title: Anti-Newtonian cosmologies in f(R) gravity

abstract:
  In this paper, we investigate a class of perfect-fluid "anti-Newtonian"
cosmological models in the context of f(R) gravity. In particular, we study the
integrability conditions of such gravity models using covariant consistency
analysis formalisms. We show that, unlike the results in General Relativity,
anti-Newtonian cosmologies are not silent models and that they can exist
subject to the solution of an integrability condition equation we derive. We
also present the set of evolution equations governing the linear perturbations
of matter, expansion and Ricci scalar for this class of models.


title: Local and global Maass relations (expanded version)

abstract:
  We characterize the irreducible, admissible, spherical representations of
GSp(4,F) (where F is a p-adic field) that occur in certain CAP representations
in terms of relations satisfied by their spherical vector in a special Bessel
model. These local relations are analogous to the Maass relations satisfied by
the Fourier coefficients of Siegel modular forms of degree 2 in the image of
the Saito-Kurokawa lifting. We show how the classical Maass relations can be
deduced from the local relations in a representation theoretic way, without
recourse to the construction of Saito-Kurokawa lifts in terms of Fourier
coefficients of half-integral weight modular forms or Jacobi forms. As an
additional application of our methods, we give a new characterization of
Saito-Kurokawa lifts involving a certain average of Fourier coefficients.


title: Reeb dynamics detects odd balls

abstract:
  We give a dynamical characterisation of odd-dimensional balls within the
class of all contact manifolds whose boundary is a standard even-dimensional
sphere. The characterisation is in terms of the non-existence of short periodic
Reeb orbits.


title:
Poisson law for some nonuniformly hyperbolic dynamical systems with
  polynomial rate of mixing

abstract:
  We consider some nonuniformly hyperbolic invertible dynamical systems which
are modeled by a Gibbs-Markov-Young tower. We assume a polynomial tail for the
inducing time and a polynomial control of hyperbolicity, as introduced by
Alves, Pinheiro and Azevedo. These systems admit a physical measure with
polynomial rate of mixing. In this paper we prove that the distribution of the
number of visits to a ball B(x, r) converges to a Poisson distribution as the
radius r $\to$ 0 and after suitable normalization.


title: Actions, angles and frequencies for numerically integrated orbits

abstract:
  We present a method for extracting actions, angles and frequencies from an
orbit's time series. The method recovers the generating function that maps an
analytic phase-space torus to the torus to which the orbit is confined by
simultaneously solving the constraints provided by each time step. We test the
method by recovering the actions and frequencies of a triaxial St\"ackel
potential, and use it to investigate the structure of orbits in a triaxial
potential that has been fitted to our Galaxy's Sagittarius stream. The method
promises to be useful for analysing N-body simulations. It also takes a step
towards constructing distribution functions for the triaxial components of our
Galaxy, such as the bar and dark halo.


title: Construction of some perfect integral lattices with minimum 4

abstract:
  We construct several families of perfect sublattices with minimum $4$ of
$\mathbb Z^d$. In particular, the number of $d-$dimensional perfect integral
lattices with minimum $4$ grows faster than $d^k$ for every exponent $k$.


title: Geodesics in Brownian surfaces (Brownian maps)

abstract:
  We define a class a metric spaces we call Brownian surfaces, arising as the
scaling limits of random maps on general orientable surfaces with a boundary
and we study the geodesics from a uniformly chosen random point. These metric
spaces generalize the well-known Brownian map and our results generalize the
properties shown by Le Gall on geodesics in the latter space. We use a
different approach based on two ingredients: we first study typical geodesics
and then all geodesics by an "entrapment" strategy. In particular, we give
geometrical characterizations of some subsets of interest, in terms of
geodesics, boundary points and concatenations of geodesics that are not
homotopic to 0.


title:
Tuning the critical temperature of cuprate superconductor films using
  self-assembled organic layers

abstract:
  Many of the electronic properties of high-temperature cuprate superconductors
(HTSC) are strongly dependent on the number of charge carriers put into the
CuO$_2$ planes (doping). Superconductivity appears over a dome-shaped region of
the doping-temperature phase diagram. The highest critical temperature (Tc) is
obtained for the so-called "optimum doping". The doping mechanism is usually
chemical; it can be done by cationic substitution. This is the case, for
example, in La$_{2-x}$Sr$_x$CuO$_4$ where La3+ is replaced by Sr2+ thus adding
a hole to the CuO$_2$ planes. A similar effect is achieved by adding oxygen as
in the case of YBa$_2$Cu$_3$O$_{6+\delta}$ where $\delta$ represents the excess
oxygen in the sample. In this paper we report on a different mechanism, one
that enables the addition or removal of carriers from the surface of the HTSC.
This method utilizes a self-assembled monolayer (SAM) of polar molecules
adsorbed on the cuprate surface. In the case of optically active molecules, the
polarity of the SAM can be modulated by shining light on the coated surface.
This results in a light-induced modulation of the superconducting phase
transition of the sample. The ability to control the superconducting transition
temperature with the use of SAMs makes these surfaces practical for various
devices such as switches and detectors based on high-Tc superconductors.


title:
Methods of Information Theory and Algorithmic Complexity for Network
  Biology

abstract:
  We survey and introduce concepts and tools located at the intersection of
information theory and network biology. We show that Shannon's information
entropy, compressibility and algorithmic complexity quantify different local
and global aspects of synthetic and biological data. We show examples such as
the emergence of giant components in Erdos-Renyi random graphs, and the
recovery of topological properties from numerical kinetic properties simulating
gene expression data. We provide exact theoretical calculations, numerical
approximations and error estimations of entropy, algorithmic probability and
Kolmogorov complexity for different types of graphs, characterizing their
variant and invariant properties. We introduce formal definitions of complexity
for both labeled and unlabeled graphs and prove that the Kolmogorov complexity
of a labeled graph is a good approximation of its unlabeled Kolmogorov
complexity and thus a robust definition of graph complexity.


title:
Inverse problem for Dirac systems with locally square-summable
  potentials and rectangular Weyl functions

abstract:
  Inverse problem for Dirac systems with locally square summable potentials and
rectangular Weyl functions is solved. For that purpose we use a new result on
the linear similarity between operators from a subclass of triangular integral
operators and the operator of integration.


