title:
Surface Transformations and Water Uptake on Liquid and Solid Butanol
  near the Melting Temperature

abstract:
  Water interactions with organic surfaces are of central importance in
biological systems and many Earth system processes. Here we describe
experimental studies of water collisions and uptake kinetics on liquid and
solid butanol from 160 to 200 K. Hyperthermal D2O molecules (0.32 eV) undergo
efficient trapping on both solid and liquid butanol, and only a minor fraction
scatters inelastically after an 80% loss of kinetic energy to surface modes.
Trapped molecules either desorb within a few ms, or are taken up by the butanol
phase during longer times. The water uptake and surface residence time increase
with temperature above 180 K indicating melting of the butanol surface 4.5 K
below the bulk melting temperature. Water uptake changes gradually across the
melting point and trapped molecules are rapidly lost by diffusion into the
liquid above 190 K. This indicates that liquid butanol maintains a surface
phase with limited water permeability up to 5.5 K above the melting point.
These surface observations are indicative of an incremental change from solid
to liquid butanol over a range of 10 K straddling the bulk melting temperature,
in contrast to the behavior of bulk butanol and previously studied materials.


title:
Futures market efficiency diagnostics via temporal two-point
  correlations. Russian market case study

abstract:
  Using a two-point correlation technique, we study emergence of market
efficiency in the emergent Russian futures market by focusing on lagged
correlations. The correlation strength of leader-follower effects in the lagged
inter-market correlations on the hourly time frame is seen to be significant
initially (2009-2011) but gradually goes down, as the erstwhile leader
instruments -- crude oil, the USD/RUB exchange rate, and the Russian stock
market index -- seem to lose the leader status. An inefficiency index, based on
two-point correlations, is proposed and its history is established.


title:
Local digital algorithms for estimating the integrated mean curvature of
  r-regular sets

abstract:
  Consider the design based situation where an $r$-regular set is sampled on a
random lattice. A fast algorithm for estimating the integrated mean curvature
based on this observation is to use a weighted sum of $2\times \dotsm \times 2$
configuration counts. We show that for a randomly translated lattice, no
asymptotically unbiased estimator of this type exists in dimension greater than
or equal to three, while for stationary isotropic lattices, asymptotically
unbiased estimators are plenty. Both results follow from a general formula that
we state and prove, describing the asymptotic behavior of hit-or-miss
transforms of $r$-regular sets.


title: Pair-production opacity at high and very-high gamma-ray energies

abstract:
  The propagation of high energy (HE, $E_\gamma>100$ MeV) and very high-energy
gamma-rays (VHE, $E_\gamma>100$ GeV) in the extra-galactic photon field leads
to pair-production and consequently energy- and distance-dependent attenuation
of the primary intensity. The spectroscopy of an increasing number of
extra-galactic objects at HE and VHE energies has demonstrated indeed the
presence of such an attenuation which in turn has been used to constrain the
photon density in the medium. At large optical depth ($\tau\gtrsim 2$)
potential modifications of pair-production due to competing but rare processes
(as, e.g., the presence of sub-neV axion-like particle) may be found.
Indications for a pair-production anomaly have previously been found with
VHE-spectra. Here, we present further indications (at the level of $3.68
\sigma$) for a reduced optical depth at high energies from an analysis of
Fermi-\textit{LAT} data.


title: Alignments of galaxies within cosmic filaments from SDSS DR7

abstract:
  Using a sample of galaxy groups selected from the Sloan Digital Sky Survey
Data Release 7 (SDSS DR7), we examine the alignment between the orientation of
galaxies and their surrounding large scale structure in the context of the
cosmic web. The latter is quantified using the large-scale tidal field,
reconstructed from the data using galaxy groups above a certain mass threshold.
We find that the major axes of galaxies in filaments tend to be preferentially
aligned with the directions of the filaments, while galaxies in sheets have
their major axes preferentially aligned parallel to the plane of the sheets.
The strength of this alignment signal is strongest for red, central galaxies,
and in good agreement with that of dark matter halos in N-body simulations.
This suggests that red, central galaxies are well aligned with their host
halos, in quantitative agreement with previous studies based on the spatial
distribution of satellite galaxies. There is a luminosity and mass dependence
that brighter and more massive galaxies in filaments and sheets have stronger
alignment signals. We also find that the orientation of galaxies is aligned
with the eigenvector associated with the smallest eigenvalue of the tidal
tensor. These observational results indicate that galaxy formation is affected
by large-scale environments, and strongly suggests that galaxies are aligned
with each other over scales comparable to those of sheets and filaments in the
cosmic web.


title: SEEDS: Superpixels Extracted via Energy-Driven Sampling

abstract:
  Superpixel algorithms aim to over-segment the image by grouping pixels that
belong to the same object. Many state-of-the-art superpixel algorithms rely on
minimizing objective functions to enforce color ho- mogeneity. The optimization
is accomplished by sophis- ticated methods that progressively build the
superpix- els, typically by adding cuts or growing superpixels. As a result,
they are computationally too expensive for real-time applications. We introduce
a new approach based on a simple hill-climbing optimization. Starting from an
initial superpixel partitioning, it continuously refines the superpixels by
modifying the boundaries. We define a robust and fast to evaluate energy
function, based on enforcing color similarity between the bound- aries and the
superpixel color histogram. In a series of experiments, we show that we achieve
an excellent com- promise between accuracy and efficiency. We are able to
achieve a performance comparable to the state-of- the-art, but in real-time on
a single Intel i7 CPU at 2.8GHz.


title: Efficient Graph Algorithms for Network Analysis

abstract:
  The GC problem is to identify a pre-determined number of center vertices such
that the distances or costs from (or to) the centers to (or from) other
vertices is minimized. The bottleneck of a path is the minimum capacity of
edges on the path. The Bottleneck Paths (BP) problem is to compute the paths
that give us the maximum bottleneck values between pairs of vertices. The Graph
Bottleneck (GB) problem is to find the minimum bottleneck value out of
bottleneck paths for all possible pairs of vertices. We give two similar
algorithms that are based on binary search to solve the 1-center GC problem and
the GB problem on directed graphs with unit edge costs. We achieve
$\tilde{O}(n^{2.373})$ worst case time complexity for both the 1-center GC
problem and the GB problem, where $n$ is the number of vertices in the graph.
This is better than the straightforward methods of solving the two problems in
$O(n^{2.575})$ and $O(n^{2.688})$ time bounds, respectively.
  We then combine the Bottleneck Paths (BP) problem with the well known
Shortest Paths (SP) problem to compute the shortest paths for all possible flow
values. We call this problem the Shortest Paths for All Flows (SP-AF) problem.
We show that if the flow demand is uncertain, but between two consecutive
capacity values, the unique shortest path can be computed to push that flow. If
the uncertainty stretches over two intervals, we need to prepare two shortest
paths to accommodate the uncertainty, etc. In introducing this new problem, we
define a new semi-ring called the distance/flow semi-ring, and show that the
well known algorithm by Floyd can be used over the distance/flow semi-ring to
solve the All Pairs Shortest Paths for All Flows (APSP-AF) problem.


title: Extended string field theory for massless higher-spin fields

abstract:
  We propose a new gauge field theory which is an extension of ordinary string
field theory by assembling multiple state spaces of the bosonic string. The
theory includes higher spin fields in its massless spectrum together with the
infinite tower of massive fields. From the theory, we can easily extract the
minimal gauge invariant quadratic action for tensor fields with any symmetry.
As examples, we explicitly derive the gauge invariant actions for some simple
mixed symmetric tensor fields. We also construct covariantly gauge-fixed action
by extending the method developed for string field theory.


title:
Extreme Analysis of a Non-convex and Nonlinear Functional of Gaussian
  Processes -- On the Tail Asymptotics of Random Ordinary Differential
  Equations

abstract:
  In this paper, we consider a stochastic system described by a differential
equation admitting a spatially varying random coefficient.
  The differential equation has been employed to model various static physics
systems such as elastic deformation, water flow, electric-magnetic fields,
temperature distribution, etc.
  A random coefficient is introduced to account for the system's uncertainty
and/or imperfect measurements.
  This random coefficient is described by a Gaussian process (the input
process) and thus the solution to the differential equation (under certain
boundary conditions) is a complexed functional of the input Gaussian process.
  In this paper, we focus the analysis on the one-dimensional case and derive
asymptotic approximations of the tail probabilities of the solution to the
equation that has various physics interpretations under different contexts.
  This analysis rests on the literature of the extreme analysis of Gaussian
processes (such as the tail approximations of the supremum) and extends the
analysis to more complexed functionals.


title: Spin Hot Spots in Single-Electron GaAs-based Quantum Dots

abstract:
  Spin relaxation of a single electron in a weakly coupled double quantum dot
is calculated numerically. The phonon assisted spin flip is allowed by the
presence of the linear and cubic spin-orbit couplings and nuclear spins. The
rate is calculated as a function of the interdot coupling, the magnetic field
strength and orientation, and the dot bias. In an in-plane magnetic field, the
rate is strongly anisotropic with respect to the magnetic field orientation,
due to the anisotropy of the spin-orbit interactions. The nuclear spin
influence is negligible. In an out-of-plane field, the nuclear spins play a
more important role due selection rules imposed on the spin-orbit couplings.
Our theory shows a very good agreement with data measured in [Srinivasa, et
al., PRL 110, 196803 (2013)], allowing us to extract information on the linear
spin-orbit interactions strengths in that experiment. We estimate that they
correspond to spin-orbit lengths of about 5-15 $\mu$m.


title:
Interpolation methods to compute statistics of a stochastic partial
  differential equation

abstract:
  This paper considers the analysis of partial differential equations (PDE)
containing multiple random variables. Recently developed collocation methods
enable the construction of high-order stochastic solutions by converting a
stochastic PDE into a system of deterministic PDEs. This interpolation method
requires that the probability distribution of all random input variables is
known a priori, which is often not the case in industrially relevant
applications. Additionally, this method suffers from a curse of dimensionality,
i.e., the number of deterministic PDEs to be solved grows exponentially with
respect to the number of random variables. This paper presents an alternative
interpolation method, based on a radial basis function (RBF) metamodel, to
compute statistics of the stochastic PDE. The RBF metamodel can be constructed
even if the probability distribution of all random variables is not known.
Then, a lot of statistic scenarios with different probability distributions of
the random variables can be computed with this single metamodel. In order to
reduce the model complexity, we present a parameter screening technique which
can be combined with an interpolation method to solve a reduced stochastic
model. Numerical results of a model problem demonstrate that the RBF metamodel
is as fast as a low order collocation approach and achieves a good accuracy.
The parameter screening is able to reduce the dimension and, thus, to
accelerate the computation of the stochastic solution.


