title: On the automorphisms of moduli spaces of curves

abstract:
  In the last years the biregular automorphisms of the Deligne-Mumford's and
Hassett's compactifications of the moduli space of n-pointed genus g smooth
curves have been extensively studied by A. Bruno and the authors. In this paper
we give a survey of these recent results and extend our techniques to some
moduli spaces appearing as intermediate steps of the Kapranov's and Keel's
realizations of $\bar{M}_{0,n}$, and to the degenerations of Hassett's spaces
obtained by allowing zero weights.


title: Commutant structuture of Ux...xUxU* transformations

abstract:
  In this paper we have found irreducible representations (irreps) of the
algebra of partially transposed permutation operators on last subsystem. We
give here direct method of irreps construction for an arbitrary number of
subsystems n and local dimension d. Our method is inspired by representation
theory of symmetric group S(n), theory of Brauer Algebras and Walled Brauer
Algebras.


title: Full abstraction for fair testing in CCS

abstract:
  In previous work with Pous, we defined a semantics for CCS which may both be
viewed as an innocent presheaf semantics and as a concurrent game semantics. It
is here proved that a behavioural equivalence induced by this semantics on CCS
processes is fully abstract for fair testing equivalence. The proof relies on a
new algebraic notion called playground, which represents the 'rule of the
game'. From any playground, two languages, equipped with labelled transition
systems, are derived, as well as a strong, functional bisimulation between
them.


title: Dirac operator on noncommutative principal circle bundles

abstract:
  We study spectral triples over noncommutative principal U(1)-bundles of
arbitrary dimension and formulate a compatibility condition between the
connection and the Dirac operator on the total space and on the base space of
the bundle. Examples of low dimensional noncommutative tori are analyzed in
more detail and all connections found that are compatible with an admissible
Dirac operator. Conversely, a family of new Dirac operators on the
noncommutative tori, which arise from the base-space Dirac operator and a
suitable connection is exhibited. These examples are extended to the
theta-deformed principal U(1)-bundle S^3_\theta -> S^2.


title: Special Open Sets in Manifold Calculus

abstract:
  Embedding Calculus, as described by Weiss, is a calculus of functors,
suitable for studying contravariant functors from the poset of open subsets of
a smooth manifold M, denoted O(M), to a category of topological spaces (of
which the functor Emb(-,N) for some fixed manifold N is a prime example).
Polynomial functors of degree k can be characterized by their restriction to
O_k(M), the full subposet of O(M) consisting of open sets which are a disjoint
union of at most k components, each diffeomorphic to the open unit ball. In
this work, we replace O_k(M) by more general subposets and see that we still
recover the same notion of polynomial cofunctor.


title: Improved Branch-and-Bound for Low Autocorrelation Binary Sequences

abstract:
  The Low Autocorrelation Binary Sequence problem has applications in
telecommunications, is of theoretical interest to physicists, and has inspired
many optimisation researchers. Metaheuristics for the problem have progressed
greatly in recent years but complete search has not progressed since a
branch-and-bound method of 1996. In this paper we find four ways of improving
branch-and-bound, leading to a tighter relaxation, faster convergence to
optimality, and better empirical scalability.


title: Pathwise versions of the Burkholder-Davis-Gundy inequality

abstract:
  We present a new proof of the Burkholder-Davis-Gundy inequalities for $1\leq
p<\infty$. The novelty of our method is that these martingale inequalities are
obtained as consequences of elementary deterministic counterparts. The latter
have a natural interpretation in terms of robust hedging.


title: Lattice Boltzmann method to study the contraction of a viscous ligament

abstract:
  We employ a recently formulated axisymmetric version of the multiphase
Shan-Chen (SC) lattice Boltzmann method (LBM) [Srivastava et al, in preparation
(2013)] to simulate the contraction of a liquid ligament. We compare the
axisymmetric LBM simulation against the slender jet (SJ) approximation model
[T. Driessen and R. Jeurissen, IJCFD {\bf 25}, 333 (2011)]. We compare the
retraction dynamics of the tail-end of the liquid ligament from the LBM
simulation, the SJ model, Flow3D simulations and a simple model based on the
force balance (FB). We find good agreement between the theoretical prediction
(FB), the SJ model, and the LBM simulations.


title: Classical simulation complexity of extended Clifford circuits

abstract:
  Clifford gates are a winsome class of quantum operations combining
mathematical elegance with physical significance. The Gottesman-Knill theorem
asserts that Clifford computations can be classically efficiently simulated but
this is true only in a suitably restricted setting. Here we consider Clifford
computations with a variety of additional ingredients: (a) strong vs. weak
simulation, (b) inputs being computational basis states vs. general product
states, (c) adaptive vs. non-adaptive choices of gates for circuits involving
intermediate measurements, (d) single line outputs vs. multi-line outputs. We
consider the classical simulation complexity of all combinations of these
ingredients and show that many are not classically efficiently simulatable
(subject to common complexity assumptions such as P not equal to NP). Our
results reveal a surprising proximity of classical to quantum computing power
viz. a class of classically simulatable quantum circuits which yields universal
quantum computation if extended by a purely classical additional ingredient
that does not extend the class of quantum processes occurring.


title: Latest jets results from the LHC

abstract:
  A fundamental characteristic of hadron colliders is the abundant production
of jets, which then are studied to learn about hard QCD, the proton structure,
or nonperturbative effects. In the following the latest results and
developments from the LHC experiments on jet cross sections, event shapes,
flavour and rapidity dependence, and cross section ratios are presented. The
ratio of the inclusive 3-jet to the inclusive 2-jet event cross section is used
for a first determination of the strong coupling constant at the TeV scale.


title: The M-Principal Graph of a Commutative Ring

abstract:
  This paper has been withdrawn by the author because there are some typos in
proofs.


title: On weak $\alpha$-skew McCoy Rings

abstract:
  Let $\alpha$ be an endomorphism of a ring $R$. We introduce the notion of
weak $\alpha$-skew McCoy rings which are a generalization of the $\alpha$-skew
McCoy rings and the weak McCo rings. Some properties of this generalization are
established, and connections of properties of a weak $\alpha$-skew McCoy ring
$R$ with $n\times n$ upper triangular $T_n(R)$ are investigated. We study
relationship between the weak skew McCoy property of a ring $R$ and it's
polynomial ring, $R[x]$. Among applications, we show that a number of
interesting properties of a weak $\alpha$-skew McCoy ring $R$ such as weak skew
McCoy property in a ring $R$.


title:
Doping Evolution of Nodal Band Renormalization in Bi2Sr2CuO6+d
  Superconductor Revealed by Laser-Based Angle-Resolved Photoemission
  Spectroscopy

abstract:
  High resolution laser-based angle-resolved photoemission measurements have
been carried out on Bi2Sr2CuO6+d superconductor covering a wide doping range
from heavily underdoped to heavily overdoped samples. Two obvious energy scales
are identified in the nodal dispersions: one is the well-known 50-80 meV high
energy kink and the other is <10 meV low energy kink. The high energy kink
increases monotonously in its energy scale with increasing doping and shows
weak temperature dependence, while the low energy kink exhibits a non-monotonic
doping dependence with its coupling strength enhanced sharply below Tc. These
systematic investigations on the doping and temperature dependence of these two
energy scales favor electron-phonon interactions as their origin. They point to
the importance in involving the electron-phonon coupling in understanding the
physical properties and the superconductivity mechanism of high temperature
cuprate superconductors.


title: Maximum 4-degenerate subgraph of a planar graph

abstract:
  A graph $G$ is $k$-degenerate if it can be transformed into an empty graph by
subsequent removals of vertices of degree $k$ or less. We prove that every
connected planar graph with average degree $d \ge 2$ has a 4-degenerate induced
subgraph containing at least $(38-d)/36$ of its vertices. This shows that every
planar graph of order $n$ has a 4-degenerate induced subgraph of order more
than $8/9 \cdot n$. We also consider a local variation of this problem and show
that in every planar graph with at least 7 vertices, deleting a suitable vertex
allows us to subsequently remove at least 6 more vertices of degree four or
less.


title: The Wiener and Terminal Wiener indices of trees

abstract:
  Heydari \cite{heydari2013} presented very nice formulae for the Wiener and
terminal Wiener indices of generalized Bethe trees. It is pity that there are
some errors for the formulae. In this paper, we correct these errors and
characterize all trees with the minimum terminal Wiener index among all the
trees of order $n$ and with maximum degree $\Delta$.


title:
Observation of Multi-Electromagnetically Induced Transparency in V-type
  Rubidium atoms

abstract:
  A detailed experimental investigation and theoretical analysis have been made
in the V-type 85Rb atomic medium. Seven induced transparency windows, including
a central double-peak-structure, have been observed experimentally when a
coupling field and a probe field are applied into the ground and first excited
states. By taking into account the hyperfine splitting of the excited state,
our theoretical analysis gives good explanation for the observed phenomena.


title:
Lower estimates of top Lyapunov exponent for cooperative random systems
  of linear ODEs

abstract:
  For cooperative random linear systems of ordinary differential equations a
method is presented of obtaining lower estimates of the top Lyapunov exponent.
The proofs are based on applying some polynomial Lyapunov-like function. Known
estimates for the dominant eigenvalue of a nonnegative matrix due to G.
Frobenius and L. Yu. Kolotilina are shown to be specializations of our results.


title: The M-Regular Graph of a Commutative Ring

abstract:
  Let $R$ be a commutative ring and $M$ be an $R$-module, and let $Z(M)$ be the
set of all zero-divisors on $M$. In 2008, D.F. Anderson and A. Badawi
introduced the regular graph of $R$. In this paper, we generalize the regular
graph of $R$ to the \textit{$M$-regular graph} of $R$, denoted by
$M$-$Reg(\Gamma(R))$. It is the undirected graph with all $M$-regular elements
of $R$ as vertices, and two distinct vertices $x$ and $y$ are adjacent if and
only if $x+y\in Z(M)$. The basic properties and possible structures of the
$M$-$Reg(\Gamma(R))$ are studied. We determine the girth of the $M$-regular
graph of $R$. Also, we provide some lower bounds for the independence number
and the clique number of the $M$-$Reg(\Gamma(R))$. Among other results, we
prove that for every Noetherian ring $R$ and every finitely generated module
$M$ over $R$, if $2\notin Z(M)$ and the independence number of the
$M$-$Reg(\Gamma(R))$ is finite, then $R$ is finite.


title:
A Rigidity Result for a Reduced Model of a Cubic-to-Orthorhombic Phase
  Transition in the Geometrically Linear Theory of Elasticity

abstract:
  We study a simplified two-dimensional model for a cubic-to-orthorhombic phase
transition occuring in certain shape-memory-alloys. In the low temperature
regime the linear theory of elasticity predicts various possible patterns of
martensite arrangements: Apart from the well known laminates this phase
transition displays additional structures involving four martensitic variants
-- so called crossing twins. Introducing a variational model including surface
energy, we show that these structures are rigid under small energy
perturbations. Combined with an upper bound construction this gives the optimal
scaling behavior of incompatible microstructures. These results are related to
papers by Capella and Otto as well as to a paper by Dolzmann and M\"uller.


