title:
Monte Carlo studies of the spontaneous rotational symmetry breaking in
  dimensionally reduced super Yang-Mills models

abstract:
  It has long been speculated that the spontaneous symmetry breaking (SSB) of
SO(D) occurs in matrix models obtained by dimensionally reducing super
Yang-Mills theory in D=6,10 dimensions. In particular, the D=10 case
corresponds to the IIB matrix model, which was proposed as a nonperturbative
formulation of superstring theory, and the SSB may correspond to the dynamical
generation of four-dimensional space-time. Recently, it has been shown by using
the Gaussian expansion method that the SSB indeed occurs for D=6 and D=10, and
interesting nature of the SSB common to both cases has been suggested. Here we
study the same issue from first principles by a Monte Carlo method in the D=6
case. In spite of a severe complex-action problem, the factorization method
enables us to obtain various quantities associated with the SSB, which turn out
to be consistent with the previous results obtained by the Gaussian expansion
method. This also demonstrates the usefulness of the factorization method as a
general approach to systems with the complex-action problem or the sign
problem.

categories: hep-th cond-mat.stat-mech hep-lat physics.comp-ph


title:
Photoluminescence modulation of ZnO via coupling with the surface
  plasmon resonance of gold nanoparticles

abstract:
  In this letter, we study how coupling between AuNPs and ZnO thin films
affects their emission properties. The emission intensity of ZnO thin films
changes when Al2O3 spacer layer of different thickness are included in ZnO/Au
films, consistent with theoretical predictions. The emission properties are
also controlled using the polarization of the excitation source. Emission
properties depended on the polarization of the excitation source because of the
surface plasmon resonance of AuNPs. The photoluminescence anisotropy of these
systems shows that enhanced photoluminescence can be achieved through coupling
of the emission from ZnO with the surface plasmon resonance of AuNPs.


title: Effects Of Zoning On Housing Option Value

abstract:
  The research explores the subject of zoning effect on price value of a house
in a certain designated zone. Zoning is defined as a land under planned use.
This results in price value of the land. As the area of the land decreases an
increase in price occurs. This research does not specify the magnitude of a
certain unit by which a housing price will increase or decrease but it
estimates the housing option value. This research helps the policy makers to
improve long term policy decisions. This research will showcase zoning effects
on housing option value for the specific zones in the city of Normal. The
observations are taken for different parcels of total neighborhoods in the city
of Normal. This research will use hedonic model for conducting a regression
analysis on the subject. The hypothesis taken into consideration before
starting the research is to prove that more 50 percent variation in the housing
price is affected by the zoning characteristics. This research will try to
prove the hypothesis by comparing the assessed values with the predicted values
from the model.


title: The energy spectrum of cosmic rays at the highest energies

abstract:
  One of several working groups established for this workshop was charged with
examining results and methods associated with the UHECR energy spectrum. We
summarize the results of our discussions, which include a better understanding
of the analysis choices made by groups and their motivation. We find that the
energy spectra determined by the larger experiments are consistent in
normalization and shape after energy scaling factors are applied. Those scaling
factors are within systematic uncertainties in the energy scale, and we discuss
future work aimed at reducing these systematics.


title:
Dynamics of domain-wall Dirac fermions on a topological insulator: a
  chiral fermion beam splitter

abstract:
  The intersection of two ferromagnetic domain walls placed on the surface of
topological insulators provides a one-way beam splitter for domain-wall Dirac
fermions. Based on an analytic expression for a static two-soliton magnetic
texture we perform a systematic numerical study of the propagation of Dirac
wave packets along such intersections. A single-cone staggered-grid finite
difference lattice scheme is employed in the numerical analysis. It is shown
that the angle of intersection plays a decisive role in determining the
splitting ratio of the fermion beam. For a non-rectangular intersection, the
width and, to a lesser extent, the type of domain walls, e.g. Bloch or
N{\'e}el, determine the properties of the splitter. As the ratio between
domain-wall width and transverse localization length of the Dirac fermion is
increased its propagation behavior changes from quantum-mechanical (wave-like)
to classical ballistic (particle-like). An electric gate placed near the
intersection offers a dynamic external control knob for adjusting the splitting
ratio.


title: A remark on Zagier's observation of the Mandelbrot set

abstract:
  We investigate the arithmetic properties of the coefficients for the
normalized conformal mapping of the exterior of the Multibrot set. In this
paper, an estimate of the prime factor of the denominator of these coefficients
is given. Bielefeld, Fisher and Haeseler presented Zagier's observation for the
growth of denominator of the coefficients for the Mandelbrot set and Yamashita
verified it in his master thesis. Our study takes into consideration both
Zagier's observation and Yamashita's estimate.


title: One-bit Decentralized Detection with a Rao Test for Multisensor Fusion

abstract:
  In this letter we propose the Rao test as a simpler alternative to the
generalized likelihood ratio test (GLRT) for multisensor fusion. We consider
sensors observing an unknown deterministic parameter with symmetric and
unimodal noise. A decision fusion center (DFC) receives quantized sensor
observations through error-prone binary symmetric channels and makes a global
decision. We analyze the optimal quantizer thresholds and we study the
performance of the Rao test in comparison to the GLRT. Also, a theoretical
comparison is made and asymptotic performance is derived in a scenario with
homogeneous sensors. All the results are confirmed through simulations.


title: Consistent probabilities in loop quantum cosmology

abstract:
  A fundamental issue for any quantum cosmological theory is to specify how
probabilities can be assigned to various quantum events or sequences of events
such as the occurrence of singularities or bounces. In previous work, we have
demonstrated how this issue can be successfully addressed within the consistent
histories approach to quantum theory for Wheeler-DeWitt-quantized cosmological
models. In this work, we generalize that analysis to the exactly solvable loop
quantization of a spatially flat, homogeneous and isotropic cosmology sourced
with a massless, minimally coupled scalar field known as sLQC. We provide an
explicit, rigorous and complete decoherent histories formulation for this model
and compute the probabilities for the occurrence of a quantum bounce vs. a
singularity. Using the scalar field as an emergent internal time, we show for
generic states that the probability for a singularity to occur in this model is
zero, and that of a bounce is unity, complementing earlier studies of the
expectation values of the volume and matter density in this theory. We also
show from the consistent histories point of view that all states in this model,
whether quantum or classical, achieve arbitrarily large volume in the limit of
infinite `past' or `future' scalar `time', in the sense that the wave function
evaluated at any arbitrary fixed value of the volume vanishes in that limit.
Finally, we briefly discuss certain misconceptions concerning the utility of
the consistent histories approach in these models.


title:
Design Parameters and Commissioning of Vertical Inserts Used for Testing
  the XFEL Superconducting Cavities

abstract:
  The European XFEL is a new research facility currently under construction at
DESY in the Hamburg area in Germany. From 2015 on, it will generate extremely
intense X-ray flashes that will be used by researchers from all over the world.
The superconducting XFEL linear accelerator consists of 100 accelerator modules
with more than 800 RF-cavities inside. The accelerator modules, superconducting
magnets and cavities will be tested in the accelerator module test facility
(AMTF). This paper gives an overview of the design parameters and the
commissioning of the vertical insert, used in two cryostats (XATC) of the
AMTF-hall. The Insert serves as a holder for 4 nine-cell cavities. This gives
the possibility to cool down 4 cavities to 2K in parallel and, consequently, to
reduce the testing time. The following RF measurement, selected as quality
check, will be done separately for each cavity. Afterwards the cavities will be
warmed up again and will be sent to the accelerator module assembly.


title:
On-chip non-reciprocal optical devices based on quantum inspired
  photonic lattices

abstract:
  We propose a novel geometry for integrated photonic devices that can be used
as isolators and polarization splitters based on engineered photonic lattices.
Starting from optical waveguide arrays that mimic Fock space representation of
a non-interacting two-site Bose Hubbard Hamiltonian, we show that introducing
magneto-optic nonreciprocity to these structures leads to a superior optical
isolation performance. In the forward propagation direction, an input TM
polarized beam experiences a perfect state transfer between the input and
output waveguide channels while surface Bloch oscillations block the backward
transmission between the same ports. Our analysis indicates a large isolation
ratio of 75 dB after a propagation distance of 8 mm inside seven coupled
waveguides. Moreover, we demonstrate that, a judicious choice of the
nonreciprocity in this same geometry can lead to perfect polarization
splitting.


title: Family Constraining of Iterative Algorithms

abstract:
  In constraining iterative processes, the algorithmic operator of the
iterative process is pre-multiplied by a constraining operator at each
iterative step. This enables the constrained algorithm, besides solving the
original problem, also to find a solution that incorporates some prior
knowledge about the solution. This approach has been useful in image
restoration and other image processing situations when a single constraining
operator was used. In the field of image reconstruction from projections a
priori information about the original image, such as smoothness or that it
belongs to a certain closed convex set, may be used to improve the
reconstruction quality. We study here constraining of iterative processes by a
family of operators rather than by a single operator.


title: Relative shapes of thick subsets of moduli space

abstract:
  A closed hyperbolic surface of genus $g\ge 2$ can be decomposed into pairs of
pants along shortest closed geodesics and if these curves are sufficiently
short (and with lengths uniformly bounded away from 0), then the geometry of
the surface is essentially determined by the combinatorics of the pants
decomposition. These combinatorics are determined by a trivalent graph, so we
call such surfaces {\em trivalent}.
  In this paper, in a first attempt to understand the "shape" of the subset
$\ts$ of moduli space consisting of surfaces whose systoles fill, we compare it
metrically, asymptotically in g, with the set $\tri$ of trivalent surfaces. As
our main result, we find that the set $\ts \cap \tri$ is metrically "sparse" in
$\ts$ (where we equip $\moduli$ with either the Thurston or the Teichm\"uller
metric).


title: Minimum heat dissipation in measurement-based quantum computation

abstract:
  We show that at least 2kTln2 of heat dissipation per qubit occurs in
measurement-based quantum computation according to Landauer's principle. This
result is derived by using only the fundamental fact that quantum physics
respects the no-signaling principle.


title: Is GBT 1355+5439 a dark galaxy?

