title:
Theoretical Study of Lithium Ionic Conductors by Electronic Stress
  Tensor Density and Electronic Kinetic Energy Density

abstract:
  We analyze the electronic structure of lithium ionic conductors, ${\rm
Li_3PO_4}$ and ${\rm Li_3PS_4}$, using the electronic stress tensor density and
kinetic energy density with special focus on the ionic bonds among them. We
find that, as long as we examine the pattern of the eigenvalues of the
electronic stress tensor density, we cannot distinguish between the ionic bonds
and bonds among metalloid atoms. We then show that they can be distinguished by
looking at the morphology of the electronic interface, the zero surface of the
electronic kinetic energy density.


title:
Path integral polymer propagator of relativistic and non-relativistic
  particles

abstract:
  A recent proposal to connect the loop quantization with the spin foam model
for cosmology via the path integral is hereby adapted to the case of mechanical
systems within the framework of the so called polymer quantum mechanics. The
mechanical models we consider are deparametrized and thus the group averaging
technique is used to deal with the corresponding constraints. The transition
amplitudes are written in a vertex expansion form used in the spin foam models,
where here a vertex is actually a jump in position. Polymer propagators
previously obtained by spectral methods for a nonrelativistic polymer particle,
both free and in a box, are regained with this method and as a new result we
obtain the polymer propagator of the relativistic particle. All of them reduce
to their standard form in the continuum limit for which the length scale
parameter of the polymer quantization is taken to be small. Our results are
robust thanks to their analytic and exact character which in turn come from the
fact that presented models are solvable. They lend support to the vertex
expansion scheme of the polymer path integral explored before in a formal way
for cosmological models. Some possible future developments are commented upon
in the discussion.


title: X-ray and optical spectroscopy of the massive young open cluster IC1805

abstract:
  Very young open clusters are ideal places to study the X-ray properties of a
homogeneous population of early-type stars. In this respect, the IC1805 open
cluster is very interesting as it hosts the O4If$^+$ star HD15570 thought to be
in an evolutionary stage intermediate between a normal O-star and a Wolf-Rayet
star. Such a star could provide a test for theoretical models aiming at
explaining the empirical scaling relation between the X-ray and bolometric
luminosities of O-type stars. We have observed IC1805 with XMM-Newton and
further collected optical spectroscopy of some of the O-star members of the
cluster. The optical spectra allow us to revisit the orbital solutions of
BD+60$^{\circ}$ 497 and HD15558, and provide the first evidence of binarity for
BD+60$^{\circ}$ 498. X-ray emission from colliding winds does not appear to
play an important role among the O-stars of IC1805. Notably, the X-ray fluxes
do not vary significantly between archival X-ray observations and our
XMM-Newton pointing. The very fast rotator BD+60$^{\circ}$ 513, and to a lesser
extent the O4If$^+$ star HD15570 appear somewhat underluminous. Whilst the
underluminosity of HD15570 is only marginally significant, its amplitude is
found to be compatible with theoretical expectations based on its stellar and
wind properties. A number of other X-ray sources are detected in the field, and
the brightest objects, many of which are likely low-mass pre-main sequence
stars, are analyzed in detail.


title: Recent results from the Belle experiment

abstract:
  We review recent results obtained using the data recorded with the Belle
detector at the KEKB asymmetric-energy e+ e- collider in KEK, Japan.


title:
Abelian subgroups of the mapping class groups for non-orientable
  surfaces

abstract:
  Birman-Lubotzky-McCarthy proved that any abelian subgroup of the mapping
class groups for orientable surfaces is finitely generated. We apply
Birman-Lubotzky-McCarthy's arguments to the mapping class groups for
non-orientable surfaces. We especially find a finitely generated group
isomorphic to a given torsion-free subgroup of the mapping class groups.


title:
Irreducible projective representations of the symmetric group which
  remain irreducible in characteristic $2$

abstract:
  For any finite group $G$ and any prime $p$ one can ask which ordinary
irreducible representations remain irreducible in characteristic $p$. We answer
this question for $p=2$ when $G$ is a proper double cover of the symmetric
group. Our techniques involve constructing part of the decomposition matrix for
a Rouquier block of a double cover, restricting to subgroups using the
Brundan--Kleshchev modular branching rules and comparing the dimensions of
irreducible representations via the bar-length formula.


title:
Robust mislabel logistic regression without modeling mislabel
  probabilities

abstract:
  Logistic regression is among the most widely used statistical methods for
linear discriminant analysis. In many applications, we only observe possibly
mislabeled responses. Fitting a conventional logistic regression can then lead
to biased estimation. One common resolution is to fit a mislabel logistic
regression model, which takes into consideration of mislabeled responses.
Another common method is to adopt a robust M-estimation by down-weighting
suspected instances. In this work, we propose a new robust mislabel logistic
regression based on gamma-divergence. Our proposal possesses two advantageous
features: (1) It does not need to model the mislabel probabilities. (2) The
minimum gamma-divergence estimation leads to a weighted estimating equation
without the need to subtract any bias correction term, i.e., it is
automatically bias corrected. These properties make the proposed gamma-logistic
regression more robust in model fitting and more intuitive for model
interpretation through a simple weighting scheme. Our method is also easy to
implement, and two types of algorithms are included. Simulation and real data
application results are presented to demonstrate the performance of
gamma-logistic.


title:
Separating Nightside Interplanetary and Ionospheric Scintillation with
  LOFAR

abstract:
  Observation of interplanetary scintillation (IPS) beyond Earth-orbit can be
challenging due to the necessity to use low radio frequencies at which
scintillation due to the ionosphere could confuse the interplanetary
contribution. A recent paper by Kaplan {\it et al} (2015) presenting
observations using the Murchison Widefield Array (MWA) reports evidence of
night-side IPS on two radio sources within their field of view. However, the
low time cadence of 2\,s used might be expected to average out the IPS signal,
resulting in the reasonable assumption that the scintillation is more likely to
be ionospheric in origin. To verify or otherwise this assumption, this letter
uses observations of IPS taken at a high time cadence using the Low Frequency
Array (LOFAR). Averaging these to the same as the MWA observations, we
demonstrate that the MWA result is consistent with IPS, although some
contribution from the ionosphere cannot be ruled out. These LOFAR observations
represent the first of night-side IPS using LOFAR, with solar wind speeds
consistent with a slow solar wind stream in one observation and a CME expecting
to be observed in another.


title: Ground State Properties of Neutron Magic Nuclei

abstract:
  A systematic study of the ground state properties of the entire chains of
even even neutron magic nuclei represented by isotones of traditional neutron
magic numbers N = 8, 20, 40, 50, 82 and 126 has been carried out using
relativistic mean field (rmf) plus Bardeen Cooper Schrieffer (BCS) approach.
Our present investigation includes deformation, binding energy, two proton
separation energy, single particle energy, rms radii along with proton and
neutron density profiles, etc. Several of these results are compared with the
results calculated using non relativistic approach (Skyrme Hartree Fock method)
along with available experimental data and indeed they are found with excellent
agreement. In addition, the possible locations of the proton and neutron drip
lines, the (Z,N) values for the new shell closures, disappearance of
traditional shell closures as suggested by the detailed analyzes of results are
also discussed in detail.


title: Time-scale effects on the gain-loss asymmetry in stock indices

abstract:
  The gain-loss asymmetry, observed in the inverse statistics of stock indices
is present for logarithmic return levels that are over $2\%$, and it is the
result of the non-Pearson type auto-correlations in the index. These
non-Pearson type correlations can be viewed also as functionally dependent
daily volatilities, extending for a finite time interval. A generalized
time-window shuffling method is used to show the existence of such
auto-correlations. Their characteristic time-scale proves to be smaller (less
than $25$ trading days) than what was previously believed. It is also found
that this characteristic time-scale has decreased with the appearance of
program trading in the stock market transactions. Connections with the leverage
effect are also established.


title:
Estimation of the parameters of the Ornstein-Uhlenbeck's stochastic
  process

abstract:
  It is considered Ornstein-Uhlenbeck process $ x_t = x_0 e^{-\theta t} + \mu
(1-e^{-\theta t}) + \sigma \int_0^t e^{-\theta (t-s)} dW_s$, where $x_0 \in R$,
$\theta>0$, $ \mu \in R$ and $\sigma > 0$ are parameters. By use values
$(z_k)_{k \in N}$ of corresponding trajectories at a fixed positive moment $t$,
a consistent estimate of each unknown parameter of the Ornstein-Uhlenbeck's
stochastic process is constructed under assumption that all another parameters
are known.


title:
Separation between quantum Lov\'asz number and entanglement-assisted
  zero-error classical capacity

abstract:
  Quantum Lov\'asz number is a quantum generalization of the Lov\'asz number in
graph theory. It is the best known efficiently computable upper bound of the
entanglement-assisted zero-error classical capacity of a quantum channel.
However, it remains an intriguing open problem whether quantum entanglement can
always enhance the zero-error capacity to achieve the quantum Lov\'asz number.
In this paper, by constructing a particular class of qutrit-to-qutrit channels,
we show that there exists a strict gap between the entanglement-assisted
zero-error capacity and the quantum Lov\'asz number. Interestingly, for this
class of quantum channels, the quantum generalization of fractional packing
number is strictly larger than the zero-error capacity assisted with feedback
or no-signalling correlations, which differs from the case of classical
channels.


title:
Unconstrained Two-parallel-plane Model for Focused Plenoptic Cameras
  Calibration

abstract:
  The plenoptic camera can capture both angular and spatial information of the
rays, enabling 3D reconstruction by single exposure. The geometry of the
recovered scene structure is affected by the calibration of the plenoptic
camera significantly. In this paper, we propose a novel unconstrained
two-parallel-plane (TPP) model with 7 parameters to describe a 4D light field.
By reconstructing scene points from ray-ray association, a 3D projective
transformation is deduced to establish the relationship between the scene
structure and the TPP parameters. Based on the transformation, we simplify the
focused plenoptic camera as a TPP model and calibrate its intrinsic parameters.
Our calibration method includes a close-form solution and a nonlinear
optimization by minimizing re-projection error. Experiments on both simulated
data and real scene data verify the performance of the calibration on the
focused plenoptic camera.


