title: Peak-to-average power ratio of good codes for Gaussian channel

abstract:
  Consider a problem of forward error-correction for the additive white
Gaussian noise (AWGN) channel. For finite blocklength codes the backoff from
the channel capacity is inversely proportional to the square root of the
blocklength. In this paper it is shown that codes achieving this tradeoff must
necessarily have peak-to-average power ratio (PAPR) proportional to logarithm
of the blocklength. This is extended to codes approaching capacity slower, and
to PAPR measured at the output of an OFDM modulator. As a by-product the
convergence of (Smith's) amplitude-constrained AWGN capacity to Shannon's
classical formula is characterized in the regime of large amplitudes. This
converse-type result builds upon recent contributions in the study of empirical
output distributions of good channel codes.


title:
Continuum percolation of overlapping discs with a distribution of radii
  having a power-law tail

abstract:
  We study continuum percolation problem of overlapping discs with a
distribution of radii having a power-law tail; the probability that a given
disc has a radius between $R$ and $R+dR$ is proportional to $R^{-(a+1)}$, where
$a > 2$. We show that in the low-density non-percolating phase, the two-point
function shows a power law decay with distance, even at arbitrarily low
densities of the discs, unlike the exponential decay in the usual percolation
problem. As in the problem of fluids with long-range interaction, we argue that
in our problem, the critical exponents take their short range values for $a > 3
- \eta_{sr}$ whereas they depend on $a$ for $a < 3-\eta_{sr}$ where $\eta_{sr}$
is the anomalous dimension for the usual percolation problem. The mean-field
regime obtained in the fluid problem corresponds to the fully covered regime,
$a \leq 2$, in the percolation problem. We propose an approximate
renormalization scheme to determine the correlation length exponent $\nu$ and
the percolation threshold. We carry out Monte-Carlo simulations and determine
the exponent $\nu$ as a function of $a$. The determined values of $\nu$ show
that it is independent of the parameter $a$ for $a>3 - \eta_{sr}$ and is equal
to that for the lattice percolation problem, whereas $\nu$ varies with $a$ for
$2<a<3 - \eta_{sr}$. We also determine the percolation threshold of the system
as a function of the parameter $a$.


title: Frequency Adapted Phase Transition of Interacting Nano-Magnetic Ensemble

abstract:
  Each single domain nano-magnet acts as a magnetic dipole in addition it
oscillates its magnetization about the easy axis and rotates coherently
depending upon temperature and anisotropy. In an ensemble of nano-magnets, the
relaxation time of a nano-magnet tunes with the long range dipolar interaction
which in turn is determined by the particle size, density and the number of
nano-magnets present in the ensemble. Hence, the aggregation of interacting
nano-magnetic dipoles, demonstrates both experimentally and theoretically as a
model system to detect intriguing co-operative physical phenomena. Here we show
a new variant of phase transition from paramagnetic to diamagnetic phase by
changing the frequency of the applied sinusoidal magnetic field for a
nano-magnetic ensemble. This phenomenon unravels a new insight of physics and
it may be significant on the design and development of magnetic devices. The
simulation of the system is well in agreement with the experimental results.


title: Strongly first order melting of a two dimensional molecular solid

abstract:
  Melting and freezing transitions in two dimensional systems are known to show
highly unusual characteristics. Most of the earlier studies considered atomic
systems; the melting behavior in two dimensional molecular solids is still
largely unexplored. In order to understand the role of multiple energy and
length scales present in molecular systems on nature of melting transition,
here we report computer simulation studies of melting of a two dimensional
Mercedes-Benz (MB) system. We find that the interplay between the strength of
isotropic and anisotropic interactions can give rise to rich phase diagram. The
computed solid-liquid phase diagram consists of isotropic liquid and two
crystalline phases - honeycomb and oblique. In contradiction to the celebrated
KTHNY theory, we observe strongly one step first order melting transitions for
both the honeycomb and oblique solids. The defects in both solids and liquids
near the transition are more complex compared to the atomic systems.


title: Universal impurity-induced bound state in topological superfluids

abstract:
  We predict a universal mid-gap bound state in topological superfluids,
induced by either non-magnetic or magnetic impurities in the strong scattering
limit. This universal state is similar to the lowest-energy Caroli-de
Gennes-Martricon bound state in a vortex core, but is bound to localized
impurities. We argue that the observation of such a universal bound state can
be a clear signature for identifying topological superfluids. We theoretically
examine our argument for a spin-orbit coupled ultracold atomic Fermi gas
trapped in a two-dimensional harmonic potential, by performing extensive
self-consistent calculations within the mean-field Bogoliubov-de Gennes theory.
A realistic scenario for observing universal bound state in ultracold $^{40}$K
atoms is proposed.

categories: cond-mat.quant-gas cond-mat.mes-hall cond-mat.str-el cond-mat.supr-con


title: Radiative Processes in Quark-Gluon Plasma

abstract:
  The spectrum of emitted gluons from the process $\mathrm{gg\rightarrow ggg}$
has been evaluated by relaxing some of the approximations used in earlier
works. The formula obtained in the present work has been applied to several
physical quantities. A general expression for the dead cone of gluons radiated
by virtual partons has been derived. It is observed that the suppression caused
by the high virtuality is overwhelmingly large as compared to that on account
of conventional dead-cone of heavy quarks.


title:
Quantum Hacking on Continuous-Variable Quantum Key Distribution System
  using a Wavelength Attack

abstract:
  The security proofs of continuous-variable quantum key distribution are based
on the assumptions that the eavesdropper can neither act on the local
oscillator nor control Bob's beam splitter. These assumptions may be invalid in
practice due to potential imperfections in the implementations of such
protocols. In this paper, we consider the problem of transmitting the local
oscillator in a public channel and propose a wavelength attack which can allow
the eavesdropper to control the intensity transmission of Bob's beam splitter
by switching the wavelength of the input light. Specifically we target
continuous-variable quantum key distribution systems that use the heterodyne
detection protocol using either direct or reverse reconciliation. Our attack is
proved to be feasible and renders all of the final key shared between the
legitimate parties insecure, even if they have monitored the intensity of the
local oscillator. To prevent our attack on commercial systems, a simple
wavelength filter should be added before performing the monitoring detection.


title: WMAP9 and the single field models of inflation

abstract:
  Using the latest release from WMAP, I find that for a reasonable number of
e-folds the tree-level potential with self coupling power p=3 is now excluded
from the 2-sigma region, the axion monodromy model with the power alpha=2/3 is
now excluded from the 1-sigma confidence region for N=47 e-folds and for N=61.
alpha=2/5 is also excluded from the 2-sigma region for N=61. I also find that
since the upper bound on the running has been reduced, a significant abundance
of PBHs requires fractional powers of self-coupling in the Hilltop-type model.


title: Quadric invariants and degeneration in smooth-etale cohomology

abstract:
  For a regular pair $(X,Y)$ of schemes of pure codimension 1 on which 2 is
invertible, we consider quadric bundles on $X$ which are nondegenerate on
$X-Y$, but are minimally degenerate on $Y$. We give a formula for the behaviour
of the cohomological invariants (characteristic classes) of the nondegenerate
quadric bundle on $X-Y$ under the Gysin boundary map to the etale cohomology of
$Y$ with mod 2 coefficients.
  The results here are the algebro-geometric analogs of topological results for
complex bundles proved earlier by Holla and Nitsure, continuing further the
algebraization program which was commenced with a recent paper by Bhaumik. We
use algebraic stacks and their smooth-etale cohomologies, $A^1$-homotopies and
Gabber's absolute purity theorem as algebraic replacements for the topological
methods used earlier, such as CW complexes, real homotopies, Riemannian metrics
and tubular neighbourhoods. Our results also hold in smooth-etale cohomology
for quadric bundles over algebraic stacks on which 2 is invertible.


title: Gauss-Bonnet dark energy by Lagrange multipliers

abstract:
  A string-inspired effective theory of gravity, containing Gauss-Bonnet
invariant interacting with a scalar field, is considered in view of obtaining
cosmological dark energy solutions. A Lagrange multiplier is inserted into the
action in order to achieve the cosmological reconstruction by selecting
suitable forms of couplings and potentials. Several cosmological exact
solutions (including dark energy of quintessence, phantom or Little Rip type)
are derived in presence and in absence of the Lagrange multiplier showing the
difference in the two dynamical approaches. In the models that we consider, the
Lagrange multiplier behaves as a sort of dust fluid that realizes the
transitions between matter dominated and dark energy epochs. The relation
between Lagrange multipliers and Noether symmetries is discussed.


title: Testing For Azimuthal Abundance Gradients In M101

abstract:
  New optical spectra of 28 H II regions in the M101 disk have been obtained,
yielding 10 new detections of the [O III]{\lambda}4363 auroral line. The oxygen
abundance gradient measured from these data, combined with previous
observations, displays a local scatter of 0.15+/-0.03 dex along an arc in the
west side of the galaxy, compared with a smaller scatter of 0.08+/-0.01 dex in
the rest of the disk. One of the H I I regions in our sample (H27) has a
significantly lower oxygen abundance than surrounding nebulae at a similar
galactocentric distance, while an additional, relatively nearby one (H128) was
already known to have a high oxygen abundance for its position in the galaxy.
These results represent marginal evidence for the existence of moderate
deviations from chemical abundance homogeneity in the interstellar medium of
M101. Using a variety of strong-line abundance indicators, we find no evidence
for significant large-scale azimuthal variations of the oxygen abundance across
the whole disk of the galaxy.


title:
Suzaku observations of Abell 1835 outskirts: Deviation from hydrostatic
  equilibrium

abstract:
  We present results of four-pointing Suzaku X-ray observations (total ~200 ks)
of the intracluster medium (ICM) in the Abell 1835 galaxy cluster (kT ~ 8 keV,
z = 0.253) out to the virial radius (r_vir ~ 2.9 Mpc) and beyond. Faint X-ray
emission from the ICM out to r_vir is detected. The temperature gradually
decreases with radius from ~8 keV in the inner region to ~2 keV at r_vir. The
entropy profile is shown to flatten beyond r_500, in disagreement with the
r_1.1 dependence predicted from the accretion shock heating model. The thermal
pressure profile in the range 0.3r_500 < r < r_vir agrees well with that
obtained from the stacked Sunyaev-Zel'dovich effect observations with the
Planck satellite. The hydrostatic mass profile in the cluster outskirts (r_500
< r < r_vir) falls well short of the weak lensing one derived from
Subaru/Suprime-Cam observations, showing an unphysical decrease with radius.
The gas mass fraction at r_vir defined with the lensing total mass agrees with
the cosmic baryon fraction from the WMAP 7-year data. All these results
indicate, rather than the gas-clumping effect, that the bulk of the ICM in the
cluster outskirts is far from hydrostatic equilibrium and infalling matter
retained some of its kinetic energy. Finally, combining with our recent Suzaku
and lensing analysis of Abell 1689, a cluster of similar mass, temperature, and
redshift, we show that the cluster temperature distribution in the outskirts is
significantly correlated with the galaxy density field in the surrounding
large-scale environment at (1-2)r_vir.