abstract:
  We present HI imaging of GBT 1355+5439 performed with the Westerbork
Synthesis Radio Telescope. This is a dark HI object recently discovered close
to the nearby galaxy M101. We find GBT 1355+5439 to be an HI cloud 5x3 arcmin
in size. The total HI image and the kinematics show that the cloud consists of
condensations that have small (~10 km/s) motions with respect to each other.
The column densities of the HI are low; the observed peak value is 7.1x10^{19}
cm^{-2}. The velocity field shows a mild velocity gradient over the body of GBT
1355+5439, possibly due to rotation, but it may also indicate large-scale
radial motions. Although our data are limited in sensitivity, at all positions
the HI velocity dispersion is higher than 5 km/s and no narrow, cold, HI
component is seen. Because its distance is not known, we considered various
possibilities for the nature of GBT 1355+5439. Both the scenarios that it is a
tidal remnant near M101 and that it is a dark dwarf companion of M101 meet
difficulties. Neither do the data fit the properties of known compact
High-Velocity Clouds in the Galactic halo exactly, but we cannot entirely
exclude this option and deeper observations are required. We also considered
the possibility that GBT 1355+5439 is a gas-rich dark minihalo in the outer
regions of the Local Group. Interestingly, it would then have similar
properties as the clouds of a proposed Local Group population recently found in
the ALFALFA survey. In this case, the HI mass of GBT 1355+5439 would be about a
few times 10^5 Msol, its size about 1 kpc, and the dynamical mass M_dyn >
5x10^7 Msol. However, if GBT 1355+5439 is a dark Local Group object, the
internal kinematics of the HI appears to be different from that of
gas-dominated, almost dark galaxies of similar size.


title:
On d+id density wave and superconducting orderings in hole-doped
  cuprates

abstract:
  The Chiral d-density wave (CDDW) order, at the anti-ferromagnetic wave vector
(pi,pi), is assumed to represent the pseudo-gap (PG) state of a hole-doped
cuprate superconductor. The pairing interaction required for the PG phase
corresponds to a repulsive interaction of Coulombic origin. The d-wave
superconductivity (DSC), driven by an appropriate assumed attractive
interaction, is discussed within the mean-field framework together with the
CDDW ordering. The single-particle excitation spectrum in the CDDW and DSC
state is characterized by the Bogolubov quasi-particle bands-a characteristic
feature of SC state. The coupled gap equations are solved self-consistently
together with the equation to determine the chemical potential. With the
pinning of the van Hove-singularities close to the chemical potential, one is
able to calculate the thermodynamic and transport properties of the under-doped
cuprates in a consistent manner. The electronic specific heat displays
non-Fermi liquid feature in the CDDW state. The CDDW and DSC are found to
represent two competing orders as the former brings about a depletion of the
spectral weight (and Raman response function density) available for pairing in
the anti-nodal region of momentum space.This is not in agreement with a
preformed pairing scenario and justifies the different structures we have
assumed for the pseudo-gap and the superconducting gap. Furthermore, these gaps
in the excitation spectrum do not merge into a single quadrature gap. It is
also shown that the depletion of the spectral weight below Tc at energies
larger than the gap amplitude occurs. This is an indication of the
strong-coupling superconductivity in cuprates. The calculation of the ratio of
the quasi-particle thermal conductivity and temperature in the superconductiong
phase is found to be constant in the limit of near-zero quasi-particle
scattering rate.


title:
Symbolic dynamics for the piecewise rotations: Case of the bijective
  symmetric maps

abstract:
  We consider a specific %piecewise rotation of the plane that is continuous on
two half-planes, class of piecewise rotations of the plane that are continuous
on two half-planes, as studied in \cite{Bosh.Goet.03}, \cite{Goet.Quas.09} and
\cite{Che.Goe.Qua.12}. %If Assuming that the angle belongs to the set
$\{\frac{\pi}{2},\frac{\pi}{3},\frac{\pi}{6},\frac{\pi}{4}\} %$ $, we give a
description of the symbolic dynamics of this map in the bijective symmetric
case.


title:
Source-lens clustering and intrinsic-alignment bias of weak-lensing
  estimators

abstract:
  We estimate the amplitude of the source-lens clustering bias and of the
intrinsic-alignment bias of weak lensing estimators of the two-point and
three-point convergence and cosmic-shear correlation functions. We use a linear
galaxy bias model for the galaxy-density correlations, as well as a linear
intrinsic-alignment model. For the three-point and four-point density
correlations, we use analytical or semi-analytical models, based on a
hierarchical ansatz or a combination of one-loop perturbation theory with a
halo model. For two-point statistics, we find that the source-lens clustering
bias is typically several orders of magnitude below the weak lensing signal,
except when we correlate a very low-redshift galaxy ($z_2 \la 0.05$) with a
higher redshift galaxy ($z_1 \ga 0.5$), where it can reach $10\%$ of the signal
for the shear. For three-point statistics, the source-lens clustering bias is
typically of order $10\%$ of the signal, as soon as the three galaxy source
redshifts are not identical. The intrinsic-alignment bias is typically about
$10\%$ of the signal for both two-point and three-point statistics. Thus, both
source-lens clustering bias and intrinsic-alignment bias must be taken into
account for three-point estimators aiming at a better than $10\%$ accuracy.


title:
Effective dynamics of cold atoms flowing in two ring shaped optical
  potentials with tunable tunneling

abstract:
  We study the current dynamics of coupled atomic condensates flowing in two
ring-shaped optical potentials. We provide a specific setup where the ring-ring
coupling can be tuned in experimentally feasible way. It is demonstrated that
the imaginary time effective action of the system in a weak coupling regime
provides a two-level-system-dynamics for the phase slip across the two rings.
Through two-mode Gross- Pitaevskii mean field equations, the real time dynamics
of the population imbalance and the phase difference between of the two
condensates is thoroughly analyzed analytically, as function of the relevant
physical parameters of the system. In particular, we find that the macroscopic
quantum self trapping phenomenon is induced in the system if the flowing
currents assume a non vanishing difference.


title: Majorana, Pauling and the quantum theory of the chemical bond

abstract:
  We discuss in detail very little known results obtained by Majorana as early
as 1931, regarding the quantum theory of the chemical bond in homopolar
molecules, based on the key concept of exchange interaction. After a brief
historical overview of the quantum homopolar valence theory, we address the
intriguing issues of the formation of the helium molecular ion, He2+, and of
the accurate description of the hydrogen molecule, H2. For the first case, the
group theory-inspired approach used by Majorana is contrasted with that more
known followed by Pauling (and published few months after that of Majorana),
while for the second case we focus on his proposal concerning the possible
existence of ionic structures in homopolar compounds, just as in the hydrogen
molecule. The novelty and relevance of Majorana's results in the modern
research on molecular and chemical physics is emphasized as well.


title: Magnetic monopole polarons in spin ice with mixed coordination numbers

abstract:
  Emergent quasiparticles that arise from the fractionalization of the
microscopic degrees of freedom have been one of the central themes in modern
condensed matter physics. The notion of magnetic monopoles, freely moving
quasiparticles fragmented from local dipole excitations, has enjoyed much
success in understanding the thermodynamic, static, and transport properties of
the so-called spin-ice materials. The artificial version of spin ice, where a
lattice of nanoscale magnetic dipoles is sculpted out of a ferromagnetic film,
provides a unique opportunity to study these unusual quasiparticles in a
material-by-design approach. Here we show that the elementary excitations in
the ice phase of a nano-magnetic array arranged in the pentagonal lattice are
composite objects comprised of the emergent monopole and a surrounding cloud of
opposite uncompensated magnetic charges.


title: Sampling Part Sizes of Random Integer Partitions

abstract:
  We consider procedures of sampling parts from a random integer partition. We
determine asymptotically the probabilty distribution of the randomly-selected
part whenever the positive integer that is partitioned becomes large.


title: Nonlinear stabilization of tokamak microturbulence by fast ions

abstract:
  Nonlinear electromagnetic stabilization by suprathermal pressure gradients
found in specific regimes is shown to be a key factor in reducing tokamak
microturbulence, augmenting significantly the thermal pressure electromagnetic
stabilization. Based on nonlinear gyrokinetic simulations investigating a set
of ion heat transport experiments on the JET tokamak, described by Mantica et
al. [Phys. Rev. Lett. 107 135004 (2011)], this result explains the
experimentally observed ion heat flux and stiffness reduction. These findings
are expected to improve the extrapolation of advanced tokamak scenarios to
reactor relevant regimes.


title:
A general class of regression type estimators in systematic sampling
  under non-response

abstract:
  In this paper we have proposed a general class of modified regression type
estimator in systematic sampling under non-response to estimate the population
mean using auxiliary information. The expressions of bias and mean square error
(MSE) up to the first order approximations are derived. A numerical study is
included to support the theoretical results.


title:
Layer-resolved study of Mg atom incorporation at MgO/Ag(001) buried
  interface

abstract:
  By combining x-ray excited Auger electron diffraction experiments and
multiple scattering calculations we reveal a layer-resolved shift for the Mg
KL23L23 Auger transition in MgO ultrathin films (4-6 \AA) on Ag(001). This
resolution is exploited to demonstrate the possibility to control Mg atoms
incorporation at the MgO/Ag(001) interface by exposing the MgO films to a Mg
flux. A substantial reduction of the MgO/Ag(001) work function is observed
during the exposition phase and reflects, both band-offset variations at the
interface and band bending effects in the oxide film.


title:
Unusual mechanism of vortex viscosity generated by mixed normal modes in
  superconductors with broken time reversal symmetry

abstract:
  We show that under certain conditions multiband superconductors with broken
time-reversal symmetry have a new vortex viscosity-generating mechanism which
is different from that in conventional superconductors. It appears due to the
existence of mixed superfluid phase-density mode inside vortex core. This new
contribution is dominant near the time reversal symmetry breaking phase
transition. The results could be relevant for three band superconductor
$Ba_{1-x}K_{x}Fe_2As_2$.


title:
The radiative decays $B_c^{*\pm} \to B_c^{\pm} \gamma $ with QCD sum
  rules

abstract:
  In this article, we calculate the $B_c^* \to B_c$ electromagnetic form-factor
with the three-point QCD sum rules, then study the radiative decays $
B_c^{*\pm} \to B_c^{\pm} \gamma$. Experimentally, we can study the radiative
transitions using the decay cascades $B_c^{*\pm}\to B_c^{\pm} \gamma\to J/\psi
\ell^{\pm}\bar{\nu}_{\ell} \gamma\to \mu^+ \mu^- \ell^{\pm}\bar{\nu}_{\ell}
\gamma$ in the future at the LHCb.


title: On the tritronqu\'ee solutions of P$_I^2$

abstract:
  For equation P$_I^2$, the second member in the P$_I$ hierarchy, we prove
existence of various degenerate solutions depending on the complex parameter
$t$ and evaluate the asymptotics in the complex $x$ plane for $|x|\to\infty$
and $t=o(x^{2/3})$. Using this result, we identify the most degenerate
solutions $u^{(m)}(x,t)$, $\hat u^{(m)}(x,t)$, $m=0,...,6$, called {\em
tritronqu\'ee}, describe the quasi-linear Stokes phenomenon and find the large
$n$ asymptotics of the coefficients in a formal expansion of these solutions.
We supplement our findings by a numerical study of the tritronqu\'ee solutions.


