title: Boson Sampling from Gaussian States

abstract:
  We pose a generalized Boson Sampling problem. Strong evidence exists that
such a problem becomes intractable on a classical computer as a function of the
number of Bosons. We describe a quantum optical processor that can solve this
problem efficiently based on Gaussian input states, a linear optical network
and non-adaptive photon counting measurements. All the elements required to
build such a processor currently exist. The demonstration of such a device
would provide the first empirical evidence that quantum computers can indeed
outperform classical computers and could lead to applications.


title:
Second order integrability conditions for difference equations. An
  integrable equation

abstract:
  Integrability conditions for difference equations admitting a second order
formal recursion operator are presented and the derivation of symmetries and
canonical conservation laws is discussed. In the generic case, nonlocal
conservation laws are also generated. A new integrable equation satisfying the
second order integrability conditions is presented and its integrability is
established by the construction of symmetries, conservation laws and a 3x3 Lax
representation. Finally, the relation of the symmetries of this equation to a
generalized Bogoyavlensky lattice and a new integrable lattice are derived.


title: Mobile Services and Network Proximity

abstract:
  This paper discusses several practical use cases for deploying network
proximity in mobile services. Our research presents here mobile services
oriented for either discovering new data for mobile subscribers or for
delivering some customized information to them. All applications share the same
approach and use the common platform, based on the Wi-Fi proximity. The typical
deployment areas for our approach are context-aware services and ubiquitous
computing applications. Our own examples include proximity marketing as the
model use case.


title: Quantum Mechanics in symmetry language

abstract:
  We consider symmetry as a foundational concept in quantum mechanics and
rewrite quantum mechanics and measurement axioms in this description. We argue
that issues related to measurements and physical reality of states can be
better understood in this view. In particular, the abstract concept of symmetry
provides a basis-independent definition for observables. Moreover, we show that
the apparent projection/collapse of the state as the final step of measurement
or decoherence is the result of breaking of symmetries. This phenomenon is
comparable with a phase transition by spontaneous symmetry breaking, and makes
the process of decoherence and classicality a natural fate of complex systems
consisting of many interacting subsystems. Additionally, we demonstrate that
the property of state space as a vector space representing symmetries is more
fundamental than being an abstract Hilbert space, and its $L2$ integrability
can be obtained from the imposed condition of being a representation of a
symmetry group and general properties of probability distributions.


title:
Sensitivity of medium-baseline reactor neutrino mass-hierarchy
  experiments to nonstandard interactions

abstract:
  We explore the impact of nonstandard interactions at source and detector on
the interpretation of reactor electron neutrino disappearance experiments with
short- and medium-baseline designs. We use the constraints from the recent
results from short-baseline experiments and generalize current estimates of
medium-baseline event rates to include charged current interactions at source
and detector with standard Lorentz structure but with nonstandard flavor
structure. We find that the average spectrum of observed events at a baseline
of 50 km, in the middle of the currently favored region, provides a probe of
new interactions. We show that an improvement in sensitivity to nonstandard
interactions is possible if combined with improved precision of input mixing
parameters in independent experiments, despite ambiguity in interpretation of
medium-baseline data. We show that nonstandard interactions can enhance or
suppress the sensitivity of experiments to the mass hierarchy, depending on the
phases of the parameters and the CP-violating phase in the standard
three-neutrino mixing picture.


title:
Nucleon resonances within a dynamical coupled-channels model of pi N and
  gamma N reactions

abstract:
  The nucleon resonances are investigated within a dynamical coupled-channels
model of pi N and gamma N reactions up to the invariant mass W = 2 GeV. The
meson-baryon (MB) channels included in the calculations are MB = pi N, eta N, K
Lambda, K Sigma, and pi pi N that has pi Delta, rho N, and sigma N resonant
components. The meson-baryon amplitudes T_{M'B',MB}(W) are calculated from
solving a set of coupled-channels integral equations defined by an interaction
Hamiltonian consisting of (a) meson-exchange interactions v_{M'B',MB} derived
from phenomenological Lagrangian, and (b) vertex interactions N* --> MB for
describing the transition of a bare excited nucleon state N* to a channel MB.
The parameters of v_{M'B',MB} are mainly constrained by the fit to the data of
pi N --> pi N in the low energy region up to W =1.4 GeV. The bare masses of N*
and the N* --> MB parameters are then determined in simultaneous fits to the
data of pi N --> pi N up to W =2.3 GeV and those of pi N --> eta N, K Lambda, K
Sigma and gamma N --> pi N, eta N, K Lambda, K Sigma up to W = 2.1 GeV. The
pole positions and residues of nucleon resonances are extracted by analytically
continuing the meson-baryon amplitudes T_{M'B',MB}(W) to the complex Riemann
energy surface. From the extracted residues, we have determined the N* --> pi
N, gamma N, eta N, K Lambda, K Sigma transition amplitudes at resonance poles.
We compare the resonance pole positions from our analysis with those given by
Particle Data Group and the recent coupled-channels analyses by the Juelich and
Bonn-Gatchina groups. Four results agree well only for the first N* in each
spin-parity-isospin (J^P,I) channel. For higher mass states, the number of
states and their resonance positions from four results do not agree well. We
discuss the possible sources of the discrepancies and the need of additional
data from new hadron facilities such as J-PARC.


title:
Muon conversion to electron in nuclei within the $\mu\nu$SSM with a 125
  GeV Higgs

abstract:
  Within framework of the $\mu$ from $\nu$ Supersymmetric Standard Model
($\mu\nu$SSM), three exotic right-handed neutrino superfields induce new
sources for lepton-flavor violation. In this work, we investigate muon
conversion to electron in nuclei within the $\mu\nu$SSM in detail. With a 125
GeV Higgs, the numerical results indicate that the $\mu-e$ conversion rates in
nuclei within the $\mu\nu$SSM can reach the experimental upper bound, which
could be detected with the future experimental sensitivities.


title:
Rotation of the noise ellipse for squeezed vacuum light generated via
  four-wave-mixing

abstract:
  We report the generation of a squeezed vacuum state of light whose noise
ellipse rotates as a function of the detection frequency. The squeezed state is
generated via a four-wave mixing process in a vapor of 85Rb. We observe that
rotation varies with experimental parameters such as pump power and laser
detunings. We use a theoretical model based on the Heisenberg-Langevin
formalism to describe this effect. Our model can be used to investigate the
parameter space and to tailor the ellipse rotation in order to obtain an
optimum squeezing angle, for example, for coupling to an interferometer whose
optimal noise quadrature varies with frequency.


title:
Natural selection. VII. History and interpretation of kin selection
  theory

abstract:
  Kin selection theory is a kind of causal analysis. The initial form of kin
selection ascribed cause to costs, benefits, and genetic relatedness. The
theory then slowly developed a deeper and more sophisticated approach to
partitioning the causes of social evolution. Controversy followed because
causal analysis inevitably attracts opposing views. It is always possible to
separate total effects into different component causes. Alternative causal
schemes emphasize different aspects of a problem, reflecting the distinct
goals, interests, and biases of different perspectives. For example, group
selection is a particular causal scheme with certain advantages and significant
limitations. Ultimately, to use kin selection theory to analyze natural
patterns and to understand the history of debates over different approaches,
one must follow the underlying history of causal analysis. This article
describes the history of kin selection theory, with emphasis on how the causal
perspective improved through the study of key patterns of natural history, such
as dispersal and sex ratio, and through a unified approach to demographic and
social processes. Independent historical developments in the multivariate
analysis of quantitative traits merged with the causal analysis of social
evolution by kin selection.


title: Ricci flow on surfaces with conical singularities, II

abstract:
  In this paper, we study the (normalized) Ricci flow on surfaces with conical
singularities. Long time existence is proved for cone angle smaller than
$2\pi$. In this case, convergence results are obtained if the Euler number is
nonpositive.


title:
Transition-metal distribution in kagome antiferromagnet CoCu3(OH)6Cl2
  revealed by resonant x-ray diffraction

abstract:
  The distribution of chemically similar transition-metal ions is a fundamental
issue in the study of herbertsmithite-type kagome antiferromagnets. Using
synchrotron radiation, we have performed resonant powder x-ray diffractions on
newly synthesized CoCu3(OH)6Cl2, which provide an exact distribution of
transition-metal ions in the frustrated antiferromagnet. Both magnetic
susceptibility and specific heat measurements are quantitatively consistent
with the occupation fractions determined by resonant x-ray diffraction. The
distribution of transition-metal ions and residual magnetic entropy suggest a
novel low temperature (T < 4 K) magnetism, where the interlayer triangular
spins undergo a spin-glass freezing while the kagome spins still keep highly
frustrated.


title:
Variability of Broad Emission Lines in High-Luminosity,High-Redshift
  Quasars

abstract:
  We examine the variability of the high-ionization Lyman alpha lambda 1216
broad emission line (BEL) in a sample of 61 high-luminosity, high-redshift
quasars observed at two epochs by the Sloan Digital Sky Survey. These bright
objects lie in the redshift interval z=[2.5, 4.3] and have luminosities $3.4
\times 10^{45} \lesssim \lambda L_{\lambda} \lesssim 3.4 \times 10^{46}$ erg/s
at 1450A. Utilizing improved spectrophotometric flux calibrations relative to
nearby compact stars observed simultaneously, we are able to measure the flux
changes in Lyman alpha and the nearby continuum at two epochs. We find 20
objects that exhibit Lyman alpha BEL flux variability at a significance level
greater than 5 sigma on time-scales ranging from days to years in the quasar
rest frame. The results show that, although some earlier work showed no
significant detections of Lyman alpha BEL flux changes in a quasar sample with
even higher luminosity, variability is present and readily observable in the
sample studied here. We also consider the CIV lambda1549 BEL. The lack of a
strong correlation between Lyman alpha BEL variability and nearby continuum
variability is consistent with the presence of a time lag between the
variations, whereas the presence of a stronger correlation between Lyman alpha
BEL variability and CIV BEL variability suggests that these BEL regions (BELRs)
are at similar distances from the central ionizing source. Some interesting
examples are high-lighted in the analysis, including a case where the flux of
an Lyman alpha BEL increased by ~26% in 14 days in the quasar rest frame,
suggesting that the BELR has the shape of a disc, which is being observed
face-on. This work demonstrates that future campaigns of spectrophotometric
monitoring can improve our understanding of the structure of the BELRs of
high-luminosity, high-redshift quasars.


