Uncertainty quantification for generalized Langevin dynamics

abstract:
  We present efficient finite difference estimators for goal-oriented
sensitivity indices with applications to the generalized Langevin equation
(GLE). In particular, we apply these estimators to analyze an extended variable
formulation of the GLE where other well known sensitivity analysis techniques
such as the likelihood ratio method are not applicable to key parameters of
interest. These easily implemented estimators are formed by coupling the
nominal and perturbed dynamics appearing in the finite difference through a
common driving noise, or common random path. After developing a general
framework for variance reduction via coupling, we demonstrate the optimality of
the common random path coupling in the sense that it produces a minimal
variance surrogate for the difference estimator relative to sampling dynamics
driven by independent paths. In order to build intuition for the common random
path coupling, we evaluate the efficiency of the proposed estimators for a
comprehensive set of examples of interest in particle dynamics. These reduced
variance difference estimators are also a useful tool for performing global
sensitivity analysis and for investigating non-local perturbations of
parameters, such as increasing the number of Prony modes active in an extended
variable GLE.


title:
Instability of spiral and scroll waves in the presence of a gradient in
  the fibroblast density: the effects of fibroblast-myocyte coupling

abstract:
  Fibroblast-myocyte coupling can modulate electrical-wave dynamics in cardiac
tissue. In diseased hearts, the distribution of fibroblasts is heterogeneous,
so there can be gradients in the fibroblast density (henceforth we call this
GFD) especially from highly injured regions, like infarcted or ischemic zones,
to less-wounded regions of the tissue. Fibrotic hearts are known to be prone to
arrhythmias, so it is important to understand the effects of GFD in the
formation and sustenance of arrhythmic re- entrant waves, like spiral or scroll
waves. Therefore, we investigate the effects of GFD on the stability of spiral
and scroll waves of electrical activation in a state-of-the- art mathematical
model for cardiac tissue in which we also include fibroblasts. By introducing
GFD in controlled ways, we show that spiral and scroll waves can be unstable in
the presence of GFDs because of regions with varying spiral or scroll-wave
frequency {\omega}, induced by the GFD. We examine the effects of the resting
membrane potential of the fibroblast and the number of fibroblasts attached to
the myocytes on the stability of these waves. Finally, we show that the
presence of GFDs can lead to the formation of spiral waves at high-frequency
pacing.


title:
Lumped finite element method for reaction-diffusion systems on compact
  surfaces

abstract:
  We propose and analyse a novel surface finite element method that preserves
the invariant regions of systems of semilinear parabolic equations on closed
compact surfaces in $\mathbb{R}^3$ under discretisation. We also provide a
fully-discrete scheme by applying the implicit-explicit (IMEX) Euler method in
time. We prove the preservation of the invariant rectangles of the continuous
problem under spatial and full discretizations. For scalar equations, these
results reduce to the well-known discrete maximum principle. Furthermore, we
prove optimal error bounds for the semi- and fully-discrete methods, that is
the convergence rates are quadratic in the meshsize and linear in the timestep.
Numerical experiments are provided to support the theoretical findings. In
particular we provide examples in which, in the absence of lumping, the
numerical solution violates the invariant region leading to blow-up due to the
nature of the kinetics.


title: Degeneracy breakdown as a source of supernovae Ia

abstract:
  We pursue the investigation of a model for sub-Chandrasekhar supernovae Ia
explosions (SNIa) in which the energy stored in the Pauli tower is released to
trigger a nuclear deflagration. The simplest physical model for such a
degeneracy breakdown is a phase transition to an exactly supersymmetric state
in which the scalar partners of protons, neutrons, and leptons become
degenerate with the familiar fermions of our world as in the supersymmetric
standard model with susy breaking parameters relaxed to zero. We focus on the
ability of the susy phase transition model to fit the total SNIa rate as well
as the delay time distribution of SNIa after the birth of a progenitor white
dwarf. We also study the ejected mass distribution and its correlation with
delay time. Finally, we discuss the expected SNIa remnant in the form of a
black hole of Jupiter mass or lower and the prospects for detecting such
remnants.


title:
Variational methods for the selection of solutions to an implicit system
  of PDEs

abstract:
  We consider the vectorial system \[ \begin{cases} Du \in \mathcal{O}(2), &
\mbox{a.e. in}\;\Omega, u=0, & \mbox{on} \;\partial \Omega, \end{cases} \]
where $\Omega$ is a subset of $\R^2$, $u:\Omega\to \R^2$ and $\mathcal{O}(2)$
is the orthogonal group of $\R^2$. We provide a variational method to select,
among the infinitely many solutions, the ones that minimize an appropriate
weighted measure of the singular set of the gradient.


title:
An Interactive Segmentation Tool for Quantifying Fat in Lumbar Muscles
  using Axial Lumbar-Spine MRI

abstract:
  In this paper we present an interactive tool that can be used to quantify fat
infiltration in lumbar muscles, which is useful in studying fat infiltration
and lower back pain (LBP) in adults. Currently, a qualitative assessment by
visual grading via a 5-point scale is used to study fat infiltration in lumbar
muscles from an axial view of lumbar-spine MR Images. However, a quantitative
approach (on a continuous scale of 0-100\%) may provide a greater insight. In
this paper, we propose a method to precisely quantify the fat deposition /
infiltration in a user-defined region of the lumbar muscles, which may aid
better diagnosis and analysis. The key steps are interactively segmenting the
region of interest (ROI) from the lumbar muscles using the well known livewire
technique, identifying fatty regions in the segmented region based on
variable-selection of threshold and softness levels, automatically detecting
the center of the spinal column and fragmenting the lumbar muscles into smaller
regions with reference to the center of the spinal column, computing key
parameters [such as total and region-wise fat content percentage, total-cross
sectional area (TCSA) and functional cross-sectional area (FCSA)] and exporting
the computations and associated patient information from the MRI, into a
database. A standalone application using MATLAB R2014a was developed to perform
the required computations along with an intuitive graphical user interface
(GUI).


title: A Hierarchical Model of Reviews for Aspect-based Sentiment Analysis

abstract:
  Opinion mining from customer reviews has become pervasive in recent years.
Sentences in reviews, however, are usually classified independently, even
though they form part of a review's argumentative structure. Intuitively,
sentences in a review build and elaborate upon each other; knowledge of the
review structure and sentential context should thus inform the classification
of each sentence. We demonstrate this hypothesis for the task of aspect-based
sentiment analysis by modeling the interdependencies of sentences in a review
with a hierarchical bidirectional LSTM. We show that the hierarchical model
outperforms two non-hierarchical baselines, obtains results competitive with
the state-of-the-art, and outperforms the state-of-the-art on five
multilingual, multi-domain datasets without any hand-engineered features or
external resources.


title:
INSIGHT-1 at SemEval-2016 Task 4: Convolutional Neural Networks for
  Sentiment Classification and Quantification

abstract:
  This paper describes our deep learning-based approach to sentiment analysis
in Twitter as part of SemEval-2016 Task 4. We use a convolutional neural
network to determine sentiment and participate in all subtasks, i.e. two-point,
three-point, and five-point scale sentiment classification and two-point and
five-point scale sentiment quantification. We achieve competitive results for
two-point scale sentiment classification and quantification, ranking fifth and
a close fourth (third and second by alternative metrics) respectively despite
using only pre-trained embeddings that contain no sentiment information. We
achieve good performance on three-point scale sentiment classification, ranking
eighth out of 35, while performing poorly on five-point scale sentiment
classification and quantification. An error analysis reveals that this is due
to low expressiveness of the model to capture negative sentiment as well as an
inability to take into account ordinal information. We propose improvements in
order to address these and other issues.


title:
Non-diagonal four-dimensional cohomogeneity-one Einstein metrics in
  various signatures

abstract:
  Most known four-dimensional cohomogeneity-one Einstein metrics are diagonal
in the basis defined by the left-invariant one-forms, though some essentially
non-diagonal ones are known. We consider the problem of explicitly seeking
non-diagonal Einstein metrics, and we find solutions which in some cases
exhaust the possibilities. In particular we construct new examples of neutral
signature non--diagonal Bianchi type VIII Einstein metrics with self--dual Weyl
tensor.


