title:
Discretization of Baker-Akhiezer Modules and Commuting Difference
  Operators in Several Discrete Variables

abstract:
  We introduce the notion of discrete Baker-Akhiezer (DBA) modules, which are
modules over the ring of difference operators, as a certain discretization of
Baker-Akhiezer modules which are modules over the ring of differential
operators. We use it to construct commuting difference operators with matrix
coefficients in several discrete variables.


title: Diffraction Production in a Soft Interaction Model: Mass Distributions

abstract:
  In the framework of our model (GLM) for soft interaction with
$\alpha'_{\pom}(0)=0$, we propose a procedure based on Gribov's partonic
interpretation of the Pomeron, which enables one to calculate the diffractive
mass distributions in hadron-hadron scattering. Using the analogy with
deep-inelastic scattering, we associate the Pomeron-quark interaction with the
Good-Walker sector of the hadron-hadron scattering, and the Pomeron-gluon
sector with the t-channel Pomeron interactions. We present predicted mass
distributions for the LHC energies


title: Unified-entropy trade-off relations for a single quantum channel

abstract:
  Many important properties of quantum channels are quantified by means of
entropic functionals. Characteristics of such a kind are closely related to
different representations of a quantum channel. In the Jamio{\l}kowski-Choi
representation, the given quantum channel is described by the so-called
dynamical matrix. Entropies of the rescaled dynamical matrix known as map
entropies describe a degree of introduced decoherence. Within the so-called
natural representation, the quantum channel is formally posed by another matrix
obtained as reshuffling of the dynamical matrix. The corresponding entropies
characterize an amount, with which the receiver a priori knows the channel
output. As was previously shown, the map and receiver entropies are mutually
complementary characteristics. Indeed, there exists a non-trivial lower bound
on their sum. First, we extend the concept of receiver entropy to the family of
unified entropies. Developing the previous results, we further derive
non-trivial lower bounds on the sum of the map and receiver $(q,s)$-entropies.
The derivation is essentially based on some inequalities with the Schatten
norms and anti-norms.


title:
Hitting times of Bessel processes, volume of Wiener sausages and zeros
  of Macdonald functions

abstract:
  We derive formulae for some ratios of the Macdonald functions, which are
simpler and easier to treat than known formulae. The result gives two
applications in probability theory. One is the formula for the L{\'e}vy measure
of the distribution of the first hitting time of a Bessel process and the other
is an explicit form for the expected volume of the Wiener sausage for an even
dimensional Brownian motion. Moreover, the result enables us to write down the
algebraic equations whose roots are the zeros of Macdonald functions.


title:
Semidefinite approximation for mixed binary quadratically constrained
  quadratic programs

abstract:
  Motivated by applications in wireless communications, this paper develops
semidefinite programming (SDP) relaxation techniques for some mixed binary
quadratically constrained quadratic programs (MBQCQP) and analyzes their
approximation performance. We consider both a minimization and a maximization
model of this problem. For the minimization model, the objective is to find a
minimum norm vector in $N$-dimensional real or complex Euclidean space, such
that $M$ concave quadratic constraints and a cardinality constraint are
satisfied with both binary and continuous variables. {\color{blue}By employing
a special randomized rounding procedure, we show that the ratio between the
norm of the optimal solution of the minimization model and its SDP relaxation
is upper bounded by $\cO(Q^2(M-Q+1)+M^2)$ in the real case and by
$\cO(M(M-Q+1))$ in the complex case.} For the maximization model, the goal is
to find a maximum norm vector subject to a set of quadratic constraints and a
cardinality constraint with both binary and continuous variables. We show that
in this case the approximation ratio is bounded from below by
$\cO(\epsilon/\ln(M))$ for both the real and the complex cases. Moreover, this
ratio is tight up to a constant factor.


title: On the existence of quantum signature for quantum messages

abstract:
  Quantum signature (QS) is used to authenticate the identity of the
originator, ensure data integrity and provide non-repudiation service with
unconditional security. Depending on whether a trusted third party named
arbitrator is involved or not, QS is classified as arbitrated QS and true QS.
This paper studies existence problem about the two kinds of QS and contributes
to two points: 1) a basic framework is provided to analyze the possibility of
arbitrated QS on signing quantum messages; 2) disagreement between the
impossibility of true QS and an existing true QS scheme is solved.


title: Retarded cosmological gravity and Mach's principle in flat FRW universes

abstract:
  The retarded gravitation produced by the matter and energy content of the
observable universe is formulated and shown how this cosmological gravity gives
rise to inertial forces in accelerated frames of reference. The model is
developed for spatially flat Friedman-Robertson-Walker (FRW) universes. The
retarded potential of cosmological gravity is determined first in fundamental
frames of reference, in Einstein-de Sitter (ES)and in LambdaCDM models. Despite
the expansion, the observable universe gives rise to a static, retarded
gravitational potential equal to c2 in ES universe, while gravity is weakening
during the expansion in LambdaCDM model.
  In the locally Minkowski spacetime occurring in a small domain of the
universe, a covariant Lagrangian of a test body moving in the cosmological
gravitational field is derived. Inertial forces are determined from a test
body's Euler-Lagrange equation, in Newtonian approximation. The model
calculation indicates, that the inertial forces meet exactly the ones observed
in ES universe and Mach's principle holds there. In the present-day standard,
LambdaCDM model inertial forces are weaker by 10 % than expected.


title: Equivariant K-theory of generalized Steinberg varieties

abstract:
  We describe the equivariant K-groups of a family of generalized Steinberg
varieties that interpolates between the Steinberg variety of a reductive,
complex algebraic group and its nilpotent cone in terms of the extended affine
Hecke algebra and double cosets in the extended affine Weyl group. As an
application, we use this description to define Kazhdan-Lusztig "bar"
involutions and Kazhdan-Lusztig bases for these equivariant K-groups.


title:
Simulations and experiments of short intense envelope solitons of
  surface water waves

abstract:
  The problem of existence of stable nonlinear groups of gravity waves in deep
water is revised by means of laboratory and numerical simulations with the
focus on intense waves. Wave groups with steepness up to $A_{cr} \omega_m^2 /g
\approx 0.30$ are reproduced in laboratory experiments ($A_{cr}$ is the wave
crest amplitude, $\omega_m$ is the mean angular frequency and $g$ is the
gravity acceleration). We show that the groups remain stable and exhibit
neither noticeable radiation nor structural transformation for more than 60
wave lengths or about 15-30 group lengths. These solitary wave patterns differ
from the conventional envelope solitons, as only a few individual waves are
contained in the group. Very good agreement is obtained between the laboratory
results and strongly nonlinear numerical simulations of the potential Euler
equations. The envelope soliton solution of the nonlinear Schr\"odinger
equation is shown to be a reasonable first approximation for specifying the
wavemaker driving signal. The short intense envelope solitons possess vertical
asymmetry similar to regular Stokes waves with the same frequency and crest
amplitude. Nonlinearity is found to have remarkably stronger effect on the
speed of envelope solitons in comparison to the nonlinear correction to the
Stokes wave velocity.


title:
Local deformed semicircle law and complete delocalization for Wigner
  matrices with random potential

abstract:
  We consider Hermitian random matrices of the form $H = W + \lambda V$, where
$W$ is a Wigner matrix and $V$ a diagonal random matrix independent of $W$. We
assume subexponential decay for the matrix entries of $W$ and we choose
$\lambda \sim 1$ so that the eigenvalues of $W$ and $\lambda V$ are of the same
order in the bulk of the spectrum. In this paper, we prove for a large class of
diagonal matrices $V$ that the local deformed semicircle law holds for $H$,
which is an analogous result to the local semicircle law for Wigner matrices.
We also prove complete delocalization of eigenvectors and other results about
the positions of eigenvalues.


title:
Matter power spectrum from a Lagrangian-space regularization of
  perturbation theory

abstract:
  We present a new approach to computing the matter density power spectrum,
from large linear scales to small highly nonlinear scales. Instead of
explicitly computing a partial series of high-order diagrams, as in
perturbative resummation schemes, we embed the standard perturbation theory
within a realistic nonlinear Lagrangian-space ansatz. We also point out that an
"adhesion-like" regularization of the shell-crossing regime is more realistic
than a "Zel'dovich-like" behavior, where particles freely escape to infinity.
This provides a "cosmic web" power spectrum with good small-scale properties
that provide a good matching with a halo model on mildly nonlinear scales. We
obtain a good agreement with numerical simulations on large scales, better than
3% for $k\leq 1 h$Mpc$^{-1}$, and on small scales, better than 10% for $k \leq
10 h$Mpc$^{-1}$, at $z \geq 0.35$, which improves over previous methods.


title:
Structure and Dielectric Properties of Amorphous High-kappa Oxides:
  HfO2, ZrO2 and their alloys

abstract:
  High-$\kappa$ metal oxides are a class of materials playing an increasingly
important role in modern device physics and technology. Here we report
theoretical investigations of the properties of structural and lattice
dielectric constants of bulk amorphous metal oxides by a combined approach of
classical molecular dynamics (MD) - for structure evolution, and quantum
mechanical first principles density function theory (DFT) - for electronic
structure analysis. Using classical MD based on the Born-Mayer-Buckingham
potential function within a melt and quench scheme, amorphous structures of
high-$\kappa$ metal oxides Hf$_{1-x}$Zr$_x$O$_2$ with different values of the
concentration $x$, are generated. The coordination numbers and the radial
distribution functions of the structures are in good agreement with the
corresponding experimental data. We then calculate the lattice dielectric
constants of the materials from quantum mechanical first principles, and the
values averaged over an ensemble of samples agree well with the available
experimental data, and are very close to the dielectric constants of their
cubic form.