title:
Optical Pulse Dynamics in Active Metamaterials with Positive and
  Negative Refractive Index

abstract:
  We study numerically the propagation of two-color light pulses through a
metamaterial doped with active atoms such that the carrier frequencies of the
pulses are in resonance with two atomic transitions in the $\Lambda$
configuration and that one color propagates in the regime of positive
refraction and the other in the regime of negative refraction. In such a
metamaterial, one resonant color of light propagates with positive and the
other with negative group velocity. We investigate nonlinear interaction of
these forward- and backward-propagating waves, and find self-trapped waves,
counter-propagating radiation waves, and hot spots of medium excitation.


title:
The organic functional group effect on the electronic structure of
  graphene nano-ribbon: A first-principles study

abstract:
  We report a first-principles study of the electronic structure of
functionalized graphene nano-ribbon (aGNRs-f) by organic functional group
(CH2C6H5) and find that CH2C6H5 functionalized group does not produce any
electronic states in the gap and the band gap is direct. By changing both the
density of the organic functional group and the width of the aGNRs-f, a band
gap tuning exhibits a fine three family behavior through the side effect.
Meanwhile, the carriers at conduction band minimum and valence band maximum are
located in both CH2C6H5 and aGNR regions when the density of the CH2C6H5 is
big; while they distribute dominantly in aGNR conversely. The band gap
modulation effects make the aGNRs-f good candidates with high quantum
efficiency and much more wavelength choices range from 750 to 93924 nm both for
lasers, light emitting diodes and photo detectors due to the direct band gap
and small carrier effective masses.


title:
An extended family of circular distributions related to wrapped Cauchy
  distributions via Brownian motion

abstract:
  We introduce a four-parameter extended family of distributions related to the
wrapped Cauchy distribution on the circle. The proposed family can be derived
by altering the settings of a problem in Brownian motion which generates the
wrapped Cauchy. The densities of this family have a closed form and can be
symmetric or asymmetric depending on the choice of the parameters.
Trigonometric moments are available, and they are shown to have a simple form.
Further tractable properties of the model are obtained, many by utilizing the
trigonometric moments. Other topics related to the model, including alternative
derivations and M\"{o}bius transformation, are considered. Discussion of the
symmetric submodels is given. Finally, generalization to a family of
distributions on the sphere is briefly made.


title:
Combined Effects of Binaries and Stellar Rotation on the Color-Magnitude
  Diagrams of Intermediate-Age Star Clusters

abstract:
  About seventy percent of intermediate-age star clusters in the Large
Magellanic Clouds have been confirmed to have broad main sequence, multiple or
extended turn-offs and dual red giant clumps. The observed result seems against
the classical idea that such clusters are simple stellar populations. Although
many models have been used for explaining the results via factors such as
prolonged star formation history, metallicity spread, differential redenning,
selection effect, observational uncertainty, stellar rotation, and binary
interaction, the reason for the special color-magnitude diagrams is still
uncertain. We revisit this question via the combination of stellar rotation and
binary effects. As a result, it shows "golf club" color-magnitude diagrams with
broad or multiple turn-offs, dual red clump, blue stragglers, red stragglers,
and extended main sequences. Because both binaries and massive rotators are
common, our result suggests that most color-magnitude diagrams including
extended turn-off or multiple turn-offs can be explained using simple stellar
populations including both binary and stellar rotation effects, or composite
populations with two components.


title:
Using colours to determine the stellar ages and metallicities of distant
  galaxies

abstract:
  The determination of stellar populations of galaxies are important for
studying the formation and evolution of galaxies, because all galaxies contain
many stars and they evolve with galaxies. Spectra data are usually used to
determine the stellar populations of nearby galaxies as they have the ability
to disentangle the degeneracy between stellar age and metallicity. However, it
is difficult to give similar studies to distant (e.g., $z >$ 0.3) galaxies
because of the lack of reliable spectra data. This is actually limited by
current observational equipments and methods. In fact, the information of the
stellar ages and metallicities of distant galaxies are crucial for solving the
problem of galaxy formation and evolution. Colours can give us some information
of the stellar populations of distant galaxies. In the paper, I introduce our
works about using colours to estimate the ages and metallicities of the stellar
populations of galaxies. Some potential colours for studying stellar-population
parameters (age and metallicity) and their sensitivities to stellar-population
parameters are reviewed. A new composite stellar population model that includes
both single stars and binary stars is also introduced.


title: Rapid Binary Stellar Population Synthesis

abstract:
  Binary stars are common and it is necessary to model stellar populations
using binary stars. We introduce a method to model binary-star stellar
populations quickly. The method can also be used to model single-star stellar
populations. The method is called rapid stellar population synthesis and it is
based on a statistical isochrone database of both single- and bianry-star
stellar populations. The database can be obtained easily from the CDS (or on
request to the authors) and can be used conveniently for most stellar
population studies and colour-magnitude fits. The main feature of using such a
technique for modeling stellar populations is that it can save much computing
time. Comparing to the method which evolves binary-stars using stellar
evolution codes directly, the rapid stellar population synthesis method takes
only one of 200,000 of the computing time. Although we can use the database to
model stellar populations quickly, the involved uncertainties in spectra
synthesis is small ($\sim$ 0.8%). I also introduce the method that uses the
spectral energy distributions (SEDs) of single stellar populations to model the
SEDs of composite populations.


title: A Binary Study of Colour-Magnitude Diagrams of 12 Globular Clusters

abstract:
  Binary stars are common in star clusters and galaxies, but the detailed
effects of binary evolution are not taken into account in some colour-magnitude
diagram (CMD) studies. This paper studies the CMDs of twelve globular clusters
via binary-star stellar populations. The observational CMDs of star clusters
are compared to those of binary-star populations, and then the stellar
metallicities, ages, distances and reddening values of these star clusters are
obtained. The paper also tests the different effects of binary and single stars
on CMD studies. It is shown that binaries can fit the observational CMDs of the
sample globular clusters better compared to single stars. This suggests that
the effects of binary evolution should be considered when modeling the CMDs and
stellar populations of star clusters and galaxies.


title: A Survey on Array Storage, Query Languages, and Systems

abstract:
  Since scientific investigation is one of the most important providers of
massive amounts of ordered data, there is a renewed interest in array data
processing in the context of Big Data. To the best of our knowledge, a unified
resource that summarizes and analyzes array processing research over its long
existence is currently missing. In this survey, we provide a guide for past,
present, and future research in array processing. The survey is organized along
three main topics. Array storage discusses all the aspects related to array
partitioning into chunks. The identification of a reduced set of array
operators to form the foundation for an array query language is analyzed across
multiple such proposals. Lastly, we survey real systems for array processing.
The result is a thorough survey on array data storage and processing that
should be consulted by anyone interested in this research topic, independent of
experience level. The survey is not complete though. We greatly appreciate
pointers towards any work we might have forgotten to mention.


title: Application of Binary Evolution in Astrophysical Studies

abstract:
  Binary stars evolve differently from single stars, thus binary evolution is
very useful for astrophysical studies. This paper discusses the application of
binary evolution in the studies of stars, star clusters, galaxies, and
cosmology. In particular, I concentrate on the use of binary evolution in
colour-magnitude diagram and spectral energy distribution studies of star
clusters and galaxies.


title: Entanglement dynamics in finite qudit chain in consistent magnetic field

abstract:
  Based on the Liouville-von Neumann equation, we obtain a closed system of
equations for the description of a qutrit or coupled qutrits in an arbitrary,
time-dependent, external magnetic field. The dependence of the dynamics on the
initial states and the magnetic field modulation is studied analytically and
numerically. We compare the relative entanglement measure's dynamics in
bi-qudits with permutation particle symmetry. We find the magnetic field
modulation which retains the entanglement in the system of two coupled qutrits.
Analytical formulae for the entanglement measures in finite chains from 2 to 6
qutrits or 3 quartits are presented.


title:
New class of Very High Energy gamma-ray emitter: radio-dark mini-shells
  surrounding AGN jets

abstract:
  We explore non-thermal emission from a shocked interstellar medium, which is
identified as an expanding shell, driven by a relativistic jet in active
galactic nuclei (AGNs). In this work, we particularly focus on parsec-scale
size mini-shells surrounding mini radio lobes. From radio to X-ray band, the
mini radio lobe emission dominates the faint emission from the mini-shell. On
the other hand, we find that inverse-Compton (IC) emission from the shell can
overwhelm the associated lobe emission at very high energy (VHE; E>100 GeV)
gamma-ray range, because energy densities of synchrotron photons from the lobe
and/or soft photons from the AGN nucleus are large and IC scattering
effectively works. The predicted IC emission from nearby mini-shells can be
detected with the Cherencov Telescope Array (CTA) and they are potentially a
new class of VHE gamma-ray emitters.


title:
B\"acklund transformation and smooth multisoliton solutions for a
  modified Camassa-Holm equation with cubic nonlinearity

abstract:
  We present a compact parametric representation of the smooth bright
multisolution solutions for the modified Camassa-Holm (mCH) equation with cubic
nonlinearity. We first transform the mCH equation to an associated mCH equation
through a reciprocal transformation and then find a novel B\"acklund
transformation between solutions of the associated mCH equation and a model
equation for shallow-water waves (SWW) introduced by Ablowitz {\it at al}. We
combine this result with the expressions of the multisoliton solutions for the
SWW and modified Korteweg-de Vries equations to obtain the multisoliton
solutions of the mCH equation. Subsequently, we investigate the properties of
the one- and two-soliton solutions as well as the general multisoliton
solutions. We show that the smoothness of the solutions is assured only if the
amplitude parameters of solitons satisfy certain conditions. We also find that
at a critical value of the parameter beyond which the solution becomes
singular, the soliton solution exhibits a different feature from that of the
peakon solution of the CH equation. Then, by performing an asymptotic analysis
for large time, we obtain the formula for the phase shift and confirm the
solitonic nature of the multisoliton solutions. Last, we use the B\"acklund
transformation to derive an infinite number of conservation laws of the mCH
equation.