title:
2D electron momentum distributions for transfer ionization in fast
  proton Helium collisions

abstract:
  The momentum distribution of the electron in the reaction p+He $\rightarrow$
H + He$^{2+}$ + $e$ is measured for projectile energies $E_p$=300 and 630 keV/u
at very small scattering angles of hydrogen. We mainly present two dimensional
distributions parallel $(k_{||})$ and perpendicular $(k_{\perp})$ to the
projectile beam. Theoretical calculations were carried out within the Plane
Wave First Born Approximation (PWFBA), which includes both electron emission
mechanisms, shake-off and sequential capture and ionization. It is shown that
electron correlations in the target wave function play the most important role
in the explanation of experimentally observed backward emission. Second order
effects have to be involved to correctly describe the forward emission of the
electron.


title:
Promoting Game Accessibility: Experiencing an Induction on Inclusive
  Design Practice at the Global Games Jam

abstract:
  The Global Games Jam (GGJ) attracts many people who are passionate about
games development, coming from a range of educational backgrounds. Therefore,
the event can be experienced by novices and student developers as an
opportunity for learning. This provides an opening to promote themes and ideas
that could help form future thinking about games design, emerging as a form of
induction on key design issues for new practitioners. Such an approach aims to
raise awareness about issues which learners could help develop and take with
them into industry. However, the experience itself affords a deep experiential
rhetoric and dialogue with experts that could be an effective pedagogical tool
for issues seldom addressed deeply in formal educational settings. This paper
describes an account by one such individual, being introduced to game
accessibility through participation in the GGJ. As such, it is not intended as
a rigorous empirical analysis, but rather a perspective on one way a game jam
can be experienced, inviting further research on the topic.


title: Galois Descent for Real Spectra

abstract:
  We prove analogs of faithfully flat descent and Galois descent for categories
of modules over $E_{\infty}$-ring spectra using the $\infty$-categorical
Barr-Beck theorem proved by Lurie. In particular, faithful $G$-Galois
extensions are shown to be of effective descent for modules. Using this we
study the category of $ER(n)$-modules, where $ER(n)$ is the
$\mathbb{Z}/2$-fixed points under complex conjugation of a generalized
Johnson-Wilson spectrum $E(n)$. In particular, we show that $ER(n)$-modules is
equivalent to $\mathbb{Z}$/2-equivariant $E(n)$-modules as stable
$\infty$-categories.


title:
Spectral properties of the M\"{o}bius function and a random M\"{o}bius
  model

abstract:
  Assuming Sarnak conjecture is true for any singular dynamical process, we
prove that the spectral measure of the M\"{o}bius function is equivalent to
Lebesgue measure. Conversely, under Elliott conjecture, we establish that the
M\"{o}bius function is orthogonal to any uniquely ergodic dynamical system with
singular spectrum. Furthermore, using Mirsky Theorem, we find a new simple
proof of Cellarosi-Sinai Theorem on the orthogonality of the square of the
M\"{o}bius function with respect to any weakly mixing dynamical system.
Finally, we establish Sarnak conjecture for a particular random model.


title:
Constraints on New Physics from Baryogenesis and Large Hadron Collider
  Data

abstract:
  We demonstrate the power of constraining theories of new physics by insisting
that they lead to electroweak baryogenesis, while agreeing with current data
from the Large Hadron Collider. The general approach is illustrated with a
singlet scalar extension of the Standard Model. Stringent bounds can already be
obtained, which reduce the viable parameter space to a small island.


title: The geometry of the curve graph of a right-angled Artin group

abstract:
  We develop an analogy between right-angled Artin groups and mapping class
groups through the geometry of their actions on the extension graph and the
curve graph respectively. The central result in this paper is the fact that
each right-angled Artin group acts acylindrically on its extension graph. From
this result we are able to develop a Nielsen--Thurston classification for
elements in the right-angled Artin group. Our analogy spans both the algebra
regarding subgroups of right-angled Artin groups and mapping class groups, as
well as the geometry of the extension graph and the curve graph. On the
geometric side, we establish an analogue of Masur and Minsky's Bounded Geodesic
Image Theorem and their distance formula.


title: HERMES: Simulating the Propagation of Ultra-High Energy Cosmic Rays

abstract:
  The study of ultra-high energy cosmic rays (UHECR) at Earth cannot prescind
from the study of their propagation in the Universe. In this paper, we present
HERMES, the \emph{ad hoc} Monte Carlo code we have developed for the realistic
simulation of UHECR propagation. We discuss the modeling adopted to simulate
the cosmology, the magnetic fields, the interactions with relic photons and the
production of secondary particles. In order to show the potential applications
of HERMES for astroparticle studies, we provide an estimation of the surviving
probability of UHE protons, the GZK horizons of nuclei and the all-particle
spectrum observed at Earth in different astrophysical scenarios. Finally, we
show the expected arrival direction distribution of UHECR produced from nearby
candidate sources. A stable version of HERMES will be released in the next
future for public use together with libraries of already propagated nuclei to
allow the community to perform mass composition and energy spectrum analysis
with our simulator.


title: Performance Analysis of Parallel Pollard's Rho Algorithm

abstract:
  Integer factorization is one of the vital algorithms discussed as a part of
analysis of any black-box cipher suites where the cipher algorithm is based on
number theory. The origin of the problem is from Discrete Logarithmic Problem
which appears under the analysis of the crypto-graphic algorithms as seen by a
crypt-analyst. The integer factorization algorithm poses a potential in
computational science too, obtaining the factors of a very large number is
challenging with a limited computing infrastructure. This paper analyses the
Pollards Rho heuristic with a varying input size to evaluate the performance
under a multi-core environment and also to estimate the threshold for each
computing infrastructure.


title:
Efficient Algorithms for Multivariate Linear Mixed Models in Genome-wide
  Association Studies

abstract:
  Multivariate linear mixed models (mvLMMs) have been widely used in many areas
of genetics, and have attracted considerable recent interest in genome-wide
association studies (GWASs). However, fitting mvLMMs is computationally
non-trivial, and no existing method is computationally practical for performing
the likelihood ratio test (LRT) for mvLMMs in GWAS settings with moderate
sample size n. The existing software MTMM perform an approximate LRT for two
phenotypes, and as we find, its p values can substantially understate the
significance of associations. Here, we present novel computationally-efficient
algorithms for fitting mvLMMs, and computing the LRT in GWAS settings. After a
single initial eigen-decomposition (with complexity O(n^3)) the algorithms i)
reduce computational complexity (per iteration of the optimizer) from cubic to
linear in n; and ii) in GWAS analyses, reduces per-marker complexity from cubic
to quadratic in n. These innovations make it practical to compute the LRT for
mvLMMs in GWASs for tens of thousands of samples and a moderate number of
phenotypes (~2-10). With simulations, we show that the LRT provides correct
control for type I error. With both simulations and real data we find that the
LRT is more powerful than the approximate LRT from MTMM, and illustrate the
benefits of analyzing more than two phenotypes. The method is implemented in
the GEMMA software package, freely available at
http://stephenslab.uchicago.edu/software.html


title: Parallelizing Stream with Future

abstract:
  Stream is re-interpreted in terms of a Lazy monad. Future is substituted for
Lazy in the obtained construct, resulting in possible parallelization of any
algorithm expressible as a Stream computation. The principle is tested against
two example algorithms. Performance is evaluated, and a way to improve it
briefly discussed.


title: Photo Reactions with Universal Trimers

abstract:
  Considering one-body and two-body currents, we study the photoassociation and
photodissociation of universal bosonic trimers. Analyzing the relative
importance of these currents we identify two physical scenarios (i) Normal
hierarchy, where naive power counting holds and the one-body current dominates,
and (ii) Strong hierarchy, where the one-body current is suppressed. For both
scenarios we observe that at the high frequency tail, the response function
exhibits log periodic oscillations in transition to or from any continuum state
regardless of the reaction partial wave channel. In contrast, near threshold
log periodic oscillations appear only in the leading $s$-wave components. These
oscillations are the fingerprints of universal Efimov physics. We discuss the
relevance of this effect to contemporary experiments in ultracold atoms.


title: A disk-corona model for low/hard state of black hole X-ray binaries

abstract:
  A disk-corona model for fitting low/hard (LH) state of associated steady jet
of black hole X-ray binaries (BHXBs) is proposed based on the large-scale
magnetic field configuration of the coexistence of the Blandford-Znajek (BZ)
and Blandford-Payne (BP) processes,where the magnetic field configuration for
the BP process is determined by the requirement of energy conversion from
Poynting energy flux into kinetic energy flux in the jet. It is found that
corona current is crucial to guarantee the consistency of the jet launching
from accretion disk. The relative importance of the BZ to BP processes in
powering jets from black hole accretion disk is discussed, and the LH state of
several BHXBs is fitted based on our model.In addition, we suggest that
magnetic field configuration could be regarded as the second parameter for
governing the state transition of BHXBs.


title:
New exact solutions of the Dirac equation of a charged particle
  interacting with an electromagnetic plane wave in a medium

abstract:
  Exact solutions are presented of the Dirac equation of a charged particle
moving in a classical monochromatic electromagnetic plane wave in a medium of
index of refraction n < 1. The found solutions are expressed in terms of new
complex trigonometric polynomials, which form a doubly infinite set labeled by
two integer quantum numbers. These quantum numbers represent quantized spectra
of the energy-momentum components of the charged particle along the
polarization vector and along the propagation direction of the applied
electromagnetic plane wave field (which is considered as a laser field of
arbitrary high intensity, propagating in an underdense plasma). These new
solutions may serve as a basis for the description of possible quantum features
of mechanisms of acceleration of electrons by high-intensity laser fields.


title: On factoriality of threefolds with isolated singularities

abstract:
  We investigate the existence of complete intersection threefolds $X \subset
\mathbb{P}^n$ with only isolated, ordinary multiple points and we provide some
sufficient conditions for their factoriality.


title: Risk Limiting Dispatch with Ramping Constraints

abstract:
  Reliable operation in power systems is becoming more difficult as the
penetration of random renewable resources increases. In particular, operators
face the risk of not scheduling enough traditional generators in the times when
renewable energies becomes lower than expected. In this paper we study the
optimal trade-off between system and risk, and the cost of scheduling reserve
generators. We explicitly model the ramping constraints on the generators. We
model the problem as a multi-period stochastic control problem, and we show the
structure of the optimal dispatch. We then show how to efficiently compute the
dispatch using two methods: i) solving a surrogate chance constrained program,
ii) a MPC-type look ahead controller. Using real world data, we show the chance
constrained dispatch outperforms the MPC controller and is also robust to
changes in the probability distribution of the renewables.