title:
INSIGHT-1 at SemEval-2016 Task 5: Deep Learning for Multilingual
  Aspect-based Sentiment Analysis

abstract:
  This paper describes our deep learning-based approach to multilingual
aspect-based sentiment analysis as part of SemEval 2016 Task 5. We use a
convolutional neural network (CNN) for both aspect extraction and aspect-based
sentiment analysis. We cast aspect extraction as a multi-label classification
problem, outputting probabilities over aspects parameterized by a threshold. To
determine the sentiment towards an aspect, we concatenate an aspect vector with
every word embedding and apply a convolution over it. Our constrained system
(unconstrained for English) achieves competitive results across all languages
and domains, placing first or second in 5 and 7 out of 11 language-domain pairs
for aspect category detection (slot 1) and sentiment polarity (slot 3)
respectively, thereby demonstrating the viability of a deep learning-based
approach for multilingual aspect-based sentiment analysis.


title:
Causal Stroh formalism for uniformly-moving dislocations in anisotropic
  media: Somigliana dislocations and Mach cones

abstract:
  In this work, Stroh's formalism is endowed with causal properties on the
basis of an analysis of the radiation condition in the Green tensor of the
elastodynamic wave equation. The modified formalism is applied to dislocations
moving uniformly in an anisotropic medium. In practice, accounting for
causality amounts to a simple analytic continuation procedure whereby to the
dislocation velocity is added an infinitesimal positive imaginary part. This
device allows for a straightforward computation of velocity-dependent field
expressions that are valid whatever the dislocation velocity ---including
supersonic regimes--- without needing to consider subsonic and supersonic cases
separately. As an illustration, the distortion field of a Somigliana
dislocation of the Peierls-Nabarro-Eshelby-type with finite-width core is
computed analytically, starting from the Green tensor of elastodynamics. To
obtain the result in the form of a single compact expression, use of the
modified Stroh formalism requires splitting the Green function into its
reactive and radiative parts. In supersonic regimes, the solution obtained
displays Mach cones, which are supported by Dirac measures in the Volterra
limit. From these results, an explanation of Payton's `backward' Mach cones
[R.G. Payton, Z. Angew. Math. Phys. 46, 282--288 (1995)] is given in terms of
slowness surfaces, and a simple criterion for their existence is derived. The
findings are illustrated by full-field calculations from analytical formulas
for a dislocation of finite width in iron, and by Huygens-type geometric
constructions of Mach cones from ray surfaces.


title:
No Free Charge Theorem: a Covert Channel via USB Charging Cable on
  Mobile Devices

abstract:
  More and more people are regularly using mobile and battery-powered handsets,
such as smartphones and tablets. At the same time, thanks to the technological
innovation and to the high user demands, those devices are integrating
extensive functionalities and developers are writing battery-draining apps,
which results in a surge of energy consumption of these devices. This scenario
leads many people to often look for opportunities to charge their devices at
public charging stations: the presence of such stations is already prominent
around public areas such as hotels, shopping malls, airports, gyms and museums,
and is expected to significantly grow in the future. While most of the time the
power comes for free, there is no guarantee that the charging station is not
maliciously controlled by an adversary, with the intention to exfiltrate data
from the devices that are connected to it.
  In this paper, we illustrate for the first time how an adversary could
leverage a maliciously controlled charging station to exfiltrate data from the
smartphone via a USB charging cable (i.e., without using the data transfer
functionality), controlling a simple app running on the device, and without
requiring any permission to be granted by the user to send data out of the
device. We show the feasibility of the proposed attack through a prototype
implementation in Android, which is able to send out potentially sensitive
information, such as IMEI, contacts' phone number, and pictures.


title:
New agegraphic dark energy in Brans-Dicke theory with logarithmic form
  of scalar field

abstract:
  In a very recent paper, the current authors (arXiv:gr-qc/1609.01477) have
proposed and analyzed in detail the logarithmic form of Brans-Dicke scalar
field $\phi$ as $\phi \propto ln(\alpha+\beta a)$, where $\alpha$ and $\beta$
are positive constants, to alleviate the problems of interacting holographic
dark energy models in Brans-Dicke theory. In this paper, the cosmological
evolution of a new agegraphic dark energy (NADE) model within the framework of
Friedmann-Robertson-Walker Universe is analyzed with the same form of scalar
field in Brans-Dicke theory. We derive the equation of state parameter $w_D$
and deceleration parameter $q$ of NADE model. It is observed that
$w_D\rightarrow -1$ when $a\rightarrow \infty$, i.e., the NADE mimics
cosmological constant in the late time evolution. Indeed, due to the assumption
of logarithmic form of Brans-Dicke scalar field the NADE in Brans-Dicke theory
behaves like NADE in general relativity in the late time evolution. The NADE
model shows a phase transition from matter dominated phase in early time to
accelerated phase in late time. We further extend NADE model by including the
interaction between dark matter and NADE. In this case, $w_D$ definitely
crosses the phantom divide line ($w_D=-1$) in the late time evolution. The
phase transition from matter dominated to NADE dominated phase may be achieved
at early stage in interacting model. Further, we show that the interacting NADE
model resolves the cosmic coincidence problem as the energy density ratio may
evolve sufficiently slow at present.


title:
Packing, alignment and flow of shape-anisotropic grains in a 3D silo
  experiment

abstract:
  Granular material flowing through bottlenecks like the openings of silos tend
to clog and to inhibit further flow. We study this phenomenon in a
three-dimensional hopper for spherical and shape-anisotropic particles by means
of X-ray tomography. The X-ray tomograms provide information on the bulk of the
granular filling, and allows to determine the particle positions and
orientations inside the silo. In addition, it allows to calculate local packing
densities in different parts of the container. We find that in the flowing zone
of the silo particles show a preferred orientation and thereby a higher order.
Similarly to simple shear flows, the average orientation of the particles is
not parallel to the streamlines but encloses a certain angle with it. In most
parts of the hopper, the angular distribution of the particles did not reach
the one corresponding to stationary shear flow, thus the average orientation
angle in the hopper deviates more from the streamlines than in stationary shear
flows. In the flowing parts of the silo shear induced dilation is observed,
which is more pronounced for elongated grains than for nearly spherical
particles. The clogged state is characterized by a dome, i. e. the geometry of
the layer of grains blocking the outflow. The shape of the dome depends on the
particle shape.


title: Typing weak MSOL properties

abstract:
  We consider lambda-Y-calculus as a non-interpreted functional programming
language: the result of the execution of a program is its normal form that can
be seen as the tree of calls to built-in operations. Weak monadic second-order
logic (wMSOL) is well suited to express properties of such trees. We give a
type system for ensuring that the result of the execution of a lambda-Y-program
satisfies a given wMSOL property. In order to prove soundness and completeness
of the system we construct a denotational semantics of lambda-Y-calculus that
is capable of computing properties expressed in wMSOL.


title: Time-bin Entanglement from Quantum Dots

abstract:
  The desire to have a source of single entangled photon pairs can be satisfied
using single quantum dots as emitters. However, we are not bound to pursue only
polarization entanglement, but can also exploit other degrees of freedom. In
this chapter we focus on the time degree of freedom, to achieve so-called
time-bin entanglement. This requires that we prepare the quantum dot coherently
into the biexciton state and also build special interferometers for analysis.
Finally this technique can be extended to achieve time-bin and polarization
hyper-entanglement from a suitable quantum dot.

categories: quant-ph cond-mat.mes-hall cond-mat.other physics.optics


title: Classification of $Q$-homogeneous skew Schur $Q$-functions

abstract:
  We classify the $Q$-homogeneous skew Schur $Q$-functions, i.e., those of the
form $Q_{\lambda/\mu} = k \cdot Q_{\nu}$. On the way we develop new tools that
are useful also in the context of other classification problems for skew Schur
$Q$-functions.


title: Enumerating meandric systems with large number of loops

abstract:
  We investigate meandric systems with a large number of loops using tools
inspired by free probability. For any fixed integer $r$, we express the
generating function of meandric systems on $2n$ points with $n-r$ loops in
terms of a finite (the size depends on $r$) subclass of irreducible meandric
systems, via the moment-cumulant formula from free probability theory. We show
that the generating function, after an appropriate change of variable, is a
rational function, and we bound its degree. Exact expressions for the
generating functions are obtained for $r \leq 6$, as well as the asymptotic
behavior of the meandric numbers for general $r$.