title:
Mechanical Characterization of Brain Tissue in Compression at Dynamic
  Strain Rates

abstract:
  Traumatic brain injury (TBI) occurs when local mechanical load exceeds
certain tolerance levels for brain tissue. Extensive research has been done
previously for brain matter experiencing compression at quasistatic loading;
however, limited data is available to model TBI under dynamic impact
conditions. In this research, an experimental setup was developed to perform
unconfined compression tests and stress relaxation tests at strain rates <
90/s. The brain tissue showed a stiffer response with increasing strain rates,
showing that hyperelastic models are not adequate. Specifically, the
compressive nominal stress at 30% strain was 8.83 +/- 1.94, 12.8 +/- 3.10 and
16.0 +/- 1.41 kPa (mean +/- SD) at strain rates of 30, 60 and 90/s,
respectively. Relaxation tests were also conducted at 10%-50% strain with the
average rise time of 10 ms, which can be used to derive time dependent
parameters. Numerical simulations were performed using one-term Ogden model
with initial shear modulus mu_0 = 6.06 +/- 1.44, 9.44 +/- 2.427 and 12.64 +/-
1.227 kPa (mean +/- SD) at strain rates of 30, 60 and 90/s, respectively. A
separate set of bonded and lubricated tests were also performed under the same
test conditions to estimate the friction coefficient mu, by adopting combined
experimental - computational approach. The values of mu were 0.1 +/- 0.03 and
0.15 +/- 0.07 (mean +/- SD) at 30 and 90/s strain rates, respectively,
indicating that pure slip conditions cannot be achieved in unconfined
compression tests even under fully lubricated test conditions. The material
parameters obtained in this study will help to develop biofidelic human brain
finite element models, which can subsequently be used to predict brain injuries
under impact conditions.


title: A o(n) monotonicity tester for Boolean functions over the hypercube

abstract:
  A Boolean function $f:\{0,1\}^n \mapsto \{0,1\}$ is said to be $\eps$-far
from monotone if $f$ needs to be modified in at least $\eps$-fraction of the
points to make it monotone. We design a randomized tester that is given oracle
access to $f$ and an input parameter $\eps>0$, and has the following guarantee:
It outputs {\sf Yes} if the function is monotonically non-decreasing, and
outputs {\sf No} with probability $>2/3$, if the function is $\eps$-far from
monotone. This non-adaptive, one-sided tester makes
$O(n^{7/8}\eps^{-3/2}\ln(1/\eps))$ queries to the oracle.


title:
E_1-degeneration of the irregular Hodge filtration (with an appendix by
  Morihiko Saito)

abstract:
  For a regular function f on a smooth complex quasi-projective variety, J.-D.
Yu introduced in arXiv:1203.2338 a filtration (the irregular Hodge filtration)
on the de Rham complex with twisted differential d+df, extending a definition
of Deligne in the case of curves. In this article, we show the degeneration at
E_1 of the spectral sequence attached to the irregular Hodge filtration, by
using the method of arXiv:0804.4328. We also make explicit the relation with a
complex introduced by M. Kontsevich and give details on its proof of the
corresponding E_1 degeneration, by reduction to characteristic p, when the pole
divisor of the function is reduced with normal crossings. In Appendix E, M.
Saito gives a different proof of the latter statement with a possibly non
reduced normal crossing pole divisor.


title: Thermal Contact I : Symmetries ruled by Exchange Entropy Variations

abstract:
  Thermal contact is the archetype of non-equilibrium processes driven by
constant non-equilibrium constraints enforced by reservoirs exchanging
conserved microscopic quantities. In models with a finite number of possible
configurations, if the microscopic dynamics is assumed to be deterministic and
ergodic and to conserve energy according to some specific pattern, and if the
mesoscopic evolution of the global system is approximated by a Markov process
as closely as possible, then the mesoscopic transition rates obey three
constraints. In the limit where macroscopic bodies can be considered as
reservoirs at thermodynamic equilibrium (but with different intensive
parameters) the third constraint becomes modified detailed balance (MDB) ; the
latter is generically expressed in terms of the microscopic exchange entropy
variation. We investigate the generic statistical properties for measurable
quantities that arise from the MDB constraint. For a finite-time evolution
after the system prepared in an equilibrium state has been set in contact with
thermostats at different temperatures, we derive a detailed fluctuation
relation for the excess exchange entropy variation. In the non-equilibrium
stationary state (long-time limit), the proper mathematical definition of a
large deviation function is introduced together with alternative definitions,
and fluctuation relations are rederived. The generalization to systems
exchanging energy, volume and matter with several reservoirs, with a possible
conservative external force acting on the contact system, is given explicitly.
The infinite time limit of any odd cumulant per unit time of exchanged
quantities is expressed in terms of a series involving higher even cumulants
and powers of the thermodynamic forces associated to independent mean currents.


title: Proving Termination Starting from the End

abstract:
  We present a novel technique for proving program termination which introduces
a new dimension of modularity. Existing techniques use the program to
incrementally construct a termination proof. While the proof keeps changing,
the program remains the same. Our technique goes a step further. We show how to
use the current partial proof to partition the transition relation into those
behaviors known to be terminating from the current proof, and those whose
status (terminating or not) is not known yet. This partition enables a new and
unexplored dimension of incremental reasoning on the program side. In addition,
we show that our approach naturally applies to conditional termination which
searches for a precondition ensuring termination. We further report on a
prototype implementation that advances the state-of-the-art on the grounds of
termination and conditional termination.


title: Thermal Contact. II. A Solvable Toy Model

abstract:
  A diathermal wall between two heat baths at different temperatures can be
mimicked by a layer of independent spin pairs with some internal energy and
where each spin $\sigma_a$ is flipped by thermostat $a$ ($a=1,2$). The
transition rates are determined from the modified detailed balance discussed in
Ref.[1]. Generalized heat capacities, excess heats, the housekeeping entropy
flow and the thermal conductivity in the steady state are calculated. The joint
probability distribution of the heat cumulated exchanges at any time is
computed explicitly. We obtain the large deviation function of heat transfer
via a variety of approaches. In particular, by a saddle-point method performed
accurately, we obtain the explicit expressions not only of the large deviation
function, but also of the amplitude prefactor, in the long-time probability
density for the heat current. The following physical properties are discussed :
the effects of typical time scales of the mesoscopic dynamics which do not
appear in equilibrium statistical averages and the limit of strict energy
dissipation towards a thermostat when its temperature goes to zero. We also
derive some properties of the fluctuations in the two-spin system viewed as a
thermal machine performing cycles.


title:
Electrochemical Deposition of ZnO Hierarchical Nanostructures from
  Hydrogel Coated Electrodes

abstract:
  The electrochemical deposition of ZnO hierarchical nanostructures directly
from PHEMA hydrogel coated electrodes has been successfully demonstrated. A
variety of hierarchical ZnO nanostructures, including porous nanoflakes,
nanosheets and nanopillar arrays were fabricated directly from the PHEMA
hydrogel coated electrodes. Hybrid ZnO-hydrogel composite films were formed
with low zinc concentration and short electrodeposition time. A dual-layer
structure consisting of a ZnO/polymer and pure ZnO layer was obtained with zinc
concentration above 0.01 M. SEM observations and XPS depth profiling were used
to investigate ZnO nanostructure formation in the early electrodeposition
process. A growth mechanism to understand the formation of ZnO/hydrogel hybrid
hierarchical nanostructures was developed. The I-V characteristics of the
ZnO-hydrogel composite films in dark and under ultraviolet (UV) illumination
demonstrate potential applications in UV photodetection.

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


title:
Optical observations of NEA 162173 (1999 JU3) during the 2011-2012
  apparition

abstract:
  Near-Earth asteroid 162173 (1999 JU3) is a potential target of two asteroid
sample return missions, not only because of its accessibility but also because
of the first C-type asteroid for exploration missions. The lightcurve-related
physical properties of this object were investigated during the 2011-2012
apparition. We aim to confirm the physical parameters useful for JAXA's
Hayabusa 2 mission, such as rotational period, absolute magnitude, and phase
function. Our data complement previous studies that did not cover low phase
angles. With optical imagers and 1-2 m class telescopes, we acquired the
photometric data at different phase angles. We independently derived the
rotational lightcurve and the phase curve of the asteroid. We have analyzed the
lightcurve of 162173 (1999 JU3), and derived a synodic rotational period of
7.625 +/- 0.003 h, the axis ratio a/b = 1.12. The absolute magnitude H_R =
18.69 +/- 0.07 mag and the phase slope of G = -0.09 +/- 0.03 were also obtained
based on the observations made during the 2011-2012 apparition.


title: Late-time expansion in the semiclassical theory of Hawking radiation

abstract:
  We give a detailed treatment of the back-reaction effects on the Hawking
spectrum in the semiclassical approach to the Hawking radiation. We solve the
exact system of non linear equations giving the action of the system, by a
rigorously convergent iterative procedure. The first two terms of such an
expansion give the O(omega/M) correction to the Hawking spectrum.


title: Distributed Random Walks

abstract:
  Performing random walks in networks is a fundamental primitive that has found
applications in many areas of computer science, including distributed
computing. In this paper, we focus on the problem of sampling random walks
efficiently in a distributed network and its applications. Given bandwidth
constraints, the goal is to minimize the number of rounds required to obtain
random walk samples.
  All previous algorithms that compute a random walk sample of length $\ell$ as
a subroutine always do so naively, i.e., in $O(\ell)$ rounds. The main
contribution of this paper is a fast distributed algorithm for performing
random walks. We present a sublinear time distributed algorithm for performing
random walks whose time complexity is sublinear in the length of the walk. Our
algorithm performs a random walk of length $\ell$ in $\tilde{O}(\sqrt{\ell D})$
rounds ($\tilde{O}$ hides $\polylog{n}$ factors where $n$ is the number of
nodes in the network) with high probability on an undirected network, where $D$
is the diameter of the network. For small diameter graphs, this is a
significant improvement over the naive $O(\ell)$ bound. Furthermore, our
algorithm is optimal within a poly-logarithmic factor as there exists a
matching lower bound [Nanongkai et al. PODC 2011]. We further extend our
algorithms to efficiently perform $k$ independent random walks in
$\tilde{O}(\sqrt{k\ell D} + k)$ rounds. We also show that our algorithm can be
applied to speedup the more general Metropolis-Hastings sampling.
  Our random walk algorithms can be used to speed up distributed algorithms in
applications that use random walks as a subroutine, such as computing a random
spanning tree and estimating mixing time and related parameters. Our algorithm
is fully decentralized and can serve as a building block in the design of
topologically-aware networks.


title: Preference-Based Unawareness

abstract:
  Morris (1996, 1997) introduced preference-based definitions of knowledge and
belief in standard state-space structures. This paper extends this
preference-based approach to unawareness structures (Heifetz, Meier, and
Schipper, 2006, 2008). By defining unawareness and knowledge in terms of
preferences over acts in unawareness structures and showing their equivalence
to the epistemic notions of unawareness and knowledge, we try to build a bridge
between decision theory and epistemic logic. Unawareness of an event is
characterized behaviorally as the event being null and its negation being null.