title:
Analysis of the factorization method for a general class of boundary
  conditions

abstract:
  We analyze the factorization method (introduced by Kirsch in 1998 to solve
inverse scattering problems at fixed frequency from the far field operator) for
a general class of boundary conditions that generalizes impedance boundary
conditions. For instance, when the surface impedance operator is of
pseudo-differential type, our main result stipulates that the factorization
method works if the order of this operator is different from one and the
operator is Fredholm of index zero with non negative imaginary part. We also
provide some validating numerical examples for boundary operators of second
order with discussion on the choice of the test function.


title: Stochastic epidemics in growing populations

abstract:
  Consider a uniformly mixing population which grows as a super-critical linear
birth and death process. At some time an infectious disease (of SIR or SEIR
type) is introduced by one individual being infected from outside. It is shown
that three different scenarios may occur: 1) an epidemic never takes off, 2) an
epidemic gets going and grows but at a slower rate than the community thus
still being negligible in terms of population fractions, or 3) an epidemic
takes off and grows quicker than the community eventually leading to an endemic
equilibrium. Depending on the parameter values, either scenario 1 is the only
possibility, both scenario 1 and 2 are possible, or scenario 1 and 3 are
possible.


title:
Weak Forces and Neutrino Oscillations under the standards of Hybrid
  Gravity with Torsion

abstract:
  We present a unifying approach where weak forces and neutrino oscillations
are interpreted under the same standards of torsional hybrid gravity. This
gravitational theory mixes metric and metric-affine formalism in presence of
torsion and allows to derive an effective scalar field which gives rise to a
running coupling for Dirac matter fields. In this picture, two phenomena
occurring at different energy scales can be encompassed under the dynamics of
such a single scalar field, which represents the further torsional and
curvature degrees of freedom.


title:
Spreading of ultrarelativistically expanding shell: an application to
  GRBs

abstract:
  Optically thick energy dominated plasma created in the source of Gamma-Ray
Bursts (GRBs) expands radially with acceleration and forms a shell with
constant width measured in the laboratory frame. When strong Lorentz factor
gradients are present within the shell it is supposed to spread at sufficiently
large radii. There are two possible mechanisms of spreading: hydrodynamical and
thermal ones. We consider both mechanisms evaluating the amount of spreading
that occurs during expansion up to the moment when the expanding shell becomes
transparent for photons. We compute the hydrodynamical spreading of an
ultrarelativistically expanding shell. In the case of thermal spreading we
compute the velocity spread as a function of two parameters: comoving
temperature and bulk Lorentz factor of relativistic Maxwellian distribution.
Based on this result we determine the value of thermal spreading of
relativistically expanding shell. We found that thermal spreading is negligible
for typical GRB parameters. Instead hydrodynamical spreading appears to be
significant, with the shell width reaching $\sim10^{10}$ cm for total energy
$E=10^{54}$ erg and baryonic loading $B=10^{-2}$. Within the fireshell model
such spreading will result in the duration of Proper Gamma-Ray Bursts up to
several seconds.


title: Geodesic-Preserving Polygon Simplification

abstract:
  Polygons are a paramount data structure in computational geometry. While the
complexity of many algorithms on simple polygons or polygons with holes depends
on the size of the input polygon, the intrinsic complexity of the problems
these algorithms solve is often related to the reflex vertices of the polygon.
In this paper, we give an easy-to-describe linear-time method to replace an
input polygon $\mathcal{P}$ by a polygon $\mathcal{P}'$ such that (1)
$\mathcal{P}'$ contains $\mathcal{P}$, (2) $\mathcal{P}'$ has its reflex
vertices at the same positions as $\mathcal{P}$, and (3) the number of vertices
of $\mathcal{P}'$ is linear in the number of reflex vertices. Since the
solutions of numerous problems on polygons (including shortest paths, geodesic
hulls, separating point sets, and Voronoi diagrams) are equivalent for both
$\mathcal{P}$ and $\mathcal{P}'$, our algorithm can be used as a preprocessing
step for several algorithms and makes their running time dependent on the
number of reflex vertices rather than on the size of $\mathcal{P}$.


title:
Flux tube widening in compact U (1) lattice gauge theory computed at T <
  Tc with the multilevel method and GPUs

abstract:
  We utilize Polyakov loop correlations to study d=3+1 compact U (1) flux tubes
and the static electron-positron potential in lattice gauge theory. With the
plaquette field operator, in U(1) lattice gauge theory, we probe directly the
components of the electric and magnetic fields. In order to improve the
signal-to-noise ratio in the confinement phase, we apply the L\"uscher-Weiss
multilevel algorithm. Our code is written in CUDA, and we run it in NVIDIA
FERMI generation GPUs, in order to achieve the necessary efficiency for our
computations. We measure in detail the quantum widening of the flux tube, as a
function of the intercharge distance and at different finite temperatures T <
Tc . Our results are compatible with the Effective String Theory.


title:
Phase diagram and piezoelectric response of (Ba1-xCax)(Zr0.1Ti0.9)O3
  solid solution

abstract:
  We report the phase diagram of (Ba1-xCax)(Zr0.1Ti0.9)O3 solid solution. It is
found that substitution of smaller Ca ions for Ba ions can slightly increase
the cubic-tetragonal(T) para-ferroelectric phase transition temperature and
strongly decrease the T-orthorhombic (O) and O-rhombohedral (R) transition.
This unique ferroelectric phase evolution is attributed to Ca off-centering
effects. More importantly, lowering of the T-O or O-R phase transitions allows
us to prepare the piezoelectric ceramics with a strain response as high as
S/E~800 pm/V (E=10 kV/cm) over a wide range of compositions with x~0.1 - 0. 18
at room temperature, which may be interesting for piezoelectric applications.


title:
Complete classification of spherically symmetric static spacetimes via
  Noether symmetries

abstract:
  In this paper we give a complete classification of spherically symmetric
static space-times by their Noether symmetries. The determining equations for
Noether symmetries are obtained by using the usual Lagrangian of a general
spherically symmetric static spacetime which are integrated for each case. In
particular we observe that spherically symmetric static spacetimes are
categorized into six distinct classes corresponding to Noether algebra of
dimensions 5, 6, 7, 9, 11 and 17. Using Noether`s theorem we also write down
the first integrals for each class of such spacetimes corresponding to their
Noether symmetries. Some new spherically symmetric static solutions have also
been obtained.


title: Weak-star point of continuity property and Schauder bases

abstract:
  We characterize the weak-star point of continuity property for subspaces of
dual spaces with separable predual and we deduce that the weak-star point of
continuity property is determined by subspaces with a Schauder basis in the
natural setting of dual spaces of separable Banach spaces. As a consequence of
the above characterization we get that a dual space satisfies the Radon-Nikodym
property if, and only if, every seminormalized topologically weak-star null
tree has a boundedly complete branch, which improves some results in \cite{DF}
obtained for the separable case. Also, as a consequence of the above
characterization, the following result obtained in \cite{R1} is deduced: {\it
every seminormalized basic sequence in a Banach space with the point of
continuity property has a boundedly complete subsequence


title: Surface Waves in Almost Incompressible Elastic Materials

abstract:
  A recent study shows that the classical theory concerning accuracy and points
per wavelength is not valid for surface waves in almost incompressible elastic
materials. The grid size must instead be proportional to
$(\frac{\mu}{\lambda})^{(1/p)}$ to achieve a certain accuracy. Here $p$ is the
order of accuracy the scheme and $\mu$ and $\lambda$ are the Lame parameters.
This accuracy requirement becomes very restrictive close to the incompressible
limit where $\frac{\mu}{\lambda} \ll 1$, especially for low order methods. We
present results concerning how to choose the number of grid points for 4th, 6th
and 8th order summation-by-parts finite difference schemes. The result is
applied to Lambs problem in an almost incompressible material.


title:
Unequal Error Protection by Partial Superposition Transmission Using
  LDPC Codes

abstract:
  In this paper, we consider designing low-density parity-check (LDPC) coded
modulation systems to achieve unequal error protection (UEP). We propose a new
UEP approach by partial superposition transmission called UEP-by-PST. In the
UEP-by-PST system, the information sequence is distinguished as two parts, the
more important data (MID) and the less important data (LID), both of which are
coded with LDPC codes. The codeword that corresponds to the MID is superimposed
on the codeword that corresponds to the LID. The system performance can be
analyzed by using discretized density evolution. Also proposed in this paper is
a criterion from a practical point of view to compare the efficiencies of
different UEP approaches. Numerical results show that, over both additive white
Gaussian noise (AWGN) channels and uncorrelated Rayleigh fading channels, 1)
UEP-by-PST provides higher coding gain for the MID compared with the
traditional equal error protection (EEP) approach, but with negligible
performance loss for the LID; 2) UEP-by-PST is more efficient with the proposed
practical criterion than the UEP approach in the digital video broadcasting
(DVB) system.


title:
Heavy Quark Symmetries: Molecular Partners of the X(3872) and
  $Z_{b}(10610)/Z_{b}'(10650)$

abstract:
  In this work, we have used an Effective Field Theory (EFT) framework based on
Heavy Quark Spin (HQSS), Heavy Flavour (HFS) and Heavy Antiquark-Diquark
symmetries (HADS). Using a standard lagrangian for the heavy meson-heavy
antimeson system, we fit the counter-terms of the model to predict some
promising experimental data that can be interpreted as heavy meson-heavy
antimeson molecules, that is, the X(3872) and the $Z_{b}(10610)/Z'_{b}(10650)$.
Next, and, taking advantage of HADS, we use the same lagrangian to explore the
consequences for heavy meson-doubly heavy baryon molecules, which can also be
interpreted as triply heavy pentaquarks.


title: Octahedral norms and convex combination of slices in Banach spaces

abstract:
  We study the relation between octahedral norms, Daugavet property and the
size of convex combinations of slices in Banach spaces. We prove that the norm
of an arbitrary Banach space is octahedral if, and only if, every convex
combination of $w^*$-slices in the dual unit ball has diameter 2, which answer
an open question. As a consequence we get that the Banach spaces with the
Daugavet property and its dual spaces have octahedral norms. Also, we show that
for every separable Banach space containing $\ell_1$ and for every $\varepsilon
>0$ there is an equivalent norm so that every convex combination of
$w^*$-slices in the dual unit ball has diameter at least $2-\varepsilon$.


