title:
Extended V-systems and almost-duality for extended affine Weyl orbit
  spaces

abstract:
  Rational solutions of the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV)
equations of associativity are given in terms a configurations of vectors which
satisfy certain algebraic conditions known as $\bigvee$-conditions. The
simplest examples of such configuration are the root systems of finite Coxeter
groups. In this paper conditions are derived which ensure that an extended
configuration - a configuration in a space one-dimension higher -satisfy these
$\bigvee$-conditions. Such a construction utilizes the notion of a small-orbit,
as defined by Serganova. Symmetries of such resulting solutions to the
WDVV-equations are studied; in particular, Legendre transformations. It is
shown that these Legendre transformations map extended-rational solutions to
trigonometric solutions and, for certain values of the free data, one obtains a
transformation from extended $\bigvee$-systems to the trigonometric almost dual
solutions corresponding to the classical extended affine Weyl groups.


title: On-shell parameter fixing in the quark-meson model

abstract:
  The quark-meson model is often used as an effective low-energy model for QCD
to study the chiral transition at finite temperature $T$ and baryon chemical
potential $\mu_B$. The parameters in the quark-meson model can be found by
expressing them in terms of the sigma mass $m_{\sigma}$, the pion mass
$m_{\pi}$, the constituent quark mass $m_q$ and the pion decay constant
$f_{\pi}$. In practice, this matching is done at tree level, which is
inconsistent once we take loop effects of the effective potential into account.
We show how to properly perform the matching in the quark-meson model by using
the on-shell and the modified minimal subtraction renormalization schemes
relating the physical masses and the pion decay constant to the running mass
parameter and couplings. We map out the phase diagram in the $\mu_B$--$T$ plane
and compare our results with other approximations.


title:
High-resolution spectroscopy of the extremely iron-poor post-AGB star CC
  Lyr

abstract:
  High-resolution optical spectroscopy was conducted for the metal-poor
post-AGB star CC Lyr to determine its chemical abundances and spectral line
profiles. Our standard abundance analysis confirms its extremely low
metallicity ([Fe/H]<-3.5) and a clear correlation between abundance ratios and
the condensation temperature for 11 elements, indicating that dust depletion is
the cause of the abundance anomaly of this object. The very low abundances of
Sr and Ba, which are detected for the first time for this object, suggest that
heavy neutron-capture elements are not significantly enhanced in this object by
the s-process during its evolution through AGB phase. Radial velocity of this
object and profiles of some atomic absorption lines show variations depending
on pulsation phases, which could be formed by dynamics of the atmosphere rather
than by binarity or contributions of circumstellar absorption. On the other
hand, the H-alpha emission with double peaks shows no evident velocity shift,
suggesting that the emission is originating from the circumstellar matter,
presumably the rotating disk around the object.


title: Symbolic Dynamics of Magnetic Bumps

abstract:
  For n convex magnetic bumps in the plane, whose boundary has a curvature
somewhat smaller than the absolute value of the constant magnetic field inside
the bump, we construct a complete symbolic dynamics of a classical particle
moving with speed one.


title:
Structure of Stable Binary Neutron Star Merger Remnants: Role of Initial
  Spin

abstract:
  We present general relativistic numerical simulations of binary neutron star
(BNS) mergers with different initial spin configurations. We focus on models
with stars of mass 1.4 M_sol each, which employ the equation of state (EOS) by
Shen, Horowitz, and Teige, and which result in stable NSs as merger remnants.
For comparison, we consider two irrotational equal mass (M=1.35 M_sol) and
unequal mass (M=1.29,1.42 M_sol) BNS models using the APR4 EOS, which result in
a supramassive merger remnant. We present visualizations of the fluid flow and
temperature distribution and find a strong impact of the spin on vortex
structure and nonaxisymmetric deformation. We compute the radial mass
distribution and the rotation profile in the equatorial plane using recently
developed measures independent of spatial gauge, revealing slowly rotating
cores that can be well approximated by the cores of spherical stars. We also
study the influence of the spin on the inspiral phase and the gravitational
wave (GW) signal. Using a newly developed analysis method, we further show that
gravitational waveforms from BNS mergers can exhibit one or more phase jumps
after merger, which occur together with minima of the strain amplitude. We
provide a natural explanation in terms of the remnant's quadrupole moment, and
show that cancellation effects due to phase jumps can have a strong impact on
the GW power spectrum. Finally, we discuss the impact of the spin on the amount
of ejected matter.


title: Improving the determination of chemical abundances in planetary nebulae

abstract:
  Planetary nebulae are the products of the evolution of low and intermediate
mass stars. The chemical property studies of these objects give important
information about the elemental abundances as He, O, Ne, Ar, S and their
modifications associated with the evolution of the progenitor stars. The
determination of accurate abundances in planetary nebulae is important from the
perspective of the stellar evolution as well as the formation and chemical
evolution of galaxies. Recently, new HeI emissivities and ionization correction
factors (ICFs) were published in the literature. In this work, these new
parameters are used in a code for the determination of chemical abundances in
photoionized nebulae. This code is used for the recompilation of the chemical
abundances of planetary nebulae from the Galactic bulge observed previously by
our group and also for the determination of new chemical abundances of a sample
of planetary nebulae located near the Galactic centre. The new emissivities and
ICFs slightly modified the elemental abundances of He, N, O, Ar and Ne. On the
other hand, S abundances are higher than previous determinations. The new ICFs
can contribute to solve partially the sulphur anomaly.


title: Symmetric blind information reconciliation for quantum key distribution

abstract:
  Quantum key distribution (QKD) is a quantum-proof key-exchange scheme which
is fast approaching the communication industry. An essential component in QKD
is the information reconciliation step, which is used for correcting the
quantum-channel noise errors. The recently suggested blind reconciliation
technique, based on low-density parity-check (LDPC) codes, offers remarkable
prospectives for efficient information reconciliation without an a priori error
rate estimation. We suggest an improvement of the
blind-information-reconciliation protocol promoting a significant increase in
the efficiency of the procedure and reducing its interactivity. The proposed
technique is based on introducing symmetry in operations of parties, and the
consideration of results of unsuccessful belief-propagation decodings.


title: Isomonodromy for the Degenerate Fifth Painlev\'e Equation

abstract:
  This is a sequel to papers by the last two authors making the Riemann-Hilbert
correspondence and isomonodromy explicit. For the degenerate fifth Painlev\'e
equation, the moduli spaces for connections and for monodromy are explicitly
computed. It is proven that the extended Riemann-Hilbert morphism is an
isomorphism. As a consequence these equations have the Painlev\'e property and
the Okamoto-Painlev\'e space is identified with a moduli space of connections.
Using MAPLE computations, one obtains formulas for the degenerate fifth
Painlev\'e equation, for the B\"acklund transformations.


title:
Energy Spectrum of Fast Second Order Fermi Accelerators as Sources of
  Ultra-High-Energy Cosmic Rays

abstract:
  Stochastic acceleration of cosmic rays in second order Fermi processes is
usually considered too slow to reach ultra-high energies, except in specific
cases. In this paper we present the energy spectrum obtained from second order
Fermi acceleration in highly turbulent magnetic fields as e.g.\ found in the
outskirts of AGN jets in situations where it can be sufficiently fast to
accelerate particles to the highest observed energies. We parametrize the
resulting non-power-law spectra and show that these can describe the cosmic ray
energy spectrum and mass-composition data at the highest energies if
propagation effects are taken into account.


title: J. L. Lions' Problem on Maximal Regularity

abstract:
  This is a survey on recent progress concerning maximal regularity of
non-autonomous equations governed by time-dependent forms on a Hilbert space.
It also contains two new results showing the limits of the theory.


title:
A note on the some geometric properties of the sequence spaces defined
  by Taylor method

abstract:
  In this paper, it was obtained the new matrix domain with the well known
classical sequence spaces and an infinite matrix. The Taylor method which known
then as the circle method of order r (0 < r < 1), as an infinite matrix for the
matrix domain is used. Newly constructed space is isomorphic copy of the spaces
of all absolutely p-summable sequences. It is well known that Hilbert space
have the nicest geometric properties. Then, it is proved that the new space is
a Hilbert space for p = 2. Further, it was computed dual spaces and
characterized some matrix classes of the new Taylor space in the table form.
Section 3 is devoted some geometric properties of Taylor space.


title:
Relative pseudomonads, Kleisli bicategories, and substitution monoidal
  structures

abstract:
  We introduce the notion of a relative pseudomonad, which generalises the
notion of a pseudomonad, and define the Kleisli bicategory associated to a
relative pseudomonad. We then present an efficient method to define pseudomonas
on the Kleisli bicategory of a relative pseudomonad. The results are applied to
define several pseudomonads on the bicategory of profunctors in an homogeneous
way, thus providing a uniform approach to the definition of bicategories that
are of interest in operad theory, mathematical logic, and theoretical computer
science.


title: Calibration unit for the near-infrared spectropolarimeter SPIRou

abstract:
  SPIRou is a near-infrared spectropolarimeter and high precision radial
velocity instrument, to be implemented at CFHT in end 2017. It focuses on the
search for Earth-like planets around M dwarfs and on the study of stellar and
planetary formation in the presence of stellar magnetic field. The calibration
unit and the radial-velocity reference module are essential to the short- and
long-term precision (1 m/s). We highlight the specificities in the calibration
techniques compared to the spectrographs HARPS (at LaSilla, ESO) or SOPHIE (at
OHP, France) due to the near-infrared wavelengths, the CMOS detectors, and the
instrument design. We also describe the calibration unit architecture, design
and production.


title:
A note on conditional risk measures of Orlicz spaces and Orlicz-type
  modules

abstract:
  We consider conditional and dynamic risk measures of Orlicz spaces and study
their robust representation. For this purpose, given a probability space
$(\Omega,\mathcal{E},\mathbb{P})$, a sub-$\sigma$-algebra $\mathcal{F}$ of
$\mathcal{E}$, and a Young function $\varphi$, we study the relation between
the classical Orlicz space $L^\varphi(\mathcal{E})$ and the modular Orlicz-type
module $L^\varphi_\mathcal{F}(\mathcal{E})$; based on conditional set theory,
we describe the conditional order continuous dual of a Orlicz-type module; and
by using scalarization and modular extensions of conditional risk measures
together with elements of conditional set theory, we finally characterize the
robust representation of conditional risk measures of Orlicz spaces.