title: Surfaces given with the Monge patch in E^4

abstract:
  A depth surface of E^3 is a range image observed from a single view can be
represented by a digital graph (Monge patch) surface . That is, a depth or
range value at a point (u,v) is given by a single valued function z=f(u,v). In
the present study we consider the surfaces in Euclidean 4-space E^4 given with
a Monge patch z=f(u,v),w=g(u,v). We investigated the curvature properties of
these surfaces. We also give some special examples of these surfaces which are
first defined by Yu. Aminov. Finally, we proved that every Aminov surface is a
non-trivial Chen surface.


title:
Estimates of the uniform approximations by Zygmund sums on the classes
  of convolutions of periodic functions

abstract:
  We obtain order-exact estimates for uniform approximations by using Zygmund
sums $Z^{s}_{n}$ of classes $C^{\psi}_{\beta,p}$ of $2\pi$-periodic continuous
functions $f$ representable by convolutions of functions from unit balls of the
space $L_{p}$, $1< p<\infty$, with a fixed kernels $\Psi_{\beta}\in L_{p'}$,
$\frac{1}{p}+\frac{1}{p'}=1$. In addition, we find a set of allowed values of
parameters (that define the class $C^{\psi}_{\beta,p}$ and the linear method
$Z^{s}_{n}$) for which Zygmund sums and Fejer sums realize the order of the
best uniform approximations by trigonometric polynomials of those classes.


title: Realized collaboration across borders - Linux and the bioinformatic part

abstract:
  In year 2006 Biolinux inter alia with the work of Tim Booth gives its rise
and provide an operating system that was and is specialized in providing an
environment for the needs of bioinformatics. Since than some years have been
seen and the information about Biolinux has not only widespread within the
bio-science community, also the Linux community at whole had a ear for it. This
has caused a process called collaboration across borders and makes as the
keywords say the different work groups cooperating together. In this paper we
will have a look into the history of this collaboration, will show its growth
until we reach the actual state and we will talk about the quo vadis of this
process.


title: 3DES ECB Optimized for Massively Parallel CUDA GPU Architecture

abstract:
  Modern computers have graphics cards with much higher theoretical efficiency
than conventional CPU. The paper presents application possibilities GPU CUDA
acceleration for encryption of data using the new architecture tailored to the
3DES algorithm, characterized by increased security compared to the normal DES.
The algorithm used in ECB mode (Electronic Codebook), in which 64-bit data
blocks are encrypted independently by stream processors (CUDA cores).


title: On Hodge numbers of complete intersections and Landau--Ginzburg models

abstract:
  We prove that the Hodge number $h^{1,N-1}(X)$ of an $N$-dimensional
($N\geqslant 3$) Fano complete intersection $X$ is less by one then the number
of irreducible components of the central fiber of (any) Calabi--Yau
compactification of Givental's Landau--Ginzburg model for $X$.


title: Software Requirements Specification - Softbody Simulation System

abstract:
  The purpose of this document is to give the vision for interactive computer
graphics physical based simulation systems. It focuses on the needs of
stakeholders and the reasons for such needs.


title: Variational approximation and the use of collective coordinates

abstract:
  We consider propagating, spatially localised waves in a class of equations
that contain variational and non-variational terms. The dynamics of the waves
is analysed through a collective coordinate approach. Motivated by the
variational approximation, we show that there is a natural choice of projection
onto collective variables for reducing the governing (nonlinear) partial
differential equation (PDE) to coupled ordinary differential equations (ODEs).
This projection produces ODEs whose solutions are exactly the stationary states
of the effective Lagrangian that would be considered from applying the
variational approximation method. We illustrate our approach by applying it to
a modified Fisher equation for a travelling front, containing a
non-constant-coefficient nonlinear term. We present numerical results that show
that our proposed projection captures both the equilibria and the dynamics of
the PDE much more closely than previously proposed projections.


title: The dust environment of Main-Belt Comet P/2012 T1 (PANSTARRS)

abstract:
  Main-Belt Comet P/2012 T1 (PANSTARRS) has been imaged using the 10.4m Gran
Telescopio Canarias (GTC) and the 4.2m William Herschel Telescope (WHT) at six
epochs in the period from November 2012 to February 2013, with the aim of
monitoring its dust environment. The dust tails brightness and morphology are
best interpreted in terms of a model of sustained dust emission spanning 4 to 6
months. The total dust mass ejected is estimated at $\sim$6--25$\times10^6$ kg.
We assume a time-independent power-law size distribution function, with
particles in the micrometer to centimeter size range. Based on the quality of
the fits to the isophote fields, an anisotropic emission pattern is favored
against an isotropic one, in which the particle ejection is concentrated toward
high latitudes ($\pm45^\circ$ to $\pm90^\circ$) in a high obliquity object
($I$=80$^\circ$). This seasonally-driven ejection behavior, along with the
modeled particle ejection velocities, are in remarkable agreement to those we
found for P/2010 R2 (La Sagra) \citep{Moreno11a}.


title:
The Bellman function of the dyadic maximal operator related to
  Kolmogorov's inequality

abstract:
  We precisely compute the Bellman function of two variables of the dyadic
maximal operator in relation to Kolmogorov inequality. In this way we give an
alternative proof of the results in [5].Additionally, we characterize the
sequences of functions that are extremal for this Bellman function.The proof of
this is based on that is given in this paper for the Bellman function we are
interested in.


title:
Stability of entire solutions to supercritical elliptic problems
  involving advection

abstract:
  We examine the equation given by \begin{equation} \label{eq_abstract} -\Delta
u + a(x) \cdot \nabla u = u^p \qquad \mbox{in $ \IR^N$,} \end{equation} where
$p>1$ and $ a(x)$ is a smooth vector field satisfying some decay conditions. We
show that for $ p < p_c$, the Joseph-Lundgren exponent, that there is no
positive stable solution of (\ref{eq_abstract}) provided one imposes a
smallness condition on $a$ along with a divergence free condition. In the other
direction we show that for $ N \ge 4$ and $ p > \frac{N-1}{N-3}$ there exists a
positive solution of (\ref{eq_abstract}) provided $a$ satisfies a smallness
condition. For $ p>p_c$ we show the existence of a positive stable solution of
(\ref{eq_abstract}) provided $a$ is divergence free and satisfies a smallness
condition.


title:
A wide-range temperature immune ultra-sensitive refractive index sensor
  using concatenated LPGs

abstract:
  Compensating the temperature induced phase-changes of concatenated
dual-resonance long-period-gratings by a suitably chosen inter-grating material
and space we report wide-range temperature insensitivity along with extremely
high refractive-index sensitivity, on either side of turn-around wavelength.


title:
Self-Similar Anisotropic Texture Analysis: the Hyperbolic Wavelet
  Transform Contribution

abstract:
  Textures in images can often be well modeled using self-similar processes
while they may at the same time display anisotropy. The present contribution
thus aims at studying jointly selfsimilarity and anisotropy by focusing on a
specific classical class of Gaussian anisotropic selfsimilar processes. It will
first be shown that accurate joint estimates of the anisotropy and
selfsimilarity parameters are performed by replacing the standard 2D-discrete
wavelet transform by the hyperbolic wavelet transform, which permits the use of
different dilation factors along the horizontal and vertical axis. Defining
anisotropy requires a reference direction that needs not a priori match the
horizontal and vertical axes according to which the images are digitized, this
discrepancy defines a rotation angle. Second, we show that this rotation angle
can be jointly estimated. Third, a non parametric bootstrap based procedure is
described, that provides confidence interval in addition to the estimates
themselves and enables to construct an isotropy test procedure, that can be
applied to a single texture image. Fourth, the robustness and versatility of
the proposed analysis is illustrated by being applied to a large variety of
different isotropic and anisotropic self-similar fields. As an illustration, we
show that a true anisotropy built-in self-similarity can be disentangled from
an isotropic self-similarity to which an anisotropic trend has been
superimposed.


title: The Second Fermi Large Area Telescope Catalog of Gamma-ray Pulsars

abstract:
  This catalog summarizes 117 high-confidence > 0.1 GeV gamma-ray pulsar
detections using three years of data acquired by the Large Area Telescope (LAT)
on the Fermi satellite. Half are neutron stars discovered using LAT data,
through periodicity searches in gamma-ray and radio data around LAT
unassociated source positions. The 117 pulsars are evenly divided into three
groups: millisecond pulsars, young radio-loud pulsars, and young radio-quiet
pulsars. We characterize the pulse profiles and energy spectra and derive
luminosities when distance information exists. Spectral analysis of the
off-peak phase intervals indicates probable pulsar wind nebula emission for
four pulsars, and off-peak magnetospheric emission for several young and
millisecond pulsars. We compare the gamma-ray properties with those in the
radio, optical, and X-ray bands. We provide flux limits for pulsars with no
observed gamma-ray emission, highlighting a small number of gamma-faint,
radio-loud pulsars. The large, varied gamma-ray pulsar sample constrains
emission models. Fermi's selection biases complement those of radio surveys,
enhancing comparisons with predicted population distributions.


title: On the Cauchy transform of the Bergman space

abstract:
  The range of the Bergman space B_2(G) under the Cauchy transform K is
described for a large class of domains. For a quasidisk G the relation
K(B_2^*(G))=B_2^1(\mathbb C\setminus\bar{G}) is proved.


title: Equivalence of domains with isomorphic semigroups of endomorphisms

abstract:
  For two bounded domains in the complex plane whose semigroups of analytic
endomorphisms are isomorphic, Eremenko proved in 1993 that the isomorphism is
given as a conjugation by a conformal or anticonformal map. In the present
paper we prove an analogue of this result for the case of bounded domains in
\mathbb C^n.


title:
Forward-backward systems of stochastic differential equations generated
  by Bernstein diffusions

abstract:
  In this short article we present new results that bring about hitherto
unknown relations between certain Bernstein diffusions wandering in bounded
convex domains of Euclidean space on the one hand, and processes which
typically occur in forward-backward systems of stochastic differential
equations on the other hand. A key point in establishing such relations lies in
the fact that the Bernstein diffusions we consider are actually reversible
It\^o diffusions.


title:
Implementation of linear maps with circulant matrices via modulo 2
  rectifier circuits of bounded depth

abstract:
  In the present note we show that for any positive integer k an arbitrary
Boolean circulant matrix can be implemented via modulo 2 rectifier circuit of
depth 2k-1 and complexity O(n^{1+1/k}), and also via circuit of depth 2k and
complexity O(n^{1+1/k} log^{-1/k} n).


title:
A penalized simulated maximum likelihood approach in parameter
  estimation for stochastic differential equations

abstract:
  We consider the problem of estimating parameters of stochastic differential
equations (SDEs) with discrete-time observations that are either completely or
partially observed. The transition density between two observations is
generally unknown. We propose an importance sampling approach with an auxiliary
parameter when the transition density is unknown. We embed the auxiliary
importance sampler in a penalized maximum likelihood framework which produces
more accurate and computationally efficient parameter estimates. Simulation
studies in three different models illustrate promising improvements of the new
penalized simulated maximum likelihood method. The new procedure is designed
for the challenging case when some state variables are unobserved and moreover,
observed states are sparse over time, which commonly arises in ecological
studies. We apply this new approach to two epidemics of chronic wasting disease
in mule deer.