title:
A generalization of the exponential sampling series and its
  approximation properties

abstract:
  Here we introduce a generalization of the exponential sampling series of
optical physics and establish pointwise and uniform convergence theorem, also
in a quantitative form. Moreover we compare the error of approximation for
Mellin band-limited functions using both classical and generalized exponential
sampling series.


title: Quantum phases and entanglement properties of an extended Dicke model

abstract:
  We study a simple model describing superradiance in a system of two-level
atoms interacting with a single-mode bosonic field. The model permits a
continuous crossover between integrable and partially chaotic regimes and shows
a complex thermodynamic and quantum phase structure. Several types of
excited-state quantum phase transitions separate quantum phases that are
characterized by specific energy dependences of various observables and by
different atom-field and atom-atom entanglement properties. We observe an
approximate revival of some states from the weak atom-field coupling limit in
the strong coupling regime.


title:
Uninterrupted optical light curves of main-belt asteroids from the K2
  Mission

abstract:
  Due to the failure of the second reaction wheel, a new mission was conceived
for the otherwise healthy Kepler space telescope. In the course of the K2
Mission, the telescope is staring at the plane of the Ecliptic, hence thousands
of Solar System bodies cross the K2 fields, usually causing extra noise in the
highly accurate photometric data. In this paper we follow the someone's noise
is another one's signal principle and investigate the possibility of deriving
continuous asteroid light curves, that has been unprecedented to date. In
general, we are interested in the photometric precision that the K2 Mission can
deliver on moving Solar System bodies. In particular, we investigate space
photometric optical light curves of main-belt asteroids. We study the K2
superstamps covering the M35 and Neptune/Nereid fields observed in the long
cadence (29.4-min sampling) mode. Asteroid light curves are generated by
applying elongated apertures. We use the Lomb-Scargle method to find
periodicities due to rotation. We derived K2 light curves of 924 main-belt
asteroids in the M35 field, and 96 in the path of Neptune and Nereid. The light
curves are quasi-continuous and several days long. K2 observations are
sensitive to longer rotational periods than usual ground-based surveys.
Rotational periods are derived for 26 main-belt asteroids for the first time.
The asteroid sample is dominated by faint (>20 mag) objects. Due to the
faintness of the asteroids and the high density of stars in the M35 field, only
4.0% of the asteroids with at least 12 data points show clear periodicities or
trend signalling a long rotational period, as opposed to 15.9% in the less
crowded Neptune field. We found that the duty cycle of the observations had to
reach ~60% in order to successfully recover rotational periods.


title:
The heart of the swarm: K2 photometry and rotational characteristics of
  56 Jovian Trojan asteroids

abstract:
  We present fully covered phased light curves for 56 Jovian Trojan asteroids
as acquired by the K2 mission of the Kepler space telescope. This set of
objects has been monitored during Campaign 6 and represents a nearly unbiased
subsample of the population of small Solar System bodies. We derived precise
periods and amplitudes for all Trojans, and found their distributions to be
compatible with the previous statistics. We point out, however, that
ground-based rotation periods are often unreliable above 20h, and we find an
overabundance of rotation periods above 60h compared with other minor planet
populations. From amplitude analysis we derive a rate of binarity of 20$\pm$
5%. Our spin rate distribution confirms the previously obtained spin barrier of
~5h and the corresponding ~0.5 g cm$^{-3}$ cometary-like density limit, also
suggesting a high internal porosity for Jovian Trojans. One of our targets,
asteroid 65227 exhibits a double rotation period, which can either be due to
binarity or the outcome of a recent collision.


title: Oxidation-assisted graphene heteroepitaxy on copper foil

abstract:
  We propose an innovative, easy-to-implement approach to synthesize large-area
singlecrystalline graphene sheets by chemical vapor deposition on copper foil.
This method doubly takes advantage of residual oxygen present in the gas phase.
First, by slightly oxidizing the copper surface, we induce grain boundary
pinning in copper and, in consequence, the freezing of the thermal
recrystallization process. Subsequent reduction of copper under hydrogen
suddenly unlocks the delayed reconstruction, favoring the growth of
centimeter-sized copper (111) grains through the mechanism of abnormal grain
growth. Second, the oxidation of the copper surface also drastically reduces
the nucleation density of graphene. This oxidation/reduction sequence leads to
the synthesis of aligned millimeter-sized monolayer graphene domains in
epitaxial registry with copper (111). The as-grown graphene flakes are
demonstrated to be both single-crystalline and of high quality.


title:
Convergence rates of moment-sum-of-squares hierarchies for optimal
  control problems

abstract:
  We study the convergence rate of moment-sum-of-squares hierarchies of
semidefinite programs for optimal control problems with polynomial data. It is
known that these hierarchies generate polynomial under-approximations to the
value function of the optimal control problem and that these
under-approximations converge in the L1 norm to the value function as their
degree d tends to infinity. We show that the rate of this convergence is O(1/
log log d). We treat in detail the continuous-time infinite-horizon discounted
problem and describe in brief how the same rate can be obtained for the
finite-horizon continuous-time problem and for the discrete-time counterparts
of both problems.


title:
Acoustic Wave Field Reconstruction from Compressed Measurements with
  Application in Photoacoustic Tomography

abstract:
  We present a method for the recovery of compressively sensed acoustic fields
using patterned, instead of point-by-point, detection. From a limited number of
such compressed measurements, we propose to reconstruct the field on the sensor
plane in each time step independently assuming its sparsity in a Curvelet
frame. A modification of the Curvelet frame is proposed to account for the
smoothing effects of data acquisition and motivated by a frequency domain model
for photoacoustic tomography. An ADMM type algorithm, SALSA, is used to recover
the pointwise data in each individual time step from the patterned
measurements. For photoacoustic applications, the photoacoustic image of the
initial pressure is reconstructed using time reversal in ${\bf k}$-Wave
Toolbox.


title: When game comparison becomes play: Absolutely Categorical Game Theory

abstract:
  Absolute Universes of combinatorial games, as defined in a recent paper by
the same authors, include many standard short normal- mis\`ere- and
scoring-play monoids. In this note we show that the class is categorical, by
extending Joyal's construction of arrows in normal-play games. Given $G$ and
$H$ in an Absolute Universe $U$, we study instead the Left Provisonal Game $[G,
H]$, which is a normal-play game, independently of the particular Absolute
Universe, and find that $G\longrightarrow H$ (implying $G\succcurlyeq H$)
corresponds to the set of winning strategies for Left playing second in
$[G,H]$. By this we define the category ${\bf LNP(U)}$.


title: Ideals of the form $I_{1}(XY)$

abstract:
  In this paper we compute Gr\"obner bases for determinantal ideals of the form
$I_{1}(XY)$, where $X$ and $Y$ are both matrices whose entries are
indeterminates over a field $K$. We use the Gr\"obner basis structure to
determine Betti numbers for such ideals.


title:
Isomerism in the "south-east" of $^{132}$Sn and a predicted
  neutron-decaying isomer in $^{129}$Pd

abstract:
  Excited states in neutron-rich nuclei located south-east of $^{132}$Sn are
investigated by shell-model calculations. A new shell-model Hamiltonian is
constructed for the present study. The proton-proton and neutron-neutron
interactions of the Hamiltonian are obtained through the existing CD-Bonn $G$
matrix results, while the proton-neutron interaction across two major shells is
derived from the monopole based universal interaction plus the M3Y spin-orbit
force. The present Hamiltonian can reproduce well the experimental data
available in this region, including one-neutron separation energies, level
energies and the experimental $B(E2)$ values of isomers in $^{134,136,138}$Sn,
$^{130}$Cd, and $^{128}$Pd. New isomers are predicted in this region, $e.g.$ in
$^{135}$Sn, $^{131}$Cd, $^{129}$Pd, $^{132,134}$In and $^{130}$Ag, in which
almost no excited states are known experimentally yet. In the odd-odd
$^{132,134}$In and $^{130}$Ag, the predicted very long $E2$ life-times of the
low-lying $5^{-}$ states are discussed, demanding more information on the
related proton-neutron interaction. The low-lying states of $^{132}$In are
discussed in connection with the recently observed $\gamma$ rays. The predicted
$19/2^{-}$ isomer in $^{129}$Pd could decay by both electromagnetic transitions
and neutron emission with comparable partial life-times, making it a good
candidate for neutron radioactivity, a decay mode which is yet to be
discovered.