title:
Random-walk domination in large graphs: problem definitions and fast
  solutions

abstract:
  We introduce and formulate two types of random-walk domination problems in
graphs motivated by a number of applications in practice (e.g., item-placement
problem in online social network, Ads-placement problem in advertisement
networks, and resource-placement problem in P2P networks). Specifically, given
a graph $G$, the goal of the first type of random-walk domination problem is to
target $k$ nodes such that the total hitting time of an $L$-length random walk
starting from the remaining nodes to the targeted nodes is minimal. The second
type of random-walk domination problem is to find $k$ nodes to maximize the
expected number of nodes that hit any one targeted node through an $L$-length
random walk. We prove that these problems are two special instances of the
submodular set function maximization with cardinality constraint problem. To
solve them effectively, we propose a dynamic-programming (DP) based greedy
algorithm which is with near-optimal performance guarantee. The DP-based greedy
algorithm, however, is not very efficient due to the expensive marginal gain
evaluation. To further speed up the algorithm, we propose an approximate greedy
algorithm with linear time complexity w.r.t.\ the graph size and also with
near-optimal performance guarantee. The approximate greedy algorithm is based
on a carefully designed random-walk sampling and sample-materialization
techniques. Extensive experiments demonstrate the effectiveness, efficiency and
scalability of the proposed algorithms.


title: Spin effects in electron vortex states

abstract:
  The recent experimental realization of electron vortex beams opens up a wide
research domain previously unexplored. The present paper explores the
relativistic properties of these electron vortex beams, and quantifies
deviations from scalar wave theory. It is common in electron optics to use the
Schr\"odinger equation neglecting spin. The present paper investigates the role
of spin and the total angular momentum Jz and how it pertains to the vortex
states. As an application, we also investigate if it is possible to use
holographic reconstruction to create novel total angular momentum eigenstates
in a Transmission Electron Microscope. It is demonstrated that relativistic
spin coupling effects disappear in the paraxial limit, and spin effects in
holographically created electron vortex beams can only be exploited by using
specialized magnetic apertures.


title:
Thermoluminescence fading studies: Implications for long-duration space
  measurements in Low Earth Orbit

abstract:
  Within a 1.5 year comprehensive fading experiment several batches of
LiF:Mg,Ti and LiF:Mg,Cu,P thermoluminescence detectors (TLDs) were studied. The
TLDs originated from two manufacturers and were processed by three laboratories
using different annealing and readout conditions. The TLDs were irradiated with
two radiation modalities (gamma-rays and thermal neutrons) and were stored at
two temperatures (-17.4C and +18.5C). The goal of the experiment was to verify
the stability of TLDs in the context of their application in long-term
measurements in space. The results revealed that the response of all TLDs is
stable within 10% for the studied temperature range. No influence of the
radiation type was found. These results indicate that for the properly
oven-annealed LiF TLDs, fading is not a significant problem, even for measuring
periods longer than a year.


title: Breaking the Small Cluster Barrier of Graph Clustering

abstract:
  This paper investigates graph clustering in the planted cluster model in the
presence of {\em small clusters}. Traditional results dictate that for an
algorithm to provably correctly recover the clusters, {\em all} clusters must
be sufficiently large (in particular, $\tilde{\Omega}(\sqrt{n})$ where $n$ is
the number of nodes of the graph). We show that this is not really a
restriction: by a more refined analysis of the trace-norm based recovery
approach proposed in Jalali et al. (2011) and Chen et al. (2012), we prove that
small clusters, under certain mild assumptions, do not hinder recovery of large
ones.
  Based on this result, we further devise an iterative algorithm to recover
{\em almost all clusters} via a "peeling strategy", i.e., recover large
clusters first, leading to a reduced problem, and repeat this procedure. These
results are extended to the {\em partial observation} setting, in which only a
(chosen) part of the graph is observed.The peeling strategy gives rise to an
active learning algorithm, in which edges adjacent to smaller clusters are
queried more often as large clusters are learned (and removed).
  From a high level, this paper sheds novel insights on high-dimensional
statistics and learning structured data, by presenting a structured matrix
learning problem for which a one shot convex relaxation approach necessarily
fails, but a carefully constructed sequence of convex relaxationsdoes the job.


title: Hausdorff gaps and towers in P(\omega)/Fin

abstract:
  We define and study two classes of uncountable $\subseteq^*$-chains:
Hausdorff towers and Suslin towers. We discuss their existence in various
models of set theory. Then, some of the results and methods are used to provide
examples of indestructible gaps not equivalent to a Hausdorff gap. Also, we
indicate possible ways of developing a structure theory for towers.


title:
Linking high and low temperature plasticity in bulk metallic glasses:
  thermal activation, extreme value statistics and kinetic freezing

abstract:
  At temperatures well below their glass transition, the deformation properties
of bulk metallic glasses are characterised by a sharp transition from
elasticity to plasticity, a reproducible yield stress, and an approximately
linear decrease of this stress with increasing temperature. In the present work
it shown that when the well known properties of the under-cooled liquid regime,
in terms of the underlying potential energy landscape, are assumed to be also
valid at low temperature, a simple thermal activation model is able to
reproduce the observed onset of macro-scopic yield. At these temperatures, the
thermal accessibility of the complex potential energy landscape is drastically
reduced, and the statistics of extreme value and the phenomenon of kinetic
freezing become important, affecting the spatial heterogeneity of the
irreversible structural transitions mediating the elastic-to-plastic
transition. As the temperature increases and approaches the glass transition
temperature, the theory is able to smoothly transit to the high temperature
deformation regime where plasticity is known to be well described by thermally
activated viscoplastic models.


title:
Two-step spline estimating equations for generalized additive partially
  linear models with large cluster sizes

abstract:
  We propose a two-step estimating procedure for generalized additive partially
linear models with clustered data using estimating equations. Our proposed
method applies to the case that the number of observations per cluster is
allowed to increase with the number of independent subjects. We establish
oracle properties for the two-step estimator of each function component such
that it performs as well as the univariate function estimator by assuming that
the parametric vector and all other function components are known. Asymptotic
distributions and consistency properties of the estimators are obtained.
Finite-sample experiments with both simulated continuous and binary response
variables confirm the asymptotic results. We illustrate the methods with an
application to a U.S. unemployment data set.


title: Holographic Modelling of a Light Techni-Dilaton

abstract:
  We present a simplified holographic model of chiral symmetry breaking in
gauge theory. The chiral condensate is represented by a single scalar field in
AdS, with the gauge dynamics input through radial dependence of its mass,
representing the running of the anomalous dimension of the qbar q operator. We
discuss simple examples of the chiral transition out of the conformal window
when the infrared value of the anomalous dimension, \gamma_m, is tuned to one
(equivalently the AdS-scalar mass squared is tuned to the
Breitenlohner-Freedman bound of -4). The output of the model are the masses of
the $\bar{q} q$ scalar meson bound states. We show in an explicit example that
if the gradient of the running of the anomalous dimension falls to zero at the
scale where the BF bound violation occurs, so that the theory becomes near
conformal, then the theory possesses a techni-dilaton state that is
parametrically lighter than the dynamically generated quark mass. Indeed the
full spectrum of excited meson states also become light (relative to the
techni-quark mass) as they approach a conformal spectrum.


title:
A classification of quadratic and odd quadratic Lie superalgebras in low
  dimensions

abstract:
  In this paper, we give an expansion of two notions of double extension and
$T^*$-extension for quadratic and odd quadratic Lie superalgebras. Also, we
provide a classification of quadratic and odd quadratic Lie superalgebras up to
dimension 6. This classification is considered up to isometric isomorphism,
mainly in the solvable case and the obtained Lie superalgebras are
indecomposable.


title: Large acoustoelastic effect

abstract:
  Classical acoustoelasticity couples small-amplitude elastic wave propagation
to an infinitesimal pre-deformation, in order to reveal and evaluate
non-destructively third-order elasticity constants. Here, we see that
acoustoelasticity can be also be used to determine fourth-order constants,
simply by coupling a small-amplitude wave with a small-but-finite
pre-deformation. We present results for compressible weakly nonlinear
elasticity, we make a link with the historical results of Bridgman on the
physics of high pressures, and we show how to determine "D", the so-called
fourth-order elasticity constant of soft (incompressible, isotropic) solids by
using infinitesimal waves.


title: On stress-dependent elastic moduli and wave speeds

abstract:
  On the basis of the general nonlinear theory of a hyperelastic material with
initial stress, initially without consideration of the origin of the initial
stress, we determine explicit expressions for the stress-dependent tensor of
incremental elastic moduli. In considering three special cases of initial
stress within the general framework, namely hydrostatic stress, uniaxial stress
and planar shear stress, we then elucidate in general form the dependence of
various elastic moduli on the initial stress. In each case the effect of
initial stress on the wave speed of homogeneous plane waves is studied and it
is shown how various special theories from the earlier literature fit within
the general framework. We then consider the situation in which the initial
stress is a pre-stress associated with a finite deformation and, in particular,
we discuss the specialization to the second-order theory of elasticity and
highlight connections between several classical approaches to the topic, again
with special reference to the influence of higher-order terms on the speed of
homogeneous plane waves. Some discrepancies arising in the earlier literature
are noted.


title:
Extracting Three Dimensional Surface Model of Human Kidney from the
  Visible Human Data Set using Free Software

abstract:
  Three dimensional digital model of a representative human kidney is needed
for a surgical simulator that is capable of simulating a laparoscopic surgery
involving kidney. Buying a three dimensional computer model of a representative
human kidney, or reconstructing a human kidney from an image sequence using
commercial software, both involve (sometimes significant amount of) money. In
this paper, author has shown that one can obtain a three dimensional surface
model of human kidney by making use of images from the Visible Human Data Set
and a few free software packages (ImageJ, ITK-SNAP, and MeshLab in particular).
Images from the Visible Human Data Set, and the software packages used here,
both do not cost anything. Hence, the practice of extracting the geometry of a
representative human kidney for free, as illustrated in the present work, could
be a free alternative to the use of expensive commercial software or to the
purchase of a digital model.


title: Checkpointing strategies with prediction windows

abstract:
  This paper deals with the impact of fault prediction techniques on
checkpointing strategies. We suppose that the fault-prediction system provides
prediction windows instead of exact predictions, which dramatically complicates
the analysis of the checkpointing strategies. We propose a new approach based
upon two periodic modes, a regular mode outside prediction windows, and a
proactive mode inside prediction windows, whenever the size of these windows is
large enough. We are able to compute the best period for any size of the
prediction windows, thereby deriving the scheduling strategy that minimizes
platform waste. In addition, the results of this analytical evaluation are
nicely corroborated by a comprehensive set of simulations, which demonstrate
the validity of the model and the accuracy of the approach.