title: Maximal displacement in a branching random walk through interfaces

abstract:
  In this article, we study a branching random walk in an environment which
depends on the time. This time-inhomogeneous environment consists of a sequence
of macroscopic time intervals, in each of which the law of reproduction remains
constant. We prove that the asymptotic behaviour of the maximal displacement in
this process consists of a first ballistic order, given by the solution of an
optimization problem under constraints, a negative logarithmic correction, plus
stochastically bounded fluctuations.


title:
Agreeing to disagree, some ironies, disappointing scientific practice
  and a call for better: reply to <<The poor performance of TMM on
  microRNA-Seq>>

abstract:
  This letter is a response to a Divergent Views article entitled <<The poor
performance of TMM on microRNA-Seq>> (Garmire and Subramaniam 2013), which was
a response to our Divergent Views article entitled <<miRNA-seq normalization
comparisons need improvement>> (Zhou et al. 2013). Using reproducible code
examples, we showed that they incorrectly used our normalization method and
highlighted additional concerns with their study. Here, I wish to debunk
several untrue or misleading statements made by the authors (hereafter referred
to as GS) in their response. Unlike GSs, my claims are supported by R code,
citations and email correspondences. I finish by making a call for better
practice.


title:
Dynamic Management Techniques for Increasing Energy Efficiency within a
  Data Center

abstract:
  In ours days data centers provide the global community an indispensable
service: nearly unlimited access to almost any kind of information we can
imagine by supporting most Internet services such as: Web hosting and
E-commerce services. Because of their capacity and their work, data centers
have various impacts on the environment, but those related with the electricity
use are by far the most important. In this paper, we present several power and
energy management techniques for data centers and we will focus our attention
on techniques that are explicitly tailored to servers and their workloads.


title: Direct coupling information measure from non-uniform embedding

abstract:
  A measure to estimate the direct and directional coupling in multivariate
time series is proposed. The measure is an extension of a recently published
measure of conditional Mutual Information from Mixed Embedding (MIME) for
bivariate time series. In the proposed measure of Partial MIME (PMIME), the
embedding is on all observed variables, and it is optimized in explaining the
response variable. It is shown that PMIME detects correctly direct coupling,
and outperforms the (linear) conditional Granger causality and the partial
transfer entropy. We demonstrate that PMIME does not rely on significance test
and embedding parameters, and the number of observed variables has no effect on
its statistical accuracy, it may only slow the computations. The importance of
these points is shown in simulations and in an application to epileptic
multi-channel scalp EEG.

categories: physics.data-an cs.IT math.IT nlin.CD stat.ME


title: Immersed Spheres of Finite Total Curvature into Manifolds

abstract:
  We prove that a sequence of possibly branched, weak immersions of the
two-sphere $S^2$ into an arbitrary compact riemannian manifold $(M^m,h)$ with
uniformly bounded area and uniformly bounded $L^2-$norm of the second
fundamental form either collapse to a point or weakly converges as current,
modulo extraction of a subsequence, to a Lipschitz mapping of $S^2$ and whose
image is made of a connected union of finitely many, possibly branched, weak
immersions of $S^2$ with finite total curvature. We prove moreover that if the
sequence belongs to a class $\gamma$ of $\pi_2(M^m)$ the limiting lipschitz
mapping of $S^2$ realizes this class as well.


title:
Chiron: A Set Theory with Types, Undefinedness, Quotation, and
  Evaluation

abstract:
  Chiron is a derivative of von-Neumann-Bernays-G\"odel (NBG) set theory that
is intended to be a practical, general-purpose logic for mechanizing
mathematics. Unlike traditional set theories such as Zermelo-Fraenkel (ZF) and
NBG, Chiron is equipped with a type system, lambda notation, and definite and
indefinite description. The type system includes a universal type, dependent
types, dependent function types, subtypes, and possibly empty types. Unlike
traditional logics such as first-order logic and simple type theory, Chiron
admits undefined terms that result, for example, from a function applied to an
argument outside its domain or from an improper definite or indefinite
description. The most noteworthy part of Chiron is its facility for reasoning
about the syntax of expressions. Quotation is used to refer to a set called a
construction that represents the syntactic structure of an expression, and
evaluation is used to refer to the value of the expression that a construction
represents. Using quotation and evaluation, syntactic side conditions, schemas,
syntactic transformations used in deduction and computation rules, and other
such things can be directly expressed in Chiron. This paper presents the syntax
and semantics of Chiron, some definitions and simple examples illustrating its
use, a proof system for Chiron, and a notion of an interpretation of one theory
of Chiron in another.


title:
Inverted random nanopyramids patterning for crystalline silicon
  photovoltaics

abstract:
  We demonstrate a nanopatterning technique for silicon photovoltaics, which
optically outperforms conventional micron-scale random pyramids, while
decreasing by a factor of ten the quantity of silicon lost during the texturing
process. We combine hole-mask colloidal lithography, a bottom-up
nanolithography technique, with reactive ion etching to define nanopyramids at
the surface of a silicon wafer. Thanks to the self-organised aspect of the
technique, the beads are randomly distributed, however keeping a interbead
distance of the order of their diameter. We tune the nanopattern feature size
to maximize the absorption in the crystalline silicon by exploiting both
anti-reflection and light trapping. When optimized, the nanopyramids lead to a
higher absorption in the crystalline silicon than the conventional micron-scale
random pyramids in the visible and near the band edge, with a superior
robustness to variations of the angle of the incident light. As the
nanopatterning technique presented here is simple, we expect that it could be
readily integrated into the crystalline silicon solar cell fabrication
processing.


title:
Extremal sequences for the Bellman function of three variables of the
  dyadic maximal operator in relation to Kolmogorov's inequality

abstract:
  We give a characterization of the extremal sequences for the Bellman function
of three variables of the dyadic maximal operator in relation to Kolmogorov's
inequality. In fact we prove that they behave approximately like eigenfunctions
of this operator for a specific eigenvalue. For this approach we use the one
introduced in [4], where the respective Bellman function has been precisely
evaluated.


title:
Magnetization reversal in sub-100nm magnetic tunnel junctions with
  ultrathin MgO barrier biased along hard axis

abstract:
  We report on room temperature magnetoresistance and low frequency noise in
sub-100nm elliptic CoFeB/MgO/CoFeB magnetic tunnel junctions with ultrathin
(0.9nm) barriers. For magnetic fields applied along the hard axis, we observe
current induced magnetization switching between the antiparallel and parallel
alignments at DC current densities as low as 4*106A/cm2. We attribute the low
value of the critical current to the influence of localized reductions in the
tunnel barrier, which affects the current distribution. The analysis of random
telegraph noise, which appears in the field interval near a magnetization
switch, provides an estimate to the dimension of the pseudo pinholes that
trigger the magnetization switching via local spin torque. Micromagnetic
simulations qualitatively and quantitatively reproduce the main experimental
observations.


title: Electron-phonon coupling-induced kinks in the sigma band of graphene

abstract:
  Angle-resolved photoemission spectroscopy reveals pronounced kinks in the
dispersion of the sigma band of graphene. Such kinks are usually caused by the
combination of a strong electron-boson interaction and the cut-off in the
Fermi-Dirac distribution. They are therefore not expected for the $\sigma$ band
of graphene that has a binding energy of more than 3.5 eV. We argue that the
observed kinks are indeed caused by the electron-phonon interaction, but the
role of the Fermi-Dirac distribution cutoff is assumed by a cut-off in the
density of $\sigma$ states. The existence of the effect suggests a very weak
coupling of holes in the $\sigma$ band not only to the $\pi$ electrons of
graphene but also to the substrate electronic states. This is confirmed by the
presence of such kinks for graphene on several different substrates that all
show a strong coupling constant of lambda=1.


title: Development of a Hindi Lemmatizer

abstract:
  We live in a translingual society, in order to communicate with people from
different parts of the world we need to have an expertise in their respective
languages. Learning all these languages is not at all possible; therefore we
need a mechanism which can do this task for us. Machine translators have
emerged as a tool which can perform this task. In order to develop a machine
translator we need to develop several different rules. The very first module
that comes in machine translation pipeline is morphological analysis. Stemming
and lemmatization comes under morphological analysis. In this paper we have
created a lemmatizer which generates rules for removing the affixes along with
the addition of rules for creating a proper root word.


title: Chain Lemma for Biquaternion Algebras in Characteristic 2

abstract:
  In this paper, we prove that for a given biquaternion algebra over a field of
characteristic two, one can move from one symbol presentation to another by at
most three steps, such that in each step at least one entry remains unchanged.
If one requires that in each step two entries remain the same then their number
increases to fifteen. We provide even more basic steps that in order to move
from one symbol presentation to another one needs to use up to forty-five of
them.


title:
Some results on a $\chi$-divergence, an~extended~Fisher information
  and~generalized~Cram\'er-Rao inequalities

abstract:
  We propose a modified $\chi^{\beta}$-divergence, give some of its properties,
and show that this leads to the definition of a generalized Fisher information.
We give generalized Cram\'er-Rao inequalities, involving this Fisher
information, an extension of the Fisher information matrix, and arbitrary norms
and power of the estimation error. In the case of a location parameter, we
obtain new characterizations of the generalized $q$-Gaussians, for instance as
the distribution with a given moment that minimizes the generalized Fisher
information. Finally we indicate how the generalized Fisher information can
lead to new uncertainty relations.


title:
Normality criteria for a family of meromorphic functions with multiple
  zeros

abstract:
  In this article, we prove some normality criteria for a family of meromorphic
functions having zeros with some multiplicity. Our main result involves sharing
of a holomorphic function by certain differential polynomials. Our results
generalize some of the results of Fang and Zalcman and Chen et al to a great
extent.


title:
On some interrelations of generalized $q$-entropies and a generalized
  Fisher information, including a Cram\'er-Rao inequality

abstract:
  In this communication, we describe some interrelations between generalized
$q$-entropies and a generalized version of Fisher information. In information
theory, the de Bruijn identity links the Fisher information and the derivative
of the entropy. We show that this identity can be extended to generalized
versions of entropy and Fisher information. More precisely, a generalized
Fisher information naturally pops up in the expression of the derivative of the
Tsallis entropy. This generalized Fisher information also appears as a special
case of a generalized Fisher information for estimation problems. Indeed, we
derive here a new Cram\'er-Rao inequality for the estimation of a parameter,
which involves a generalized form of Fisher information. This generalized
Fisher information reduces to the standard Fisher information as a particular
case. In the case of a translation parameter, the general Cram\'er-Rao
inequality leads to an inequality for distributions which is saturated by
generalized $q$-Gaussian distributions. These generalized $q$-Gaussians are
important in several areas of physics and mathematics. They are known to
maximize the $q$-entropies subject to a moment constraint. The Cram\'er-Rao
inequality shows that the generalized $q$-Gaussians also minimize the
generalized Fisher information among distributions with a fixed moment.
Similarly, the generalized $q$-Gaussians also minimize the generalized Fisher
information among distributions with a given $q$-entropy.