title: Unveiling the Dynamic Infrared Sky with Gattini-IR

abstract:
  While optical and radio transient surveys have enjoyed a renaissance over the
past decade, the dynamic infrared sky remains virtually unexplored. The
infrared is a powerful tool for probing transient events in dusty regions that
have high optical extinction, and for detecting the coolest of stars that are
bright only at these wavelengths. The fundamental roadblocks in studying the
infrared time-domain have been the overwhelmingly bright sky background (250
times brighter than optical) and the narrow field-of-view of infrared cameras
(largest is 0.6 sq deg). To begin to address these challenges and open a new
observational window in the infrared, we present Palomar Gattini-IR: a 25 sq
degree, 300mm aperture, infrared telescope at Palomar Observatory that surveys
the entire accessible sky (20,000 sq deg) to a depth of 16.4 AB mag (J band,
1.25um) every night. Palomar Gattini-IR is wider in area than every existing
infrared camera by more than a factor of 40 and is able to survey large areas
of sky multiple times. We anticipate the potential for otherwise infeasible
discoveries, including, for example, the elusive electromagnetic counterparts
to gravitational wave detections. With dedicated hardware in hand, and a F/1.44
telescope available commercially and cost-effectively, Palomar Gattini-IR will
be on-sky in early 2017 and will survey the entire accessible sky every night
for two years. Palomar Gattini-IR will pave the way for a dual hemisphere,
infrared-optimized, ultra-wide field high cadence machine called Turbo
Gattini-IR. To take advantage of the low sky background at 2.5 um, two
identical systems will be located at the polar sites of the South Pole,
Antarctica and near Eureka on Ellesmere Island, Canada. Turbo Gattini-IR will
survey 15,000 sq. degrees to a depth of 20AB, the same depth of the VISTA VHS
survey, every 2 hours with a survey efficiency of 97%.


title:
AntPaP: Patrolling and Fair Partitioning of Graphs by A(ge)nts Leaving
  Pheromone Traces

abstract:
  A team of identical and oblivious ant-like agents - a(ge)nts - leaving
pheromone traces, are programmed to jointly patrol an area modeled as a graph.
They perform this task using simple local interactions, while also achieving
the important byproduct of partitioning the graph into roughly equal-sized
disjoint sub-graphs. Each a(ge)nt begins to operate at an arbitrary initial
location, and throughout its work does not acquire any information on either
the shape or size of the graph, or the number or whereabouts of other a(ge)nts.
Graph partitioning occurs spontaneously, as each of the a(ge)nts patrols and
expands its own pheromone-marked sub-graph, or region. This graph partitioning
algorithm is inspired by molecules hitting the borders of air filled elastic
balloons: an a(ge)nt that hits a border edge from the interior of its region
more frequently than an external a(ge)nt hits the same edge from an adjacent
vertex in the neighboring region, may conquer that adjacent vertex, expanding
its region at the expense of the neighbor. Since the rule of patrolling a
region ensures that each vertex is visited with a frequency inversely
proportional to the size of the region, in terms of vertex count, a smaller
region will effectively exert higher "pressure" at its borders, and conquer
adjacent vertices from a larger region, thereby increasing the smaller region
and shrinking the larger. The algorithm, therefore, tends to equalize the sizes
of the regions patrolled, resembling a set of perfectly elastic physical
balloons, confined to a closed volume and filled with an equal amount of air.
The pheromone based local interactions of agents eventually cause the system to
evolve into a partition that is close to balanced rather quickly, and if the
graph and the number of a(ge)nts remain unchanged, it is guaranteed that the
system settles into a stable and balanced partition.


title: Inverse Sturm-Liouville problems with fixed boundary conditions

abstract:
  Necessary and sufficient conditions for two sequences
$\{\mu_n\}_{n=0}^\infty$ and $\{ a_n\}_{n=0}^\infty$ to be the spectral data
for a certain Sturm-Liouville problem are well known. We add two more
conditions so that the same two sequences become necessary and sufficient for
being the spectral data for a Sturm-Liouville problem with fixed boundary
conditions.


title: Asymptotics of orthogonal polynomials and the Painlev\'e transcendents

abstract:
  In this survey, we review asymptotic results of some orthogonal polynomials
which are relate to the Painlev\'e transcendents. They are obtained by applying
Deift-Zhou's nonlinear steepest descent method for Riemann-Hilbert problems. In
the last part of this article, we list several open problems.


title: Sumino's Cancellation Mechanism in an Anomaly-Free Model

abstract:
  An interesting family gauge boson (FGB) model (Model A) has been proposed by
Sumino. The model can give FGBs with a considerably low energy scale in spite
of the sever constraints form the observed $K^0$-$\bar{K}^0$ mixing and so on.
An essential idea in Model A is in the so-called Sumino cancellation mechanism
between QED and FGB diagrams. However, Model A is not anomaly free and,
besides, it causes effective interactions with $\Delta N_{\rm family}=2$. In
order to avoid these problems, a revised Sumino model with an inverted mass
hierarchy (Model B) has proposed, but, in this time, it cannot satisfy the
Sumino cancellation mechanism exactly. In this paper, we propose a revised
version of Model B, where the model still keeps anomaly free, but it can
exactly satisfy the Sumino mechanism. An effect of the revised model will be
confirmed by observations $K^+ \rightarrow \pi^+ e^- \mu^+$ and $\mu^-
N\rightarrow e^- N$.


title: Electric dipole polarizabilities of Rydberg states of alkali atoms

abstract:
  Calculations of the static electric-dipole scalar and tensor polarizabilities
are presented for two alkali atoms, Rb and Cs, for the $nS$, $nP_{1/2, 3/2}$,
and $nD_{3/2, 5/2}$ states with large principal quantum numbers up to $n = 50$.
The calculations are performed within an effective one-electron approximation,
based on the Dirac-Fock Hamiltonian with a semi-empirical core-polarization
potential. The obtained results are compared with those from a simpler
semi-empirical approach and with available experimental data.


title: Regular Finite Decomposition Complexity

abstract:
  We introduce the notion of regular finite decomposition complexity of a
metric family. This generalizes Gromov's finite asymptotic dimension and is
motivated by the concept of finite decomposition complexity (FDC) due to
Guentner, Tessera and Yu. Regular finite decomposition complexity implies FDC
and has all the permanence properties that are known for FDC, as well as a new
one called Finite Quotient Permanence. We show that for a collection containing
all metric families with finite asymptotic dimension all other permanence
properties follow from Fibering Permanence.


title: A Comparative Study for the Nuclear Norms Minimization Methods

abstract:
  The nuclear norm minimization (NNM) is commonly used to approximate the
matrix rank by shrinking all singular values equally. However, the singular
values have clear physical meanings in many practical problems, and NNM may not
be able to faithfully approximate the matrix rank. To alleviate the
above-mentioned limitation of NNM, recent studies have suggested that the
weighted nuclear norm minimization (WNNM) can achieve a better rank estimation
than NNM, which heuristically set the weight being inverse to the singular
values. However, it still lacks a rigorous explanation why WNNM is more
effective than NMM in various applications. In this paper, we analyze NNM and
WNNM from the perspective of group sparse representation (GSR). Concretely, an
adaptive dictionary learning method is devised to connect the rank minimization
and GSR models. Based on the proposed dictionary, we prove that NNM and WNNM
are equivalent to L1-norm minimization and the weighted L1-norm minimization in
GSR, respectively. Inspired by enhancing sparsity of the weighted L1-norm
minimization in comparison with L1-norm minimization in sparse representation,
we thus explain that WNNM is more effective than NMM. By integrating the image
nonlocal self-similarity (NSS) prior with the WNNM model, we then apply it to
solve the image denoising problem. Experimental results demonstrate that WNNM
is more effective than NNM and outperforms several state-of-the-art methods in
both objective and perceptual quality.


title: Local electroexfoliation of graphene with a STM tip

abstract:
  Graphite surfaces can be manipulated by several methods to create graphene
structures of different shapes and sizes. Scanning tunneling microscopy (STM)
can be used to create these structures either through mechanical contact
between the tip and the surface or through electro-exfoliation. In the latter,
the mechanisms involved in the process of exfoliation with an applied voltage
are not fully understood. Here we show how a graphite surface can be locally
exfoliated in a systematic manner by applying an electrostatic force with a STM
tip at the edge of a terrace, forming triangular flakes several nanometers in
length. We demonstrate, through experiments and simulations, how these flakes
are created by a two-step process: first a voltage ramp must be applied at the
edge of the terrace, and then the tip must be scanned perpendicularly to the
edge. Ab-initio electrostatic calculations reveal that the presence of charges
on the graphite surface weakens the interaction between layers allowing for
exfoliation at voltages in the same range as those used experimentally.
Molecular dynamics simulations show that a force applied locally on the edge of
a step produces triangular flakes such as those observed under STM. Our results
provide new insights towards surface modification that can be extended to other
layered materials.


title: The Topology of the Cosmic Web in Terms of Persistent Betti Numbers

abstract:
  We introduce a multiscale topological description of the Megaparsec weblike
cosmic matter distribution. Betti numbers and topological persistence offer a
powerful means of describing the rich connectivity structure of the cosmic web
and of its multiscale arrangement of matter and galaxies. Emanating from
algebraic topology and Morse theory, Betti numbers and persistence diagrams
represent an extension and deepening of the cosmologically familiar topological
genus measure, and the related geometric Minkowski functionals. In addition to
a description of the mathematical background, this study presents the
computational procedure for computing Betti numbers and persistence diagrams
for density field filtrations. The field may be computed starting from a
discrete spatial distribution of galaxies or simulation particles. The main
emphasis of this study concerns an extensive and systematic exploration of the
imprint of different weblike morphologies and different levels of multiscale
clustering in the corresponding computed Betti numbers and persistence
diagrams. To this end, we use Voronoi clustering models as templates for a rich
variety of weblike configurations, and the fractal-like Soneira-Peebles models
exemplify a range of multiscale configurations. We have identified the clear
imprint of cluster nodes, filaments, walls, and voids in persistence diagrams,
along with that of the nested hierarchy of structures in multiscale point
distributions. We conclude by outlining the potential of persistent topology
for understanding the connectivity structure of the cosmic web, in large
simulations of cosmic structure formation and in the challenging context of the
observed galaxy distribution in large galaxy surveys.


title: Minimalistic analytical approach to non-Markovian open quantum systems

abstract:
  The dynamics of finite dimension open quantum systems is studied with the
help of the simplest possible form of projection operators, namely the ones
which project only onto one dimensional subspaces. The simplicity of the action
of the projection operators always leads to an analytical solution of the
dynamical master equation, even in the non-Markovian case, in any perturbative
order. The analytical solution correctly reproduces the short-time dynamics,
and can be used to recursively recover the dynamics for an arbitrary time
interval with arbitrary precision. The necessary number of relevant degrees of
freedom to completely characterise an open quantum system is $(n-1)(n+2)/2,$
where $n$ is the dimension of the Hilbert space of the open system. The method
is illustrated by two examples, the relaxation of a qubit in a thermal bath and
the dynamics of two interacting qubits in a common environment.