title:
A Search for Nucleon Decay via $n \rightarrow \bar{\nu} \pi^{0}$ and $p
  \rightarrow \bar{\nu} \pi^{+}$ in Super-Kamiokande

abstract:
  We present the results of searches for nucleon decay via bound neutron to
antineutrino plus pizero and proton to antineutrino plus piplus using data from
a combined 172.8 kiloton-years exposure of Super-Kamiokande-I, -II, and -III.
We set lower limits on the partial lifetime for each of these modes. For
antineutrino pizero, the partial lifetime is >1.1x10^{33} years; for
antineutrino piplus, the partial lifetime is >3.9x10^{32} years at 90%
confidence level.


title:
Bernstein diffusions for a class of linear parabolic partial
  differential equations

abstract:
  In this article we prove the existence of Bernstein processes which we
associate in a natural way with a class of linear parabolic initial-and final
boundary value problems defined in bounded convex subsets of Euclidean space of
arbitrary dimension. Under certain conditions regarding their endpoint
distributions, we also prove that such processes become reversible Markov
diffusions. Furthermore we show that those diffusions satisfy two It\^o
equations for some suitably constructed Wiener processes, and from that
analysis derive Feynman-Kac representations for the solutions to the given
equations. We then illustrate some of our results by considering the heat
equation with Neumann boundary conditions both in a one-dimensional bounded
interval and in a two-dimensional disk.


title: Weak measurement induced super discord can resurrect lost quantumness

abstract:
  The projective measurement usually destroys the quantum correlation between
two subsystems of a composite system, thereby making the measured state useless
for any efficient quantum information processing and quantum computation task.
The weak measurement acts gently on quantum system and do not force the system
state to decohere completely, thus revealing the super quantum discord, which
can take value more than that of the normal quantum discord. Remarkably, we
prove that the super quantum discord in the post measured state is equal to the
difference between the super quantum discord and the normal quantum discord in
the original state. Thus, the weak measurement has the ability to resurrect the
lost quantumness of any composite quantum state. This suggests a conservation
law for the extra quantum correlation in any composite state. The amount of
extra quantum correlation which is destroyed by the projective measurement in
the original state is equal to the amount of extra quantum correlation captured
by the weak measurement in the post-measured state.


title: Classes of operators on weighted function spaces in Dunkl analysis

abstract:
  For indices p and q, 1 < p <= q < infini and a linear operator L satisfying
some weak-type boundedness conditions on suitable function spaces, we give in
the Dunkl setting sufficient conditions on nonnegative pairs of weight
functions to obtain weighted norm inequalities for the operator L. We apply our
results to obtain weighted (Lp, Lq) boundedness of the Riesz potentials and of
the related fractional maximal operators for the Dunkl transform. Finally, we
prove a weighted generalized Sobolev inequality.


title:
Sur l'autocorr\'elation multiplicative de la fonction "partie
  fractionnaire" et une fonction d\'efinie par J. R. Wilton

abstract:
  We describe the points of diff erentiability of the multiplicative
autocorrelation function of the "fractional part" function. In connection with
this question, we study series involving the fi rst Bernoulli function, the
arithmetical function "number of divisors", and the Gauss map from the theory
of continued fractions. A key role is played by a function defi ned in 1933 by
J. R. Wilton, similar to the Brjuno function of dynamical systems theory. A
unifying theme of our exposition is the use of functional equations involving
the Gauss map, allowing us to reprove and re fine a theorem of Wilton, la
Bret\`eche and Tenenbaum.


title: Branching brownian motion seen from its left-most particule

abstract:
  This paper is a review of the recent progresses on the branching brownian
motion seen from its left-most particule. We describe in particular the recent
works by Arguin-Bovier-Kistler and A\"id\'ekon-Berestycki-Brunet-Shi. This is
the text in french of a Bourbaki seminar given in March 2013.


title:
A remark on compact K\"ahler manifolds with nef anticanonical bundles
  and its applications

abstract:
  Let $(X, \omega_X)$ be a compact K\"ahler manifold such that the
anticanonical bundle $-K_X$ is nef. We prove that the slopes of the
Harder-Narasimhan filtration of the tangent bundle with respect to a
polarization of the form $\omega_X^{n-1}$ are semi-positive. As an application,
we give a characterization of rationally connected compact K\"ahler manifolds
with nef anticanonical bundles. As another application, we give a simple proof
of the surjectivity of the Albanese map.


title: Evidence for the Dynamical Brauer-Manin Criterion

abstract:
  Let f:X->X be a morphism of a variety over a number field K. We consider
local conditions and a "Bruaer-Manin" condition, defined by Hsia and Silverman,
for the orbit of a point P in X(K) to be disjoint from a subvariety V of X,
i.e., the intersection of the orbit of P with V is empty. We provide evidence
that the dynamical Brauer-Manin condition is sufficient to explain the lack of
points in the intersection of the orbit of P with V; this evidence stems from a
probabilistic argument as well as unconditional results in the case of etale
maps.


title: Superdeformation and alpha - cluster structure in 35Cl

abstract:
  A superdeformed (SD) band has been identified in a non - alpha - conjugate
nucleus 35Cl. It crosses the negative parity ground band above 11/2- and
becomes the yrast at 15/2-. Lifetimes of all relevant states have been measured
to follow the evolution of collectivity. Enhanced B(E2), B(E1) values as well
as energetics provide evidences for superdeformation and existence of parity
doublet cluster structure in an odd-A nucleus for the first time in A = 40
region. Large scale shell model calculations assign (sd)16(pf)3 as the origin
of these states. Calculated spectroscopic factors correlate the SD states in
35Cl to those in 36Ar.


title:
Fractional gradient and its application to the fractional advection
  equation

abstract:
  In this paper we provide a definition of fractional gradient operators,
related to directional derivatives. We develop a fractional vector calculus,
providing a probabilistic interpretation and mathematical tools to treat
multidimensional fractional differential equations. A first application is
discussed in relation to the d-dimensional fractional advection-dispersion
equation. We also study the connection with multidimensional L\'evy processes.


title: Non-associative key establishment for left distributive systems

abstract:
  We construct non-associative key establishment protocols for all left
self-distributive (LD), multi-LD-, and other left distributive systems.
Instantiations of these protocols using generalized shifted conjugacy in braid
groups lead to instances of a natural and apparently new group-theoretic
problem, which we call the (subgroup) conjugacy coset problem.


title: "Heterotic" Discrete Flavor Model

abstract:
  We present an extended 331 model with $T'$ discrete flavor symmetry that
simultaneously explains the need to have exactly three generations and provides
acceptable quark and lepton masses and mixings. New fermionic states and gauge
bosons are predicted within the reach of the LHC. We discuss the relevance to
the 126 GeV scalar discovered at the LHC.


title:
Communicating over Filter-and-Forward Relay Networks with Channel Output
  Feedback

abstract:
  Relay networks aid in increasing the rate of communication from source to
destination. However, the capacity of even a three-terminal relay channel is an
open problem. In this work, we propose a new lower bound for the capacity of
the three-terminal relay channel with destination-to-source feedback in the
presence of correlated noise. Our lower bound improves on the existing bounds
in the literature. We then extend our lower bound to general relay network
configurations using an arbitrary number of filter-and-forward relay nodes.
Such network configurations are common in many multi-hop communication systems
where the intermediate nodes can only perform minimal processing due to limited
computational power. Simulation results show that significant improvements in
the achievable rate can be obtained through our approach. We next derive a
coding strategy (optimized using post processed signal-to-noise ratio as a
criterion) for the three-terminal relay channel with noisy channel output
feedback for two transmissions. This coding scheme can be used in conjunction
with open-loop codes for applications like automatic repeat request (ARQ) or
hybrid-ARQ.


title: Semilinear Hyperbolic Equations in Curved Spacetime

abstract:
  This is a survey of the author's recent work rather than a broad survey of
the literature. The survey is concerned with the global in time solutions of
the Cauchy problem for matter waves propagating in the curved spacetimes, which
can be, in particular, modeled by cosmological models. We examine the global in
time solutions of some class of semililear hyperbolic equations, such as the
Klein-Gordon equation, which includes the Higgs boson equation in the Minkowski
spacetime, de Sitter spacetime, and Einstein & de Sitter spacetime. The crucial
tool for the obtaining those results is a new approach suggested by the author
based on the integral transform with the kernel containing the hypergeometric
function.\\ {\bf Mathematics Subject Classification (2010):} Primary 35L71,
35L53; Secondary 81T20, 35C15.\\ {\bf Keywords:} \small {de Sitter spacetime;
Klein-Gordon equation; Global solutions; Huygens' principle; Higuchi bound}


title:
Synchrony suppression in ensembles of coupled oscillators via adaptive
  vanishing feedback

abstract:
  Synchronization and emergence of a collective mode is a general phenomenon,
frequently observed in ensembles of coupled self-sustained oscillators of
various natures. In several circumstances, in particular in cases of
neurological pathologies, this state of the active medium is undesirable.
Destruction of this state by a specially designed stimulation is a challenge of
high clinical relevance. Typically, the precise effect of an external action on
the ensemble is unknown, since the microscopic description of the oscillators
and their interactions are not available. We show, that desynchronization in
case of a large degree of uncertainty about important features of the system is
nevertheless possible; it can by achieved by virtue of a feedback loop with an
additional adaptation of parameters. The adaptation also ensures
desynchronization of ensembles with non-stationary, time-varying parameters. We
perform the stability analysis of the feedback-controlled system and
demonstrate efficient destruction of synchrony for several models, including
those of spiking and bursting neurons.


title: $L_1$-norm of combinations of products of independent random variables

abstract:
  We show that $L_1$-norm of linear combinations (with scalar or vector
coefficients) of products of i.i.d. nonnegative mean one random variables is
comparable to $l_1$-norm of coefficients.


title:
The subgroup membership problem in amalgamated products of finitely
  generated free groups

abstract:
  Stallings folding theory is modified, using double coset representatives, and
to applied to the study of subgroups of amalgamated products of finite rank
free groups. As a first application the subgroup membership problem for such
groups is shown to be decidable. An algorithm for this problem is constructed
and its complexity is analysed. Groups in this class are also shown to possess
the Howson property.