title:
Higher Loop Corrections to the Infrared Evolution of Fermionic Gauge
  Theories in the RI' Scheme

abstract:
  We study the evolution of the gauge coupling and the anomalous dimension of
the mass towards an infrared fixed point for non-supersymmetric gauge theories
in the modified regularization invariant, RI', scheme. This is done at the
three loop level where all the renormalization group functions have been
calculated explicitly. The purpose is to assess the scheme dependence of
earlier and similar investigations performed at three and four loop order in
the modified minimal subtraction, $\bar{\text{MS}}$, scheme. Our results are of
the same order when compared to the $\bar{\text{MS}}$ scheme.


title:
Three-Dimensional Smoothed Particle Hydrodynamics Simulation for Liquid
  Droplet with Surface Tension

abstract:
  We provide a basic method of Smoothed Particle Hydrodynamics (SPH) to
simulate liquid droplet with surface tension in three dimensions. Liquid
droplet is a simple case for surface tension modeling. Surface tension works
only on fluid surface. In SPH method, we simply apply the surface tension on
the boundary particles of liquid. The particle on the 3D boundary was detected
dynamically using Free-Surface Detection algorithm. The normal vector and
curvature of the boundary surface were calculated simultaneously with 3D
boundary surface reconstruction using Moving Least-Squares (MLS) method. Before
the reconstruction, the coordinate system was transformed into a local
coordinate system. Afterwards, the surface tension force which depends on
curvature of the surface, was calculated and applied on the boundary particles
of the droplet. We present the simulation result of droplet motion with gravity
force. By using the basic method of SPH for fluid modeling, and a combination
of 3D Free-Surface Detection algorithm with MLS method, we can simulate droplet
phenomena with expected result.


title: Gamma-ray burst afterglow theory

abstract:
  It is by now fairly well established that gamma-ray burst afterglows result
from initially relativistic outflows interacting with the medium surrounding
the burster and emitting non-thermal radiation ranging from radio to X-rays.
However, beyond that, many big and small questions remain about afterglows,
with the accumulating amount of observational data at the various frequencies
raising as many questions as they answer. In this review I highlight a number
of current theoretical issues and how they fit or do not fit within our basic
theoretical framework. In addition to theoretical progress I will also
emphasize the increasing role and usefulness of numerical studies of afterglow
blast waves and their radiation.


title:
Improved bounds for the shortness coefficient of cyclically 4-edge
  connected cubic graphs and snarks

abstract:
  We present a construction which shows that there is an infinite set of
cyclically 4-edge connected cubic graphs on $n$ vertices with no cycle longer
than $c_4 n$ for $c_4=\frac{12}{13}$, and at the same time prove that a certain
natural family of cubic graphs cannot be used to lower the shortness
coefficient $c_4$ to 0.
  The graphs we construct are snarks so we get the same upper bound for the
shortness coefficient of snarks, and we prove that the constructed graphs have
an oddness growing linearly with the number of vertices.


title: Ambipolar spin transport in (111) GaAs quantum wells

abstract:
  We present a microscopic theory for transport of the spin polarized charge
density wave with both electrons and holes in the $(111)$ GaAs quantum wells.
We analytically show that, contradicting to the commonly accepted belief, the
spin and charge motions are bound together only in the fully polarized system
but can be separated in the case of low spin polarization or short spin
lifetime even when the spatial profiles of spin density wave and charge density
wave overlap with each other. We further show that, the Coulomb drag between
electrons and holes can markedly enhance the hole spin diffusion if the hole
spin motion can be separated from the charge motion. In the high spin polarized
system, the Coulomb drag can boost the hole spin diffusion coefficient by more
than one order of magnitude.


title:
Results on damage induced by high-energy protons in LYSO calorimeter
  crystals

abstract:
  Lutetium-Yttrium Orthosilicate doped with Cerium (LYSO:Ce), as a bright
scintillating crystal, is a candidate for calorimetry applications in strong
ionizing-radiation fields and large high-energy hadron fluences as are expected
at the CERN Large Hadron Collider after the planned High-Luminosity upgrade.
There, proton-proton collisions will produce fast hadron fluences up to
~5E14/cm^2 in the large-rapidity regions of the calorimeters. The performance
of LYSO:Ce has been investigated, after exposure to different fluences of 24
GeV/c protons. Measured changes in optical transmission as a function of proton
fluence are presented, and the evolution over time due to spontaneous recovery
at room temperature is studied. The activation of materials will also be an
issue in the described environment. Studies of the ambient dose induced by LYSO
and its evolution with time, in comparison with other scintillating crystals,
have also been performed through measurements and FLUKA simulations.


title:
Mixing time and cutoff for the adjacent transposition shuffle and the
  simple exclusion

abstract:
  In this paper, we investigate the mixing time of the adjacent transposition
shuffle for a deck of $N$ cards. We prove that around time $N^2\log
N/(2\pi^2)$, the total variation distance to equilibrium of the deck
distribution drops abruptly from $1$ to $0$, and that the separation distance
has a similar behavior but with a transition occurring at time $(N^2\log
N)/\pi^2$. This solves a conjecture formulated by David Wilson. We present also
similar results for the exclusion process on a segment of length $N$ with $k$
particles.


title: Finding an infection source under the SIS model

abstract:
  We consider the problem of identifying an infection source based only on an
observed set of infected nodes in a network, assuming that the infection
process follows a Susceptible-Infected-Susceptible (SIS) model. We derive an
estimator based on estimating the most likely infection source associated with
the most likely infection path. Simulation results on regular trees suggest
that our estimator performs consistently better than the minimum distance
centrality based heuristic.


title: Marginally trapped submanifolds in space forms with arbitrary signature

abstract:
  We give explicit representation formulas for marginally trapped submanifolds
of co-dimension two in pseudo-Riemannian spaces with arbitrary signature and
constant sectional curvature. This paper is dedicated to the memory of Franki
Dillen, 1963-2013.


title: Elastic response of filamentous networks with compliant crosslinks

abstract:
  Experiments have shown that elasticity of disordered filamentous networks
with compliant crosslinks is very different from networks with rigid
crosslinks. Here, we model and analyze filamentous networks as a collection of
randomly oriented rigid filaments connected to each other by flexible
crosslinks that are modeled as worm-like chains. For relatively large
extensions we allow for enthalpic stretching of crosslinks' backbones. We show
that for sufficiently high crosslink density, the network linear elastic
response is affine on the scale of the filaments' length. The nonlinear regime
can become highly nonaffine and is characterized by a divergence of the elastic
modulus at finite strain. In contrast to the prior predictions, we do not find
an asymptotic regime in which the differential elastic modulus scales linearly
with the stress, although an approximate linear dependence can be seen in a
transition from entropic to enthalpic regimes. We discuss our results in light
of the recent experiments.


title:
A Metric-learning based framework for Support Vector Machines and
  Multiple Kernel Learning

abstract:
  Most metric learning algorithms, as well as Fisher's Discriminant Analysis
(FDA), optimize some cost function of different measures of within-and
between-class distances. On the other hand, Support Vector Machines(SVMs) and
several Multiple Kernel Learning (MKL) algorithms are based on the SVM large
margin theory. Recently, SVMs have been analyzed from SVM and metric learning,
and to develop new algorithms that build on the strengths of each. Inspired by
the metric learning interpretation of SVM, we develop here a new
metric-learning based SVM framework in which we incorporate metric learning
concepts within SVM. We extend the optimization problem of SVM to include some
measure of the within-class distance and along the way we develop a new
within-class distance measure which is appropriate for SVM. In addition, we
adopt the same approach for MKL and show that it can be also formulated as a
Mahalanobis metric learning problem. Our end result is a number of SVM/MKL
algorithms that incorporate metric learning concepts. We experiment with them
on a set of benchmark datasets and observe important predictive performance
improvements.


title:
Simulating galaxy evolution with a non-universal stellar initial mass
  function

abstract:
  We consider that the stellar initial mass function (IMF) depends on physical
properties of star-forming molecular clouds in galaxies and thereby investigate
how such a non-universal IMF (NUIMF) influences galaxy evolution. We
incorporate a NUIMF model into galaxy-scale chemodynamical simulations in order
to investigate the differences in chemical and dynamical evolution of disk
galaxies between the NUIMF and universal IMF (UIMF) models. In the adopted
NUIMF model, the three slopes of the Kroupa IMF depend independently on
densities and metallicities ([Fe/H]) of molecular gas clouds, and production
rates of metals and dust from massive and AGB stars can vary according to the
time evolution of the three IMF slopes. The preliminary results of the
simulations are as follows. Star formation rates in actively star-forming disk
galaxies can be significantly lower in the NUIMF model than in the UIMF model,
and the differences between the two models can be more remarkable in galaxies
with higher SFRs. Chemical enrichment can proceed more rapidly in the NUIMF
model and [Mg/Fe] for a given metallicity is higher in the NUIMF model. The
evolution of H2 fraction (f_H2) and dust-to-gas ratio (D) is more rapid in the
NUIMF model so that the final f_H2 and $D$ can be higher in the NUIMF model.
Formation of massive stellar clumps in gas-rich disks is more strongly
suppressed owing to the stronger SN feedback effect in the NUIMF model. The
radial density profiles of new stars within the central 1kpc are shallower in
the NUIMF model.


title:
Robust frequency stabilization of multiple spectroscopy lasers with
  large and tunable offset frequencies

abstract:
  We demonstrate a compact and robust device for simultaneous absolute
frequency stabilization of three diode lasers whose carrier frequencies can be
chosen freely relative to the reference. A rigid ULE multi-cavity block is
employed, and, for each laser, the sideband locking technique is applied.
Useful features of the system are a negligible lock error, computer control of
frequency offset, wide range of frequency offset, simple construction, and
robust operation. One concrete application is as a stabilization unit for the
cooling and trapping lasers of a neutral atom lattice clock. The device
significantly supports and improves the operation of the clock. The laser with
the most stringent requirements imposed by this application is stabilized to a
linewidth of 70 Hz, and a residual frequency drift less than 0.5 Hz/s. The
carrier optical frequency can be tuned over 350 MHz while in lock.