title:
Crystal field investigation in the light rare earth
  R$_3$Pt$_{23}$Si$_{11}$ compounds

abstract:
  The crystalline electric field (CEF) is investigated in
Pr$_3$Pt$_{23}$Si$_{11}$ and Nd$_3$Pt$_{23}$Si$_{11}$ by neutron spectroscopy
(NS). At low temperature, the number of observed CEF excitations is consistent
with the orthorhombic symmetry at the rare earth site. This agrees with
previous results on Ce$_3$Pt$_{23}$Si$_{11}$. For Pr- and
Nd$_3$Pt$_{23}$Si$_{11}$, the number of CEF parameters is too large to allow
for an unambiguous determination. This determination is possible for
Ce$_3$Pt$_{23}$Si$_{11}$, due to a reduced number of parameters and to the
availability of extensive experimental data. A specific procedure is developed
for this purpose that combines genetic algorithmics and optimization methods.
An unique set of CEF parameters is found for Ce$_3$Pt$_{23}$Si$_{11}$. It
reveals a strong anisotropy at the orthorhombic site, responsible for an easy
threefold magnetization axis in the cubic system. Using a microscopic,
mean-field, description, the magnetization processes in the paramagnetic and
ferromagnetic phases of Ce$_3$Pt$_{23}$Si$_{11}$ are well reproduced.
Ce$_3$Pt$_{23}$Si$_{11}$ is shown to realize a model for systems where
conflicting anisotropies are forced to cooperate.


title:
Testing Dark Matter with the Anomalous Magnetic Moment in Quantum
  Electrodynamics Model

abstract:
  We consider a model of dark quantum electrodynamics which is coupled with a
visible photon through a kinetic mixing term. After checking of consistency
properties, we compute the $g_w-2$, where $g_w$ is the gyromagnetic factor for
a dark fermion. The $g_w-2$ and $g-2$ of quantum electrodynamics are related by
the kinetic mixing factor. We analyse the $g_w-2$ in terms of the ratio $\kappa
=m_\gamma/m_\chi$ where $m_\gamma$ and $m_\chi$ are the masses of the dark
photon and the dark fermion and we discuss how light and heavy fermions become
very different for $m_\gamma \leq10^{-5}\,$ eV. This analysis is also carried
out using different available data.


title:
Sloshing instability and electrolyte layer rupture in liquid metal
  batteries

abstract:
  Liquid metal batteries (LMBs) are discussed today as a cheap grid scale
energy storage, as required for the deployment of fluctuating renewable
energies. Built as a stable density stratification of two liquid metals
separated by a thin molten salt layer, LMBs are susceptible to short-circuit by
fluid flows. Using direct numerical simulation, we study a sloshing long wave
interface instability in cylindrical cells, which is already known from
aluminium reduction cells. After characterising the instability mechanism, we
investigate the influence of cell current, layer thickness, density, viscosity,
conductivity and magnetic background field. Finally we study the shape of the
interface and give a dimensionless parameter for the onset of sloshing as well
as for the short-circuit.


title:
On the variation of longitudinal and torsional frequencies in a
  partially hinged rectangular plate

abstract:
  We consider a partially hinged rectangular plate and its normal modes. There
are two families of modes, longitudinal and torsional. We study the variation
of the corresponding eigenvalues under domain deformations. We investigate the
possibility of finding a shape functional able to quantify the torsional
instability of the plate, namely how prone is the plate to transform
longitudinal oscillations into torsional ones. This functional should obey
several rules coming from both theoretical and practical evidences. We show
that a simple functional obeying all the required rules does not exist and that
the functionals available in literature are not reliable.


title: A direct approach to quaternionic manifolds

abstract:
  The recent definition of slice regular function of several quaternionic
variables suggests a new notion of quaternionic manifold. We give the
definition of quaternionic regular manifold, as a space locally modeled on
$\mathbb{H}^n$, in a slice regular sense. We exhibit some significant classes
of examples, including manifolds which carry a quaternionic affine structure.


title: Warped cones and Haagerup property

abstract:
  In this paper we show that the fibred coarse embeddability of a warped cone
implies the Haagerup property of the appropriate group. Moreover, Kazhdan's
property (T) of the group implies geometric property (T) of the warped cone.


title:
Close-to-equilibrium behaviour of quadratic reaction-diffusion systems
  with detailed balance

abstract:
  We study general quadratic reaction-diffusion systems with detailed balance,
in space dimension $d \leq 4$. We show that close-to-equilibrium solutions (in
an $L^2$ sense) are regular for all times, and that they relax to equilibrium
exponentially in a strong sense. That is: all detailed balance equilibria are
exponentially asymptotically stable in all $L^p$ norms, at least in dimension
$d \leq 4$. The results are given in detail for the four-species
reaction-diffusion system, where the involved constants can be estimated
explicitly. The main novelty is the regularity result and exponential
relaxation in $L^p$ norms for $p > 1$, which up to our knowledge is new in
dimensions 3 and 4.


title:
Spontaneous emission in a quantum system driven by the resonant field
  beyond the rotating wave approximation

abstract:
  Quasi-stationary states of the quantum system in the driving resonant field
are considered without rotating wave approximation. Conditions under which the
spontaneous emission could be suppressed in this system are investigated in the
special case when the frequency of the driving field is essentially less than
the frequency of spontaneous emission. It is shown that the characteristic
parameters of the effect are substantially changed in comparison with the
results corresponding to RWA. The real physical system for which the considered
effects could be observed is described.


title:
Poincar\'e inequalities on intervals -- application to sensitivity
  analysis

abstract:
  The development of global sensitivity analysis of numerical model outputs has
recently raised new issues on 1-dimensional Poincar\'e inequalities. Typically
two kind of sensitivity indices are linked by a Poincar\'e type inequality,
which provide upper bounds of the most interpretable index by using the other
one, cheaper to compute. This allows performing a low-cost screening of
unessential variables. The efficiency of this screening then highly depends on
the accuracy of the upper bounds in Poincar\'e inequalities. The novelty in the
questions concern the wide range of probability distributions involved, which
are often truncated on intervals. After providing an overview of the existing
knowledge and techniques, we add some theory about Poincar\'e constants on
intervals, with improvements for symmetric intervals. Then we exploit the
spectral interpretation for computing exact value of Poincar\'e constants of
any admissible distribution on a given interval. We give semi-analytical
results for some frequent distributions (truncated exponential, triangular,
truncated normal), and present a numerical method in the general case. Finally,
an application is made to a hydrological problem, showing the benefits of the
new results in Poincar\'e inequalities to sensitivity analysis.


title: Bath correlation functions for logarithmic spectral densities

abstract:
  We study the bath correlation functions (BCFs) of open quantum systems
interacting with thermal baths, in case the spectral densities (SDs) exhibit
removable logarithmic singularities at low frequencies and are arbitrarily
shaped at higher frequencies. The singularities consist in arbitrarily positive
or negative powers of logarithmic functions, as additional factors for the
power laws of the Ohmic-like SDs. If the SD vanishes sufficiently fast at high
frequencies the short time behavior of the BCF is algebraic. The long time
behavior of the BCF exhibits a variety of relaxations that involve inverse
power laws and arbitrary powers of logarithmic forms. The imaginary part of the
BCF shows over long times regular dependence on the low frequency structure of
the SD, except for certain conditions where the ohmicity parameter takes odd
natural values. Same dependence holds for the real part of the BCF at
non-vanishing temperatures. At zero temperature the real part of the BCF
exhibits over long times the same regular relationship with the low frequency
structure of the SD, except for certain conditions involving even natural
values of the ohmicity parameter. The exceptional conditions provide
relaxations that are faster than those obtained via the regular dependence. In
this way, various long time relaxations of the BCF that are slower than
exponential decays and arbitrarily faster or slower than inverse power laws,
can be interpreted in terms of removable logarithmic singularities in the low
frequency structure SD of an open quantum system.


title:
Characterizing the path-independent property of the Girsanov density for
  degenerated stochastic differential equations

abstract:
  In this paper, we derive a characterization theorem for the path-independent
property of the density of the Girsanov transformation for {\it degenerated}
stochastic differential equations (SDEs), extending the characterization
theorem of \cite{twwy} for the non-degenerated SDEs. We further extends our
consideration to non-Lipschitz SDEs with jumps and with degenerated diffusion
coefficients, which generalizes the corresponding characterization theorem
established in \cite{hqwu}.


title:
Quantitative Comparison of Abundance Structures of Generalized
  Communities: From B-Cell Receptor Repertoires to Microbiomes

abstract:
  The \emph{community}, the assemblage of organisms co-existing in a given
space and time, has the potential to become one of the unifying concepts of
biology, especially with the advent of high-throughput sequencing experiments
that reveal genetic diversity exhaustively. In this spirit we show that a tool
from community ecology, the Rank Abundance Distribution (RAD), can be turned by
the new MaxRank normalization method into a generic, expressive descriptor for
quantitative comparison of communities in many areas of biology. To illustrate
the versatility of the method, we analyze RADs from various \emph{generalized
communities}, i.e.\ assemblages of genetically diverse cells or organisms,
including human B cells, gut microbiomes under antibiotic treatment and of
different ages and countries of origin, and other human and environmental
microbial communities. We show that normalized RADs enable novel quantitative
approaches that help to understand structures and dynamics of complex
generalize communities.


title: Multiple Dedekind Zeta Values are Periods of Mixed Tate Motives

abstract:
  Recently, the author defined multiple Dedekind zeta values [5] associated to
a number K field and a cone C. These objects are number theoretic analogues of
multiple zeta values. In this paper we prove that every multiple Dedekind zeta
value over any number field K is a period of a mixed Tate motive. Moreover, if
K is a totally real number field, then we can choose a cone C so that every
multiple Dedekind zeta associated to the pair (K;C) is unramified over the ring
of algebraic integers in K. In [7], the author proves similar statements in the
special case of a real quadratic fields for a particular type of a multiple
Dedekind zeta values. The mixed motives are defined over K in terms of a the
Deligne-Mumford compactification of the moduli space of curves of genus zero
with n marked points.


title:
Distributed Computation of the Cech Complex and Applications in Wireless
  Networks

abstract:
  In this paper, we introduce a distributed algorithm to compute th\v{e} Cech
complex. This algorithm is aimed at solving coverage problems in self organized
wireless networks. Two applications based on the distributed computation of
th\v{e} Cech complex are proposed. The first application detects coverage holes
while the later one optimizes coverage of wireless networks.


title:
The Log Minimal Model Program for horospherical varieties via moment
  polytopes

abstract:
  In a previous work, we described the Minimal Model Program in the family of
$\Qbb$-Gorenstein projective horospherical varieties, by studying certain
continuous changes of moment polytopes of polarized horospherical varieties.
Here, we summarize the results of the previous work and we explain how to
generalize them in order to describe the Log Minimal Model Program for pairs
$(X,\D)$ when $X$ is a projective horospherical variety.