title: Approximately pi proofs that the stock market can approximate pi

abstract:
  We give three derivations of Polya's approximation for the expected range of
a simple random walk in one dimension. This result allows for an estimation of
the volatility of a financial instrument from the difference between the high
and low prices, or, equivalently, for an estimation of pi from the ratio of the
volatility to the difference between high and low prices.


title: Entropic fluctuations of quantum dynamical semigroups

abstract:
  We study a class of finite dimensional quantum dynamical semigroups exp(tL)
whose generators L are sums of Lindbladians satisfying the detailed balance
condition. Such semigroup arise in the weak coupling (van Hove) limit of
Hamiltonian dynamical systems describing open quantum systems out of
equilibrium. We prove a general entropic fluctuation theorem for this class of
semigroups by relating the cumulant generating function of entropy transport to
the spectrum of a family of deformations of the generator L. We show that,
besides the celebrated Evans-Searles symmetry, this cumulant generating
function also satisfies the translation symmetry recently discovered by
Andrieux et al., and that in the linear regime near equilibrium these two
symmetries yield Kubo's and Onsager's linear response relations.

categories: math-ph cond-mat.mes-hall cond-mat.stat-mech math.MP quant-ph


title: On the steady state correlation functions of open interacting systems

abstract:
  We address the existence of steady state Green-Keldysh correlation functions
of interacting fermions in mesoscopic systems for both the partitioning and
partition-free scenarios. Under some spectral assumptions on the
non-interacting model and for sufficiently small interaction strength, we show
that the system evolves to a NESS which does not depend on the profile of the
time-dependent coupling strength/bias. For the partitioned setting we also show
that the steady state is independent of the initial state of the inner sample.
Closed formulae for the NESS two-point correlation functions (Green-Keldysh
functions), in the form of a convergent expansion, are derived. In the
partitioning approach, we show that the 0th order term in the interaction
strength of the charge current leads to the Landauer-Buettiker formula, while
the 1st order correction contains the mean-field (Hartree-Fock) results.


title: Ground-state pressure of quasi-2D Fermi and Bose gases

abstract:
  Using an ultracold gas of atoms, we have realized a quasi-two-dimensional
Fermi system with widely tunable s-wave interactions nearly in a ground state.
Pressure and density are measured. The experiment covers physically different
regimes: weakly and strongly attractive Fermi gases and a Bose gas of tightly
bound pairs of fermions. In the Fermi regime of weak interactions, the pressure
is systematically above a Fermi-liquid-theory prediction, maybe due to
mesoscopic effects. In the opposite Bose regime, the pressure agrees with a
bosonic mean-field scaling in a range beyond simplest expectations. In the
strongly interacting regime, measurements disagree with a purely 2D model.
Reported data may serve for sensitive testing of theoretical methods applicable
across different quantum physics disciplines.


title: Determinantal Martingales and Noncolliding Diffusion Processes

abstract:
  Two aspects of noncolliding diffusion processes have been extensively
studied. One of them is the fact that they are realized as harmonic Doob
transforms of absorbing particle systems in the Weyl chambers. Another aspect
is integrability in the sense that any spatio-temporal correlation function can
be expressed by a determinant. The purpose of the present paper is to clarify
the connection between these two aspects. We introduce a notion of
determinantal martingale and prove that, if the system has
determinantal-martingale representation, then it is determinantal. In order to
demonstrate the direct connection between the two aspects, we study three
processes.

categories: math.PR cond-mat.stat-mech math-ph math.MP


title:
A Penalized Multi-trait Mixed Model for Association Mapping in
  Pedigree-based GWAS

abstract:
  In genome-wide association studies (GWAS), penalization is an important
approach for identifying genetic markers associated with trait while mixed
model is successful in accounting for a complicated dependence structure among
samples. Therefore, penalized linear mixed model is a tool that combines the
advantages of penalization approach and linear mixed model. In this study, a
GWAS with multiple highly correlated traits is analyzed. For GWAS with multiple
quantitative traits that are highly correlated, the analysis using traits
marginally inevitably lose some essential information among multiple traits. We
propose a penalized-MTMM, a penalized multivariate linear mixed model that
allows both the within-trait and between-trait variance components
simultaneously for multiple traits. The proposed penalized-MTMM estimates
variance components using an AI-REML method and conducts variable selection and
point estimation simultaneously using group MCP and sparse group MCP. Best
linear unbiased predictor (BLUP) is used to find predictive values and the
Pearson's correlations between predictive values and their corresponding
observations are used to evaluate prediction performance. Both prediction and
selection performance of the proposed approach and its comparison with the
uni-trait penalized-LMM are evaluated through simulation studies. We apply the
proposed approach to a GWAS data from Genetic Analysis Workshop (GAW) 18.


title: On Collective Properties of Turbulent QED Plasma

abstract:
  Polarization properties of turbulent stochastically inhomogeneous
ultrarelativistic QED plasma are studied. It is shown that the sign of
nonlinear turbulent Landau damping corresponds to an instability of the
spacelike modes and, for sufficiently large turbulent fields, to an actual
instability of a system. Modification of plasmon dispersion relations due to
turbulent effects are studied.


title: Dark energy with rigid voids versus relativistic voids alone

abstract:
  The standard model of cosmology is dominated - at the present epoch - by dark
energy. Its voids are rigid and Newtonian within a relativistic background. The
model prevents them from becoming hyperbolic. Observations of rapid velocity
flows out of voids are normally interpreted within the standard model that is
rigid in comoving coordinates, instead of allowing the voids' density parameter
to drop below critical and their curvature to become negative. Isn't it time to
advance beyond nineteenth century physics and relegate dark energy back to the
"no significant evidence" box?


title: Product sets cannot contain long arithmetic progressions

abstract:
  Let $B$ be a set of natural numbers of size $n$. We prove that the length of
the longest arithmetic progression contained in the product set $B.B = \{bb'|
\, b, b' \in B\}$ cannot be greater than $O(\frac{n\log^2 n}{\log \log n})$ and
present an example of a product set containing an arithmetic progression of
length $\Omega(n \log n)$. For sets of complex numbers we obtain the upper
bound $O(n^{3/2})$.


title:
Scaling of the dynamics of homogeneous states of one-dimensional
  long-range interacting systems

abstract:
  Quasi-Stationary States of long-range interacting systems have been studied
at length over the last fifteen years. It is known that the collisional terms
of the Balescu-Lenard and Landau equations vanish for one-dimensional systems
in homogeneous states, thus requiring a new kinetic equation with a proper
dependence on the number of particles. Here we show that previous scalings
described in the literature are due either to small size effects or the use of
improper variables to describe the dynamics. The correct scaling is
proportional to the square of the number of particles and deduce the kinetic
equation valid for the homogeneous regime and numerical evidence is given for
the Hamiltonian Mean Field and ring models.


title: A Near-Infrared Spectroscopic Study of Young Field Ultracool Dwarfs

abstract:
  We present a near-infrared (0.9-2.4 microns) spectroscopic study of 73 field
ultracool dwarfs having spectroscopic and/or kinematic evidence of youth
(~10-300 Myr). Our sample is composed of 48 low-resolution (R~100) spectra and
41 moderate-resolution spectra (R>~750-2000). First, we establish a method for
spectral typing M5-L7 dwarfs at near-IR wavelengths that is independent of
gravity. We find that both visual and index-based classification in the near-IR
provide consistent spectral types with optical spectral types, though with a
small systematic offset in the case of visual classification at J and K band.
Second, we examine features in the spectra of ~10 Myr ultracool dwarfs to
define a set of gravity-sensitive indices based on FeH, VO, K, Na and H-band
continuum shape. We then create an index-based method for classifying the
gravities of M6-L5 dwarfs that provides consistent results with gravity
classifications from optical spectroscopy. Our index-based classification can
distinguish between young and dusty objects. Guided by the resulting
classifications, we propose a set of low-gravity spectral standards for the
near-IR. Finally, we estimate the ages corresponding to our gravity
classifications.


title:
Imbalanced Beamforming by a Multi-antenna Source for Secure Utilization
  of an Untrusted Relay

abstract:
  We investigate a relay network where a multiantenna source can potentially
utilize an unauthenticated (untrusted) relay to augment its direct transmission
of a confidential message to the destination. Since the relay is untrusted, it
is desirable to protect the confidential data from it while simultaneously
making use of it to increase the reliability of the transmission. We present a
low-complexity scheme denoted as imbalanced beamforming based on linear
beamforming and constellation mapping that ensures perfect physical-layer
security even while utilizing the untrusted relay. Furthermore, the security of
the scheme holds even if the relay adopts the conventional decodeand- forward
protocol, unlike prior work. Simulation results show that the proposed
imbalanced signaling maintains a constant BER of 0.5 at the eavesdropper at any
SNR and number of source antennas, while maintaining or improving the detection
performance of the destination compared to not utilizing the relay or existing
security methods.


title:
Formation and Properties of Selenium Double-Helices inside Double-Wall
  Carbon Nanotubes: Experiment and Theory

abstract:
  We report the production of covalently bonded selenium double-helices within
the narrow cavity inside double-wall carbon nanotubes. The double-helix
structure, characterized by high-resolution transmission electron microscopy
and X-ray diffraction, is completely different from the bulk atomic arrangement
and may be considered a new structural phase of Se. Supporting ab initio
calculations indicate that the observed encapsulated Se double-helices are
radially compressed and have formed from free Se atoms or short chains
contained inside carbon nanotubes. The calculated electronic structure of Se
double-helices is very different from the bulk system, indicating the
possibility to develop a new branch of Se chemistry.


title: A prequential test for exchangeable theories

abstract:
  We construct a prequential test of probabilistic forecasts that does not
reject correct forecasts when the data-generating processes is exchangeable and
is not manipulable by a false forecaster.


title: Theory of Barnes Beta Distributions

abstract:
  A new family of probability distributions $\beta_{M, N},$ $M=0\cdots N,$
$N\in\mathbb{N}$ on the unit interval $(0, 1]$ is defined by the Mellin
transform. The Mellin transform of $\beta_{M, N}$ is characterized in terms of
products of ratios of Barnes multiple gamma functions, shown to satisfy a
functional equation, and a Shintani-type infinite product factorization. The
distribution $\log\beta_{M, N}$ is infinitely divisible. If $M<N,$
$-\log\beta_{M, N}$ is compound Poisson, if $M=N,$ $\log\beta_{M, N}$ is
absolutely continuous. The integral moments of $\beta_{M, N}$ are expressed as
Selberg-type products of multiple gamma functions. The asymptotic behavior of
the Mellin transform is derived and used to prove an inequality involving
multiple gamma functions and establish positivity of a class of alternating
power series. For application, the Selberg integral is interpreted
probabilistically as a transformation of $\beta_{1, 1}$ into a product of
$\beta^{-1}_{2, 2}s.$


title: On linear groups over weakly locally finite division rings

abstract:
  In this paper, we give the definition of {\em weakly locally finite} division
rings and we show that the class of these rings strictly contains the class of
locally finite division rings. Further, we study multiplicative subgroups in
these rings. Some skew linear groups are also considered. Our new obtained
results generalize previous results for centrally finite case.