title: Resource Efficient LDPC Decoders for Multimedia Communication

abstract:
  Achieving high image quality is an important aspect in an increasing number
of wireless multimedia applications. These applications require resource
efficient error correction hardware to detect and correct errors introduced by
the communication channel. This paper presents an innovative flexible
architecture for error correction using Low-Density Parity-Check (LDPC) codes.
The proposed partially-parallel decoder architecture utilizes a novel code
construction technique based on multi-level Hierarchical Quasi-Cyclic (HQC)
matrix with innovative layering of random sub-matrices. Simulation of a
high-level MATLAB model shows that the proposed HQC matrices have bit error
rate (BER) performance close to that of unstructured random matrices. The
proposed decoder has been implemented on FPGA. It is very resource efficient
and provides very high throughput compared to other decoders reported to date.
Performance evaluation of the decoder has been carried out by transmitting JPEG
images over an AWGN channel and comparing the quality of the reconstructed
images with those from other decoders.


title: Equivariant calculus of functors and Z/2-analyticity of real K-theory

abstract:
  We define a theory of Goodwillie calculus for enriched functors from finite
pointed simplicial G-sets to symmetric G-spectra, where G is a finite group. We
extend a notion of G-linearity suggested by Blumberg to define stably excisive
and rho-analytic homotopy functors, as well as a G-differential, in this
equivariant context. A main result of the paper is that analytic functors with
trivial derivatives send highly connected G-maps to G-equivalences. It is
analogous to the classical result of Goodwillie that "functors with zero
derivative are locally constant". As main example we show that Hesselholt and
Madsen's Real algebraic K-theory of a split square zero extension of Wall
antistructures defines an analytic functor in the Z/2-equivariant setting. We
further show that the equivariant derivative of this Real K-theory functor is
Z/2-equivalent to Real MacLane homology.


title:
Mapping lunar surface chemistry: new prospects with the Chandrayaan-2
  Large Area Soft x-ray Spectrometer (CLASS)

abstract:
  Surface chemistry of airless bodies in the solar system can be derived from
remote x-ray spectral measurements from an orbiting spacecraft. X- rays from
planetary surfaces are excited primarily by solar x-rays. Several experiments
in the past have used this technique of x-ray fluorescence for deriving
abundances of the major rock forming elements. The Chandrayaan- 2 orbiter
carries an x-ray fluorescence experiment named CLASS that is designed based on
results from its predecessor C1XS flown on Chandrayaan-1. We discuss the new
aspects of lunar science that can be potentially achieved with CLASS.


title: A model of quantum reality

abstract:
  Here we propose a model of particles and fields based on the mathematical
framework of quantum physics. Our model is an interpretation of quantum physics
that treats particles and fields as physically real. We analyze four
experiments on wave-particle duality that pose paradoxes. We show that within
our model these paradoxes are resolved.


title: Beyond Fock space in three dimensional semiclassical gravity

abstract:
  Quantization of relativistic point particles coupled to three-dimensional
Einstein gravity naturally leads to field theories living on the Lorentz group
in their momentum representation. The Lie group structure of momentum space can
be traced back to the classical phase space of the particles coupled to
topological gravity. In this work we show how the non-trivial structure of
momentum space leads to an unusual description of Fock space. The latter is
reflected in a deformed algebra of creation and annihilation operators which
reduces to the ordinary algebra when momentum space "flattens" to Minkowski
space in the limit in which the three-dimensional Newton's constant vanishes.
The construction is covariant under the action of relativistic symmetries
acting on the Lorentz group-momentum space. This shows how it is possible to
build a Fock space on a group manifold momentum space in a way consistent with
the underlying (deformed) relativistic symmetries.


title: Gaussian multiplicative chaos and applications: a review

abstract:
  In this article, we review the theory of Gaussian multiplicative chaos
initially introduced by Kahane's seminal work in 1985. Though this beautiful
paper faded from memory until recently, it already contains ideas and results
that are nowadays under active investigation, like the construction of the
Liouville measure in 2d-Liouville quantum gravity or thick points of the
Gaussian Free Field. Also, we mention important extensions and generalizations
of this theory that have emerged ever since and discuss a whole family of
applications, ranging from finance, through the Kolmogorov-Obukhov model of
turbulence to 2d-Liouville quantum gravity. This review also includes new
results like the convergence of discretized Liouville measures on isoradial
graphs (thus including the triangle and square lattices) towards the continuous
Liouville measures (in the subcritical and critical case) or multifractal
analysis of the measures in all dimensions.


title: Large deviations for heavy-tailed random elements in convex cones

abstract:
  We prove large deviation results for sums of heavy-tailed random elements in
rather general convex cones being semigroups equipped with a rescaling
operation by positive real numbers. In difference to previous results for the
cone of convex sets, our technique does not use the embedding of cones in
linear spaces. Examples include the cone of convex sets with the Minkowski
addition, positive half-line with maximum operation and the family of square
integrable functions with arithmetic addition and argument rescaling.


title: Evaluating Laguerre-Gaussian beams with an invariant parameter

abstract:
  We define a new parameter about Laguerre-Gaussian (LG) beams, named
$Q^{l}_{p}$, which is only related to mode indices $p$ and $l$. This parameter
is able to both evaluate and distinguish LG beams. The $Q^{l}_{p}$ values are
first calculated theoretically and then measured experimentally for several
different LG beams. Another mode quality parameter, $ M^{2} $ value, is also
measured. The comparison between $Q^{l}_{p}$ and $ M^{2}$ shows same trend for
the quality of LG mode, while the measurement of $Q^{l}_{p}$ is much easier
than $ M^{2}$.


title: Generalized Fourier series and shift-invariant subspaces

abstract:
  A principal shift invariant subspace of $L^{2}(\IR)$ is isometric to a
weighted norm space $L^{2}(\IT, w)$. Using results obtained earlier by the
author on the basis properties of subsystems of the trigonometric system in the
weighted norm spaces $L^{2}(\IT, w)$ we obtain corresponding results concerning
generators of principal shift invariant subspaces.


title:
Long-range multipartite entanglement close to a first order quantum
  phase transition

abstract:
  We provide insight in the quantum correlations structure present in strongly
correlated systems beyond the standard framework of bipartite entanglement. To
this aim we first exploit rotationally invariant states as a test bed to detect
genuine tripartite entanglement beyond the nearest-neighbor in spin-1/2 models.
Then we construct in a closed analytical form a family of entanglement
witnesses which provides a sufficient condition to determine if a state of a
many-body system formed by an arbitrary number of spin-1/2 particles possesses
genuine tripartite entanglement, independently of the details of the model. We
illustrate our method by analyzing in detail the anisotropic XXZ spin chain
close to its phase transitions, where we demonstrate the presence of long range
multipartite entanglement near the critical point and the breaking of the
symmetries associated to the quantum phase transition.


title: Phase Retrieval By Projections

abstract:
  The problem of recovering a vector from the absolute values of its inner
products against a family of measurement vectors has been well studied in
mathematics and engineering. A generalization of this phase retrieval problem
also exists in engineering: recovering a vector from measurements consisting of
norms of its orthogonal projections onto a family of subspaces. There exist
semidefinite programming algorithms to solve this problem, but much remains
unknown for this more general case. Can families of subspaces for which such
measurements are injective be completely classified? What is the minimal number
of subspaces required to have injectivity? How closely does this problem
compare to the usual phase retrieval problem with families of measurement
vectors? In this paper, we answer or make incremental steps toward these
questions. We provide several characterizations of subspaces which yield
injective measurements, and through a concrete construction, we prove the
surprising result that phase retrieval can be achieved with $2M-1$ projections
of arbitrary rank in $\HH_M$.
  Finally we present several open problems as we discuss issues unique to the
phase retrieval problem with subspaces.


title: A Tale Of Two Amplitudes In High Energy Physics

abstract:
  (abbreviated) I will describe my work on proton Compton scattering in a
Unified Proton-Delta theory and on the computation of scattering amplitudes in
Yang-Mills theory.
  We study proton Compton scattering in the first resonance region in an
effective field theory approach with adviser Dr. Konstantin G. Savvidy. Proton
and $\Delta^+$ are naturally unified in the generalized Rarita-Schwinger theory
proposed by Savvidy. We introduce six non-minimal electromagnetic
interactions--with their coefficients being called "form factors"--and bare
polarizabilities in an effective Lagrangian. We express proton and Delta
magnetic moments and the electromagnetic polarizabilities in terms of the bare
polarizabilities and the form factors. We fit the form factors and bare
polarizabilities using experimental data and derive Delta magnetic moment from
the best fit values of the parameters.
  Then I present our joint work with adviser Dr. Gang Chen on the study of
boundary behavior of off-shell Yang-Mills amplitudes with a pair of external
momenta complexified. In Feynman gauge, we introduce a set of "reduced
vertices" which can capture the boundary behavior up to the first two leading
orders. We then prove a theorem on permutation sum for a given color ordering,
and use it to analyze the boundary behavior of amplitudes with two non-adjacent
legs complexified. Then we construct off-shell Britto-Cachazo-Feng-Witten
(BCFW) recursion relations and study relations between off-shell amplitudes.
  Finally, we study the recursion relations for off-shell Yang-Mills amplitudes
at tree and one loop levels as deduced from imposing complexified Ward
identity, also in collaboration with Dr. Gang Chen.


title:
Detecting hierarchical and overlapping network communities using locally
  optimal modularity changes

abstract:
  Agglomerative clustering is a well established strategy for identifying
communities in networks. Communities are successively merged into larger
communities, coarsening a network of actors into a more manageable network of
communities. The order in which merges should occur is not in general clear,
necessitating heuristics for selecting pairs of communities to merge. We
describe a hierarchical clustering algorithm based on a local optimality
property. For each edge in the network, we associate the modularity change for
merging the communities it links. For each community vertex, we call the
preferred edge that edge for which the modularity change is maximal. When an
edge is preferred by both vertices that it links, it appears to be the optimal
choice from the local viewpoint. We use the locally optimal edges to define the
algorithm: simultaneously merge all pairs of communities that are connected by
locally optimal edges that would increase the modularity, redetermining the
locally optimal edges after each step and continuing so long as the modularity
can be further increased. We apply the algorithm to model and empirical
networks, demonstrating that it can efficiently produce high-quality community
solutions. We relate the performance and implementation details to the
structure of the resulting community hierarchies. We additionally consider a
complementary local clustering algorithm, describing how to identify
overlapping communities based on the local optimality condition.