title: The nature of very low luminosity objects (VeLLOs)

abstract:
  The nature of very low luminosity objects with the internal luminosity L_obj
<= 0.1 Lsun is investigated by means of numerical modeling coupling the core
collapse simulations with the stellar evolution calculations. The gravitational
collapse of a large sample of model cores in the mass range 0.1-2.0 Msun is
investigated. Numerical simulations were started at the pre-stellar phase and
terminated at the end of the embedded phase when 90% of the initial core mass
had been accreted onto the forming protostar plus disk system. The disk
formation and evolution was studied using numerical hydrodynamics simulations,
while the formation and evolution of the central star was calculated using a
stellar evolution code. Three scenarios for mass accretion from the disk onto
the star were considered: hybrid accretion in which a fraction of accreted
energy absorbed by the protostar depends on the accretion rate, hot accretion
wherein a fraction of accreted energy is constant, and cold accretion wherein
all accretion energy is radiated away. Our conclusions on the nature of VeLLOs
depend crucially on the character of protostellar accretion. In the hybrid
accretion scenario, most VeLLOs (90.6%) are expected to be the first
hydrostatic cores (FHSCs) and only a small fraction (9.4%) are true protostars.
In the hot accretion scenario, all VeLLOs are FHSCs due to overly high
photospheric luminosity of protostars. In the cold accretion scenario, on the
contrary, the majority of VeLLOs belong to the Class I phase of stellar
evolution. The reason is that the stellar photospheric luminosity, which sets
the floor for the total internal luminosity of a young star, is lower in cold
accretion, thus enabling more VeLLOs in the protostellar stage. VeLLOs are
relatively rare objects occupying 7%-11% of the total duration of the embedded
phase and their masses do not exceed 0.3 Msun. (abridged).


title:
Experimental method for measuring classical concurrence of generic beam
  shapes

abstract:
  Classical entanglement is a powerful tool which provides a neat numerical
estimate for the study of classical correlations. Its experimental
investigation, however, has been limited to special cases. Here, we demonstrate
that the experimental quantification of the level of classical entanglement can
be carried out in more general instances. Our approach enables the extension to
arbitrarily shaped transverse modes and hence delivering a suitable
quantification tool to describe concisely the modal structure.


title: Fractal Optimization of Market Neutral Portfolio

abstract:
  A fractal approach to the long-short portfolio optimization is proposed. The
algorithmic system based on the composition of market-neutral spreads into a
single entity was considered. The core of the optimization scheme is a fractal
walk model of returns, optimizing a risk aversion according to the investment
horizon. The covariance matrix of spread returns has been used for the
optimization and modified according to the Hurst stability analysis.
Out-of-sample performance data has been represented for the space of exchange
traded funds in five period time period of observation. The considered
portfolio system has turned out to be statistically more stable than a passive
investment into benchmark with higher risk adjusted cumulative return over the
observed period.


title: Observation of photon noise by cold-electron bolometers

abstract:
  We have measured a response to a black body radiation and noise of the
cold-electron bolometers. The experimental results have been fitted by
theoretical model with two heat-balance equations. The measured noise has been
decomposed into several terms with the help of theory. It is demonstrated that
the photon noise exceeds any other noise components, that allows us to conclude
that the bolometers see the photon noise. Moreover, a peculiar shape of the
noise dependence on the absorbed power originates completely from the photonic
component according to the theory. In the additional experiment on heating of
the cryostat plate together with the sample holder we have observed nearly
independence of the noise on the electron temperature of the absorber, which
has provided another proof of the presence of the photon noise in the first
experiment.


title: The probability that two random integers are coprime

abstract:
  An equivalence is proven between the Riemann Hypothesis and the speed of
convergence to 1/zeta(2) of the probability that two independent random
variables following the same geometric distribution are coprime integers, when
the parameter of the distribution goes to 0.


title: Perfect boundaries in rotor-router aggregation on cylinders

abstract:
  We study a rotor-router version of the internal diffusion-limited aggregation
introduced by J.Propp. The existing estimations of boundary fluctuations of the
aggregation cluster show that they grow not faster than $O(\log r)$ with the
cluster radius $r$. We consider the rotor-router internal DLA on the
semi-infinite cylinder and prove a constant width of boundary fluctuations not
depending on the radius of the cylinder.


title: New permanent approximation inequalities via identities

abstract:
  The aim of this paper is to present new upper bounds for the distance between
a properly normalized permanent of a rectangular complex matrix and the product
of the arithmetic means of the entries of its columns. It turns out that the
bounds improve on those from earlier work. Our proofs are based on some new
identities for the above-mentioned differences and also for related expressions
for matrices over a rational associative commutative unital algebra. Some of
our identities are generalizations of results in Dougall (Proceedings of the
Edinburgh Mathematical Society, 24, 61-77, 1905). Second order results are also
included.


title:
Universal deformation rings, endo-trivial modules, and semidihedral and
  generalized quaternion 2-groups

abstract:
  Let $k$ be a field of characteristic $p>0$, and let $W$ be a complete
discrete valuation ring of characteristic $0$ that has $k$ as its residue
field. Suppose $G$ is a finite group and $G^{\mathrm{ab},p}$ is its maximal
abelian $p$-quotient group. We prove that every endo-trivial $kG$-module $V$
has a universal deformation ring that is isomorphic to the group ring
$WG^{\mathrm{ab},p}$. In particular, this gives a positive answer to a question
raised by Bleher and Chinburg for all endo-trivial modules. Moreover, we show
that the universal deformation of $V$ over $WG^{\mathrm{ab},p}$ is uniquely
determined by any lift of $V$ over $W$. In the case when $p=2$ and
$G=\mathrm{D}$ is a $2$-group that is either semidihedral or generalized
quaternion, we give an explicit description of the universal deformation of
every indecomposable endo-trivial $k\mathrm{D}$-module $V$.


title: Structure of the shock at the surface of CTTS

abstract:
  A steady-state structure and spectrum of the accretion zone at the surface of
T Tauri stars are numerically simulated. This modeling uses well-developed
methods of the theory of stellar atmospheres with inclusion of the effects of
the gas motion (advection and the doppler shift of the lines). The spectrum
$I_{\nu}(\mu)$ and cooling rate of shocked gas are calculated. It is found that
at the pre-shock densities $N_0>10^{13}$ cm$^{-3}$ helium and hydrogen lines
show a red-shifted absorption, significantly broadened by the Stark effect.


title:
Segmentation of large images based on super-pixels and community
  detection in graphs

abstract:
  Image segmentation has many applications which range from machine learning to
medical diagnosis. In this paper, we propose a framework for the segmentation
of images based on super-pixels and algorithms for community identification in
graphs. The super-pixel pre-segmentation step reduces the number of nodes in
the graph, rendering the method the ability to process large images. Moreover,
community detection algorithms provide more accurate segmentation than
traditional approaches, such as those based on spectral graph partition. We
also compare our method with two algorithms: a) the graph-based approach by
Felzenszwalb and Huttenlocher and b) the contour-based method by Arbelaez.
Results have shown that our method provides more precise segmentation and is
faster than both of them.


title:
Modelling and Analysis of Quantum Key Distribution Protocols, BB84 and
  B92, in Communicating Quantum Processes(CQP) language and Analysing in PRISM

abstract:
  Proof of security of cryptographic protocols theoretically establishes the
strength of a protocol and the constraints under which it can perform, it does
not take into account the overall design of the protocol. In the past model
checking has been successfully applied to classical cryptographic protocols to
weed out design flaws which would have otherwise gone unnoticed. Quantum
cryptographic protocols differ from their classical counterparts, in their
ability to detect the presence of an eavesdropper. Although unconditional
security has been proven for both BB84 and B92 protocols, in this paper we show
that identifying an eavesdropper's presence is constrained on the number of
qubits exchanged. We first model the protocols in CQP and then explain the
mechanism by which we have translated this into a PRISM model. We mainly focus
on the protocols' ability to detect an active eavesdropper and the extent to
which an eavesdropper can retrieve the shared key without being detected by
either party. We then conclude by comparing the performance of the protocols.


title:
Empirical Evaluation of A New Approach to Simplifying Long Short-term
  Memory (LSTM)

abstract:
  The standard LSTM, although it succeeds in the modeling long-range
dependences, suffers from a highly complex structure that can be simplified
through modifications to its gate units. This paper was to perform an empirical
comparison between the standard LSTM and three new simplified variants that
were obtained by eliminating input signal, bias and hidden unit signal from
individual gates, on the tasks of modeling two sequence datasets. The
experiments show that the three variants, with reduced parameters, can achieve
comparable performance with the standard LSTM. Due attention should be paid to
turning the learning rate to achieve high accuracies


title:
Hemispherical Power Asymmetry of the Cosmic Microwave Background from a
  Remnant of a pre-Inflationary Topological Defect

abstract:
  Observations indicate that large-scale anomalies exist in the fluctuations of
the cosmic microwave background. In these anomalies, the hemispherical power
amplitude asymmetry has a correlation length comparable to that of the
observable universe. We propose that a topological defect created by
spontaneous breaking of the U(1) symmetry prior to inflation generated an
initial phase variation, $\delta \theta$, across the observable region of the
universe. The amplitude of this phase fluctuation is protected by topology if
the defect is inside the horizon, and is frozen by causality if the defect
exits the horizon. After inflation, the phase-corresponding boson field started
to oscillate, when the Hubble rate decreased to a level comparable to the mass
of the boson field. The energy density of the newly created boson particles
varied across the observable universe. The bosons subsequently decayed into
radiation prior to the BBN epoch, and the resulting fluctuations in the energy
density produced the observed power asymmetry. This scenario predicts a
scale-dependent modulation amplitude power asymmetry and in addition, as
topological defects created by phase transitions are a very general phenomenon,
the observed hemispherical asymmetry may be seen as an evidence for the
cosmological inflation.


title: Geographical Load Balancing across Green Datacenters

abstract:
  "Geographic Load Balancing" is a strategy for reducing the energy cost of
data centers spreading across different terrestrial locations. In this paper,
we focus on load balancing among micro-datacenters powered by renewable energy
sources. We model via a Markov Chain the problem of scheduling jobs by
prioritizing datacenters where renewable energy is currently available. Not
finding a convenient closed form solution for the resulting chain, we use mean
field techniques to derive an asymptotic approximate model which instead is
shown to have an extremely simple and intuitive steady state solution. After
proving, using both theoretical and discrete event simulation results, that the
system performance converges to the asymptotic model for an increasing number
of datacenters, we exploit the simple closed form model's solution to
investigate relationships and trade-offs among the various system parameters.