title:
Linear difference equations, frieze patterns and combinatorial Gale
  transform

abstract:
  We study the space of linear difference equations with periodic coefficients
and (anti)periodic solutions. We show that this space is isomorphic to the
space of tame frieze patterns and closely related to the moduli space of
configurations of points in the projective space. We define the notion of
combinatorial Gale transform which is a duality between periodic difference
equations of different orders. We describe periodic rational maps generalizing
the classical Gauss map.


title:
Main-sequence progenitor configurations of the NN Ser candidate
  circumbinary planetary system are dynamically unstable

abstract:
  Recent observations of the NN Serpentis post-common envelope binary system
have revealed eclipse timing variations that have been attributed to the
presence of two Jovian-mass exoplanets. Under the assumption that these planets
are real and survived from the binary's Main Sequence state, we reconstruct
initial binaries that give rise to the present NN Ser configuration and test
the dynamical stability of the original system. Under standard assumptions
about binary evolution, we find that survival of the planets through the entire
Main Sequence life-time is very unlikely. Hence, we conclude that the planets
are not survivors from before the Common Envelope phase, implying that either
they formed recently out of material ejected from the primary, or that the
observed signals are of non-planetary origin.


title:
Approximation of Rectangular Beta-Laguerre Ensembles and Large
  Deviations

abstract:
  We investigate the random eigenvalues coming from the beta-Laguerre ensemble
with parameter p, which is a generalization of the real, complex and quaternion
Wishart matrices of parameter (n,p). In the case that the sample size n is much
smaller than the dimension of the population distribution p, a common situation
in modern data, we approximate the beta-Laguerre ensemble by a beta-Hermite
ensemble which is a generalization of the real, complex and quaternion Wigner
matrices. As corollaries, when n is much smaller than p, we show that the
largest and smallest eigenvalues of the complex Wishart matrix are
asymptotically independent; we obtain the limiting distribution of the
condition numbers as a sum of two i.i.d. random variables with a Tracy-Widom
distribution, which is much different from the exact square case that n=p by
Edelman (1988); we propose a test procedure for a spherical hypothesis test. By
the same approximation tool, we obtain the asymptotic distribution of the
smallest eigenvalue of the beta-Laguerre ensemble. In the second part of the
paper, under the assumption that n is much smaller than p in a certain scale,
we prove the large deviation principles for three basic statistics: the largest
eigenvalue, the smallest eigenvalue and the empirical distribution of
eigenvalues, where the last large deviation is derived by using a non-standard
method.


title: On Characterising Distributability

abstract:
  We formalise a general concept of distributed systems as sequential
components interacting asynchronously. We define a corresponding class of Petri
nets, called LSGA nets, and precisely characterise those system specifications
which can be implemented as LSGA nets up to branching ST-bisimilarity with
explicit divergence.


title:
Finitely Presented Monoids and Algebras defined by Permutation Relations
  of Abelian Type, II

abstract:
  The class of finitely presented algebras A over a field K with a set of
generators x_{1},...,x_{n} and defined by homogeneous relations of the form
x_{i_1}x_{i_2}...x_{i_l}=x_{sigma(i_1)}x_{sigma(i_2)}...x_{sigma(i_l)}, where l
geq 2 is a given integer and sigma runs through a subgroup H of Sym_n, is
considered. It is shown that the underlying monoid S_{n,l}(H)=
<x_1,x_2,...,x_n|x_{i_1}x_{i_2}...x_{i_l}=x_{sigma(i_1)}x_{sigma(i_2)}...x_{\sigma
(i_l)}, sigma in H, i_1,...,i_l in {1,...,n}> is cancellative if and only if H
is semiregular and abelian. In this case S_{n,l}(H) is a submonoid of its
universal group G. If, furthermore, H is transitive then the periodic elements
T(G) of G form a finite abelian subgroup, G is periodic-by-cyclic and it is a
central localization of S_{n,l}(H), and the Jacobson radical of the algebra A
is determined by the Jacobson radical of the group algebra K[T(G)]. Finally, it
is shown that if H is an arbitrary group that is transitive then K[S_{n,l}(H)]
is a Noetherian PI-algebra of Gelfand-Kirillov dimension one; if furthermore H
is abelian then often K[G] is a principal ideal ring. In case H is not
transitive then K[S_{n,l}(H)] is of exponential growth.


title: On the universality of I-Love-Q relations in magnetized neutron stars

abstract:
  Recently, general relations among the quadrupole moment (Q), the moment of
inertia (I), and the tidal deformability (Love number) of a neutron star were
shown to exist. They are nearly independent of the nuclear matter equation of
state and would be of great aid in extracting parameters from observed
gravitational-waves and in testing general relativity. These relations,
however, do not account for strong magnetic fields. We consider this problem by
studying the effect of a strong magnetic field on slowly rotating relativistic
neutron stars and show that, for simple magnetic field configurations that are
purely poloidal or purely toroidal, the relation between Q and I is again
nearly universal. However, different magnetic field geometries lead to
different I-Q relations, and, in the case of a more realistic twisted-torus
magnetic field configuration, the relation depends significantly on the
equation of state, losing its universality. I-Love-Q relations must thus be
used with very great care, since universality is lost for stars with long spin
periods, i.e. P > 10 s, and strong magnetic fields, i.e. B > 10^12 G.


title: Fundamental solutions of MHD Stokes flow

abstract:
  A simple analytical solution is obtained for the MHD stokeslet in a
homogeneous magnetic field. This solution represents the flow past a small
particle and can also be interpreted as the flow sufficiently far away from a
body of finite size. Fundamental solutions are found in terms of velocity,
pressure and scalar potential distributions for the flows due to either a
concentrated force or a current source. The former consists of two basic
solutions for the force parallel and transverse to the magnetic field,
respectively. All fundamental solutions have the characteristic length scale of
the Hartmann boundary layer and two parabolic wakes developing along the
magnetic field.


title: Asteroseismology of fast-rotating stars: the example of alpha Ophiuchi

abstract:
  Many early-type stars have been measured with high angular velocities. In
such stars, mode identification is difficult as the effects of fast and
differential rotation are not well known. Using fundamental parameters measured
by interferometry, the ESTER structure code and the TOP oscillation code, we
investigate the oscillation spectrum of Rasalhague (alpha Ophiuchi), for which
observations by the MOST satellite found 57 oscillations frequencies. Results
do not show a clear identification of the modes and highlight the difficulties
of asteroseismology for such stars with a very complex oscillation spectrum.


title: User-Relatedness and Community Structure in Social Interaction Networks

abstract:
  With social media and the according social and ubiquitous applications
finding their way into everyday life, there is a rapidly growing amount of user
generated content yielding explicit and implicit network structures. We
consider social activities and phenomena as proxies for user relatedness. Such
activities are represented in so-called social interaction networks or evidence
networks, with different degrees of explicitness. We focus on evidence networks
containing relations on users, which are represented by connections between
individual nodes. Explicit interaction networks are then created by specific
user actions, for example, when building a friend network. On the other hand,
more implicit networks capture user traces or evidences of user actions as
observed in Web portals, blogs, resource sharing systems, and many other social
services. These implicit networks can be applied for a broad range of analysis
methods instead of using expensive gold-standard information.
  In this paper, we analyze different properties of a set of networks in social
media. We show that there are dependencies and correlations between the
networks. These allow for drawing reciprocal conclusions concerning pairs of
networks, based on the assessment of structural correlations and ranking
interchangeability. Additionally, we show how these inter-network correlations
can be used for assessing the results of structural analysis techniques, e.g.,
community mining methods.


title: Nonminimal Einstein-Maxwell-Vlasov-axion model

abstract:
  We establish a new self-consistent system of equations accounting for a
nonminimal coupling of the cooperative gravitational, electromagnetic and
pseudoscalar (axion) fields in a multi-component relativistic plasma. The
axionic extension of the nonminimal Einstein-Maxwell-Vlasov theory is based on
two consistent procedures. First, we use the Lagrange formalism to obtain
nonminimal equations for the gravitational, electromagnetic and pseudoscalar
fields with the additional sources generated in plasma. Second, we use the
Vlasov version of the relativistic kinetic theory of the plasma, guided by the
cooperative macroscopic electromagnetic, gravitational and axionic fields, to
describe adequately the response of the plasma on the variations of these
fields. In order to show the self-consistency of this approach we check
directly the compatibility conditions for the master equations for the
cooperative fields. Using these compatibility conditions we reconstruct the
ponderomotive force, which acts on the plasma particles, and discuss the
necessary conditions for existence of the distribution function of the
equilibrium type.

categories: gr-qc astro-ph.HE hep-ph hep-th physics.plasm-ph


title:
Single-site-resolved measurement of the current statistics in optical
  lattices

abstract:
  At present, great effort is spent on the experimental realization of gauge
fields for quantum many-body systems in optical lattices. At the same time, the
single-site-resolved detection of individual atoms has become a new powerful
experimental tool. We discuss a protocol for the single-site resolved
measurement of the current statistics of quantum many-body systems, which makes
use of a bichromatic optical superlattice and single-site detection. We
illustrate the protocol by a numerical study of the current statistics for
interacting bosons in one and two dimensions and discuss the role of the
on-site interactions for the current pattern and the ground-state symmetry for
small two-dimensional lattices with artificial magnetic fields.


title:
Weak Lensing Calibrated M-T Scaling Relation of Galaxy Groups in the
  COSMOS Field

abstract:
  The scaling between X-ray observables and mass for galaxy clusters and groups
is instrumental for cluster based cosmology and an important probe for the
thermodynamics of the intracluster gas. We calibrate a scaling relation between
the weak lensing mass and X-ray spectroscopic temperature for 10 galaxy groups
in the COSMOS field, combined with 55 higher mass clusters from the literature.
The COSMOS data includes HST imaging and redshift measurements of 46 source
galaxies per square arcmin, enabling us to perform unique weak lensing
measurements of low mass systems. Our sample extends the mass range of the
lensing calibrated M-T relation an order of magnitude lower than any previous
study, resulting in a power-law slope of 1.48$^{+0.13}_{-0.09}$. The slope is
consistent with the self-similar model, predictions from simulations, and
observations of clusters. However, X-ray observations relying on mass
measurements derived under the assumption of hydrostatic equilibrium have
indicated that masses at group scales are lower than expected. Both simulations
and observations suggest that hydrostatic mass measurements can be biased low.
Our external weak lensing masses provides the first observational support for
hydrostatic mass bias at group level, showing an increasing bias with
decreasing temperature and reaching a level of 30-50% at 1 keV.