title: MeqSilhouette : A mm-VLBI observation and signal corruption simulator

abstract:
  The Event Horizon Telescope (EHT) aims to spatially resolve the silhouette
(or shadow) of the supermassive black holes in the Galactic Centre (Sgr
A$^\star$) and M87. The primary scientific objectives are to test general
relativity in the strong-field regime and to probe accretion and jet-launch
physics at event-horizon scales. This is made possible by the technique of Very
Long Baseline Interferometry (VLBI) at (sub)millimetre wavelengths, which can
achieve angular resolutions of order $\sim10~\mu$-arcsec. However, this
approach suffers from unique observational challenges, including scattering in
the troposphere and interstellar medium; rapidly time-variable source structure
in both polarized and total intensity; as well as non-negligible antenna
pointing errors. In this, the first paper in a series, we present the
MeqSilhouette software package which is specifically designed to accurately
simulate EHT observations. It includes realistic descriptions of a number of
signal corruptions that can limit the ability to measure the key science
parameters. This can be used to quantify calibration requirements, test
parameter estimation and imaging strategies, and investigate systematic
uncertainties that may be present. In doing so, a stronger link can be made
between observational capabilities and theoretical predictions, with the goal
of maximising scientific output from the upcoming order of magnitude increase
in EHT sensitivity.


title:
Maximizing and Minimizing Investment Concentration with Constraints of
  Budget and Investment Risk

abstract:
  In this paper, as a first step in examining the properties of a feasible
portfolio subset that is characterized by budget and risk constraints, we
assess the maximum and minimum of the investment concentration using replica
analysis. To do this, we apply an analytical approach of statistical mechanics.
We note that the optimization problem considered in this paper is the dual
problem of the portfolio optimization problem discussed in the literature, and
we verify that these optimal solutions are also dual. We also present numerical
experiments, in which we use the method of steepest descent that is based on
Lagrange's method of undetermined multipliers, and we compare the numerical
results to those obtained by replica analysis in order to assess the
effectiveness of our proposed approach.


title:
Effect of edge vacancies on localized states in semi-infinite zigzag
  graphene sheet

abstract:
  The effect of vacancies on the robustness of zero-energy edge electronic
states in zigzag-type graphene layer is studied at different concentrations and
distributions of defects. All calculations are performed by using the Green's
function method and the tight-binding approximation. It is found that the
arrangement of defects plays a crucial role in the destruction of the edge
states. We have specified a critical distance between edge vacancies when their
mutual influence becomes significant and affects markedly the density of
electronic states at graphene edge.


title: Phase Sensitive Amplifier Based on Ultrashort Pump Pulses

abstract:
  We demonstrate a narrow band phase sensitive amplifier in the pump degenerate
configuration which employs ps pump pulses. Control of the amplifier bandwidth
is achieved via changes of the pump spectral width. A phase sensitive gain
between -6 and 6 decibels, with an overall system gain of 28dB was
demonstrated.


title: Blow up of conductors

abstract:
  We generalize results of P.M.H. Wilson describing situations where the blow
up of the conductor ideal of a scheme coincides with the normalization.


title: VIALACTEA knowledge base homogenizing access to Milky Way data

abstract:
  The VIALACTEA project has a work package dedicated to Tools and
Infrastructure and, inside it, a task for the Database and Virtual Observatory
Infrastructure. This task aims at providing an infrastructure to store all the
resources needed by the, more purposely, scientific work packages of the
project itself. This infrastructure includes a combination of: storage
facilities, relational databases and web services on top of them, and has
taken, as a whole, the name of VIALACTEA Knowledge Base (VLKB). This
contribution illustrates the current status of this VLKB. It details the set of
data resources put together; describes the database that allows data discovery
through VO inspired metadata maintenance; illustrates the discovery, cutout and
access services built on top of the former two for the users to exploit the
data content.


title:
Fabrication of mirror templates in silica with micron-sized radii of
  curvature

abstract:
  We present the fabrication of exceptionally small-radius concave microoptics
on fused silica substrates using CO2 laser ablation and subsequent reactive ion
etching. The protocol yields on-axis near-Gaussian depressions with radius of
curvature $\lesssim5$ microns at shallow depth and low surface roughness of 2
angstroms. This geometry is appealing for cavity quantum electrodynamics where
small mode volumes and low scattering losses are desired. We study the optical
performance of the structure within a tunable Fabry-Perot type microcavity,
demonstrate near-coating-limited loss rates (F = 25,000) and small focal
lengths consistent with their geometrical dimensions.


title:
Time-Asynchronous Robust Cooperative Transmission for the Downlink of
  C-RAN

abstract:
  This work studies the robust design of downlink precoding for cloud radio
access network (C-RAN) in the presence of asynchronism among remote radio heads
(RRHs). Specifically, a C-RAN downlink system is considered in which non-ideal
fronthaul links connecting two RRHs to a Baseband Unit (BBU) may cause a time
offset, as well as a phase offset, between the transmissions of the two RRHs.
The offsets are a priori not known to the BBU. With the aim of counteracting
the unknown time offset, a robust precoding scheme is considered that is based
on the idea of correlating the signal transmitted by one RRH with a number of
delayed versions of the signal transmitted by the other RRH. For this
transmission strategy, the problem of maximizing the worst-case minimum rate is
tackled while satisfying per-RRH transmit power constraints. Numerical results
are reported that verify the advantages of the proposed robust scheme as
compared to conventional non-robust design criteria as well as non-cooperative
transmission.


title:
A Proposal for the Measurement and Documentation of Research Software
  Sustainability in Interactive Metadata Repositories

abstract:
  This paper proposes an interactive repository type for research software
metadata which measures and documents software sustainability by accumulating
metadata, and computing sustainability metrics over them. Such a repository
would help to overcome technical barriers to software sustainability by
furthering the discovery and identification of sustainable software, thereby
also facilitating documentation of research software within the framework of
software management plans.


title: Coxeter-Catalan combinatorics and Temperley-Lieb algebras

abstract:
  We introduce bijections between generalized type $A_n$ noncrossing partitions
(that is, associated to arbitrary standard Coxeter elements) and fully
commutative elements of the same type. The latter index the diagram basis of
the classical Temperley-Lieb algebra, while for each choice of standard Coxeter
element the corresponding noncrossing partitions also index a basis, given by
the images in the Temperley-Lieb algebra of the simple elements of the dual
Garside structure (associated to this choice of standard Coxeter element) of
the Artin braid group on $n+1$ strands. We then show that our bijections come
from triangular base changes between the diagram basis and the various bases
indexed by noncrossing partitions, by explicitly describing the orders giving
triangularity. These orders were introduced in a joint paper with Williams and
provide exotic lattice structures on noncrossing partitions. Several
combinatorial objects are introduced along the way, including an involution on
the set of noncrossing partitions.


title:
Finite-size scaling effect on N\'eel temperature of antiferromagnetic
  Cr$_2$O$_3$-(0001) films in an exchange-coupled heterostructure

abstract:
  The scaling of antiferromagnetic ordering temperature of corundum-type
chromia films have been investigated. N\'eel temperature $T_N$ was determined
from the effect of perpendicular exchange-bias on the magnetization of a
weakly-coupled adjacent ferromagnet. For a thick-film case, the validity of
detection is confirmed by a susceptibility measurement. Detection of $T_N$ was
possible down to 1-nm-thin chromia films. The scaling of ordering temperature
with thickness was studied using different buffering materials, and compared
with Monte-Carlo simulations. The spin-correlation length and the corresponding
critical exponent were estimated, and they were consistent between experimental
and simulation results. The spin-correlation length is an order of magnitude
less than cubic antiferromagnets. We propose that the difference is from the
change of number of exchange-coupling links in the two crystal systems.


title:
Superconductivity emerging from an electronic phase separation in the
  charge ordered phase of RbFe$_2$As$_2$

abstract:
  $^{75}$As, $^{87}$Rb and $^{85}$Rb nuclear quadrupole resonance (NQR) and
$^{87}$Rb nuclear magnetic resonance (NMR) measurements in RbFe$_2$As$_2$
iron-based superconductor are presented. We observe a marked broadening of
$^{75}$As NQR spectrum below $T_0\simeq 140$ K which is associated with the
onset of a charge order in the FeAs planes. Below $T_0$ we observe a power-law
decrease in $^{75}$As nuclear spin-lattice relaxation rate down to $T^*\simeq
20$ K. Below that temperature the nuclei start to probe different dynamics
owing to the different local electronic configurations induced by the charge
order. A fraction of the nuclei probes spin dynamics associated with electrons
approaching a localization while another fraction probes activated dynamics
possibly associated with a pseudogap. These different trends are discussed in
the light of an orbital selective behaviour expected for the electronic
correlations.


title:
Improving link prediction in complex networks by adaptively exploiting
  multiple structural features of networks

abstract:
  So far, many network-structure-based link prediction methods have been
proposed. However, these methods only highlight one or two structural features
of networks, and then use the methods to predict missing links in different
networks. The performances of these existing methods are not always satisfied
in all cases since each network has its unique underlying structural features.
In this paper, by analyzing different real networks, we find that the
structural features of different networks are remarkably different. In
particular, even in the same network, their inner structural features are
utterly different. Therefore, more structural features should be considered.
However, owing to the remarkably different structural features, the
contributions of different features are hard to be given in advance. Inspired
by these facts, an \emph{adaptive} fusion model regarding link prediction is
proposed to incorporate multiple structural features. In the model, a logistic
function combing multiple structural features is defined, then the weight of
each feature in the logistic function is \emph{adaptively} determined by
exploiting the known structure information. Last, we use the "learnt" logistic
function to predict the connection probabilities of missing links. According to
our experimental results, we find that the performance of our adaptive fusion
model is better than many similarity indices.


title:
Multiple standing waves for the nonlinear Helmholtz equation
  concentrating in the high frequency limit

abstract:
  This paper studies for large frequency number $k>0$ the existence and
multiplicity of solutions of the semilinear problem $$ -\Delta u -k^2
u=Q(x)|u|^{p-2}u\quad\text{ in }\mathbb{R}^N, \quad N\geq 2. $$ The exponent
$p$ is subcritical and the coefficient $Q$ is continuous, nonnegative and
satisfies the condition $$
\limsup_{|x|\to\infty}Q(x)<\sup_{x\in\mathbb{R}^N}Q(x). $$ In the limit
$k\to\infty$, sequences of solutions associated to ground states of a dual
equation are shown to concentrate, after rescaling, at global maximum points of
the function $Q$.