title:
Electronic properties and Fermi surface for new Fe-free layered
  superconductor BaTi2Bi2O from first principles

abstract:
  Very recently, as an important step in the development of layered Fe-free
pnictide-oxide superconductors, the new phase BaTi2Bi2O was discovered which
has the highest TC (about 4.6 K) among all related non-doped systems. In this
Letter, we report for the first time the electronic bands, Fermi surface
topology, total and partial densities of electronic states for BaTi2Bi2O
obtained by means of the first-principles FLAPW-GGA calculations. The
inter-atomic bonding picture is described as a high-anisotropic mixture of
metallic, covalent, and ionic contributions. Besides, the structural and
electronic factors, which can be responsible for the increased transition
temperature for BaTi2Bi2O (as compared with related pnictide-oxides BaTi2As2O
and BaTi2Sb2O), are discussed.


title:
Scalar evolution equations for shear waves in incompressible solids: A
  simple derivation of the Z, ZK, KZK, and KP equations

abstract:
  We study the propagation of two-dimensional finite-amplitude shear waves in a
nonlinear pre-strained incompressible solid, and derive several asymptotic
amplitude equations in a simple, consistent, and rigorous manner. The scalar
Zabolotskaya (Z) equation is shown to be the asymptotic limit of the equations
of motion for all elastic generalized neo-Hookean solids (with strain energy
depending only on the first principal invariant of Cauchy-Green strain).
However, we show that the Z equation cannot be a scalar equation for the
propagation of two-dimensional shear waves in general elastic materials (with
strain energy depending on the first and second principal invariants of
strain). Then we introduce dispersive and dissipative terms to deduce the
scalar Kadomtsev-Petviashvili (KP), Zabolotskaya-Khokhlov (ZK) and
Khokhlov-Zabolotskaya-Kuznetsov (KZK) equations of incompressible solid
mechanics.


title:
A Robbins-Monro procedure for the estimation of parametric deformations
  on random variables

abstract:
  The paper is devoted to the study of a parametric deformation model of
independent and identically random variables. Firstly, we construct an
efficient and very easy to compute recursive estimate of the parameter. Our
stochastic estimator is similar to the Robbins-Monro procedure where the
contrast function is the Wasserstein distance. Secondly, we propose a recursive
estimator similar to that of Parzen-Rosenblatt kernel density estimator in
order to estimate the density of the random variables. This estimate takes into
account the previous estimation of the parameter of the model. Finally, we
illustrate the performance of our estimation procedure on simulations for the
Box-Cox transformation and the arcsinh transformation.


title: Canonical and kinetic decompositions of the proton spin

abstract:
  We propose a short summary of the present situation concerning the proton
spin decomposition. We briefly discuss some of the main controversies about the
issues of gauge invariance, uniqueness and measurability. As a conclusion, we
argue that part of the controversies is actually undecidable.


title:
Convex Hull Property and Maximum Principle for Finite Element Minimisers
  of General Convex Functionals

abstract:
  The convex hull property is the natural generalization of maximum principles
from scalar to vector valued functions. Maximum principles for finite element
approximations are often crucial for the preservation of qualitative properties
of the respective physical model. In this work we develop a convex hull
property for $\P_1$ conforming finite elements on simplicial non-obtuse meshes.
The proof does not resort to linear structures of partial differential
equations but directly addresses properties of the minimiser of a convex energy
functional. Therefore, the result holds for very general nonlinear partial
differential equations including e.g. the $p$-Laplacian and the mean curvature
problem. In the case of scalar equations the introduce techniques can be used
to prove standard discrete maximum principles for nonlinear problems. We
conclude by proving a strong discrete convex hull property on strictly acute
triangulations.


title: Role of AGNs in the Luminous Infrared Galaxy phase since z ~ 3

abstract:
  In order to understand the interactions between active galactic nuclei (AGN)
and star formation during the evolution of galaxies, we investigate 142
galaxies detected in both X-ray and 70{\mu}m observations in the COSMOS (Cosmic
Evolution Survey) field. All of our data are obtained from the archive, X-ray
point source catalogs from Chandra and XMM-Newton observations; far-infrared
70{\mu}m point source catalog from Spitzer-MIPS observations. Although the IRAC
[3.6{\mu}m]-[4.5{\mu}m] vs. [5.8{\mu}m]-[8.0{\mu}m] colours of our sample
indicate that only ~63% of our sources would be classified as AGN, the ratio of
the rest-frame 2-10 keV luminosity to the total infrared luminosity
(8-1000{\mu}m) shows that all of the sample has comparatively higher X-ray
luminosity than that expected from pure star-forming galaxies, suggesting the
presence of an AGN in all of our sources. From the analysis of the X-ray
hardness ratio, we find that sources with both 70{\mu}m and X-ray detection
tend to have a higher hardness ratio relative to the whole X-ray selected
source population, suggesting the presence of more X-ray absorption in the
70{\mu}m detected sources. In addition, we find that the observed far-infrared
colours of 70{\mu}m detected sources with and without X-ray emission are
similar, suggesting the far-infrared emission could be mainly powered by star
formation.


title: Inference for modulated stationary processes

abstract:
  We study statistical inferences for a class of modulated stationary processes
with time-dependent variances. Due to non-stationarity and the large number of
unknown parameters, existing methods for stationary, or locally stationary,
time series are not applicable. Based on a self-normalization technique, we
address several inference problems, including a self-normalized central limit
theorem, a self-normalized cumulative sum test for the change-point problem, a
long-run variance estimation through blockwise self-normalization, and a
self-normalization-based wild bootstrap. Monte Carlo simulation studies show
that the proposed self-normalization-based methods outperform
stationarity-based alternatives. We demonstrate the proposed methodology using
two real data sets: annual mean precipitation rates in Seoul from 1771-2000,
and quarterly U.S. Gross National Product growth rates from 1947-2002.


title: A Bayesian nonparametric approach to modeling market share dynamics

abstract:
  We propose a flexible stochastic framework for modeling the market share
dynamics over time in a multiple markets setting, where firms interact within
and between markets. Firms undergo stochastic idiosyncratic shocks, which
contract their shares, and compete to consolidate their position by acquiring
new ones in both the market where they operate and in new markets. The model
parameters can meaningfully account for phenomena such as barriers to entry and
exit, fixed and sunk costs, costs of expanding to new sectors with different
technologies and competitive advantage among firms. The construction is
obtained in a Bayesian framework by means of a collection of nonparametric
hierarchical mixtures, which induce the dependence between markets and provide
a generalization of the Blackwell-MacQueen P\'{o}lya urn scheme, which in turn
is used to generate a partially exchangeable dynamical particle system. A
Markov Chain Monte Carlo algorithm is provided for simulating trajectories of
the system, by means of which we perform a simulation study for transitions to
different economic regimes. Moreover, it is shown that the infinite-dimensional
properties of the system, when appropriately transformed and rescaled, are
those of a collection of interacting Fleming-Viot diffusions.


title: De Rahm cohomology of local cohomology modules

abstract:
  Let $K$ be a field of characteristic zero, $R = K[X_1,...,X_n]$ and let $I$
be an ideal in $R$. Let $A_n(K) = K<X_1,...,X_n, \partial_1,..., \partial_n>$
be the $n^{th}$ Weyl algebra over $K$. By a result due to Lyubeznik the local
cohomology modules $H^i_I(R)$ are holonomic $A_n(K)$-modules for each $i \geq
0$. In this article we compute the Koszul homology modules
$H_*(\partial_1,...,\partial_n ; H^*_I(R))$ for certain classes of ideals.


title: Effect of Compressibility on the Annihilation Process

abstract:
  Annihilation processes, where the reacting particles are influenced by some
external advective field, are one of the simplest examples of nonlinear
statistical systems. This type of processes can be observed in miscellaneous
chemical, biological or physical systems. In low space dimensions usual
description by means of kinetic rate equation is not sufficient and the effect
of density fluctuations must be taken into ac- count. Using perturbative
renormalization group we study the influ- ence of random velocity field on the
kinetics of single-species annihila- tion reaction at and below its critical
dimension $d_c = 2$. The advecting velocity field is modelled by the
self-similar in space Gaussian variable finite correlated in time
(Antonov-Kraichnan model). Effect of the compressibility of velocity field is
taken into account and the model is analyzed near its critical dimension by
means of three-parameter expansion in $\epsilon$, $\Delta$ and $\eta$. Here
$\epsilon$ is the deviation from the Kolmogorov scaling, $\Delta$ is the
deviation from the (critical) space dimension 2 and {\eta} is the deviation
from the parabolic dispersion law. Depending on the value of these exponents
and the value of compressiblity parameter {\alpha}, the studied model can
exhibit various asymptotic (long-time) regimes corresponding to the infrared
(IR) fixed points of the renormalization group. The possible regimes are
summarized and the decay rates for the mean particle number are calculated in
the leading order of the perturbation theory.


title:
On the Cauchy problem for a model equation for shallow water waves of
  moderate amplitude

abstract:
  We prove the local well-posedness for a nonlinear equation modeling the
evolution of the free surface for waves of moderate amplitude in the shallow
water regime.


title:
On the Cauchy problem for a general fractional porous medium equation
  with variable density

abstract:
  We study the well-posedness of the Cauchy problem for a fractional porous
medium equation with a varying density. We establish existence of weak energy
solutions; uniqueness and nonuniqueness is studied as well, according with the
behavior of the density at infinity.


title: Real-Time Phase Masks for Interactive Stimulation of Optogenetic Neurons

abstract:
  Experiments with networks of optogenetically altered neurons require
stimulation with high spatio-temporal selectivity. Computer-assisted holography
is an energy-efficient method for robust and reliable addressing of single
neurons on the millisecond-timescale inherent to biologial information
processing. We show that real-time control of neurons can be achieved by a
CUDA-based hologram computation.


title:
An A(oo)-structure on the cohomology ring of the symmetric group Sp with
  coefficients in Fp

abstract:
  Let p be a prime. Let FpSp be the group algebra of the symmetric group over
the finite field Fp with |Fp|=p$. Let Fp be the trivial FpSp-module. We present
a projective resolution PRes Fp of the module Fp and equip the Yoneda algebra
Ext(Fp,Fp) with an A(oo)-structure such that Ext(Fp,Fp) becomes a minimal model
of the dg-algebra Hom(PRes Fp, PRes Fp).


title:
Parameter estimation and model testing for Markov processes via
  conditional characteristic functions

abstract:
  Markov processes are used in a wide range of disciplines, including finance.
The transition densities of these processes are often unknown. However, the
conditional characteristic functions are more likely to be available,
especially for L\'{e}vy-driven processes. We propose an empirical likelihood
approach, for both parameter estimation and model specification testing, based
on the conditional characteristic function for processes with either continuous
or discontinuous sample paths. Theoretical properties of the empirical
likelihood estimator for parameters and a smoothed empirical likelihood ratio
test for a parametric specification of the process are provided. Simulations
and empirical case studies are carried out to confirm the effectiveness of the
proposed estimator and test.