title:
Refined algebraic quantisation in a system with nonconstant gauge
  invariant structure functions

abstract:
  In a previous work [J. Math. Phys. 52, 123504 (2011)], refined algebraic
quantisation (RAQ) within a family of classically equivalent constrained
Hamiltonian systems that are related to each other by rescaling one
momentum-type constraint was investigated. In the present work, the first steps
to generalise this analysis to cases where more constraints occur are
developed. The system under consideration contains two momentum-type
constraints, originally abelian, where rescalings of these constraints by a
non-vanishing function of the coordinates are allowed. These rescalings induce
structure functions at the level of the gauge algebra. Providing a specific
parametrised family of real-valued scaling functions, the implementation of the
corresponding rescaled quantum momentum-type constraints is performed using RAQ
when the gauge algebra: (i) remains abelian and (ii) undergoes into an algebra
of a nonunimodular group with nonconstant gauge invariant structure functions.
Case (ii) becomes the first example known to the author where an open algebra
is handled in refined algebraic quantisation. Challenging issues that arise in
the presence of non-gauge invariant structure functions are also addressed.


title: Hidden Structural Order in Orthorhombic Tantalum Pentoxide (Ta$_2$O$_5$)

abstract:
  We investigate using first-principles calculations the atomic structure of
the orthorhombic phase of Ta$_2$O$_5$. Although this structure has been studied
for decades, the correct structural model is controversial owing to the
complication of structural disorder. We identify a new low-energy high-symmetry
structural model where all Ta and O atoms have correct formal oxidation states
of +5 and -2, respectively, and the experimentally reported triangular lattice
symmetry of the Ta sublattice appears dynamically at finite temperatures. To
understand the complex atomic structure of the Ta$_2$O$_3$ plane, a triangular
graph-paper representation is devised and used alongside oxidation state
analysis to reveal infinite variations of the low-energy structural model. The
structural disorder of Ta$_2$O$_5$ observed in experiments is attributed to the
intrinsic structural variations, and oxygen vacancies that drive collective
relaxation of the O sublattice.


title:
Concentration phenomenon for fractional nonlinear Schr\"{o}dinger
  equations

abstract:
  We study the concentration phenomenon for solutions of the fractional
nonlinear Schr\"{o}dinger equation, which is nonlocal. We mainly use the
Lyapunov-Schmidt reduction method. Precisely, consider the nonlinear equation
\begin{equation}\label{e:abstract}
(-\varepsilon^2\Delta)^sv+Vv-|v|^{\alpha}v=0\quad\mbox{in}\quad\mathbf R^n,
\end{equation} where $n =1, 2, 3$, $\max\{\frac{1}{2}, \frac{n}{4}\}< s < 1$,
$1 \leq \alpha < \alpha_*(s,n)$, $V\in C^3_{b}(\mathbf{R}^n)$. Here the
exponent $\alpha_*(s,n)=\frac{4s}{n-2s}$ for $0 < s < \frac{n}{2}$ and
$\alpha_*(s,n)=\infty$ for $s \geq\frac{n}{2}$. Then for each non-degenerate
critical point $z_0$ of $V$, there is a nontrivial solution of equation
(\ref{e:abstract}) concentrating to $z_0$ as $\varepsilon\to 0$.


title:
Effect of magnetic criticality and Fermi-surface topology on the
  magnetic penetration depth

abstract:
  We investigate the effect of anti-ferromagnetic (AF) quantum criticality on
the magnetic penetration depth $\lambda(T)$ in line-nodal superconductors,
including the cuprates, the iron pnictides, and the heavy-fermion
superconductors. The critical magnetic fluctuation renormalizes the current
vertex and drastically enhances zero-temperature penetration depth
$\lambda(0)$, which is more remarkable in the iron-pnictide case due to the
Fermi-surface topology. Additional temperature ($T$) dependence of the current
renormalization makes the expected $T$-linear behavior at low temperatures
approaching to $T^{1.5}$ asymptotically. These anomalous behaviors are well
consistent with experimental observations. We stress that $\lambda(T)$ is a
good probe to detect the AF quantum critical point in the superconducting
state.


title:
Optimization of graphene dry etching conditions via combined microscopic
  and spectroscopic analysis

abstract:
  Single-layer graphene structures and devices are commonly defined using
reactive ion etching and plasma etching with O2 or Ar as the gaseous etchants.
Although optical microscopy and Raman spectroscopy are widely used to determine
the appropriate duration of dry etching, additional characterization with
atomic force microscopy (AFM) reveals that residual graphene and/or etching
byproducts persist beyond the point where the aforementioned methods suggest
complete graphene etching. Recognizing that incomplete etching may have
deleterious effects on devices and/or downstream processing, AFM
characterization is used here to determine optimal etching conditions that
eliminate graphene dry etching residues.


title: Inferring High Quality Co-Travel Networks

abstract:
  Social networks provide a new perspective for enterprises to better
understand their customers and have attracted substantial attention in
industry. However, inferring high quality customer social networks is a great
challenge while there are no explicit customer relations in many traditional
OLTP environments. In this paper, we study this issue in the field of passenger
transport and introduce a new member to the family of social networks, which is
named Co-Travel Networks, consisting of passengers connected by their co-travel
behaviors. We propose a novel method to infer high quality co-travel networks
of civil aviation passengers from their co-booking behaviors derived from the
PNRs (Passenger Naming Records). In our method, to accurately evaluate the
strength of ties, we present a measure of Co-Journey Times to count the
co-travel times of complete journeys between passengers. We infer a high
quality co-travel network based on a large encrypted PNR dataset and conduct a
series of network analyses on it. The experimental results show the
effectiveness of our inferring method, as well as some special characteristics
of co-travel networks, such as the sparsity and high aggregation, compared with
other kinds of social networks. It can be expected that such co-travel networks
will greatly help the industry to better understand their passengers so as to
improve their services. More importantly, we contribute a special kind of
social networks with high strength of ties generated from very close and high
cost travel behaviors, for further scientific researches on human travel
behaviors, group travel patterns, high-end travel market evolution, etc., from
the perspective of social networks.


title:
Quasi-classical Gravity effect on neutrino oscillations in a
  gravitational field of an heavy astrophysical object

abstract:
  In the framework of quantum field theory, a graviton interacts locally with a
quantum state having definite mass, i.e. the gravitational mass eigenstate,
while a weak boson interacts with a state having definite flavor, i.e. the
flavor eigenstate. An interaction of a neutrino with an energetic graviton may
trigger the collapse of the neutrino to a definite mass eigenstate with
probability expressed in terms of PMNS mixing matrix elements. Thus, gravitons
would induce quantum decoherence of a coherent neutrino flavor state similarly
to how weak bosons induce quantum decoherence of a neutrino in a definite mass
state. We demonstrate that such an essentially quantum gravity effect may have
strong consequences for neutrino oscillation phenomena in astrophysics due to
relatively large scattering cross sections of relativistic neutrinos undergoing
large-angle radiation of energetic gravitons in gravitational field of a
classical massive source (i.e. the quasi-classical case of gravitational
Bethe-Heitler scattering). This graviton-induced {\it decoherence} is compared
to {\it decoherence} due to propagation in the presence of the Earth matter
effect. Based on this study, we propose a new technique for the indirect
detection of energetic gravitons by measuring the flavor composition of
astrophysical neutrinos.


title:
Constraints on radion in a warped extra dimension model from Higgs boson
  searches at the LHC

abstract:
  We study constraints on the radion mass and couplings in the Randall-Sundrum
model from the recent LHC data on the Standard Model (SM) Higgs boson searches.
When the radion is heavy enough so that it can decay into a pair of on-shell
Z-bosons, we find that the ZZ channel gives a stringent constraint. For
example, if the radion mass m_\phi is 200 GeV, the scale \Lambda_\phi which
characterizes the interactions of the radion with the SM fields must be larger
than 5 TeV. Even for m_\phi=1 TeV, we find that the lower bound on \Lambda_\phi
is 2 TeV.


title:
Adsorption of cytosine and aza derivatives of cytidine on Au single
  crystal surfaces

abstract:
  The adsorption of cytosine on the Au(111) and Au(110) surfaces has been
studied using both aqueous deposition and evaporation in vacuum to prepare the
samples. Soft X-ray photoelectron spectroscopy (XPS) and near edge X-ray
absorption fine structure spectroscopy (NEXAFS) were used to determine the
electronic structure and orientation of the adsorbates. In addition, three
derivatives of cytosine, 6-azacytosine, 6-azacytidine and 5- azacytidine, were
studied. Monolayer films of the latter three samples were adsorbed on Au(111)
from aqueous solution, and the nature of bonding was determined. Spectra have
been interpreted in the light of published calculations of free cytosine
molecules and new ab initio calculations of the other compounds. Surface core
level shifts of Au 4f imply that all of these compounds are chemisorbed.
Cytosine adsorbs as a single tautomer, but in two chemical states with
different surface-molecule bonding. For deposition in vacuum, a flat-lying
molecular state bonded through the N(3) atom of the pyrimidine ring dominates,
but a second state is also present. For deposition from solution, the second
state dominates, with the molecular plane no longer parallel to the surface.
This state also bonds through the N(3) atom, but in addition interacts with the
surface via the amino group. Two tautomers of 6-azacytosine were observed, and
they and 6-azacytidine adsorb with similar geometries, chemically bonding via
the azacytosine ring. The ribose ring does not appear to perturb the adsorption
of azacytidine compared with azacytosine. The azacytosine ring is nearly but
not perfectly parallel to the surface, like 5-azacytidine, which adsorbs as an
imino tautomer. ...


title:
Meta Path-Based Collective Classification in Heterogeneous Information
  Networks

abstract:
  Collective classification has been intensively studied due to its impact in
many important applications, such as web mining, bioinformatics and citation
analysis. Collective classification approaches exploit the dependencies of a
group of linked objects whose class labels are correlated and need to be
predicted simultaneously. In this paper, we focus on studying the collective
classification problem in heterogeneous networks, which involves multiple types
of data objects interconnected by multiple types of links. Intuitively, two
objects are correlated if they are linked by many paths in the network.
However, most existing approaches measure the dependencies among objects
through directly links or indirect links without considering the different
semantic meanings behind different paths. In this paper, we study the
collective classification problem taht is defined among the same type of
objects in heterogenous networks. Moreover, by considering different linkage
paths in the network, one can capture the subtlety of different types of
dependencies among objects. We introduce the concept of meta-path based
dependencies among objects, where a meta path is a path consisting a certain
sequence of linke types. We show that the quality of collective classification
results strongly depends upon the meta paths used. To accommodate the large
network size, a novel solution, called HCC (meta-path based Heterogenous
Collective Classification), is developed to effectively assign labels to a
group of instances that are interconnected through different meta-paths. The
proposed HCC model can capture different types of dependencies among objects
with respect to different meta paths. Empirical studies on real-world networks
demonstrate that effectiveness of the proposed meta path-based collective
classification approach.