title: A deformable microswimmer in a swirl: capturing and scattering dynamics

abstract:
  Inspired by the classical Kepler and Rutherford problem, we investigate an
analogous set-up in the context of active microswimmers: the behavior of a
deformable microswimmer in a swirl flow. First we identify new steady bound
states in the swirl flow and analyze their stability. Second we study the
dynamics of a self-propelled swimmer heading towards the vortex center, and we
observe the subsequent capturing and scattering dynamics. We distinguish
between two major types of swimmers, those that tend to elongate
perpendicularly to the propulsion direction and those that pursue a parallel
elongation. While the first ones can get caught by the swirl, the second ones
were always observed to be scattered, which proposes a promising escape
strategy. This offers a route to design artificial microswimmers that show the
desired behavior in complicated flow fields. It should be straightforward to
verify our results in a corresponding quasi-two-dimensional experiment using
self-propelled droplets on water surfaces.


title: A Brief History of Learning Classifier Systems: From CS-1 to XCS

abstract:
  Modern Learning Classifier Systems can be characterized by their use of rule
accuracy as the utility metric for the search algorithm(s) discovering useful
rules. Such searching typically takes place within the restricted space of
co-active rules for efficiency. This paper gives an historical overview of the
evolution of such systems up to XCS, and then some of the subsequent
developments of XCS to different types of learning.


title: Effects of isovector scalar $\delta$-meson on hypernuclei

abstract:
  We analyze the effects of $\delta-$ meson on hypernuclei within the
frame-work of relativistic mean field theory. The $\delta-$ meson is included
into the Lagrangian for hypernuclei. The extra nucleon-meson coupling
($g_\delta$) affects the every piece of physical observables, like binding
energy, radii and single particle energy of hypernuclei. The lambda mean field
potential is investigated which is consistent with other predictions. Flipping
of single particle energy levels are observed with the strength of $g_\delta$
in the considered hypernuclei as well as normal nuclei. The spin-orbit
potentials are observed for considered hypernuclei and the effect of $g_\delta$
on spin-orbit potentials is also analyzed. The calculated single-$\Lambda$
binding energies ($B_\Lambda$) are quite agreeable with the experimental data.


title: Diffeomorphic image matching with left-invariant metrics

abstract:
  The geometric approach to diffeomorphic image registration known as "large
deformation by diffeomorphic metric mapping" (LDDMM) is based on a left action
of diffeomorphisms on images, and a right-invariant metric on a diffeomorphism
group, usually defined using a reproducing kernel. We explore the use of
left-invariant metrics on diffeomorphism groups, based on reproducing kernels
defined in the body coordinates of a source image. This perspective, which we
call Left-LDM, allows us to consider non-isotropic spatially-varying kernels,
which can be interpreted as describing variable deformability of the source
image. We also show a simple relationship between LDDMM and the new approach,
implying that spatially-varying kernels are interpretable in the same way in
LDDMM. We conclude with a discussion of a class of kernels that enforce a soft
mirror-symmetry constraint, which we validate in numerical experiments on a
model of a lesioned brain.


title: Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras

abstract:
  The aim of this paper is to introduce the notions of Hom Gel'fand-Dorfman
bialgebra and Hom-Lie conformal algebra. In this paper, we give four
constructions of Hom Gel'fand-Dorfman bialgebras. Also, we provide a general
construction of Hom-Lie conformal algebras from Hom-Lie algebras. Finally, we
prove that a Hom Gel'fand-Dorfman bialgebra is equivalent to a Hom-Lie
conformal algebra of degree 2.


title: Strong property (T) for higher rank simple Lie groups

abstract:
  We prove that connected higher rank simple Lie groups have Lafforgue's strong
property (T) with respect to a certain class of Banach spaces
$\mathcal{E}_{10}$ containing many classical superreflexive spaces and some
non-reflexive spaces as well. This generalizes the result of Lafforgue
asserting that $\mathrm{SL}(3,\mathbb{R})$ has strong property (T) with respect
to Hilbert spaces and the more recent result of the second named author
asserting that $\mathrm{SL}(3,\mathbb{R})$ has strong property (T) with respect
to a certain larger class of Banach spaces. For the generalization to higher
rank groups, it is sufficient to prove strong property (T) for
$\mathrm{Sp}(2,\mathbb{R})$ and its universal covering group. As consequences
of our main result, it follows that for $X \in \mathcal{E}_{10}$, connected
higher rank simple Lie groups and their lattices have property (F$_X$) of
Bader, Furman, Gelander and Monod, and that the expanders contructed from a
lattice in a connected higher rank simple Lie group do not admit a coarse
embedding into $X$.


title: Geometry of Banach spaces with an octahedral norm

abstract:
  We discuss the geometry of Banach spaces whose norm is octahedral or, more
generally, locally or weakly octahedral. Our main results characterize these
spaces in terms of covering of the unit ball.


title: Turing Minimalism and the Emergence of Complexity

abstract:
  Not only did Turing help found one of the most exciting areas of modern
science (computer science), but it may be that his contribution to our
understanding of our physical reality is greater than we had hitherto supposed.
Here I explore the path that Alan Turing would have certainly liked to follow,
that of complexity science, which was launched in the wake of his seminal work
on computability and structure formation. In particular, I will explain how the
theory of algorithmic probability based on Turing's universal machine can also
explain how structure emerges at the most basic level, hence reconnecting two
of Turing's most cherished topics: computation and pattern formation.


title:
Reflective and Refractive Variables: A Model for Effective and
  Maintainable Adaptive-and-Dependable Software

abstract:
  We propose a simple and effective tool for the expression of tasks such as
cross-layer optimization strategies or sensors-related applications. The
approach is based on what we refer to as "reflective and refractive variables".
Both types of variables are associated with external entities, e.g. sensors or
actuators. A reflective variable is a volatile variable, that is, a variable
that might be concurrently modified by multiple threads. A library of threads
is made available, each of which interfaces a set of sensors and continuously
update the value of a corresponding set of sensors. One such thread is "cpu",
which exports the current level of usage of the local CPU as an integer between
0 and 100. This integer is reflected into the integer reflective variable cpu.
A refractive variable is a reflective variable that can be modified. Each
modification is caught and interpreted as a request to change the value of an
actuator. For instance, setting variable "tcp_sendrate" would request a
cross-layer adjustment to the thread interfacing the local TCP layer entity.
This allows express in an easy way complex operations in the application layer
of any programming language, e.g. plain old C. We describe our translator and
the work we are carrying out within PATS to build simple and powerful libraries
of scripts based on reflective and refractive variables, including robotics
applications and RFID tags processing.