title:
Frequency dependence of signal power and spatial reach of the local
  field potential

abstract:
  The first recording of electrical potential from brain activity was reported
already in 1875, but still the interpretation of the signal is debated. To take
full advantage of the new generation of microelectrodes with hundreds or even
thousands of electrode contacts, an accurate quantitative link between what is
measured and the underlying neural circuit activity is needed. Here we address
the question of how the observed frequency dependence of recorded local field
potentials (LFPs) should be interpreted. By use of a well-established
biophysical modeling scheme, combined with detailed reconstructed neuronal
morphologies, we find that correlations in the synaptic inputs onto a
population of pyramidal cells may significantly boost the low-frequency
components of the generated LFP. We further find that these low-frequency
components may be less `local' than the high-frequency LFP components in the
sense that (1) the size of signal-generation region of the LFP recorded at an
electrode is larger and (2) that the LFP generated by a synaptically activated
population spreads further outside the population edge due to volume
conduction.


title: Topological phases in two-dimensional arrays of parafermionic zero modes

abstract:
  It has recently been realized that zero modes with projective non-Abelian
statistics, generalizing the notion of Majorana bound states, may exist at the
interface between a superconductor and a ferromagnet along the edge of a
fractional topological insulator (FTI). Here we study two-dimensional
architectures of these non-Abelian zero modes, whose interactions are generated
by the charging and Josephson energies of the superconductors. We derive
low-energy Hamiltonians for two different arrays of FTIs on the plane,
revealing an interesting interplay between the real-space geometry of the
system and its topological properties. On the one hand, in a geometry where the
length of the FTI edges is independent on the system size, the array has a
topologically ordered phase, giving rise to a qudit toric code Hamiltonian in
perturbation theory. On the other hand, in a geometry where the length of the
edges scales with system size, we find an exact duality to an Abelian lattice
gauge theory and no topological order.


title:
Optimal two-stage procedures for estimating location and size of the
  maximum of a multivariate regression function

abstract:
  We propose a two-stage procedure for estimating the location $\bolds{\mu}$
and size M of the maximum of a smooth d-variate regression function f. In the
first stage, a preliminary estimator of $\bolds{\mu}$ obtained from a standard
nonparametric smoothing method is used. At the second stage, we "zoom-in" near
the vicinity of the preliminary estimator and make further observations at some
design points in that vicinity. We fit an appropriate polynomial regression
model to estimate the location and size of the maximum. We establish that,
under suitable smoothness conditions and appropriate choice of the zooming, the
second stage estimators have better convergence rates than the corresponding
first stage estimators of $\bolds{\mu}$ and M. More specifically, for
$\alpha$-smooth regression functions, the optimal nonparametric rates
$n^{-(\alpha-1)/(2\alpha+d)}$ and $n^{-\alpha/(2\alpha+d)}$ at the first stage
can be improved to $n^{-(\alpha-1)/(2\alpha)}$ and $n^{-1/2}$, respectively,
for $\alpha>1+\sqrt{1+d/2}$. These rates are optimal in the class of all
possible sequential estimators. Interestingly, the two-stage procedure resolves
"the curse of the dimensionality" problem to some extent, as the dimension d
does not control the second stage convergence rates, provided that the function
class is sufficiently smooth. We consider a multi-stage generalization of our
procedure that attains the optimal rate for any smoothness level $\alpha>2$
starting with a preliminary estimator with any power-law rate at the first
stage.


title: Rigged Configurations and Kashiwara Operators

abstract:
  For types $A^{(1)}_n$ and $D^{(1)}_n$ we prove that the rigged configuration
bijection intertwines the classical Kashiwara operators on tensor products of
the arbitrary Kirillov-Reshetikhin crystals and the set of the rigged
configurations.


title:
Structure and dynamics in yttrium-based molten rare earth alkali
  fluorides

abstract:
  The transport properties of molten LiF-YF3 mixtures have been studied by
pulsed field gradient nuclear magnetic resonance spectroscopy, potentiometric
experiments, and molecular dynamics simulations. The calculated diffusion
coefficients and electric conductivities compare very well with the
measurements accross a wide composition range. We then extract static (radial
distribution functions, coordination numbers distributions) and dynamic (cage
correlation functions) quantities from the simulations. Then, we discuss the
interplay between the microscopic structure of the molten salts and their
dynamic properties. It is often considered that variations in the diffusion
coefficient of the anions are mainly driven by the evolution of its
coordination with the metallic ion (Y3+ here). We compare this system with
fluorozirconate melts and demonstrate that the coordination number is a poor
indicator of the evolution of the diffusion coefficient. Instead, we propose to
use the ionic bonds lifetime. We show that the weak Y-F ionic bonds in LiF-YF3
do not induce the expected tendency of the fluoride diffusion coefficient to
converge toward the one of yttrium cation when the content in YF3 increases.
Implications on the validity of the Nernst-Einstein relation for estimating the
electrical conductivity are discussed.


title: Rectification of self-propelled particles by symmetric barriers

abstract:
  The motion of self-propelled particles can be rectified by asymmetric or
ratchet-like periodic patterns in space. Here we show that a non-zero average
drift can already be induced in a periodic potential with symmetric barriers
when the self-propulsion velocity is also symmetric and periodically modulated
but phase-shifted against the potential. In the adiabatic limit of slow
rotational diffusion we determine the mean drift analytically and discuss the
influence of temperature. In the presence of asymmetric barriers modulating the
self-propulsion can largely enhance the mean drift or even reverse it.


title:
Measurement of the branching fractions and mass spectra for $\tau$
  lepton decays including $K_{S}^{0}$ at Belle

abstract:
  We report a study of $\tau$ lepton decays involving $\Ks$ with a 669
fb$^{-1}$ data sample accumulated with the Belle detector at the KEKB
asymmetric-energy $e^{+}e^{-}$ collider. The branching fractions have been
measured for the $\tauTO \piKs \nu_{\tau}$, $\KKs \nu_{\tau}$, $\piKspizero
\nu_{\tau}$, $\KKspizero \nu_{\tau}$, $\piKsKs \nu_{\tau}$ and $\piKsKspizero
\nu_{\tau}$ decays. We also provide the unfolded mass spectra for $\tauTO
\piKspizero \nu_{\tau}$ and $\tauTO \KKspizero \nu_{\tau}$.


title:
The habitable zone of Earth-like planets with different levels of
  atmospheric pressure

abstract:
  As a contribution to the study of the habitability of extrasolar planets, we
implemented a 1-D Energy Balance Model (EBM), the simplest seasonal model of
planetary climate, with new prescriptions for most physical quantities. Here we
apply our EBM to investigate the surface habitability of planets with an
Earth-like atmospheric composition but different levels of surface pressure.
The habitability, defined as the mean fraction of the planet's surface on which
liquid water could exist, is estimated from the pressure-dependent liquid water
temperature range, taking into account seasonal and latitudinal variations of
surface temperature. By running several thousands of EBM simulations we
generated a map of the habitable zone (HZ) in the plane of the orbital
semi-major axis, a, and surface pressure, p, for planets in circular orbits
around a Sun-like star. As pressure increases, the HZ becomes broader, with an
increase of 0.25 AU in its radial extent from p=1/3 bar to p=3 bar. At low
pressure, the habitability is low and varies with a; at high pressure, the
habitability is high and relatively constant inside the HZ. We interpret these
results in terms of the pressure dependence of the greenhouse effect, the
effciency of horizontal heat transport, and the extent of the liquid water
temperature range. Within the limits discussed in the paper, the results can be
extended to planets in eccentric orbits around non-solar type stars. The main
characteristics of the pressure-dependent HZ are modestly affected by
variations of planetary properties, particularly at high pressure.


title:
Extensions de repr\'esentations de de Rham et vecteurs localement
  alg\'ebriques

abstract:
  Let $\Pi$ be an irreducible unitary completion of a locally algebraic ${\rm
GL}_2(\qp)$-representation. We describe those first-order deformations of $\Pi$
which are themselves completions of a locally algebraic representation. This
answers a question of Paskunas and has direct applications to the
Breuil-M\'ezard conjecture.


title: Soft Games

abstract:
  In this work, after given the definition of soft sets and their basic
operations we define two person soft games which can apply to problems contain
vagueness and uncertainty. We then give four solution methods of the games
which are soft saddle points, soft lover and soft upper values, soft dominated
strategies and soft Nash equilibrium. We also give an example from the real
world which shows that the methods can be successfully applied to a financial
problem. Finally, we extended the two person soft games to n-person soft games.


title: Momentum computed tomography of charged particles

abstract:
  The principle of the momentum computed tomography of charged particles is
presented. It may be useful for momentum spectroscopy of various beam-matter
interactions, especially when very intense beams are involved. It is able to
collect the shower of charged particles with the 4Pi solid angle, and suitable
for measuring the overall perspective of the arbitrary momentum distribution of
the outgoing charged particles induced by arbitrary beams, especially when the
other techniques are invalid. The extended collisional region, the strong field
approximation and the case without magnetic field are discussed.


title: Classification of complete projective special real surfaces

abstract:
  We determine all complete projective special real surfaces. By the
supergravity r-map, they give rise to complete projective special K\"ahler
manifolds of dimension 6, which are distinguished by the image of their scalar
curvature function. By the supergravity c-map, the latter manifolds define in
turn complete quaternionic K\"ahler manifolds of dimension 16.


title:
Hermitian versus non-Hermitian representations for minimal length
  uncertainty relations

abstract:
  We investigate four different types of representations of deformed canonical
variables leading to generalized versions of Heisenberg's uncertainty relations
resulting from noncommutative spacetime structures. We demonstrate explicitly
how the representations are related to each other and study three
characteristically different solvable models on these spaces, the harmonic
oscillator, the manifestly non-Hermitian Swanson model and an intrinsically
noncommutative model with Poeschl-Teller type potential. We provide an
analytical expression for the metric in terms of quantities specific to the
generic solution procedure and show that when it is appropriately implemented
expectation values are independent of the particular representation. A recently
proposed inequivalent representation resulting from Jordan twists is shown to
lead to unphysical models. We suggest an anti-PT-symmetric modification to
overcome this shortcoming.