title:
Ginzburg-Landau analysis of the critical temperature and the upper
  critical field for three-band superconductors

abstract:
  Using the microscopic formalism of Eilenberger equations, a three-band
Ginzburg-Landau theory for the intraband dirty limit and clean interband
scattering case is derived. Within the framework of this three-band
Ginzburg-Landau theory, expressions for the critical temperature Tc and the
temperature dependence of the upper critical field H_c2 are obtained. Based on
some special cases of the matrix of interaction constants, we demonstrate the
influence of the sign of the interband interaction on the critical temperature
and the upper critical field as compared with a two-band superconductor where
it plays no role. We study also analytically and numerically the effect of its
magnitude.


title:
The complex hybrid origins of the root knot nematodes revealed through
  comparative genomics

abstract:
  Meloidogyne root knot nematodes (RKN) can infect most of the world's
agricultural crop species and are among the most important of all plant
pathogens. As yet however we have little understanding of their origins or the
genomic basis of their extreme polyphagy. The most damaging pathogens reproduce
by mitotic parthenogenesis and are suggested to originate by interspecific
hybridizations between unknown parental taxa. We sequenced the genome of the
diploid meiotic parthenogen Meloidogyne floridensis, and use a comparative
genomic approach to test the hypothesis that it was involved in the hybrid
origin of the tropical mitotic parthenogen M. incognita. Phylogenomic analysis
of gene families from M. floridensis, M. incognita and an outgroup species M.
hapla was used to trace the evolutionary history of these species' genomes,
demonstrating that M. floridensis was one of the parental species in the hybrid
origins of M. incognita. Analysis of the M. floridensis genome revealed many
gene loci present in divergent copies, as they are in M. incognita, indicating
that it too had a hybrid origin. The triploid M. incognita is shown to be a
complex double-hybrid between M. floridensis and a third, unidentified parent.
The agriculturally important RKN have very complex origins involving the mixing
of several parental genomes by hybridization and their extreme polyphagy and
agricultural success may be related to this hybridization, producing
transgressive variation on which natural selection acts. Studying RKN variation
via individual marker loci may fail due to the species' convoluted origins, and
multi-species population genomics is essential to understand the hybrid
diversity and adaptive variation of this important species complex. This
comparative genomic analysis provides a compelling example of the importance
and complexity of hybridization in generating animal species diversity more
generally.


title: The Algebra of a q-Analogue of Multiple Harmonic Series

abstract:
  We introduce an algebra which describes the multiplication structure of a
family of q-series containing a q-analogue of multiple zeta values. The double
shuffle relations are formulated in our framework. They contain a q-analogue of
Hoffman's identity for multiple zeta values. We also discuss the dimension of
the space spanned by the linear relations realized in our algebra.


title: Electron states and quantum transitions in a quantum ring on a sphere

abstract:
  An analytical solution of the quantum problem of an electron on a spherical
segment with angular confinement potential of the form of rectangular
impenetrable walls is presented. It is shown that the problem is reduced to
finding solution of hypergeometric equation. As an application of the obtained
results the quantum transitions in this system are discussed, and it is shown
that the selection rule for quantum number l is removed due to the violation of
spherical symmetry of the problem.


title: Persistent Markov partitions for rational maps

abstract:
  A construction is given of Markov partitions for some rational maps, which
persist over regions of parameter space, not confined to single hyperbolic
components. The set on which the Markov partition exists, and its boundary, are
analysed.


title: Structure of quantum vortex tangle in He-4 counterflow turbulence

abstract:
  The main goal of this paper is to present a comprehensive characterization of
well developed vortex tangles in a turbulent counterflow in quantum fluids
(with a laminar normal fluid component). We analyze extensive numerical
simulations using the vortex filament method, solving the full Biot-Savart
equations for the vortex dynamics in a wide range of temperatures and
counter-flow velocities. In addition to a detailed analysis of traditional
characteristics such as vortex line density, anisotropic and curvature
parameters of the vortex tangle, we stress other dynamical and statistical
characteristics which are either much less studied or even unstudied. The
latter include reconnection rates, mean mutual friction forces, drift
velocities and the probability distribution functions of various tangle
parameters: the loop length, the line curvature, the mean curvature of loops
with a given length, etc. During these studies we compare the three main
reconnection procedures which are widely used in the literature, and identify
which properties are strongly affected by the choice of the reconnection
criteria and which of them are practically insensitive to the reconnection
procedure. The conclusion is that the vortex filament method in the framework
of the Biot-Savart equation sufficiently robust and well suited for the
description of the steady state vortex tangle in a quantum counterflow. The
Local-Induction Approximation to this equation may be successfully used to
analytically establish relationships between mean characteristics of the
stochastic vortex tangle.


title: Clique-width and edge contraction

abstract:
  We prove that edge contractions do not preserve the property that a set of
graphs has bounded clique-width. This property is preserved by contractions of
edges, one end of which is a vertex of degree 2.


title:
Throughput and Energy Efficiency Analysis of Small Cell Networks with
  Multi-antenna Base Stations

abstract:
  Small cell networks have recently been proposed as an important evolution
path for the next-generation cellular networks. However, with more and more
irregularly deployed base stations (BSs), it is becoming increasingly difficult
to quantify the achievable network throughput or energy efficiency. In this
paper, we develop an analytical framework for downlink performance evaluation
of small cell networks, based on a random spatial network model, where BSs and
users are modeled as two independent spatial Poisson point processes. A new
simple expression of the outage probability is derived, which is analytically
tractable and is especially useful with multi-antenna transmissions. This new
result is then applied to evaluate the network throughput and energy
efficiency. It is analytically shown that deploying more BSs or more BS
antennas can always increase the network throughput, but the performance gain
critically depends on the BS-user density ratio and the number of BS antennas.
On the other hand, increasing the BS density or the number of transmit antennas
will first increase and then decrease the energy efficiency if different
components of BS power consumption satisfy certain conditions, and the optimal
BS density and the optimal number of BS antennas can be found. Otherwise, the
energy efficiency will always decrease. Simulation results shall demonstrate
that our conclusions based on the random network model are general and also
hold in a regular grid-based model.


title: The Polya-Chebotarev problem and inverse polynomial images

abstract:
  Consider the problem, usually called the P\'olya-Chebotarev problem, of
finding a continuum in the complex plane including some given points such that
the logarithmic capacity of this continuum is minimal. We prove that each
connected inverse image $\T_n^{-1}([-1,1])$ of a polynomial $\T_n$ is always
the solution of a certain P\'olya-Chebotarev problem. By solving a nonlinear
system of equations for the zeros of $\T_n^2-1$, we are able to construct
polynomials $\T_n$ with a connected inverse image.


title: Opposite parity fermion mixing and baryons $1/2^{\pm}$

abstract:
  We develop a variant of $K$-matrix, which includes the effect of opposite
parity fermions (OPF) mixing, and apply it for description of $\pi N$ partial
waves $S_{11}$ and $P_{11}$. OPF-mixing leads to appearance of negative energy
poles in $K$-matrix and restoration of MacDowell symmetry, relating two partial
waves. Joint analysis of PWA results for $S_{11}$ and $P_{11}$ confirms
significance of this effect.


title:
Macroscopic effect of quantum gravity: graviton, ghost and instanton
  condensation on horizon scale of the Universe

abstract:
  We discuss a special class of quantum gravity phenomena that occur on the
scale of the Universe as a whole at any stage of its evolution. These phenomena
are a direct consequence of the zero rest mass of gravitons, conformal
non-invariance of the graviton field, and one-loop finiteness of quantum
gravity. The effects are due to graviton-ghost condensates arising from the
interference of quantum coherent states. Each of coherent states is a state of
gravitons and ghosts of a wavelength of the order of the horizon scale and of
different occupation numbers. The state vector of the Universe is a coherent
superposition of vectors of different occupation numbers. To substantiate the
reliability of macroscopic quantum effects, the formalism of one-loop quantum
gravity is discussed in detail. The theory is constructed as follows:
Faddeev-Popov path integral in Hamilton gauge -> factorization of classical and
quantum variables, allowing the existence of a self-consistent system of
equations for gravitons, ghosts and macroscopic geometry -> transition to the
one-loop approximation. The ghost sector corresponding to the Hamilton gauge
ensures of one-loop finiteness of the theory off the mass shell. The
Bogolyubov-Born-Green-Kirckwood-Yvon (BBGKY) chain for the spectral function of
gravitons renormalized by ghosts is used to build a self-consistent theory of
gravitons in the isotropic Universe. We found three exact solutions of the
equations, consisting of BBGKY chain and macroscopic Einstein's equations. The
solutions describe virtual graviton, ghost, and instanton condensates and are
reproduced at the level of exact solutions for field operators and state
vectors. Each exact solution corresponds to a certain phase state of
graviton-ghost substratum. We establish conditions under which a continuous
quantum-gravity phase transitions occur between different phases of the
graviton-ghost condensate.


title: Inverse polynomial images consisting of an interval and an arc

abstract:
  In this paper, some geometric properties of inverse polynomial images which
consist of a real interval and an arc symmetric with respect to the real line
are obtained. The proofs are based on properties of Jacobi's elliptic and theta
functions.


title: Squeeze flow of a viscoplastic Bingham medium: an asymptotic solution

abstract:
  We obtain an asymptotic solution for the squeeze flow of a viscoplastic
medium. The standard lubrication-style expansions of the problem predict plug
speed which varies slowly in the principal flow direction. This variation
implies that the plug region cannot be truly unyielded. Our solution shows that
this region is a pseudo-plug region in which the leading order equation predict
a plug, but really it is weakly yielded at higher order.


title: The Space-Based Gamma-Ray Telescope GAMMA-400 and Its Scientific Goals

abstract:
  The design of the new space-based gamma-ray telescope GAMMA-400 is presented.
GAMMA-400 is optimized for the energy 100 GeV with the best parameters: the
angular resolution ~0.01 deg, the energy resolution ~1%, and the proton
rejection factor ~10E6, but is able to measure gamma-ray and electron +
positron fluxes in the energy range from 100 MeV to 10 TeV. GAMMA-400 is aimed
to a broad range of science topics, such as search for signatures of dark
matter, studies of Galactic and extragalactic gamma-ray sources, Galactic and
extragalactic diffuse emission, gamma-ray bursts, as well as high-precision
measurements of spectra of cosmic-ray electrons + positrons, and nuclei.


title:
A singularly perturbed non-ideal transmission problem and application to
  the effective conductivity of a periodic composite

abstract:
  We investigate the effective thermal conductivity of a two-phase composite
with thermal resistance at the interface. The composite is obtained by
introducing into an infinite homogeneous matrix a periodic set of inclusions of
a different material. The diameter of each inclusion is assumed to be
proportional to a positive real parameter \epsilon. Under suitable assumptions,
we show that the effective conductivity can be continued real analytically in
the parameter \epsilon around the degenerate value \epsilon=0, in
correspondence of which the inclusions collapse to points.