title: Tunable Dirac Fermion Dynamics in Topological Insulators

abstract:
  Three-dimensional topological insulators are characterized by insulating bulk
state and metallic surface state involving Dirac fermions that behave as
massless relativistic particles. These Dirac fermions are responsible for
achieving a number of novel and exotic quantum phenomena in the topological
insulators and for their potential applications in spintronics and quantum
computations. It is thus essential to understand the electron dynamics of the
Dirac fermions, i.e., how they interact with other electrons, phonons and
disorders. Here we report super-high resolution angle-resolved photoemission
studies on the Dirac fermion dynamics in the prototypical Bi2(Te,Se)3
topological insulators. We have directly revealed signatures of the
electron-phonon coupling in these topological insulators and found that the
electron-disorder interaction is the dominant factor in the scattering process.
The Dirac fermion dynamics in Bi2(Te3-xSex) topological insulators can be tuned
by varying the composition, x, or by controlling the charge carriers. Our
findings provide crucial information in understanding the electron dynamics of
the Dirac fermions in topological insulators and in engineering their surface
state for fundamental studies and potential applications.


title: Simulations of the origin and fate of the Galactic Center cloud G2

abstract:
  We investigate the origin and fate of the recently discovered gas cloud G2
close to the Galactic Center. Our hydrodynamical simulations focussing on the
dynamical evolution of the cloud in combination with currently available
observations favour two scenarios: a Compact Cloud which started around the
year 1995 and an extended Spherical Shell of gas, with an apocenter distance
within the disk(s) of young stars. The former is able to explain the detected
signal of G2 in the position-velocity-diagram of the year 2008.5 and 2011.5
data. The latter can account for both, G2's signal as well as the fainter
extended tail-like structure G2t seen at larger distances to the black hole and
smaller velocities. From these first idealised simulations we expect a rise of
the current activity of Sgr A* shortly after the closest approach and a
constant feeding through a nozzle-like structure over a long period. The near
future evolution of the cloud will be a sensitive probe of the conditions of
the gas distribution in the milli-parsec environment of the massive black hole
in the Galactic Center and will also give us invaluable information of the
feeding of black holes and the activation of the central source.


title: A new, globally convergent Riemannian conjugate gradient method

abstract:
  This article deals with the conjugate gradient method on a Riemannian
manifold with interest in global convergence analysis. The existing conjugate
gradient algorithms on a manifold endowed with a vector transport need the
assumption that the vector transport does not increase the norm of tangent
vectors, in order to confirm that generated sequences have a global convergence
property. In this article, the notion of a scaled vector transport is
introduced to improve the algorithm so that the generated sequences may have a
global convergence property under a relaxed assumption. In the proposed
algorithm, the transported vector is rescaled in case its norm has increased
during the transport. The global convergence is theoretically proved and
numerically observed with examples. In fact, numerical experiments show that
there exist minimization problems for which the existing algorithm generates
divergent sequences, but the proposed algorithm generates convergent sequences.


title:
Proceedings of the 12th International Colloquium on Implementation of
  Constraint and LOgic Programming Systems

abstract:
  This volume contains the papers presented at CICLOPS'12: 12th International
Colloquium on Implementation of Constraint and LOgic Programming Systems held
on Tueseday September 4th, 2012 in Budapest.
  The program included 1 invited talk, 9 technical presentations and a panel
discussion on Prolog open standards (open.pl). Each programme paper was
reviewed by 3 reviewers.
  CICLOPS'12 continues a tradition of successful workshops on Implementations
of Logic Programming Systems, previously held in Budapest (1993) and Ithaca
(1994), the Compulog Net workshops on Parallelism and Implementation
Technologies held in Madrid (1993 and 1994), Utrecht (1995) and Bonn (1996),
the Workshop on Parallelism and Implementation Technology for (Constraint)
Logic Programming Languages held in Port Jefferson (1997), Manchester (1998),
Las Cruces (1999), and London (2000), and more recently the Colloquium on
Implementation of Constraint and LOgic Programming Systems in Paphos (2001),
Copenhagen (2002), Mumbai (2003), Saint Malo (2004), Sitges (2005), Seattle
(2006), Porto (2007), Udine (2008), Pasadena (2009), Edinburgh (2010) -
together with WLPE, Lexington (2011).
  We would like to thank all the authors, Tom Schrijvers for his invited talk,
the programme committee members, and the ICLP 2012 organisers. We would like to
also thank arXiv.org for providing permanent hosting.


title: A view of prompt atmospheric neutrinos with IceCube

abstract:
  Atmospheric neutrinos are produced in air showers, when cosmic ray primaries
hit the Earth's atmosphere and interact hadronically. The conventional neutrino
flux, which dominates the neutrino data measured in the GeV to TeV range by
neutrino telescopes, is produced by the decay of charged pions and kaons.
Prompt atmospheric neutrinos are produced by the decay of heavier mesons
typically containing a charm quark. Their production is strongly suppressed,
but they are expected to exhibit a harder energy spectrum. Hence, they could
dominate the atmospheric neutrino flux at energies above ~ 100 TeV. Such a
prompt atmospheric flux component has not yet been observed. Therefore, it is
an interesting signal in a diffuse neutrino search, but also a background in
the search for a diffuse astrophysical neutrino flux. The sensitivity of
diffuse neutrino searches with the IceCube Neutrino observatory has reached the
level of theoretical expectations of prompt neutrino fluxes, and recent results
are presented.


title:
BFKL Pomeron calculus: solution to equations for nucleus-nucleus
  scattering in the saturation domain

abstract:
  In this paper we solve the equation for nucleus-nucleus scattering in the
BFKL Pomeron calculus, suggested by Braun. We find these solutions analytically
at high energies as well as numerically in the entire region of energies inside
the saturation region. The semi-classical approximation is used to select out
the infinite set of the parasite solutions. The nucleus-nucleus cross sections
at high energy are estimated and compared with the Glauber-Gribov approach. It
turns out that the exact formula gives the estimates that are very close to the
ones based on Glauber-Gribov formula which is important for the practical
applications


title: Observational constraints on non-minimally coupled Galileon model

abstract:
  As an extension of Dvali-Gabadadze-Porrati (DGP) model, the Galileon theory
has been proposed to explain the "self-accelerating problem" and "ghost
instability problem". In this Paper, we extend the Galileon theory by
considering a non-minimally coupled Galileon scalar with gravity. The
statefinder analysis, $Om(z)$ diagnostic and constraint the model parameters
have been investigate , we find $\Omega_\text{m0}=0.263_{-0.031}^{+0.031}$,
$n=1.53_{-0.37}^{+0.21}$ (at the $95\%$ confidence level) with
$\chi^2_{\text{min}}=473.376$. Further we show that due to the SNe Ia + BAO
data ,our model behaves like a phantom-like dark energy.


title:
Symmetries and Consistency Relations in the Large Scale Structure of the
  Universe

abstract:
  We study the symmetries enjoyed by the Newtonian equations of motion of the
non-relativistic dark matter fluid coupled to gravity which give rise to the
phenomenon of gravitational instability. We also discuss some consistency
relations involving the soft limit of the (n + 1)-correlator functions of
matter and galaxy overdensities.


title: A note on a theorem of Bourbaki

abstract:
  We have recently show that Poincare series of Hyperbolic Lie algebras have
the form of a ratio between Poincare series of a chosen finite Lie algebra and
a polynomial of finite degree. By the aid of some properly chosen examples, we
now give some remarks on a related theorem of Bourbaki.


title:
Algebraic Approach for Performance Bound Calculus on Transportation
  Networks (Road Network Calculus)

abstract:
  We propose in this article an adaptation of the basic techniques of the
deterministic network calculus theory to the road traffic flow theory. Network
calculus is a theory based on min-plus algebra. It uses algebraic techniques to
compute performance bounds in communication networks, such as maximum
end-to-end delays and backlogs. The objective of this article is to investigate
the application of such techniques for determining performance bounds on road
networks, such as maximum bounds on travel times. The main difficulty to apply
the network calculus theory on road networks is the modeling of interaction of
cars inside one road, or more precisely the congestion phase. We propose a
traffic model for a single-lane road without passing, which is compatible with
the network calculus theory. The model permits to derive a maximum bound of the
travel time of cars through the road. Then, basing on that model, we explain
how to extend the approach to model intersections and large-scale networks.


title: Strong cohomological rigidity of toric varieties

abstract:
  Every cohomology ring isomorphism between two non-singular complete toric
varieties and quasitoric manifolds, respectively, with second Betti number $2$
is realizable by a diffeomorphism and homeomorphism, respectively.


title:
Maximization of Non-Concave Utility Functions in Discrete-Time Financial
  Market Models

abstract:
  This paper investigates the problem of maximizing expected terminal utility
in a (generically incomplete) discrete-time financial market model with finite
time horizon. In contrast to the standard setting, a possibly non-concave
utility function $U$ is considered, with domain of definition $\mathbb{R}$.
Simple conditions are presented which guarantee the existence of an optimal
strategy for the problem. In particular, the asymptotic elasticity of $U$ plays
a decisive role: existence can be shown when it is strictly greater at
$-\infty$ than at $+\infty$.


title: Population synthesis of Galactic subdwarf B stars

abstract:
  I briefly review the method of population synthesis of binary stars and
discuss the preliminary results of a study of the Galactic population of
subdwarf B stars. In particular I focus on the formation of (apparently) single
sdB stars and their relation to (apparently) single helium-core white dwarfs. I
discuss the merits of mergers of two helium white dwarfs and interactions with
sub-stellar companions for explaining these single objects. A preliminary
conclusion is that the current observations suggest both mechanisms may
contribute, but that the helium white dwarfs are likely formed in majority from
interactions with sub-stellar companions.


title: Maximum a posteriori estimation of piecewise arcs in tempo time-series

abstract:
  In musical performances with expressive tempo modulation, the tempo variation
can be modelled as a sequence of tempo arcs. Previous authors have used this
idea to estimate series of piecewise arc segments from data. In this paper we
describe a probabilistic model for a time-series process of this nature, and
use this to perform inference of single- and multi-level arc processes from
data. We describe an efficient Viterbi-like process for MAP inference of arcs.
Our approach is score-agnostic, and together with efficient inference allows
for online analysis of performances including improvisations, and can predict
immediate future tempo trajectories.