title:
Performance Engineering for a Medical Imaging Application on the Intel
  Xeon Phi Accelerator

abstract:
  We examine the Xeon Phi, which is based on Intel's Many Integrated Cores
architecture, for its suitability to run the FDK algorithm--the most commonly
used algorithm to perform the 3D image reconstruction in cone-beam computed
tomography. We study the challenges of efficiently parallelizing the
application and means to enable sensible data sharing between threads despite
the lack of a shared last level cache. Apart from parallelization, SIMD
vectorization is critical for good performance on the Xeon Phi; we perform
various micro-benchmarks to investigate the platform's new set of vector
instructions and put a special emphasis on the newly introduced vector gather
capability. We refine a previous performance model for the application and
adapt it for the Xeon Phi to validate the performance of our optimized
hand-written assembly implementation, as well as the performance of several
different auto-vectorization approaches.


title: $\Lambda-$hyperon interaction with nucleons

abstract:
  We study the interaction of $\Lambda-$hyperon with proton and neutron inside
a nucleus within the framework of relativistic mean field formalism. The single
particle energy levels for some of the specific proton and neutron orbits are
analyzed with the addition of $\Lambda-$successively. We found that the
interaction of $\Lambda$ with neutron is more stronger than proton.


title:
Power Allocation in MIMO Wiretap Channel with Statistical CSI and
  Finite-Alphabet Input

abstract:
  In this paper, we consider the problem of power allocation in MIMO wiretap
channel for secrecy in the presence of multiple eavesdroppers. Perfect
knowledge of the destination channel state information (CSI) and only the
statistical knowledge of the eavesdroppers CSI are assumed. We first consider
the MIMO wiretap channel with Gaussian input. Using Jensen's inequality, we
transform the secrecy rate max-min optimization problem to a single
maximization problem. We use generalized singular value decomposition and
transform the problem to a concave maximization problem which maximizes the sum
secrecy rate of scalar wiretap channels subject to linear constraints on the
transmit covariance matrix. We then consider the MIMO wiretap channel with
finite-alphabet input. We show that the transmit covariance matrix obtained for
the case of Gaussian input, when used in the MIMO wiretap channel with
finite-alphabet input, can lead to zero secrecy rate at high transmit powers.
We then propose a power allocation scheme with an additional power constraint
which alleviates this secrecy rate loss problem, and gives non-zero secrecy
rates at high transmit powers.


title: Steenrod coalgebras

abstract:
  This paper shows that a functorial version of the "higher diagonal" of a
space used to compute Steenrod squares actually contains far more topological
information --- including (in some cases) the space's integral homotopy type.


title: Playing jeu de taquin on d-complete posets

abstract:
  Using a modified version of jeu de taquin, Novelli, Pak and Stoyanovskii gave
a bijective proof of the hook-length formula for counting standard Young
tableaux of fixed shape. In this paper we consider a natural extension of jeu
de taquin to arbitrary posets. Given a poset P, jeu de taquin defines a map
from the set of bijective labelings of the poset elements with
$\{1,2,...,|P|\}$ to the set of linear extensions of the poset. One question of
particular interest is for which posets this map yields each linear extension
equally often. We analyze the double-tailed diamond poset $D_{m,n}$ and show
that uniform distribution is obtained if and only if $D_{m,n}$ is d-complete.
Furthermore, we observe that the extended hook-length formula for counting
linear extensions on d-complete posets provides a combinatorial answer to a
seemingly unrelated question, namely: Given a uniformly random standard Young
tableau of fixed shape, what is the expected value of the left-most entry in
the second row?


title:
The zeros of the Riemann-zeta function and the transition from
  pseudo-random to harmonic behavior

abstract:
  In this work, it is introduced a new function based on the non-trivial zeros
of the Riemann-zeta function. Such function shows an interesting behavior: when
the argument of the function grows, it changes from a pseudo-random behavior to
a harmonic behavior with decreasing frequency.


title:
Service-oriented Communities: Visions and Contributions towards Social
  Organizations

abstract:
  With the increase of the populations, resources are becoming scarcer, and a
smarter way to make use of them becomes a vital necessity of our societies. On
the other hand, resource management is traditionally carried out through well
established organizations, policies, and regulations that are often considered
as impossible to restructure. Our position is that merely expanding the
traditional approaches might not be enough. Systems must be radically rethought
in order to achieve a truly effective and rational use of the available
resources. Classical concepts such as demand and supply need to be rethought as
well, as they operate artificial classifications that limit the true potential
of systems and organizations. In what follows we propose our vision to future,
"smarter" systems able to overcome the limitations of the status quo. Such
systems require what Boulding called "gestalts," namely concepts able to
"directing research towards the gaps which they reveal". In this paper we
elaborate on this and show how such gestalts can pave the way towards novel
reformulations of traditional services able to reach a better and more sensible
management of the available resources and cope with their scarcity. Our vision
of a Service-oriented Community is also introduced. We believe that such
communities---in heterarchical coexistence with traditional systems---provide
the necessary diversity and innovation orientation to prevent societal lock-ins
such as the ones we are experiencing in assisting our elderly ones.


title:
Interacting particle systems: hydrodynamic limit versus high density
  limit

abstract:
  In this short survey we compare aspects of two different approaches for
scaling limits of interacting particle systems, the hydrodynamic limit and the
high density limit. We present some examples, comments and open problems on
each approach for different scenarios: the law of large numbers, the central
limit theorem, and the large deviations principle. It is given a special
attention to a recent result of Franco and Groisman' 12 about the high density
limit of a system exhibiting explosion of the total numbers of particles in
finite time.


title:
Transport Information System using Query Centric Cyber Physical Systems
  (QCPS)

abstract:
  To incorporate the computation and communication with the physical world,
next generation architecture i.e. CPS is viewed as a new technology. To improve
the better interaction with the physical world or to perk up the electricity
delivery usage, various CPS based approaches have been introduced. Recently
several GPS equipped smart phones and sensor based frameworks have been
proposed which provide various services i.e. environment estimation, road
safety improvement but encounter certain limitations like elevated energy
consumption and high computation cost. To meet the high reliability and safety
requirements, this paper introduces a novel approach based on QCPS model which
provides several users services (discussed in this paper). Further, this paper
proposed a Transport Information System (TIS), which provide the communication
with lower cost overhead by arranging the similar sensors in the form of grids.
Each grid has a coordinator which interacts with cloud to process the user
query. In order to evaluate the performance of proposed approach we have
implemented a test bed of 16 wireless sensor nodes and have shown the
performance in terms of computation and communication cost.