title:
HAT-P-65b and HAT-P-66b: Two Transiting Inflated Hot Jupiters and
  Observational Evidence for the Re-Inflation of Close-In Giant Planets

abstract:
  We present the discovery of the transiting exoplanets HAT-P-65b and
HAT-P-66b, with orbital periods of 2.6055 d and 2.9721 d, masses of $0.527 \pm
0.083$ M$_{J}$ and $0.783 \pm 0.057$ M$_{J}$ and inflated radii of $1.89 \pm
0.13$ R$_{J}$ and $1.59^{+0.16}_{-0.10}$ R$_{J}$, respectively. They orbit
moderately bright ($V=13.145 \pm 0.029$, and $V=12.993 \pm 0.052$) stars of
mass $1.212 \pm 0.050$ M$_{\odot}$ and $1.255^{+0.107}_{-0.054}$ M$_{\odot}$.
The stars are at the main sequence turnoff. While it is well known that the
radii of close-in giant planets are correlated with their equilibrium
temperatures, whether or not the radii of planets increase in time as their
hosts evolve and become more luminous is an open question. Looking at the
broader sample of well-characterized close-in transiting giant planets, we find
that there is a statistically significant correlation between planetary radii
and the fractional ages of their host stars, with a false alarm probability of
only 0.0041%. We find that the correlation between the radii of planets and the
fractional ages of their hosts is fully explained by the known correlation
between planetary radii and their present day equilibrium temperatures, however
if the zero-age main sequence equilibrium temperature is used in place of the
present day equilibrium temperature then a correlation with age must also be
included to explain the planetary radii. This suggests that, after contracting
during the pre-main-sequence, close-in giant planets are re-inflated over time
due to the increasing level of irradiation received from their host stars.
Prior theoretical work indicates that such a dynamic response to irradiation
requires a significant fraction of the incident energy to be deposited deep
within the planetary interiors.


title:
Naturality properties and comparison results for topological and
  infinitesimal embedded jump loci

abstract:
  We use augmented commutative differential graded algebra (ACDGA) models to
study $G$-representation varieties of fundamental groups $\pi=\pi_1(M)$ and
their embedded cohomology jump loci, around the trivial representation 1. When
the space $M$ admits a finite family of maps, uniformly modeled by ACDGA
morphisms, and certain finiteness and connectivity assumptions are satisfied,
the germs at 1 of ${\rm Hom} (\pi,G)$ and of the embedded jump loci can be
described in terms of their infinitesimal counterparts, naturally with respect
to the given families. This approach leads to fairly explicit answers when $M$
is either a compact K\"ahler manifold, the complement of a central complex
hyperplane arrangement, or the total space of a principal bundle with formal
base space, provided the Lie algebra of the linear algebraic group $G$ is a
non-abelian subalgebra of $\mathfrak{sl}_2(\mathbb{C})$.


title: DELTA: Data Extraction and Logging Tool for Android

abstract:
  In the past few years, the use of smartphones has increased exponentially,
and so have the capabilities of such devices. Together with an increase in raw
processing power, modern smartphones are equipped with a wide variety of
sensors and expose an extensive set of API (Accessible Programming Interface).
These capabilities allow us to extract a wide spectrum of data that ranges from
information about the environment (e.g., position, orientation) to user habits
(e.g., which apps she uses and when), as well as about the status of the
operating system itself (e.g., memory, network adapters). This data can be
extremely valuable in many research fields such as user authentication,
intrusion detection and detection of information leaks. For these reasons,
researchers need to use a solid and reliable logging tool to collect data from
mobile devices.
  In this paper, we first survey the existing logging tools available on the
Android platform, comparing the features offered by different tools and their
impact on the system, and highlighting some of their shortcomings. Then, we
present DELTA - Data Extraction and Logging Tool for Android, which improves
the existing Android logging solutions in terms of flexibility, fine-grained
tuning capabilities, extensibility, and available set of logging features. We
performed a full implementation of DELTA and we run a thorough evaluation on
its performance. The results show that our tool has low impact on the
performance of the system, on battery consumption, and on user experience.
Finally, we make the DELTA source code and toolset available to the research
community.


title: Image and Video Mining through Online Learning

abstract:
  Within the field of image and video recognition, the traditional approach is
a dataset split into fixed training and test partitions. However, the labelling
of the training set is time-consuming, especially as datasets grow in size and
complexity. Furthermore, this approach is not applicable to the home user, who
wants to intuitively group their media without tirelessly labelling the
content. Our interactive approach is able to iteratively cluster classes of
images and video. Our approach is based around the concept of an image
signature which, unlike a standard bag of words model, can express
co-occurrence statistics as well as symbol frequency. We efficiently compute
metric distances between signatures despite their inherent high dimensionality
and provide discriminative feature selection, to allow common and distinctive
elements to be identified from a small set of user labelled examples. These
elements are then accentuated in the image signature to increase similarity
between examples and pull correct classes together. By repeating this process
in an online learning framework, the accuracy of similarity increases
dramatically despite labelling only a few training examples. To demonstrate
that the approach is agnostic to media type and features used, we evaluate on
three image datasets (15 scene, Caltech101 and FG-NET), a mixed text and image
dataset (ImageTag), a dataset used in active learning (Iris) and on three
action recognition datasets (UCF11, KTH and Hollywood2). On the UCF11 video
dataset, the accuracy is 86.7% despite using only 90 labelled examples from a
dataset of over 1200 videos, instead of the standard 1122 training videos. The
approach is both scalable and efficient, with a single iteration over the full
UCF11 dataset of around 1200 videos taking approximately 1 minute on a standard
desktop machine.


title: A numerical note on upper bounds for b 2 [g] sets

abstract:
  Sidon sets are those sets such that the sums of two of its elements never
coincide. They go back to the 30s when Sidon asked for the maximal size of a
subset of consecutive integers with that property. This question is now
answered in a satisfactory way. Their natural generalization, called B 2 [g]
sets and defined by the fact that there are at most g ways (up to reordering
the summands) to represent a given integer as a sum of two elements of the set,
are much more difficult to handle and not as well understood. In this article,
using a numerical approach, we improve the best upper estimates on the size of
a B 2 [g] set in an interval of integers in the cases g = 2, 3, 4 and 5.


title:
On Rank Two Toda System with Arbitrary Singularities: Local Mass and New
  Estimates

abstract:
  For all rank two Toda systems with an arbitrary singular source, we use a
unified approach to prove: (i) The pair of local masses $(\sigma_1,\sigma_2)$
at each blowup point has the expression
$$\sigma_i=2(N_{i1}\mu_1+N_{i2}\mu_2+N_{i3}),$$ where
$N_{ij}\in\mathbb{Z},~i=1,2,~j=1,2,3.$ (ii) Suppose at each vortex point $p_t$,
$(\alpha_1^t,\alpha_2^t)$ are integers and $\rho_i\notin 4\pi\mathbb{N}$, then
all the solutions of Toda systems are uniformly bounded. (iii) If the blow up
point $q$ is not a vortex point, then $$u^k(x)+2\log|x-x^k|\leq C,$$ where
$x^k$ is the local maximum point of $u^k$ near $q$. (iv) If the blow up point
$q$ is a vortex point $p_t$ and $\alpha_t^1,\alpha_t^2$ and $1$ are linearly
independent over $Q$, then $$u^k(x)+2\log|x-p_t|\leq C.$$ The Harnack type
inequalities of (iii) or (iv) is important for studying the bubbling behaves
near each blow up point.


title:
Chemical potential in active systems: predicting phase equilibrium from
  bulk equations of state?