title:
Investigation of activation cross-section data of proton induced nuclear
  reactions on rhenium

abstract:
  In the frame of systematic investigations of activation cross-section data
for different applications the excitation functions of natRe(p,x)185Os, 183mOs,
183gOs, 182Os, 181mOs, 186gRe, 184mRe, 184gRe, 183Re, 182mRe, 182gRe and 181gRe
reactions were measured up to 70 MeV. The data for the natRe(p,x)183mOs,
183gOs, 182Os, 181gOs,186gRe, 184mRe,182mRe, 182gRe, 181Re reactions are
reported for the first time. Activation method, stacked foil irradiation
technique and gamma-spectroscopy for activity detection were used. The
experimental data were compared with predictions of three theoretical codes.
From the measured cross-section thick target integral yields were also
calculated and presented.


title: Galactic binaries with eLISA

abstract:
  I review what eLISA will see from Galactic binaries -- double stars with
orbital periods less than a few hours and white dwarf (or neutron star/black
hole) components. I discuss the currently known binaries that are guaranteed
(or verification) sources and explain why the expected total number of eLISA
Galactic binaries is several thousand, even though there are large
uncertainties in our knowledge of this population, in particular that of the
interacting AM CVn systems. I very briefly sketch the astrophysical questions
that can be addressed once these thousands of systems are detected. I close
with a short outline of the electro-magnetic facilities that will come on line
before eLISA will fly and the importance of developing analysis plans using
both electro-magnetic and gravitational wave data.


title: Nonlinear Resonance in Ho\v{r}ava-Lifshitz Bouncing Cosmologies

abstract:
  In this paper I examine the phase space dynamics in the framework of
Non-Projectable Ho\v{r}ava-Lifshitz bouncing cosmologies. By considering a
closed Friedmann-Lema\^itre-Robertson-Walker (FLRW) geometry, the first
integral contains a correction term that leads to nonsingular metastable
bounces in the early evolution of the universe. The matter content of the model
is a massive conformally coupled scalar field, dust and radiation. A
nonvanishing cosmological constant connected to a de Sitter attractor in the
phase space is also assumed. In narrow windows of the parameter space, labeled
by an integer $n\geq 2$, nonlinear resonance phenomena may destroy the KAM tori
that trap the scalar field, leading to an exit to the de Sitter attractor. As a
consequence nonlinear resonance imposes constraints on the parameters and in
the initial configurations of the models so that an accelerated expansion may
be realized.


title:
Spin relaxation and the Elliott-Yafet parameter in W(001) ultrathin
  films: surface states, anisotropy and oscillation effects

abstract:
  Using first-principles methods based on density-functional theory we
investigate the spin relaxation in W(001) ultrathin films. Within the framework
of the Elliott-Yafet theory we calculate the spin mixing of the Bloch states
and we explicitly consider spin-flip scattering off self-adatoms. We find an
oscillatory behavior of the spin-mixing parameter and relaxation rate as a
function of the film thickness, which we trace back tosurface-state properties.
We also analyze the Rashba effect experienced by the surface states and discuss
its influence on the spin relaxation. Finally we calculate the anisotropy of
the spin-relaxation rate with respect to the polarization direction of the
excited spin population relative to the crystallographic axes of thefilm. We
find that the spin-relaxation rate can increase by as much as 47% when the spin
polarization is directed out of plane, compared to the case when it is in
plane. Our calculations are based on the multiple-scattering formalism of the
Korringa-Kohn-Rostoker Green-function method.


title:
Rescalings at possible singularities of Navier-Stokes equations in half
  space

abstract:
  In the paper, we have introduced the notion of mild bounded ancient solutions
to the Navier-Stokes equations in a half space. They play a certain role in
understanding whether or not solutions to the initial boundary value problem
for the Navier-Stokes system with non-slip boundary conditions have blowups of
Type I.


title: The Logit lane assignment model: first results

abstract:
  The Logit lane assignment model has been introduced recently in order to
describe multi-lane traffic flow from a macroscopic point of view. The model is
based on the idea that each available lane has a specific utility for each
driver, who chooses the lane with the highest utility. The model is expressed
by a system of conservation laws with a smooth but implicitly defined flux
function. The first aim of the paper is to explore on two data-sets how traffic
data supports the fact that traffic speed constitutes an explanatory variable
of lane assignment. Second the paper addresses the problem of discretization of
the model. Several numerical schemes are proposed: Lax-Friedrichs,
Euler-lagrange remap, Lagrange, and their convergence properties are
illustrated on the treatment of the Riemann problem. Directions for future
research are outlined.


title:
Comparing Polarised Synchrotron and Thermal Dust Emission in the
  Galactic Plane

abstract:
  As the next step toward an improved large scale Galactic magnetic field
model, we present a simple comparison of polarised synchrotron and thermal dust
emission on the Galactic plane. We find that the field configuration in our
previous model that reproduces the polarised synchrotron is not compatible with
the WMAP 94 GHz polarised emission data. In particular, the high degree of dust
polarisation in the outer Galaxy (90deg < l < 270deg) implies that the fields
in the dust-emitting regions are more ordered than the average of
synchrotron-emitting regions. This new dust information allows us to constrain
the spatial mixing of the coherent and random magnetic field components in the
outer Galaxy. The inner Galaxy differs in polarisation degree and apparently
requires a more complicated scenario than our current model. In the scenario
that each interstellar component (including fields and now dust) follows a
spiral arm modulation, as observed in external galaxies, the changing degree of
ordering of the fields in dust-emitting regions may imply that the dust arms
and the field component arms are shifted as a varying function of
Galacto-centric radius. We discuss the implications for how the spiral arm
compression affects the various components of the magnetised interstellar
medium but conclude that improved data such as that expected from the Planck
satellite will be required for a thorough analysis.


title:
Equivalence after extension and matricial coupling coincide with Schur
  coupling, on separable Hilbert spaces

abstract:
  It is known that two Banach space operators that are Schur coupled are also
equivalent after extension, or equivalently, matricially coupled. The converse
implication, that operators which are equivalent after extension or matricially
coupled are also Schur coupled, was only known for Fredholm Hilbert space
operators and Fredholm Banach space operators with index 0. We prove that this
implication also holds for Hilbert space operators with closed range,
generalizing the result for Fredholm operators, and Banach space operators that
can be approximated in operator norm by invertible operators. The combination
of these two results enables us to prove that the implication holds for all
operators on separable Hilbert spaces.


title: PSF modelling for very wide-field CCD astronomy

abstract:
  One of the possible approaches to detecting optical counterparts of GRBs
requires monitoring large parts of the sky. This idea has gained some
instrumental support in recent years, such as with the "Pi of the Sky" project.
The broad sky coverage of the "Pi of the Sky" apparatus results from using
cameras with wide-angle lenses (20x20 deg field of view). Optics of this kind
introduce significant deformations of the point spread function (PSF),
increasing with the distance from the frame centre. A deformed PSF results in
additional uncertainties in data analysis. Our aim was to create a model
describing highly deformed PSF in optical astronomy, allowing uncertainties
caused by image deformations to be reduced. Detailed laboratory measurements of
PSF, pixel sensitivity, and pixel response functions were performed. These data
were used to create an effective high quality polynomial model of the PSF.
Finally, tuning the model and tests in applications to the real sky data were
performed.
  We have developed a PSF model that accurately describes even very deformed
stars in our wide-field experiment. The model is suitable for use in any other
experiment with similar image deformation, with a simple tuning of its
parameters. Applying this model to astrometric procedures results in a
significant improvement over standard methods, while basic photometry precision
performed with the model is comparable to the results of an optimised aperture
algorithm. Additionally, the model was used to search for a weak signal --
namely a possible gamma ray burst optical precursor -- showing very promising
results. Precise modelling of the PSF function significantly improves the
astrometric precision and enhances the discovery potential of a wide-field
system with lens optics.


title: Boundedness of maximal functions on non-doubling manifolds with ends

abstract:
  Let $M$ be a manifold with ends constructed in \cite{GS} and $\Delta$ be the
Laplace-Beltrami operator on $M$. In this note, we show the weak type $(1,1)$
and $L^p$ boundedness of the Hardy-Littlewood maximal function and of the
maximal function associated with the heat semigroup $\M_\Delta f(x)=\sup_{t> 0}
|\exp (-t\Delta)f(x)| $ on $L^p(M)$ for $1 < p \le \infty$. The significance of
these results comes from the fact that $M$ does not satisfies the doubling
condition.


title: Critical levels and Jacobi fields in a complex of cycles

abstract:
  In this paper it is shown that the space of tight geodesic segments
connecting any two vertices in a complex of cycles has finite, uniformly
bounded dimension. The dimension is defined in terms of a discrete analogue of
Jacobi fields, which are explicitly constructed and shown to give a complete
description of the entire space of tight geodesics. Jacobi fields measure the
extent to which geodesic stability breaks down. Unlike most finiteness
properties of curve complexes, the arguments presented here do not rely on
hyperbolicity, but rather on structures similar to Morse theory.


title:
Non-local Poisson structures and applications to the theory of
  integrable systems

abstract:
  We develop a rigorous theory of non-local Poisson structures, built on the
notion of a non-local Poisson vertex algebra. As an application, we find
conditions that guarantee applicability of the Lenard-Magri scheme of
integrability to a pair of compatible non-local Poisson structures. We apply
this scheme to several such pairs, proving thereby integrability of various
evolution equations, as well as hyperbolic equations.


title: A concentrator for static magnetic field

abstract:
  We propose a compact passive device as a super-concentrator to create an
extremely high uniform static magnetic field over 50T in a large
two-dimensional free space from a weak background magnetic field. Such an
amazing thing becomes possible for the first time, thanks to space-folded
transformation and metamaterials for static magnetic fields. Finite element
method (FEM) is utilized to verify the performance of the proposed device.


title:
Monte Carlo Study of Strongly-Interacting Degenerate Fermions: a Model
  for Voltage-Biased Bilayer Graphene

abstract:
  We formulate a model of N_f=4 flavors of relativistic fermion in 2+1d in the
presence of a chemical potential mu coupled to two flavor doublets with
opposite sign, akin to isopsin chemical potential in QCD. This is argued to be
an effective theory for low energy electronic excitations in bilayer graphene,
in which an applied voltage between the layers ensures equal populations of
particles on one layer and holes on the other. The model is then reformulated
on a spacetime lattice using staggered fermions, and in the absence of a sign
problem, simulated using an orthodox hybrid Monte Carlo algorithm. With the
coupling strength chosen to be close to a quantum critical point believed to
exist for N_f<N_fc\approx4.8, it is found that there is a region below
saturation where both the carrier density and a particle-hole "excitonic"
condensate scale anomalously with increasing mu, much more rapidly that the
corresponding quantities in free field theory, while the conventional chiral
condensate is strongly suppressed. The corresponding ground state is speculated
to be a strongly-correlated degenerate fermion system, with a remnant Fermi
surface distorted by a superfluid excitonic condensate. The model thus shows
qualitatively different behaviour to any model with mu=/=0 previously studied
by lattice simulation.