title:
Numerical Solution of the Model for HIV Infection of Cd4+T Cells by
  Using Multistage Differential Transform Method

abstract:
  The Multistage Differential Transform Method (MDTM) is employed to solve the
model for HIV infection of CD4+T cells. Comparing the numerical results to
those obtained by the classical fourth order Runge-Kutta method showed the
preciseness and efficacy of the multistep differential transform method. The
study shows that the method is a powerful and promising tool for solving
coupled systems of differential equations.


title: Gauge theories with non-trivial backgrounds

abstract:
  We review our most recent results in formulating gauge theories in the
presence of a background field on the basis of symmetry arguments only. In
particular we show how one can gain full control over the dependence on the
background field of the effective action, and how the so-called background
field method emerges naturally from the requirement of invariance under the
BRST and antiBRST symmetries.


title: Modeling Concept Combinations in a Quantum-theoretic Framework

abstract:
  We present modeling for conceptual combinations which uses the mathematical
formalism of quantum theory. Our model faithfully describes a large amount of
experimental data collected by different scholars on concept conjunctions and
disjunctions. Furthermore, our approach sheds a new light on long standing
drawbacks connected with vagueness, or fuzziness, of concepts, and puts forward
a completely novel possible solution to the 'combination problem' in concept
theory. Additionally, we introduce an explanation for the occurrence of quantum
structures in the mechanisms and dynamics of concepts and, more generally, in
cognitive and decision processes, according to which human thought is a well
structured superposition of a 'logical thought' and a 'conceptual thought', and
the latter usually prevails over the former, at variance with some widespread
beliefs


title:
A Service-oriented Infrastructure Approach for Mutual Assistance
  Communities

abstract:
  Elder people are becoming a predominant aspect of our societies. As such,
solutions both efficacious and cost-effective need to be sought. This paper
proposes a service-oriented infrastructure approach to this problem. We propose
an open and integrated service infrastructure to orchestrate the available
resources (smart devices, professional carers, informal carers) to help elder
or disabled people. Main characteristic of our design is the explicitly support
of dynamically available service providers such as informal carers. By modeling
the service description as Semantic Web Services, the service request can
automatically be discovered, reasoned about and mapped onto the pool of
heterogeneous service providers. We expect our approach to be able to
efficiently utilize the available service resources, enrich the service
options, and best match the requirements of the requesters.


title:
On algebraic independence of certain multizeta values in characteristic
  p

abstract:
  In this paper, we study multizeta values over function fields in
characteristic $p$. For each $d \geq 2$, we show that when the constant field
has cardinality $> 2$, the field generated by all multizeta values of depth $d$
is of infinite transcendence degree over the field generated by all single zeta
values. As a special case, this gives an affirmative answer to the function
field analogue of a question of Y.\ Andr\'e.


title: Prospects for quantum computing: extremely doubtful

abstract:
  The quantum computer is supposed to process information by applying unitary
transformations to the complex amplitudes defining the state of N qubits. A
useful machine needing N=1000 or more, the number of continuous parameters
describing the state of a quantum computer at any given moment is much greater
than the number of protons in the Universe. However, the theorists believe that
the feasibility of large-scale quantum computing has been proven via the
threshold theorem. Like for any theorem, the proof is based on a number of
assumptions considered as axioms. However, in the physical world none of these
assumptions can be fulfilled exactly. Any assumption can be only approached
with some limited precision. So, the rather meaningless
error-per-qubit-per-gate threshold must be supplemented by a list of the
precisions with which all assumptions behind the threshold theorem should hold.
Such a list still does not exist. The theory also seems to ignore the undesired
free evolution of the quantum computer caused by the energy differences of
quantum states entering any given superposition. Another important point is
that the hypothetical quantum computer will be a system of at least a thousand
of qubits plus an extremely complex and monstrously sophisticated classical
apparatus. This huge and strongly nonlinear system will generally exhibit
instabilities and chaotic behavior.


title:
Topological monodromy as an obstruction to Hamiltonization of
  nonholonomic systems: pro or contra?

abstract:
  The phenomenon of a topological monodromy in integrable Hamiltonian and
nonholonomic systems is discussed. An efficient method for computing and
visualizing the monodromy is developed. The comparative analysis of the
topological monodromy is given for the rolling ellipsoid of revolution problem
in two cases, namely, on a smooth and on a rough plane. The first of these
systems is Hamiltonian, the second is nonholonomic. We show that, from the
viewpoint of monodromy, there is no difference between the two systems, and
thus disprove the conjecture by Cushman and Duistermaat stating that the
topological monodromy gives a topological obstruction for Hamiltonization of
the rolling ellipsoid of revolution on a rough plane.


title: Renormalization group analysis of the gluon mass equation

abstract:
  In the present work we carry out a systematic study of the renormalization
properties of the integral equation that determines the momentum evolution of
the effective gluon mass. A detailed, all-order analysis of the complete kernel
appearing in this particular equation reveals that the renormalization
procedure may be accomplished through the sole use of ingredients known from
the standard perturbative treatment of the theory, with no additional
assumptions. However, the subtle interplay of terms operating at the level of
the exact equation gets distorted by the approximations usually employed when
evaluating the aforementioned kernel. This fact is reflected in the form of the
obtained solutions, whose deviations from the correct behavior are best
quantified by resorting to appropriately defined renormalization-group
invariant quantities. This analysis, in turn, provides a solid guiding
principle for improving the form of the kernel, and furnishes a well-defined
criterion for discriminating between various possibilities. Certain
renormalization-group inspired Ans\"atze for the kernel are then proposed, and
their numerical implications are explored in detail. One of the solutions
obtained fulfills the theoretical expectations to a high degree of accuracy,
yielding a gluon mass that is positive-definite throughout the entire range of
physical momenta, and displays in the ultraviolet the so-called "power-law"
running, in agreement with standard arguments based on the operator product
expansion. Some of the technical difficulties thwarting a more rigorous
determination of the kernel are discussed, and possible future directions are
briefly mentioned.


title: Bayesian Conditional Density Filtering

abstract:
  We propose a Conditional Density Filtering (C-DF) algorithm for efficient
online Bayesian inference. C-DF adapts MCMC sampling to the online setting,
sampling from approximations to conditional posterior distributions obtained by
propagating surrogate conditional sufficient statistics (a function of data and
parameter estimates) as new data arrive. These quantities eliminate the need to
store or process the entire dataset simultaneously and offer a number of
desirable features. Often, these include a reduction in memory requirements and
runtime and improved mixing, along with state-of-the-art parameter inference
and prediction. These improvements are demonstrated through several
illustrative examples including an application to high dimensional compressed
regression. Finally, we show that C-DF samples converge to the target posterior
distribution asymptotically as sampling proceeds and more data arrives.