abstract:
  We derive a microscopic expression for a quantity $\mu$ that plays the role
of chemical potential of Active Brownian Particles (ABPs) in a steady state in
the absence of vortices. We show that $\mu$ consists of (i) an intrinsic
chemical potential similar to passive systems, which depends on density and
self-propulsion speed, but not on the external potential, (ii) the external
potential, and (iii) a newly derived one-body swim potential due to the
activity of the particles. Our simulations on active Brownian particles show
good agreement with our Fokker-Planck calculations, and confirm that $\mu(z)$
is spatially constant for several inhomogeneous active fluids in their steady
states in a planar geometry. Finally, we show that phase coexistence of ABPs
with a planar interface satisfies not only mechanical but also diffusive
equilibrium. The coexistence can be well-described by equating the bulk
chemical potential and bulk pressure obtained from bulk simulations for systems
with low activity but requires explicit evaluation of the interfacial
contributions at high activity.


title: Value at risk and the diversification dogma

abstract:
  The so-called risk diversification principle is analyzed, showing that its
convenience depends on individual characteristics of the risks involved and the
dependence relationship among them.
  -----
  Se analiza el principio de diversificaci\'on de riesgos y se demuestra que no
siempre resulta mejor que no diversificar, pues esto depende de
caracter\'isticas individuales de los riesgos involucrados, as\'i como de la
relaci\'on de dependencia entre los mismos.


title:
Werner Heisenberg and the German Uranium Project 1939 - 1945. Myths and
  Facts

abstract:
  The results of a careful analysis of all the available information on the
activities of Heisenberg and of his talks during the years 1939 to 1945 can be
summarized in the following way. Like several other German physicists
Heisenberg was drafted by German Army Ordnance when war began in Europe in
September 1939 to investigate whether the energy from splitting Uranium nuclei
by neutrons could be used for technical and military purposes. Heisenberg found
that this is possible in principle but that military use would require such
enormous industrial expenditures that it would take many years and would be
impracticable while the war lasted. The project was therefore dropped by the
Nazi government in 1942. Heisenberg even refrained from calculating a precise
value for the critical mass of U 235. He was relieved that he was thus spared a
moral decision between obeying an order to build the bomb or risking his life
by refusing to be involved in the project or sabotaging it. He was happy to be
confined to a project of building a small test reactor under civilian
administration that the government had approved. In 1941 Heisenberg tried to
get the opinion of Niels Bohr in Copenhagen on what the international community
of nuclear physicist could possibly do or prevent regarding the long-range
technical feasibility of making nuclear weapons. Bohr completely misunderstood
the cautious approach of Heisenberg.


title: Multiscale spacetimes from first principles

abstract:
  Assuming only a smooth and slow change of spacetime dimensionality at large
scales, we find, in a background- and model-independent way, the general
profile of the Hausdorff and the spectral dimension of multiscale geometries
such as those found in all known quantum gravities. Examples of various
scenarios are given. In particular, we derive uniquely the multiscale measure
with log oscillations of theories of multifractional geometry. Predictivity of
this class of models and falsifiability of their abundant phenomenology are
thus established.


title:
Heat transport in Rayleigh-Benard convection and angular momentum
  transport in Taylor-Couette flow: a comparative study

abstract:
  Rayleigh-Benard convection and Taylor-Couette flow are two canonical flows
that have many properties in common. We here compare the two flows in detail
for parameter values where the Nusselt numbers, i.e. the thermal transport and
the angular momentum transport normalized by the corresponding laminar values,
coincide. We study turbulent Rayleigh-Benard convection in air at Rayleigh
number Ra=1e7 and Taylor-Couette flow at shear Reynolds number Re_S=2e4 for two
different mean rotation rates but the same Nusselt numbers. For individual
pairwise related fields and convective currents, we compare the probability
density functions normalized by the corresponding root mean square values and
taken at different distances from the wall. We find one rotation number for
which there is very good agreement between the mean profiles of the two
corresponding quantities temperature and angular momentum. Similarly, there is
good agreement between the fluctuations in temperature and velocity components.
For the heat and angular momentum currents, there are differences in the
fluctuations outside the boundary layers that increase with overall rotation
and can be related to differences in the flow structures in the boundary layer
and in the bulk. The study extends the similarities between the two flows from
global quantities to local quantities and reveals the effects of rotation on
the transport.


title: $K^{*}$ vector meson resonances dynamics in heavy-ion collisions

abstract:
  We study the strange vector meson ($K^*, \bar K^*$) dynamics in relativistic
heavy-ion collisions based on the microscopic Parton-Hadron-String Dynamics
(PHSD) transport approach which incorporates partonic and hadronic
degrees-of-freedom, a phase transition from hadronic to partonic matter -
Quark-Gluon-Plasma (QGP) - and a dynamical hadronization of quarks and
antiquarks as well as final hadronic interactions. We investigate the role of
in-medium effects on the $K^*, \bar K^*$ meson dynamics by employing
Breit-Wigner spectral functions for the $K^*$'s with self-energies obtained
from a self-consistent coupled-channel G-matrix approach. Furthermore, we
confront the PHSD calculations with experimental data for p+p, Cu+Cu and Au+Au
collisions at energies up to $\sqrt{{s}_{NN}} = 200$~GeV. Our analysis shows
that at relativistic energies most of the final $K^*$s (observed
experimentally) are produced during the late hadronic phase, dominantly by the
$K+ \pi \to K^*$ channel, such that the fraction of the $K^*$s from the QGP is
small and can hardly be reconstructed from the final observables. The influence
of the in-medium effects on the $K^*$ dynamics at RHIC energies is rather
modest due to their dominant production at low baryon densities (but high meson
densities), however, it increases with decreasing beam energy. Moreover, we
find that the additional cut on the invariant mass region of the $K^*$ further
influences the shape and the height of the final spectra. This imposes severe
constraints on the interpretation of the experimental results.


abstract:
  We prove $L^p-L^q$ Carleman estimates with convex power weights $|x|^\beta$,
extending previous work by J. O. Str\"omberg.


title: Enhanced Thermal Object Imaging by Photon Addition or Subtraction

abstract:
  Long-baseline interferometry (LBI) is used to reconstruct the image of faint
thermal objects. The image quality, for a given exposure time, is in general
limited by a low signal-to-noise ratio (SNR). We show theoretically that a
significant increase of the SNR, in a LBI, is possible by adding or subtracting
photons to the thermal beam. At low photon counts, photon addition-subtraction
technology strongly enhances the image quality. We have experimentally realized
a nondeterministic physical protocol for photon subtraction. Our theoretical
predictions are supported by experimental results.


title:
An empirical study on the effects of different types of noise in image
  classification tasks

abstract:
  Image classification is one of the main research problems in computer vision
and machine learning. Since in most real-world image classification
applications there is no control over how the images are captured, it is
necessary to consider the possibility that these images might be affected by
noise (e.g. sensor noise in a low-quality surveillance camera). In this paper
we analyse the impact of three different types of noise on descriptors
extracted by two widely used feature extraction methods (LBP and HOG) and how
denoising the images can help to mitigate this problem. We carry out
experiments on two different datasets and consider several types of noise,
noise levels, and denoising methods. Our results show that noise can hinder
classification performance considerably and make classes harder to separate.
Although denoising methods were not able to reach the same performance of the
noise-free scenario, they improved classification results for noisy data.


title:
Solid-like rheological response of non-entangled polymers in the molten
  state

abstract:
  We show that non-entangled polymers display an elastic-like behaviour at a
macroscopic scale (probed at some 0.100 mm thickness) up to at least hundred
degrees above the glass transition temperature. This observation, found under
non-slippage conditions, both for side-chain liquid crystalline polymers and
ordinary polymers, is in contradiction with the typically found flow behaviour
of polymer melt. Our measurements were carried out with a conventional
rheometer at thicknesses of several tenths millimetres. Thus, we were probing
bulk properties. The observed elasticity supposedly implies that even in the
melt the chains experience a cohesive effect of macroscopic distances,
involving collective motions over time scales longer than the individual
relaxation time of an individual polymer chain. The detection of such a
solid-like property of molten non-entangled polymers is of considerable
importance for a better understanding of the polymer dynamics.


title: Revisiting the Brans solutions of scalar-tensor gravity

abstract:
  Motivated by statements in the literature which contradict two general
theorems, the static and spherically symmetric Brans solutions of scalar-tensor
gravity are analyzed explicitly in both the Jordan and the Einstein conformal
frames. Depending on the parameter range, these solutions describe wormholes or
naked singularities but not black holes.