title:
Simultaneous variable selection and estimation in semiparametric
  modeling of longitudinal/clustered data

abstract:
  We consider the problem of simultaneous variable selection and estimation in
additive, partially linear models for longitudinal/clustered data. We propose
an estimation procedure via polynomial splines to estimate the nonparametric
components and apply proper penalty functions to achieve sparsity in the linear
part. Under reasonable conditions, we obtain the asymptotic normality of the
estimators for the linear components and the consistency of the estimators for
the nonparametric components. We further demonstrate that, with proper choice
of the regularization parameter, the penalized estimators of the non-zero
coefficients achieve the asymptotic oracle property. The finite sample behavior
of the penalized estimators is evaluated with simulation studies and
illustrated by a longitudinal CD4 cell count data set.


title: Lehmer problem and Drinfeld modules

abstract:
  We propose a lower bound estimate in Dobrowolski's style of the canonical
height on a certain family of Drinfeld modules of characteristic 0, including
under some hypothesis on their degree and their base field, the complex
multiplication case, extending so a previous result of L. Denis on Carlitz
modules. Our study is focused on the highest possible level of precision on the
parameters involved with rapport to the main values which characterize the
Drinfeld module (height, base field degree and rank) and it provides an
estimate in function of both separable and inseparable degree of the algebraic
points.


title: Multi-Anticipative Piecewise-Linear Car-Following Model

abstract:
  We propose in this article an extension of the piecewise linear car-following
model to multi-anticipative driving. As in the one-car-anticipative model, the
stability and the stationary regimes are characterized thanks to a variational
formulation of the car-dynamics. We study the homogeneous driving case. We show
that in term of the stationary regime, the multi-anticipative model guarantees
the same macroscopic behavior as for the one-car-anticipative one.
Nevertheless, in the transient traffic, the variance in car-velocities and
accelerations is mitigated by the multi-anticipative driving, and the
car-trajectories are smoothed. A parameter identification of the model is made
basing on NGSIM data and using a piecewise linear regression approach.


title: Linearization through symmetries for discrete equations

abstract:
  We show that one can define through the symmetry approach a procedure to
check the linearizability of a difference equation via a point or a discrete
Cole-Hopf transformation. If the equation is linearizable the symmetry provides
the linearizing transformation. At the end we present few examples of
applications for equations defined on four lattice points.


title: Unveiling the physics of the doped phase of the Kagome $t-J$ model

abstract:
  We investigate the ground state properties of the Kagome lattice $t-J$ model
at low doping. We propose a new state of matter. Our results suggest an
interesting phase with a balance of spin-exchange and kinetic exchange through
the building blocks of stars and their internal hexagons, being linked by
triangles. The particles favor to hop in the hexagons, while the spin-exchange
is taking place mainly on the stars. The combined effect leads to the formation
of the "Star of David" valence bond crystal. We discuss our result in
connection with static impurities, and show the likely relevance to the diluted
Kagome lattice Heisenberg model, describing actual compounds.


title: State reconstruction of a multimode twin beam using photodetection

abstract:
  Robust and reliable method for reconstructing quasi-distributions of
integrated intensities of twin beams generated in spontaneous parametric
down-conversion and entangled in photon numbers is suggested. It utilizes the
first and second photocount moments and minimizes the declination from
experimental photocount histograms. Qualitatively different forms of
quasi-distributions for quantum and classical states are suggested in the
method. The transition from quantum to classical states caused by an increased
detection noise is discussed. Momentum criterion for non-classicality of twin
beams is suggested.


title: Spin Liquid States at the vicinity of metal-insulator transition

abstract:
  We study in this paper quantum spin liquid states (QSLs) at the vicinity of
metal-insulator transition. Assuming that the low energy excitations in the
QSLs are labeled by "spinon" occupation numbers with the same Fermi surface
structure as in the corresponding metal (Fermi-liquid) side, we propose a
phenomenological Landau-like low energy theory for the QSLs and show that the
usual U(1) QSLs is a representative member of this class of spin liquids. Based
on our effective low energy theory, an alternative picture to the Brinkman-Rice
picture of Mott metal-insulator transition is proposed. The charge, spin and
thermal responses of QSLs are discussed under such a phenomenology.


title: An Ornstein-Uhlenbeck process associated to self-normalized sums

abstract:
  We consider an Ornstein-Uhleneck (OU) process associated to self-normalised
sums in i.i.d. symmetric random variables from the domain of attraction of
$N(0, 1)$ distribution. We proved the self-normalised sums converge to the OU
process (in $C[0, \infty)$). Importance of this is that the OU process is a
stationary process as opposed to the Brownian motion, which is a non-stationary
distribution (see for example, the invariance principle proved by Csorgo et al
(2003, Ann Probab) for self-normalised sums that converges to Brownian motion).
The proof uses recursive equations similar to those that arise in the area of
stochastic approximation and it shows (through examples) that one can simulate
any functionals of any segment of the OU process. The similar things can be
done for any diffusion process as well.


title:
Non-equilibrium cooling rate for a collisionally cooled metal-enriched
  gas

abstract:
  We present self-consistent calculations of non-equilibrium (time-dependent)
cooling rates for a dust-free collisionally controlled gas in wide temperature
($10 K\le T\le 10^8 K$) and metallicity ($10^{-4} Z_\odot \le Z \le 2 Z_\odot$)
ranges. We confirm that molecular hydrogen dominates cooling at $10^2 \simlt
T\simlt 10^4$ K and $Z\simlt 10^{-3} Z_\odot$. We find that the contribution
from H$_2$ into cooling rate around $T\sim (4-5)\times 10^3$ K stimulates
thermal instability in the metallicity range $Z\simlt 10^{-2} Z_\odot$.
Isobaric cooling rates are generally lower than isochoric ones, because the
associated increase of gas density leads to both more efficient hydrogen
recombination and equilibration of the fine-structure level populations.
Isochoric cooling keeps the ionization fraction remains quite high at
$T\simlt10^4$ K: up to $\sim0.01$ at $T\simeq 10^3$ K and $Z\simlt 0.1
Z_\odot$, and even higher at higher metallicity, contrary to isobaric cooling
where it at least an order of magnitude lower. Despite this increase in
ionization fraction the gas-phase formation rate of molecular hydrogen (via
H$^-$) lowers with metallicity, because higher metallicity shorttens the
evolution time. We implement our self-consistent cooling rates into the
multi-dimensional parallel code ZEUS-MP in order to simulate evolution of a
supernova remnant, and compare it with an analogous model with tabulated
cooling rates published in previous works. We find significant differences
between the two descriptions, which may appear, e.g., in mixing of the ejected
metals in the circumstellar medium.


title: Polyhedrality in Pieces

abstract:
  The aim of this paper is to present two tools, Theorems 4 and 7, that make
the task of finding equivalent polyhedral norms on certain Banach spaces easier
and more transparent. The hypotheses of both tools are based on countable
decompositions, either of the unit sphere S_X or of certain subsets of the dual
ball of a given Banach space X. The sufficient conditions of Theorem 4 are
shown to be necessary in the separable case. Using Theorem 7, we can unify two
known results regarding the polyhedral renorming of certain C(K) spaces, and
spaces having an (uncountable) unconditional basis. New examples of spaces
having equivalent polyhedral norms are given in the final section.


title:
A novel integral equation for scattering by locally rough surfaces and
  application to the inverse problem

abstract:
  This paper is concerned with the direct and inverse acoustic or
electromagnetic scattering problems by a locally perturbed, perfectly
reflecting, infinite plane (which is called a locally rough surface in this
paper). We propose a novel integral equation formulation for the direct
scattering problem which is defined on a bounded curve (consisting of a bounded
part of the infinite plane containing the local perturbation and the lower part
of a circle) with two corners. This novel integral equation can be solved
efficiently by using the Nystrom method with a graded mesh introduced
previously by Kress and is capable of dealing with large wavenumber cases. For
the inverse problem, we propose a Newton iteration method to reconstruct the
local perturbation of the plane from multiple frequency far-field data, based
on the novel integral equation formulation. Numerical examples are carried out
to demonstrate that our reconstruction method is stable and accurate even for
the case of multiple-scale profiles.


title:
Compact engineering of path-entangled sources from a monolithic
  quadratic nonlinear photonic crystal

abstract:
  Photonic entangled states lie at the heart of quantum science for the
demonstrations of quantum mechanics foundations and supply as a key resource
for approaching various quantum technologies. An integrated realization of such
states will certainly guarantee a high-degree of entanglement and improve the
performance like portability, stability and miniaturization, hence becomes an
inevitable tendency towards the integrated quantum optics. Here, we report the
compact realization of steerable photonic path-entangled states from a
monolithic quadratic nonlinear photonic crystal. The crystal acts as an
inherent beam splitter to distribute photons into coherent spatial modes,
producing the heralded single-photon even appealing beamlike two-photon
path-entanglement, wherein the entanglement is characterized by quantum spatial
beatings. Such multifunctional entangled source can be further extended to
high-dimensional fashion and multi-photon level as well as involved with other
degrees of freedom, which paves a desirable way to engineer miniaturized
quantum light source.


title: Empirical likelihood-based tests for stochastic ordering

abstract:
  This paper develops an empirical likelihood approach to testing for the
presence of stochastic ordering among univariate distributions based on
independent random samples from each distribution. The proposed test statistic
is formed by integrating a localized empirical likelihood statistic with
respect to the empirical distribution of the pooled sample. The asymptotic null
distribution of this test statistic is found to have a simple distribution-free
representation in terms of standard Brownian bridge processes. The approach is
used to compare the lengths of rule of Roman Emperors over various historical
periods, including the "decline and fall" phase of the empire. In a simulation
study, the power of the proposed test is found to improve substantially upon
that of a competing test due to El Barmi and Mukerjee.