title:
A singularly perturbed nonlinear traction problem in a periodically
  perforated domain. A functional analytic approach

abstract:
  We consider a periodically perforated domain obtained by making in R^n a
periodic set of holes, each of them of size proportional to \epsilon. Then we
introduce a nonlinear boundary value problem for the Lam\'e equations in such a
periodically perforated domain. The unknown of the problem is a vector valued
function u which represents the displacement attained in the equilibrium
configuration by the points of a periodic linearly elastic matrix with a hole
of size \epsilon contained in each periodic cell. We assume that the traction
exerted by the matrix on the boundary of each hole depends (nonlinearly) on the
displacement attained by the points of the boundary of the hole. Then our aim
is to describe what happens to the displacement vector function u when \epsilon
tends to 0. Under suitable assumptions we prove the existence of a family of
solutions {u(\epsilon,.) : \epsilon \in ]0,\epsilon'[} with a prescribed
limiting behaviour when \epsilon approaches 0. Moreover, the family
{u(\epsilon,.) : \epsilon \in ]0,\epsilon'[} is in a sense locally unique and
can be continued real analytically for negative values of \epsilon.


title:
Effective conductivity of a singularly perturbed periodic two-phase
  composite with imperfect thermal contact at the two-phase interface

abstract:
  We consider the asymptotic behaviour of the effective thermal conductivity of
a two-phase composite obtained by introducing into an infinite homogeneous
matrix a periodic set of inclusions of a different material and of size
proportional to a positive parameter \epsilon. We are interested in the case of
imperfect thermal contact at the two-phase interface. Under suitable
assumptions, we show that the effective thermal conductivity can be continued
real analytically in the parameter \epsilon around the degenerate value
\epsilon=0, in correspondence of which the inclusions collapse to points. The
results presented here are obtained by means of an approach based on functional
analysis and potential theory and are also part of a forthcoming paper by the
authors.


title:
Expansion for moments of regression quantiles with application to
  nonparametric testing

abstract:
  We discuss nonparametric tests for parametric specifications of regression
quantiles. The test is based on the comparison of parametric and nonparametric
fits of these quantiles. The nonparametric fit is a Nadaraya-Watson quantile
smoothing estimator.
  An asymptotic treatment of the test statistic requires the development of new
mathematical arguments. An approach that makes only use of plugging in a
Bahadur expansion of the nonparametric estimator is not satisfactory. It
requires too strong conditions on the dimension and the choice of the
bandwidth.
  Our alternative mathematical approach requires the calculation of moments of
Nadaraya-Watson quantile regression estimators. This calculation is done by
application of higher order Edgeworth expansions.


title: Discrete random walks on the group Sol

abstract:
  The harmonic measure $\nu$ on the boundary of the group $Sol$ associated to a
discrete random walk of law $\mu$ was described by Kaimanovich. We investigate
when it is absolutely continuous or singular with respect to Lebesgue measure.
By ratio entropy over speed, we show that any countable non-abelian subgroup
admits a finite first moment non-degenerate $\mu$ with singular harmonic
measure $\nu$. On the other hand, we prove that some random walks with finitely
supported step distribution admit a regular harmonic measure. Finally, we
construct some exceptional random walks with arbitrarily small speed but
singular harmonic measures. The two later results are obtained by comparison
with Bernoulli convolutions, using results of Erd\"os and Solomyak.


title:
A lower bound for the minimum deviation of the Chebyshev polynomial on a
  compact real set

abstract:
  In this paper, we give a sharp lower bound for the minimum deviation of the
Chebyshev polynomial on a compact subset of the real line in terms of the
corresponding logarithmic capacity. Especially if the set is the union of
several real intervals, together with a lower bound for the logarithmic
capacity derived recently by A.Yu.\,Solynin, one has a lower bound for the
minimum deviation in terms of elementary functions of the endpoints of the
intervals. In addition, analogous results for compact subsets of the unit
circle are given.


title: An upper bound for the logarithmic capacity of two intervals

abstract:
  The logarithmic capacity (also called Chebyshev constant or transfinite
diameter) of two real intervals $[-1,\alpha]\cup[\beta,1]$ has been given
explicitly with the help of Jacobi's elliptic and theta functions already by
Achieser in 1930. By proving several inequalities for these elliptic and theta
functions, an upper bound for the logarithmic capacity in terms of elementary
functions of $\alpha$ and $\beta$ is derived.


title:
Evolution of Thermally Pulsing Asymptotic Giant Branch Stars II. Dust
  production at varying metallicity

abstract:
  We present the dust ejecta of the new stellar models for the Thermally
Pulsing Asymptotic Giant Branch (TP-AGB) phase computed with the COLIBRI code.
We use a formalism of dust growth coupled with a stationary wind for both M and
C-stars. In the original version of this formalism, the most efficient
destruction process of silicate dust in M-giants is chemisputtering by H2
molecules. For these stars we find that dust grains can only form at relatively
large radial distances (r~5 R*), where they cannot be efficiently accelerated,
in agreement with other investigations. In the light of recent laboratory
results, we also consider the alternative case that the condensation
temperature of silicates is determined only by the competition between growth
and free evaporation processes (i.e. no chemisputtering). With this latter
approach we obtain dust condensation temperatures that are significantly higher
(up to Tcond~1400 K) than those found when chemisputtering is included
(Tcond~900 K), and in better agreement with condensation experiments. As a
consequence, silicate grains can remain stable in inner regions of the
circumstellar envelopes (r~2 R*), where they can rapidly grow and can be
efficiently accelerated. With this modification, our models nicely reproduce
the observed trend between terminal velocities and mass loss rates of Galactic
M-giants. For C-stars the formalism is based on the homogeneous growth scheme
where the key role is played by the carbon over oxygen excess. The models
reproduce fairly well the terminal velocities of Galactic stars and there is no
need to invoke changes in the standard assumptions. At decreasing metallicity
the carbon excess becomes more pronounced and the efficiency of dust formation
increases. This trend could be in tension with recent observational evidence in
favour of a decreasing efficiency, at decreasing metallicity.


title: Best Separable Approximation of multipartite diagonal symmetric states

abstract:
  The structural study of entanglement in multipartite systems is hindered by
the lack of necessary and sufficient operational criteria able to discriminate
among the various entanglement properties of a given mixed state. Here, we
pursue a different route to the study of multipartite entanglement based on the
closeness of a multipartite state to the set of separable ones. In particular,
we analyze multipartite diagonal symmetric N qubit states and provide the
analytical expression for their Best Separable Approximation (BSA [Phys. Rev.
Lett. 80, 2261 (1998)]), that is, their unique convex decomposition into a
separable part and an entangled one with maximal weight of the separable one.


title:
Real analytic families of harmonic functions in a domain with a small
  hole

abstract:
  Let n\ge 3. Let \Omega^i and \Omega^o be open bounded connected subsets of
R^n containing the origin. Let \epsilon_0>0 be such that \Omega^o contains the
closure of \epsilon\Omega^i for all \epsilon\in]-\epsilon_0,\epsilon_0[. Then,
for a fixed \epsilon\in]-\epsilon_0,\epsilon_0[\{0} we consider a Dirichlet
problem for the Laplace operator in the perforated domain
\Omega^o\\epsilon\Omega^i. We denote by u_\epsilon the corresponding solution.
If p\in\Omega^o and p\neq 0, then we know that under suitable regularity
assumptions there exist \epsilon_p>0 and a real analytic operator U_p from
]-\epsilon_p,\epsilon_p[ to R such that u_\epsilon(p)=U_p[\epsilon] for all
\epsilon\in]0,\epsilon_p[. Thus it is natural to ask what happens to the
equality u_\epsilon(p)=U_p[\epsilon] for \epsilon<0. We show a general result
on continuation properties of some particular real analytic families of
harmonic functions in domains with a small hole and we prove that the validity
of the equality u_\epsilon(p)=U_p[\epsilon] for \epsilon<0 depends on the
parity of the dimension n.


title:
Non-linear curvature perturbation in multi-field inflation models with
  non-minimal coupling

abstract:
  Using the \delta N formalism we consider the non-linear curvature
perturbation in multi-field models of inflation with non-minimal coupling. In
particular, we focus on the relation between the \delta N formalism as applied
in the conformally related Jordan and Einstein frames. Exploiting results
already known in the Einstein frame, we give expressions for the power
spectrum, spectral tilt and non-gaussianity associated with the Jordan frame
curvature perturbation. In the case that an adiabatic limit has not been
reached, we find that in general these quantities differ from those associated
with the Einstein frame curvature perturbation, and also confirm their
equivalence in the absence of isocurvature modes. We then proceed to consider
two analytically soluble examples, the first involving a non-minimally coupled
`spectator' field and the second being a non-minimally coupled extension of the
multi-brid inflation model. In the first model we find that predictions can
easily be brought into agreement with the recent Planck results, as the
tensor-to-scalar ratio is generally small, the spectral tilt tuneable and the
non-gaussianity suppressed. In the second model we find that predictions for
all three parameters can differ substantially from those predicted in the
minimally coupled case, and that the recent Planck results for the spectral
tilt can be used to constrain the non-minimal coupling parameters.


title:
Two-neutrino double-beta decay Fermi transition and two-nucleon
  interaction

abstract:
  An exactly solvable model for a description of the two-neutrino double beta
decay transition of the Fermi type is considered. By using perturbation theory
an explicit dependence of the two-neutrino double beta decay matrix element on
the like-nucleon pairing, particle-particle and particle-hole proton-neutron
interactions by assuming a weak violation of isospin symmetry of Hamiltonian
expressed with generators of the SO(5) group. It is found that there is a
dominance of double beta decay transition through a single state of the
intermediate nucleus. Then, an energy weighted sum rule connecting Delta Z=2
nuclei is presented and discussed. It is suggested that this sum rule can be
exploited to study the residual interactions of the nuclear Hamiltonian.


title: Lattice QCD-based equations of state at vanishing net-baryon density

abstract:
  We present realistic equations of state for QCD matter at vanishing
net-baryon density which embed recent lattice QCD results at high temperatures
combined with a hadron resonance gas model in the low-temperature, confined
phase. In the latter, we allow an implementation of partial chemical
equilibrium, in which particle ratios are fixed at the chemical freeze-out, so
that a description closer to the experimental situation is possible. Given the
present uncertainty in the determination of the chemical freeze-out temperature
from first-principle lattice QCD calculations, we consider different values
within the expected range. The corresponding equations of state can be applied
in the hydrodynamic modeling of relativistic heavy-ion collisions at the LHC
and at the highest RHIC beam energies. Suitable parametrizations of our results
as functions of the energy density are also provided.