title: Non-conservative discrete-time ISS small-gain conditions for closed sets

abstract:
  This paper presents a unification and a generalization of the small-gain
theory subsuming a wide range of existing small-gain theorems. In particular,
we introduce small-gain conditions that are necessary and sufficient to ensure
input-to-state stability (ISS) with respect to closed sets. Toward this end, we
first develop a Lyapunov characterization of $\omega$ISS via finite-step
$\omega$ISS Lyapunov functions. Then, we provide the small-gain conditions to
guarantee $\omega$ISS of a network of systems. Finally, applications of our
results to partial input-to-state stability, ISS of time-varying systems,
synchronization problems, incremental stability, and distributed observers are
given.


title: Definable Categories

abstract:
  We introduce the notion of a definable category--a category equivalent to a
full subcategory of a locally finitely presentable category that is closed
under products, directed colimits and pure subobjects. Definable subcategories
are precisely the finite-injectivity classes. We prove a $2$-duality between
the $2$-category of small exact categories and the $2$-category of definable
categories, and provide a new proof of its additive version. We further
introduce a third vertex of the $2$-category of regular toposes and show that
the diagram of $2$-(anti-)equivalences between three $2$-categories commutes,
the corresponding additive triangle is well-known.


title: Continuity of Seminorms on Finite-Dimensional Vector Spaces

abstract:
  The main purpose of this note is to establish the continuity of seminorms on
finite-dimensional vector spaces over the real or complex numbers.


title:
Generalized Coherent States, Reproducing Kernels, and Quantum Support
  Vector Machines

abstract:
  The support vector machine (SVM) is a popular machine learning classification
method which produces a nonlinear decision boundary in a feature space by
constructing linear boundaries in a transformed Hilbert space. It is well known
that these algorithms when executed on a classical computer do not scale well
with the size of the feature space both in terms of data points and
dimensionality. One of the most significant limitations of classical algorithms
using non-linear kernels is that the kernel function has to be evaluated for
all pairs of input feature vectors which themselves may be of substantially
high dimension. This can lead to computationally excessive times during
training and during the prediction process for a new data point. Here, we
propose using both canonical and generalized coherent states to rapidly
calculate specific nonlinear kernel functions. The key link will be the
reproducing kernel Hilbert space (RKHS) property for SVMs that naturally arise
from canonical and generalized coherent states. Specifically, we discuss the
fast evaluation of radial kernels through a positive operator valued measure
(POVM) on a quantum optical system based on canonical coherent states. A
similar procedure may also lead to fast calculations of kernels not usually
used in classical algorithms such as those arising from generalized coherent
states.


title: Characterizations of the upper bound of Bakry-Emery curvature

abstract:
  In this paper, we will present some characterizations for the upper bound of
the Bakry-Emery curvature on a Riemannian manifold by using functional
inequalities on path space. Moreover, some characterizations for general lower
and upper bounds of Ricci curvature are also given, which extends the recent
results derived by Naber \cite{N} and Wang-Wu\cite{WW}.


title:
Exact simulation of the genealogical tree for a stationary branching
  population and application to the asymptotics of its total length

abstract:
  We consider a model of stationary population with random size given by a
continuous state branching process with immigration with a quadratic branching
mechanism. We give an exact elementary simulation procedure of the genealogical
tree of $n$ individuals randomly chosen among the extant population at a given
time. Then, we prove the convergence of the renormalized total length of this
genealogical tree as $n$ goes to infinity, see also Pfaffelhuber, Wakolbinger
and Weisshaupt (2011) in the context of a constant size population. The limit
appears already in Bi and Delmas (2016) but with a different approximation of
the full genealogical tree. The proof is based on the ancestral process of the
extant population at a fixed time which was defined by Aldous and Popovic
(2005) in the critical case.


title: COCO-Stuff: Thing and Stuff Classes in Context

abstract:
  Semantic classes can be either things (objects with a well-defined shape,
e.g. car, person) or stuff (amorphous background regions, e.g. grass, sky).
While lots of classification and detection works focus on thing classes, less
attention has been given to stuff classes. Nonetheless, stuff classes are
important as they allow to explain important aspects of an image, including (1)
scene type; (2) which thing classes are likely to be present and their location
(through contextual reasoning); (3) physical attributes, material types and
geometric properties of the scene. To understand stuff and things in context we
introduce COCO-Stuff, which augments all 164K images of the COCO 2017 dataset
with pixel-wise annotations for 91 stuff classes. We introduce an efficient
stuff annotation protocol based on superpixels, which leverages the original
thing annotations. We quantify the speed versus quality trade-off of our
protocol and explore the relation between annotation time and boundary
complexity. Furthermore, we use COCO-Stuff to analyze: (a) the importance of
stuff and thing classes in terms of their surface cover and how frequently they
are mentioned in image captions; (b) the spatial relations between stuff and
things, highlighting the rich contextual relations that make our dataset
unique; (c) the performance of a modern semantic segmentation method on stuff
and thing classes, and whether stuff is easier to segment than things.


title: Serrin's overdetermined problem on the sphere

abstract:
  We study Serrin's overdetermined boundary value problem \begin{equation*}
  -\Delta_{S^N}\, u=1 \quad \text{ in $\Omega$},\qquad u=0, \; \partial_\eta
u=\textrm{const} \quad \text{on $\partial \Omega$} \end{equation*} in
subdomains $\Omega$ of the round unit sphere $S^N \subset \mathbb{R}^{N+1}$,
where $\Delta_{S^N}$ denotes the Laplace-Beltrami operator on $S^N$. A
subdomain $\Omega$ of $S^N$ is called a Serrin domain if it admits a solution
of this overdetermined problem. In our main result, we construct Serrin domains
in $S^N$, $N \ge 2$ which bifurcate from symmetric straight tubular
neighborhoods of the equator. Our result provides the first example of Serrin
domains in $S^{N}$ which are not bounded by geodesic spheres.


title: Orthogonal expansions related to compact Gelfand pairs

abstract:
  Given a compact Gelfand pair (G,K) and a locally compact group L, we
characterize the class P_K^\sharp(G,L) of continuous positive definite
functions f:G\times L\to \C which are bi-invariant in the G-variable with
respect to K. The functions of this class are the functions having a uniformly
convergent expansion \sum_{\varphi\in Z} B(\varphi)(u)\varphi(x) for x\in
G,u\in L, where the sum is over the space Z of positive definite spherical
functions \varphi:G\to\C for the Gelfand pair, and (B(\varphi))_{\varphi\in Z}
is a family of continuous positive definite functions on L such that
\sum_{\varphi\in Z}B(\varphi)(e_L)<\infty. Here e_L is the neutral element of
the group L. For a compact abelian group G considered as a Gelfand pair (G,K)
with trivial K=\{e_G\}, we obtain a characterization of P(G\times L) in terms
of Fourier expansions on the dual group \widehat{G}.
  The result is described in detail for the case of the Gelfand pairs
(O(d+1),O(d)) and (U(q),U(q-1)) as well as for the product of these Gelfand
pairs.
  The result generalizes recent theorems of Berg-Porcu (2016) and
Guella-Menegatto (2016)


title: [WN] central stars of planetary nebulae

abstract:
  While most of the low-mass stars stay hydrogen-rich on their surface
throughout their evolution, a considerable fraction of white dwarfs as well as
central stars of planetary nebulae have a hydrogen-deficient surface
composition. The majority of these H-deficient central stars exhibit spectra
very similar to massive Wolf-Rayet stars of the carbon sequence, i.e. with
broad emission lines of carbon, helium, and oxygen. In analogy to the massive
Wolf-Rayet stars, they are classified as [WC] stars. Their formation, which is
relatively well understood, is thought to be the result of a (very) late
thermal pulse of the helium burning shell.
  It is therefore surprising that some H-deficient central stars which have
been found recently, e.g. IC 4663 and Abell 48, exhibit spectra that resemble
those of the massive Wolf-Rayet stars of the nitrogen sequence, i.e. with
strong emission lines of nitrogen instead of carbon. This new type of central
stars is therefore labelled [WN]. We present spectral analyses of these objects
and discuss the status of further candidates as well as the evolutionary status
and origin of the [WN] stars.


title:
Revealing a Triangular Lattice Ising Antiferromagnet in a Single-Crystal
  CeCd$_3$As$_3$

abstract:
  We report the single-crystal growth and the fundamental magnetic and
thermodynamic properties of a rare-earth triangular lattice antiferromagnet
CeCd$_3$As$_3$. In this rare-earth antiferromagnet, the Ce local moments form a
perfect triangular lattice. Due to the spin-orbital-entangled nature of the Ce
local moments, the compound exhibits extremely anisotropic antiferromagnetic
couplings along the c direction and in the ab plane respectively. We show that
CeCd$_3$As$_3$ represents a {\it rare} experimental realization of an
antiferromagnetic Ising model on a two dimensional triangular lattice and thus
provides a prototype example for geometrical frustration. We further discuss
the quantum effect of the perturbative interactions on the top of the
predominant Ising interaction.


title:
Large $\nu$-$\bar{\nu}$ Oscillations from High-Dimensional Lepton Number
  Violating Operator

abstract:
  It is usually believed that the observation of the neutrino-antineutrino
(${\nu}$-$\bar{\nu}$) oscillations is almost impossible since the oscillation
probabilities are expected to be greatly suppressed by the square of tiny ratio
of neutrino masses to energies. Such an argument is applicable to most models
for neutrino mass generation based on the Weinberg operator, including the
seesaw models. However, in the present paper, we shall give a counterexample to
this argument, and show that large $\nu$-$\bar{\nu}$ oscillation probabilities
can be obtained in a class of models in which both neutrino masses and
neutrinoless double beta ($0\nu\beta\beta$) decays are induced by the
high-dimensional lepton number violating operator ${\cal O}_7 = \bar{u}_R l^c_R
\bar{L}_L H^*d_R + {\rm H.c.}$ with $u$ and $d$ representing the first two
generations of quarks. In particular, we find that the predicted
$0\nu\beta\beta$ decay rates have already placed interesting constraints on the
$\nu_e \leftrightarrow \bar{\nu}_e$ oscillation. Moreover, we provide an
UV-complete model to realize this scenario, in which a dark matter candidate
naturally appears due to the new $U(1)_d$ symmetry.


title: One-sided convergence in the Boltzmann-Grad limit

abstract:
  We review various contributions on the fundamental work of Lanford deriving
the Boltzmann equation from hard-sphere dynamics in the low density limit. We
focus especially on the assumptions made on the initial data and on how they
encode irreversibility. The impossibility to reverse time in the Boltzmann
equation (expressed for instance by Boltzmann's H-theorem) is related to the
lack of convergence of higher order marginals on some singular sets. Explicit
counterexamples single out the microscopic sets where the initial data should
converge in order to produce the Boltzmann dynamics.