title: Optimization of Bootstrapping in Circuits

abstract:
  In 2009, Gentry proposed the first Fully Homomorphic Encryption (FHE) scheme,
an extremely powerful cryptographic primitive that enables to perform
computations, i.e., to evaluate circuits, on encrypted data without decrypting
them first. This has many applications, in particular in cloud computing.
  In all currently known FHE schemes, encryptions are associated to some
(non-negative integer) noise level, and at each evaluation of an AND gate, the
noise level increases. This is problematic because decryption can only work if
the noise level stays below some maximum level $L$ at every gate of the
circuit. To ensure that property, it is possible to perform an operation called
\emph{bootstrapping} to reduce the noise level. However, bootstrapping is
time-consuming and has been identified as a critical operation. This motivates
a new problem in discrete optimization, that of choosing where in the circuit
to perform bootstrapping operations so as to control the noise level; the goal
is to minimize the number of bootstrappings in circuits.
  In this paper, we formally define the \emph{bootstrap problem}, we design a
polynomial-time $L$-approximation algorithm using a novel method of rounding of
a linear program, and we show a matching hardness result:
$(L-\epsilon)$-inapproximability for any $\epsilon>0$.


title: Topological, Valleytronic, and Optical Properties of Monolayer PbS

abstract:
  We systematically examine the topological, valleytronic, and optical
properties of experimentally accessible PbS (001) few-layers, with a focus on
the monolayer. With even-odd layer-dependent oscillations and without band
inversions, the band gaps cover a wide spectrum from infrared to visible,
making the few-layers promising for optoelectronics. Intriguingly, the uniaxial
(biaxial) compressive strain can tune the trivial monolayer into a
$\mathcal{Z}_2$-topological (topological crystalline) insulator, which may be
utilized for controllable low-power electronic devices. Although elliptical
dichroism vanishes in the monolayer due to inversion symmetry, optical pumping
provides an efficient tool to characterize the three phases and to realize
charge, spin, and valley Hall effects in optoelectronic transport that are
tunable by external strain and light ellipticity.


title:
Timing in the Presence of Directional Predictability: Optimal Stopping
  of Skew Brownian Motion

abstract:
  We investigate a class of optimal stopping problems arising in, for example,
studies considering the timing of an irreversible investment when the
underlying follows a skew Brownian motion. Our results indicate that the local
directional predictability modeled by the presence of a skew point for the
underlying has a nontrivial and somewhat surprising impact on the timing
incentives of the decision maker. We prove that waiting is always optimal at
the skew point for a large class of exercise payoffs. An interesting
consequence of this finding, which is in sharp contrast with studies relying on
ordinary Brownian motion, is that the exercise region for the problem can
become unconnected even when the payoff is linear. We also establish that
higher skewness increases the incentives to wait and postpones the optimal
timing of an investment opportunity. Our general results are explicitly
illustrated for a piecewise linear payoff.


title: Closed inverse subsemigroups of graph inverse semigroups

abstract:
  As part of his study of representations of the polycylic monoids, M.V. Lawson
described all the closed inverse submonoids of a polycyclic monoid $P_n$ and
classified them up to conjugacy. We show that Lawson's description can be
extended to closed inverse subsemigroups of graph inverse semigroups. We then
apply B. Schein's theory of cosets in inverse semigroups to the closed inverse
subsemigroups of graph inverse semigroups: we give necessary and sufficient
conditions for a closed inverse subsemigroup of a graph inverse semigroup to
have finite index, and determine the value of the index when it is finite.


title:
Light Cone Distribution Amplitudes of Excited P-Wave Heavy Quarkonia at
  the Leading Twist

abstract:
  Leading twist light cone distribution amplitudes (LCDAs) are key ingredients
in calculating various hadronic amplitudes using light cone QCD sum rules. This
work concentrates on calculating the leading twist LCDAs of P-wave heavy
quarkonia. Quark model wavefunctions for the ground, first and second excited
states of P-wave charmonia and bottomonia have been calculated, and are used
for calculating the relevant LCDAs and leptonic decay constants.


title:
Dopamine modulation of prefrontal delay activity-reverberatory activity
  and sharpness of tuning curves

abstract:
  Recent electrophysiological experiments have shown that dopamine (D1)
modulation of pyramidal cells in prefrontal cortex reduces spike frequency
adaptation and enhances NMDA transmission. Using four models, from
multicompartmental to integrate and fire, we examine the effects of these
modulations on sustained (delay) activity in a reverberatory network. We find
that D1 modulation may enable robust network bistability yielding selective
reverberation among cells that code for a particular item or location. We
further show that the tuning curve of such cells is sharpened, and that
signal-to-noise ratio is increased. We postulate that D1 modulation affects the
tuning of "memory fields" and yield efficient distributed dynamic
representations.


title: Influence of gene copy number on self-regulated gene expression

abstract:
  Using an analytically solvable stochastic model, we study the properties of a
simple genetic circuit consisting of multiple copies of an self-regulating
gene. We analyse how the variation in gene copy number and the mutations
changing the auto-regulation strength affect the steady-state distribution of
protein concentration.
  We predict that one-reporter assay, an experimental method where the
extrinsic noise level is inferred from the comparison of expression variance of
a single and duplicated reporter gene, may give an incorrect estimation of the
extrinsic noise contribution when applied to self-regulating genes.
  We also show that an imperfect duplication of an auto-activated gene,
changing the regulation strength of one of the copies, may lead to a hybrid,
binary+graded response of these genes to external signal.
  The analysis of relative changes in mean gene expression before and after
duplication suggests that evolutionary accumulation of gene duplications may
non-trivially depend on the inherent noisiness of a given gene, quantified by
maximal mean frequency of bursts.
  Moreover, we find that the dependence of gene expression noise on gene copy
number and auto-regulation strength may qualitatively differ, e.g. in
monotonicity, depending on whether the noise is measured by Fano factor or
coefficient of variation. Thus, experimentally-based hypotheses linking gene
expression noise and evolutionary optimisation may be ambiguous as they are
dependent on the particular function chosen to quantify noise.


title: On blowing up the weighted projective plane

abstract:
  We investigate the blow-up of a weighted projective plane at a general point.
We provide criteria and algorithms for testing if the result is a Mori dream
surface and we compute the Cox ring in several cases. Moreover applications to
the study of $\overline{M}_{0,n}$ are discussed.


title: Reheating predictions in Gravity Theories with Derivative Coupling

abstract:
  We investigate the inflationary predictions of a simple Horndeski theory
where the inflaton scalar field has a non-minimal derivative coupling (NMDC) to
the Einstein tensor. The NMDC is very motivated for the construction of
successful models for inflation, nevertheless its inflationary predictions are
not observationally distinct. We show that it is possible to probe the effects
of the NMDC on the CMB observables by taking into account both the dynamics of
the inflationary slow-roll phase and the subsequent reheating. We perform a
comparative study between representative inflationary models with canonical
fields minimally coupled to gravity and models with NMDC. We find that the
inflation models with dominant NMDC generically predict a higher reheating
temperature and a different range for the tilt of the scalar perturbation
spectrum $n_s$ and scalar-to-tensor ratio $r$, potentially testable by current
and future CMB experiments.


title: Free Lunch for Optimisation under the Universal Distribution

abstract:
  Function optimisation is a major challenge in computer science. The No Free
Lunch theorems state that if all functions with the same histogram are assumed
to be equally probable then no algorithm outperforms any other in expectation.
We argue against the uniform assumption and suggest a universal prior exists
for which there is a free lunch, but where no particular class of functions is
favoured over another. We also prove upper and lower bounds on the size of the
free lunch.


title:
Constraining interacting dark energy models with latest cosmological
  observations

abstract:
  The local measurement of $H_0$ is in tension with the prediction of
$\Lambda$CDM model based on the Planck data. This tension may imply that dark
energy is strengthened in the late-time Universe. We employ the latest
cosmological observations on CMB, BAO, LSS, SNe, $H(z)$ and $H_0$ to constrain
several interacting dark energy models. Our results show no significant
indications for the interaction between dark energy and dark matter. The $H_0$
tension can be moderately alleviated, but not totally released.


title: Classical and Quantum Superintegrability of St\"ackel Systems

abstract:
  In this paper we discuss maximal superintegrability of both classical and
quantum St\"ackel systems. We prove a sufficient condition for a flat or
constant curvature St\"ackel system to be maximally superintegrable. Further,
we prove a sufficient condition for a St\"ackel transform to preserve maximal
superintegrability and we apply this condition to our class of St\"ackel
systems, which yields new maximally superintegrable systems as conformal
deformations of the original systems. Further, we demonstrate how to perform
the procedure of minimal quantization to considered systems in order to produce
quantum superintegrable and quantum separable systems.


title: Diophantine Approximations on Definable Sets

abstract:
  Consider the vanishing locus of a real analytic function on $\mathbb{R}^n$
restricted to $[0,1]^n$. We bound the number of rational points of bounded
height that approximate this set very well. Our result is formulated and proved
in the context of o-minimal structure which give a general framework to work
with sets mentioned above. It complements the theorem of Pila-Wilkie that
yields a bound of the same quality for the number of rational points of bounded
height that lie on a definable set. We focus our attention on polynomially
bounded o-minimal structures, allow algebraic points of bounded degree, and
provide an estimate that is uniform over some families of definable sets. We
apply these results to study fixed length sums of roots of unity that are small
in modulus.


title: Rapidly rotating neutron star progenitors

abstract:
  Rotating proto-neutron stars can be important sources of gravitational waves
to be searched for by present-day and future interferometric detectors. It was
demonstrated by Imshennik that in extreme cases the rapid rotation of a
collapsing stellar core may lead to fission and formation of a binary
proto-neutron star which subsequently merges due to gravitational wave
emission. In the present paper, we show that such dynamically unstable
collapsing stellar cores may be the product of a former merger process of two
stellar cores in a common envelope. We applied population synthesis
calculations to assess the expected fraction of such rapidly rotating stellar
cores which may lead to fission and formation of a pair of proto-neutron stars.
We have used the BSE population synthesis code supplemented with a new
treatment of stellar core rotation during the evolution via effective
core-envelope coupling, characterized by the coupling time, $\tau_c$. The
validity of this approach is checked by direct MESA calculations of the
evolution of a rotating 15 $M_\odot$ star. From comparison of the calculated
spin distribution of young neutron stars with the observed one, reported by
Popov and Turolla, we infer the value $\tau_c \simeq 5 \times 10^5$ years. We
show that merging of stellar cores in common envelopes can lead to collapses
with dynamically unstable proto-neutron stars, with their formation rate being
$\sim 0.1-1\%$ of the total core collapses, depending on the common envelope
efficiency.