title: Searchability of central nodes in networks

abstract:
  Social networks are discrete systems with a large amount of heterogeneity
among nodes (individuals). Measures of centrality aim at a quantification of
nodes' importance for structure and function. Here we ask to which extent the
most central nodes can be found by purely local search. We find that many
networks have close-to-optimal searchability under eigenvector centrality,
outperforming searches for degree and betweenness. Searchability of the
strongest spreaders in epidemic dynamics tends to be substantially larger for
supercritical than for subcritical spreading.


title: Equivariant Crossed Modules and Cohomology of Groups with Operators

abstract:
  In this paper we study equivariant crossed modules in its link with strict
graded categorical groups. The resulting Schreier theory for equivariant group
extensions of the type of an equivariant crossed module generalizes both the
theory of group extensions of the type of a crossed module and the one of
equivariant group extensions.


title:
Structural and evolutionary tunnels of pairwise residue-interaction
  symmetries connect different structural classes of proteins

abstract:
  Studying all non-redundant proteins in 76 most-commonly found structural
domains, the present work attempts to decipher latent patterns that
characterize acceptable and unacceptable symmetries in residue-residue
interactions in functional proteins. We report that cutting across the
structural classes, a select set of pairwise interactions are universally
favored by geometrical and evolutionary constraints, termed 'acceptable'
structural and evolutionary tunnels, respectively. An equally small subset of
residue-residue interactions, the 'unacceptable' structural and evolutionary
tunnels, is found to be universally disliked by structural and evolutionary
constraints. Non-trivial overlapping is detected among acceptable structural
and evolutionary tunnels, as also among unacceptable structural and
evolutionary tunnels. A subset of tunnels is found to have equal relative
importance, structurally and evolutionarily, in different structural classes.
The MET-MET tunnel is detected to be universally most unacceptable by both
structural and evolutionary constraints, whereas the ASP-LEU tunnel was found
to be the closest approximation to be universally most acceptable. Residual
populations in structural and evolutionary tunnels are found to be independent
of stereochemical properties of individual residues. It is argued with examples
that tunnels are emergent features that connect extent of symmetry in
residue-residue interactions to the level of quaternary structural
organization.


title:
Melting Scenario for Coulomb-interacting Classical Particles in
  Two-dimensional Irregular Confinements

abstract:
  The "melting" of self-formed rigid structures made of a small number of
interacting classical particles confined in an irregular two-dimensional space
is investigated using Monte Carlo simulations. It is shown that the interplay
of long-range Coulomb repulsions between these particles and the irregular
confinement yields a solid-like phase at low temperatures that possesses a
bond-orientational order, however, the positional order is depleted even at the
lowest temperatures. Upon including thermal fluctuations, this solid-like phase
smoothly crosses over to a liquid-like phase by destroying the
bond-orientational order. The collapse of solidity is shown to be defect
mediated, and aided by the proliferation of free disclinations. The behavior of
different physical observables across the crossover region are obtained. Our
results will help quantifying melting found in experiments on systems with
confined geometries.


title: Defect-induced supersolidity with soft-core bosons

abstract:
  More than 40 years ago, Andreev, Lifshitz, and Chester suggested the possible
existence of a peculiar solid phase of matter, the microscopic constituents of
which can flow superfluidly without resistance due to the formation of
zero-point defects in the ground state of self-assembled crystals. Yet, a
physical system where this mechanism is unambiguously established remains to be
found, both experimentally and theoretically. Here we investigate the
zero-temperature phase diagram of two-dimensional bosons with finite-range
soft-core interactions. For low particle densities, the system is show to
feature a solid phase in which zero-point vacancies emerge spontaneously and
give rice to superfluid flow of particles through the crystal. This provides
the first example of defects-induced, continuous-space supersolidity consistent
with the Andreev-Lifshitz-Chester scenario.


title: The scalar spectrum of many-flavour QCD

abstract:
  The LatKMI collaboration is studying systematically the dynamical properties
of N_f = 4,8,12,16 SU(3) gauge theories using lattice simulations with (HISQ)
staggered fermions. Exploring the spectrum of many-flavour QCD, and its scaling
near the chiral limit, is mandatory in order to establish if one of these
models realises the Walking Technicolor scenario. Although lattice technologies
to study the mesonic spectrum are well developed, scalar flavour-singlet states
still require extra effort to be determined. In addition, gluonic observables
usually require large-statistic simulations and powerful noise-reduction
techniques. In the following, we present useful spectroscopic methods to
investigate scalar glueballs and scalar flavour-singlet mesons, together with
the current status of the scalar spectrum in N_f = 12 QCD from the LatKMI
collaboration.


title:
Finite element analysis of surface-stress effects in the Si
  lattice-parameter measurement

abstract:
  A stress exists in solids surfaces, similarly to liquids, also if the
underlying bulk material is stress-free. This paper investigates the surface
stress effect on the measured value of the Si lattice parameter used to
determine the Avogadro constant by counting Si atoms. An elastic-film model has
been used to provide a surface load in a finite element analysis of the lattice
strain of the x-ray interferometer crystal used to measure the lattice
parameter. Eventually, an experiment is proposed to work a lattice parameter
measurement out so that there is a visible effect of the surface stress.


title:
Fabrication of superconducting tantalum nitride thin films using
  infra-red pulsed laser deposition

abstract:
  We report the successful fabrication of superconducting tantalum nitride
(TaN) thin films using a pulsed laser deposition technique with 1064 nm
radiation. Films with thickness $ \sim $ 100 nm deposited on MgO (100) single
crystals and on oxidized silicon (SiO$_{2} $) substrates exhibited a
superconducting transition temperature of $\sim $ 8 K and 6 K, respectively.
The topography of these films were investigated using atomic force and scanning
electron microscopy, revealing fairly large area particulate free and smooth
surfaces, while the structure of the films were investigated using standard $
\theta -2 \theta $ and glancing angle X-ray diffraction techniques. For films
grown on MgO a face-centered cubic phase of TaN was observed, while films grown
on SiO$_{2} $ exhibited the face-centered cubic and as well as a mononitride
hexagonal phase. The transition temperature of the TaN deposited on SiO$_{2} $
was found to be more sensitive to the nitrogen pressure during deposition as
compared to the TaN deposited on MgO.


title:
Gauss collocation methods for efficient structure preserving integration
  of post-Newtonian equations of motion

abstract:
  In this work, we present the hitherto most efficient and accurate method for
the numerical integration of post-Newtonian equations of motion. We first
transform the Poisson system as given by the post-Newtonian approximation to
canonically symplectic form. Then we apply Gauss Runge-Kutta schemes to
numerically integrate the resulting equations. This yields a convenient method
for the structure preserving long-time integration of post-Newtonian equations
of motion. In extensive numerical experiments, this approach turns out to be
faster and more accurate i) than previously proposed structure preserving
splitting schemes and ii) than standard explicit Runge-Kutta methods.


title:
Exploring the breakup and transfer coupling effects in 9Be elastic
  scattering

abstract:
  Two cluster structures of 9Be namely, 5He+4He and 8Be+n have been considered
for its breakup to describe the available data on elastic scattering for 9Be
projectile with 28Si, 64Zn and 144Sm targets. The results of these calculations
suggest that the breakup coupling effects are significant for 5He+4He cluster
model at above the barrier energies, while they are dominant at relatively
lower energies for 8Be+n model. The addition of one neutron stripping channel
in the 8Be+n model gives an overall good description of the elastic data for
all the systems considered. The couplings generated by breakup in 8Be+n model
have different behaviour than the coupling effects obtained within the 5He+4He
model, the former being more prominent at lower energies and for the heavier
target systems. The behaviour of extracted dynamic polarisation potentials
(DPP) generated due to breakup and one neutron transfer couplings have been
investigated.


title: Measurements of the CKM angle gamma in tree-dominated decays at LHCb

abstract:
  We review the first measurements of the CKM angle gamma from LHCb. These
measurements have been performed with b-hadron decays dominated by b -> u and b
-> c tree-level amplitudes, from which gamma can be determined without
theoretical uncertainties. Precision is achieved by averaging results from B-
-> Dh- (h= K,pi) decays with D -> h+h-, D -> K+pi-, and D -> K+pi-pi+pi-, and D
-> K_S^0h+h-. Prospects for these and future measurements of gamma using
neutral b-hadron decays are briefly discussed.


title:
High critical current density and low anisotropy in textured
  Sr1-xKxFe2As2 tapes for high field applications

abstract:
  From the application point of view, large critical current densities Jc (H)
for superconducting wires are required, preferably for magnetic fields higher
than 5 T. Here we show that strong c-axis textured Sr1-xKxFe2As2 tapes with
nearly isotropic transport Jc were fabricated by an ex-situ powder-in-tube
(PIT) process. At 4.2 K, the Jc values show extremely weak magnetic field
dependence and reach high values of 1.7x10^4 A/cm^2 at 10 T and 1.4x10^4 A/cm^2
at 14 T, respectively, these values are by far the highest ever reported for
iron based wires and approach the Jc level desired for practical applications.
Transmission electron microscopy investigations revealed that amorphous oxide
layers at grain boundaries were significantly reduced by Sn addition which
resulted in greatly improved intergranular connectivity. Our results
demonstrated the strong potential of using iron based superconductors for high
field applications.


title: Holographic anomaly in 3d f(Ric) gravity

abstract:
  By applying the holographic renormalization method to the metric formalism of
f(Ric) gravity in three dimensions, we obtain the Brown-York boundary
stress-tensor for backgrounds which asymptote to the locally AdS3 solution of
Einstein gravity. The logarithmic divergence of the on-shell action can be
subtracted by a non-covariant cut-off independent term which exchanges the
trace anomaly for a gravitational anomaly. We show that the central charge can
be determined by means of BTZ holography or in terms of the Hawking effect of a
Schwarzschild black hole placed on the boundary.


abstract:
  The shearing instability of a dilute granular mixture composed of smooth
inelastic hard spheres or disks is investigated. By using the Navier-Stokes
hydrodynamic equations, it is shown that the scaled transversal velocity mode
exhibits a divergent behaviour, similarly to what happens in one-component
systems. The theoretical prediction for the critical size is compared with
direct Monte Carlo simulations of the Boltzmann equations describing the
system, and a good agreement is found. The total energy fluctuations in the
vicinity of the transition are shown to scale with the second moment of the
distribution. The scaling distribution function is the same as found in other
equilibrium and non-equilibrium phase transitions, suggesting the existence of
some kind of universality.