title:
Integration of Wireless Sensor Networks with Virtual Instrumentation in
  a Residential Environment

abstract:
  This paper presents an approach to integrate wireless sensor networks (WSN)
with the LabVIEW graphical development environment through a dedicated software
driver. As personal constribution, a system architecture and concept
implementation are described, in the context of a smart house monitoring
scenario. Data acquisition is performed via the deployed wireless sensor
network with focus on three main parameters: temperature, humidity and light.
The data logging, monitoring and control functions are realized through a
virtual instrumentation project. This also enables an easy-to-use user
interface and the accesibility of data through standards-based web server
technologies. The potential of remote monitoring and control through mobile
terminals is opened up.


title:
Thermal entanglement in the mixed three spin XXZ Heisenberg Model on a
  triangular cell

abstract:
  We numerically investigate thermal entanglement of the spins (1/2,1) and
(1/2,1/2) in the three-mixed (1/2,1,1/2) anisotropic Heisenberg XXZ spin system
on a simple triangular cell under an inhomogeneous magnetic field. We show that
the external magnetic field induces strong plateau formation in pairwise
thermal entanglement for fixed parameters of Hamiltonian in the case of the
ferromagnetic and anti-ferromagnetic interactions. We also observe an
unexpected critical point at finite temperature in the thermal entanglement of
the spins (1/2,1) for antiferromagnetic case while the entanglement of the
spins (1/2,1) for ferromagnetic case and the entanglement of the spins
(1/2,1/2) for both ferromagnetic and antiferromagnetic cases almost decays
exponentially to zero with increasing temperature. The critical point in
entanglement of the spins (1/2,1) for antiferromagnetic case may be signature
of the quantum phase transition at finite temperature.


title: Evolutionary Predictability and Complications with Additivity

abstract:
  Adaptation is a central topic in theoretical biology, of practical importance
for analyzing drug resistance mutations. Several authors have used arguments
based on extreme value theory in their work on adaptation. There are
complications with these approaches if fitness is additive (meaning that
fitness effects of mutations sum), or whenever there is more additivity than
what one would expect in an uncorrelated fitness landscape. However, the
approaches have been used in published work, even in situations with
substantial amounts of additivity. In particular, extreme value theory has been
used in discussions on evolutionary predictability. We say that evolution is
predictable if the use of a particular drug at different locations tends lead
to the same resistance mutations. Evolutionary predictability depends on the
probabilities of mutational trajectories. Arguments about probabilities based
on extreme value theory can be misleading. Additivity may cause errors in
estimates of the probabilities of some mutational trajectories by a factor 20
even for rather small examples. We show that additivity gives systematic errors
so as to exaggerate the differences between the most and the least likely
trajectory. As a result of this bias, evolution may appear more predictable
than it is. From a broader perspective, our results suggest that approaches
which depend on the Orr-Gillespie theory are likely to give misleading results
for realistic fitness landscapes whenever one considers adaptation in several
steps.


title:
Simultaneous XMM-Newton and HST-COS observation of 1H0419-577: the
  absorbing and emitting ionized gas

abstract:
  In this paper we analyze the X-ray, UV and optical data of the Seyfert 1.5
galaxy 1H0419-577, with the aim of detecting and studying an ionized-gas
outflow. The source was observed simultaneously in the X-rays with XMM and in
the UV with HST-COS. Optical data were also acquired with the XMM Optical
Monitor. We detected a thin, lowly ionized warm absorber (log xi ~ 0.03, log NH
~19.9 cm^-2) in the X-ray spectrum, consistent to be produced by the same
outflow already detected in the UV. Provided the gas density estimated in the
UV, the outflow is consistent to be located in the host galaxy, at ~ kpc scale.
Narrow emission lines were detected in the X-rays, in the UV and also in the
optical spectrum. A single photoionized-gas model cannot account for all the
narrow lines emission, indicating that the narrow line region is probably a
stratified environment, differing in density and ionization. X-ray lines are
unambiguously produced in a more highly ionized gas phase than the one emitting
the UV lines. The analysis suggests also that the X-ray emitter may be just a
deeper portion of the same gas layer producing the UV lines. Optical lines are
probably produced in another, disconnected gas system. The different ionization
condition, and the ~ pc scale location suggested by the line width for the
narrow lines emitters, argue against a connection between the warm absorber and
the narrow line region in this source.


title:
Electron energy-loss and inelastic X-ray scattering cross sections from
  time-dependent density-functional perturbation theory

abstract:
  The Liouville-Lanczos approach to linear-response time-dependent
density-functional theory is generalized so as to encompass electron
energy-loss and inelastic X-ray scattering spectroscopies in periodic solids.
The computation of virtual orbitals and the manipulation of large matrices are
avoided by adopting a representation of response orbitals borrowed from
(time-independent) density-functional perturbation theory and a suitable
Lanczos recursion scheme. The latter allows the bulk of the numerical work to
be performed at any given transferred momentum only once, for a whole extended
frequency range. The numerical complexity of the method is thus greatly
reduced, making the computation of the loss function over a wide frequency
range at any given transferred momentum only slightly more expensive than a
single standard ground-state calculation, and opening the way to computations
for systems of unprecedented size and complexity. Our method is validated on
the paradigmatic examples of bulk silicon and aluminum, for which both
experimental and theoretical results already exist in the literature.


title: Single-particle potential from resummed ladder diagrams

abstract:
  A recent work on the resummation of fermionic in-medium ladder diagrams to
all orders is extended by calculating the complex single-particle potential
$U(p,k_f)+ i\,W(p,k_f)$ for momenta $p<k_f$ as well as $p>k_f$. The on-shell
single-particle potential is constructed by means of a complex-valued in-medium
loop that includes corrections from a test-particle of momentum $\vec p$ added
to the filled Fermi sea. The single-particle potential $U(k_f,k_f)$ at the
Fermi surface as obtained from the resummation of the combined particle and
hole ladder diagrams is shown to satisfy the Hugenholtz-Van-Hove theorem. The
perturbative contributions at various orders $a^n$ in the scattering length are
deduced and checked against the known analytical results at order $a^1$ and
$a^2$. The limit $a\to\infty$ is studied as a special case and a strong
momentum dependence of the real (and imaginary) single-particle potential is
found. This indicates an instability against a phase transition to a state with
an empty shell inside the Fermi sphere such that the density gets reduced by
about 5%. For comparison, the same analysis is performed for the resummed
particle-particle ladder diagrams alone. In this truncation an instability for
hole-excitations near the Fermi surface is found at strong coupling. For the
set of particle-hole ring diagrams the single-particle potential is calculated
as well. Furthermore, the resummation of in-medium ladder diagrams to all
orders is studied for a two-dimensional Fermi gas with a short-range two-body
contact-interaction.


title: A note on Aubin-Lions-Dubinskii lemmas

abstract:
  Strong compactness results for families of functions in seminormed
nonnegative cones in the spirit of the Aubin-Lions-Dubinski\u{\i} lemma are
proven, refining some recent results in the literature. The first theorem
sharpens slightly a result of Dubinski\u{\i} (1965) for seminormed cones. The
second theorem applies to piecewise constant functions in time and sharpens
slightly the results of Dreher and J\"ungel (2012) and Chen and Liu (2012). An
application is given, which is useful in the study of porous-medium or
fast-diffusion type equations.


title:
Exponential decay for the linear Zakharov-Kuznetsov equation without
  critical domains restrictions

abstract:
  Initial-boundary value problems for the linear Zakharov-Kuznetsov equation
posed on bounded rectangles are considered. Spectral properties of a stationary
operator are studied in order to show that the evolution problem posed on a
bounded rectangle has no critical restrictions on its size. Exponential decay
of regular solutions is established.


title: On some Diophantine systems involving symmetric polynomials

abstract:
  Let $\sigma_{i}(x_{1},\ldots, x_{n})=\sum_{1\leq k_{1}<k_{2}<\ldots
<k_{i}\leq n}x_{k_{1}}\ldots x_{k_{i}}$ be the $i$-th elementary symmetric
polynomial. In this note we generalize and extend the results obtained in a
recent work of Zhang and Cai \cite{ZC,ZC2}. More precisely, we prove that for
each $n\geq 4$ and rational numbers $a, b$ with $ab\neq 0$, the system of
diophantine equations \begin{equation*}
  \sigma_{1}(x_{1},\ldots, x_{n})=a, \quad \sigma_{n}(x_{1},\ldots, x_{n})=b,
\end{equation*} has infinitely many solutions depending on $n-3$ free
parameters. A similar result is proved for the system \begin{equation*}
  \sigma_{i}(x_{1},\ldots, x_{n})=a, \quad \sigma_{n}(x_{1},\ldots, x_{n})=b,
\end{equation*} with $n\geq 4$ and $2\leq i< n$. Here, $a, b$ are rational
numbers with $b\neq 0$.
  We also give some results concerning the general system of the form
\begin{equation*}
  \sigma_{i}(x_{1},\ldots, x_{n})=a, \quad \sigma_{j}(x_{1},\ldots, x_{n})=b,
\end{equation*} with suitably chosen rational values of $a, b$ and $i<j<n$.
Finally, we present some remarks on the systems involving three different
symmetric polynomials.


title: Extended Lambek calculi and first-order linear logic

abstract:
  First-order multiplicative intuitionistic linear logic (MILL1) can be seen as
an extension of the Lambek calculus. In addition to the fragment of MILL1 which
corresponds to the Lambek calculus (of Moot & Piazza 2001), I will show
fragments of MILL1 which generate the multiple context-free languages and which
correspond to the Displacement calculus of Morrilll e.a.


title:
Optimal rates of convergence for persistence diagrams in Topological
  Data Analysis

abstract:
  Computational topology has recently known an important development toward
data analysis, giving birth to the field of topological data analysis.
Topological persistence, or persistent homology, appears as a fundamental tool
in this field. In this paper, we study topological persistence in general
metric spaces, with a statistical approach. We show that the use of persistent
homology can be naturally considered in general statistical frameworks and
persistence diagrams can be used as statistics with interesting convergence
properties. Some numerical experiments are performed in various contexts to
illustrate our results.