title:
Discovery potential of hidden charm baryon resonances via
  photoproduction

abstract:
  In this work, we study the possibility to find $N^*_{c\bar{c}}$ and
$\Lambda^*_{c\bar{c}}$ resonances with hidden charm with mass above 4 GeV in
the photon-induced production. The cross sections for the photoproductions of
hidden charmed baryons are predicted in the effective Lagrangian approach with
the vector meson dominance mechanism. The $N^*(4412)$ can be produced directly
by photon excitation with total cross section about 1 nb. The $N^*(4412)$
provides a obvious peak near threshold for $J/\psi$ photoproduction, which is
promising to be checked by the future high precision experiment at JLab 12 GeV.
The results will be helpful to the experimental search for the hidden-charmed
baryon resonances in the coming experiment at JLab 12 GeV, such as SoLID, and
the proposed electron-ion colliders at FAIR and HIAF.


title: Software for multiplier ideals

abstract:
  We describe a new software package for computing multiplier ideals in certain
cases, including monomial ideals, monomial curves, generic determinantal
ideals, and hyperplane arrangements. In these cases we take advantage of
combinatorial formulas for multiplier ideals given by results of Howald,
Thompson, and Johnson. The package uses Normaliz. It is available as a library
for Macaulay2.


title:
An explicit scheme for ohmic dissipation with smoothed particle
  magneto-hydrodynamics

abstract:
  In this paper, we present an explicit scheme for Ohmic dissipation with
smoothed particle magneto-hydrodynamics (SPMHD). We propose a SPH
discretization of Ohmic dissipation and solve Ohmic dissipation part of
induction equation with the supertime-stepping method (STS) which allows us to
take a longer time-step than Courant-Friedrich-Levy stability condition. Our
scheme is second-order accurate in space and first-order accurate in time. Our
numerical experiments show that optimal choice of the parameters of STS for
Ohmic dissipation of SPMHD is {\nu}sts ~ 0.01 and Nsts ~ 5.


title: Satellites of an oriented surface link and their local moves

abstract:
  For an oriented surface link $F$ in $\mathbb{R}^4$, we consider a satellite
construction of a surface link, called a 2-dimensional braid over $F$, which is
in the form of a covering over $F$. We introduce the notion of an $m$-chart on
a surface diagram $\pi(F)\subset \mathbb{R}^3$ of $F$, which is a finite graph
on $\pi(F)$ satisfying certain conditions and is an extended notion of an
$m$-chart on a 2-disk presenting a surface braid. A 2-dimensional braid over
$F$ is presented by an $m$-chart on $\pi(F)$. It is known that two surface
links are equivalent if and only if their surface diagrams are related by a
finite sequence of ambient isotopies of $\mathbb{R}^3$ and local moves called
Roseman moves. We show that Roseman moves for surface diagrams with $m$-charts
can be well-defined.


title: Dark aspects of massive spinor electrodynamics

abstract:
  We investigate the cosmology of massive spinor electrodynamics when torsion
is non-vanishing. A non-minimal interaction is introduced between the torsion
and the vector field and the coupling constant between them plays an important
role in subsequential cosmology. It is shown that the mass of the vector field
and torsion conspire to generate dark energy and pressureless dark matter, and
for generic values of the coupling constant, the theory effectively provides an
interacting model between them with an additional energy density of the form
$\sim 1/a^6$. The evolution equations mimic $\Lambda$CDM behavior up to $1/a^3$
term and the additional term represents a deviation from $\Lambda$CDM. We show
that the deviation is compatible with the observational data, if it is very
small. We find that the non-minimal interaction is responsible for generating
an effective cosmological constant which is directly proportional to the mass
squared of the vector field and the mass of the photon within its current
observational limit could be the source of the dark energy.


title: Worldsheet Instanton Corrections to 522-brane Geometry

abstract:
  We study worldsheet instanton corrections to the exotic 522-brane geometry in
type II string theory. The BPS vortices in the N=(4,4) gauged linear sigma
model modify the geometry of the 522-brane. We find that the modification of
the geometry is understood by the localization in the T-dualized winding
direction.


title: Realistic cost for the model of coherent computing

abstract:
  For the model of so-called coherent computing recently proposed by Yamamoto
et al. [Y. Yamamoto et al., New Gen. Comput. 30 (2012) 327-355], a theoretical
analysis of the success probability is given. Although it was claimed as their
prospect that the Ising spin configuration problem would be efficiently
solvable in the model, here it is shown that the probability of finding a
desired spin configuration decreases exponentially in the number of spins for
certain hard instances. The model is thus physically unfeasible for solving the
problem within a polynomial cost.


title: Stability Analysis of Thin-Shell Wormholes from Charged Black String

abstract:
  In this paper, we construct thin-shell wormholes from charged black string
through cut and paste procedure and investigate its stability. We assume
modified generalized Chaplygin gas as a dark energy fluid (exotic matter)
present in the thin layer of matter-shell. The stability of these constructed
thin-shell wormholes is investigated in the scenario of linear perturbations.
We conclude that static stable as well as unstable configurations are possible
for cylindrical thin-shell wormholes.


title: Self-trapping dynamics in a 2D optical lattice

abstract:
  We describe theoretical models for the recent experimental observation of
Macroscopic Quantum Self-Trapping (MQST) in the transverse dynamics of an
ultracold bosonic gas in a 2D lattice. The pure mean-field model based on the
solution of coupled nonlinear equations fails to reproduce the experimental
observations. It greatly overestimates the initial expansion rates at short
times and predicts a slower expansion rate of the cloud at longer times. It
also predicts the formation of a hole surrounded by a steep square fort-like
barrier which was not observed in the experiment. An improved theoretical
description based on a simplified Truncated Wigner Approximation (TWA), which
adds phase and number fluctuations in the initial conditions, pushes the
theoretical results closer to the experimental observations but fails to
quantitatively reproduce them. An explanation of the delayed expansion as a
consequence of a new type of self-trapping mechanism, where quantum
correlations suppress tunneling even when there are no density gradients, is
discussed and supported by numerical time-dependent Density Matrix
Renormalization Group (t-DMRG) calculations performed in a simplified two
coupled tubes set-up.


title:
Rapid mental computation system as a tool for algorithmic thinking of
  elementary school students development

abstract:
  In this paper, we describe the possibilities of using a rapid mental
computation system in elementary education. The system consists of a number of
readily memorized operations that allow one to perform arithmetic computations
very quickly. These operations are actually simple algorithms which can develop
or improve the algorithmic thinking of pupils. Using a rapid mental computation
system allows forming the basis for the study of computer science in secondary
school.


title:
Multi-receiver Authentication Scheme for Multiple Messages Based on
  Linear Codes

abstract:
  In this paper, we construct an authentication scheme for multi-receivers and
multiple messages based on a linear code $C$. This construction can be regarded
as a generalization of the authentication scheme given by Safavi-Naini and
Wang. Actually, we notice that the scheme of Safavi-Naini and Wang is
constructed with Reed-Solomon codes. The generalization to linear codes has the
similar advantages as generalizing Shamir's secret sharing scheme to linear
secret sharing sceme based on linear codes. For a fixed message base field
$\f$, our scheme allows arbitrarily many receivers to check the integrity of
their own messages, while the scheme of Safavi-Naini and Wang has a constraint
on the number of verifying receivers $V\leqslant q$. And we introduce access
structure in our scheme. Massey characterized the access structure of linear
secret sharing scheme by minimal codewords in the dual code whose first
component is 1. We slightly modify the definition of minimal codewords in
\cite{Massey93}. Let $C$ be a $[V,k]$ linear code. For any coordinate $i\in
\{1,2,\cdots,V\}$, a codeword $\vec{c}$ in $C$ is called minimal respect to $i$
if the codeword $\vec{c}$ has component 1 at the $i$-th coordinate and there is
no other codeword whose $i$-th component is 1 with support strictly contained
in that of $\vec{c}$. Then the security of receiver $R_i$ in our authentication
scheme is characterized by the minimal codewords respect to $i$ in the dual
code $C^\bot$.


title:
A numerical method based on the reproducing kernel Hilbert space method
  for the solution of fifth-order boundary-value problems

abstract:
  In this paper, we present a fast and accurate numerical scheme for the
solution of fifth-order boundary-value problems. We apply the reproducing
kernel Hilbert space method (RKHSM) for solving this problem. The analytic
results of the equations have been obtained in terms of convergent series with
easily computable components. We compare our results with spline methods,
decomposition method, variational iteration method, Sinc-Galerkin method and
homotopy perturbation methods. The comparison of the results with exact ones is
made to confirm the validity and efficiency.


title: An analysis of block sampling strategies in compressed sensing

abstract:
  Compressed sensing is a theory which guarantees the exact recovery of sparse
signals from a small number of linear projections. The sampling schemes
suggested by current compressed sensing theories are often of little practical
relevance since they cannot be implemented on real acquisition systems. In this
paper, we study a new random sampling approach that consists in projecting the
signal over blocks of sensing vectors. A typical example is the case of blocks
made of horizontal lines in the 2D Fourier plane. We provide theoretical
results on the number of blocks that are required for exact sparse signal
reconstruction. This number depends on two properties named intra and
inter-support block coherence. We then show through a series of examples
including Gaussian measurements, isolated measurements or blocks in
time-frequency bases, that the main result is sharp in the sense that the
minimum amount of blocks necessary to reconstruct sparse signals cannot be
improved up to a multiplicative logarithmic factor. The proposed results
provide a good insight on the possibilities and limits of block compressed
sensing in imaging devices such as magnetic resonance imaging,
radio-interferometry or ultra-sound imaging.


title:
Dual bases for non commutative symmetric and quasi-symmetric functions
  via monoidal factorization

abstract:
  In this work, an effective construction, via Sch\"utzenberger's monoidal
factorization, of dual bases for the non commutative symmetric and
quasi-symmetric functions is proposed.