title: Fractional charge oscillations in quantum spin Hall quantum dots

abstract:
  We show that correlated two-particle backscattering can induce fractional
charge oscillations in a quantum dot built at the edge of a two-dimensional
topological insulator by means of magnetic barriers. The result nicely
complements recent works where the fractional oscillations were obtained
employing of semiclassical treatments. Moreover, since by rotating the
magnetization of the barriers a fractional charge can be trapped in the dot via
the Jackiw-Rebbi mechanism, the system we analyze offers the opportunity to
study the interplay between this noninteracting charge fractionalization and
the fractionalization due to two-particle backscattering. In this context, we
demonstrate that the number of fractional oscillations of the charge density
depends on the magnetization angle. Finally, we address the renormalization
induced by two-particle backscattering on the spin density, which is
characterized by a dominant oscillation, sensitive to the Jackiw-Rebbi charge,
with a wavelength twice as large as the charge density oscillations.


title: Way to observe the implausible "trion-polariton"

abstract:
  Using the composite boson (coboson) many-body formalism, we determine under
which conditions "trion-polariton" can exist. Dipolar attraction can bind an
exciton and an electron into a trion having an energy well separated from the
exciton energy. Yet, the existence of long-lived "trion-polariton" is a priori
implausible not only because the photon-trion coupling, which scales as the
inverse of the sample volume, is vanishingly small, but mostly because this
coupling is intrinsically "weak". Here, we show that a moderately dense Fermi
sea renders its observation possible: on the pro side, the Fermi sea overcomes
the weak coupling by pinning the photon to its momentum through Pauli blocking,
it also overcomes the dramatically poor photon-trion coupling by providing a
volume-linear trion subspace to which the photon is coherently coupled. On the
con side, the Fermi sea broadens the photon-trion resonance due to the
fermionic nature of trions and electrons, it also weakens the trion binding by
blocking electronic states relevant for trion formation. As a result, the
proper way to observe this novel polariton is to use doped semiconductor having
long-lived electronic states, highly-bound trion and Fermi energy as large as a
fraction of the trion binding energy.


title: Embeddings and associated spaces of Copson-Lorentz spaces

abstract:
  Let $m,p,q\in(0,\infty)$ and let $u,v,w$ be nonnegative weights. We
characterize validity of the inequality
  \[
  \left(\int_0^\infty w(t) (f^*(t))^q \, dt \right)^\frac 1q \le C
\left(\int_0^\infty v(t) \left(\int_t^\infty u(s) (f^*(s))^m \,ds \right)^\frac
pm \! dt \right)^\frac 1p
  \] for all measurable functions $f$ defined on $\mathbb{R}^n$ and provide
equivalent estimates of the optimal constant $C>0$ in terms of the weights and
exponents. The obtained conditions characterize the embedding of the
Copson-Lorentz space $CL^{m,p}(u,v)$, generated by the functional
  \[
  \|f\|_{{CL^{m,p}(u,v)}} := \left(\int_0^\infty v(t) \left(\int_t^\infty u(s)
(f^*(s))^m \,ds \right)^\frac pm \! dt \right)^\frac 1p,
  \] into the Lorentz space $\Lambda^q(w)$. Moreover, the results are applied
to describe the associated space of the Copson-Lorentz space ${CL^{m,p}(u,v)}$
for the full range of exponents $m,p\in(0,\infty)$.


title: How does the cosmic large-scale structure bias the Hubble diagram?

abstract:
  The Hubble diagram is one of the cornerstones of observational cosmology. It
is usually analysed assuming that, on average, the underlying relation between
magnitude and redshift matches the prediction of a
Friedmann-Lema\^itre-Robertson-Walker model. However, the inhomogeneity of the
Universe generically biases these observables, mainly due to peculiar
velocities and gravitational lensing, in a way that depends on the notion of
average used in theoretical calculations. In this article, we carefully derive
the notion of average which corresponds to the observation of the Hubble
diagram. We then calculate its bias at second-order in cosmological
perturbations, and estimate the consequences on the inference of cosmological
parameters, for various current and future surveys. We find that this bias
deeply affects direct estimations of the evolution of the dark-energy equation
of state. However, errors in the standard inference of cosmological parameters
remain smaller than observational uncertainties, even though they reach percent
level on some parameters; they reduce to sub-percent level if an optimal
distance indicator is used.


title: Exponential Self-Organization and Moore's Law: Measures and Mechanisms

abstract:
  The question how complex systems become more organized and efficient with
time is open. Examples are, the formation of elementary particles from pure
energy, the formation of atoms from particles, the formation of stars and
galaxies, the formation of molecules from atoms, of organisms, and of the
society. In this sequence, order appears inside complex systems and randomness
(entropy) is expelled to their surroundings. Key features of self-organizing
systems are that they are open and they are far away from equilibrium, with
increasing energy flowing through them. This work searches for global measures
of such self-organizing systems, that are predictable and do not depend on the
substrate of the system studied. Our results will help to understand the
existence of complex systems and mechanisms of self-organization. In part we
also provide insights, in this work, about the underlying physical essence of
the Moore's law and the multiple logistic growth observed in technological
progress.


title:
The WISSH Quasars Project I. Powerful ionised outflows in hyper-luminous
  quasars

abstract:
  Models and observations suggest that both power and effects of AGN feedback
should be maximised in hyper-luminous (L_Bol>10^47 erg/s) quasars, i.e. objects
at the brightest end of the AGN luminosity function. We present the first
results of a multi-wavelength observing program, focusing on a sample of
WISE/SDSS selected hyper-luminous (WISSH) broad-line quasars at z~1.5-5. The
WISSH quasars project has been designed to reveal the most energetic AGN-driven
outflows, estimate their occurrence at the peak of quasar activity and extend
the study of correlations between outflows and nuclear properties up to
poorly-investigated extreme AGN luminosities (L_Bol~10^47 -10^48 erg/s). We
present NIR, long-slit LBT/LUCI1 spectroscopy of five WISSH quasars at
z~2.3-3.5 showing prominent [OIII] emission lines with broad (FWHM~1200-2200
km/s) and skewed profiles. The luminosities of the broad [OIII] wings are the
highest measured so far (L_[OIII]^broad >~5x10^44 erg/s) and reveal the
presence of powerful ionised outflows with mass outflow rates Mdot >~1700
M_Sun/yr and kinetic powers Edot >~10^45 erg/s. Although these estimates are
affected by large uncertainties, due to the use of [OIII] as tracer of ionized
outflows and the very basic outflow model we assume, these results suggest that
the AGN is highly efficient in pushing outwards large amounts of ionised gas in
our targets. The mechanical outflow luminosities for WISSH quasars correspond
to higher fractions (~1-3%) of L_Bol than those derived for lower L_Bol AGN.
Our targets host very massive (M_BH>~2x10^9 M_Sun) black holes which are still
accreting at a high rate (i.e. a factor of ~0.4-3 of the Eddington limit).
These findings demonstrate that WISSH quasars offer the opportunity of probing
the extreme end of both luminosity and SMBH mass functions and revealing
powerful ionised outflows able to affect the evolution of their host galaxies.


title:
Assortative Mating: Encounter-Network Topology and the Evolution of
  Attractiveness

abstract:
  We model a social-encounter network where linked nodes match for reproduction
in a manner depending probabilistically on each node`s attractiveness. The
developed model reveals that increasing either the network`s mean degree or the
``choosiness`` exercised during pair-formation increases the strength of
positive assortative mating. That is, we note that attractiveness is correlated
among mated nodes. Their total number also increases with mean degree and
selectivity during pair-formation. By iterating over model mapping of parents
onto offspring across generations, we study the evolution of attractiveness.
Selection mediated by exclusion from reproduction increases mean
attractiveness, but is rapidly balanced by skew in the offspring distribution
of highly attractive mated pairs.


title: Dreidel Fairness Study

abstract:
  Are dreidels fair? In other words, does the average dreidel have an equal
chance of turning up any one of its four sides? To explore this hypothesis,
three different dreidels were each spun hundreds of times with the number of
occurrences of each side recorded. It was found that all three dreidels tested
-- a cheap plastic dreidel, an old wooden dreidel, and a dreidel that came
embossed with a picture of Santa Claus -- were not fair. Statistically, for
each dreidel, some sides came up significantly more often than others. Although
an unfair dreidel does not necessarily make the game itself unfair, it is
conjectured that hundreds of pounds of chocolate have been distributed during
Chanukah under false pretenses.


title:
A Note on Hamming distance of constacyclic codes of length $p^s$ over
  $\mathbb F_{p^m} + u\mathbb F_{p^m}$

abstract:
  For any prime $p$, $\lambda$-constacyclic codes of length $p^s$ over ${\cal
R}=\mathbb{F}_{p^m} + u\mathbb{F}_{p^m}$ are precisely the ideals of the local
ring ${\cal R}_{\lambda}=\frac{{\cal R}[x]}{\left\langle x^{p^s}-\lambda
\right\rangle}$, where $u^2=0$. In this paper, we first investigate the Hamming
distances of cyclic codes of length $p^s$ over ${\cal R}$. The minimum Hamming
distances of all cyclic codes of length $p^s$ over ${\cal R}$ are determined.
Moreover, an isometry between cyclic and $\alpha$-constacyclic codes of length
$p^s$ over ${\cal R}$ is established, where $\alpha$ is a nonzero element of
$\mathbb{F}_{p^m}$, which carries over the results regarding cyclic codes
corresponding to $\alpha$-constacyclic codes of length $p^s$ over ${\cal R}$.


title: On exotic equivalences and a theorem of Franke

abstract:
  Using Franke's methods we construct new examples of exotic equivalences. We
show that for any symmetric ring spectrum $R$ whose graded homotopy ring
$\pi_*R$ is concentrated in dimensions divisible by a natural number $N \geq 5$
and has homological dimension at most three, the homotopy category of
$R$-modules is equivalent to the derived category of $\pi_*R$. The
Johnson-Wilson spectrum $E(3)$ and the truncated Brown-Peterson spectrum
$BP\langle 2 \rangle$ for any prime $p \geq 5$ are our main examples. If
additionally the homological dimension of $\pi_*R$ is equal to two, then the
homotopy category of $R$-modules and the derived category of $\pi_*R$ are
triangulated equivalent. Here the main examples are $E(2)$ and $BP \langle 1
\rangle$ at $p \geq 5$. The last part of the paper discusses a triangulated
equivalence between the homotopy category of $E(1)$-local spectra at a prime $p
\geq 5$ and the derived category of Franke's model. This is a theorem of Franke
and we fill a gap in the proof.