title:
Ultra High Thermal Resolution Scanning Probe Microscopy via Carbon
  Nanotube Tipped Thermal Probes

abstract:
  We present a new concept of scanning thermal nanoprobe that utilizes the
extreme thermal conductance of a carbon nanotube (CNT) to channel heat between
the probe and the sample. The integration of CNT in scanning thermal microscopy
(SThM) overcomes the main drawbacks of standard SThM probes, where the low
thermal conductance of the apex SThM probe is the main limiting factor. The
integration of CNT (CNT- SThM) extends SThM sensitivity to thermal transport
measurement in higher thermal conductivity materials such as metals,
semiconductors and ceramics, while also improving the spatial resolution.
Investigation of thermal transport in ultra large scale integration (ULSI)
interconnects, using CNT- SThM probe, showed fine details of heat transport in
ceramic layer, vital for mitigating electromigration in ULSI metallic current
leads. For a few layer graphene, the heat transport sensitivity and spatial
resolution of the CNT-SThM probe demonstrated significantly superior thermal
resolution compared to that of standard SThM probes achieving 20-30 nm
topography and ~30 nm thermal spatial resolution compared to 50-100 nm for
standard SThM probes. The outstanding axial thermal conductivity, high aspect
ratio and robustness of CNTs can make CNT-SThM the perfect thermal probe for
the measurement of nanoscale thermophysical properties and an excellent
candidate for the next generation of thermal microscopes.


title: A note on Diophantine systems involving three symmetric polynomials

abstract:
  Let $\bar{X}_{n}=(x_{1},\ldots,x_{n})$ and $\sigma_{i}(\bar{X}_{n})=\sum
x_{k_{1}}\ldots x_{k_{i}}$ be $i$-th elementary symmetric polynomial. In this
note we prove that there are infinitely many triples of integers $a, b, c$ such
that for each $1\leq i\leq n$ the system of Diophantine equations
\begin{equation*}
  \sigma_{i}(\bar{X}_{2n})=a, \quad \sigma_{2n-i}(\bar{X}_{2n})=b, \quad
\sigma_{2n}(\bar{X}_{2n})=c \end{equation*} has infinitely many rational
solutions. This result extend the recent results of Zhang and Cai, and the
author. Moreover, we also consider some Diophantine systems involving sums of
powers. In particular, we prove that for each $k$ there are at least $k$
$n$-tuples of integers with the same sum of $i$-th powers for $i=1,2,3$.
Similar result is proved for $i=1,2,4$ and $i=-1,1,2$.


title: Rational solutions of certain Diophantine equations involving norms

abstract:
  In this note we present some results concerning the unirationality of the
algebraic variety $\cal{S}_{f}$ given by the equation \begin{equation*}
N_{K/k}(X_{1}+\alpha X_{2}+\alpha^2 X_{3})=f(t), \end{equation*} where $k$ is a
number field, $K=k(\alpha)$, $\alpha$ is a root of an irreducible polynomial
$h(x)=x^3+ax+b\in k[x]$ and $f\in k[t]$. We are mainly interested in the case
of pure cubic extensions, i.e. $a=0$ and $b\in k\setminus k^{3}$. We prove that
if $\op{deg}f=4$ and the variety $\cal{S}_{f}$ contains a $k$-rational point
$(x_{0},y_{0},z_{0},t_{0})$ with $f(t_{0})\neq 0$, then $\cal{S}_{f}$ is
$k$-unirational. A similar result is proved for a broad family of quintic
polynomials $f$ satisfying some mild conditions (for example this family
contains all irreducible polynomials). Moreover, the unirationality of
$\cal{S}_{f}$ (with non-trivial $k$-rational point) is proved for any
polynomial $f$ of degree 6 with $f$ not equivalent to the polynomial $h$
satisfying the condition $h(t)\neq h(\zeta_{3}t)$, where $\zeta_{3}$ is the
primitive third root of unity. We are able to prove the same result for an
extension of degree 3 generated by the root of polynomial $h(x)=x^3+ax+b\in
k[x]$, provided that $f(t)=t^6+a_{4}t^4+a_{1}t+a_{0}\in k[t]$ with
$a_{1}a_{4}\neq 0$.


title:
Astrochemistry: the issue of molecular complexity in astrophysical
  environments

abstract:
  Astrochemistry aims at studying chemical processes in astronomical
environments. This discipline -- located at the crossroad between astrophysics
and chemistry -- is rapidly evolving and explores the issue of the formation of
molecules of increasing complexity in particular physical conditions that
deviate significantly from those frequently encountered in chemistry
laboratories. The main goal of this paper is to provide an overview of this
discipline. So far, about 170 molecules have been identified in the
interstellar medium (ISM). The presence of this molecular diversity constitutes
a firm evidence that efficient formation processes are at work in the
interstellar medium. This paper aims at summarizing most of present ideas that
are explored by astrochemists to investigate the chemistry taking place in
various astronomical environments, with emphasis on the particular conditions
which are met in space (including radiation fields, cosmic-rays, low
densities...). The more ambitious question of the molecular complexity is
addressed following two approaches presented to be converging. The first
approach considers the growing complexity starting from the most simple
chemical species in interstellar environments, and the second approach
envisages successive precursors of the most complex species commonly found on
Earth, and in particular in our biochemistry. The issue of molecular complexity
constitutes one of the main modern scientific questions addressed by
astrochemistry, and it is used as a guideline across this paper.


title:
Easily Implemented Rate Compatible Reconciliation Protocol for Quantum
  Key Distribution

abstract:
  Reconciliation is an important step to correct errors in Quantum Key
Distribution (QKD). In QKD, after comparing basis, two legitimate parties
possess two correlative keys which have some differences and they could obtain
identical keys through reconciliation. In this paper, we present a new rate
compatible reconciliation scheme based on Row Combining with Edge Variation
(RCEV) Low Density Parity Check (LDPC) codes which could change code rate
adaptively in noisy channel where error rate may change with time. Our scheme
is easy to implement and could get good efficiency compared to existing
schemes. Meanwhile, due to the inherent structure we use, the new scheme not
only saves memory space remarkably but also simplifies the decoder architecture
and accelerates the decoding.


title: L\'evy processes with marked jumps I : Limit theorems

abstract:
  Consider a sequence (Z_n,Z_n^M) of bivariate L\'evy processes, such that Z_n
is a spectrally positive L\'evy process with finite variation, and Z_n^M is the
counting process of marks in {0,1} carried by the jumps of Z_n. The study of
these processes is justified by their interpretation as contour processes of a
sequence of splitting trees with mutations at birth. Indeed, this paper is the
first part of a work aiming to establish an invariance principle for the
genealogies of such populations enriched with their mutational histories. To
this aim, we define a bivariate subordinator that we call the marked ladder
height process of (Z_n,Z_n^M), as a generalization of the classical ladder
height process to our L\'evy processes with marked jumps. Assuming that the
sequence (Z_n) converges towards a L\'evy process Z with infinite variation, we
first prove the convergence in distribution, with two possible regimes for the
marks, of the marked ladder height process of (Z_n,Z_n^M). Then we prove the
joint convergence in law of Z_n with its local time at the supremum and its
marked ladder height process.


title:
Controlling light in scattering media noninvasively using the
  photo-acoustic transmission-matrix

abstract:
  Optical wavefront-shaping has emerged as a powerful tool to manipulate light
in strongly scattering media. It enables diffraction-limited focusing and
imaging at depths where conventional microscopy techniques fail. However, while
most wavefront-shaping works to-date exploited direct access to the target or
implanted probes, the challenge is to apply it non-invasively inside complex
samples. Ultrasonic-tagging techniques have been recently demonstrated but
these require a sequential point-by- point acquisition, a major drawback for
imaging applications. Here, we introduce a novel approach to non-invasively
measure the optical transmission-matrix inside a scattering medium, exploiting
the photo-acoustic effect. Our approach allows for the first time to
simultaneously discriminate, localize, and selectively focus light on multiple
targets inside a scattering sample, as well as to recover and exploit the
scattering medium properties. Combining the powerful approach of the
transmission-matrix with the advantages of photoacoustic imaging opens the path
towards deep-tissue imaging and light-delivery utilizing endogenous optical
contrast.


title: A note on products involving zeta(3) and Catalan's constant

abstract:
  In a recent paper Kachi and Tzermias give elementary proofs of four product
formulas involving zeta(3), pi, and Catalan's constant. They indicate that they
were not able to deduce these products directly from the values of a function
introduced in 1993 by Borwein and Dykshoorn. We provide here such a proof for
two of these formulas. We also give a direct proof for the other two formulas,
by using a generalization of the Borwein-Dykshoorn function due to Adamchik.
Finally we give an expression of the Borwein-Dykshoorn function in terms of the
"parameterized-Euler-constant function" introduced by Xia in 2013, which
happens to be a particular case of the "generalized Euler constant function"
introduced by K. and T. Hessami Pilehrood in 2010.


title: Average yielding and weakest link statistics in micron-scale plasticity

abstract:
  Micron-scale single crystalline materials deform plastically via large
intermittent strain bursts that make the deformation process unpredictable.
Here we investigate this stochastic phenomenon by analysing the plastic
response of an ensemble of specimens differing only in the initial arrangement
of dislocations. We apply discrete dislocation dynamics simulations and
microcompression tests on identically fabricated Cu single crystalline
micropillars. We find that a characteristic yield stress can be defined in the
average sense for a given specimen ensemble, where the average and the variance
of the plastic strain start to increase considerably. In addition, in all
studied cases the stress values at a given strain follow a Weibull distribution
with similar Weibull exponents, which suggests that dislocation-mediated
plastic yielding is characterized by an underlying weakest-link phenomenon.
These results are found not to depend on fine details of the actual set-up,
rather, they represent general features of micron-scale plasticity.


title:
A class of equivalent idle-time-order-based routing policies for
  heterogeneous multi-server systems

abstract:
  We consider an M/M/N/K/FCFS system (N>0, K>=N), where the servers operate at
(possibly) heterogeneous service rates. In this situation, the steady state
behavior depends on the routing policy that is used to select which idle server
serves the next job in queue. We define a class of idle-time-order-based
policies (including, for example, Longest Idle Server First (LISF)) and show
that all policies in this class result in the same steady state behavior. In
particular, they are all equivalent to the naive Random routing policy.


title:
Trade-off between Performance and Reversibility of Entanglement
  Concentration for Pure Entangled State

abstract:
  In quantum information theory, it is widely believed that entanglement
concentration for bipartite pure states is asymptotically reversible. In order
to examine this, we give a precise formulation of the problem, and show a
trade-off relation between performance and reversibility, which implies the
irreversibility of entanglement concentration. Then, we regard entanglement
concentration as entangled state compression in an entanglement storage with
lower dimension. Because of the irreversibility of entanglement concentration,
an initial state can not be completely recovered after the compression process
and a loss inevitably arises in the process. We numerically calculate this loss
and also derive for it a highly accurate analytical approximation.