title: ADMM for Distributed Dynamic Beamforming

abstract:
  This paper shows the capability the alternating direction method of
multipliers (ADMM) has to track, in a distributed manner, the optimal down-link
beam-forming solution in a multiple input multiple output (MISO) multi-cell
network given a dynamic channel. Each time the channel changes, ADMM is allowed
to perform one algorithm iteration. In order to implement the proposed scheme,
the base stations are not required to exchange channel state information (CSI),
but will require to exchange interference values once. We show ADMM's tracking
ability in terms of the algorithm's Lyapunov function given that the primal and
dual solutions to the convex optimization problem at hand can be understood as
a continuous mapping from the problem's parameters. We show that this holds
true even considering that the problem looses strong convexity when it is made
distributed. We then show that these requirements hold for the down-link, and
consequently up-link, beam-forming case. Numerical examples corroborating the
theoretical findings are also provided.


title:
Probing pre-inflationary anisotropy with directional variations in the
  gravitational wave background

abstract:
  We perform a detailed analysis on a primordial gravitational-wave background
amplified during a Kasner-like pre-inflationary phase allowing for general
triaxial anisotropies. It is found that the predicted angular distribution map
of gravitational-wave intensity on large scales exhibits topologically
distinctive patterns according to the degree of the pre-inflationary
anisotropy, thereby serving as a potential probe for the pre-inflationary early
universe with future all-sky observations of gravitational waves. We also
derive an observational limit on the amplitude of such anisotropic
gravitational waves from the B-mode polarisation of the cosmic microwave
background.


title:
Complete Nonrelativistic-QCD Prediction for Prompt Double $J/\psi$
  Hadroproduction

abstract:
  We perform a complete study of prompt double $J/\psi$ hadroproduction at
leading order in the nonrelativistic-QCD factorization framework by including
all possible pairings of the $c\bar{c}$ Fock states ${}^1\!S_0^{[8]}$,
${}^3\!S_1^{[1,8]}$, and ${}^3\!P_J^{[1,8]}$ with $J=0,1,2$. We find that the
${}^1\!S_0^{[8]}$ and ${}^3\!P_J^{[8]}$ channels of $J/\psi$ and $\psi^\prime$
production and the ${}^3\!P_J^{[1]}$ and ${}^3\!S_1^{[8]}$ channels of
$\chi_{cJ}$ production, which have been overlooked so far, greatly dominate at
large invariant masses and rapidity separations of the $J/\psi$ pair, and that
their inclusion nearly fills the large gap between previous incomplete
predictions within the color-singlet model and the recent measurement by the
CMS Collaboration at the CERN LHC, leaving room for next-to-leading-order
corrections of typical size.


title: Controlling flexural waves in semi-infinite platonic crystals

abstract:
  We address the problem of scattering and transmission of a plane flexural
wave through a semi-infinite array of point scatterers/resonators, which take a
variety of physically interesting forms. The mathematical model accounts for
several classes of point defects, including mass-spring resonators attached to
the top surface of the flexural plate and their limiting case of concentrated
point masses. We also analyse the special case of resonators attached to
opposite faces of the plate. The problem is reduced to a functional equation of
the Wiener-Hopf type, whose kernel varies with the type of scatterer
considered. A novel approach, which stems from the direct connection between
the kernel function of the semi-infinite system and the quasi-periodic Green's
functions for corresponding infinite systems, is used to identify special
frequency regimes. We thereby demonstrate dynamically anisotropic wave effects
in semi-infinite platonic crystals, with particular attention paid to designing
systems to exhibit dynamic neutrality (perfect transmission) and localisation
close to the structured interface.


title:
Gluon transverse momentum dependent correlators in polarized high energy
  processes

abstract:
  We investigate the gluon transverse momentum dependent correlators as Fourier
transform of matrix elements of nonlocal operator combinations. At the operator
level these correlators include both field strength operators and gauge links
bridging the nonlocality. In contrast to the collinear PDFs, the gauge links
are no longer unique for transverse momentum dependent PDFs (TMDs) and also
Wilson loops lead to nontrivial effects. We look at gluon TMDs for unpolarized,
vector and tensor polarized targets. In particular a single Wilson loop
operators become important when one considers the small-x limit of gluon TMDs.


title: Arachneum: Blockchain meets Distributed Web

abstract:
  Appearance of Bitcoin raise up evolution in currency. Blockchain database
also raise up possibilities to share important data between untrusted peers. In
this paper, we propose Arachneum, a decentralized, distributed, and
model-view-controller-based web service using blockchain and new privileges
model. Therefore, we can enjoy the freedom against censorship of government or
organizations, keep transparency of our web services, fork our web services,
and create/read/update/delete(CRUD) all model-view-controller(MVC) components
dynamically.


title: Lecture hall P-partitions

abstract:
  We introduce and study s-lecture hall P-partitions which is a generalization
of s-lecture hall partitions to labeled (weighted) posets. We provide
generating function identities for s-lecture hall P-partitions that generalize
identities obtained by Savage and Schuster for s-lecture hall partitions, and
by Stanley for P-partitions. We also prove that the corresponding
(P,s)-Eulerian polynomials are real-rooted for certain pairs (P,s), and
speculate on unimodality properties of these polynomials.


title:
Online Charging Scheduling Algorithms of Electric Vehicles in Smart
  Grid: An Overview

abstract:
  As an environment-friendly substitute for conventional fuel-powered vehicles,
electric vehicles (EVs) and their components have been widely developed and
deployed worldwide. The large-scale integration of EVs into power grid brings
both challenges and opportunities to the system performance. On one hand, the
load demand from EV charging imposes large impact on the stability and
efficiency of power grid. On the other hand, EVs could potentially act as
mobile energy storage systems to improve the power network performance, such as
load flattening, fast frequency control, and facilitating renewable energy
integration. Evidently, uncontrolled EV charging could lead to inefficient
power network operation or even security issues. This spurs enormous research
interests in designing charging coordination mechanisms. A key design challenge
here lies in the lack of complete knowledge of events that occur in the future.
Indeed, the amount of knowledge of future events significantly impacts the
design of efficient charging control algorithms. This article focuses on
introducing online EV charging scheduling techniques that deal with different
degrees of uncertainty and randomness of future knowledge. Besides, we
highlight the promising future research directions for EV charging control.


title: Monte Carlo Particle Lists: MCPL

abstract:
  A binary format with lists of particle state information, for interchanging
particles between various Monte Carlo simulation applications, is presented.
Portable C code for file manipulation is made available to the scientific
community, along with converters and plugins for several popular simulation
packages.


title:
Validating induced seismicity forecast models - Induced Seismicity Test
  Bench

abstract:
  Induced earthquakes often accompany fluid injection, and the seismic hazard
they pose threatens various underground engineering projects. Models to monitor
and control induced seismic hazard with traffic light systems should be
probabilistic, forward-looking, and updated as new data arrive. In this study,
we propose an Induced Seismicity Test Bench to test and rank such models; this
test bench can be used for model development, model selection, and ensemble
model building. We apply the test bench to data from the Basel 2006 and
Soultz-sous-For\^ets 2004 geothermal stimulation projects, and we assess
forecasts from two models: Shapiro and Smoothed Seismicity (SaSS) and
Hydraulics and Seismics (HySei). These models incorporate a different mix of
physics-based elements and stochastic representation of the induced sequences.
Our results show that neither model is fully superior to the other. Generally,
HySei forecasts the seismicity rate better after shut-in, but is only mediocre
at forecasting the spatial distribution. On the other hand, SaSS forecasts the
spatial distribution better and gives better seismicity rate estimates before
shut-in. The shut-in phase is a difficult moment for both models in both
reservoirs: the models tend to underpredict the seismicity rate around, and
shortly after, shut-in.


title: Learning Directed-Acyclic-Graphs from Large-Scale Genomics Data

abstract:
  In this paper we consider the problem of learning the
genetic-interaction-map, i.e., the topology of a directed acyclic graph (DAG)
of genetic interactions from noisy double knockout (DK) data. Based on a set of
well established biological interaction models we detect and classify the
interactions between genes. We propose a novel linear integer optimization
program called the Genetic-Interactions-Detector (GENIE) to identify the
complex biological dependencies among genes and to compute the DAG topology
that matches the DK measurements best. Furthermore, we extend the GENIE-program
by incorporating genetic-interactions-profile (GI-profile) data to further
enhance the detection performance. In addition, we propose a sequential
scalability technique for large sets of genes under study, in order to provide
statistically stressable results for real measurement data. Finally, we show
via numeric simulations that the GENIE-program as well as the GI-profile data
extended GENIE (GI-GENIE)-program clearly outperform the conventional
techniques and present real data results for our proposed sequential
scalability technique.