title: A general Darling-Erd\"os theorem in Euclidean space

abstract:
  We provide an improved version of the Darling-Erd\"os theorem for sums of
i.i.d. random variables with mean zero and finite variance. We extend this
result to multidimensional random vectors. Our proof is based on a new strong
invariance principle in this setting which has other applications as well such
as an integral test refinement of the multidimensional Hartman-Wintner LIL. We
also identify a borderline situation where one has weak convergence to a
shifted version of the standard limiting distribution in the classic
Darling-Erd\"os theorem.


title:
Fast Calculation of the Knowledge Gradient for Optimization of
  Deterministic Engineering Simulations

abstract:
  A novel efficient method for computing the Knowledge-Gradient policy for
Continuous Parameters (KGCP) for deterministic optimization is derived. The
differences with Expected Improvement (EI), a popular choice for Bayesian
optimization of deterministic engineering simulations, are explored. Both
policies and the Upper Confidence Bound (UCB) policy are compared on a number
of benchmark functions including a problem from structural dynamics. It is
empirically shown that KGCP has similar performance as the EI policy for many
problems, but has better convergence properties for complex (multi-modal)
optimization problems as it emphasizes more on exploration when the model is
confident about the shape of optimal regions. In addition, the relationship
between Maximum Likelihood Estimation (MLE) and slice sampling for estimation
of the hyperparameters of the underlying models, and the complexity of the
problem at hand, is studied.


title:
Properties of post-shock solar wind deduced from geomagnetic indices
  responses after sudden impulses

abstract:
  Interplanetary (IP) shock plays a key role in causing the global dynamic
changes of the geospace environment. For the perspective of Solar-Terrestrial
relationship, it will be of great importance to estimate the properties of
post-shock solar wind simply and accurately. Motivated by this, we performed a
statistical analysis of IP shocks during 1998-2008, focusing on the
significantly different responses of two well-used geomagnetic indices (SYMH
and AL) to the passive of two types of IP shocks. For the IP shocks with
northward IMF (91 cases), the SYMH index keeps on the high level after the
sudden impulses (SI) for a long time. Meanwhile, the change of AL index is
relative small, with an mean value of only -29 nT. However, for the IP shocks
with southward IMF (92 cases), the SYMH index suddenly decreases at a certain
rate after SI, and the change of AL index is much significant, of -316 nT.
Furthermore, the change rate of SYMH index after SI is found to be linearly
correlated with the post-shock reconnection E-field (E$_{KL}$). Based on these
facts, an inversion model of post-shock IMF orientation and E$_{KL}$ is
developed. The model validity is also confirmed by studying 68 IP shocks in the
period of 2009-2013. The inversion accuracy of IMF orientation is 88.24%, and
the inversion efficiency of E$_{KL}$ is as high as 78%.


title:
Propagation of coupled dark-state polaritons and storage of light in a
  tripod medium

abstract:
  We consider the slow light propagation in an atomic medium with a tripod
level scheme. We show that the coexistence of two types of dark-state
polaritons leads to the propagation dynamics, which is qualitatively different
from that in a $\Lambda $-medium, and allows therefore for very efficient
conversion of signal photons into spin excitations. This efficiency is shown to
be very close to 1 even for very long signal light pulses, which could not be
entirely compressed into a Lambda-medium at a comparable strength of the
control field.


title:
Technical Facts About Dynamic Scalar Fields Underlying Algorithms of
  Mobile Robots Navigation for Tracking Environmental Boundaries and Extremum
  Seeking

abstract:
  The paper presents some characteristics of unsteady scalar planar fields and
studies their properties that are relevant to research on environmental
extremum seeking and tracking environmental boundaries by mobile robots.


title:
An Analysis of the Population of Extended Main Sequence Turn-off
  Clusters in the Large Magellanic Cloud

abstract:
  We combine a number of recent studies of the extended main sequence turn-off
(eMSTO) phenomenon in intermediate age stellar ($1-2$ Gyr) clusters in the
Large Magellanic Cloud (LMC) in order to investigate its origin. By employing
the largest sample of eMSTO LMC clusters so far used, we show that cluster core
radii, masses, and dynamical state are not related to the genesis of eMSTOs.
Indeed, clusters in our sample have core radii, masses and age-relaxation time
ratios in the range $\approx$ 2--6 pc, 3.35- 5.50 (log($M_{cls}$/$M_\odot$) and
0.2-8.0, respectively. These results imply that the eMSTO phenomenon is not
caused by actual age spreads within the clusters. Furthermore, we confirm from
a larger cluster sample recent results including young eMSTO LMC clusters, that
the FWHM at the MSTOs correlates most strongly with cluster age, suggesting
that a stellar evolutionary effect is the underlying cause.


title: Magnetic Dirichlet Laplacian with radially symmetric magnetic field

abstract:
  The aim of the paper is to derive spectral estimates on the eigenvalue
moments of the magnetic Dirichlet Laplacian defined on the two-dimensional disk
with a radially symmetric magnetic field.


title:
Rank-optimal weighting or "How to be best in the OECD Better Life
  Index?"

abstract:
  We present a method of rank-optimal weighting which can be used to explore
the best possible position of a subject in a ranking based on a composite
indicator by means of a mathematical optimization problem. As an example, we
explore the dataset of the OECD Better Life Index and compute for each country
a weight vector which brings it as far up in the ranking as possible with the
greatest advance of the immediate rivals. The method is able to answer the
question "What is the best possible rank a country can achieve with a given set
of weighted indicators?" Typically, weights in composite indicators are
justified normatively and not empirically. Our approach helps to give bounds on
what is achievable by such normative judgments from a purely output-oriented
and strongly competitive perspective. The method can serve as a basis for exact
bounds in sensitivity analysis focused on ranking positions.
  In the OECD Better Life Index data we find that 19 out the 36 countries in
the OECD Better Life Index 2014 can be brought to the top of the ranking by
specific weights. We give a table of weights for each country which brings it
to its highest possible position. Many countries achieve their best rank by
focusing on their strong dimensions and setting the weights of many others to
zero. Although setting dimensions to zero is possible in the OECD's online
tool, this contradicts the idea of better life being multidimensional in
essence. We discuss modifications of the optimization problem which could take
this into account, e.g. by allowing only a minimal weight of one.
  Methods to find rank-optimal weights can be useful for various
multidimensional datasets like the ones used to rank universities or employers.


title: Mutual information change in feedback processes driven by measurement

abstract:
  We investigate thermodynamics of feedback processes driven by measurement.
Regarding system and memory device as a composite system, mutual information as
a measure of correlation between the two constituents contributes to the
entropy of the composite system, which makes the generalized total entropy of
the joint system and reservoir satisfy the second law of thermodynamics. We
investigate the thermodynamics of the Szilard engine for an intermediate period
before the completion of cycle. We show the second law to hold resolving the
paradox of Maxwell's demon independent of the period taken into account. We
also investigate a feedback process to confine a particle excessively within a
trap, which is operated by repetitions of feedback in a finite time interval.
We derive the stability condition for multi-step feedback and find the
condition for confinement below thermal fluctuation in the absence of feedback.
The results are found to depend on interval between feedback steps and
intensity of feedback protocol, which are expected to be important parameters
in real experiments.


title: Pointwise regularity of parameterized affine zipper fractal curves

abstract:
  We study the pointwise regularity of zipper fractal curves generated by
affine mappings. Under the assumption of dominated splitting of index-1, we
calculate the Hausdorff dimension of the level sets of the pointwise H\"older
exponent for a subinterval of the spectrum. We give an equivalent
characterization for the existence of regular pointwise H\"older exponent for
Lebesgue almost every point. In this case, we extend the multifractal analysis
to the full spectrum. In particular, our results apply for de Rham's curve.


title: Mono-Higgs signature in fermionic dark matter model

abstract:
  In light of the Higgs boson discovery, we explore mono-Higgs signature in
association with dark matter pair production at the LHC in a renormalizable
model with a fermionic dark matter candidate. For two channels with
$\gamma\gamma+\text{MET}$ and $b \bar b+\text{MET}$ in the final state we
simulate the SM backgrounds and signal events at $\sqrt{s} = 14$ TeV. We then
estimate the LHC sensitivities for various benchmark points for two integrated
luminosities ${\cal L} = 300~\text{fb}^{-1}$ and ${\cal L} = 3~
\text{ab}^{-1}$. We constrain the Yukawa coupling of the dark matter-SM
interaction, taking into account bounds from mono-Higgs signature, observed
dark matter relic density, Higgs physics, perturbativity requirement and
electroweak measurements. Concerning the mono-Higgs search, it turns out that
the channel with the largest branching ratio, $b \bar b$ channel, provides
better sensitivity. There are found regions in the parameter space of the model
compatible with all the bounds mentioned above which can be reached in future
LHC studies.


title: Some Comments on the Slater number

abstract:
  Let $G$ be a graph with degree sequence $d_1\geq \ldots \geq d_n$. Slater
proposed $s\ell(G)=\min\{ s: (d_1+1)+\cdots+(d_s+1)\geq n\}$ as a lower bound
on the domination number $\gamma(G)$ of $G$. We show that deciding the equality
of $\gamma(G)$ and $s\ell(G)$ for a given graph $G$ is NP-complete but that one
can decide efficiently whether $\gamma(G)>s\ell(G)$ or $\gamma(G)\leq
\left(\left\lceil\ln
\left(\frac{n(G)}{s\ell(G)}\right)\right\rceil+1\right)s\ell(G)$. For real
numbers $\alpha$ and $\beta$ with $\alpha\geq \max\{ 0,\beta\}$, let ${\cal
G}(\alpha,\beta)$ be the class of non-null graphs $G$ such that every non-null
subgraph $H$ of $G$ has at most $\alpha n(H)-\beta$ many edges. Generalizing a
result of Desormeaux, Haynes, and Henning, we show that $\gamma(G)\leq
(2\alpha+1)s\ell(G)-2\beta$ for every graph $G$ in ${\cal G}(\alpha,\beta)$
with $\alpha \leq \frac{3}{2}$. Furthermore, we show that $\gamma(G)/s\ell(G)$
is bounded for graphs $G$ in ${\cal G}(\alpha,\beta)$ if and only if
$\alpha<2$. For an outerplanar graph $G$ with $s\ell(G)\geq 2$, we show
$\gamma(G)\leq 6s\ell(G)-6$. In analogy to $s\ell(G)$, we propose
$s\ell_t(G)=\min\{ s: d_1+\cdots+d_s\geq n\}$ as a lower bound on the total
domination number. Strengthening results due to Raczek as well as Chellali and
Haynes, we show that $s\ell_t(T)\geq \frac{n+2-n_1}{2}$ for every tree $T$ of
order $n$ at least $2$ with $n_1$ endvertices.