title:
A Liouville comparison principle for weak solutions of semilinear
  parabolic second-order partial differential inequalities in the whole space

abstract:
  We obtain a new Liouville comparison principle for weak solutions $(u,v)$ of
semilinear parabolic second-order partial differential inequalities of the form
$$u_t -{\mathcal L}u- |u|^{q-1}u\geq v_t -{\mathcal L}v- |v|^{q-1}v (*)$$ in
the whole space ${\mathbb E} = {\mathbb R} \times \mathbb R^n$. Here, $n\geq
1$, $q>0$ and $$ {\mathcal
L}=\sum\limits_{i,j=1}^n\frac{\partial}{{\partial}x_i}\left [ a_{ij}(t, x)
\frac{\partial}{{\partial}x_j}\right],$$ where $a_{ij}(t,x)$, $i,j=1,\dots,n$,
are functions that are defined, measurable and locally bounded in $\mathbb E$,
and such that $a_{ij}(t,x)=a_{ji}(t,x)$ and $$ \sum_{i,j=1}^n
a_{ij}(t,x)\xi_i\xi_j\geq 0 $$ for almost all $(t,x)\in \mathbb E$ and all $\xi
\in \mathbb R^n$. We show that the critical exponents in the Liouville
comparison principle obtained, which are responsible for the non-existence of
non-trivial (i.e., such that $u\not \equiv v$) weak solutions to (*) in the
whole space $\mathbb E$, depend on the behavior of the coefficients of the
operator $\mathcal L$ at infinity and coincide with those obtained for
solutions of (*) in the half-space ${\mathbb R}_+\times {\mathbb R}^n$. As
direct corollaries we obtain new Liouville-type theorems for non-negative weak
solutions $u$ of the inequality (*) in the whole space $\mathbb E$ in the case
when $v\equiv 0$. All the results obtained are new and sharp.


title:
Free field representation and form factors of the chiral Gross-Neveu
  model

abstract:
  The free field representation of the Zamolodchikov-Faddeev algebra for the
chiral Gross-Neveu model is analysed in detail, and used to construct an
integral representation for form factors of the model.


title:
Twisted space-time reduced model of large N QCD with two adjoint Wilson
  fermions

abstract:
  The space-time reduced model of large N QCD with two adjoint Wilson fermions
is constructed by applying the symmetric twist boundary conditions with
non-vanishing flux $k$. For large but finite $N=L^2$, the model should behave
as the large N version of the ordinary lattice gauge model on a $V=L^4$
space-time volume. We perform a comparison of the $N$ dependence of several
quantities in this model and in the $k$=0 model (corresponding to periodic
boundary conditions). Although the Z$^4$(N) symmetry seems unbroken in all
cases, the N-dependence analysis favours the use of the same values of $k$ and
$L$ for which the symmetry is also unbroken in the pure gauge case. In
particular, the $k=0$ model, studied recently by several authors, shows a large
and irregular dependence on $N$ within our region of parameters. This makes
this reduced model very impractical for extracting physical information about
the large N lattice theory. On the contrary, the model for $N=289=17^2$ and
large enough $k$ gives consistent results, even for extended observables as
Wilson loops $W(R,T)$ up to $R,T$=8, matching the expected behaviour for the
lattice model with a $17^4$ space-time volume.


title:
A Stochastic Geometry Framework for Analyzing Pairwise-Cooperative
  Cellular Networks

abstract:
  Cooperation in cellular networks has been recently suggested as a promising
scheme to improve system performance, especially for cell-edge users. In this
work, we use stochastic geometry to analyze cooperation models where the
positions of Base Stations (BSs) follow a Poisson point process distribution
and where Voronoi cells define the planar areas associated with them. For the
service of each user, either one or two BSs are involved. If two, these
cooperate by exchange of user data and channel related information with
conferencing over some backhaul link. Our framework generally allows variable
levels of channel information at the transmitters. In this paper we investigate
the case of limited channel state information for cooperation (channel phase,
second neighbour interference), but not the fully adaptive case which would
require considerable feedback. The total per-user transmission power is further
split between the two transmitters and a common message is encoded. The
decision for a user to choose service with or without cooperation is directed
by a family of geometric policies depending on its relative position to its two
closest base stations. An exact expression of the network coverage probability
is derived. Numerical evaluation allows one to analyze significant coverage
benefits compared to the non-cooperative case. As a conclusion, cooperation
schemes can improve system performance without exploitation of extra network
resources.


title:
Understanding the metamagnetic transition and magnetic behavior of
  Ni48Co6Mn26Al20 polycrystalline ribbons

abstract:
  In this work we demonstrate that the polycrystalline ribbons of
(Ni48Co6)Mn26Al20 with B2 structure at room temperature show a magnetic
behavior with competing magnetic exchange interactions leading to frozen
disorders at low temperatures. It is established that by considering the
presence of both antiferromagnetic and ferromagnetic sublattices, we can
explain the observed magnetic behavior including the metamagnetic transition
observed in these samples. From the Arrott plots, the N\'eel temperature of
(Ni48Co6)Mn26Al20 is deduced to be ~170 K and the broad ferro to para like
magnetic phase transition is observed at ~ 200 K. Based on N\'eel theory, a
cluster model is used to explain the presence of ferromagnetic and
anti-ferromagnetic clusters in the studied ribbons. Formation of ferromagnetic
clusters can be understood in terms of positive exchange interactions among the
Mn atoms that are neighboring to Co atoms which are located on the Ni sites.


title:
Comparison of a citation-based indicator and peer review for absolute
  and specific measures of research-group excellence

abstract:
  Many different measures are used to assess academic research excellence and
these are subject to ongoing discussion and debate within the scientometric,
university-management and policy-making communities internationally. One topic
of continued importance is the extent to which citation-based indicators
compare with peer-review-based evaluation. Here we analyse the correlations
between values of a particular citation-based impact indicator and peer-review
scores in several academic disciplines, from natural to social sciences and
humanities. We perform the comparison for research groups rather than for
individuals. We make comparisons on two levels. At an absolute level, we
compare total impact and overall strength of the group as a whole. At a
specific level, we compare academic impact and quality, normalised by the size
of the group. We find very high correlations at the former level for some
disciplines and poor correlations at the latter level for all disciplines. This
means that, although the citation-based scores could help to describe
research-group strength, in particular for the so-called hard sciences, they
should not be used as a proxy for ranking or comparison of research groups.
Moreover, the correlation between peer-evaluated and citation-based scores is
weaker for soft sciences.


title: Studies on the Cherenkov Effect for Improved Time Resolution of TOF-PET

abstract:
  With the newly gained interest in the time of flight method for positron
emission tomography (TOF-PET), many options for pushing the time resolution to
its borders have been investigated. As one of these options the exploitation of
the Cherenkov effect has been proposed, since it allows to bypass the
scintillation process and therefore provides almost instantaneous response to
incident 511keV annihilation photons. Our simulation studies on the yield of
Cherenkov photons, their arrival rate at the photon detector and their angular
distribution reveal a significant influence by Cherenkov photons on the rise
time of inorganic scintillators - a key-parameter for TOF in PET. A measurement
shows the feasibility to detect Cherenkov photons in this low energy range.


title: Influence of Tissue Geometry on Transversal Relaxation

abstract:
  With today's NMR techniques some microscopic geometry of tissue can still not
be resolved directly. Often, there is also a specific off resonance field
related to this geometry. In this work the impact of these off resonances on
the transverse relaxation is investigated. Therefore the Bloch-Torrey Equation
was numerically solved with a Monte Carlo approach, and the feasibility to
deduce information about the geometry of the tissue from the simulated
transverse magnetization rates was analysed.


title: Augmenting transcriptome assembly combinatorially

abstract:
  RNA-seq allows detection and precise quantification of transcripts, provides
comprehensive understanding of exon/intron boundaries, aids discovery of
alternatively spliced isoforms and fusion transcripts along with measurement of
allele-specific expression. Researchers interested in studying and constructing
transcriptomes, especially for non-model species, often face the conundrum of
choosing from a number of available de novo and genome-guided assemblers. A
comprehensive comparative study is required to assess and evaluate their
efficiency and sensitivity for transcript assembly, reconstruction and
recovery. None of the popular assembly tools in use today achieves requisite
sensitivity, specificity or recovery of full-length transcripts on its own.
Hence, it is imperative that methods be developed in order to augment
assemblies generated from multiple tools, with minimal compounding of error.
Here, we present an approach to combinatorially augment transciptome assembly
based on a rigorous comparative study of popular de novo and genome-guided
transcriptome assembly tools.


title: A Hsu-Robbins-Erd\H{o}s strong law in first-passage percolation

abstract:
  Large deviations in the context of first-passage percolation was first
studied in the early 1980s by Grimmett and Kesten, and has since been revisited
in a variety of studies. However, none of these studies provides a precise
relation between the existence of moments of polynomial order and the decay of
probability tails. Such a relation is derived in this paper, and is used to
strengthen the conclusion of the shape theorem. In contrast to its
one-dimensional counterpart - the Hsu-Robbins-Erd\H{o}s strong law - this
strengthening is obtained without imposing a higher-order moment condition.


title: Theory of the Room-Temperature QHE in Graphene

abstract:
  The unusual quantum Hall effect (QHE) in graphene is often discussed in terms
of Dirac fermions moving with a linear dispersion relation. The same phenomenon
will be explained in terms of the more traditional composite bosons, which move
with a linear dispersion relation. The "electron" (wave packet) moves easier in
the direction [1,1,0,c-axis] = [1,1,0] of the honeycomb lattice than
perpendicular to it, while the "hole" moves easier in [0,0,1]. Since
"electrons" and "holes" move in different channels, the number densities can be
high especially when the Fermi surface has "necks". The strong QHE arises from
the phonon exchange attraction in the neighborhood of the "neck" Fermi
surfaces. The plateau observed for the Hall conductivity and the accompanied
resistivity drop is due to the Bose-Einstein condensation of the c-bosons, each
forming from a pair of one-electron--two-fluxons c-fermions by phonon-exchange
attraction.


title:
Kidney branching morphogenesis under the control of a ligand-receptor
  based Turing mechanism

abstract:
  The main signalling proteins that control early kidney branching have been
defined. Yet the underlying mechanism is still elusive. We have previously
shown that a Schnakenberg-type Turing mechanism can recapitulate the branching
and protein expression patterns in wildtype and mutant lungs, but it is unclear
whether this mechanism would extend to other branched organs that are regulated
by other proteins. Here we show that the GDNF-RET regulatory interaction gives
rise to a Schnakenberg-type Turing model that reproduces the observed budding
of the ureteric bud from the Wolffian duct, its invasion into the mesenchyme,
and the observed branching pattern. The model also recapitulates all relevant
protein expression patterns in wild-type and mutant mice. The lung and kidney
models are both based on a particular receptor- ligand interaction and require:
(1) cooperative binding of ligand and receptor, (2) a lower diffusion
coefficient for the receptor than for the ligand, and (3) an increase in the
receptor concentration in response to receptor-ligand binding (by enhanced
transcription, more recycling or similar). These conditions are met also by
other receptor-ligand systems. We propose that ligand-receptor based Turing
patterns represent a general mechanism to control branching morphogenesis and
other developmental processes.