title: Scaling Up Robust MDPs by Reinforcement Learning

abstract:
  We consider large-scale Markov decision processes (MDPs) with parameter
uncertainty, under the robust MDP paradigm. Previous studies showed that robust
MDPs, based on a minimax approach to handle uncertainty, can be solved using
dynamic programming for small to medium sized problems. However, due to the
"curse of dimensionality", MDPs that model real-life problems are typically
prohibitively large for such approaches. In this work we employ a reinforcement
learning approach to tackle this planning problem: we develop a robust
approximate dynamic programming method based on a projected fixed point
equation to approximately solve large scale robust MDPs. We show that the
proposed method provably succeeds under certain technical conditions, and
demonstrate its effectiveness through simulation of an option pricing problem.
To the best of our knowledge, this is the first attempt to scale up the robust
MDPs paradigm.


title: Magnetohydrodynamic stability of stochastically driven accretion flows

abstract:
  We investigate the evolution of magnetohydrodynamic/hydromagnetic
perturbations in the presence of stochastic noise in rotating shear flows. The
particular emphasis is the flows whose angular velocity decreases but specific
angular momentum increases with increasing radial coordinate. Such flows,
however, are Rayleigh stable, but must be turbulent in order to explain
astrophysical observed data and, hence, reveal a mismatch between the linear
theory and observations/experiments. The mismatch seems to have been resolved,
atleast in certain regimes, in the presence of weak magnetic field revealing
magnetorotational instability. The present work explores the effects of
stochastic noise on such magnetohydrodynamic flows, in order to resolve the
above mismatch generically for the hot flows. We essentially concentrate on a
small section of such a flow which is nothing but a plane shear flow
supplemented by the Coriolis effect, mimicking a small section of an
astrophysical accretion disk around a compact object. It is found that such
stochastically driven flows exhibit large temporal and spatial
auto-correlations and cross-correlations of perturbation and hence large energy
dissipations of perturbation, which generate instability. Interestingly,
auto-correlations and cross-correlations appear independent of background
angular velocity profiles, which are Rayleigh stable, indicating their
universality. This work, to the best of our knowledge, is the first attempt to
understand the evolution of three-dimensional hydromagnetic perturbations in
rotating shear flows in the presence of stochastic noise.

categories: astro-ph.HE cond-mat.soft physics.flu-dyn physics.plasm-ph


title: Low-Resolution Spectrum of the Zodiacal Light with AKARI InfraRed Camera

abstract:
  We present the near- and mid-infrared zodiacal light spectrum obtained with
the AKARI Infra-Red Camera (IRC). A catalog of 278 spectra of the diffuse sky
covering a wide range of Galactic and ecliptic latitudes was constructed. The
wavelength range of this catalog is 1.8-5.3 {\mu}m with wavelength resolution
of \lambda /\Delta \lambda ~20. Advanced reduction methods specialized for the
slit spectroscopy of diffuse sky spectra are developed for constructing the
spectral catalog. Based on the comparison analysis of the spectra collected in
different seasons and ecliptic latitudes, we confirmed that the spectral shape
of the scattered component and the thermal emission component of the zodiacal
light in our wavelength range does not show any dependence on location and
time, but relative brightness between them varies with location. We also
confirmed that the color temperature of the zodiacal emission at 3-5 {\mu}m is
300+/-10 K at any ecliptic latitude. This emission is expected to be originated
from sub-micron dust particles in the interplanetary space.


title:
Akceleracja obliczen algebry liniowej z wykorzystaniem masywnie
  rownoleglych, wielordzeniowych procesorow GPU

abstract:
  The paper presents the aspect of use of modern graphics accelerators
supporting CUDA technology for high-performance computing in the field of
linear algebra. Fully programmable graphic cards have been available for
several years for both ordinary users and research units. They provide the
capability of performing virtually any computing with high performance, which
is often beyond the reach of conventional CPUs. GPU architecture, also in case
of classical problems of linear algebra which is the basis for many
calculations, can bring many benefits to the developer. Performance increase,
observed during matrix multiplication on nVidia Tesla C2050, was more than
thousandfold compared to ordinary CPU, resulting in drastic reduction of
latency for some of the results, thus the cost of obtaining them.


title:
An Optimal Heuristic for Sum of All Prime Numbers Logic for Large Inputs
  using RAPTOR

abstract:
  An optimal heuristic logic is an effective method for finding the sum of all
prime numbers up to a given number. This paper presents different approaches,
namely, general method and optimal method which facilitate to compare the
results and draw the optimal solution. The method adopted is to know the number
of symbols evaluated in each logic, construct better approaches based on
heuristics, proposals and implementations of human sequential development using
Rapid algorithmic prototyping tool for ordered reasoning (RAPTOR). In
traditional approach, task is complex in point of time and space; however, this
method reduces these prime factors by applying simple mathematical theorems and
heuristics. This model effectively works with large numeric inputs. It has been
tested on RAPTOR with flow charts, results indicates that algorithms are fast,
effective and scalable.


title:
A PSO Approach for Optimum Design of Multivariable PID Controller for
  nonlinear systems

abstract:
  The aim of this research is to design a PID Controller using particle swarm
optimization (PSO) algorithm for multiple-input multiple output (MIMO)
Takagi-Sugeno fuzzy model. The conventional gain tuning of PID controller (such
as Ziegler-Nichols (ZN) method) usually produces a big overshoot, and therefore
modern heuristics approach such as PSO are employed to enhance the capability
of traditional techniques. However, due to the computational efficiency, only
PSO will be used in this paper. The results show the advantage of the PID
tuning using PSO-based optimization approach.


title: Improved quantum test for linearity of a Boolean function

abstract:
  Let a Boolean function be available as a black-box (oracle) and one likes to
devise an algorithm to test whether it has certain property or it is
$\epsilon$-far from having that property. The efficiency of the algorithm is
judged by the number of calls to the oracle so that one can decide, with high
probability, between these two alternatives. The best known quantum algorithm
for testing whether a function is linear or $\epsilon$-far $(0 < \epsilon <
\frac{1}{2})$ from linear functions requires $O(\epsilon^{-\frac{2}{3}})$ many
calls [Hillery and Andersson, Physical Review A 84, 062329 (2011)]. We show
that this can be improved to $O(\epsilon^{-\frac{1}{2}})$ by using the
Deutsch-Jozsa and the Grover Algorithms.


title:
Experimental study of Counter-Rotating Vortex Pair Trajectories induced
  by a Round Jet in Cross-Flow at Low Velocity Ratios

abstract:
  Circular flush Jets In Cross-Flow were experimentally studied in a water
tunnel using Volumetric Particle Tracking Velocimetry, for a range of jet to
cross-flow velocity ratios, r, from 0.5 to 3, jet exit diameters $d$ from 0.8
cm to 1 cm and cross-flow boundary layer thickness delta from 1 to 2.5 cm. The
analysis of the 3D mean velocity fields allows for the definition, computation
and study of Counter-rotating Vortex Pair trajectories. The influences of r, d
and delta were investigated. A new scaling based on momentum ratio r_m taking
into account jet and cross-flow momentum distributions is introduced based on
the analysis of jet trajectories published in the literature. Using a rigorous
scaling quality factor Q to quantify how well a given scaling successfully
collapses trajectories, we show that the proposed scaling also improves the
collapse of CVP trajectories, leading to a final scaling law for these
trajectories.


title: An aggregation equation with a nonlocal flux

abstract:
  In this paper we study an aggregation equation with a general nonlocal flux.
We study the local well-posedness and some conditions ensuring global
existence. We are also interested in the differences arising when the
nonlinearity in the flux changes. Thus, we perform some numerics corresponding
to different convexities for the nonlinearity in the equation.


title: Emergent Behavior in Multipartite Large Networks: Multi-virus Epidemics

abstract:
  Epidemics in large complete networks is well established. In contrast, we
consider epidemics in non-complete networks. We establish the fluid limit
macroscopic dynamics of a multi-virus spread over a multipartite network as the
number of nodes at each partite or island grows large. The virus spread follows
a peer-to-peer random rule of infection in line with the Harris contact
process. The model conforms to an SIS (susceptible-infected-susceptible) type,
where a node is either infected or it is healthy and prone to be infected. The
local (at node level) random infection model induces the emergence of
structured dynamics at the macroscale. Namely, we prove that, as the
multipartite network grows large, the normalized Markov jump vector process
$\left(\bar{\mathbf{Y}}^\mathbf{N}(t)\right) =
\left(\bar{Y}_1^\mathbf{N}(t),\ldots, \bar{Y}_M^\mathbf{N}(t)\right)$
collecting the fraction of infected nodes at each island $i=1,\ldots,M$,
converges weakly (with respect to the Skorokhod topology on the space of
\emph{c\`{a}dl\`{a}g} sample paths) to the solution of an $M$-dimensional
vector nonlinear coupled ordinary differential equation. In the case of
multi-virus diffusion with $K\in\mathbb{N}$ distinct strains of virus, the
Markov jurmp matrix process $\left(\bar{\mathbf{Y}}^\mathbf{N}(t)\right)$,
stacking the fraction of nodes infected with virus type $j$, $j=1,\ldots,K$, at
each island $i=1,\ldots,M$, converges weakly as well to the solution of a
$\left(K\times M\right)$-dimensional vector differential equation that is also
characterized.


title: de Branges spaces with bi-Lipschitz phase for large distances

abstract:
  We characterize an arbitrary de Branges space with bi-Lipschitz phase for
large distances as a subspace of a weighted Paley--Wiener space, consisting of
the elements square-integrable against a heavier weight on the real line.


title: Precise Determinations of the Charm and Bottom Quark Masses

abstract:
  A finite-energy sum-rule is presented that allows for the use of combinations
of both positive- and inverse-moment integration kernels. The freedom afforded
from being able to employ this large class of integration kernels in our
sum-rule is then exploited to obtain the values of the charm and bottom masses
with minimum total uncertainty. We obtain as our final results m_c(3
GeV)=986(13) MeV and m_b(10 GeV)=3617(25) MeV, which are amongst the most
precise values of these parameters obtained by any method.


title: Random Phase Approximation without Bogoliubov Quasi-particles

abstract:
  A new version of random phase approximation is proposed for low-energy
harmonic vibrations in nuclei. The theory is not based on the quasi-particle
vacuum of the BCS/HFB ground state, but on the pair condensate determined in
Ref. [4]. The current treatment conserves the exact particle number all the
time. As a first test the theory is considered in two special cases: the
degenerate model (large pairing limit) and the vanished-pairing limit.