title: Cooperation of anti-aligning and aligning shell-model forces for N=Z

abstract:
  For two neutrons and two protons or two neutron holes and two proton holes in
a single j-shell, the state |phi> with isospin and seniority zero and the
lowest angular momentum zero state |chi> produced by an attractive interaction
of quasinucleon pairs with angular momentum 2j have a large overlap for all
relevant j and large contents of quasinucleon pairs with angular momenta 2j and
0, respectively. In the 1f7/2 and 1g9/2 shells, the large negative matrix
elements of the effective interaction in these two channels relative to most of
the rest therefore_cooperate_ to produce a ground state which is essentially a
linear combination of |phi> and |chi> with comparable coefficients. Interaction
matrix elements in other channels influence significantly the_ratio_ of these
coefficients. The state |phi> makes up about 80 % of the calculated ground
states. The overlaps of the latter with |chi> are_less_ in the 1g9/2 shell than
in the 1f7/2 shell.


title: Relative Fisher information of discrete classical orthogonal polynomials

abstract:
  The analytic information theory of discrete distributions was initiated in
1998 by C. Knessl, P. Jacquet and S. Szpankowski who addressed the precise
evaluation of the Renyi and Shannon entropies of the Poisson, Pascal (or
negative binomial) and binomial distributions. They were able to derive various
asymptotic approximations and, at times, lower and upper bounds for these
quantities. Here we extend these investigations in a twofold way. First, we
consider a much larger class of distributions, the Rakhmanov distributions
$\rho_n(x)=\omega(x)y_n^2(x)$, where $\{y_n(x)\}$ denote the sequences of
discrete hypergeometric-type polynomials which are orthogonal with respect to
the weight function $\omega(x)$ of Poisson, Pascal, binomial and hypergeometric
types; that is the polynomials of Charlier, Meixner, Kravchuk and Hahn. Second,
we obtain the explicit expressions for the relative Fisher information of these
four families of Rakhmanov distributions with respect to their respective
weight functions.


title:
Sch\"utzenberger's factorization on the (completed) Hopf algebra of
  $q-$stuffle product

abstract:
  In order to extend the Sch\"utzenberger's factorization, the combinatorial
Hopf algebra of the $q$-stuffles product is developed systematically in a
parallel way with that of the shuffle product and and in emphasizing the Lie
elements as studied by Ree. In particular, we will give here an effective
construction of pair of bases in duality.


title:
Flows and a tangency condition for embeddable CR structures in dimension
  3

abstract:
  We study the fillability (or embeddability) of 3-dimensional $CR$ structures
under the geometric flows. Suppose we can solve a certain second order equation
for the geometric quantity associated to the flow. Then we prove that if the
initial $CR$ structure is fillable, then it keeps having the same property as
long as the flow has a solution. We discuss the situation for the torsion flow
and the Cartan flow. In the second part, we show that the above mentioned
second order operator is used to express a tangency condition for the space of
all fillable or embeddable $CR$ structures at one embedded in $\mathbb{C}^{2}.$


title: PetIGA: A Framework for High-Performance Isogeometric Analysis

abstract:
  We present PetIGA, a code framework to approximate the solution of partial
differential equations using isogeometric analysis. PetIGA can be used to
assemble matrices and vectors which come from a Galerkin weak form, discretized
with Non-Uniform Rational B-spline basis functions. We base our framework on
PETSc, a high-performance library for the scalable solution of partial
differential equations, which simplifies the development of large-scale
scientific codes, provides a rich environment for prototyping, and separates
parallelism from algorithm choice. We describe the implementation of PetIGA,
and exemplify its use by solving a model nonlinear problem. To illustrate the
robustness and flexibility of PetIGA, we solve some challenging nonlinear
partial differential equations that include problems in both solid and fluid
mechanics. We show strong scaling results on up to 4096 cores, which confirm
the suitability of PetIGA for large scale simulations.


title:
Experimental determination of the nuclear magnetic octupole moment of
  $^{137}$Ba$^+$ ion

abstract:
  We perform precision measurements on the 5D$_{5/2}$ manifold hyperfine
intervals of a single trapped ion, $^{137}$Ba$^+$. RF spectroscopy is used to
measure the hyperfine intervals to an accuracy of a few Hz. Our results provide
a three orders of magnitude improvement in accuracy over previous work and also
provide a 10-fold improvement in the value of $g_J$ for this level. These
results complement our previous work on the 5D$_{3/2}$ manifold of
$^{137}$Ba$^+$, providing an independent measurement of the nuclear octupole,
and a consistency check on atomic structure calculations.


title: Entanglement in the Grover's Search Algorithm

abstract:
  Quantum Algorithms have long captured the imagination of computer scientists
and physicists primarily because of the speed up achieved by them over their
classical counterparts using principles of quantum mechanics. Entanglement is
believed to be the primary phenomena behind this speed up. However their
precise role in quantum algorithms is yet unclear. In this article, we explore
the nature of entanglement in the Grover's search algorithm. This algorithm
enables searching of elements from an unstructured database quadratically
faster than the best known classical algorithm. Geometric measure of
entanglement has been used to quantify and analyse entanglement across
iterations of the algorithm. We reveal how the entanglement varies with
increase in the number of qubits and also with the number of marked or solution
states. Numerically, it is seen that the behaviour of the maximum value of
entanglement is monotonous with the number of qubits. Also, for a given value
of the number of qubits, a change in the marked states alters the amount of
entanglement. The amount of entanglement in the final state of the algorithm
has been shown to depend solely on the nature of the marked states. Explicit
analytical expressions are given showing the variation of entanglement with the
number of iterations and the global maximum value of entanglement attained
across all iterations of the algorithm.


title:
SHARE: A Web Service Based Framework for Distributed Querying and
  Reasoning on the Semantic Web

abstract:
  Here we describe the SHARE system, a web service based framework for
distributed querying and reasoning on the semantic web. The main innovations of
SHARE are: (1) the extension of a SPARQL query engine to perform on-demand data
retrieval from web services, and (2) the extension of an OWL reasoner to test
property restrictions by means of web service invocations. In addition to
enabling queries across distributed datasets, the system allows for a target
dataset that is significantly larger than is possible under current,
centralized approaches. Although the architecture is equally applicable to all
types of data, the SHARE system targets bioinformatics, due to the large number
of interoperable web services that are already available in this area. SHARE is
built entirely on semantic web standards, and is the successor of the BioMOBY
project.


title: Categorifications and cyclotomic rational double affine Hecke algebras

abstract:
  Varagnolo and Vasserot conjectured an equivalence between the category O for
CRDAHA's and a subcategory of an affine parabolic category O of type A. We
prove this conjecture. As applications, we prove a conjecture of Rouquier on
the dimension of simple modules of CRDAHA's and a conjecture of Chuang-Miyachi
on the Koszul duality for the category O of CRDAHA's.


title:
Angular distributions of the vector Ay and tensor Ayy, Axx, Axz
  analyzing powers in the dd->3Hp reaction at 200 MeV

abstract:
  A complete set of analyzing powers for the dd->3Hp reaction at the kinetic
beam energy of 200 MeV has been measured in the full angular range in the c.m.
frame. The observed signs of the tensor analyzing powers Ayy, Axx, and Axz at
forward and backward directions have clearly demonstrated the sensitivity to
the ratio of the D- and S-wave components of the triton and deuteron,
respectively. The new high-precision data are compared with the prediction of
the relativistic multiple-scattering model by using standard wave functions of
the three-nucleon bound state and of the deuteron.


title: Studying $\kappa$ meson with a MILC fine lattice

abstract:
  Using the lattice simulations in the Asqtad-improved staggered fermion
formulation we compute the point-to-point $\kappa$ correlators, which are
analyzed by the rooted staggered chiral perturbation theory (rS$\chi$PT). After
chiral extrapolation, we secure the physical $\kappa$ mass with $835\pm93$ MeV,
which is in agreement with the BES experimental results. The computations are
performed using a MILC 2+1 flavor fine gauge configuration at a lattice spacing
of $a \approx 0.09$ fm.


title:
Grid-free powder averages: on the applications of the Fokker-Planck
  equation to solid state NMR

abstract:
  We demonstrate that Fokker-Planck equations in which spatial coordinates are
treated on the same conceptual level as spin coordinates yield a convenient
formalism for treating magic angle spinning NMR experiments. In particular,
time dependence disappears from the background Hamiltonian (sample spinning is
treated as an interaction), spherical quadrature grids are avoided completely
(coordinate distributions are a part of the formalism) and relaxation theory
with any linear diffusion operator is easily adopted from the Stochastic
Liouville Equation theory. The proposed formalism contains Floquet theory as a
special case. The elimination of the spherical averaging grid comes at the cost
of increased matrix dimensions, but we show that this can be mitigated by the
use of state space restriction and tensor train techniques. It is also
demonstrated that low correlation order basis sets apparently give accurate
answers in powder-averaged MAS simulations, meaning that polynomially scaling
simulation algorithms do exist for a large class of solid state NMR
experiments.


title: Criteria of Spectral Gap for Markov Operators

abstract:
  Let $(E,\mathcal F,\mu)$ be a probability space, and let $P$ be a Markov
operator on $L^2(\mu)$ with $1$ a simple eigenvalue such that $\mu P=\mu$ (i.e.
$\mu$ is an invariant probability measure of $P$). Then $\hat P:=\ff 1 2
(P+P^*)$ has a spectral gap, i.e. $1$ is isolated in the spectrum of $\hat P$,
if and only if $$\|P\|_\tau:=\lim_{R\to\infty} \sup_{\mu(f^2)\le
1}\mu\big(f(Pf-R)^+\big)<1.$$ This strengthens a conjecture of Simon and
H$\phi$egh-Krohn on the spectral gap for hyperbounded operators solved recently
by L. Miclo in \cite{M}. Consequently, for a symmetric, conservative,
irreducible Dirichlet form on $L^2(\mu)$, a Poincar\'e/log-Sobolev type
inequality holds if and only if so does the corresponding defective inequality.
Extensions to sub-Markov operators and non-conservative Dirichlet forms are
also presented.


title: Fluctuating Black Hole Horizons

abstract:
  In this paper we treat the black hole horizon as a physical boundary to the
spacetime and study its dynamics following from the Gibbons-Hawking-York
boundary term. Using the Kerr black hole as an example we derive an effective
action that describes, in the large wave number limit, a massless Klein-Gordon
field living on the average location of the boundary. Complete solutions can be
found in the small rotation limit of the black hole. The formulation suggests
that the boundary can be treated in the same way as any other matter
contributions. In particular, the angular momentum of the boundary matches
exactly with that of the black hole, suggesting an interesting possibility that
all charges (including the entropy) of the black hole are carried by the
boundary. Using this as input, we derive predictions on the Planck scale
properties of the boundary.