title: Abelian Carter subgroups in finite permutation groups

abstract:
  We show that a finite permutation group containing a regular abelian
self-normalizing subgroup is soluble.


title: Impulsive Ejection of Gas In Bipolar Planetary Nebulae

abstract:
  We simulate the formation of bipolar planetary nebulae (PNe) through very
short impulsive mass ejection events from binary systems, where the asymptotic
giant branch (AGB) star ejects a mass shell that is accelerated by jets
launched from a compact companion. The acceleration process takes place at very
short distances from the binary system, such that the photon-diffusion time is
long enough to prevent rapid cooling of the shocked jets' material. When the
shocked jets' gas density is lower than the shell density the flow becomes
Rayleigh-Taylor unstable and dense clumps are formed in the flow. At later
times a PN with clumpy lobes that have a linear distance-velocity relation will
be observed. This process might account for the formation of bipolar PNe with
clumpy lobes, such as NGC 6302. The energy radiated during the months to years
duration of such an event will appear as an intermediate-luminosity optical
transient (ILOT)


title: Lithiation of silicon via lithium Zintl-defect complexes

abstract:
  An extensive search for low-energy lithium defects in crystalline silicon
using density-functional-theory methods and the ab initio random structure
searching (AIRSS) method shows that the four-lithium-atom substitutional point
defect is exceptionally stable. This defect consists of four lithium atoms with
strong ionic bonds to the four under-coordinated atoms of a silicon vacancy
defect, similar to the bonding of metal ions in Zintl phases. This complex is
stable over a range of silicon environments, indicating that it may aid
amorphization of crystalline silicon and form upon delithiation of the silicon
anode of a Li-ion rechargeable battery.


title: Constraining Inert Dark Matter by R_{\gamma\gamma} and WMAP data

abstract:
  We discuss the constraints on the Dark Matter coming from the LHC Higgs data
and WMAP relic density measurements for the Inert Doublet Model (IDM), which is
one of the simplest extensions of the Standard Model providing a Dark Matter
(DM) candidate. We found that combining the diphoton rate R_{\gamma\gamma} and
the \Omega_{DM}h^2 data one can set strong limits on the parameter space of the
IDM, stronger or comparable to the constraints provided by XENON100 experiment
for low and medium DM mass.


title: Spectral Curve of the Halphen Operator

abstract:
  The Halphen operator is a third-order operator of the form $$
  L_3=\partial_x^3-g(g+2)\wp(x)\partial_x-\frac{1}{2}g(g+2)\wp'(x), $$ where
$g\ne 2\,\mbox{mod(3)}$, the Weierstrass $\wp$-function satisfies the equation
$$
  (\wp'(x))^2=4\wp^3(x)-g_2\wp(x)-g_3. $$ In the equianharmonic case, i.e.,
$g_2=0$ the Halphen operator commutes with some ordinary differential operator
$L_n$ of order $n\ne 0\,\mbox{mod(3)}.$ In this paper we find the spectral
curve of the pair $L_3,L_n$.


title: A geometric definition of Gabrielov numbers

abstract:
  Gabrielov numbers describe certain Coxeter-Dynkin diagrams of the 14
exceptional unimodal singularities and play a role in Arnold's strange duality.
In a previous paper, the authors defined Gabrielov numbers of a cusp
singularity with an action of a finite abelian subgroup $G$ of ${\rm
SL}(3,\CC)$ using the Gabrielov numbers of the cusp singularity and data of the
group $G$. Here we consider a crepant resolution $Y \to \CC^3/G$ and the
preimage $Z$ of the image of the Milnor fibre of the cusp singularity under the
natural projection $\CC^3 \to \CC^3/G$. Using the McKay correspondence, we
compute the homology of the pair $(Y,Z)$. We construct a basis of the relative
homology group $H_3(Y,Z;\QQ)$ with a Coxeter-Dynkin diagram where one can read
off the Gabrielov numbers.


title:
Hall equilibria with toroidal and poloidal fields: application to
  neutron stars

abstract:
  We present solutions for Hall equilibria applicable to neutron star crusts.
Such magnetic configurations satisfy a Grad-Shafranov-type equation, which is
solved analytically and numerically. The solutions presented cover a variety of
configurations, from purely poloidal fields connected to an external dipole to
poloidal-toroidal fields connected to an external vacuum field, or fully
confined within the star. We find that a dipole external field should be
supported by a uniformly rotating electron fluid. The energy of the toroidal
magnetic field is generally found to be a few percent of the total magnetic
field energy for the fields with an external component. We discuss the
evolution due to Ohmic dissipation which leads to slowing down of the electron
fluid. We also find that the transition from an MHD equilibrium to a state
governed by Hall effect, generates spontaneously an additional toroidal field
in regions where the electron fraction changes.


title: Vortex Loops and Majoranas

abstract:
  We investigate the role that vortex loops play in characterizing eigenstates
of interacting Majoranas. We first give some general results, and then we focus
on ladder Hamiltonian examples to test further ideas. Two methods yield exact
results: i.) We utilize the mapping of spin Hamiltonians to quartic
interactions of Majoranas and show under certain conditions the spectra of
these two examples coincide. ii) In cases with reflection-symmetric
Hamiltonians, we use reflection positivity for Majoranas to characterize
vortices. Aside from these exact results, two additional methods suggest wider
applicability of these results: iii.) Numerical evidence suggests similar
behavior for certain systems without reflection symmetry. iv.) A perturbative
analysis also suggests similar behavior without the assumption of reflection
symmetry.

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


title: Symmetry breaking in a constrained Cheeger type isoperimetric inequality

abstract:
  We study the optimal constant in a Sobolev inequality for BV functions with
zero mean value and vanishing outside a bounded open set. We are interested in
finding the best possible embedding constant in terms of the measure of the
domain alone. We set up an optimal shape problem and we completely characterize
the behavior of optimal domains.


title: From constants of motion to superposition rules for Lie-Hamilton systems

abstract:
  A Lie system is a nonautonomous system of first-order differential equations
possessing a superposition rule, i.e. a map expressing its general solution in
terms of a generic finite family of particular solutions and some constants.
Lie-Hamilton systems form a subclass of Lie systems whose dynamics is governed
by a curve in a finite-dimensional real Lie algebra of functions on a Poisson
manifold. It is shown that Lie-Hamilton systems are naturally endowed with a
Poisson coalgebra structure. This allows us to devise methods to derive in an
algebraic way their constants of motion and superposition rules. We illustrate
our methods by studying Kummer-Schwarz equations, Riccati equations, Ermakov
systems and Smorodinsky-Winternitz systems with time-dependent frequency.


title: Generalized Superconductors and Holographic Optics

abstract:
  We study generalized holographic s-wave superconductors in four dimensional
R-charged black hole and Lifshitz black hole backgrounds, in the probe limit.
We first establish the superconducting nature of the boundary theories, and
then study their optical properties. Numerical analysis indicates that a
negative Depine-Lakhtakia index may appear at low frequencies in the theory
dual to the R-charged black hole, for certain temperature ranges, for specific
values of the charge parameter. The corresponding cut-off values for these are
numerically established in several cases. Such effects are seen to be absent in
the Lifshitz background where this index is always positive.


title: Some Koszul properties of standard and irreducible modules

abstract:
  Let $G$ be a simple, simply connected algebraic group over an algebraically
closed field of positive characteristic $p$. In recent work, the authors have
studied a graded analogue of the category of rational $G$-modules. These
gradings are not natural but are "forced" on related algebras though
filtrations, often obtained from appropriate quantum structures. This paper
presents new results on Koszul modules for the graded algebras obtained through
this forced grading process. Most of these results require that the Lusztig
character formula holds for all restricted $p$-regular weights, but the paper
begins to investigate how these and previous results might be established when
the Lusztig character formula is only assumed to hold on a proper poset ideal
in the Jantzen region. This opens up the possibility of inductive arguments.


title:
Orientation dynamics of small, triaxial-ellipsoidal particles in
  isotropic turbulence

abstract:
  The orientation dynamics of small anisotropic tracer particles in turbulent
flows is studied using direct numerical simulation (DNS) and results are
compared with Lagrangian stochastic models. Generalizing earlier analysis for
axisymmetric ellipsoidal particles (Parsa et al. 2012), we measure the
orientation statistics and rotation rates of general, triaxial ellipsoidal
tracer particles using Lagrangian tracking in DNS of isotropic turbulence.
Triaxial ellipsoids that are very long in one direction, very thin in another,
and of intermediate size in the third direction exhibit reduced rotation rates
that are similar to those of rods in the ellipsoid's longest direction, while
exhibiting increased rotation rates that are similar to those of axisymmetric
discs in the thinnest direction. DNS results differ significantly from the case
when the particle orientations are assumed to be statistically independent from
the velocity gradient tensor. They are also different from predictions of a
Gaussian process for the velocity gradient tensor, which does not provide
realistic preferred vorticity-strain-rate tensor alignments. DNS results are
also compared with a stochastic model for the velocity gradient tensor based on
the recent fluid deformation approximation (RFDA). Unlike the Gaussian model,
the stochastic model accurately predicts the reduction in rotation rate in the
longest direction of triaxial ellipsoids since this direction aligns with the
flow's vorticity, with its rotation perpendicular to the vorticity being
reduced. For disc-like particles, or in directions perpendicular to the longest
direction in triaxial particles, the model predicts {noticeably} smaller
rotation rates than those observed in DNS, a behavior that can be understood
based on the probability of vorticity orientation with the most contracting
strain-rate eigen-direction in the model.


title: Dirac--Lie systems and Schwarzian equations

abstract:
  A Lie system is a system of differential equations admitting a superposition
rule, i.e., a function describing its general solution in terms of any generic
set of particular solutions and some constants. Following ideas going back to
the Dirac's description of constrained systems, we introduce and analyse a
particular class of Lie systems on Dirac manifolds, called Dirac--Lie systems,
which are associated with `Dirac--Lie Hamiltonians'. Our results enable us to
investigate constants of the motion, superposition rules, and other general
properties of such systems in a more effective way. Several concepts of the
theory of Lie systems are adapted to this `Dirac setting' and new applications
of Dirac geometry in differential equations are presented. As an application,
we analyze traveling wave solutions of Schwarzian equations, but our methods
can be applied also to other classes of differential equations important for
Physics.