title: Pareto Optimal Allocation under Uncertain Preferences

abstract:
  The assignment problem is one of the most well-studied settings in social
choice, matching, and discrete allocation. We consider the problem with the
additional feature that agents' preferences involve uncertainty. The setting
with uncertainty leads to a number of interesting questions including the
following ones. How to compute an assignment with the highest probability of
being Pareto optimal? What is the complexity of computing the probability that
a given assignment is Pareto optimal? Does there exist an assignment that is
Pareto optimal with probability one? We consider these problems under two
natural uncertainty models: (1) the lottery model in which each agent has an
independent probability distribution over linear orders and (2) the joint
probability model that involves a joint probability distribution over
preference profiles. For both of the models, we present a number of algorithmic
and complexity results.


title:
High proper motion objects towards the inner Milky Way: characterisation
  of newly identified nearby stars from the VISTA Variables in the Via Lactea
  Survey

abstract:
  The census of the Solar neighbourhood is still incomplete, as demonstrated by
recent discoveries of many objects within 5-10 pc from the Sun. The area around
the mid-plane and bulge of the Milky Way presents the most difficulties in
searches for such nearby objects, and is therefore deficient in the known
population. This is largely due to high stellar densities encountered.
Spectroscopic, photometric and kinematic characterization of these objects
allows better understand the local mass function, the binary fraction, and
provides new interesting targets for more detailed studies. We report the
spectroscopic follow-up and characterisation of 12 bright high PM objects,
identified from the VISTA Variables in Via Lactea survey (VVV). We used the
1.9-m telescope of the South African Astronomical Observatory (SAAO) for
low-resolution optical spectroscopy and spectral classification, and the
MPG/ESP 2.2m telescope Fiber-fed Extended Range Optical Spectrograph (FEROS)
high-resolution optical spectroscopy to obtain the radial and space velocities
for three of them. Six of our objects have co-moving companions. We derived
optical spectral types and photometric distances, and classified all of them as
K and M dwarfs within 27-264 pc of the Sun. Finally, we found that one of the
sources, VVV J141421.23-602326.1 (a co-moving companion of VVV
J141420.55-602337.1), appears to be a rare massive white dwarf that maybe close
to the ZZ Ceti instability strip. Many of the objects in our list are
interesting targets for exoplanet searches.


title: Extracting the physical sector of quantum states

abstract:
  The physical nature of any quantum source guarantees the existence of an
effective Hilbert space of finite dimension, the physical sector, in which its
state is completely characterized with arbitrarily high accuracy. The
extraction of this sector is essential for state tomography. We show that the
physical sector of a state, defined in some pre-chosen basis, can be
systematically retrieved with a procedure using only data collected from a set
of commuting quantum measurement outcomes, with no other assumptions about the
source. We demonstrate the versatility and efficiency of the physical-sector
extraction by applying it to simulated and experimental data for quantum light
sources, as well as quantum systems of finite dimensions.


title: Pseudo core inverses in rings with involution

abstract:
  Let $R$ be a ring with involution. In this paper, we introduce a new type of
generalized inverse called pseudo core inverse in $R$. The notion of core
inverse was introduced by Baksalary and Trenkler for matrices of index 1 in
2010 and then it was generalized to an arbitrary $*$-ring case by Raki\'{c},
Din\v{c}i\'{c} and Djordjevi\'{c} in 2014. Our definition of pesudo core
inverse extends the notion of core inverse to elements of an arbitrary index in
$R$. Meanwhile, it generalizes the notion of core-EP inverse, introduced by
Manjunatha Prasad and Mohana for matrices in 2014, to the case of $*$-ring.
Some equivalent characterizations for elements in $R$ to be pseudo core
invertible are given and expressions are presented especially in terms of
Drazin inverse and \{1,3\}-inverse. Then, we investigate the relationship
between pseudo core inverse and other generalized inverses. Further, we
establish several properties of the pseudo core inverse. Finally, the
computations for pseudo core inverses of matrices are exhibited.


title: T-branes and $\alpha'$-corrections

abstract:
  We study $\alpha'$-corrections in multiple D7-brane configurations with
non-commuting profiles for their transverse position fields. We focus on
T-brane systems, crucial in F-theory GUT model building. There
$\alpha'$-corrections modify the D-term piece of the BPS equations which,
already at leading order, require a non-primitive Abelian worldvolume flux
background. We find that $\alpha'$-corrections may either i) leave this flux
background invariant, ii) modify the Abelian non-primitive flux profile, or
iii) deform it to a non-Abelian profile. The last case typically occurs when
primitive fluxes, a necessary ingredient to build 4d chiral models, are added
to the system. We illustrate these three cases by solving the
$\alpha'$-corrected D-term equations in explicit examples, and describe their
appearance in more general T-brane backgrounds. Finally, we discuss
implications of our findings for F-theory GUT local models.


title:
Dynamical Coulomb blockade theory of plasmon-mediated light emission
  from a tunnel junction

abstract:
  Inelastic tunneling of electrons can generate the emission of photons with
energies intuitively limited by the applied bias voltage. However, experiments
indicate that more complex processes involving the interaction of electrons
with plasmon polaritons lead to photon emission with overbias energies. We
recently proposed a model of this observation in Phys. Rev. Lett. \textbf{113},
066801 (2014), in analogy to the dynamical Coulomb blockade, originally
developed for treating the electromagnetic environment in mesoscopic circuits.
This model describes the correlated tunneling of two electrons interacting with
a local plasmon-polariton mode, represented by a resonant circuit, and shows
that the overbias emission is due to the non-Gaussian fluctuations. Here we
extend our model to study the overbias emission at finite temperature. We find
that the thermal smearing strongly masks the overbias emission. Hence, the
detection of the correlated tunneling processes requires temperatures $k_BT$
much lower than the bias energy $eV$ and the plasmon energy $\hbar\omega_0$, a
condition which is fortunately realized experimentally.


title: Reconstruction of cosmic history from a simple parametrization of H

abstract:
  In this paper, we propose a simple parametrization of the Hubble parameter H
in order to explain the late time cosmic acceleration. We show that our
proposal covers many models obtained in different schemes of parametrization
under one umbrella. We demonstrate that a simple modification in the functional
form of Hubble parameter can give rise to interesting cosmological phenomena
such as big rip singularity, bounce and others. We have also constrained the
model parameters using the latest 28 points of H(z) data for three cases which
admit transition from deceleration to acceleration.


title: Small $\dot B^{-1}_{\infty,\infty}$ implies regularity

abstract:
  We show that smallness of $\dot B^{-1}_{\infty,\infty}$ norm of solution to
$d$-dimensional ($d\ge 3$) incompressible Navier-Stokes prevents blowups.


title: Square Series Generating Function Transformations

abstract:
  We construct new integral representations for transformations of the ordinary
generating function for a sequence, $\langle f_n \rangle$, into the form of a
generating function that enumerates the corresponding "square series"
generating function for the sequence, $\langle q^{n^2} f_n \rangle$, at an
initially fixed non-zero $q \in \mathbb{C}$. The new results proved in the
article are given by integral-based transformations of ordinary generating
function series expanded in terms of the Stirling numbers of the second kind.
We then employ known integral representations for the gamma and double
factorial functions in the construction of these square series transformation
integrals. The results proved in the article lead to new applications and
integral representations for special function series, sequence generating
functions, and other related applications. A summary Mathematica notebook
providing derivations of key results and applications to specific series is
provided online as a supplemental reference to readers.