title: Topological Thermal Hall Effect in Frustrated Kagom\'e Antiferromagnets

abstract:
  In frustrated magnets the Dzyaloshinsky-Moriya interaction arising from
spin-orbit coupling can induce a magnetic long-range order. Here, we report a
theoretical prediction of thermal Hall effect in frustrated kagom\'e magnets
such as KCr$_3$(OH)$_6$(SO4)$_2$ and KFe$_3$(OH)$_{6}$(SO$_{4}$)$_2$. The
thermal Hall effects in these materials are induced by scalar spin chirality as
opposed to DMI in previous studies. The scalar spin chirality originates from
magnetic-field-induced chiral spin configuration due to non-coplanar spin
textures, but in general it can be spontaneously developed as a macroscopic
order parameter in chiral quantum spin liquids. Therefore, we infer that there
is a possibility of thermal Hall effect in frustrated kagom\'e magnets such as
herbertsmithite ZnCu$_3$(OH)$_6$Cl$_2$ and the chromium compound
Ca$_{10}$Cr$_7$O$_{28}$, although they also show evidence of magnetic order in
the presence of a magnetic field or pressure.


title:
The maximum dimension of a Lie nilpotent subalgebra of M_{n}(F) of index
  m

abstract:
  The main result of this paper is the following: if F is any field and R is
any F-subalgebra of the algebra of nxn matrices over F with Lie nilpotence
index m, then the F-dimension of R is less or equal than M(m+1,n), where
M(m+1,n) is the maximum of a certain expression of m+1 nonnegative integers and
n. The case m=1 reduces to a classical theorem of Schur (1905), later
generalized by Jacobson (1944) to all fields, which asserts that if F is an
algebraically closed field of characteristic zero, and R is any commutative
F-subalgebra of the full nxn matrix algebra over F, then the F-dimension of R
is less or equal than ((n^2)/4)+1. Examples constructed from block upper
triangular matrices show that the upper bound of M(m+1,n) cannot be lowered for
any choice of m and n. An explicit formula for M(m+1,n) is also derived.


title: SALVE: Server Authentication with Location VErification

abstract:
  The Location Service (LCS) proposed by the telecommunication industry is an
architecture that allows the location of mobile devices to be accessed in
various applications. We explore the use of LCS in location-enhanced server
authentication, which traditionally relies on certificates. Given recent
incidents involving certificate authorities, various techniques to strengthen
server authentication were proposed. They focus on improving the certificate
validation process, such as pinning, revocation, or multi-path probing. In this
paper, we propose using the server's geographic location as a second factor of
its authenticity. Our solution, SALVE, achieves location-based server
authentication by using secure DNS resolution and by leveraging LCS for
location measurements. We develop a TLS extension that enables the client to
verify the server's location in addition to its certificate. Successful server
authentication therefore requires a valid certificate and the server's presence
at a legitimate geographic location, e.g., on the premises of a data center.
SALVE prevents server impersonation by remote adversaries with mis-issued
certificates or stolen private keys of the legitimate server. We develop a
prototype implementation and our evaluation in real-world settings shows that
it incurs minimal impact to the average server throughput. Our solution is
backward compatible and can be integrated with existing approaches for
improving server authentication in TLS.


title:
Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein
  condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman
  splitting

abstract:
  We present an analysis of two-dimensional (2D) matter-wave solitons, governed
by the pseudo-spinor system of Gross-Pitaevskii equations with self- and
cross-attraction, which includes the spin-orbit coupling (SOC) in the general
Rashba-Dresselhaus form, and, separately, the Rashba coupling and the Zeeman
splitting. Families of semi-vortex (SV) and mixed-mode (MM) solitons are
constructed, which exist and are stable in free space, as the SOC terms prevent
the onset of the critical collapse and create the otherwise missing ground
states in the form of the solitons. The Dresselhaus SOC produces a destructive
effect on the vortex solitons, while the Zeeman term tends to convert the MM
states into the SV ones, which eventually suffer delocalization. Existence
domains and stability boundaries are identified for the soliton families. For
physically relevant parameters of the SOC system, the number of atoms in the 2D
solitons is limited by $\sim 1.5\times 10^{4}$. The results are obtained by
means of combined analytical and numerical methods.


title:
Superconducting Quantum Simulator for Topological Order and the Toric
  Code

abstract:
  Topological order is now being established as a central criterion for
characterizing and classifying ground states of condensed matter systems and
complements categorizations based on symmetries. Fractional quantum Hall
systems and quantum spin liquids are receiving substantial interest because of
their intriguing quantum correlations, their exotic excitations and prospects
for protecting stored quantum information against errors. Here we show that the
Hamiltonian of the central model of this class of systems, the Toric Code, can
be directly implemented as an analog quantum simulator in lattices of
superconducting circuits. The four-body interactions, which lie at its heart,
are in our concept realized via Superconducting Quantum Interference Devices
(SQUIDs) that are driven by a suitably oscillating flux bias. All physical
qubits and coupling SQUIDs can be individually controlled with high precision.
Topologically ordered states can be prepared via an adiabatic ramp of the
stabilizer interactions. Strings of qubit operators, including the stabilizers
and correlations along non-contractible loops, can be read out via a capacitive
coupling to read-out resonators. Moreover, the available single qubit
operations allow to create and propagate elementary excitations of the Toric
Code and to verify their fractional statistics. The architecture we propose
allows to implement a large variety of many-body interactions and thus provides
a versatile analog quantum simulator for topological order and lattice gauge
theories.


title: On a (no longer) new Segal algebra - a review of the Feichtinger algebra

abstract:
  Since its invention in 1979, the Feichtinger algebra has become a very useful
Banach space of functions with applications in time-frequency analysis, the
theory of pseudo-differential operators and several other topics. It is easily
defined on locally compact abelian groups and, in comparison with the
Schwartz(-Bruhat) space, the Feichtinger algebra allows for more general
results with easier proofs. This review paper gives a linear and comprehensive
deduction of the theory of the Feichtinger algebra and its favourable
properties. The material gives an entry point into the subject, but it will
also give new insight to the expert. A main goal of this paper is to show the
equivalence of the many different characterizations of the Feichtinger algebra
known in the literature. This task naturally guides the paper through basic
properties of functions that belong to the space, over operators on it and to
aspects of its dual space. Further results include a seemingly forgotten
theorem by Reiter on operators which yield Banach space isomorphisms of the
Feichtinger algebra; a new identification of the Feichtinger algebra as the
unique Banach space in $L^{1}$ with certain properties; and the kernel theorem
for the Feichtinger algebra. A historical description of the development of the
theory, its applications and related function space constructions is included.


title:
Observer Placement for Source Localization: The Effect of Budgets and
  Transmission Variance

abstract:
  When an epidemic spreads in a network, a key question is where was its
source, i.e., the node that started the epidemic. If we know the time at which
various nodes were infected, we can attempt to use this information in order to
identify the source. However, maintaining observer nodes that can provide their
infection time may be costly, and we may have a budget $k$ on the number of
observer nodes we can maintain. Moreover, some nodes are more informative than
others due to their location in the network. Hence, a pertinent question
arises: Which nodes should we select as observers in order to maximize the
probability that we can accurately identify the source? Inspired by the simple
setting in which the node-to-node delays in the transmission of the epidemic
are deterministic, we develop a principled approach for addressing the problem
even when transmission delays are random. We show that the optimal
observer-placement differs depending on the variance of the transmission delays
and propose approaches in both low- and high-variance settings. We validate our
methods by comparing them against state-of-the-art observer-placements and show
that, in both settings, our approach identifies the source with higher
accuracy.


title: Decision Making on Fitness Landscapes

abstract:
  We discuss fitness landscapes and how they can be modified to account for
co-evolution. We are interested in using the landscape as a way to model
rational decision making in a toy economic system. We develop a model very
similar to the Tangled Nature Model of Christensen et. al. that we call the
Tangled Decision Model. This is a natural setting for our discussion of
co-evolutionary fitness landscapes. We use a Monte Carlo step to simulate
decision making and investigate two different decision making procedures.


title: Graphene Nanobubbles as Valley Filters and Beamsplitters

abstract:
  The low energy band structure of graphene has two inequivalent valleys at K
and K' points of the Brillouin zone. The possibility to manipulate this valley
degree of freedom defines the field of valleytronics, the valley analogue of
spintronics. A key requirement for valleytronic devices is the ability to break
the valley degeneracy by filtering and spatially splitting valleys to generate
valley polarized currents. Here we suggest a way to obtain valley polarization
using strain-induced inhomogeneous pseudomagnetic fields (PMF) which act
differently on the two valleys. Notably, the suggested method does not involve
external magnetic fields, or magnetic materials, as previous proposals.
  In our proposal the strain is due to experimentally feasible nanobubbles (but
any local deformation would do): the associated PMFs lead to different real
space trajectories for K and K' electrons, thus allowing the two valleys to be
addressed individually. In this way, graphene nanobubbles can be exploited in
both valley filtering and valley splitting devices, and our simulations reveal
that a number of different functionalities are possible depending on the
deformation field.


title: A generalisation of a theorem of Wielandt

abstract:
  In 1974, Helmut Wielandt proved that in a finite group $G$, a subgroup $A$ is
subnormal if and only if it is subnormal in every $\seq{A,g}$ for all $g\in G$.
In this paper, we prove that the subnormality of an odd order nilpotent
subgroup $A$ of $G$ is already guaranteed by a seemingly weaker condition: $A$
is subnormal in $G$ if for every conjugacy class $C$ of $G$ there exists $c\in
C$ for which $A$ is subnormal in $\seq{A,c}$. We also prove the following
property of finite non-abelian simple groups: if $A$ is a subgroup of odd prime
order $p$ in a finite almost simple group $G$, then there exists a cyclic
$p'$-subgroup of $F^*(G)$ which does not normalise any non-trivial $p$-subgroup
of $G$ that is generated by conjugates of~$A$.


title:
A simple algorithm to find the L-curve corner in the regularisation of
  ill-posed inverse problems

abstract:
  We propose a simple algorithm to locate the "corner" of an L-curve, a
function often used to select the regularisation parameter for the solution of
ill-posed inverse problems. The algorithm involves the Menger curvature of a
circumcircle and the golden section search method. It efficiently finds the
regularisation parameter value corresponding to the maximum positive curvature
region of the L-curve. The algorithm is applied to some commonly available test
problems and compared to the typical way of locating the l-curve corner by
means of its analytical curvature. The application of the algorithm to the data
processing of an electrical resistance tomography experiment on thin conductive
films is also reported.