title: Weighing matrices and spherical codes

abstract:
  Mutually unbiased weighing matrices (MUWM) are closely related to an
antipodal spherical code with 4 angles. In the present paper, we clarify the
relationship between MUWM and the spherical sets, and give the complete
solution about the maximum size of a set of MUWM of weight 4 for any order.
Moreover we describe some natural generalization of a set of MUWM from the
viewpoint of spherical codes, and determine several maximum sizes of the
generalized sets. They include an affirmative answer of the problem of Best,
Kharaghani, and Ramp.


title: Syzygies of some GIT quotients

abstract:
  Let $X$ be flat scheme over $\mathbb{Z}$ such that its base change, $X_p$, to
$\bar{\mathbb{F}}_p$ is Frobenius split for all primes $p$. Let $G$ be a
reductive group scheme over $\mathbb{Z}$ acting on $X$. In this paper, we prove
a result on the $N_p$ property for line bundles on GIT quotients of
$X_{\mathbb{C}}$ for the action of $G_{\mathbb{C}}$. We apply our result to the
special cases of (1) an action of a finite group on the projective space and
(2) the action of a maximal torus on the flag variety of type $A_n$.


title: More Randomness from the Same Data

abstract:
  Correlations that cannot be reproduced with local variables certify the
generation of private randomness. Usually, the violation of a Bell inequality
is used to quantify the amount of randomness produced. Here, we show how
private randomness generated during a Bell test can be directly quantified from
the observed correlations, without the need to process these data into an
inequality. The frequency with which the different measurement settings are
used during the Bell test can also be taken into account. This improved
analysis turns out to be very relevant for Bell tests performed with a finite
collection efficiency. In particular, applying our technique to the data of a
recent experiment [Christensen et al., Phys. Rev. Lett. 111, 130406 (2013)], we
show that about twice as much randomness as previously reported can be
potentially extracted from this setup.


title: Multiple Hidden Markov Models for Categorical Time Series

abstract:
  We introduce multiple hidden Markov models (MHMMs) where an observed
multivariate categorical time series depends on an unobservable multivariate
Mar- kov chain. MHMMs provide an elegant framework for specifying various
independence relationships between multiple discrete time processes. These
independencies are interpreted as Markov properties of a mixed graph and a
chain graph associated to the latent and observable components of the MHMM,
respectively. These Markov properties are also translated into zero
restrictions on the parameters of marginal models for the transition
probabilities and the distributions of the observable variables given the
latent states.


title: On the packing measure of slices of self-similar sets

abstract:
  Let $K \subset \mathbb{R}^{2}$ be a rotation and reflection free self-similar
set satisfying the strong separation condition, with dimension $\dim K = s >
1$. Intersecting $K$ with translates of a fixed line, one can study the $(s -
1)$-dimensional Hausdorff and packing measures of the generic non-empty line
sections. In a recent article, T. Kempton gave a necessary and sufficient
condition for the Hausdorff measures of the sections to be positive. In this
paper, I consider the packing measures: it turns out that the generic section
has infinite $(s - 1)$-dimensional packing measure under relatively mild
assumptions.


title:
Optimizing second harmonic generation in a circular cylindrical
  waveguide with embedded periodically arranged tubelets of nonlinear
  susceptibility

abstract:
  Optical second-harmonic generation (SHG) is studied for the confined geometry
of a circular cylindrical waveguide or optical fiber. A model situation of high
symmetry is considered where the material with nonlinear susceptibility is
isotropic and distributed in radially symmetric manner about the axis. In
addition it is assumed that the material of high second-order nonlinearity
consists of a thin circular layer, with periodic variation in the axial
direction - similar to a usual quasi-phasematched configuration. One can
optimize the efficiency of SHG by choosing the period of the array such that a
Bragg condition is satisfied. Depletion is studied in the framework of
mode-coupling theory. ?


title:
Low temperature asymptotics for Quasi-Stationary Distributions in a
  bounded domain

abstract:
  We analyze the low temperature asymptotics of the quasi-stationary
distribution associated with the overdamped Langevin dynamics (a.k.a. the
Einstein-Smoluchowski diffusion equation) in a bounded domain. This analysis is
useful to rigorously prove the consistency of an algorithm used in molecular
dynamics (the hyperdynamics), in the small temperature regime. More precisely,
we show that the algorithm is exact in terms of state-to-state dynamics up to
exponentially small factor in the limit of small temperature. The proof is
based on the asymptotic spectral analysis of associated Dirichlet and Neumann
realizations of Witten Laplacians. In order to cover a reasonably large range
of applications, the usual assumptions that the energy landscape is a Morse
function has been relaxed as much as possible.


title: Two-radii theorem for solutions of some mean value equations

abstract:
  A description of solutions of some integral equations has been obtained. A
two-radii theorem is obtained as well.


title: Wave-packet dynamics for a coupled Gross-Pitaevskii equation

abstract:
  Starting from coupled Gross-Pitaevskii equation (GPE) describing the dynamics
of binary Bose Einstein Condensate (BEC), we have explored the dynamics of the
width of initial wave-packets by following two different approaches. We have
followed a recent coherent state based approach and have shown that in binary
BEC the oscillation of the width of the wave packet can give rise to
instability at a certain condition. Alternately we have proceeded by
considering the trial ground state solutions for both the species and through
the Ehrenfest theorem shown the existence of an instability which may lead to
phase separation of the two species.


title:
A new design criterion for spherically-shaped division algebra-based
  space-time codes

abstract:
  This work considers normalized inverse determinant sums as a tool for
analyzing the performance of division algebra based space-time codes for
multiple antenna wireless systems. A general union bound based code design
criterion is obtained as a main result. In our previous work, the behavior of
inverse determinant sums was analyzed using point counting techniques for Lie
groups; it was shown that the asymptotic growth exponents of these sums
correctly describe the diversity-multiplexing gain trade-off of the space-time
code for some multiplexing gain ranges. This paper focuses on the constant
terms of the inverse determinant sums, which capture the coding gain behavior.
Pursuing the Lie group approach, a tighter asymptotic bound is derived,
allowing to compute the constant terms for several classes of space-time codes
appearing in the literature. The resulting design criterion suggests that the
performance of division algebra based codes depends on several fundamental
algebraic invariants of the underlying algebra.


title: Partial breaking of global supersymmetry and super particle actions

abstract:
  We argue the conjecture that the on-shell component super particle actions
have a universal form, in which the physical fermions enter the action through
the ein-bein and the space-time derivatives of the matter fields, only. We
explicitly constructed the actions for the super particles in $D=3$ realizing
the $N=4\cdot 2^{k} \rightarrow N=2\cdot 2^k$ pattern of supersymmetry
breaking, and in $D=5$ with the $N=16$ supersymmetry broken down to the $N=8$
one. All constructed actions have indeed a universal form, confirming our
conjecture. Our construction is strictly based on the assumption that in the
system we have one half breaking of the global supersymmetry, and on the very
special choice of the superspace coordinates and component fields.


title: On Some New Generalized Difference Sequence Spaces of Non-Absolute Type

abstract:
  In this study, we define a new triangle matrix
$\hat{W}=\{w_{nk}^{\lambda}(r,s,t)\}$ which derived by using multiplication of
$\lambda=(\lambda_{nk})$ triangle matrix with $B(r,s,t)$ triple band matrix.
Also, we introduce the sequence spaces
$c_{0}^{\lambda}(\hat{B}),c^{\lambda}(\hat{B}),\ell_{\infty}^{\lambda}(\hat{B})$
and $\ell_{p}^{\lambda}(\hat{B})$ by using matrix domain of this matrix on the
sequence spaces $c_{0},c,\ell_{\infty}$ and $\ell_{p}$ of the matrix $\hat{W}$,
respectively. Moreover, we show that norm isomorphic to the spaces
$c_{0},c,\ell_{\infty}$ and $\ell_{p}$, respectively. Furthermore, we establish
some inclusion relations concerning with those spaces and determine
$\alpha-,\beta-\gamma-$ duals of those spaces and construct their Schauder
basis. Finally, we characterize the classes
$(\mu_{1}^{\lambda}(\hat{B}):\mu_{2})$ of infinite matrices, where
$\mu_{1}\in\{c,c_{0},\ell_{p}\}$ and
$\mu_{2}\in\{\ell_{\infty},c,c_{0},\ell_{p}\}$.


title: Knapp-Stein type intertwining operators for symmetric pairs

abstract:
  For a symmetric pair $(G,H)$ of reductive groups we construct a family of
intertwining operators between spherical principal series representations of
$G$ and $H$ that are induced from parabolic subgroups satisfying certain
compatibility conditions. The operators are given explicitly in terms of their
integral kernels and we prove convergence of the integrals for an open set of
parameters and meromorphic continuation. We further discuss uniqueness of
intertwining operators, and for the rank one cases $$
(G,H)=(SU(1,n;\mathbb{F}),S(U(1,m;\mathbb{F})\times U(n-m;\mathbb{F}))), \qquad
\mathbb{F}=\mathbb{R},\mathbb{C},\mathbb{H},\mathbb{O}, $$ and for the pair $$
(G,H)=(GL(4n,\mathbb{R}),GL(2n,\mathbb{C})) $$ we show that for a certain
choice of maximal parabolic subgroups our operators generically span the space
of intertwiners.


title: Freely-moving observer in (quasi) anti de Sitter space

abstract:
  A quantum scalar field in anti de Sitter space is considered in two
coordinate systems: static and FRW-like ones. It is shown that quantum vacua
corresponding to each of these coordinatizations are not unitary equivalent. A
choice of a physical ground state between these vacua is discussed under
different setups.


title:
Controlling the Electronic Properties of Nanodiamonds Via Surface
  Chemical Functionalization: A DFT Study

abstract:
  The electronic properties of chemically functionalized nanodiamonds are
studied using density functional theory calculations. HOMO-LUMO gap and
relative stabilities are calculated for different surface functionalization
schemes and diamond nanocrystal morphologies. The effects of chemical
decoration on the size and nature of the HOMO-LUMO gap of the various systems
considered are discussed in detail. We conclude that surface chemical
functionalization has the potential to become an accessible route for
controlling the electronic properties of nanodiamonds.