title: Lateral Casimir force on a rotating particle near a planar surface

abstract:
  We study the lateral Casimir force experienced by a particle that rotates
near a planar surface. The origin of this force lies in the symmetry breaking
induced by the particle rotation in the vacuum and thermal fluctuations of its
dipole moment, and, therefore, in contrast to lateral Casimir forces previously
described in the literature for corrugated surfaces, it exists despite the
translational invariance of the planar surface. Working within the framework of
fluctuational electrodynamics, we derive analytical expressions for the lateral
force and analyze its dependence on the geometrical and material properties of
the system. In particular, we show that the direction of the force can be
controlled by adjusting the particle-surface distance, which may be exploited
as a new mechanism to manipulate nanoscale objects.


title: Josephson effect in a Weyl SNS junction

abstract:
  We calculate the Josephson current density j(phi) for a Weyl
superconductor--normal-metal--superconductor junction for which the outer
terminals are superconducting Weyl metals and the normal layer is a Weyl
(semi)metal. We describe the Weyl (semi)metal using a simple model with two
Weyl points. The model has broken time-reveresal symmetry, but inversion
symmetry is present. We calculate the Josephson current for both zero and
finite temperature for the two pairing mechanisms inside the superconductors
that have been proposed in the literature, zero-momentum BCS-like pairing and
finite-momentum FFLO-like pairing, and assuming the short-junction limit. For
both pairing types we find that the current is proportional to the normal-state
junction conductivity, with a proportionality coefficient that shows
quantitative differences between the two pairing mechanisms. The current for
the BCS-like pairing is found to be independent of the chemical potential,
whereas the current for the FFLO-like pairing is not.


title: A Note on Testing Intersection of Convex Sets in Sublinear Time

abstract:
  We present a simple sublinear time algorithm for testing the following
geometric property. Let $P_1, ..., P_n$ be $n$ convex sets in $\mathbb{R}^d$
($n \gg d$), such as polytopes, balls, etc. We assume that the complexity of
each set depends only on $d$ (and not on the number of sets $n$). We test the
property that there exists a common point in all sets, i.e. that their
intersection is nonempty. Our goal is to distinguish between the case where the
intersection is nonempty, and the case where even after removing many of the
sets the intersection is empty. In particular, our algorithm returns PASS if
all of the $n$ sets intersect, and returns FAIL with probability at least
$1-\epsilon$ if no point belongs to $\frac{\alpha}{d+1} n$ sets, for any given
$0 < \alpha, \epsilon < 1$.


title: The Roller-Coaster Conjecture Revisited

abstract:
  A graph is well-covered if all its maximal independent sets are of the same
cardinality (Plummer, 1970). If G is a well-covered graph, has at least two
vertices, and G-v is well-covered for every vertex v, then G is a
1-well-covered graph (Staples, 1975). We call G a {\lambda}-quasi-regularizable
graph if {\lambda} |S| =< |N(S)| for every independent set S of G. The
independence polynomial I(G;x) is the generating function of independent sets
in a graph G (Gutman & Harary, 1983). The Roller-Coaster Conjecture (Michael &
Travis, 2003), saying that for every permutation {\sigma} of the set
{({\alpha}/2),...,{\alpha}} there exists a well-covered graph G with
independence number {\alpha} such that the coefficients (s_{k}) of I(G;x) are
chosen in accordance with {\sigma}, has been validated in (Cutler & Pebody,
2017). In this paper, we show that independence polynomials of
{\lambda}-quasi-regularizable graphs are partially unimodal. More precisely,
the coefficients of an upper part of I(G;x) are in non-increasing order. Based
on this finding, we prove that the domain of the Roller- Coaster Conjecture can
be shortened for well-covered graphs and 1-well-covered graphs.


title:
Asymptotic problems and numerical schemes for traffic flows with
  unilateral constraints describing the formation of jams

abstract:
  We discuss numerical strategies to deal with PDE systems describing traffic
flows, taking into account a density threshold, which restricts the vehicles
density in the situation of congestion. These models are obtained through
asymptotic arguments. Hence, we are interested in the simulation of approached
models that contain stiff terms and large speeds of propagation. We design
schemes intended to apply with relaxed stability conditions.


title: On the multivariate Fujiwara bound for exponential sums

abstract:
  We prove the multivariate Fujiwara bound for exponential sums: for a
$d$-variate exponential sum $f$ with scaling parameter $\mu$, if $x$ is
contained in the amoeba $\mathscr{A}(f)$, then the distance from $x$ to the
Archimedean tropical variety associated to $f$ is at most $d \sqrt{d}\, 2\log(2
+ \sqrt{3})/ \mu$. If $f$ is polynomial, then the bound can be improved to $d
\log(2 + \sqrt{3})$.


title:
Lorentz Force and Ponderomotive Force in the Presence of a Minimal
  Length

abstract:
  In this work, according to the electromagnetic field tensor in the framework
of generalized uncertainty principle (GUP), we obtain the Lorentz force and
Faraday's law of induction in the presence of a minimal length. Also, the
ponderomotive force and pomderomotive pressure in the presence of a measurable
minimal length are found.


title:
Persistent current and zero-energy Majorana modes in a p-wave disordered
  superconducting ring

abstract:
  We discuss the emergence of zero-energy Majorana modes in a disordered
finite-length p-wave one-dimensional superconducting ring, pierced by a
magnetic flux $\Phi$ tuned at an appropriate value $\Phi=\Phi_*$. In the
absence of fermion parity conservation, we evidence the emergence of the
Majorana modes by looking at the discontinuities in the persistent current
$I[\Phi]$ at $\Phi=\Phi_*$. By monitoring the discontinuities in $I[\Phi]$, we
map out the region in parameter space characterized by the emergence of
Majorana modes in the disordered ring.


title: Inductive McKay condition for finite simple groups of type C

abstract:
  We verify the inductive McKay condition for simple groups of Lie type C,
namely finite projective symplectic groups. This contributes to the program of
a complete proof of the McKay conjecture for all finite groups via the
reduction theorem of Isaacs-Malle-Navarro and the classification of finite
simple groups. In an important step we use a new counting argument to determine
the stabilizers of irreducible characters of a finite symplectic group in its
outer automorphism group. This is completed by analogous results on characters
of normalizers of Sylow d-tori in those groups.


title:
Formation of coalition structures as a non-cooperative game 2:
  applications

abstract:
  The paper uses a non-cooperative simultaneous game for coalition structure
formation (Levando, 2016) to demonstrate some applications of the introduced
game: a cooperation, a Bayesian game within a coalition with intra-coalition
externalities, a stochastic game, where states are coalition structures;
self-enforcement properties of a non-cooperative equilibrium and a construction
of a non-cooperative stability criterion.


title: An anticyclotomic Mazur-Tate conjecture for modular forms

abstract:
  Under certain assumptions, we prove an anticyclotomic analogue of the "weak
main conjecture" \`a la Mazur and Tate for modular forms over a large class of
cyclic ring class extensions.


title: Fault Attacks on Encrypted General Purpose Compute Platforms

abstract:
  Adversaries with physical access to a target platform can perform cold boot
or DMA attacks to extract sensitive data from the RAM. In response, several
main-memory encryption schemes have been proposed to prevent such attacks. Also
hardware vendors have acknowledged the threat and already announced respective
hardware extensions. Intel's SGX and AMD's SME will provide means to encrypt
parts of the RAM to protect security-relevant assets that reside there.
Encrypting the RAM will protect the user's content against passive
eavesdropping. However, the level of protection it provides in scenarios that
involve an adversary who is not only able to read from RAM but can also change
content in RAM is less clear. Obviously, encryption offers some protection
against such an "active" adversary: from the ciphertext the adversary cannot
see what value is changed in the plaintext, nor predict the system behaviour
based on the changes. But is this enough to prevent an active adversary from
performing malicious tasks? This paper addresses the open research question
whether encryption alone is a dependable protection mechanism in practice when
considering an active adversary. To this end, we first build a software based
memory encryption solution on a desktop system which mimics AMD's SME.
Subsequently, we demonstrate a proof-of-concept fault attack on this system, by
which we are able to extract the private RSA key of a GnuPG user. Our work
suggests that transparent memory encryption is not enough to prevent active
attacks.


title: Anti de Sitter Holography via Sekiguchi Decomposition

abstract:
  In the present paper we start consideration of anti de Sitter holography in
the general case of the (q+1)-dimensional anti de Sitter bulk with boundary
q-dimensional Minkowski space-time. We present the group-theoretic foundations
that are necessary in our approach. Comparing what is done for q=3 the new
element in the present paper is the presentation of the bulk space as the
homogeneous space G/H = SO(q,2)/SO(q,1), which homogeneous space was studied by
Sekiguchi.


title: Rigidity results for Riemannian spin^c manifolds with foliated boundary

abstract:
  Given a Riemannian spin^c manifold whose boundary is endowed with a
Riemannian flow, we show that any solution of the basic Dirac equation
satisfies an integral inequality depending on geometric quantities, such as the
mean curvature and the O'Neill tensor. We then characterize the equality case
of the inequality when the ambient manifold is a domain of a K\"ahler-Einstein
manifold or a Riemannian product of a K\"ahler-Einstein manifold with R (or
with the circle S^1).


title:
Static Einstein-Maxwell Magnetic Solitons and Black Holes in an Odd
  Dimensional AdS Spacetime

abstract:
  We construct a new class of Einstein-Maxwell static solutions with a magnetic
field in $D$-dimensions (with $D\geq 5$ an odd number), approaching at infinity
a globally Anti-de Sitter (AdS) spacetime. In addition to the mass, the new
solutions possess an extra-parameter associated with a non-zero magnitude of
the magnetic potential at infinity. Some of the black holes possess a
non-trivial zero-horizon size limit, which corresponds to a solitonic
deformation of the AdS background.


title:
Development and Operation of a Pr2Fe14B Based Cryogenic Permanent Magnet
  Undulator for a High Spatial Resolution X-ray Beamline

abstract:
  Short period, high field undulators are used to produce hard X-rays on
synchrotron radiation based storage ring facilities of intermediate energy and
enable short wavelength Free Electron Laser. Cryogenic permanent magnet
undulators take benefit from improved magnetic properties of RE2Fe14B (Rare
Earth based magnets) at low temperatures for achieving short period, high
magnetic field and high coercivity. Using Pr2Fe14B instead of Nd2Fe14B, which
is generally employed for undulators, avoids the limitation caused by the Spin
Reorientation Transition phenomenon, and simplifies the cooling system by
allowing the working temperature of the undulator to be directly at the liquid
nitrogen one (77 K). We describe here the development of a full scale (2 m), 18
mm period Pr2Fe14B cryogenic permanent magnet undulator (U18). The design,
construction and optimization, as well as magnetic measurements and shimming at
low temperature are presented. The commissioning and operation of the undulator
with the electron beam and spectrum measurement using the Nanoscopmium beamline
at SOLEIL are also reported.