title: The size of most massive neutron stars may reveal its exotic cores

abstract:
  The recent high precision observation of the most massive pulsar J1614-2230
with $(1.97\pm0.04)$ solar mass ($M_\odot$) was reported with a suggestion that
many nuclear models which consider exotic particles in the core could be ruled
out. However, many recent calculations could explain this star with various
exotic particles, rendering the precise mass measurements insufficient to
conclude on exotic cores. We examine the sensitivity of the radius of such a
star to the details of its core. With our calculations and analysis, here we
show that, for the most massive neutron star, with a precise observation of its
radius it is possible to ascertain the presence of exotic cores.


title: Efficient Parallel and External Matching

abstract:
  We show that a simple algorithm for computing a matching on a graph runs in a
logarithmic number of phases incurring work linear in the input size. The
algorithm can be adapted to provide efficient algorithms in several models of
computation, such as PRAM, External Memory, MapReduce and distributed memory
models. Our CREW PRAM algorithm is the first O(log^2 n) time, linear work
algorithm. Our experimental results indicate the algorithm's high speed and
efficiency combined with good solution quality.


title: Isoperimetric inequalities in Euclidean convex bodies

abstract:
  In this paper we consider the problem of minimizing the relative perimeter
under a volume constraint in the interior of a convex body, i.e., a compact
convex set in Euclidean space with interior points. We shall not impose any
regularity assumption on the boundary of the convex set. Amongst other results,
we shall prove the equivalence between Hausdorff and Lipschitz convergence, the
continuity of the isoperimetric profile with respect to the Hausdorff
distance,and the convergence in Hausdorff distance of sequences of
isoperimetric regions and their free boundaries. We shall also describe the
behavior of the isoperimetric profile for small volume, and the behavior of
isoperimetric regions for small volume.


title:
Dimensional variance inequalities of Brascamp-Lieb type and a local
  approach to dimensional Pr\'ekopa's theorem

abstract:
  We give a new approach, inspired by H\"ormander's $L^2$-method, to weighted
variance inequalities which extend results obtained by Bobkov and Ledoux. It
provides in particular a local proof of the dimensional functional forms of the
Brunn-Minkowski inequalities. We also present several applications of these
variance inequalities, including reverse H\"older inequalities for convex
functions, weighted Brascamp-Lieb inequalities and sharp weighted Poincar\'{e}
inequalities for generalized Cauchy measures.


title:
Pasta phases in neutron star studied with extended relativistic mean
  field models

abstract:
  To explain several properties of finite nuclei, infinite matter, and neutron
stars in a unified way within the relativistic mean field models, it is
important to extend them either with higher order couplings or with
density-dependent couplings. These extensions are known to have strong impact
in the high-density regime. Here we explore their role on the equation of state
at densities lower than the saturation density of finite nuclei which govern
the phase transitions associated with pasta structures in the crust of neutron
stars.


title:
Linking Things on the Web: A Pragmatic Examination of Linked Data for
  Libraries, Archives and Museums

abstract:
  The Web publishing paradigm of Linked Data has been gaining traction in the
cultural heritage sector: libraries, archives and museums. At first glance, the
principles of Linked Data seem simple enough. However experienced Web
developers, designers and architects who attempt to put these ideas into
practice often find themselves having to digest and understand debates about
Web architecture, the semantic web, artificial intelligence and the
philosophical nature of identity. In this paper I will discuss some of the
reasons why Linked Data is of interest to the cultural heritage community, what
some of the pain points are for deploying it, and characterize some pragmatic
ways for cultural heritage organizations to realize the goals of Linked Data
with examples from the Web we have today.


title:
Market Microstructure Knowledge Needed for Controlling an Intra-Day
  Trading Process

abstract:
  A great deal of academic and theoretical work has been dedicated to optimal
liquidation of large orders these last twenty years. The optimal split of an
order through time (`optimal trade scheduling') and space (`smart order
routing') is of high interest \rred{to} practitioners because of the increasing
complexity of the market micro structure because of the evolution recently of
regulations and liquidity worldwide. This paper translates into quantitative
terms these regulatory issues and, more broadly, current market design. It
relates the recent advances in optimal trading, order-book simulation and
optimal liquidity to the reality of trading in an emerging global network of
liquidity.


title:
Singular Riemannian foliations and applications to positive and
  nonnegative curvature

abstract:
  We determine the structure of the fundamental group of the regular leaves of
a closed singular Riemannian foliation on a compact, simply connected
Riemannian manifold. We also study closed singular Riemannian foliations whose
leaves are homeomorphic to aspherical or to Bieberbach manifolds. These
foliations, which we call A-foliations and B-foliations, respectively,
generalize isometric torus actions on Riemannian manifolds. We apply our
results to the classification problem of compact, simply connected Riemannian
4- and 5-manifolds with positive or nonnegative sectional curvature.


title:
Improved Green's Function Measurement for Hybridization Expansion
  Quantum Monte Carlo

abstract:
  We present an algorithm for measurement of the Green's function in the
hybridization expansion continuous-time quantum Monte-Carlo based on continuous
estimators. Compared to the standard method, the present algorithm has similar
or better accuracy with improvement notable especially at low perturbation
orders and high frequencies. The resulting statistical noise is weakly
correlated so high-accuracy data for the numerical analytical continuation can
be produced.


title: Collateral-Enhanced Default Risk

abstract:
  Changes in collateralization have been implicated in significant default (or
near-default) events during the financial crisis, most notably with AIG. We
have developed a framework for quantifying this effect based on moving between
Merton-type and Black-Cox-type structural default models. Our framework leads
to a single equation that emcompasses the range of possibilities, including
collateralization remargining frequency (i.e. discrete observations). We show
that increases in collateralization, by exposing entities to daily
mark-to-market volatility, enhance default probability. This quantifies the
well-known problem with collateral triggers. Furthermore our model can be used
to quantify the degree to which central counterparties, whilst removing credit
risk transmission, systematically increase default risk.


title: Dynamics of Nematic Liquid Crystal Flows: the Quasilinear Approach

abstract:
  Consider the (simplified) Leslie-Erickson model for the flow of nematic
liquid crystals in a bounded domain $\Omega \subset \mathbb{R}^n$ for n > 1$.
This article develops a complete dynamic theory for these equations, analyzing
the system as a quasilinear parabolic evolution equation in an
$L_p-L_q$-setting. First, the existence of a unique local strong solution is
proved. This solution extends to a global strong solution, provided the initial
data are close to an equilibrium or the solution is eventually bounded in the
natural norm of the underlying state space. In this case the solution converges
exponentially to an equilibrium. Moreover, the solution is shown to be real
analytic, jointly in time and space.


title: Macroscopic view of light pressure on continuous medium

abstract:
  The ambiguity of macroscopic description of light pressure on continuous
medium originates from the uncertainty of dividing the energy-momentum tensor
of electromagnetically excited matter into material and field parts or,
equivalently, the total acting force into pressure and deformation terms. We
show that although there exists a continuum of formally correct formulations,
one can adopt the appropriate form of the macroscopic field stress tensor that
allows unified description of pressure during elementary light-matter
interactions, such as reflection/refraction, absorption and nonlinear
conversion. The proposed expressions for the pressure force are simple,
convenient and compatible with the polariton momentum $\hbar \bf k$. The
corresponding electromagnetic momentum density (14) generalizes Rytov's
definition for right-handed and left-handed frequency dispersive media.


title:
Bloch-Siegert shift in application to the astrophysical determination of
  the fundamental constants variation

abstract:
  We have evaluated the Bloch-Siegert shift for the different values of
magnetic field's strengths defined at astrophysical conditions, i.e. when the
stars with the strong surface magnetic fields are taken as a powerful pumping
source of radiation. It is found that the additional shift of resonant
frequency should be taken into account in the search for the time variation of
the fundamental constants. The main conclusion is that the influence of the
electromagnetic field shift should be considered carefully in each special case
of the corresponding frequency determination.


title:
Uniform boundedness of pretangent spaces and local strong one-side
  porosity

abstract:
  Let (X,d,p) be a pointed metric space. A pretangent space to X at p is a
metric space consisting of some equivalence classes of convergent to p
sequences (x_n), x_n \in X, whose degree of convergence is comparable with a
given scaling sequence (r_n), r_n\downarrow 0. We say that (r_n) is normal if
there is (x_n) such that |d(x_n,p)-r_n|=o(r_n) for n\to\infty. Let
Omega_{p}^{X}(n) be the set of pretangent spaces to X at p with normal scaling
sequences. We prove that the spaces from Omega_{p}^{X}(n) are uniformly bounded
if and only if {d(x,p:x\in X}is a so-called completely strongly porous set.


title: Transverse single spin asymmetry in hadronic $\eta_{c,b}$ production

abstract:
  We study the transverse single spin asymmetry in $\eta_{c,b}$ production in
polarized hadron collisions, employing the collinear twist-3 approach in
combination with the color singlet model. Our main focus lies on the
contribution from the twist-3 Efremov-Teryaev-Qiu-Sterman function. By
extrapolating the derived spin dependent cross section to the small transverse
momentum region, consistency between the collinear twist-3 approach and the
transverse momentum dependent factorization approach is confirmed. As a
byproduct of this work, we identify a term contributing to the scale evolution
of tri-gluon correlations in the flavor-singlet case which was previously
missed.


title: On the temporal decay for the Hall-magnetohydrodynamic equations

abstract:
  We establish temporal decay estimates for weak solutions to the
Hall-magnetohydrodynamic equations. With these estimates in hand we obtain
algebraic time decay for higher order Sobolev norms of small initial data
solutions.


title:
On the evolution of the non exchange spring behaviour to the exchange
  spring behaviour: A First Order Reversal Curve Analysis

abstract:
  The magnetization behaviour of the soft Cobalt Ferrite-hard Strontium Ferrite
nanocomposite is tuned from the non exchange spring nature to the exchange
spring nature, by controlling the particle size of the soft Cobalt Ferrite in
the Cobalt Ferrite: Strontium Ferrite (1:8) nanocomposite. The relative
strength of the interaction governing the magnetization process in the
nanocomposites is investigated using Henkel plot and First Order Reversal Curve
(FORC) method. The FORC method has been utilized to understand the
magnetization reversal behaviour as well as the extent of the irreversible
magnetization present in both the nanocomposites having smaller and larger
particle size of the Cobalt Ferrite. The magnetization process is primarily
controlled by the domain wall movement in the nanocomposites. Using the FORC
distribution in the (Ha, Hb) co-ordinate, the onset of the nucleation field,
invasion of the domain wall from the soft to the hard phase, domain wall
annihilation and the presence of the reversible magnetization with the applied
reversal field for both the nanocomposites has been investigated. It has been
found that for the composite having lower particle size of the soft phase shows
a single switching behaviour corresponding to the coherent reversal of the both
soft and hard phases. However, the composite having higher Cobalt Ferrite
particle size shows two peak behaviour in the FORC distribution resembling
individual switching of the soft and hard phases. The FORC distribution in (Hu,
Hc) co-ordinate and the Henkel measurement confirms the dominant exchange
interaction in the nanocomposites exhibiting exchange spring behaviour where as
the occurrence of both the dipolar and exchange interaction is substantiated
for the non exchange coupled nanocomposite.