title: A solution to the 2/3 conjecture

abstract:
  We prove a vertex domination conjecture of Erd\H os, Faudree, Gould,
Gy\'arf\'as, Rousseau, and Schelp, that for every n-vertex complete graph with
edges coloured using three colours there exists a set of at most three vertices
which have at least 2n/3 neighbours in one of the colours. Our proof makes
extensive use of the ideas presented in "A New Bound for the 2/3 Conjecture" by
Kr\'al', Liu, Sereni, Whalen, and Yilma.


title: A Derivation of the Asymptotic Random-Coding Prefactor

abstract:
  This paper studies the subexponential prefactor to the random-coding bound
for a given rate. Using a refinement of Gallager's bounding techniques, an
alternative proof of a recent result by Altu\u{g} and Wagner is given, and the
result is extended to the setting of mismatched decoding.


title:
Conformally covariant systems of wave equations and their equivalence to
  Einstein's field equations

abstract:
  We derive, in 3+1 spacetime dimensions, two alternative systems of
quasi-linear wave equations, based on Friedrich's conformal field equations. We
analyse their equivalence to Einstein's vacuum field equations when appropriate
constraint equations are satisfied by the initial data. As an application, the
characteristic initial value problem for the Einstein equations with data on
past null infinity is reduced to a characteristic initial value problem for
wave equations with data on an ordinary light-cone.


title: Extrapolation of Stationary Random Fields

abstract:
  We introduce basic statistical methods for the extrapolation of stationary
random fields. For square integrable fields, we set out basics of the kriging
extrapolation techniques. For (non--Gaussian) stable fields, which are known to
be heavy tailed, we describe further extrapolation methods and discuss their
properties. Two of them can be seen as direct generalizations of kriging.


title:
Investigating Immune System Aging: System Dynamics and Agent-Based
  Modeling

abstract:
  System dynamics and agent based simulation models can both be used to model
and understand interactions of entities within a population. Our modeling work
presented here is concerned with understanding the suitability of the different
types of simulation for the immune system aging problems and comparing their
results. We are trying to answer questions such as: How fit is the immune
system given a certain age? Would an immune boost be of therapeutic value, e.g.
to improve the effectiveness of a simultaneous vaccination? Understanding the
processes of immune system aging and degradation may also help in development
of therapies that reverse some of the damages caused thus improving life
expectancy. Therefore as a first step our research focuses on T cells; major
contributors to immune system functionality. One of the main factors
influencing immune system aging is the output rate of naive T cells. Of further
interest is the number and phenotypical variety of these cells in an
individual, which will be the case study focused on in this paper.


title: Third-order phase transition in random tilings

abstract:
  We consider the domino tilings of an Aztec diamond with a cut-off corner of
macroscopic square shape and given size, and address the bulk properties of
tilings as the size is varied. We observe that the free energy exhibits a
third-order phase transition when the cut-off square, increasing in size,
reaches the arctic ellipse---the phase separation curve of the original
(unmodified) Aztec diamond. We obtain this result by studying the thermodynamic
limit of certain nonlocal correlation function of the underlying six-vertex
model with domain wall boundary conditions, the so-called emptiness formation
probability (EFP). We consider EFP in two different representations: as a
tau-function for Toda chains and as a random matrix model integral. The latter
has a discrete measure and a linear potential with hard walls; the observed
phase transition shares properties with both Gross-Witten-Wadia and
Douglas-Kazakov phase transitions.

categories: math-ph cond-mat.stat-mech hep-th math.CO math.MP


title:
Catching the Radio Flare in CTA 102 III. Core-Shift and Spectral
  Analysis

abstract:
  The temporal and spatial spectral evolution of the jets of AGN can be studied
with multi-frequency, multi-epoch VLBI observations. The combination of both,
morphological and spectral parameters can be used to derive source intrinsic
physical properties such as the magnetic field and the non-thermal particle
density. In the first two papers of this series, we analyzed the single-dish
light curves and the VLBI kinematics of the blazar CTA 102 and suggested a
shock-shock interaction between a traveling and a standing shock wave as a
possible scenario to explain the observed evolution of the component associated
to the 2006 flare. In this paper we investigate the core-shift and spectral
evolution to test our hypothesis of a shock-shock interaction. We used 8
multi-frequency VLBA observations to analyze the temporal and spatial evolution
of the spectral parameters during the flare. We observed CTA 102 between May
2005 and April 2007 using the VLBA at six different frequencies spanning from 2
- 86 GHz. After the calibrated VLBA images were corrected for opacity, we
performed a detailed spectral analysis. From the derived values we estimated
the magnetic field and the density of the relativistic particles. The detailed
analysis of the opacity shift reveals that the position of the jet core is
proportional to nu^-1 with some temporal variations. The value suggests
possible equipartition between magnetic field energy and particle kinetic
energy densities at the most compact regions. From the variation of the
physical parameters we deduced that the 2006 flare in CTA 102 is connected to
the ejection of a new traveling feature (t=2005.9) and the interaction between
this shock wave and a stationary structure around 0.1 mas from the core. The
source kinematics together with the spectral and structural variations can be
described by helical motions in an over-pressured jet.


title: A simple radiative thermal diode

abstract:
  We present a thermal rectification device concept based on far-field
radiative exchange between two selective emitters. Rectification is achieved
due to the fact that one of the selective emitters radiative properties are
independent on temperature whereas the other emitter properties are strongly
temperature dependent. A simple device constituted by two multilayer samples
made of metallic (Au) and semiconductor (Si and HDSi) thin films is proposed.
This device shows a rectification up to 70% with a temperature difference
\Delta T = 200 K, a rectification ratio that has never been achieved so far
with radiation-based rectifiers. Further optimization would allow larger
rectification values. Presented results might be useful for energy conversion
devices, smart radiative coolers / insulators engineering and thermal
modulators development.


title:
Cross Sections of Neutron Reactions $(n,p)$, $(n, \alpha)$, $(n, 2n)$ on
  Isotopes of Dysprosium, Erbium and Ytterbium at $\sim$ 14 MeV Neutron Energy

abstract:
  The cross sections of the nuclear reactions induced by neutrons at $E_n$=
14.6 MeV on the isotopes of Dy, Er, Yb with emission of neutrons, proton and
alpha-particle are studied by the use of new experimental data and different
theoretical approaches. New and improved experimental data are measured by the
neutron-activation technique. The experimental and evaluated data from EXFOR,
TENDL, ENDF libraries are compared with different systematics and calculations
by codes of EMPIRE~3.0 and TALYS~1.2. Contribution of pre-equilibrium decay is
discussed. Different systematics for estimations of the cross-sections of
considered nuclear reactions are tested.


title:
Quantitative lower bound for lifespan for solution of Navier-Stokes
  equations

abstract:
  We find a simple quantitative lower bound for lifespan of solution of the
multidimensional initial value problem for the Navier-Stokes equations in whole
space when the initial function belongs to the correspondent Lebesgue-Riesz
space, and give some a priory estimations for solution in some rearrangement
invariant spaces.


title: Search for Bottomonium States in Exclusive Radiative Upsilon(2S) Decays

abstract:
  We search for bottomonium states in Upsilon(2S)-> (bb-bar) gamma decays with
an integrated luminosity of 24.7fb^-1 recorded at the Upsilon(2S) resonance
with the Belle detector at KEK, containing (157.8+-3.6) X 10^6 Upsilon(2S)
events. The (bb-bar) system is reconstructed in 26 exclusive hadronic final
states composed of charged pions, kaons, protons, and K^0_S mesons. We find no
evidence for the state recently observed around 9975 MeV (X_(bb-bar)) in an
analysis based on a data sample of 9.3 X 10^6 Upsilon(2S) events collected with
the CLEO III detector. We set a 90 % confidence-level upper limit on the
branching fraction B[Upsilon(2S)-> X_(bb-bar) gamma] X \sum_i{B[X_(bb-bar)->
h_i]}< 4.9 X 10^-6, summed over the exclusive hadronic final states employed in
our analysis. This result is an order of magnitude smaller than the measurement
reported with CLEO data. We also set an upper limit for the eta_b(1S) state of
B[Upsilon(2S)-> eta_b(1S) gamma] X \sum_i{B[eta_b(1S)-> h_i]}< 3.7 X 10^-6.


title:
Bright solitons from the nonpolynomial Schr\"odinger equation with
  inhomogeneous defocusing nonlinearities

abstract:
  Extending the recent work on models with spatially nonuniform nonlinearities,
we study bright solitons generated by the nonpolynomial self-defocusing (SDF)
nonlinearity in the framework of the one-dimensional (1D) Mu\~{n}oz-Mateo -
Delgado (MM-D) equation (the 1D reduction of the Gross-Pitaevskii equation with
the SDF nonlinearity), with the local strength of the nonlinearity growing at
any rate faster than |x| at large values of coordinate x. We produce numerical
solutions and analytical ones, obtained by means of the Thomas-Fermi
approximation (TFA), for nodeless ground states, and for excited modes with 1,
2, 3, and 4 nodes, in two versions of the model, with the steep (exponential)
and mild (algebraic) nonlinear-modulation profiles. In both cases, the ground
states and the single-node ones are completely stable, while the stability of
the higher-order modes depends on their norm (in the case of the algebraic
modulation, they are fully unstable). Unstable states spontaneously evolve into
their stable lower-order counterparts.


title: Granular materials composed of shape-anisotropic grains

abstract:
  Granulate physics has made considerable progress during the past decades in
the understanding of static and dynamic properties of large ensembles of
interacting macroscopic particles, including the modeling of phenomena like
jamming, segregation and pattern formation, the development of related
industrial applications or traffic flow control. The specific properties of
systems composed of shape-anisotropic (elongated or flattened) particles have
attracted increasing interest in recent years. Orientational order and
self-organization are among the characteristic phenomena that add to the
special features of granular matter of spherical or irregular particles. An
overview of this research field is given.


title: A Thermal Plume Model for the Martian Convective Boundary Layer

abstract:
  The Martian Planetary Boundary Layer [PBL] is a crucial component of the
Martian climate system. Global Climate Models [GCMs] and Mesoscale Models [MMs]
lack the resolution to predict PBL mixing which is therefore parameterized.
Here we propose to adapt the "thermal plume" model, recently developed for
Earth climate modeling, to Martian GCMs, MMs, and single-column models. The aim
of this physically-based parameterization is to represent the effect of
organized turbulent structures (updrafts and downdrafts) on the daytime PBL
transport, as it is resolved in Large-Eddy Simulations [LESs]. We find that the
terrestrial thermal plume model needs to be modified to satisfyingly account
for deep turbulent plumes found in the Martian convective PBL. Our Martian
thermal plume model qualitatively and quantitatively reproduces the thermal
structure of the daytime PBL on Mars: superadiabatic near-surface layer, mixing
layer, and overshoot region at PBL top. This model is coupled to surface layer
parameterizations taking into account stability and turbulent gustiness to
calculate surface-atmosphere fluxes. Those new parameterizations for the
surface and mixed layers are validated against near-surface lander
measurements. Using a thermal plume model moreover enables a first order
estimation of key turbulent quantities (e.g. PBL height, convective plume
velocity) in Martian GCMs and MMs without having to run costly LESs.