title: Canonical Acoustic Thin-Shell Wormholes

abstract:
  In this paper we model a canonical acoustic thin shell wormhole (CATSW) in
the framework of analogue gravity systems. In this model we apply cut and paste
technique to join together two spherically symmetric, analogue canonical
acoustic solutions, and compute the analogue surface density/surface pressure
of the fluid using the Darmois- Israel formalism. We study the stability
analyses by using a linear barotropic fluid (LBF), chaplygin fluid (CF),
logarithmic fluid (LogF), polytropic fluid (PF), and finally Van der Waals
Quintessence (VDWQ). We show that a kind of analog acoustic fluid with negative
energy is required at the throat to keep the wormhole stable. It is argued
that, CATSW can be a stabile thin-shell wormhole if we choose a suitable
parameter values.


title: Semi-Fredholmness of the discrete Gauss-Bonnet Operator

abstract:
  In the context of an infinite locally finite weighted graph, we give a
necessary and sufficientcondition for semi-Fredholmness of the Gauss-Bonnet
operator. This result is a discrete version of thetheorem of Gilles Carron in
the continuous case [5]. In addition, using a criterion of Anghel [2], we givea
sufficient condition to have an operator of Gauss-Bonnet with closed range.
Finally, this work can beconsidered as an extension of the work of Colette
Ann\'e and Nabila Torki-Hamza [3].


title: On the largest multilinear singular values of higher-order tensors

abstract:
  Let $\sigma_n$ denote the largest mode-$n$ multilinear singular value of an
$I_1\times\dots \times I_N$ tensor $\mathcal T$. We prove that
  $$
  \sigma_1^2+\dots+\sigma_{n-1}^2+\sigma_{n+1}^2+\dots+\sigma_{N}^2\leq
(N-2)\|\mathcal T\|^2 + \sigma_n^2,\quad n=1,\dots,N, \qquad\qquad (1)
  $$ where $\|\cdot\|$ denotes the Frobenius norm. We also show that at least
for the cubic tensors the inverse problem always has a solution. Namely, for
each $\sigma_1,\dots,\sigma_N$ that satisfy (1) and the trivial inequalities
$\sigma_1\geq \frac{1}{\sqrt{I}}\|\mathcal T\|,\dots, \sigma_N\geq
\frac{1}{\sqrt{I}}\|\mathcal T\|$, there always exists an $I\times \dots\times
I$ tensor whose largest multilinear singular values are equal to
$\sigma_1,\dots,\sigma_N$.
  For $N=3$ we show that if the equality $\sigma_1^2+\sigma_2^2= \|\mathcal
T\|^2 + \sigma_3^2$ in (1) holds, then $\mathcal T$ is necessarily equal to a
sum of multilinear rank-$(L_1,1,L_1)$ and multilinear rank-$(1,L_2,L_2)$
tensors and we give a complete description of all its multilinear singular
values. We establish a connection with honeycombs and eigenvalues of the sum of
two Hermitian matrices. This seems to give at least a partial explanation of
why results on the joint distribution of multilinear singular values are
scarce.


title: Angular Momentum of Dwarf Galaxies

abstract:
  We present measurements of baryonic mass Mb and specific angular momentum
(sAM) jb in 14 rotating dwarf Irregular (dIrr) galaxies from the LITTLE THINGS
sample. These measurements, based on 21cm kinematic data from the Very Large
Array and stellar mass maps from the Spitzer Space Telescope, extend previous
AM measurements by more than two orders of magnitude in Mb. The dwarf galaxies
show systematically higher jb values than expected from the jb~Mb^{2/3} scaling
of spiral galaxies, representative of a scale-free galaxy formation scenario.
This offset can be explained by decreasing baryon mass fractions fM=Mb Mdyn
(where Mdyn is the dynamical mass) with decreasing Mb (for Mb<10^{11}Msun). We
find that the sAM of neutral atomic hydrogen HI alone is about 2.5 times higher
than that of the stars. The M-j relation of HI is significantly steeper than
that of the stars, as a direct consequence of the systematic variation of the
HI fraction with Mb.


title: Primordial black hole and wormhole formation by domain walls

abstract:
  In theories with a broken discrete symmetry, Hubble sized spherical domain
walls may spontaneously nucleate during inflation. These objects are
subsequently stretched by the inflationary expansion, resulting in a broad
distribution of sizes. The fate of the walls after inflation depends on their
radius. Walls smaller than a critical radius fall within the cosmological
horizon early on and collapse due to their own tension, forming ordinary black
holes. But if a wall is large enough, its repulsive gravitational field becomes
dominant much before the wall can fall within the cosmological horizon. In this
"supercritical" case, a wormhole throat develops, connecting the ambient
exterior FRW universe with an interior baby universe, where the exponential
growth of the wall radius takes place. The wormhole pinches off in a time-scale
comparable to its light-crossing time, and black holes are formed at its two
mouths. As discussed in previous work, the resulting black hole population has
a wide distribution of masses and can have significant astrophysical effects.
The mechanism of black hole formation has been previously studied for a
dust-dominated universe. Here we investigate the case of a radiation-dominated
universe, which is more relevant cosmologically, by using numerical simulations
in order to find the initial mass of a black hole as a function of the wall
size at the end of inflation. For large supercritical domain walls, this mass
nearly saturates the upper bound according to which the black hole cannot be
larger than the cosmological horizon. We also find that the subsequent
accretion of radiation satisfies a scaling relation, resulting in a mass
increase by about a factor of 2.


title: A Montel-type theorem for mixed differences

abstract:
  We prove a generalization of classical Montel's theorem for the mixed
differences case, for polynomials and exponential polynomial functions, in
commutative setting.


title:
The Lie group of automorphisms of a Courant algebroid and the moduli
  space of generalized metrics

abstract:
  We endow the group of automorphisms of an exact Courant algebroid over a
compact manifold with an infinite dimensional Lie group structure modelled on
the inverse limit of Hilbert spaces (ILH). We prove a slice theorem for the
action of this Lie group on the space of generalized metrics. As an
application, we show that the moduli space of generalized metrics is stratified
by ILH submanifolds and relate it to the moduli space of usual metrics.
Finally, we extend these results to odd exact Courant algebroids.


title:
On certain generalizations of the Levi-Civita and Wilson functional
  equations

abstract:
  We study the functional equation \[ \sum_{i=1}^mf_i(b_ix+c_iy)=
\sum_{k=1}^nu_k(y)v_k(x) \] with $x,y\in\mathbb{R}^d$ and $b_i,c_i\in
{GL}(d,\mathbb{R})$, both in the classical context of continuous complex-valued
functions and in the framework of complex-valued Schwartz distributions, where
these equations are properly introduced in two different ways. The solution
sets are, typically, exponential polynomials and, in some particular cases,
related to so called characterization problem of the normal distribution in
Probability Theory, they reduce to ordinary polynomials.


title: Cache-enabled Uplink Transmission in Wireless Small Cell Networks

abstract:
  It is starting to become a big trend in the era of social networking that
people produce and upload user-generated contents to Internet via wireless
networks, bringing a significant burden on wireless uplink networks. In this
paper, we contribute to designing and theoretical understanding of wireless
cache-enabled upload transmission in a delay-tolerant small cell network to
relieve the burden, and then propose the corresponding scheduling policies for
the small base station (SBS) under the infinite and finite cache sizes.
Specifically, the cache ability introduced by SBS enables SBS to eliminate the
redundancy among the upload contents from users. This strategy not only
alleviates the wireless backhual traffic congestion from SBS to a macro base
station (MBS), but also improves the transmission efficiency of SBS. We then
investigate the scheduling schemes of SBS to offload more data traffic under
caching size constraint. Moreover, two operational regions for the wireless
cache-enabled upload network, namely, the delay-limited region and the
cache-limited region, are established to reveal the fundamental tradeoff
between the delay tolerance and the cache ability. Finally, numerical results
are provided to demonstrate the significant performance gains of the proposed
wireless cache-enabled upload network.


title: Lambda-nuclear interactions and hyperon puzzle in neutron stars

abstract:
  Brueckner theory is used to investigate the in-medium properties of a
$\Lambda$-hyperon in nuclear and neutron matter, based on hyperon-nucleon
interactions derived within SU(3) chiral effective field theory (EFT). It is
shown that the resulting $\Lambda$ single-particle potential
$U_\Lambda(p_\Lambda =0,\rho)$ becomes strongly repulsive for densities $\rho$
of two-to-three times that of normal nuclear matter. Adding a density-dependent
effective $\Lambda N$-interaction constructed from chiral $\Lambda NN$
three-body forces increases the repulsion further. Consequences of these
findings for neutron stars are discussed. It is argued that for hyperon-nuclear
interactions with properties such as those deduced from the SU(3) EFT
potentials, the onset for hyperon formation in the core of neutron stars is
expected to be shifted to extremely high baryon density, thus potentially
resolving the so-called hyperon puzzle.


title: Generating series of Periodic Parallelogram polyominoes

abstract:
  The aim of this work is the study of the class of periodic parallelogram
polyominoes, and two of its variantes. These objets are related to 321-avoiding
affine permutations. We first provide a bijection with the set of triangles
under Dyck paths. We then prove the ultimate periodicity of the generating
series of our objects, and introduced a notion of primitive polyominoes, which
we enumerate. We conclude by an asymptotic analysis.


title: Consensus clustering approach to group brain connectivity matrices

abstract:
  A novel approach rooted on the notion of consensus clustering, a strategy
developed for community detection in complex networks, is proposed to cope with
the heterogeneity that characterizes connectivity matrices in health and
disease. The method can be summarized as follows:
  (i) define, for each node, a distance matrix for the set of subjects by
comparing the connectivity pattern of that node in all pairs of subjects; (ii)
cluster the distance matrix for each node; (iii) build the consensus network
from the corresponding partitions; (iv) extract groups of subjects by finding
the communities of the consensus network thus obtained.
  Differently from the previous implementations of consensus clustering, we
thus propose to use the consensus strategy to combine the information arising
from the connectivity patterns of each node. The proposed approach may be seen
either as an exploratory technique or as an unsupervised pre-training step to
help the subsequent construction of a supervised classifier. Applications on a
toy model and two real data sets, show the effectiveness of the proposed
methodology, which represents heterogeneity of a set of subjects in terms of a
weighted network, the consensus matrix.