title:
Interface Electronic Structure in a Metal/Ferroelectric Heterostructure
  under Applied Bias

abstract:
  The effective barrier height between an electrode and a ferroelectric (FE)
depends on both macroscopic electrical properties and microscopic chemical and
electronic structure. The behavior of a prototypical electrode/FE/electrode
structure, Pt/BaTiO3/Nb-doped SrTiO3, under in-situ bias voltage is
investigated using X-Ray Photoelectron Spectroscopy. The full band alignment is
measured and is supported by transport measurements. Barrier heights depend on
interface chemistry and on the FE polarization. A differential response of the
core levels to applied bias as a function of the polarization state is
observed, consistent with Callen charge variations near the interface.


title:
Nucleon form factors, generalized parton distributions and quark angular
  momentum

abstract:
  We extract the individual contributions from u and d quarks to the Dirac and
Pauli form factors of the proton, after a critical examination of the available
measurements of electromagnetic nucleon form factors. From this data we
determine generalized parton distributions for valence quarks, assuming a
particular form for their functional dependence. The result allows us to study
various aspects of nucleon structure in the valence region. In particular, we
evaluate Ji's sum rule and estimate the total angular momentum carried by
valence quarks at the scale mu = 2 GeV to be J_v^u = 0.230 +0.009 -0.024 and
J_v^d = -0.004 +0.010 -0.016.


title: The transfer principle: A tool for complete case analysis

abstract:
  This paper gives a general method for deriving limiting distributions of
complete case statistics for missing data models from corresponding results for
the model where all data are observed. This provides a convenient tool for
obtaining the asymptotic behavior of complete case versions of established full
data methods without lengthy proofs. The methodology is illustrated by
analyzing three inference procedures for partially linear regression models
with responses missing at random. We first show that complete case versions of
asymptotically efficient estimators of the slope parameter for the full model
are efficient, thereby solving the problem of constructing efficient estimators
of the slope parameter for this model. Second, we derive an asymptotically
distribution free test for fitting a normal distribution to the errors.
Finally, we obtain an asymptotically distribution free test for linearity, that
is, for testing that the nonparametric component of these models is a constant.
This test is new both when data are fully observed and when data are missing at
random.


title:
Neutral current Drell-Yan with combined QCD and electroweak corrections
  in the POWHEG BOX

abstract:
  Following recent work on the combination of electroweak and strong radiative
corrections to single W-boson hadroproduction in the POWHEG BOX framework, we
generalize the above treatment to cover the neutral current Drell-Yan process.
According to the POWHEG method, we combine both the next-to-leading order (NLO)
electroweak and QED multiple photon corrections with the native NLO and Parton
Shower QCD contributions. We show comparisons with the predictions of the
electroweak generator HORACE, to validate the reliability and accuracy of the
approach. We also present phenomenological results obtained with the new tool
for physics studies at the LHC.


title:
Asymptotic optimality and efficient computation of the leave-subject-out
  cross-validation

abstract:
  Although the leave-subject-out cross-validation (CV) has been widely used in
practice for tuning parameter selection for various nonparametric and
semiparametric models of longitudinal data, its theoretical property is unknown
and solving the associated optimization problem is computationally expensive,
especially when there are multiple tuning parameters. In this paper, by
focusing on the penalized spline method, we show that the leave-subject-out CV
is optimal in the sense that it is asymptotically equivalent to the empirical
squared error loss function minimization. An efficient Newton-type algorithm is
developed to compute the penalty parameters that optimize the CV criterion.
Simulated and real data are used to demonstrate the effectiveness of the
leave-subject-out CV in selecting both the penalty parameters and the working
correlation matrix.


title:
Readout and control of a single nuclear spin with a meta-stable electron
  spin ancilla

abstract:
  Electron and nuclear spins associated with point defects in insulators are
promising systems for solid state quantum technology. While the electron spin
usually is used for readout and addressing, nuclear spins are exquisite quantum
bits and memory systems. With these systems single-shot readout of nearby
nuclear spins as well as entanglement aided by the electron spin has been
shown. While the electron spin in this example is essential for readout it
usually limits nuclear spin coherence. This has set of the quest for defects
with spin-free ground states. Here, we isolate a hitherto unidentified defect
in diamond and use it at room temperature to demonstrate optical spin
polarization and readout with exceptionally high contrast (up to 45%), coherent
manipulation of an individual excited triplet state spin, and coherent nuclear
spin manipulation using the triplet electron spin as a meta-stable ancilla. By
this we demonstrate nuclear magnetic resonance and Rabi oscillations of the
uncoupled nuclear spin in the spin-free electronic ground state. Our study
demonstrates that nuclei coupled to single metastable electron spins are useful
quantum systems with long memory times despite electronic relaxation processes.


title: Optimal information rate of secret sharing schemes on trees

abstract:
  The information rate for an access structure is the reciprocal of the load of
the optimal secret sharing scheme for this structure. We determine this value
for all trees: it is 1/(2-1/c), where c is the size of the largest core of the
tree. A subset of the vertices of a tree is a core if it induces a connected
subgraph and for each vertex in the subset one finds a neighbor outside the
subset. Our result follows from a lower and an upper bound on the information
rate that applies for any graph and happen to coincide for trees because of a
correspondence between the size of the largest core and a quantity related to a
fractional cover of the tree with stars.


title:
Observation of double percolation transitions in Ag-SnO$_2$ nanogranular
  films

abstract:
  Two percolation transitions are observed in Ag$_x$(SnO$_2)_{1-x}$
nanogranular films with Ag volume fraction $x$ ranging from $\sim$0.2 to
$\sim$0.9. In the vicinity of each percolation threshold $x_{ci}$ ($i$$=$1, 2),
the variation in $\sigma$ with $x$ obeys a power law for $x$$>$$x_{ci}$. The
origin of the first percolation transition at $x_{c1}$ ($x_{c1}$$>$$x_{c2}$) is
similar to that of the classical one, while the second transition is explained
as originating from the tunneling to the second-nearest neighboring Ag
particles. These observations provide strong experimental support for the
validity of current theories concerning tunneling effect in conductor-insulator
nanogranular composites.


title: Ion acceleration in "dragging field" of a light-pressure-driven piston

abstract:
  We propose a new acceleration scheme that combines shock wave acceleration
(SWA) and light pressure acceleration (LPA). When a thin foil driven by light
pressure of an ultra-intense laser pulse propagates in underdense background
plasma, it serves as a shock-like piston, trapping and reflecting background
protons to ultra-high energies. Unlike in SWA, the piston velocity is not
limited by the Mach number and can be highly relativistic. Background protons
can be trapped and reflected forward by the enormous "dragging field" potential
behind the piston which is not employed in LPA. Our one- and two-dimensional
particle-in-cell simulations and analytical model both show that proton
energies of several tens to hundreds of GeV can be obtained, while the
achievable energy in simple LPA is below 10 GeV.


title:
Hint of 150 MHz radio emission from the Neptune-mass extrasolar
  transiting planet HAT-P-11b

abstract:
  Since the radio-frequency emission from planets is expected to be strongly
influenced by their interaction with the magnetic field and corona of the host
star, the physics of this process can be effectively constrained by making
sensitive measurements of the planetary radio emission. Up to now, however,
numerous searches for radio emission from extrasolar planets at radio
wavelengths have only yielded negative results. Here we report deep radio
observations of the nearby Neptune-mass extrasolar transiting planet HAT-P-11b
at 150 MHz, using the Giant Meterwave Radio Telescope (GMRT). On July 16, 2009,
we detected a 3-sigma emission whose light curve is consistent with an eclipse
when the planet passed behind the star. This emission is at a position 14
arcsec from the transiting exoplanet's coordinates; thus, with a synthetized
beam of FWHM~16 arcsec, the position uncertainty of this weak radio signal
encompasses the location of HAT-P-11. We estimate a 5% false positive
probability that the observed radio light curve mimics the planet's eclipse
light curve. If the faint signature is indeed a radio eclipse event associated
with the planet, then its flux would be 3.87 mJy +/- 1.29 mJy at 150 MHz.
However, our equally sensitive repeat observations of the system on November
17, 2010 did not detect a significant signal in the radio light curve near the
same position. This lack of confirmation leaves us with the possibility of
either a variable planetary emission, or a chance occurrence of a false
positive signal in our first observation. Deeper observations are required to
confirm this hint of 150 MHz radio emission from HAT-P-11b.


title: Sub-Doppler Cavity Cooling Beyond The Lamb-Dicke Limit

abstract:
  We investigate the dynamics of cavity cooling of a single ion beyond the
Lamb-Dicke regime and demonstrate a cooling limit of approximately 50% of the
Doppler temperature using a high finesse cavity for the first time. We also
study the statistical properties of the ion-cavity emission and present a model
that maps the phonon states to the photon states. With this model, we explain
the super-Poissonian photon distribution observed in our experiments and
propose a method to estimate the ion temperature in a real-time manner based on
the statistical behavior of the photon emission from the cavity.


title:
Exact solutions of the (2+1) Dimensional Dirac equation in a constant
  magnetic field in the presence of a minimal length

abstract:
  We study the (2+1) dimensional Dirac equation in an homogeneous magnetic
field (relativistic Landau problem) within a minimal length, or generalized
uncertainty principle -GUP-, scenario. We derive exact solutions for a given
explicit representation of the GUP and provide expressions of the wave
functions in the momentum representation. We find that in the minimal length
case the degeneracy of the states is modified and that there are states that do
not exist in the ordinary quantum mechanics limit (\beta -->0). We also discuss
the mass-less case which may find application in describing the behavior of
charged fermions in new materials like Graphene.