categories: cond-mat.mtrl-sci cond-mat.mes-hall physics.chem-ph physics.comp-ph


title: Isospinning baby Skyrmion solutions

abstract:
  We perform full two-dimensional (2D) numerical relaxations of isospinning
soliton solutions in the baby Skyrme model in which the global $O(3)$ symmetry
is broken by the 2D analogue of the pion mass term in the Skyrme model. In our
calculations we explicitely allow the isospinning solitons to deform and to
break the symmetries of the static configurations. We find that stable
isospinning baby Skyrme solutions can be constructed numerically for all
angular frequencies $\omega\le \text{min}(\mu,1)$, where $\mu$ is the mass
parameter of the model. Stable, rotationally-symmetric baby Skyrmion solutions
for higher angular velocities are simply an artefact of the hedgehog
approximation. Isospinning multisoliton solutions of topological charge $B$
turn out to be unstable to break up into their $B$ charge-1 constituents at
some critical breakup frequency value. Furthermore, we find that for $\mu$
sufficiently large the rotational symmetry of charge-2 baby Skyrmions becomes
broken at a critical angular frequency $\omega$.


title: Exploring Image Virality in Google Plus

abstract:
  Reactions to posts in an online social network show different dynamics
depending on several textual features of the corresponding content. Do similar
dynamics exist when images are posted? Exploiting a novel dataset of posts,
gathered from the most popular Google+ users, we try to give an answer to such
a question. We describe several virality phenomena that emerge when taking into
account visual characteristics of images (such as orientation, mean saturation,
etc.). We also provide hypotheses and potential explanations for the dynamics
behind them, and include cases for which common-sense expectations do not hold
true in our experiments.


title: Quiescent thermal emission from neutron stars in LMXBs

abstract:
  We monitored the quiescent thermal emission from neutron stars in low-mass
X-ray binaries after active periods of intense activity in x-rays (outbursts).
The theoretical modeling of the thermal relaxation of the neutron star crust
may be used to establish constraints on the crust composition and transport
properties, depending on the astrophysical scenarios assumed. We numerically
simulated the thermal evolution of the neutron star crust and compared them
with inferred surface temperatures for five sources: MXB 1659-29, KS 1731-260,
EXO 0748-676, XTE J1701-462 and IGR J17480-2446. We find that the evolution of
MXB 1659-29, KS 1731-260 and EXO 0748-676 can be well described within a deep
crustal cooling scenario. Conversely, we find that the other two sources can
only be explained with models beyond crustal cooling. For the peculiar emission
of XTE J1701-462 we propose alternative scenarios such as residual accretion
during quiescence, additional heat sources in the outer crust, and/or thermal
isolation of the inner crust due to a buried magnetic field. We also explain
the very recent reported temperature of IGR J17480-2446 with an additional heat
deposition in the outer crust from shallow sources.


title: Robustness analysis of finite precision implementations

abstract:
  A desirable property of control systems is to be robust to inputs, that is
small perturbations of the inputs of a system will cause only small
perturbations on its outputs. But it is not clear whether this property is
maintained at the implementation level, when two close inputs can lead to very
different execution paths. The problem becomes particularly crucial when
considering finite precision implementations, where any elementary computation
can be affected by a small error. In this context, almost every test is
potentially unstable, that is, for a given input, the computed (finite
precision) path may differ from the ideal (same computation in real numbers)
path. Still, state-of-the-art error analyses do not consider this possibility
and rely on the stable test hypothesis, that control flows are identical. If
there is a discontinuity between the treatments in the two branches, that is
the conditional block is not robust to uncertainties, the error bounds can be
unsound.
  We propose here a new abstract-interpretation based error analysis of finite
precision implementations, which is sound in presence of unstable tests. It
automatically bounds the discontinuity error coming from the difference between
the float and real values when there is a path divergence, and introduces a new
error term labeled by the test that introduced this potential discontinuity.
This gives a tractable error analysis, implemented in our static analyzer
FLUCTUAT: we present results on representative extracts of control programs.


title:
Two-component Dirac-like Hamiltonian for generating quantum walk on
  one-, two- and three-dimensional lattices

abstract:
  From the unitary operator used for implementing two-state discrete-time
quantum walk on one-, two- and three- dimensional lattice we obtain a
two-component Dirac-like Hamiltonian. In particular, using different pairs of
Pauli basis as position translation states we obtain three different form of
Hamiltonians for evolution on one-dimensional lattice. We extend this to two-
and three-dimensional lattices using different Pauli basis states as position
translation states for each dimension and show that the external coin
operation, which is necessary for one-dimensional walk is not a necessary
requirement for a walk on higher dimensions but can serve as an additional
resource to control the dynamics. The two-component Hamiltonian we present here
for quantum walk on different lattices can serve as a general framework to
simulate, control, and study the dynamics of quantum systems governed by
Dirac-like Hamiltonian.


title: Asymptotics for regression models under loss of identifiability

abstract:
  This paper discusses the asymptotic behavior of regression models under
general conditions. First, we give a general inequality for the difference of
the sum of square errors (SSE) of the estimated regression model and the SSE of
the theoretical best regression function in our model. A set of generalized
derivative functions is a key tool in deriving such inequality. Under suitable
Donsker condition for this set, we give the asymptotic distribution for the
difference of SSE. We show how to get this Donsker property for parametric
models even if the parameters characterizing the best regression function are
not unique. This result is applied to neural networks regression models with
redundant hidden units when loss of identifiability occurs.


title:
Exclusive central diffractive production of scalar and pseudoscalar
  mesons; tensorial vs. vectorial pomeron

abstract:
  We discuss consequences of the models of "tensorial pomeron" and "vectorial
pomeron" for exclusive diffractive production of scalar and pseudoscalar mesons
in proton-proton collisions. Diffractive production of $f_{0}(980)$,
$f_{0}(1370)$, $f_{0}(1500)$, $\eta$, and $\eta'(958)$ mesons is discussed.
Different pomeron-pomeron-meson tensorial coupling structures are possible in
general. In most cases two lowest orbital angular momentum - spin couplings are
necessary to describe experimental differential distributions. For $f_{0}(980)$
and $\eta$ production reggeon-pomeron, pomeron-reggeon, and reggeon-reggeon
exchanges are included in addition, which seems to be necessary at relatively
low energies. The theoretical results are compared with the WA102 experimental
data. Correlations in azimuthal angle between outgoing protons, distributions
in rapidities and transverse momenta of outgoing protons and mesons, in a
special "glueball filter variable", as well as some two-dimensional
distributions are presented. We discuss differences between results of the
vectorial and tensorial pomeron models. We show that high-energy central
production, in particular of pseudoscalar mesons, could provide crucial
information on the spin structure of the soft pomeron.


title: SafeJS: Hermetic Sandboxing for JavaScript

abstract:
  Isolating programs is an important mechanism to support more secure
applications. Isolating program in dynamic languages such as JavaScript is even
more challenging since reflective operations can circumvent simple mechanisms
that could protect program parts. In this article we present SafeJS, an
approach and implementation that offers isolation based on separate sandboxes
and control of information exchanged between them. In SafeJS, sandboxes based
on web workers do not share any data. Data exchanged between sandboxes is
solely based on strings. Using different policies, this infrastructure supports
the isolation of the different scripts that usually populate web pages. A
foreign component cannot modify the main DOM tree in unexpected manner. Our
SafeJS implementation is currently being used in an industrial setting in the
context of the Resilience FUI 12 project.


title: A new versatile in-process monitoring system for milling

abstract:
  Tool condition monitoring (TCM) systems can improve productivity and ensure
workpiece quality, yet, there is a lack of reliable TCM solutions for
small-batch or one-off manufacturing of industrial parts. TCM methods which
include the characteristics of the cut seem to be particularly suitable for
these demanding applications. In the first section of this paper, three
process-based indicators have been retrieved from literature dealing with TCM.
They are analysed using a cutting force model and experiments are carried out
in industrial conditions. Specific transient cuttings encountered during the
machining of the test part reveal the indicators to be unreliable.
Consequently, in the second section, a versatile in-process monitoring method
is suggested. Based on experiments carried out under a range of different
cutting conditions, an adequate indicator is proposed: the relative radial
eccentricity of the cutters is estimated at each instant and characterizes the
tool state. It is then compared with the previous tool state in order to detect
cutter breakage or chipping. Lastly, the new approach is shown to be reliable
when implemented during the machining of the test part.


title: Duality and stationary distributions of wealth distribution models

abstract:
  We analyze a class of energy and wealth redistribution models. We
characterize their stationary measures and show that they have a discrete dual
process. In particular we show that the wealth distribution model with non-zero
propensity can never have invariant product measures. We also introduce
diffusion processes associated to the wealth distribution models by
"instantaneous thermalization".


title:
Strategic Planning in Air Traffic Control as a Multi-objective
  Stochastic Optimization Problem

abstract:
  With the objective of handling the airspace sector congestion subject to
continuously growing air traffic, we suggest to create a collaborative working
plan during the strategic phase of air traffic control. The plan obtained via a
new decision support tool presented in this article consists in a schedule for
controllers, which specifies time of overflight on the different waypoints of
the flight plans. In order to do it, we believe that the decision-support tool
shall model directly the uncertainty at a trajectory level in order to
propagate the uncertainty to the sector level. Then, the probability of
congestion for any sector in the airspace can be computed. Since air traffic
regulations and sector congestion are antagonist, we designed and implemented a
multi-objective optimization algorithm for determining the best trade-off
between these two criteria. The solution comes up as a set of alternatives for
the multi-sector planner where the severity of the congestion cost is
adjustable. In this paper, the Non-dominated Sorting Genetic Algorithm
(NSGA-II) was used to solve an artificial benchmark problem involving 24
aircraft and 11 sectors, and is able to provide a good approximation of the
Pareto front.


title: Agmon-type estimates for a class of jump processes

abstract:
  In the limit epsilon to 0 we analyze the generators H_epsilon of families of
reversible jump processes in R^d associated with a class of symmetric non-local
Dirichlet-forms and show exponential decay of the eigenfunctions. The
exponential rate function is a Finsler distance, given as solution of a certain
eikonal equation. Fine results are sensitive to the rate function being C^2 or
just Lipschitz. Our estimates are analog to the semi-classical Agmon estimates
for differential operators of second order. They generalize and strengthen
previous results on the lattice epsilon Z^d. Although our final interest is in
the (sub)stochastic jump process, technically this is a pure analysis paper,
inspired by PDE techniques.


title: Environmental Bisimulations for Delimited-Control Operators

abstract:
  We present a theory of environmental bisimilarity for the delimited-control
operators {\it shift} and {\it reset}. We consider two different notions of
contextual equivalence: one that does not require the presence of a top-level
control delimiter when executing tested terms, and another one, fully
compatible with the original CPS semantics of shift and reset, that does. For
each of them, we develop sound and complete environmental bisimilarities, and
we discuss up-to techniques.