title:
Aperiodic dynamics in a deterministic model of attitude formation in
  social groups

abstract:
  Homophily and social influence are the fundamental mechanisms that drive the
evolution of attitudes, beliefs and behaviour within social groups. Homophily
relates the similarity between pairs of individuals' attitudinal states to
their frequency of interaction, and hence structural tie strength, while social
influence causes the convergence of individuals' states during interaction.
Building on these basic elements, we propose a new mathematical modelling
framework to describe the evolution of attitudes within a group of interacting
agents. Specifically, our model describes sub-conscious attitudes that have an
activator-inhibitor relationship. We consider a homogeneous population using a
deterministic, continuous-time dynamical system. Surprisingly, the combined
effects of homophily and social influence do not necessarily lead to group
consensus or global monoculture. We observe that sub-group formation and
polarisation-like effects may be transient, the long-time dynamics being
quasi-periodic with sensitive dependence to initial conditions. This is due to
the interplay between the evolving interaction network and Turing instability
associated with the attitudinal state dynamics.


title: Shear viscosity of nuclear matter

abstract:
  In this talk I report my recent study on the shear viscosity of neutron-rich
nuclear matter from a relaxation time approach. An isospin- and
momentum-dependent interaction is used in the study. Effects of density,
temperature, and isospin asymmetry of nuclear matter on its shear viscosity
have been discussed. Similar to the symmetry energy, the symmetry shear
viscosity is defined and its density and temperature dependence are studied.


title: Spectropolarimetry of the Type Ia Supernova 2012fr

abstract:
  Spectropolarimetry provides the means to probe the 3D geometries of
Supernovae at early times. We report spectropolarimetric observations of the
Type Ia Supernova 2012fr at four epochs: -11, -5, +2 and +24 days, with respect
to B-lightcurve maximum. SN 2012fr is a normal Type Ia SN, similar to SNe
1990N, 2000cx and 2005hj (that all exhibit low velocity decline rates for the
principal Si II line). The SN displays high velocity components at -11 days
that are highly polarized. The polarization of these features decreases as they
become weaker from -5 days. At +2 days, the polarization angles of the low
velocity components of silicon and calcium are identical and oriented at 90
degrees relative to the high velocity Ca component. In addition to having very
different velocities, the high and low velocity Ca components have orthogonal
distributions in the plane of the sky. The continuum polarization for the SN at
all four epochs is low <0.1%. We conclude that the low level of continuum
polarization is inconsistent with the merger-induced explosion scenario. The
simple axial symmetry evident from the polarization angles of the high velocity
and low velocity Ca components, along with the presence of high velocity
components of Si and Ca, are consistent with the pulsating delayed detonation
model. We predict that, during the nebular phase, SN 2012fr will display
blue-shifted emission lines of Fe-group elements.


title:
CoRoT 102918586: a Gamma Dor pulsator in a short period eccentric
  eclipsing binary

abstract:
  Pulsating stars in eclipsing binary systems are powerful tools to test
stellar models. Binarity enables to constrain the pulsating component physical
parameters, whose knowledge drastically improves the input physics for
asteroseismic studies. The study of stellar oscillations allows us, in its
turn, to improve our understanding of stellar interiors and evolution. The
space mission CoRoT discovered several promising objects suitable for these
studies, which have been photometrically observed with unprecedented accuracy,
but needed spectroscopic follow-up. A promising target was the relatively
bright eclipsing system CoRoT 102918586, which turned out to be a double-lined
spectroscopic binary and showed, as well, clear evidence of Gamma Dor type
pulsations. We obtained phase resolved high-resolution spectroscopy with the
Sandiford spectrograph at the McDonald 2.1m telescope and the FEROS
spectrograph at the ESO 2.2m telescope. Spectroscopy yielded both the radial
velocity curves and, after spectra disentangling, the component effective
temperatures, metallicity and line-of-sight projected rotational velocities.
The CoRoT light curve was analyzed with an iterative procedure, devised to
disentangle eclipses from pulsations. We obtained an accurate determination of
the system parameters, and by comparison with evolutionary models strict
constraints on the system age. Finally, the residuals obtained after
subtraction of the best fitting eclipsing binary model were analyzed to
determine the pulsator properties. We achieved a quite complete and consistent
description of the system. The primary star pulsates with typical {\gamma} Dor
frequencies and shows a splitting in period which is consistent with high order
g-mode pulsations in a star of the corresponding physical parameters. The value
of the splitting, in particular, is consistent with pulsations in l = 1 modes.


title:
Warm inflation in loop quantum cosmology: a model with a general
  dissipative coefficient

abstract:
  A general form of warm inflation with the dissipative coefficient
$\Gamma=\Gamma_0(\phi /\phi_0) ^n(T/\tau_0) ^m$ in loop quantum cosmology is
studied. In this case, we obtain conditions for the existence of a warm
inflationary attractor in the context of loop quantum cosmology by using the
method of stability analysis. The two cases when the dissipative coefficient is
independent $(m=0)$ and dependent $(m\neq0)$ on temperature are analyzed
specifically. In the latter case, we use the new power spectrum which should be
used when considering temperature dependence in the dissipative coefficient. We
find that the thermal effect is enhanced in the case $m>0$. As in the standard
inflation in loop quantum cosmology, we also reach the conclusion that quantum
effect leaves a tiny imprint on the cosmic microwave background (CMB) sky.


title:
To the electrostrictive mechanism of nanosecond-pulsed breakdown in
  liquid phase

abstract:
  In this study we have studied the initial stage of the nanosecond-pulsed
discharge development in liquid phase. Modeling predicts that in the case of
fast rising strong nonhomogeneous electric fields in the vicinity of high
voltage pin electrode a region saturated with nanoscale non-uniformities may be
developed. This phenomenon is attributed to the electrostriction mechanisms and
may be used to explain development of breakdown in liquid phase. In this work,
schlieren method was used in order to demonstrate formation of negative
pressure region in liquids with different dielectric permittivity constants:
water, ethanol and ethanol-water mixture. It is shown that this density
perturbation, formed at the raising edge of the high voltage pulse, is followed
by a generation of a shock wave propagating with the speed of sound away from
the electrode, with negative pressure behind it.


title:
Supernova 2012ec: Identification of the progenitor and early monitoring
  with PESSTO

abstract:
  We present the identification of the progenitor of the Type IIP SN 2012ec in
archival pre-explosion HST WFPC2 and ACS/WFC F814W images. The properties of
the progenitor are further constrained by non-detections in pre-explosion WFPC2
F450W and F606W images. We report a series of early photometric and
spectroscopic observations of SN 2012ec. The r'-band light curve shows a
plateau with M(r')=-17.0. The early spectrum is similar to the Type IIP SN
1999em, with the expansion velocity measured at Halpha absorption minimum of
-11,700 km/s (at 1 day post-discovery). The photometric and spectroscopic
evolution of SN 2012ec shows it to be a Type IIP SN, discovered only a few days
post-explosion (<6d). We derive a luminosity for the progenitor, in comparison
with MARCS model SEDs, of log L/Lsun = 5.15+/-0.19, from which we infer an
initial mass range of 14-22Msun. This is the first SN with an identified
progenitor to be followed by the Public ESO Spectroscopic Survey of Transient
Objects (PESSTO).


title:
Bounds on Spontaneous Collapse model of Quantum Mechanics from formation
  of CMBR and Standard Cosmology

abstract:
  Continuous Spontaneous Localization (CSL) model of Quantum Mechanics modifies
Schr\"{o}dinger equation by adding non-linear stochastic terms due to which the
total energy of a system increases with a constant rate which is proportional
to the collapse rate $\lambda$. Thus applying CSL model to cosmological
scenarios can change the thermal behaviour of the particles during evolution
and we will put constraints on $\lambda$ by considering several cosmological
scenarios.


title:
Primordial non-Gaussianity as a signature of pre-inflationary radiation
  era

abstract:
  Primordial non-Gaussianity generated in an inflationary model where inflation
is preceded by a radiation era is discussed. It is shown that both bispectrum
and trispectrum non-Gaussianities are enhanced due to the presence of
pre-inflationary radiation era. One distinguishing feature of such a scenario
is that the trispectrum non-Gaussianity is larger than the bispectrum one.


title: Basic aspects of high-power semiconductor laser simulation

abstract:
  The aim of this paper is to review some of the models and solution techniques
used in the simulation of high-power semiconductor lasers and to address open
questions. We discuss some of the peculiarities in the description of the
optical field of wide-aperture lasers. As an example, the role of the substrate
as a competing waveguide in GaAs-based lasers is studied. The governing
equations for the investigation of modal instabilities and filamentation
effects are presented and the impact of the thermal-lensing effect on the
spatiotemporal behavior of the optical field is demonstrated. We reveal the
factors that limit the output power at very high injecton currents based on a
numerical solution of the thermodynamic based drift-diffusion equations and
elucidate the role of longitudinal spatial holeburning.


title: B->lnu - Belle results and outlook for Belle II

abstract:
  We report the measurements of the leptonic decays B->lnu obtained at the
Belle experiment. The results are consistent with the Standard Model
expectations, and provide stringent constraints on new physics models including
charged Higgs bosons. We also report an outlook of the measurements of B->lnu
for the Belle II experiment.


title:
Criteria of positivity for linear maps constructed from permutation
  pairs

abstract:
  In this paper, we show that a $D$-type map $\Phi_D:M_n\rightarrow M_n$ with
$D=(n-2)I_n+P_{\pi_1}+P_{\pi_2}$ induced by a pair
  $\{\pi_1,\pi_2\}$ of permutations of $(1,2,..., n)$ is positive if
$\{\pi_1,\pi_2\}$ has property (C). The property (C) is characterized for
$\{\pi_1,\pi_2\}$, and an easy criterion is given for the case that
$\pi_1=\pi^p$ and $\pi_2=\pi^q$, where $\pi$ is the permutation defined by
$\pi(i)=i+1$ mod $n$ and $1\leq p<q\leq n$.


title: Scale interactions in compressible rotating fluids

abstract:
  We study a triple singular limit for the scaled barotropic Navier-Stokes
system modeling the motion of a rotating, compressible, and viscous fluid,
where the Mach and Rossby numbers are proportional to a small parameter, while
the Reynolds number becomes infinite. If the fluid is confined to an infinite
slab bounded above and below by two parallel planes, the limit behavior is
identified as a purely horizontal motion of an incompressible inviscid fluid,
the evolution of which is described by an analogue of the Euler system.


title:
Friction force microscopy: a simple technique for identifying graphene
  on rough substrates and mapping the orientation of graphene grains on copper

abstract:
  At a single atom thick, it is challenging to distinguish graphene from its
substrate using conventional techniques. In this paper we show that friction
force microscopy (FFM) is a simple and quick technique for identifying graphene
on a range of samples, from growth substrates to rough insulators. We show that
FFM is particularly effective for characterising graphene grown on copper where
it can correlate the graphene growth to the three-dimensional surface
topography and map the crystallographic orientation of the graphene
nondestructively, reproducibly and at high resolution. We expect FFM to be
similarly effective for studying graphene growth on other metal/locally
crystalline substrates, including SiC, and for studying growth of other
two-dimensional materials such as molybdenum disulphide and hexagonal boron
nitride.