title:
On the critical behaviour of gapped gravitational collapse in confined
  spacetime

abstract:
  The gravitational collapse of a massless scalar field enclosed with a
perfectly reflecting wall in a spacetime with a cosmological constant $\Lambda$
is investigated. The mass scaling for the gapped collapse $ M_{AH}-M_g \propto
(\epsilon_c-\epsilon)^\xi$ is confirmed and a new time scaling for the gapped
collapse $T_{AH}-T_g\propto(\epsilon_c-\epsilon)^\zeta$ is found. We find that
both of these two critical exponents depend on the combination $\Lambda R^2$,
where $R$ is the radial position of the reflecting wall. Especially, we find an
evolution of the critical exponent $\xi$ from $0.37$ in the confined asymptotic
dS case with $\Lambda R^2=1.5$ to $0.7$ in asymptotic AdS case ($\Lambda
R^2\rightarrow-\infty$), while the critical exponent $\zeta$ varies from $0.10$
to $0.26$, which shows the new critical behavior for the gapped collapse is
essentially different from the one in the Choptuik's case.


title:
Automated detection of smuggled high-risk security threats using Deep
  Learning

abstract:
  The security infrastructure is ill-equipped to detect and deter the smuggling
of non-explosive devices that enable terror attacks such as those recently
perpetrated in western Europe. The detection of so-called "small metallic
threats" (SMTs) in cargo containers currently relies on statistical risk
analysis, intelligence reports, and visual inspection of X-ray images by
security officers. The latter is very slow and unreliable due to the difficulty
of the task: objects potentially spanning less than 50 pixels have to be
detected in images containing more than 2 million pixels against very complex
and cluttered backgrounds. In this contribution, we demonstrate for the first
time the use of Convolutional Neural Networks (CNNs), a type of Deep Learning,
to automate the detection of SMTs in fullsize X-ray images of cargo containers.
Novel approaches for dataset augmentation allowed to train CNNs from-scratch
despite the scarcity of data available. We report fewer than 6% false alarms
when detecting 90% SMTs synthetically concealed in stream-of-commerce images,
which corresponds to an improvement of over an order of magnitude over
conventional approaches such as Bag-of-Words (BoWs). The proposed scheme offers
potentially super-human performance for a fraction of the time it would take
for a security officers to carry out visual inspection (processing time is
approximately 3.5s per container image).


title:
Extended relativistic configuration interaction and many-body
  perturbation calculations of spectroscopic data for the $n \leq 6$
  configurationsin ne-like ions between Cr XV and Kr XXVII

abstract:
  Level energies, wavelengths, electric dipole, magnetic dipole, electric
quadrupole, and magnetic quadrupole transition rates, oscillator strengths, and
line strengths from combined relativistic configuration interaction and
many-body perturbation calculations are reported for the 201 fine-structure
states of the $2s^2 2p^6$, $2s^2 2p^5 3l$, $2s 2p^6 3l$, $2s^2 2p^5 4l$, $2s
2p^6 4l$, $2s^2 2p^5 5l$, and $2s^2 2p^5 6l$ configurations in all Ne-like ions
between Cr XV and Kr XXVII. Calculated level energies and transition data are
compared with experiments from the NIST and CHIANTI databases, and other recent
benchmark calculations. The mean energy difference with the NIST experiments is
only 0.05%. The present calculations significantly increase the amount of
accurate spectroscopic data for the $n >3$ states in a number of Ne-like ions
of astrophysics interest. A complete dataset should be helpful in analyzing new
observations from the solar and other astrophysical sources, and is also likely
to be useful for modeling and diagnosing a variety of plasmas including
astronomical and fusion plasma.


title: Cosine Edge Mode in a Periodically Driven Quantum System

abstract:
  Time-periodic (Floquet) topological phases of matter exhibit bulk-edge
relationships that are more complex than static topological insulators and
superconductors. Finding the edge modes unique to driven systems usually
requires numerics. Here we present a minimal two-band model of Floquet
topological insulators and semimetals in two dimensions where all the bulk and
edge properties can be obtained analytically. It is based on the extended
Harper model of quantum Hall effect at flux one half. We show that periodical
driving gives rise to a series of phases characterized by a pair of integers.
The model has a most striking feature: the spectrum of the edge modes is always
given by a single cosine function, $\omega(k_y)\propto \cos k_y$ where $k_y$ is
the wave number along the edge, as if it is freely dispersing and completely
decoupled from the bulk. The cosine mode is robust against the change in
driving parameters and persists even to semi-metallic phases with Dirac points.
The localization length of the cosine mode is found to contain an integer and
in this sense quantized.


title: Security against jamming and noise exclusion in imaging

abstract:
  We describe a protocol by which an imaging system could be protected against
jamming by a malevolent party. Our protocol not only allows recognition of the
jamming, but also allows for the recovery of the true image from the jammed
one. We apply the method to jamming of quantum ghost imaging, for which the
jamming detection probability is increased when the imaging light is entangled.
The method can also be used to provide image recovery in general noisy
environments.


title: Harassment detection: a benchmark on the #HackHarassment dataset

abstract:
  Online harassment has been a problem to a greater or lesser extent since the
early days of the internet. Previous work has applied anti-spam techniques like
machine-learning based text classification (Reynolds, 2011) to detecting
harassing messages. However, existing public datasets are limited in size, with
labels of varying quality. The #HackHarassment initiative (an alliance of 1
tech companies and NGOs devoted to fighting bullying on the internet) has begun
to address this issue by creating a new dataset superior to its predecssors in
terms of both size and quality. As we (#HackHarassment) complete further rounds
of labelling, later iterations of this dataset will increase the available
samples by at least an order of magnitude, enabling corresponding improvements
in the quality of machine learning models for harassment detection. In this
paper, we introduce the first models built on the #HackHarassment dataset v1.0
(a new open dataset, which we are delighted to share with any interested
researcherss) as a benchmark for future research.


title: Convergence properties of $\eta$$\,\to$$3\pi$ in low energy QCD

abstract:
  Even today, the convergence of the decay widths and some of the Dalitz plot
parameters of the $\eta $$\,\rightarrow $$3\pi$ decays seems problematic in low
energy QCD. We provide an overview of the current experimental and theoretical
situation with historical background and summarize our recent results, which
explore the question of compatibility of experimental data with a reasonable
convergence of a carefully defined chiral series in the framework of resummed
chiral perturbation theory.


title:
Local equilibria and state transfer of charged classical particles on a
  helix in an electric field

abstract:
  We explore the effects of a homogeneous external electric field on the static
properties and dynamical behavior of two charged particles confined to a helix.
In contrast to the field-free setup which provides a separation of the
center-of-mass and relative motion, the existence of an external force
perpendicular to the helix axis couples the center-of-mass to the relative
degree of freedom leading to equilibria with a localized center of mass. By
tuning the external field various fixed points are created and/or annihilated
through different bifurcation scenarios. We provide a detailed analysis of
these bifurcations based on which we demonstrate a robust state transfer
between essentially arbitrary equilibrium configurations of the two charges
that can be induced by making the external force time-dependent.


title: Equational Axioms for Expected Value Operators

abstract:
  An equational axiomatisation of probability functions for one-dimensional
event spaces in the language of signed meadows is expanded with conditional
values. Conditional values constitute a so-called signed vector meadow. In the
presence of a probability function, equational axioms are provided for expected
value, variance, covariance, and correlation squared, each defined for
conditional values.
  Finite support summation is introduced as a binding operator on meadows which
simplifies formulating requirements on probability mass functions with finite
support. Conditional values are related to probability mass functions and to
random variables. The definitions are reconsidered in a finite dimensional
setting.


title:
Analytic solutions for the approximated Kantorovich mass transfer
  problems by $p$-Laplacian approach

abstract:
  This manuscript discusses the approximation of a global maximizer of the
Kantorovich mass transfer problem through the approach of $p$-Laplacian
equation. Using an approximation mechanism, the primal maximization problem can
be transformed into a sequence of minimization problems. By applying the
canonical duality theory, one is able to derive a sequence of analytic
solutions for the minimization problems. In the final analysis, the convergence
of the sequence to a global maximizer of the primal Kantorovich problem will be
demonstrated.


title: Computation of Cournot-Nash equilibria by entropic regularization

abstract:
  We consider a class of games with continuum of players where equilibria can
be obtained by the minimization of a certain functional related to optimal
transport as emphasized in [7]. We then use the powerful entropic
regularization technique to approximate the problem and solve it numerically in
various cases. We also consider the extension to some models with several
populations of players.