title:
The algebra of generating functions for multiple divisor sums and
  applications to multiple zeta values

abstract:
  We study the algebra MD of generating function for multiple divisor sums and
its connections to multiple zeta values. The generating functions for multiple
divisor sums are formal power series in q with coefficients in Q arising from
the calculation of the Fourier expansion of multiple Eisenstein series. We show
that the algebra MD is a filtered algebra equipped with a derivation and use
this derivation to prove linear relations in MD. The (quasi-)modular forms for
the full modular group Sl_2(Z) constitute a sub-algebra of MD this also yields
linear relations in MD. Generating functions of multiple divisor sums can be
seen as a q-analogue of multiple zeta values. Studying a certain map from this
algebra into the real numbers we will derive a new explanation for relations
between multiple zeta values, including those in length 2, coming from modular
forms.


title:
Computational Methods for Probabilistic Inference of Sector Congestion
  in Air Traffic Management

abstract:
  This article addresses the issue of computing the expected cost functions
from a probabilistic model of the air traffic flow and capacity management. The
Clenshaw-Curtis quadrature is compared to Monte-Carlo algorithms defined
specifically for this problem. By tailoring the algorithms to this model, we
reduce the computational burden in order to simulate real instances. The study
shows that the Monte-Carlo algorithm is more sensible to the amount of
uncertainty in the system, but has the advantage to return a result with the
associated accuracy on demand. The performances for both approaches are
comparable for the computation of the expected cost of delay and the expected
cost of congestion. Finally, this study shows some evidences that the
simulation of the proposed probabilistic model is tractable for realistic
instances.


title:
Mid- to far infrared properties of star-forming galaxies and active
  galactic nuclei

abstract:
  We study the mid- to far-IR properties of a 24um-selected flux-limited sample
(S24 > 5mJy) of 154 intermediate redshift (<z>~0.15), infrared luminous
galaxies, drawn from the 5MUSES survey. By combining existing mid-IR
spectroscopy and new Herschel SPIRE submm photometry from the HerMES program,
we derived robust total infrared luminosity (LIR) and dust mass (Md) estimates
and infered the relative contribution of the AGN to the infrared energy budget
of the sources. We found that the total infrared emission of galaxies with weak
6.2um PAH emission (EW<0.2um) is dominated by AGN activity, while for galaxies
with EW>0.2um more than 50% of the LIR arises from star formation. We also
found that for galaxies detected in the 250-500um Herschel bands an AGN has a
statistically insignificant effect on the temperature of the cold dust and the
far-IR colours of the host galaxy, which are primarily shaped by star formation
activity. For star-forming galaxies we reveal an anti-correlation between the
LIR-to-rest-frame 8um luminosity ratio, IR8 = LIR\L8, and the strength of PAH
features. We found that this anti-correlation is primarily driven by variations
in the PAHs emission, and not by variations in the 5-15um mid-IR continuum
emission. Using the [NeIII]/[NeII] line ratio as a tracer of the hardness of
the radiation field, we confirm that galaxies with harder radiation fields tend
to exhibit weaker PAH features, and found that they have higher IR8 values and
higher dust-mass-weighted luminosities (LIR/Md), the latter being a proxy for
the dust temperature (Td). We argue that these trends originate either from
variations in the environment of the star-forming regions or are caused by
variations in the age of the starburst. Finally, we provide scaling relations
that will allow estimating LIR, based on single-band observations with the
mid-infrared instrument, on board the upcoming JWST.


title:
Quantum Metropolitan Optical Network based on Wavelength Division
  Multiplexing

abstract:
  Quantum Key Distribution (QKD) is maturing quickly. However, the current
approaches to its application in optical networks make it an expensive
technology. QKD networks deployed to date are designed as a collection of
point-to-point, dedicated QKD links where non-neighboring nodes communicate
using the trusted repeater paradigm. We propose a novel optical network model
in which QKD systems share the communication infrastructure by wavelength
multiplexing their quantum and classical signals. The routing is done using
optical components within a metropolitan area which allows for a dynamically
any-to-any communication scheme. Moreover, it resembles a commercial telecom
network, takes advantage of existing infrastructure and utilizes commercial
components, allowing for an easy, cost-effective and reliable deployment.


title: Two-atom system as a nano-antenna for mode switching and light routing

abstract:
  We determine how a system composed of two nonidentical two-level atoms with
different resonance frequencies and different damping rates could work as a
nano-antenna for controlled mode switching and light routing. We calculate the
angular distribution of the emitted field detected in a far-field zone of the
system including the direct interatomic interactions and arbitrary linear
dimensions of the system. The calculation is carried out in terms of the
symmetric and antisymmetric modes of the two atom system. We find that as long
as the atoms are identical, the emission cannot be switched between the
symmetric and antisymmetric modes. The switching may occur when the atoms are
non-identical and the emission can then be routed to different modes by
changing the relative ratio of the atomic frequencies, or damping rates or by a
proper tuning of the laser frequency to the atomic resonance frequencies. It is
shown that in the case of atoms of different resonance frequencies but equal
damping rates, the light routing is independent of the frequency of the driving
laser field. It depends only on the sign of the detuning between the atomic
resonance frequencies. In the case of atoms of different damping rates, the
emission can be switched between different modes by changing the laser
frequency from the blue to red detuned from the atomic resonance. The effect of
the interatomic interactions is also considered and it is found that in the
case of unequal resonance frequencies of the atoms, the interactions slightly
modify the visibility of the intensity pattern. The case of unequal damping
rates of the atoms is affected rather more drastically, the light routing
becoming asymmetric under the dipole-dipole interaction with the enhanced
intensities of the modes turned towards the atom of smaller damping rate.


title:
Ejecting the envelope of red supergiant stars with jets launched by an
  inspiraling neutron star

abstract:
  We study the properties of jets launched by a neutron star spiralling inside
the envelope and core of a red supergiant. We propose that Thorne-Zytkow
objects (TZO) are unlikely to be formed via common envelope (CE) evolution if
accretion on to the neutron star can exceed the Eddington rate with much of the
accretion energy directed into jets that subsequently dissipate within the
giant envelope. We use the jet-feedback mechanism, where energy deposited by
the jets drives the ejection of the entire envelope and part of the core, and
find a very strong interaction of the jets with the core material at late
phases of the CE evolution. Following our results we speculate on two rare
processes that might take place in the evolution of massive stars. (1) Recent
studies have claimed that the peculiar abundances of the HV2112 RSG star can be
explained if this star is a TZO. We instead speculate that the rich-calcium
envelope comes from a supernova explosion of a stellar companion that was only
slightly more massive than HV2112, such that during its explosion HV2112 was
already a giant that intercepted a relatively large fraction of the SN ejecta.
(2) We raise the possibility that strong r-process nucleosynthesis, where
elements with high atomic weight of $A \ga 130$ are formed, occurs inside the
jets that are launched by the NS inside the core of the RSG star.


title:
A positivity preserving inexact Noda iteration for computing the
  smallest eigenpair of a large irreducible M-matrix

abstract:
  In this paper, based on the Noda iteration, we present inexact Noda
iterations (INI), to find the smallest eigenvalue and the associated positive
eigenvector of a large irreducible nonsingular M-matrix. The positivity of
approximations is critical in applications, and if the approximations lose the
positivity then they will be physically meaningless. We propose two different
inner tolerance strategies for solving the inner linear systems involved, and
prove that the resulting INI algorithms are globally linear and superlinear
with the convergence order $\frac{1+\sqrt{5}}{2}$, respectively. The proposed
INI algorithms are structure preserving and maintains the positivity of
approximate eigenvectors. We also revisit the exact Noda iteration and
establish a new quadratic convergence result. All the above is first done for
the problem of computing the Perron root and the positive Perron vector of an
irreducible nonnegative matrix and then adapted to that of computing the
smallest eigenpair of the irreducible nonsingular M-matrix. Numerical examples
illustrate that the proposed INI algorithms are practical, and they always
preserve the positivity of approximate eigenvectors. We compare them with the
positivity non-preserving Jacobi--Davidson method and implicitly restarted
Arnoldi method, which often compute physically meaningless eigenvectors, and
illustrate that the overall efficiency of the INI algorithms is competitive
with and can be considerably higher than the latter two methods.


title: Radiation from a semi-infinite unflanged planar dielectric waveguide

abstract:
  Radiative emission from an open-ended unflanged planar dielectric waveguide
is studied for the case of TM polarization on the basis of an iterative scheme.
The first step of the scheme leads to approximate values for the reflection
coefficients and electromagnetic fields inside and outside the waveguide. It is
shown that for the related problems of reflection from a step potential in
one-dimensional quantum mechanics and of Fresnel reflection of an
electromagnetic plane wave from a half-space the iterative scheme is in
accordance with the exact solution.


title:
A CPT-even Lorentz-violating nonminimal coupling between fermions and
  photons

abstract:
  We propose a CPT-even and Lorentz-violating dimension-five nonminimal
coupling between fermionic and gauge fields, involving the CPT-even and
Lorentz-violating gauge tensor of the Standard-Model Extension. This nonminimal
coupling modifies the nonrelativistic regime of Dirac particles, inducing new
effects such as an electric-Zeeman-like spectrum splitting and an
anomalous-like contribution to the electron magnetic moment. These new effects
allow to constrain the magnitude of this nonminimal coupling in 1 part in
$10^{16}.$


title:
A favorably-scaling natural-orbital functional theory based on
  higher-order occupation probabilities

abstract:
  We introduce a novel energy functional for ground-state electronic-structure
calculations. Its fundamental variables are the natural spin-orbitals of the
implied singlet many-body wave function and their joint occupation
probabilities. The functional derives from a sequence of controlled
approximations to the two-particle density matrix. Algebraic scaling of
computational cost with electron number is obtainable in general, and
Hartree-Fock scaling in the seniority-zero version of the theory. Results
obtained with the latter version for saturated small molecular systems are
compared with those of highly-accurate quantum-chemical computations. The
numerical results are variational, capturing most of the correlation energy
from equilibrium to dissociation. Their accuracy is considerably greater than
that obtainable with current density-functional theory approximations and with
current functionals of the one-particle density matrix only.