title: Radiation processes in solar energetics

abstract:
  The ways of creating of nanoscale systems (conducting filaments) in the
ordered structure of a doped semiconductor in the aspect of the modern problems
of nanotechnology to improve solar cells. Nuclear methods and processes of
interaction of relativistic particles - gamma quants, electrons, protons,
neutrons, and fragments of heavy elements with atoms of matter are used,
radiation processes of cluster formation and directed Coulomb explosion are
applied for formation of the ordered conducting structures.


title: Distance-redshift relation in plane symmetric universes

abstract:
  Distance measurements are usually thought to probe the background metric of
the universe, but in reality the presence of perturbations will lead to
deviations from the result expected in an exactly homogeneous and isotropic
universe. At least in principle the presence of perturbations could even
explain the observed distance-redshift relation without the need for dark
energy. In this paper we re-investigate a toy model where perturbations are
plane symmetric, and for which exact solutions are known in the fluid limit.
However, if perturbations are large, shell-crossing occurs and the fluid
approximation breaks down. This prevents the study of the most interesting
cases. Here we use a general-relativistic N-body simulation that does not
suffer from this problem and which allows us to go beyond previous works. We
show that even for very large plane-symmetric perturbations we are not able to
mimic the observed distance-redshift relation. We also discuss how the
synchronous comoving gauge breaks down when shell-crossing occurs, while metric
perturbations in the longitudinal gauge remain small. For this reason the
longitudinal (Newtonian) gauge appears superior for relativistic N-body
simulations of large-scale structure formation.


title: Some Comments on the Holographic Heavy Quark Potential in a Thermal Bath

abstract:
  The heavy quark potential of a thermal Yang-Mills theory in strong coupling
limit is explored in terms of the holographic principle. With a fairly general
AdS/QCD metric the heavy quark potential displays a kink-like screening in the
plasma phase. This behavior may conflict the causality of a field theory that
is mathematically equivalent to the thermal Yang-Mills.


title: On extensions of two results due to Ramanujan

abstract:
  The aim in this note is to provide a generalization of an interesting entry
in Ramanujan's Notebooks that relate sums involving the derivatives of a
function Phi(t) evaluated at 0 and 1. The generalization obtained is derived
with the help of expressions for the sum of terminating 3F2 hypergeometric
functions of argument equal to 2, recently obtained in Kim et al. [Two results
for the terminating 3F2(2) with applications, Bull. Korean Math. Soc. 49 (2012)
pp. 621{633]. Several special cases are given. In addition we generalize a
summation formula to include integral parameter differences.


title: Optical excitation of phase modes in strongly disordered superconductors

abstract:
  According to the Goldstone theorem the breaking of a continuous U(1) symmetry
comes along with the existence of low-energy collective modes. In the context
of superconductivity these excitations are related to the phase of the
superconducting (SC) order parameter and for clean systems are optically
inactive. Here we show that for strongly disordered superconductors phase modes
acquire a dipole moment and appear as a subgap spectral feature in the optical
conductivity. This finding is obtained with both a gauge-invariant random-phase
approximation scheme based on a fermionic Bogoliubov-de Gennes state as well as
with a prototypical bosonic model for disordered superconductors. In the
strongly disordered regime, where the system displays an effective granularity
of the SC properties, the optically active dipoles are linked to the isolated
SC islands, offering a new perspective for realizing microwave optical devices.


title: On Lattice-Free Orbit Polytopes

abstract:
  Given a permutation group acting on coordinates of $\mathbb{R}^n$, we
consider lattice-free polytopes that are the convex hull of an orbit of one
integral vector. The vertices of such polytopes are called \emph{core points}
and they play a key role in a recent approach to exploit symmetry in integer
convex optimization problems. Here, naturally the question arises, for which
groups the number of core points is finite up to translations by vectors fixed
by the group. In this paper we consider transitive permutation groups and prove
this type of finiteness for the $2$-homogeneous ones. We provide tools for
practical computations of core points and obtain a complete list of
representatives for all $2$-homogeneous groups up to degree twelve. For
transitive groups that are not $2$-homogeneous we conjecture that there exist
infinitely many core points up to translations by the all-ones-vector. We prove
our conjecture for two large classes of groups: For imprimitive groups and
groups that have an irrational invariant subspace.


title: Hermite Polynomials and Quasi-classical Asymptotics

abstract:
  We study an unorthodox variant of the Berezin-Toeplitz type of quantization
scheme, on a reproducing kernel Hilbert space generated by the real Hermite
polynomials and work out the associated semi-classical asymptotics.


title:
Recent progress in the theory of Nonlinear Diffusion with Fractional
  Laplacian Operators

abstract:
  We report on recent progress in the study of nonlinear diffusion equations
involving nonlocal, long-range diffusion effects. Our main concern is the
so-called fractional porous medium equation, $\partial_t u
+(-\Delta)^{s}(u^m)=0$, and some of its generalizations. Contrary to usual
porous medium flows, the fractional version has infinite speed of propagation
for all exponents $0<s<1$ and $m>0$; on the other hand, it also generates an
$L^1$-contraction semigroup which depends continuously on the exponent of
fractional differentiation and the exponent of the nonlinearity.
  After establishing the general existence and uniqueness theory, the main
properties are described: positivity, regularity, continuous dependence, a
priori estimates, Schwarz symmetrization, among others. Self-similar solutions
are constructed (fractional Barenblatt solutions) and they explain the
asymptotic behaviour of a large class of solutions. In the fast diffusion range
we study extinction in finite time and we find suitable special solutions. We
discuss KPP type propagation. We also examine some related equations that
extend the model and briefly comment on current work.


title: Transverse-Distance Dependent Parton Densities in the Large-$x$ Regime

abstract:
  QCD factorization approach in the field-theoretic description of the
semi-inclusive hadronic processes in the large Bjorken $x$ approximation
implies extraction of the three-dimensional parton distribution functions as a
convolution of a collinear jet function and soft transverse-distance dependent
(TDD) function defined as a vacuum average of a partially light-like Wilson
loop. The soft function can be interpreted, therefore, as an element of
generalized loop space. A class of classically conformal-invariant
transformations of the elements of this space is generated by the non-local
area derivative operator which corresponds to a diffeomorphism in the loop
space and determines equations of motion, the latter being associated with the
rapidity evolution of the soft TDD functions. We propose a large-$x$ TDD
factorization framework and discuss practical applications of this approach to
the phenomenology of the TDDs accessible in future experimental programs at the
Jefferson Lab 12 GeV and the Electron-Ion Collider.