title:
Approximate Recursive Identification of Autoregressive Systems with
  Skewed Innovations

abstract:
  We propose a novel recursive system identification algorithm for linear
autoregressive systems with skewed innovations. The algorithm is based on the
variational Bayes approximation of the model with a multivariate normal prior
for the model coefficients, multivariate skew-normally distributed innovations,
and matrix-variate-normal - inverse-Wishart prior for the parameters of the
innovation distribution. The proposed algorithm simultaneously estimates the
model coefficients as well as the parameters of the innovation distribution,
which are both allowed to be slowly time-varying. Through computer simulations,
we compare the proposed method with a variational algorithm based on the
normally-distributed innovations model, and show that modelling the skewness
can provide improvement in identification accuracy.


title:
From narrative descriptions to MedDRA: automagically encoding adverse
  drug reactions

abstract:
  The collection of narrative spontaneous reports is an irreplaceable source
for the prompt detection of suspected adverse drug reactions (ADRs): qualified
domain experts manually revise a huge amount of narrative descriptions and then
encode texts according to MedDRA standard terminology. The manual annotation of
narrative documents with medical terminology is a subtle and expensive task,
since the number of reports is growing up day-by-day. MagiCoder, a Natural
Language Processing algorithm, is proposed for the automatic encoding of
free-text descriptions into MedDRA terms. MagiCoder procedure is efficient in
terms of computational complexity (in particular, it is linear in the size of
the narrative input and the terminology). We tested it on a large dataset of
about 4500 manually revised reports, by performing an automated comparison
between human and MagiCoder revisions. For the current base version of
MagiCoder, we measured: on short descriptions, an average recall of $86\%$ and
an average precision of $88\%$; on medium-long descriptions (up to 255
characters), an average recall of $64\%$ and an average precision of $63\%$.
From a practical point of view, MagiCoder reduces the time required for
encoding ADR reports. Pharmacologists have simply to review and validate the
MagiCoder terms proposed by the application, instead of choosing the right
terms among the 70K low level terms of MedDRA. Such improvement in the
efficiency of pharmacologists' work has a relevant impact also on the quality
of the subsequent data analysis. We developed MagiCoder for the Italian
pharmacovigilance language. However, our proposal is based on a general
approach, not depending on the considered language nor the term dictionary.


title: Simulation of waviness in neutron guides

abstract:
  As the trend of neutron guide designs points towards longer and more complex
guides, imperfections such as waviness becomes increasingly important.
Simulations of guide waviness has so far been limited by a lack of reasonable
waviness models. We here present a stochastic description of waviness and its
implementation in the McStas simulation package. The effect of this new
implementation is compared to the guide simulations without waviness and the
simple, yet unphysical, waviness model implemented in McStas 1.12c and 2.0.


title: Generating series of cyclically fully commutative elements is rational

abstract:
  In this paper, we study the generating function of cyclically fully
commutative elements in Coxeter groups, which are elements such that any cyclic
shift of theirs reduced decompositions remains a reduced expression of a fully
commutative element. By designing a finite state automaton recognizing reduced
expressions of cyclically fully commutative elements, we can show that the
aforementioned generating series is always rational.


title: Tensions in the flavour sector

abstract:
  Flavour physics is currently well described by the Standard Model except for
some measurements which could be signalling new physics. We briefly summarize
the status of tensions in rare exclusive semi-leptonic $B$ decays and in
$R_{K/D^{(\ast)}}$ ratios. We also address the issue of the long standing
tension in the $|V_{cb}|$ and $|V_{ub}|$ exclusive/inclusive determinations.


title:
Numerical Computation of Exponential Functions of Nabla Fractional
  Calculus

abstract:
  In this article, we illustrate the asymptotic behaviour of exponential
functions of nabla fractional calculus. For this purpose, we propose a novel
matrix technique to compute these functions numerically.


title:
Estimating the error of an analog quantum simulator by additional
  measurements

abstract:
  We study an analog quantum simulator coupled to a reservoir with a known
spectral density. The reservoir perturbs the quantum simulation by causing
decoherence. The simulator is used to measure an operator average, which cannot
be calculated using any classical means. Since we cannot predict the result, it
is difficult to estimate the effect of the environment. Especially, it is
difficult to resolve whether the perturbation is small or if the actual result
of the simulation is in fact very different from the ideal system we intend to
study. Here, we show that in specific systems a measurement of additional
correlators can be used to verify the reliability of the quantum simulation.
The procedure only requires additional measurements on the quantum simulator
itself. We demonstrate the method theoretically in the case of a single spin
connected to a bosonic environment.


title: On a diophantine equation of M. J. Karama

abstract:
  For every positive integer $n$, an infinite family of positive integral
solutions of the diophantine equation $x^n - y^n = z^{n+1}$ is constructed.


title: Context-aware Sentiment Word Identification: sentiword2vec

abstract:
  Traditional sentiment analysis often uses sentiment dictionary to extract
sentiment information in text and classify documents. However, emerging
informal words and phrases in user generated content call for analysis aware to
the context. Usually, they have special meanings in a particular context.
Because of its great performance in representing inter-word relation, we use
sentiment word vectors to identify the special words. Based on the distributed
language model word2vec, in this paper we represent a novel method about
sentiment representation of word under particular context, to be detailed, to
identify the words with abnormal sentiment polarity in long answers. Result
shows the improved model shows better performance in representing the words
with special meaning, while keep doing well in representing special idiomatic
pattern. Finally, we will discuss the meaning of vectors representing in the
field of sentiment, which may be different from general object-based
conditions.


title: Neurogenesis Deep Learning

abstract:
  Neural machine learning methods, such as deep neural networks (DNN), have
achieved remarkable success in a number of complex data processing tasks. These
methods have arguably had their strongest impact on tasks such as image and
audio processing - data processing domains in which humans have long held clear
advantages over conventional algorithms. In contrast to biological neural
systems, which are capable of learning continuously, deep artificial networks
have a limited ability for incorporating new information in an already trained
network. As a result, methods for continuous learning are potentially highly
impactful in enabling the application of deep networks to dynamic data sets.
Here, inspired by the process of adult neurogenesis in the hippocampus, we
explore the potential for adding new neurons to deep layers of artificial
neural networks in order to facilitate their acquisition of novel information
while preserving previously trained data representations. Our results on the
MNIST handwritten digit dataset and the NIST SD 19 dataset, which includes
lower and upper case letters and digits, demonstrate that neurogenesis is well
suited for addressing the stability-plasticity dilemma that has long challenged
adaptive machine learning algorithms.


title: Extensions of character formulas by the Littlewood decomposition

abstract:
  In 2015, the author proved combinatorially character formulas expressing sums
of the (formal) dimensions of irreducible representations of symplectic groups,
refining some works of Nekrasov and Okounkov, Han, King, and Westbury. In this
article, we obtain generalizations of these character formulas, by using a
bijection on integer partitions, namely the Littlewood decomposition, for which
we prove new properties. As applications, we derive signed generating functions
for subsets of integer partitions, and new hook length formulas.


title: SimTensor: A synthetic tensor data generator

abstract:
  SimTensor is a multi-platform, open-source software for generating artificial
tensor data (either with CP/PARAFAC or Tucker structure) for reproducible
research on tensor factorization algorithms. SimTensor is a stand-alone
application based on MATALB. It provides a wide range of facilities for
generating tensor data with various configurations. It comes with a
user-friendly graphical user interface, which enables the user to generate
tensors with complicated settings in an easy way. It also has this facility to
export generated data to universal formats such as CSV and HDF5, which can be
imported via a wide range of programming languages (C, C++, Java, R, Fortran,
MATLAB, Perl, Python, and many more). The most innovative part of SimTensor is
this that can generate temporal tensors with periodic waves, seasonal effects
and streaming structure. it can apply constraints such as non-negativity and
different kinds of sparsity to the data. SimTensor also provides this facility
to simulate different kinds of change-points and inject various types of
anomalies. The source code and binary versions of SimTensor is available for
download in http://www.simtensor.org.


title:
A qualitative quantum rate model for hydrogen transfer in soybean
  lipoxygenase

abstract:
  The hydrogen transfer reaction catalysed by soybean lipoxygenase (SLO) has
been the focus of intense study following observations of a high kinetic
isotope effect (KIE). Today high KIEs are generally thought to indicate
departure from classical rate theory and are seen as a strong signature of
tunnelling of the transferring particle, hydrogen or one of its isotopes,
through the reaction energy barrier. In this paper we build a qualitative
quantum rate model with few free parameters that describes the dynamics of the
transferring particle when it is exposed to energetic potentials exerted by the
donor and the acceptor. The enzyme's impact on the dynamics is modelled by an
additional energetic term, an oscillatory contribution known as "gating". By
varying two key parameters, the gating frequency and the mean donor-acceptor
separation, the model is able to reproduce well the KIE data for SLO wild-type
and a variety of SLO mutants over the experimentally accessible temperature
range. While SLO-specific constants have been considered here, it is possible
to adapt these for other enzymes.


title:
Root sets of polynomials and power series with finite choices of
  coefficients

abstract:
  Given $H\subseteq \mathbb{C}$ two natural objects to study are the set of
zeros of polynomials with coefficients in $H$, $$\{z\in \mathbb{C}: \exists
k>0,\, \exists (a_n)\in H^{k+1}, \sum_{n=0}^{k}a_{n}z^n=0\},$$ and the set of
zeros of power series with coefficients in $H$, $$\{z\in\mathbb{C}: \exists
(a_n)\in H^{\mathbb{N}}, \sum_{n=0}^{\infty} a_nz^n=0\}.$$ In this paper we
consider the case where each element of $H$ has modulus $1$. The main result of
this paper states that for any $r\in(1/2,1),$ if $H$ is
$2\cos^{-1}(\frac{5-4|r|^2}{4})$-dense in $S^1,$ then the set of zeros of
polynomials with coefficients in $H$ is dense in $\{z\in \mathbb{C}: |z|\in
[r,r^{-1}]\},$ and the set of zeros of power series with coefficients in $H$
contains the annulus $\{z\in \mathbb{C}: |z|\in[r,1)\}$. These two statements
demonstrate quantitatively how the set of polynomial zeros/power series zeros
fill out the natural annulus containing them as $H$ becomes progessively more
dense.


title: Angular equivalence of normed spaces

abstract:
  Angular equivalence is introduced and shown to be an equivalence relation
among the norms on a fixed real vector space. It is a finer notion than the
usual (topological) notion of norm equivalence. Angularly equivalent norms
share certain geometric properties: A norm that is angularly equivalent to a
uniformly convex norm is itself uniformly convex. The same is true for strict
convexity. Extreme points of the unit balls of angularly equivalent norms occur
on the same rays, and if one unit ball is a polyhedron so is the other.
  Among norms arising from inner products, two norms are angularly equivalent
if and only if they are topological equivalent. But, unlike topological
equivalence, angular equivalence is able to distinguish between different norms
on a finite-dimensional space. In particular, no two $\ell^p$ norms on $\mathbb
R^n$ are angularly equivalent.