categories: physics.ao-ph astro-ph.EP physics.flu-dyn physics.geo-ph


title: Null Killing vectors and geometry of null strings in Einstein spaces

abstract:
  Einstein complex spacetimes admitting null Killing or null homothetic Killing
vectors are studied. These vectors define totally null and geodesic 2-surfaces
called the null strings or twistor surfaces. Geometric properties of these null
strings are discussed. It is shown, that spaces considered are hyperheavenly
spaces (HH-spaces) or, if one of the parts of the Weyl tensor vanishes,
heavenly spaces (H-spaces). The explicit complex metrics admitting null Killing
vectors are found. Some Lorentzian and ultrahyperbolic slices of these metrics
are discussed.


title:
Inverse polynomial images which consists of two Jordan arcs - An
  algebraic solution

abstract:
  Inverse polynomial images of $[-1,1]$, which consists of two Jordan arcs, are
characterised by an explicit polynomial equation for the four endpoints of the
arcs.


title:
Finite-temperature conductance of weakly interacting quantum wires with
  Rashba spin-orbit coupling

abstract:
  We calculate the finite-temperature conductance of clean, weakly interacting
one-dimensional quantum wires subject to Rashba spin-orbit coupling and a
magnetic field. For chemical potentials near the center of the Zeeman gap ($\mu
= 0$), two-particle scattering causes the leading deviation from the quantized
conductance at finite temperatures. On the other hand, for $|\mu| > 0$,
three-particle scattering processes become more relevant. These deviations are
a consequence of the strongly nonlinear single-particle spectrum, and are thus
not accessible using Luttinger liquid theory. We discuss the observability of
these predictions in current experiments on InSb nanowires and in "spiral
liquids", where a spontaneous ordering of the nuclear spins at low temperatures
produces an effective Rashba coupling.


title: Scale-Invariant Resonance Tagging in Multijet Final States

abstract:
  In this contribution, we study the resonant pair production of heavy
particles in hadronic final states using jet substructure techniques. We
discuss a recently proposed resonance tagging strategy, which interpolates
between the highly boosted and fully resolved regimes, leading to uniform
signal efficiencies and background rejection rates for a broad range of masses.
With this method, one can efficiently replace independent experimental
searches, based on different final state topologies, with a single common
analysis. We show using this strategy that the LHC has sensitivity to the
enhanced resonant production of Higgs boson pairs decaying into $b\bar{b}$
pairs in generic New Physics scenarios.


title: Some new properties of Jacobi's theta functions

abstract:
  In this paper, a monotonicity property for the quotient of two Jacobi's theta
functions with respect to the modulus $k$ is proved.


title:
Topology of polyhedral products and the Golod property of
  Stanley-Reisner rings

abstract:
  The polyhedral product is a space constructed from a simplicial complex and a
collection of pairs of spaces, which is connected with the Stanley Reisner ring
of the simplicial complex via cohomology. Generalizing the previous work Grbic
and Theriault, Grujic and Welker, and the authors, we show a decomposition of
polyhedral products for a large class of simplicial complexes including the
ones whose Alexander duals are shellable or sequentially Cohen-Macaulay. This
implies the property, called Golod, of the corresponding Stanley-Reisner rings
proved by Herzog, Reiner and Welker.


title: Ultimate efficiency of designs for processes of Ornstein-Uhlenbeck type

abstract:
  For a process governed by a linear Ito stochastic differential equation of
the form dX(t)=[a(t)+b(t)X(t)]dt + \sigma(t)dW(t) we prove an existence of
optimal sampling designs with strictly increasing sampling times. We derive an
asymptotic Fisher information matrix, which we take as a reference in assessing
a quality of finite-point sampling designs. The results are extended to a
broader class of Ito stochastic differential equations satisfying a certain
condition. We give an example based on the Gompertz growth law refuting a
generally accepted opinion that small-sample designs lead to a very high level
of efficiency.


title:
Proof of the cosmic no-hair conjecture in the T^3-Gowdy symmetric
  Einstein-Vlasov setting

abstract:
  The currently preferred models of the universe undergo accelerated expansion
induced by dark energy. One model for dark energy is a positive cosmological
constant. It is consequently of interest to study Einstein's equations with a
positive cosmological constant coupled to matter satisfying the ordinary energy
conditions; the dominant energy condition etc. Due to the difficulty of
analysing the behaviour of solutions to Einstein's equations in general, it is
common to either study situations with symmetry, or to prove stability results.
In the present paper, we do both. In fact, we analyse, in detail, the future
asymptotic behaviour of T^3-Gowdy symmetric solutions to the Einstein-Vlasov
equations with a positive cosmological constant. In particular, we prove the
cosmic no-hair conjecture in this setting. However, we also prove that the
solutions are future stable (in the class of all solutions). Some of the
results hold in a more general setting. In fact, we obtain conclusions
concerning the causal structure of T^2-symmetric solutions, assuming only the
presence of a positive cosmological constant, matter satisfying various energy
conditions and future global existence. Adding the assumption of T^3-Gowdy
symmetry to this list of requirements, we obtain C^0-estimates for all but one
of the metric components. There is consequently reason to expect that many of
the results presented in this paper can be generalised to other types of
matter.


title: A Coinductive Treatment of Infinitary Rewriting

abstract:
  We introduce a coinductive definition of infinitary term rewriting. The setup
is surprisingly simple, and has in contrast to the usual definitions of
infinitary rewriting, neither need for ordinals nor for metric convergence.
While the idea of a coinductive treatment of infinitary rewriting is not new,
all previous approaches were limited to reductions of length at most omega. The
approach presented in this paper is the first to capture the full infinitary
term rewriting with reductions of arbitrary ordinal length. Apart from an
elegant reformulation of known concepts, our approach gives rise, in a very
natural way, to a novel notion of infinitary equational reasoning.


title: Deformations of Lie 2-algebras

abstract:
  In this paper, we consider deformations of Lie 2-algebras via the cohomology
theory. We prove that a 1-parameter infinitesimal deformation of a Lie
2-algebra $\g$ corresponds to a 2-cocycle of $\g$ with the coefficients in the
adjoint representation. The Nijenhuis operator for Lie 2-algebras is introduced
to describe trivial deformations. We also study abelian extensions of Lie
2-algebras from the viewpoint of deformations of semidirect product Lie
2-algebras.


title:
Equivalence of ELSV and Bouchard-Mari\~no conjectures for $r$-spin
  Hurwitz numbers

abstract:
  We propose two conjectures on Huwritz numbers with completed $(r+1)$-cycles,
or, equivalently, on certain relative Gromov-Witten invariants of the
projective line. The conjectures are analogs of the ELSV formula and of the
Bouchard-Mari\~no conjecture for ordinary Hurwitz numbers. Our $r$-ELSV formula
is an equality between a Hurwitz number and an integral over the space of
$r$-spin structures, that is, the space of stable curves with an $r$th root of
the canonical bundle. Our $r$-BM conjecture is the statement that $n$-point
functions for Hurwitz numbers satisfy the topological recursion associated with
the spectral curve $x = -y^r + \log y$ in the sense of Chekhov, Eynard, and
Orantin. We show that the $r$-ELSV formula and the $r$-BM conjecture are
equivalent to each other and provide some evidence for both.


title: Gravito-electromagnetic resonances in Minkowski space

abstract:
  We consider the interaction between gravitational and electromagnetic
radiation propagating on a Minkowski background and look into the effects of
the former upon the latter. Not surprisingly, the coupling between these two
sources leads to gravitationally driven electromagnetic waves. At the second
perturbative level, the driving force appears as the superposition of two
waves, the properties of which are decided by the initial conditions. We find
that the Weyl-Maxwell interaction typically leads to electromagnetic beat-like
signals and, in some cases, to the resonant amplification of the driven
electromagnetic wave. For physically reasonable initial conditions, we show
that these resonances imply a linear (in time) growth for the amplitude of the
electromagnetic signal, with the overall amplification also depending on the
strength of the driving gravity wave. Finally, we provide order-of-magnitude
estimates of the achieved amplification by applying our analysis to
astrophysical environments where both gravitational and electromagnetic waves
are expected to coexist.


title: Pinning down Higgs triplets at the LHC

abstract:
  Extensions of the Standard Model Higgs sector involving weak isotriplet
scalars are not only benchmark candidates to reconcile observed anomalies of
the recently discovered Higgs-like particle, but also exhibit a vast parameter
space, for which the lightest Higgs' phenomenology turns out to be very similar
to the Standard Model one. A generic prediction of this model class is the
appearance of exotic doubly charged scalar particles. In this paper we adapt
existing dilepton+missing energy+jets measurements in the context of SUSY
searches to the dominant decay mode $H^{\pm\pm}\to W^\pm W^\pm$ and find that
the LHC already starts probing the model's parameter space. A simple
modification towards signatures typical of weak boson fusion searches allows us
to formulate even tighter constraints with the 7 TeV LHC data set. A
corresponding analysis of this channel performed at 14 TeV center of mass
energy will constrain the model over the entire parameter space and facilitate
potential $H^{\pm\pm}\to W^\pm W^\pm$ discoveries.


title:
Time crystals: can diamagnetic currents drive a charge density wave into
  rotation?

abstract:
  It has been argued recently that an inhomogeneous system could rotate
spontaneously in its ground state - hence a 'time crystal' which is periodic in
time. In this note we present a very simple example: a superfluid ring threaded
by a magnetic field which develops a charge density wave (CDW). A naive
calculation shows that diamagnetic currents cannot drive rotation of the CDW,
with a clear picture of the cancellation mechanism.


title: Optical Photon Reassignment Microscopy (OPRA)

abstract:
  To enhance the resolution of a confocal laser scanning microscope the
additional information of a pinhole plane image taken at every excitation scan
position can be used [C. J. R. Sheppard, Super-resolution in confocal imaging,
Optik 80, 5354 (1988)]. This photon reassignment principle is based on the fact
that the most probable position of an emitter is at half way between the
nominal focus of the excitation laser and the position corresponding to the
(off centre) detection position. Therefore, by reassigning the detected photons
to this place, an image with enhanced detection efficiency and resolution is
obtained. Here we present optical photon reassignment microscopy (OPRA) which
realises this concept in an all-optical way obviating the need for
image-processing. With the help of an additional intermediate optical beam
expansion between descanning and a further rescanning of the detected light, an
image with the advantages of photon reassignment can be acquired. Due to its
simplicity and flexibility this method has the potential to enhance the
performance of nearly every laser scanning microscope and is therefore expected
to play an important role in future systems.