title:
Experimental study of parametric subharmonic instability for internal
  waves

abstract:
  Internal waves are believed to be of primary importance as they affect ocean
mixing and energy transport. Several processes can lead to the breaking of
internal waves and they usually involve non linear interactions between waves.
In this work, we study experimentally the parametric subharmonic instability
(PSI), which provides an efficient mechanism to transfer energy from large to
smaller scales. It corresponds to the destabilization of a primary plane wave
and the spontaneous emission of two secondary waves, of lower frequencies and
different wave vectors. Using a time-frequency analysis, we observe the time
evolution of the secondary waves, thus measuring the growth rate of the
instability. In addition, a Hilbert transform method allows the measurement of
the different wave vectors. We compare these measurements with theoretical
predictions, and study the dependence of the instability with primary wave
frequency and amplitude, revealing a possible effect of the confinement due to
the finite size of the beam, on the selection of the unstable mode.


title:
Modeling of the self-limited growth in catalytic chemical vapor
  deposition of graphene

abstract:
  The development of wafer-scale continuous single-crystal graphene layers is
key in view of its prospective applications. To this end, here we pave the way
for a graphene growth model in the framework of the Langmuir adsorption theory
and two dimensional crystallization. In specific, we model the nucleation and
growth of graphene on copper using methane as carbon precursor. The model leads
to identification of the range of growth parameters (temperature and gas
pressures) that uniquely entails the final surface coverage of graphene. This
becomes an invaluable tool to address the fundamental problems of continuity of
polycrystalline graphene layers, and crystalline grain dimensions. The model
shows agreement with the existing experimental data in the literature. On the
basis of the "contour map" for graphene growth developed here and existing
evidence of optimized growth of large graphene grains, novel insights for
engineering wafer-scale continuous graphene films are provided.


title: A polynomial upper bound on Reidemeister moves

abstract:
  We prove that any diagram of the unknot with c crossings may be reduced to
the trivial diagram using at most (236 c)^{11} Reidemeister moves. Moreover,
every diagram in this sequence has at most (7 c)^2 crossings. We also prove a
similar theorem for split links, which provides a polynomial upper bound on the
number of Reidemeister moves required to transform a diagram of the link into a
disconnected diagram.


title: A quantile regression estimator for censored data

abstract:
  We propose a censored quantile regression estimator motivated by unbiased
estimating equations. Under the usual conditional independence assumption of
the survival time and the censoring time given the covariates, we show that the
proposed estimator is consistent and asymptotically normal. We develop an
efficient computational algorithm which uses existing quantile regression code.
As a result, bootstrap-type inference can be efficiently implemented. We
illustrate the finite-sample performance of the proposed method by simulation
studies and analysis of a survival data set.


title: Products and commutators of classes in algebraic groups

abstract:
  We classify pairs of conjugacy classes in almost simple algebraic groups
whose product consists of finitely many classes. This leads to several
interesting families of examples which are related to a generalization of the
Baer--Suzuki theorem for finite groups. We also answer a question of Pavel
Shumyatsky on commutators of pairs of conjugacy classes in simple algebraic
groups. It turns out that the resulting examples are exactly those for which
the product also consists of only finitely many classes.


title:
IM3SHAPE: A maximum-likelihood galaxy shear measurement code for cosmic
  gravitational lensing

abstract:
  We present and describe im3shape, a new publicly available galaxy shape
measurement code for weak gravitational lensing shear. im3shape performs a
maximum likelihood fit of a bulge-plus-disc galaxy model to noisy images,
incorporating an applied point spread function. We detail challenges faced and
choices made in its design and implementation, and then discuss various
limitations that affect this and other maximum likelihood methods. We assess
the bias arising from fitting an incorrect galaxy model using simple noise-free
images and find that it should not be a concern for current cosmic shear
surveys.
  We test im3shape on the GREAT08 Challenge image simulations, and meet the
requirements for upcoming cosmic shear surveys in the case that the simulations
are encompassed by the fitted model, using a simple correction for image noise
bias. For the fiducial branch of GREAT08 we obtain a negligible additive shear
bias and sub-two percent level multiplicative bias, which is suitable for
analysis of current surveys. We fall short of the sub-percent level requirement
for upcoming surveys, which we attribute to a combination of noise bias and the
mis-match between our galaxy model and the model used in the GREAT08
simulations. We meet the requirements for current surveys across all branches
of GREAT08, except those with small or high noise galaxies, which we would cut
from our analysis. Using the GREAT08 metric we we obtain a score of Q=717 for
the usable branches, relative to the goal of Q=1000 for future experiments. The
code is freely available from https://bitbucket.org/joezuntz/im3shape


title:
Influence of vibrational modes on the quantum transport through a
  nano-device

abstract:
  We use the recently proposed scattering states numerical renormalization
group (SNRG) approach to calculate $I(V)$ and the differential conductance
through a single molecular level coupled to a local molecular phonon. We also
discuss the equilibrium physics of the model and demonstrate that the
low-energy Hamiltonian is given by an effective interacting resonant level
model. From the NRG level flow, we directly extract the effective charge
transfer scale $\Gamma_{\rm eff}$ and the dynamically induced capacitive
coupling $U_{\rm eff}$ between the molecular level and the lead electrons which
turns out to be proportional to the polaronic energy shift $E_p$ for the
regimes investigated here. The equilibrium spectral functions for the different
parameter regimes are discussed. The additional phonon peaks at multiples of
the phonon frequency $\w_0$ correspond to additional maxima in the differential
conductance. Non-equilibrium effects, however, lead to significant deviations
between a symmetric junction and a junction in the tunnel regime. The
suppression of the current for asymmetric junctions with increasing
electron-phonon coupling, the hallmark of the Franck-Condon blockade, is
discussed with a simple framework of a combination of (i) polaronic level
shifts and (ii) the effective charge transfer scale $\Gamma_{\rm eff}$.


title: Short Distance Repulsion Among Baryons

abstract:
  We review recent investigations on the short distance behaviors of potentials
among baryons, which are formulated through the Nambu-Bethe-Salpeter (NBS) wave
function. After explaining the method to define the potentials, we analyze the
short distance behavior of the NBS wave functions and the corresponding
potentials by combining the operator product expansion and a renormalization
group analysis in the perturbation theory of QCD. These analytic results are
compared with numerical results obtained in lattice QCD simulations.


title: Analysing the Transverse Structure of the Relativistic Jets of AGN

abstract:
  This paper describes a method of fitting total intensity and polarization
profiles in VLBI images of astrophysical jets to profiles predicted by a
theoretical model. As an example, the method is used to fit profiles of the jet
in the Active Galactic Nucleus Mrk501 with profiles predicted by a model in
which a cylindrical jet of synchrotron plasma is threaded by a magnetic field
with helical and disordered components. This fitting yields model Stokes Q
profiles that agree with the observed profiles to within the 1-2 \sigma
uncertainties; the I model and observed profiles are overall not in such good
agreement, with the model I profiles being generally more symmetrical than the
observed profiles. Consistent fitting results are obtained for profiles derived
from 6cm VLBI images at two distances from the core, and also for profiles
obtained for different wavelengths at a single location in the VLBI jet. The
most striking success of the model is its ability to reproduce the spine-sheath
polarization structure observed across the jet. Using the derived viewing angle
in the jet rest frame, \delta' approximately 83 degrees, together with a
superluminal speed reported in the literature, \beta apparent = 3.3, yields a
solution for the viewing angle and velocity of the jet in the observer's frame
\delta degrees and \beta approximately 0.96. Although these results for Mrk501
must be considered tentative, the combined analysis of polarization profiles
and apparent component speeds holds promise as a means of further elucidating
the magnetic field structures and other parameters of parsec-scale AGN jets.


title: Hidden Quasiparticles and Incoherent Photoemission Spectra in Na2IrO3

abstract:
  We study two Heisenberg-Kitaev t-J-like models on a honeycomb lattice,
focusing on the zigzag magnetic phase of Na$_2$IrO$_3$, and investigate hole
motion by exact diagonalization and variational methods. The spectral functions
are quite distinct from those of cuprates and are dominated by large incoherent
spectral weight at high energy, almost independent of the microscopic
parameters --- a universal and generic feature for zigzag magnetic
correlations. We explain why quasiparticles at low energy are strongly
suppressed in the photoemission spectra and determine an analog of a pseudogap.
We point out that the qualitative features of the predominantly incoherent
spectra obtained within the two different models for the zigzag phase are
similar, and they have remarkable similarity to recently reported angular
resolved photoemission spectra for Na$_2$IrO$_3$.


title:
The Last Digit of $\binom{2n}{n}$ and
  $\sum\binom{n}{i}\binom{2n-2i}{n-i}$

abstract:
  Let $f_{n}=\sum_{i=0}^n \binom{n}{i}\binom{2n-2i}{n-i}$, $g_{n}= \sum_{i=1}^n
\binom{n}{i}\binom{2n-2i}{n-i}$. Let $\{a_k\}_{k=1}$ be the set of all positive
integers n, in increasing order, for which $\binom{2n}{n}$ is not divisible by
5, and let $\{b_k\}_{k=1}$ be the set of all positive integers n, in increasing
order, for which $g_n$ is not divisible by 5. This note finds simple formulas
for $a_k$, $b_k$, $\binom{2n}{n}\ mod\ 10$, $ f_{n}\ mod\ 10$, and $ g_{n}\
mod\ 10$.


title: Non-adaptive pooling strategies for detection of rare faulty items

abstract:
  We study non-adaptive pooling strategies for detection of rare faulty items.
Given a binary sparse N-dimensional signal x, how to construct a sparse binary
MxN pooling matrix F such that the signal can be reconstructed from the
smallest possible number M of measurements y=Fx? We show that a very low number
of measurements is possible for random spatially coupled design of pools F. Our
design might find application in genetic screening or compressed genotyping. We
show that our results are robust with respect to the uncertainty in the matrix
F when some elements are mistaken.

categories: cs.IT cond-mat.stat-mech math.IT q-bio.GN q-bio.QM


title: Two-dimensional individual clustering model

abstract:
  This paper is devoted to study a model of individual clustering with two
specific reproduction rates in two space dimensions. Given q > 2 and an initial
condition in W 1,q (\Omega), the local existence and uniqueness of solution
have been shown in [6]. In this paper we give a detailed proof of existence of
global solution.