title:
Radial Stellar Pulsation and Three-Dimensional Convection. III.
  Comparison of Two-Dimensional and Three-Dimensional Convection Effects on
  Radial Pulsation

abstract:
  We have developed a multidimensional radiation hydrodynamics code to simulate
the interaction of radial stellar pulsation and convection for full amplitude
pulsating models. Convection is computed using large eddy simulations. Here we
perform three-dimensional simulations of RR Lyrae stars for comparison with
previously reported two-dimensional simulations. We find that the time
dependent behavior of the peak convective flux on pulsation phase is very
similar in both the two-dimensional and three-dimensional calculations. The
growth rates of the pulsation in the two-dimensional calculations are about
$0.1\%$ higher than in the three-dimensional calculations.The amplitude of the
light curve for a 6500 K RR Lyrae model is essentially the same for our 2D and
3D calculations, as is the rising light curve. There are differences in slope
at various times during falling light.


title:
Semi-Dirichlet forms, Feynman-Kac functionals and the Cauchy problem for
  semilinear parabolic equations

abstract:
  In the first part of the paper we prove various results on regularity of
Feynman-Kac functionals of Hunt processes associated with time dependent
semi-Dirichlet forms. In the second part we study the Cauchy problem for
semilinear parabolic equations with measure data involving operators associated
with time-dependent forms. Model examples are non-symmetric divergence form
operators and fractional laplacians with possibly variable exponents. We first
introduce a definition of a solution resembling Stampacchia's definition in the
sense of duality and then, using the results of the first part, we prove the
existence, uniqueness and regularity of solutions of the problem under mild
assumptions on the data.


title: Can Dark Matter explain the Braking Index of Neutron Stars?

abstract:
  We explore a new mechanism of slowing down the rotation of neutron stars via
accretion of millicharged dark matter.
  We find that this mechanism yields pulsar braking indices that can be
substantially smaller than the standard $n\sim 3$ of the magnetic dipole
radiation model for millicharged dark matter particles that are not excluded by
existing experimental constraints thus accommodating existing observations.


title: Determining Fuchsian groups by their finite quotients

abstract:
  Let $\C(\Gamma)$ be the set of isomorphism classes of the finite groups that
are homomorphic images of $\Gamma$. We investigate the extent to which
$\C(\Gamma)$ determines $\Gamma$ when $\Gamma$ is a group of geometric
interest. If $\Gamma_1$ is a lattice in ${\rm{PSL}}(2,\R)$ and $\Gamma_2$ is a
lattice in any connected Lie group, then $\C(\Gamma_1) = \C(\Gamma_2)$ implies
that $\Gamma_1$ is isomorphic to $\Gamma_2$. If $F$ is a free group and
$\Gamma$ is a right-angled Artin group or a residually free group (with one
extra condition), then $\C(F)=\C(\Gamma)$ implies that $F\cong\Gamma$. If
$\Gamma_1<{\rm{PSL}}(2,\Bbb C)$ and $\Gamma_2< G$ are non-uniform arithmetic
lattices, where $G$ is a semi-simple Lie group with trivial centre and no
compact factors, then $\C(\Gamma_1)= \C(\Gamma_2)$ implies that $G \cong
{\rm{PSL}}(2,\Bbb C)$ and that $\Gamma_2$ belongs to one of finitely many
commensurability classes.
  These results are proved using the theory of profinite groups; we do not
exhibit explicit finite quotients that distinguish among the groups in
question. But in the special case of two non-isomorphic triangle groups, we
give an explicit description of finite quotients that distinguish between them.


title:
The Disk Wind in the Rapidly Spinning Stellar-Mass Black Hole 4U
  1630-472 Observed with NuSTAR

abstract:
  We present an analysis of a short NuSTAR observation of the stellar-mass
black hole and low-mass X-ray binary 4U 1630$-$472. Reflection from the inner
accretion disk is clearly detected for the first time in this source, owing to
the sensitivity of NuSTAR. With fits to the reflection spectrum, we find
evidence for a rapidly spinning black hole, $a_{*}=0.985^{+0.005}_{-0.014}$
($1\sigma$ statistical errors). However, archival data show that the source has
relatively low radio luminosity. Recently claimed relationships between jet
power and black hole spin would predict either a lower spin or a higher peak
radio luminosity. We also report the clear detection of an absorption feature
at $7.03\pm0.03$ keV, likely signaling a disk wind. If this line arises in
dense, moderately ionized gas ($\log\xi=3.6^{+0.2}_{-0.3}$) and is dominated by
He-like Fe XXV, the wind has a velocity of $v/c=0.043^{+0.002}_{-0.007}$
(12900$^{+600}_{-2100}$ km s$^{-1}$). If the line is instead associated with a
more highly ionized gas ($\log\xi=6.1^{+0.7}_{-0.6}$), and is dominated by Fe
XXVI, evidence of a blue-shift is only marginal, after taking systematic errors
into account. Our analysis suggests the ionized wind may be launched within
200$-$1100 Rg, and may be magnetically driven.


title: The INTEGRAL high energy cut-off distribution of type 1 AGN

abstract:
  In this letter we present the primary continuum parameters, the photon index
Gamma and the high energy cut-off Ec, of 41 type-1 Seyfert galaxies extracted
from the INTEGRAL complete sample of AGN. We performed a broad band (0.3-100
keV) spectral analysis by fitting simultaneously the soft and hard X-ray
spectra obtained by XMM and INTEGRAL/IBIS-Swift/BAT respectively in order to
investigate the general properties of these parameters in particular their
distribution and mean values. We find a mean photon index for the whole sample
of 1.73 with a standard deviation of 0.17 and a mean high energy cut-off of 128
keV with a standard deviation of 46 keV. This is the first time that the
cut-off energy is constrained in a such large number of AGN. We have 26
measurements of the cut-off, which corresponds to 63% of the entire sample,
distributed between 50 and 200 keV. There are a further 11 lower limits mostly
below 300 keV. Using the main parameters of the primary continuum, we have been
able to obtain the actual physical parameters of the Comptonizing region i.e.
the plasma temperature kT_e from 20 to 100 keV and the optical depth tau <4.
Finally, with the high S/N spectra starting to come from NuSTAR it will soon be
possible to better constrain the cut-off values in many AGN, allowing the
determination of more physical models and so to better understand the continuum
emission and geometry of the region surrounding black holes.