title:
The key role of off-axis singularities in free-space vortex
  transmutation

abstract:
  We experimentally demonstrate the generation of off-axis phase singularities
in a vortex transmutation process induced by the breaking of rotational
symmetry. The process takes place in free space by launching a highly-charged
vortex, owning full rotational symmetry, into a linear thin diffractive element
presenting discrete rotational symmetry. It is shown that off-axis phase
singularities follow straight dark rays bifurcating from the symmetry axis.
This phenomenon may provide new routes towards the spatial control of multiple
phase singularities for applications in atom trapping and particle
manipulation.


title: Counting words with Laguerre series

abstract:
  We develop a method for counting words subject to various restrictions by
finding a combinatorial interpretation for a product of weighted sums of
Laguerre polynomials with parameter \alpha = -1. We describe how such a series
can be computed by finding an appropriate ordinary generating function and
applying a certain transformation. We use this technique to find the generating
function for the number of k-ary words avoiding any vincular pattern that has
only ones, as well as words cyclically avoiding vincular patterns with only
ones whose runs of ones between dashes are all of equal length.


title:
P-V criticality in the extended phase space of Gauss-Bonnet black holes
  in AdS space

abstract:
  We study the $P-V$ criticality and phase transition in the extended phase
space of charged Gauss-Bonnet black holes in anti-de Sitter space, where the
cosmological constant appears as a dynamical pressure of the system and its
conjugate quantity is the thermodynamic volume of the black hole. The black
holes can have a Ricci flat ($k=0$), spherical ($k=1$), or hyperbolic ($k=-1$)
horizon. We find that for the Ricci flat and hyperbolic Gauss-Bonnet black
holes, no $P-V$ criticality and phase transition appear, while for the black
holes with a spherical horizon, even when the charge of the black hole is
absent, the $P-V$ criticality and the small black hole/large black hole phase
transition will appear, but it happens only in $d=5$ dimensions; when the
charge does not vanish, the $P-V$ criticality and the small black hole/large
phase transition always appear in $d=5$ dimensions; in the case of $d\ge 6$, to
have the $P-V$ criticality and the small black hole/large black hole phase
transition, there exists an upper bound for the parameter
$b=\widetilde{\alpha}|Q|^{-2/(d-3)}$, where $\tilde {\alpha}$ is the
Gauss-Bonnet coefficient and $Q$ is the charge of the black hole. We calculate
the critical exponents at the critical point and find that for all cases, they
are the same as those in the van der Waals liquid-gas system.


title: Colocalization and cotilting for commutative noetherian rings

abstract:
  For a commutative noetherian ring R, we investigate relations between tilting
and cotilting modules in Mod-R and Mod-R_m where m runs over the maximal
spectrum of R. For each finite n, we construct a 1-1 correspondence between
(equivalence classes of) n-cotilting R-modules C and (equivalence classes of)
compatible families F of n-cotilting R_m-modules (m \in mSpec R). It is induced
by the assignment C |-> (C^m ; m \in mSpec R) where C^m is the colocalization
of C at m, and its inverse F |-> \prod_{M \in F} M. We construct a similar
correspondence for n-tilting modules using compatible families of
localizations; however, there is no explicit formula for the inverse.


title:
Universality of nucleon-nucleon short-range correlations and nucleon
  momentum distributions

abstract:
  By analyzing recent microscopic many-body calculations of few-nucleon systems
and complex nuclei performed by different groups in terms of realistic
nucleon-nucleon (NN) interactions, it is shown that NN short-range correlations
(SRCs) have a universal character, in that the correlation hole that they
produce in nuclei appears to be almost A-independent and similar to the
correlation hole in the deuteron. The correlation hole creates high-momentum
components, missing in a mean-field (MF) description and exhibiting several
scaling properties and a peculiar spin-isospin structure. In particular, the
momentum distribution of a pair of nucleons in spin-isospin state $(ST)=(10)$,
depending upon the pair relative ($k_{rel}$) and center-of-mass (c.m.)
($K_{c.m.}$) momenta, as well as upon the angle $\Theta$ between them, exhibits
a remarkable property: in the region $k_{rel}\gtrsim 2\,fm^{-1}$ and
$K_{c.m.}\lesssim 1\,fm^{-1} $, the relative and c.m. motions are decoupled and
the two-nucleon momentum distribution factorizes into the deuteron momentum
distribution and an A-dependent momentum distribution describing the c.m.
motion of the pair in the medium. The impact of these and other properties of
one- and two-nucleon momentum distributions on various nuclear phenomena, on ab
initio calculations in terms of low-momentum interactions, as well as on
ongoing experimental investigations of SRCs, are briefly commented.


title:
Effect of Ising-type Tb$^{3+}$ ions on the low-temperature magnetism of
  La, Ca cobaltite

abstract:
  Crystal and magnetic structures of the $x=0.2$ member of La$_{\rm
0.8-x}$Tb$_{\rm x}$Ca$_{0.2}$CoO$_3$ perovskite series have been determined
from the powder neutron diffraction. Enhancement of the diffraction peaks due
to ferromagnetic or cluster glass ordering is observed below $T_C=55$ K. The
moments evolve at first on Co sites, and ordering of Ising-type Tb$^{3+}$
moments is induced at lower temperatures by a molecular field due to Co ions.
The final magnetic configuration is collinear F$_x$ for cobalt subsystem, while
it is canted F$_x$C$_y$ for terbium ions. The rare-earth moments align along
local Ising axes within \textit{ab}-plane of the orthorhombic $Pbnm$ structure.
The behavior in external fields up to $70-90$ kOe has been probed by the
magnetization and heat capacity measurements. The dilute terbium ions
contribute to significant coercivity and remanence that both steeply increase
with decreasing temperature. A remarkable manifestation of the Tb$^{3+}$ Ising
character is the observation of a low-temperature region of anomalously large
linear term of heat capacity and its field dependence. Similar behaviours are
detected also for other terbium dopings $x=0.1$ and 0.3.


title: On the spreading layer emission in luminous accreting neutron stars

abstract:
  Emission of the neutron star surface potentially contains information about
its size and thus of vital importance for high energy astrophysics. In spite of
the wealth of data on the emission of luminous accreting neutron stars, the
emission of their surfaces is hard to disentangle from their time averaged
spectra. A recent X-ray transient source XTE J1701-462 has provided a unique
dataset covering the largest ever observed luminosity range for a single
source. In this paper, we extract the spectrum of the boundary layer between
the inner part of the accretion disc and the neutron star surface with the help
of maximally spectral model-independent method. We show compelling evidences
that the energy spectrum of the boundary layer stays virtually the same over
factor of 20 variations of the source luminosity. It is rather wide and cannot
be described by a single temperature blackbody spectrum, probably because of
the inhomogeneity of the boundary layer and a spread in the colour temperature.
The observed maximum colour temperature of the boundary/spreading layer
emission of kT~2.4-2.6 keV is very close to the maximum observed colour
temperature in the photospheric radius expansion X-ray bursts, which is set by
the limiting Eddington flux at the neutron star surface. Observed stability of
the boundary layer spectrum and its maximum colour temperature strongly
supports theoretical models of the boundary/spreading layers on surfaces of
luminous accreting neutron stars, which assume the presence of a region
emitting at the local Eddington limit. Variations in the luminosity in that
case lead to changes in the size of this region, but affect less the spectral
shape. Elaboration of this model will provide solid theoretical grounds for
measurements of the neutron star sizes using the emission of the
boundary/spreading layers of luminous accreting neutron stars.


title: On a dyadic approximation of predictable processes of finite variation

abstract:
  We show that any cadlag predictable process of finite variation is an a.s.
limit of elementary predictable processes; it follows that predictable stopping
times can be approximated `from below' by predictable stopping times which take
finitely many values. We then obtain as corollaries two classical theorems:
predictable stopping times are announceable, and an increasing process is
predictable iff it is natural.


title: Near-Optimal Adaptive Compressed Sensing

abstract:
  This paper proposes a simple adaptive sensing and group testing algorithm for
sparse signal recovery. The algorithm, termed Compressive Adaptive Sense and
Search (CASS), is shown to be near-optimal in that it succeeds at the lowest
possible signal-to-noise-ratio (SNR) levels, improving on previous work in
adaptive compressed sensing. Like traditional compressed sensing based on
random non-adaptive design matrices, the CASS algorithm requires only k log n
measurements to recover a k-sparse signal of dimension n. However, CASS
succeeds at SNR levels that are a factor log n less than required by standard
compressed sensing. From the point of view of constructing and implementing the
sensing operation as well as computing the reconstruction, the proposed
algorithm is substantially less computationally intensive than standard
compressed sensing. CASS is also demonstrated to perform considerably better in
practice through simulation. To the best of our knowledge, this is the first
demonstration of an adaptive compressed sensing algorithm with near-optimal
theoretical guarantees and excellent practical performance. This paper also
shows that methods like compressed sensing, group testing, and pooling have an
advantage beyond simply reducing the number of measurements or tests --
adaptive versions of such methods can also improve detection and estimation
performance when compared to non-adaptive direct (uncompressed) sensing.


title: Spin squeezing in a Rydberg lattice clock

abstract:
  Squeezed many-body states of atoms are a valuable resource for high precision
frequency metrology and could tremendously boost the performance of atomic
lattice clocks. Here, we theoretically demonstrate a viable approach to spin
squeezing in lattice clocks via optical dressing of one clock state to a highly
excited Rydberg state, generating switchable atomic interactions. For realistic
experimental parameters, this is shown to generate over 10 dB of squeezing in a
few microseconds interaction time without affecting the subsequent clock
interrogation.


title:
Nuclear Level Density within Extended Superfluid Model with Collective
  State Enhancement

abstract:
  For nuclear level densities, a modification of an enhanced generalized
superfluid model with different collective state enhancement factors is
studied. An effect of collective states on forming the temperature is taken
into account. The ready-to-use tables for the asymptotic value of $a$-parameter
of level density as well as for addition shift to excitation energy are
prepared using the chi-square fit of the theoretical values of neutron
resonance spacing and cumulative number of low-energy levels to experimental
values. The systematics of these parameters as a function of mass number and
neutron excess are obtained. The collective state effect on gamma-ray spectra
and excitation functions of neutron-induced nuclear reactions is investigated
by the use of EMPIRE 3.1 code with modified enhanced generalized superfluid
model for nuclear level density.