title: On messengers couplings in extended GMSB models

abstract:
  We discuss, for the first time, the role of the superpotential couplings of
three messenger fields in a GMSB-type unification model in which messenger
sector consists of both 5+5bar and 10+10bar of SU(5). It turns out that these
interactions are relevant when coexist with appropriate messenger-MSSM
couplings. Then they induce extra contributions to 2-loop soft masses. In the
present model, we derive all such soft terms and discuss constraints which have
to be satisfied to avoid rapid proton decay and mu/B_mu problem. As an example,
it is shown how superpotential couplings of three messengers influence mass
spectra when the model is restricted by additional global U(1)_q symmetry. We
find that masses of the lightest sleptons are the most sensitive to those new
interactions, what in some cases results in the NLSP/NNLSP pattern in which
stau or selectron is lighter than the lightest neutralino.


title: Bounds on Thermal Efficiency from Inference

abstract:
  The problem of inference is applied to the process of work extraction from
two constant heat capacity reservoirs, when the thermodynamic coordinates of
the process are not fully specified. The information that is lacking, includes
both the specific value of a temperature as well as the label of the reservoir
to which it is assigned. The estimates for thermal efficiency reveal that
uncertainty regarding the exact labels, reduces the maximal efficiency below
the Carnot value, its minimum value being the well known Curzon-Ahlborn value.
We also make an average estimate of the efficiency {\it before} the value of
the temperature is revealed. It is found that if the labels are known with
certainty, then in the near-equilibrium limit the efficiency scales as 1/2 of
Carnot value, while if there is maximal uncertainty in the labels, then the
average estimate for efficiency drops to 1/3 of Carnot value. We also suggest
how infered properties of the incomplete model can be mapped to a model with
complete information but with an additional source of thermodynamic
irreversibility.


title:
Increasing and decreasing entanglement characteristics for continuous
  variables by a local photon subtraction

abstract:
  We investigate how the entanglement characteristics of a non-Gaussian
entangled state are increased or decreased by a local photon subtraction
operation. The non-Gaussian entangled state is generated by injecting a
single-mode non-Gaussian state and a vacuum state into a 50:50 beam splitter.
We consider a photon-added coherent state and an odd coherent state as a
single-mode non-Gaussian state. In the regime of small amplitude, we show that
the performance of quantum teleportation and the second-order
Einstein-Podolsky- Rosen-type correlation can both be enhanced, whereas the
degree of entanglement decreases, for the output state when a local photon
subtraction operation is applied to the non-Gaussian entangled state. The
counterintuitive effect is more prominent in the limit of nearly zero
amplitude.


title: Seiberg-like Dualities for 3d N=2 Theories with SU(N) gauge group

abstract:
  We work out Seiberg-like dualities for 3d $\mathcal{N}=2$ theories with SU(N)
gauge group. We use the $SL(2,\mathbb{Z})$ action on 3d conformal field
theories with U(1) global symmetry. One of generator S of $SL(2,\mathbb{Z})$
acts as gauging of the U(1) global symmetry. Utilizing $S=S^{-1}$ up to charge
conjugation, we obtain Seiberg-like dual of SU(N) theories by gauging
topological U(1) symmetry of the Seiberg-like dual of U(N) theories with the
same matter content. We work out the Aharony dualities for SU(N) gauge theory
with $N_f$ fundamental/anti-fundamnetal flavors, with/without one adjoint
matter with the superpotential. We also work out the Giveon-Kutasov dualities
for SU(N) gauge theory with Chern-Simons term and with $N_f$
fundamental/anti-fundamental flavors. For all the proposed dualities, we give
various evidences such as chiral ring matching and the superconformal index
computations. We find the perfect matchings.


title: Optimizing non-ergodic feedback engines

abstract:
  Maxwell's demon is a special case of a feedback controlled system, where
information gathered by measurement is utilized by driving a system along a
thermodynamic process that depends on the measurement outcome. The demon
illustrates that with feedback one can design an engine that performs work by
extracting energy from a single thermal bath. Besides the fundamental questions
posed by the demon - the probabilistic nature of the Second Law, the
relationship between entropy and information, etc. - there are other practical
problems related to feedback engines. One of those is the design of optimal
engines, protocols that extract the maximum amount of energy given some amount
of information. A refinement of the second law to feedback systems establishes
a bound to the extracted energy, a bound that is met by optimal feedback
engines. It is also known that optimal engines are characterized by time
reversibility. As a consequence, the optimal protocol given a measurement is
the one that, run in reverse, prepares the system in the post-measurement state
(preparation prescription). In this paper we review these results and analyze
some specific features of the preparation prescription when applied to
non-ergodic systems.


title:
Ultracold hydrogen atoms: a versatile coolant to produce ultracold
  molecules

abstract:
  We show theoretically that ultracold hydrogen atoms have very favorable
properties for sympathetic cooling of molecules to microkelvin temperatures. We
calculate the potential energy surfaces for spin-polarized interactions of H
atoms with the prototype molecules NH(triplet-Sigma-) and OH(doublet-Pi) and
show that they are shallow (50 to 80 cm-1) and only weakly anisotropic. We
carry out quantum collision calculations on H+NH and H+OH and show that the
ratio of elastic to inelastic cross sections is high enough to allow
sympathetic cooling from temperatures well over 1 K for NH and around 250 mK
for OH.


title: Electronic Structure and Spectra of CuO

abstract:
  We report the electronic structure of monoclinic CuO as obtained from first
principles calculations utilizing density functional theory plus effective
Coulomb interaction (DFT + U) method. In contrast to standard DFT calculations
taking into account electronic correlations in DFT + U gave antiferromagnetic
insulator with energy gap and magnetic moment values in good agreement with
experimental data. The electronic states around the Fermi level are formed by
partially filled Cu 3$d_{x^2-y^2}$ orbitals with significant admixture of O
2$p$ states. Theoretical spectra are calculated using DFT + U electronic
structure method and their comparison with experimental photoemission and
optical spectra show very good agreement.


title: On a Filtration of CH_{0} for an Abelian Variety A

abstract:
  Let $A$ be an abelian variety defined over a field $k$. In this paper we
define a filtration $F^{r}$ of the group $CH_{0}(A)$ and prove an isomorphism
$\frac{K(k;A,...,A)}{\Sym}\otimes\mathbb{Z}[\frac{1}{r!}]\simeq
F^{r}/F^{r+1}\otimes\mathbb{Z}[\frac{1}{r!}]$, where $K(k;A,...,A)$ is the
Somekawa K-group attached to $r$-copies of the abelian variety $A$.\\ In the
special case when $k$ is a finite extension of $\mathbb{Q}_{p}$ and $A$ has
split multiplicative reduction, we compute the kernel of the map
$CH_{0}(A)\otimes\Z[\frac{1}{2}]\rightarrow
\rm{Hom}(Br(A),\Q/\Z)\otimes\Z[\frac{1}{2}]$, induced by the pairing
$CH_{0}(A)\times Br(A)\rightarrow\mathbb{Q}/\Z$.


title: Around the Petty theorem on equilateral sets

abstract:
  The main goal of this paper is to provide an alternative proof of the
following theorem of Petty: in the normed space of dimension at least three,
every 3-element equilateral set can be extended to a 4-element equilateral set.
Our approach is based on the result of Kramer and N\'emeth about inscribing a
simplex into a convex body. To prove the theorem of Petty, we shall also
establish that for every 3 points in the normed plane, forming an equilateral
set of the common distance $p$, there exists a fourth point, which is
equidistant to the given points with the distance not larger than $p$. We will
also improve the example given by Petty and obtain the existence of a smooth
and strictly convex norm in $\mathbb{R}^n$, which contain a maximal 4-element
equilateral set. This shows that the theorem of Petty cannot be generalized to
higher dimensions, even for smooth and strictly convex norms.


title: Double commutants of multiplication operators on $C(K).$

abstract:
  Let $C(K)$ be the space of all real or complex valued continuous functions on
a compact Hausdorff space $K$. We are interested in the following property of
$K$: for any real valued $f \in C(K)$ the double commutant of the corresponding
multiplication operator $F$ coincides with the norm closed algebra generated by
$F$ and $I$. In this case we say that $K \in \mathcal{DCP}$. It was proved in
\cite{Ki} that any locally connected metrizable continuum is in
$\mathcal{DCP}$. In this paper we indicate a class of arc connected but not
locally connected continua that are in $\mathcal{DCP}$. We also construct an
example of a continuum that is not arc connected but is in $\mathcal{DCP}$.


title: The intersection graph of ideals of $\mathbb{Z}_n$ is\\ weakly perfect

abstract:
  A graph is called weakly perfect if its vertex chromatic number equals its
clique number. Let $R$ be a ring and $I(R)^*$ be the set of all left proper
non-trivial ideals of $R$. The intersection graph of ideals of $R$, denoted by
$G(R)$, is a graph with the vertex set $I(R)^*$ and two distinct vertices $I$
and $J$ are adjacent if and only if $I\cap J\neq 0$. In this paper, it is shown
that $G(\mathbb{Z}_n)$, for every positive integer $n$, is a weakly perfect
graph. Also, for some values of $n$, we give an explicit formula for the vertex
chromatic number of $G(\mathbb{Z}_n)$. Furthermore, it is proved that the edge
chromatic number of $G(\mathbb{Z}_n)$ is equal to the maximum degree of
$G(\mathbb{Z}_n)$ unless either $G(\mathbb{Z}_n)$ is a null graph with two
vertices or a complete graph of odd order.


title: Equilateral dimension of some classes of normed spaces

abstract:
  An equilateral dimension of a normed space is a maximal number of pairwise
equidistant points of this space. The aim of this paper is to study the
equilateral dimension of certain classes of finite dimensional normed spaces.
The well-known conjecture states that the equilateral dimension of any
$n$-dimensional normed space is not less than $n+1$. By using an elementary
continuity argument, we establish it in the following classes of spaces:
permutation-invariant spaces, Orlicz-Musielak spaces and in one codimensional
subspaces of $\ell^n_{\infty}$. For smooth and symmetric spaces,
Orlicz-Musielak spaces satisfying an additional condition and every
$(n-1)$-dimensional subspace of $\ell^{n}_{\infty}$ we also provide some weaker
bounds on the equilateral dimension for every space which is sufficiently close
to one of these. This generalizes the result of Swanepoel and Villa concerning
the $\ell_p^n$ spaces.


title:
Polignac Numbers, Conjectures of Erd\"os on Gaps between Primes,
  Arithmetic Progressions in Primes, and the Bounded Gap Conjecture

abstract:
  In the present work we prove a number of surprising results about gaps
between consecutive primes and arithmetic progressions in the sequence of
generalized twin primes which could not have been proven without the recent
fantastic achievement of Yitang Zhang about the existence of bounded gaps
between consecutive primes. Most of these results would have belonged to the
category of science fiction a decade ago. However, the presented results are
far from being immediate consequences of Zhang's famous theorem: they require
various new ideas, other important properties of the applied sieve function and
a closer analysis of the methods of Goldston-Pintz-Yildirim, Green-Tao, and
Zhang, respectively.