title:
Patient-specific simulation of stent-graft deployment within an
  abdominal aortic aneurysm

abstract:
  In this study, finite element analysis is used to simulate the surgical
deployment procedure of a bifurcated stent-graft on a real patient's arterial
geometry. The stent-graft is modeled using realistic constitutive properties
for both the stent and most importantly for the graft. The arterial geometry is
obtained from pre-operative imaging exam. The obtained results are in good
agreement with the post-operative imaging data. As the whole computational time
was reduced to less than 2 hours, this study constitutes an essential step
towards predictive planning simulations of aneurysmal endovascular surgery


title:
Traveling wave solution of the Hele-Shaw model of tumor growth with
  nutrient

abstract:
  Several mathematical models of tumor growth are now commonly used to explain
medical observations and predict cancer evolution based on images. These models
incorporate mechanical laws for tissue compression combined with rules for
nutrients availability which can differ depending on the situation under
consideration, in vivo or in vitro. Numerical solutions exhibit, as expected
from medical observations, a proliferative rim and a necrotic core. However,
their precise profiles are rather complex, both in one and two dimensions.


title:
Final-state interactions effects in neutral-current neutrino and
  antineutrino cross sections at MiniBooNE kinematics

abstract:
  The analysis of the recent neutral-current elastic neutrino and
antineutrino-nucleus scattering cross sections measured by the MiniBooNE
Collaboration requires relativistic theoretical descriptions also accounting
for the role of final-state interactions. In this work we investigate the
sensitivity to final-state interactions and compare the MiniBooNE data with the
results obtained in the relativistic Green's function model with different
parameterizations for the phenomenological relativistic optical potential.


title: Left-induced model structures and diagram categories

abstract:
  We prove existence results a la Jeff Smith for left-induced model category
structures, of which the injective model structure on a diagram category is an
important example. We further develop the notions of fibrant generation and
Postnikov presentation from Hess, which are dual to a weak form of cofibrant
generation and cellular presentation. As examples, for k a field and H a
differential graded Hopf algebra over k, we produce a left-induced model
structure on augmented H-comodule algebras and show that the category of
bounded below chain complexes of finite-dimensional k-vector spaces has a
Postnikov presentation.
  To conclude, we investigate the fibrant generation of (generalized) Reedy
categories. In passing, we also consider cofibrant generation, cellular
presentation, and the small object argument for Reedy diagrams.


title: On noncommutative spherically symmetric spaces

abstract:
  Two families of noncommutative extensions are given of a general space-time
metric with spherical symmetry, both based on the matrix truncation of the
functions on the sphere of symmetry. The first family uses the truncation to
foliate space as an infinite set of spheres, is of dimension four and
necessarily time-dependent; the second can be time-dependent or static, is of
dimension five and uses the truncation to foliate the internal space.


title: Topological gravity and transgression holography

abstract:
  We show that Poincare-invariant topological gravity in even dimensions can be
formulated as a transgression field theory in one higher dimension whose gauge
connections are associated to linear and nonlinear realizations of the Poincare
group ISO(d-1,1). The resulting theory is a gauged WZW model whereby the
transition functions relating gauge fields live in the coset
ISO(d-1,1)/SO(d-1,1). The coordinate parametrizing the coset space is
identified with the scalar field in the adjoint representation of the gauge
group of the even-dimensional topological gravity theory. The supersymmetric
extension leads to topological supergravity in two dimensions starting from a
transgression field theory which is invariant under the supersymmetric
extension of the Poincare group in three dimensions. We also apply this
construction to a three-dimensional Chern-Simons theory of gravity which is
invariant under the Maxwell algebra and obtain the corresponding WZW model.


title: A MILP model for an extended version of the Flexible Job Shop Problem

abstract:
  A MILP model for an extended version of the Flexible Job Shop Scheduling
problem is proposed. The extension allows the precedences between operations of
a job to be given by an arbitrary directed acyclic graph rather than a linear
order. The goal is the minimization of the makespan. Theoretical and practical
advantages of the proposed model are discussed. Numerical experiments show the
performance of a commercial exact solver when applied to the proposed model.
The new model is also compared with a simple extension of the model described
by \"Ozg\"uven, \"Ozbakir, and Yavuz (Mathematical models for job-shop
scheduling problems with routing and process plan flexibility, Applied
Mathematical Modelling, 34:1539--1548, 2010), using instances from the
literature and instances inspired by real data from the printing industry.


title:
X-ray absorption spectroscopy characterization of iron-oxide
  nanoparticles synthesized by high temperature plasma processing

abstract:
  Iron-oxide nanoparticles have been synthesized by high temperature arc plasma
route with different plasma currents and characterized for their structure,
morphology and local atomic order. Fe K-edge x-ray absorption spectra reveal
distinct local structure of the samples grown with different plasma currents.
We have shown that the local disorder is higher for the higher plasma current
grown samples that also have a larger average particle-size. The results
provide useful information to control structural and morphological properties
of nanoparticles grown by high temperature plasma synthesis process.


title:
A Hydrazone-based Covalent Organic Framework for Photocatalytic Hydrogen
  Production

abstract:
  Covalent organic frameworks (COFs) have recently emerged as a new generation
of porous polymers combining molecular functionality with the robustness and
structural definition of crystalline solids. Drawing on the recent development
of tailor-made semiconducting COFs, we here report on a new COF capable of
visible-light driven hydrogen generation. The COF is based on hydrazone-linked
functionalized triazine and phenyl building blocks and adopts a layered
structure with a honeycomb-type lattice featuring mesopores of 3.8 nm and the
highest surface area among all hydrazone-based COFs reported to date. When
illuminated with visible light, the COF continuously produces hydrogen from
water without signs of degradation. With their precise molecular organization
and modular structure combined with high porosity, photoactive COFs represent
well-defined model systems to study and adjust the molecular entities central
to the photocatalyic process.


title:
MOCCA code for star cluster simulations - III. Stellar-mass black holes
  in the globular cluster M22

abstract:
  Using a Monte Carlo code, we construct a dynamic evolutionary model of the
Galactic globular cluster M22 (NGC6656). The initial conditions are chosen so
that, after about 12Gyr of stellar and dynamical evolution, the model is an
approximate fit to the surface brightness and velocity dispersion profiles of
the cluster, to its mass function, and to the current binary fraction.
Depending on the distribution of black hole natal kicks, we predict that the
present-day population of stellar-mass black holes ranges from about 40 (no
kicks) down to essentially zero (kicks distributed like those of neutron
stars). Provided that natal kicks do not eject all new black holes, it is
suggested that clusters with a present-day half-mass relaxation time above
about 1Gyr are the ones that may still retain an appreciable population of
black holes.