title: On Box-Perfect Graphs

abstract:
  Let $G=(V,E)$ be a graph and let $A_G$ be the clique-vertex incidence matrix
of $G$. It is well known that $G$ is perfect iff the system $A_{_G}\mathbf x\le
\mathbf 1$, $\mathbf x\ge\mathbf0$ is totally dual integral (TDI). In 1982,
Cameron and Edmonds proposed to call $G$ box-perfect if the system
$A_{_G}\mathbf x\le \mathbf 1$, $\mathbf x\ge\mathbf0$ is box-totally dual
integral (box-TDI), and posed the problem of characterizing such graphs. In
this paper we prove the Cameron-Edmonds conjecture on box-perfectness of parity
graphs, and identify several other classes of box-perfect graphs. We also
develop a general and powerful method for establishing box-perfectness.


title: Anisotropic, Mixed-Norm Lizorkin--Triebel Spaces and Diffeomorphic Maps

abstract:
  This article gives general results on invariance of anisotropic
Lizorkin--Triebel spaces with mixed norms under coordinate transformations on
Euclidean space, open sets and cylindrical domains.


title:
Approximate analytical calculations of photon geodesics in the
  Schwarzschild metric

abstract:
  We develop a method for deriving approximate analytical formulae to integrate
photon geodesics in a Schwarzschild spacetime. Based on this, we derive the
approximate equations for light bending and propagation delay that have been
introduced empirically. We then derive for the first time an approximate
analytical equation for the solid angle. We discuss the accuracy and range of
applicability of the new equations and present a few simple applications of
them to known astrophysical problems.


title:
Anisotropic Lizorkin--Triebel Spaces with Mixed Norms --- Traces on
  Smooth Boundaries

abstract:
  This article deals with trace operators on anisotropic Lizorkin--Triebel
spaces with mixed norms over cylindrical domains with smooth boundary. As a
preparation we include a rather self-contained exposition of Lizorkin--Triebel
spaces on manifolds and extend these results to mixed-norm Lizorkin--Triebel
spaces on cylinders in Euclidean space. In addition Rychkov's universal
extension operator for a half space is shown to be bounded with respect to the
mixed norms, and a support preserving right-inverse of the trace is given
explicitly and proved to be continuous in the scale of mixed-norm
Lizorkin--Triebel spaces. As an application, the heat equation is considered in
these spaces, and the necessary compatibility conditions on the data are
deduced.


title: Lorentz transformations, sideways shift and massless spinning particles

abstract:
  Recently (Phys. Rev. Lett. 114 (2015), 210402) the influence of the so called
"Wigner translations" (more generally-Lorentz trans- formations) on circularly
polarized Gaussian packets ( providing the solution to Maxwell equations in
paraxial approximation) has been studied. It appears that, within this
approximation, the Wigner trans- lations have an efect of shifting the wave
packet trajectory parallel to itself by an amount proportional to the photon
helicity. It has been suggested that this shift may result from specific
properties of the algebra of Poincare generators for massless particles. In the
present letter we describe the general relation between transformation proper-
ties of electromagnetic field on quantum and classical levels. It allows for a
straightforward derivation of the helicity-dependent transforma- tion rules. We
present also an elementary derivation of the formula for sideways shift based
on classical Maxwell theory. Some comments are made concerning the
generalization to higher helicities and the relation to the coordinate operator
defined long time ago by Pryce.


title: On weighted compositions preserving the Carath\'eodory class

abstract:
  We characterize in various ways the weighted composition transformations
which preserve the class ${\mathcal P}$ of normalized analytic functions in the
disk with positive real part. We analyze the meaning of the criteria obtained
for various special cases of symbols and identify the fixed points of such
transformations.


title:
A note on the Green's function for the transient random walk without
  killing on the half lattice, orthant and strip

abstract:
  In this note we derive an exact formula for the Green's function of the
random walk on different subspaces of the discrete lattice (orthants, including
the half space, and the strip) without killing on the boundary in terms of the
Green's function of the simple random walk on $\mathbb{Z}^d$, $d\ge 3$.


title: Endpoint-transparent Multipath Transport with Software-defined Networks

abstract:
  Multipath forwarding consists of using multiple paths simultaneously to
transport data over the network. While most such techniques require endpoint
modifications, we investigate how multipath forwarding can be done inside the
network, transparently to endpoint hosts. With such a network-centric approach,
packet reordering becomes a critical issue as it may cause critical performance
degradation.
  We present a Software Defined Network architecture which automatically sets
up multipath forwarding, including solutions for reordering and performance
improvement, both at the sending side through multipath scheduling algorithms,
and the receiver side, by resequencing out-of-order packets in a dedicated
in-network buffer.
  We implemented a prototype with commonly available technology and evaluated
it in both emulated and real networks. Our results show consistent throughput
improvements, thanks to the use of aggregated path capacity. We give
comparisons to Multipath TCP, where we show our approach can achieve a similar
performance while offering the advantage of endpoint transparency.


title:
Applicability of the Wigner functional approach to evolution of quantum
  fields

abstract:
  Evolution of highly excited quantum field is considered in the framework of
Keldysh formalism . It is demonstrated that leading order (LO) term of
semiclassical approximation appears as well-known Classical Statistical
Approximation (CSA). In simple case of spatially homogeneous scalar field
analytical expressions for leading and next-to-leading (NLO) order are
presented. It is shown that the range of applicability of CSA strongly depends
on the properties of the initial state of the system


title:
A novel transfer learning method based on common space mapping and
  weighted domain matching

abstract:
  In this paper, we propose a novel learning framework for the problem of
domain transfer learning. We map the data of two domains to one single common
space, and learn a classifier in this common space. Then we adapt the common
classifier to the two domains by adding two adaptive functions to it
respectively. In the common space, the target domain data points are weighted
and matched to the target domain in term of distributions. The weighting terms
of source domain data points and the target domain classification responses are
also regularized by the local reconstruction coefficients. The novel transfer
learning framework is evaluated over some benchmark cross-domain data sets, and
it outperforms the existing state-of-the-art transfer learning methods.


title: Chiral Heterotic Strings with Positive Cosmological Constant

abstract:
  We present explicit examples of semi-realistic heterotic models with
spontaneously broken supersymmetry, which dynamically lead to breaking scales
much smaller than $M_{\rm Planck}$ and exponentially small positive values for
the cosmological constant. Contrary to field theoretic intuition, we find that
the global structure of the effective potential is significantly affected by
contributions of massive and non-level matched string states and we investigate
the conditions that dynamically ensure a number of desired properties.


title:
Extracting work from a single reservoir in the non-Markovian underdamped
  regime

abstract:
  We derive optimal-work finite time protocols for a colloidal particle in a
Gaussian well in the general non-Markovian underdamped regime in contact with a
single reservoir. Optimal work protocols with and without measurements of
position and velocity are shown to be linear in time. In order to treat the
underdamped regime one must address forcing the particle at the start and at
the end of a protocol, conditions which dominate the short time behaviour of
the colloidal particle. We find that for protocols without measurement the
least work by an external agent decreases linearly for forced start-stop
conditions while those only forced at starting conditions are quadratic
(slower) at short times, while both decrease asymptotically to zero for
quais-static processes. When measurements are performed protocols with
start-end forcing are still more efficient at short times but can be overtaken
by start-only protocols at a threshold time. Measurement protocols derive work
from the reservoir but always below the predicted by the Sagawa's
generalization of the second law. Velocity measurement protocols are more
efficient in deriving work than position measurements.


title:
Probing current-induced magnetic fields in Au|YIG heterostructure with
  low-energy muon spectroscopy

abstract:
  We investigated the depth dependence of current-induced magnetic fields in a
bilayer of a normal metal (Au) and a ferrimagnetic insulator (Yttrium Iron
Garnet - YIG) by using low energy muon spectroscopy (LE-muSR). This allows us
to explore how these fields vary from the Au surface down to the buried Au|YIG
interface, which is relevant to study physics like the spin-Hall effect. We
observed a maximum shift of 0.4 G in the internal field of muons at the surface
of Au film which is in close agreement to the value expected for Oersted
fields. As muons are implanted closer to the Au|YIG interface the shift is
strongly suppressed, which we attribute to the dipolar fields present at the
Au|YIG interface. Combining our measurements with modelling, we show that
dipolar fields caused by the finite roughness of the Au|YIG interface
consistently explains our observations. Our results, therefore, gauge the
limits on the spatial resolution and the sensitivity of LE-muSR to the
roughness of the buried magnetic interfaces, a prerequisite for future studies
addressing current induced fields caused by the spin-Hall effect.


title:
Conformalized density- and distance-based anomaly detection in
  time-series data

abstract:
  Anomalies (unusual patterns) in time-series data give essential, and often
actionable information in critical situations. Examples can be found in such
fields as healthcare, intrusion detection, finance, security and flight safety.
In this paper we propose new conformalized density- and distance-based anomaly
detection algorithms for a one-dimensional time-series data. The algorithms use
a combination of a feature extraction method, an approach to assess a score
whether a new observation differs significantly from a previously observed
data, and a probabilistic interpretation of this score based on the conformal
paradigm.


title: Radio Loud and Radio Quiet Quasars

abstract:
  We discuss 6 GHz JVLA observations covering a volume-limited sample of 178
low redshift ($0.2 < z < 0.3$) optically selected QSOs. Our 176 radio
detections fall into two clear categories: (1) About $20$\% are radio-loud QSOs
(RLQs) having spectral luminosities $L_6 \gtrsim 10^{\,23.2}
\mathrm{~W~Hz}^{-1}$ primarily generated in the active galactic nucleus (AGN)
responsible for the excess optical luminosity that defines a \emph{bona fide}
QSO. (2) The radio-quiet QSOs (RQQs) have $10^{\,21} \lesssim L_6 \lesssim
10^{\,23.2} \mathrm{~W~Hz}^{-1}$ and radio sizes $\lesssim 10 \mathrm{~kpc}$,
and we suggest that the bulk of their radio emission is powered by star
formation in their host galaxies. "Radio silent" QSOs ($L_6 \lesssim 10^{\,21}
\mathrm{~W~Hz}^{-1}$) are rare, so most RQQ host galaxies form stars faster
than the Milky Way; they are not "red and dead" ellipticals. Earlier radio
observations did not have the luminosity sensitivity $L_6 \lesssim 10^{\,21}
\mathrm{~W~Hz}^{-1}$ needed to distinguish between such RLQs and RQQs. Strong,
generally double-sided, radio emission spanning $\gg 10 \mathrm{~kpc}$ was
found associated with 13 of the 18 RLQ cores having peak flux densities
$S_\mathrm{p} > 5 \mathrm{~mJy~beam}^{-1}$ ($log(L) \gtrsim 24$). The radio
luminosity function of optically selected QSOs and the extended radio emission
associated with RLQs are both inconsistent with simple "unified" models that
invoke relativistic beaming from randomly oriented QSOs to explain the
difference between RLQs and RQQs. Some intrinsic property of the AGNs or their
host galaxies must also determine whether or not a QSO appears radio loud.