categories: hep-th cond-mat.mtrl-sci math-ph math.MP quant-ph


title: Convergent sequences of sparse graphs: A large deviations approach

abstract:
  In this paper we introduce a new notion of convergence of sparse graphs which
we call Large Deviations or LD-convergence and which is based on the theory of
large deviations. The notion is introduced by "decorating" the nodes of the
graph with random uniform i.i.d. weights and constructing random measures on
$[0,1]$ and $[0,1]^2$ based on the decoration of nodes and edges. A graph
sequence is defined to be converging if the corresponding sequence of random
measures satisfies the Large Deviations Principle with respect to the topology
of weak convergence on bounded measures on $[0,1]^d, d=1,2$. We then establish
that LD-convergence implies several previous notions of convergence, namely
so-called right-convergence, left-convergence, and partition-convergence. The
corresponding large deviation rate function can be interpreted as the limit
object of the sparse graph sequence. In particular, we can express the limiting
free energies in terms of this limit object.


title: Uniqueness of extreme horizons in Einstein-Yang-Mills theory

abstract:
  We consider stationary extreme black hole solutions to the
Einstein-Yang-Mills equations in four dimensions, allowing for a negative
cosmological constant. We prove that any axisymmetric black hole of this kind
possesses a near-horizon AdS(2) symmetry and deduce its near-horizon geometry
must be that of the abelian embedded extreme Kerr-Newman (AdS) black hole. We
also show that the near-horizon geometry of any static black hole is a direct
product of AdS(2) and a constant curvature space.


title: Extensions of the siesta dft code for simulation of molecules

abstract:
  We describe extensions to the siesta density functional theory (dft) code
[30], for the simulation of isolated molecules and their absorption spectra.
The extensions allow for: - Use of a multi-grid solver for the Poisson equation
on a finite dft mesh. Non-periodic, Dirichlet boundary conditions are computed
by expansion of the electric multipoles over spherical harmonics. - Truncation
of a molecular system by the method of design atom pseudo- potentials of Xiao
and Zhang[32]. - Electrostatic potential fitting to determine effective atomic
charges. - Derivation of electronic absorption transition energies and
oscillator stren- gths from the raw spectra produced by a recently described,
order O(N3), time-dependent dft code[21]. The code is furthermore integrated
within siesta as a post-processing option.


title: Saving phase: Injectivity and stability for phase retrieval

abstract:
  Recent advances in convex optimization have led to new strides in the phase
retrieval problem over finite-dimensional vector spaces. However, certain
fundamental questions remain: What sorts of measurement vectors uniquely
determine every signal up to a global phase factor, and how many are needed to
do so? Furthermore, which measurement ensembles lend stability? This paper
presents several results that address each of these questions. We begin by
characterizing injectivity, and we identify that the complement property is
indeed a necessary condition in the complex case. We then pose a conjecture
that 4M-4 generic measurement vectors are both necessary and sufficient for
injectivity in M dimensions, and we prove this conjecture in the special cases
where M=2,3. Next, we shift our attention to stability, both in the worst and
average cases. Here, we characterize worst-case stability in the real case by
introducing a numerical version of the complement property. This new property
bears some resemblance to the restricted isometry property of compressed
sensing and can be used to derive a sharp lower Lipschitz bound on the
intensity measurement mapping. Localized frames are shown to lack this property
(suggesting instability), whereas Gaussian random measurements are shown to
satisfy this property with high probability. We conclude by presenting results
that use a stochastic noise model in both the real and complex cases, and we
leverage Cramer-Rao lower bounds to identify stability with stronger versions
of the injectivity characterizations.


title: Compactified Horizontal Visibility Graph for the Language Network

abstract:
  A compactified horizontal visibility graph for the language network is
proposed. It was found that the networks constructed in such way are scale
free, and have a property that among the nodes with largest degrees there are
words that determine not only a text structure communication, but also its
informational structure.


title: An overdetermined problem with non constant boundary condition

abstract:
  We investigate an overdetermined Torsion problem, with a non-constant
positively homogeneous boundary constraint on the gradient. We interpret this
problem as the Euler equation of a shape optimization problems, we prove
existence and regularity of a solution. Moreover several geometric properties
of the solution are shown.


title:
Secular Light Curves of Comets C/2011 L4 Panstarrs and C/2012 S1 ISON
  Compared to 1P/Halley

abstract:
  We used 1329 observations of comet C/2011 L4 Panstarrs and 1897 observations
of C/2012 S1 ISON to create the Secular Light Curves (SLCs), and to compare
them to comet 1P/Halley (3172 observations). These comets are at the present
time approaching perihelion. Thus the information contained in this report is
preliminary.


title: Sur la complexit\'e de familles d'ensembles pseudo-al\'eatoires

abstract:
  In this paper we are interested in the following problem. Let $p$ be a prime
number, $S\subset \F_p$ and $\cP\subset \{P\in\F_p [X]:\deg P\le d\}$. What is
the largest integer $k$ such that for all subsets $\cA, \cB$ of $\F_p$
satisfying $\cA\cap\cB =\emptyset$ and $|\cA\cup\cB |=k$, there exists
$P\in\cP$ such that $P(x)\in S$ if $x\in\cA$ and $P(x)\not\in S$ if $x\in\cB$?
This problem corresponds to the study of the complexity of some families of
pseudo-random subsets. First we recall this complexity definition and the
context of pseudo-random subsets. Then we state the different results we have
obtained according to the shape of the sets $S$ and $\cP$ considered. Some
proofs are based on upper bounds for exponential sums or characters sums in
finite fields, other proofs use combinatorics and additive number theory.


title:
Coulomb problem in NC quantum mechanics: Exact solution and
  non-perturbative aspects

abstract:
  The aim of this paper is to find out how would possible space
non-commutativity (NC) alter the QM solution of the Coulomb problem. The NC
parameter lambda is to be regarded as a measure of the non-commutativity -
setting lambda = 0 means a return to the standard quantum mechanics. As the
very first step a rotationaly invariant non-commutative 3D space, an analog of
the Coulomb problem configuration space (3D space with origin extracted), is
introduced. The non-commutative space in question is generated by NC
coordinates realized as operators acting in an auxiliary Fock space. The
properly weighted Hilbert-Schmidt operators in this Fock space form an NC
analog of the Hilbert space of the wave functions. We will refer to them as
"wave functions" also in the NC case. The definition of an NC analog of the
hamiltonian as a hermitian operator is one of the key parts of this paper. The
resulting problem is exactly solvable. The full solution is provided, including
formulas for the bound states for negative energy E and low-energy scattering
for positive E (both containig NC corrections analytic in lambda) and also
formulas for high-energy scattering and unexpected bound states at ultra-high
energy (both containing NC corrections singular in lambda). All the NC
contributions to the known QM solutions either vanish or disappear in the limit
of vanishing lambda.


title: A numerical algorithm for a class of BSDEs via branching process

abstract:
  We generalize the algorithm for semi-linear parabolic PDEs in
Henry-Labord\`ere (2012) to the non-Markovian case for a class of Backward SDEs
(BSDEs). By simulating the branching process, the algorithm does not need any
backward regression. To prove that the numerical algorithm converges to the
solution of BSDEs, we use the notion of viscosity solution of path dependent
PDEs introduced by Ekren, Keller, Touzi and Zhang (2012) and extended in Ekren,
Touzi and Zhang (2013).


title: On the sum of $L1$ influences

abstract:
  For a function $f$ over the discrete cube, the total $L_1$ influence of $f$
is defined as $\sum_{i=1}^n \|\partial_i f\|_1$, where $\partial_i f$ denotes
the discrete derivative of $f$ in the direction $i$. In this work, we show that
the total $L_1$ influence of a $[-1,1]$-valued function $f$ can be upper
bounded by a polynomial in the degree of $f$, resolving affirmatively an open
problem of Aaronson and Ambainis (ITCS 2011). The main challenge here is that
the $L_1$ influences do not admit an easy Fourier analytic representation. In
our proof, we overcome this problem by introducing a new analytic quantity
$\mathcal I_p(f)$, relating this new quantity to the total $L_1$ influence of
$f$. This new quantity, which roughly corresponds to an average of the total
$L_1$ influences of some ensemble of functions related to $f$, has the benefit
of being much easier to analyze, allowing us to resolve the problem of Aaronson
and Ambainis. We also give an application of the theorem to graph theory, and
discuss the connection between the study of bounded functions over the cube and
the quantum query complexity of partial functions where Aaronson and Ambainis
encountered this question.


title: Degenerate Monge-Type Hypersurfaces

abstract:
  In this note, we extend the notion of a Monge hypersurface from its roots in
semi-Euclidean space to more general spaces. For the degenerate case, the
geometry of these structures is studied using the Bejancu-Duggal method of
screen distributions.


title: Large cliques in sparse random intersection graphs

abstract:
  Given positive integers n and m, and a probability measure P on {0, 1, ...,
m} the random intersection graph G(n,m,P) on vertex set V = {1,2, ..., n} and
with attribute set W = {w_1, w_2, ..., w_m} is defined as follows. Let S_1,
S_2, ..., S_n be independent random subsets of W such that for any v \in V and
any S \subseteq W we have \pr(S_v = S) = P(|S|) / \binom (m, |S|). The edge set
of G(n,m,P) consists of those pairs {u,v} V for which S_u and S_v intersect.
  We study the asymptotic order of the clique number \omega(G(n,m,P)) in random
intersection graphs with bounded expected degrees. For instance, in the case m
= \Theta(n) we show that if the vertex degree distribution is power-law with
exponent \alpha \in (1;2), then the maximum clique is of a polynomial size,
while if the variance of the degrees is bounded, then the maximum clique has
(ln n)/(ln ln n) (1 + o_P(1)) vertices whp. In each case there is a polynomial
algorithm which finds a clique of size \omega(G(n,m,P)) (1-o_P(1)).


title: The abelian monoid of fusion-stable finite sets is free

abstract:
  We show that the abelian monoid of isomorphism classes of G-stable finite
S-sets is free for a finite group G with Sylow p-subgroup S; here a finite
S-set is called G-stable if it has isomorphic restrictions to G-conjugate
subgroups of S. These G-stable S-sets are of interest, e.g., in homotopy
theory. We prove freeness by constructing an explicit (but somewhat
non-obvious) basis, whose elements are in one-to-one correspondence with the
G-conjugacy classes of subgroups in S. As a central tool of independent
interest, we give a detailed description of the embedding of the Burnside ring
for a saturated fusion system into its associated ghost ring.


title:
Regularity criteria of weak solutions to NSE in some bounded domains
  involving the pressure

abstract:
  We present a short and elegant proof of an estimate for the pressure in terms
of the velocity and external data in bounded domains under the slip and Navier
boundary conditions. We also show an application of this result for conditional
regularity of weak solutions to the Navier-Stokes equations.