title:
Using complete measurement statistics for optimal device-independent
  randomness evaluation

abstract:
  The majority of recent works investigating the link between non-locality and
randomness, e.g. in the context of device-independent cryptography, do so with
respect to some specific Bell inequality, usually the CHSH inequality. However,
the joint probabilities characterizing the measurement outcomes of a Bell test
are richer than just the degree of violation of a single Bell inequality. In
this work we show how to take this extra information into account in a
systematic manner in order to optimally evaluate the randomness that can be
certified from non-local correlations. We further show that taking into account
the complete set of outcome probabilities is equivalent to optimizing over all
possible Bell inequalities, thereby allowing us to determine the optimal Bell
inequality for certifying the maximal amount of randomness from a given set of
non-local correlations.


title: Statistical measures and the Klein tunneling in single-layer graphene

abstract:
  Statistical complexity and Fisher-Shannon information are calculated in a
problem of quantum scattering, namely the Klein tunneling across a potential
barrier in graphene. The treatment of electron wave functions as masless Dirac
fermions allows us to compute these statistical measures. The comparison of
these magnitudes with the transmission coefficient through the barrier is
performed. We show that these statistical measures take their minimum values in
the situations of total transparency through the barrier, a phenomenon highly
anisotropic for the Klein tunneling in graphene.


title: Exclusive event generator for $e^+e^-$ scan experiments

abstract:
  An exclusive event generator is designed for the $e^+e^-$ scan experiments
with the initial state radiation effects up to the second order correction
included. There are seventy hadronic decay modes available with the effective
center-of-mass energy coverage from the two pion mass threshold up to about 6
GeV. The achieved accuracy of initial state radiation correction reaches the
level the generator KKMC achieved. The uncertainty associated with the
calculation of correction factor to the initial state radiation is dominated by
the measurements of the energy-dependence Born cross section. The generator is
coded within the framework of BesEvtGen.


title:
X-ray monitoring of the radio and gamma-ray loud Narrow-Line Seyfert 1
  Galaxy PKS 2004-447

abstract:
  We present preliminary results of the X-ray analysis of XMM-Newton and Swift
observations as part of a multi-wavelength monitoring campaign in 2012 of the
radio-loud narrow line Seyfert 1 galaxy PKS 2004-447. The source was recently
detected in gamma-rays by Fermi/LAT among only four other galaxies of that
type. The 0.5-10 keV X-ray spectrum is well-described by a simple absorbed
powerlaw (photon index ~ 1.6). The source brightness exhibits variability on
timescales of months to years with indications for spectral variability, which
follows a 'bluer-when-brighter' behaviour, similar to blazars.


title:
On the fundamental theorem of $(p,q)$-calculus and some $(p,q)$-Taylor
  formulas

abstract:
  In this paper, the $(p,q)$-derivative and the $(p,q)$-integration are
investigated. Two suitable polynomials bases for the $(p,q)$-derivative are
provided and various properties of these bases are given. As application, two
$(p,q)$-Taylor formulas for polynomials are given, the fundamental theorem of
$(p,q)$-calculus is included and the formula of $(p,q)$-integration by part is
proved.


title: Combinatorial Nullstellensatz Approach to Polynomial Expanding

abstract:
  Applying techniques similar to Combinatorial Nullstellensatz we prove a lower
estimate of $|f(A,B)|$ for finite subsets $A$, $B$ of a field, and polynomial
$f(x,y)$ of the form $f(x,y)=g(x)+yh(x)$, where degree of $g$ is greater then
degree of $h$.


title: A new proof of Andrews' conjecture for $_4\phi_3$-series

abstract:
  In terms of Sear's transformation formula for $_4\phi_3$-series, we give new
proofs of a summation formula for ${_4\phi_3}$-series due to Andrews [2] and
another summation formula for${_4\phi_3}$-series conjectured in the same paper.
Meanwhile, other several related results are also derived.


title: Transport properties of rippled graphene

abstract:
  The exceptionally high mobility of carriers in graphene is one of its
defining characteristics, especially in view of potential applications.
Therefore it is of both practical and fundamental importance to understand the
mechanisms responsible for limiting the values of mobility. The aim of the
paper is to study theoretically one such mechanism, i.e. scattering on ripples.
The transport properties of rippled graphene are studied using using
single-band tight-binding model. Both the bond-length variation, corresponding
to the vector potential in the effective mass picture, and fluctuating scalar
potential are included in the formalism. The samples are modeled as
self-similar surfaces characterized by the roughness exponent with values
ranging from typical for graphene on SiO$_{2}$ to seen in suspended samples.
The range of calculated resistivities and mobilities overlaps with experiment.
The results presented here support the notion of rippling as one of the factors
limiting the mobility.


title: Models of Cohen measurability

abstract:
  We show that in contrast with the Cohen version of Solovay's model, it is
consistent for the continuum to be Cohen-measurable and for every function to
be continuous on a non-meagre set.


title: On the algebraic structure of isotropic generalized elasticity theories

abstract:
  In this paper the algebraic structure of the isotropic nth-order gradient
elasticity is investigated. In the classical isotropic elasticity it is
well-known that the constitutive relation can be broken down into two uncoupled
relations between elementary part of the strain and the stress tensors
(deviatoric and spherical). In this paper we demonstrate that this result can
not be generalized and since 2nd-order isotropic elasticity there exist
couplings between elementary parts of higher-order strain and stress tensors.
Therefore, and in certain way, nth-order isotropic elasticity have the same
kind of algebraic structure as anisotropic classical elasticity. This structure
is investigated in the case of 2nd-order isotropic elasticity, and moduli
characterizing the behavior are provided.


title:
The convergence Newton polygon of a $p$-adic differential equation IV :
  local and global index theorems

abstract:
  Let $X$ be a quasi-smooth Berkovich curve over a field of characteristic $0$
and let $\mathscr{F}$ be a locally free $\mathscr{O}_{X}$-module with
connection. In this paper, we prove local and global criteria to ensure the
finite-dimensionality of the de Rham cohomology of $\mathscr{F}$. Moreover, we
state a global Grothendieck-Ogg-Shafarevich formula that relates the index of
$\mathscr{F}$ in the sense of de Rham cohomology to the Euler characteristic of
$X$ and expresses the difference as a sum of irregularities. We also derive
super-harmonicity results for the partial heights of the convergence Newton
polygon of $\mathscr{F}$.


title:
The escape transition of a compressed star polymer: Self-consistent
  field predictions tested by simulation

abstract:
  The escape transition of a polymer "mushroom" (a flexible chain grafted to a
flat non-adsorbing substrate surface in a good solvent) occurs when the polymer
is compressed by a cylindrical piston of radius $R$, that by far exceeds the
chain gyration radius. At this transition, the chain conformation abruptly
changes from a two-dimensional self-avoiding walk of blobs (of diameter $H$,
the height of the piston above the substrate) to a "flower conformation", i.e.
stretched almost one-dimensional string of blobs (with end-to-end distance
$\approx R$) and an "escaped" part of the chain, the "crown", outside the
piston. The extension of this problem to the case of star polymers with $f$
arms is considered, assuming that the center of the star is grafted to the
substrate. The question is considered whether under compression the arms escape
all together, or whether there occurs an arm by arm escape under increasing
compression. Both self-consistent field calculations and Molecular Dynamics
simulations are found to favor the latter scenario.


title: Spectrality of Self-Similar Tiles

abstract:
  We call a set $K \subset {\mathbb R}^s$ with positive Lebesgue measure a {\it
spectral set} if $L^2(K)$ admits an exponential orthonormal basis. It was
conjectured that $K$ is a spectral set if and only if $K$ is a tile (Fuglede's
conjecture). Despite the conjecture was proved to be false on ${\mathbb R}^s$,
$s\geq 3$ ([T], [KM2]), it still poses challenging questions with additional
assumptions. In this paper, our additional assumption is self-similarity. We
study the spectral properties for the class of self-similar tiles $K$ in
${\mathbb R}$ that has a product structure on the associated digit sets. We
show that any strict product-form tiles and the associated modulo product-form
tiles are spectral sets. As for the converse question, we give a pilot study
for the self-similar set $K$ generated by arbitrary digit sets with four
elements. We investigate the zeros of its Fourier transform due to the
orthogonality, and verify Fuglede's conjecture for this special case.


title: Pseudo-Random Circuits from Clifford Plus T-Gates

abstract:
  We explore the implementation of pseudo-random single-qubit rotations and
multi-qubit pseudo-random circuits constructed only from Clifford gates and the
T-gate, a phase rotation of pi/4. Such a gate set would be appropriate for
computations performed in a fault tolerant setting. For single-qubit rotations
the distribution of parameters found for unitaries constructed from Clifford
plus T quickly approaches that of random rotations and require significantly
fewer gates than the construction of arbitrary single-qubit rotations. For
Clifford plus T pseudo-random circuits we find an exponential convergence to a
random matrix element distribution and a Gaussian convergence to the higher
order moments of the matrix element distribution. These convergence rates are
insensitive to the number of qubits.


title:
A Review of Financial Accounting Fraud Detection based on Data Mining
  Techniques

abstract:
  With an upsurge in financial accounting fraud in the current economic
scenario experienced, financial accounting fraud detection (FAFD) has become an
emerging topic of great importance for academic, research and industries. The
failure of internal auditing system of the organization in identifying the
accounting frauds has lead to use of specialized procedures to detect financial
accounting fraud, collective known as forensic accounting. Data mining
techniques are providing great aid in financial accounting fraud detection,
since dealing with the large data volumes and complexities of financial data
are big challenges for forensic accounting. This paper presents a comprehensive
review of the literature on the application of data mining techniques for the
detection of financial accounting fraud and proposes a framework for data
mining techniques based accounting fraud detection. The systematic and
comprehensive literature review of the data mining techniques applicable to
financial accounting fraud detection may provide a foundation to future
research in this field. The findings of this review show that data mining
techniques like logistic models, neural networks, Bayesian belief network, and
decision trees have been applied most extensively to provide primary solutions
to the problems inherent in the detection and classification of fraudulent
data.


title:
A Neural Network based Approach for Predicting Customer Churn in
  Cellular Network Services

abstract:
  Marketing literature states that it is more costly to engage a new customer
than to retain an existing loyal customer. Churn prediction models are
developed by academics and practitioners to effectively manage and control
customer churn in order to retain existing customers. As churn management is an
important activity for companies to retain loyal customers, the ability to
correctly predict customer churn is necessary. As the cellular network services
market becoming more competitive, customer churn management has become a
crucial task for mobile communication operators. This paper proposes a neural
network based approach to predict customer churn in subscription of cellular
wireless services. The results of experiments indicate that neural network
based approach can predict customer churn.