title: Extremum Seeking for Stabilization of Systems Not Affine in Control

abstract:
  In [22] a form of extremum seeking for control (ESC) was developed for the
stabilization of uncertain nonlinear systems. In ESC the extremum seeker itself
controls the systems through feedback rather than fine tuning a controller. The
ESC results, and other related results, apply only to systems affine in
control. However, in most physical systems the control effort enters the
system's dynamics through a nonlinear function, such as an input with deadline
and saturation. In this work, we utilize our previous results on ESC to develop
stabilizing controllers for systems of practical interest that are non-affine
in control.


title: Symmetry in vanishing of Tate cohomology over Gorenstein rings

abstract:
  We investigate symmetry in the vanishing of Tate cohomology for finitely
generated modules over local Gorenstein rings. For finitely generated R-modules
M and N over Gorenstein local ring R, it is shown that
$\widehat{Ext}^i_R(M,N)=0$ for all $i\in\mathbb{Z}$ if and only if
$\widehat{Ext}^i_R(N,M)=0$ for all $i\in\mathbb{Z}$.


title:
Investigation of the energy dependence of the orbital light curve in LS
  5039

abstract:
  LS 5039 is so far the best studied $\gamma$-ray binary system at
multi-wavelength energies. A time resolved study of its spectral energy
distribution (SED) shows that above 1 keV its power output is changing along
its binary orbit as well as being a function of energy. To disentangle the
energy dependence of the power output as a function of orbital phase, we
investigated in detail the orbital light curves as derived with different
telescopes at different energy bands. We analysed the data from all existing
\textit{INTEGRAL}/IBIS/ISGRI observations of the source and generated the most
up-to-date orbital light curves at hard X-ray energies. In the $\gamma$-ray
band, we carried out orbital phase-resolved analysis of \textit{Fermi}-LAT data
between 30 MeV and 10 GeV in 5 different energy bands. We found that, at
$\lesssim$100 MeV and $\gtrsim$1 TeV the peak of the $\gamma$-ray emission is
near orbital phase 0.7, while between $\sim$100 MeV and $\sim$1 GeV it moves
close to orbital phase 1.0 in an orbital anti-clockwise manner. This result
suggests that the transition region in the SED at soft $\gamma$-rays (below a
hundred MeV) is related to the orbital phase interval of 0.5--1.0 but not to
the one of 0.0--0.5, when the compact object is "behind" its companion. Another
interesting result is that between 3 and 20 GeV no orbital modulation is found,
although \textit{Fermi}-LAT significantly ($\sim$18$\sigma$) detects LS 5039.
This is consistent with the fact that at these energies, the contributions to
the overall emission from the inferior conjunction phase region (INFC, orbital
phase 0.45 to 0.9) and from the superior conjunction phase region (SUPC,
orbital phase 0.9 to 0.45) are equal in strength. At TeV energies the power
output is again dominant in the INFC region and the flux peak occurs at phase
$\sim$0.7.


title:
The generic quantum superintegrable system on the sphere and Racah
  operators

abstract:
  We consider the generic quantum superintegrable system on the $d$-sphere with
potential $V(y)=\sum_{k=1}^{d+1}\frac{b_k}{y_k^2}$, where $b_k$ are parameters.
Appropriately normalized, the symmetry operators for the Hamiltonian define a
representation of the Kohno-Drinfeld Lie algebra on the space of polynomials
orthogonal with respect to the Dirichlet distribution. The Gaudin subalgebras
generated by Jucys-Murphy elements are diagonalized by families of Jacobi
polynomials in $d$ variables on the simplex. We define a set of generators for
the symmetry algebra and we prove that their action on the Jacobi polynomials
is represented by the multivariable Racah operators introduced in
arXiv:0705.1469. The constructions also yield a new Lie-theoretic
interpretation of the bispectral property for Tratnik's multivariable Racah
polynomials.


title:
From a Packing Problem to Quantitative Recurrence in $[0,1]$ and the
  Lagrange Spectrum of Interval Exchanges

abstract:
  This article provides optimal constants for two quantitative recurrence
problems. First of all for recurrence of maps of the interval [0,1] that
preserve the Lebesgue measure and on the other hand Lagrange spectrum of
interval exchange transformations. Both results are based on a non-conventional
packing problem in the plane with respect to the "pseudo-norm" N(x,y) =
sqrt(|xy|).


title: Data optimizations for constraint automata

abstract:
  Constraint automata (CA) constitute a coordination model based on finite
automata on infinite words. Originally introduced for modeling of coordinators,
an interesting new application of CAs is implementing coordinators (i.e.,
compiling CAs into executable code). Such an approach guarantees
correctness-by-construction and can even yield code that outperforms
hand-crafted code. The extent to which these two potential advantages
materialize depends on the smartness of CA-compilers and the existence of
proofs of their correctness.
  Every transition in a CA is labeled by a "data constraint" that specifies an
atomic data-flow between coordinated processes as a first-order formula. At
run-time, compiler-generated code must handle data constraints as efficiently
as possible. In this paper, we present, and prove the correctness of two
optimization techniques for CA-compilers related to handling of data
constraints: a reduction to eliminate redundant variables and a translation
from (declarative) data constraints to (imperative) data commands expressed in
a small sequential language. Through experiments, we show that these
optimization techniques can have a positive impact on performance of generated
executable code.


title:
Variation of the fine structure constant caused by expansion of the
  Universe

abstract:
  In present paper we evaluate the fine structure constant variation, that
should take place as the Universe expands and its curvature is changed
adiabatically. Such variation of the fine structure constant is attributed to
an energy losses by an extended physical system (consist of baryonic component
and electromagnetic field) due to expansion of our Universe.
  Obtained ratio (d alpha)/alpha = 1. 10{-18} (per second) is only five times
smaller than actually reported experimental limit on this value. For this
reason obtained variation can probably be measured within a couple of years. To
argue the correctness of our approach we calculate the Planck constant as
adiabatic invariant of the electromagnetic field propagated on a manifold
characterized by slowly varied geometry, in the framework of the pseudo-
Riemannian geometry. Finally we discuss the double clock experiment based on
Al+ and Hg+ clocks carried out by T. Rosenband et al. (Science 2008). We show
that in this case (when the fine structure constant is changed adiabatically)
the method based on double clock experiment can not be applied to measure the
fine structure constant variation.


title: On algebraic structure of matter spectrum

abstract:
  An algebraic structure of matter spectrum is studied. It is shown that a base
mathematical construction, lying in the ground of matter spectrum (introduced
by Heisenberg) , is a two-level Hilbert space. Two-level structure of the
Hilbert space is defined by the following pair: 1) a separable Hilbert space
with operator algebras and fundamental symmetries; 2) a nonseparable (physical)
Hilbert space with dynamical and gauge symmetries, that is, a space of states
(energy levels) of the matter spectrum. The each state of matter spectrum is
defined by a cyclic representation within Gel'fand-Naimark-Segal construction.
A decomposition of the physical Hilbert space onto coherent subspaces is given.
This decomposition allows one to describe the all observed spectrum of states
on an equal footing, including lepton, meson and baryon sectors of the matter
spectrum. Following to Heisenberg, we assume that there exist no fundamental
particles, there exist fundamental symmetries. It is shown also that all the
symmetries of matter spectrum are divided onto three kinds: fundamental,
dynamical and gauge symmetries.


title: Black Hole Information Problem and Wave Bursts

abstract:
  By reexamination of the boundary conditions of wave equation on a black hole
horizon it is found not harmonic, but real-valued exponentially time-dependent
solutions. This means that quantum particles probably do not cross the
Schwarzschild horizon, but are absorbed and some are reflected by it, what
potentially can solve the famous black hole information paradox. To study this
strong gravitational lensing we are introducing an effective negative
cosmological constant between the Schwarzschild and photon spheres. It is shown
that the reflected particles can obtain their additional energy in this
effective AdS space and could explain properties of some unusually strong
signals, like LIGO events, gamma ray and fast radio bursts.


title: Physics on the adiabatically changed Finslerian manifold and cosmology

abstract:
  In present paper we confirm our previous result [5] that the Planck constant
is adiabatic invariant of electromagnetic field propagating on the
adiabatically changed Finslerian manifold. Direct calculation from cosmological
parameters gives value h=6x10(-27) (erg s). We also confirm that Planck
constant (and hence other fundamental constants which depend on h) is varied on
time due to changing of geometry.
  As an example the variation of the fine structure constant is calculated. Its
relative variation ((da/dt)/a) consist 1.0x10(-18) (1/s).
  We show that on the Finsler manifold characterized by adiabatically changed
geometry, classical free electromagnetic field is quantized geometrically, from
the properties of the manifold in such manner that adiabatic invariant of field
is ET=6x10(-27)=h(erg s).
  Equations of electrodynamics on the Finslerian manifold are suggested. It is
stressed that quantization naturally appears from these equations and is
provoked by adiabatically changed geometry of manifold. We consider in details
two direct consequences of the equations: i) cosmological redshift of photons
and ii) effects of Aharonov -- Bohm that immediately follow from obtained
equations. It is shown that quantization of system consists of electromagnetic
field and baryonic components (like atoms) is obvious and has clear
explanation.


title:
Resilience of $\mathcal{PT}$ symmetry against stochasticity in a
  gain-loss balanced oscillator

abstract:
  We investigate the effects of dichotomous noise added to a classical harmonic
oscillator in the form of stochastic time-dependent gain and loss states, whose
durations are sampled from two distinct exponential waiting time distributions.
Despite the stochasticity, stability criteria can be formulated when averaging
over many realizations in the asymptotic time limit and serve to determine the
boundary line in parameter space that separates regions of growing amplitudes
from those of decaying ones. Furthermore, the concept of $\mathcal{PT}$
symmetry remains applicable for such a stochastic oscillator and we use it to
distinguish between an underdamped symmetric phase and an overdamped asymmetric
phase. In the former case, the limit of stability is marked by the same average
duration for the gain and loss states, whilst in the the latter case, a higher
duration of the loss state is necessary to keep the system stable. The
overdamped phase has an ordered structure imposing a position-velocity ratio
locking and is viewed as a phase transition from the underdamped phase, which
instead displays a broad and more disordered, but nevertheless, $\mathcal{PT}$
symmetric structure. We also address the short time limit and the dynamics of
the moments of the position and the velocity with the aim of revealing the
extremely rich dynamics offered by this apparently quite simple mechanical
system. The notions established so far may be extended and applied in the
stabilization of light propagation in metamaterials and optical fibres with
randomly distributed regions of asymmetric active and passive media.