title: Universality of critical magnetic field in holographic superconductor

abstract:
  In this letter we study aspects of the holographic superconductors
analytically in the presence of a constant external magnetic field. We show
that the critical temperature and critical magnetic field can be calculated at
nonzero temperature. We detect the Meissner effect in such superconductors. A
universal relation between black hole mass $ M$ and critical magnetic field
$H_c$ is proposed as $\frac{H_c}{M^{2/3}}\leq 0.687365$. We discuss some
aspects of phase transition in terms of black hole entropy and the Bekenstein's
entropy to energy upper bound.


title: Multipath Private Communication: An Information Theoretic Approach

abstract:
  Sending private messages over communication environments under surveillance
is an important challenge in communication security and has attracted
attentions of cryptographers through time. We believe that resources other than
cryptographic keys can be used for communication privacy. We consider private
message transmission (PMT) in an abstract multipath communication model between
two communicants, Alice and Bob, in the presence of an eavesdropper, Eve. Alice
and Bob have pre-shared keys and Eve is computationally unbounded. There are a
total of $n$ paths and the three parties can have simultaneous access to at
most $t_a$, $t_b$, and $t_e$ paths. The parties can switch their paths after
every $\lambda$ bits of communication. We study perfect (P)-PMT versus
asymptotically-perfect (AP)-PMT protocols. The former has zero tolerance of
transmission error and leakage, whereas the latter allows for positive error
and leakage that tend to zero as the message length increases. We derive the
necessary and sufficient conditions under which P-PMT and AP-PMT are possible.
We also introduce explicit P-PMT and AP-PMT constructions. Our results show
AP-PMT protocols attain much higher information rates than P-PMT ones.
Interestingly, AP-PMT is possible even in poorest condition where $t_a=t_b=1$
and $t_e=n-1$. It remains however an open question whether the derived rates
can be improved by more sophisticated AP-PMT protocols.
  We study applications of our results to private communication over the
real-life scenarios of multiple-frequency links and multiple-route networks. We
show practical examples of such scenarios that can be abstracted by the
multipath setting: Our results prove the possibility of keyless
information-theoretic private message transmission at rates $17\%$ and $20\%$
for the two example scenarios, respectively. We discuss open problems and
future work at the end.


title: The Throughput of Slotted Aloha with Diversity

abstract:
  In this paper, a simple variation of classical Slotted Aloha is introduced
and analyzed. The enhancement relies on adding multiple receivers that gather
different observations of the packets transmitted by a user population in one
slot. For each observation, the packets transmitted in one slot are assumed to
be subject to independent on-off fading, so that each of them is either
completely faded, and then does not bring any power or interference at the
receiver, or it arrives unfaded, and then may or may not, collide with other
unfaded transmissions. With this model, a novel type of diversity is introduced
to the conventional SA scheme, leading to relevant throughput gains already for
moderate number of receivers. The analytical framework that we introduce allows
to derive closed-form expression of both throughput and packet loss rate an
arbitrary number of receivers, providing interesting hints on the key
trade-offs that characterize the system. We then focus on the problem of having
receivers forward the full set of collected packets to a final gateway using
the minimum possible amount of resources, i.e., avoiding delivery of duplicate
packets, without allowing any exchange of information among them. We derive
what is the minimum amount of resources needed and propose a scheme based on
random linear network coding that achieves asymptotically this bound without
the need for the receivers to coordinate among them.


title: The Pfaffian-Grassmannian equivalence revisited

abstract:
  We give a new proof of the 'Pfaffian-Grassmannian' derived equivalence
between certain pairs of non-birational Calabi-Yau threefolds. Our proof
follows the physical constructions of Hori and Tong, and we factor the
equivalence into three steps by passing through some intermediate categories of
(global) matrix factorizations. The first step is global Knoerrer periodicity,
the second comes from a birational map between Landau-Ginzburg B-models, and
for the third we develop some new techniques.


title: Quasiconformal homogeneity after Gehring and Palks

abstract:
  In a very influential paper Gehring and Palka introduced the notions of
quasiconformally homogeneous and uniformly quasiconformally homogeneous subsets
of Euclidean space. Their motivation was to provide a characterization of
quasi-disks, i.e. domains which are quasiconformally homeomorphic to the unit
disk. As a generalization, Bonfert-Taylor, Canary, Martin and Taylor initiated
the study of uniformly quasiconformally homogeneous hyperbolic manifolds. In
this paper, we review the theory of quasiconformally homogeneous subsets of
Euclidean and uniformly quasiconformally homogeneous hyperbolic manifolds. We
finish with a discussion of open problems in the theory.


title: Key features of the TMD soft-factor structure

abstract:
  We show that the geometry of the Wilson lines, entering the operator
definition of the transverse-momentum dependent parton distributions and that
of the soft factor, follows from the kinematics of the underlying physical
process in conjunction with the gauge invariance of the QCD Lagrangian. We
demonstrate our method in terms of concrete examples and determine the paths of
the associated Wilson lines. The validation of the factorization theorem in our
approach is postponed to future work.


title: Probe brane dynamics on cosmological brane backgrounds

abstract:
  We consider the dynamics of a single probe brane on various cosmological
brane backgrounds. The on-shell condition of the static probe brane leads to
the supersymmetric intersection rules for static BPS configurations, though the
cosmological backgrounds do not preserve any supersymmetries. This is a
remarkable feature associated with the cosmological backgrounds because in the
static background the on-shell condition of the static brane gives no
constraint on the brane configuration. Furthermore, it follows that under this
condition there is no velocity-independent force for the probe brane even on
the cosmological backgrounds.


title: The existence of designs

abstract:
  We prove the existence conjecture for combinatorial designs, answering a
question of Steiner from 1853. More generally, we show that the natural
divisibility conditions are sufficient for clique decompositions of simplicial
complexes that satisfy a certain pseudorandomness condition. As a further
generalisation, we obtain the same conclusion only assuming an extendability
property and the existence of a robust fractional clique decomposition.


title: Light Sea Fermions in Electron-Proton and Muon-Proton Interactions

abstract:
  The proton radius conundrum [R. Pohl et al., Nature vol.466, p.213 (2010) and
A. Antognini et al., Science vol.339, p.417 (2013)] highlights the need to
revisit any conceivable sources of electron-muon nonuniversality in
lepton-proton interactions within the Standard Model. Superficially, a number
of perturbative processes could appear to lead to such a nonunversality. One of
these is a coupling of the scattered electron into an electronic as opposed to
a muonic vacuum polarization loop in the photon exchange of two valence quarks,
which is present only for electron projectiles as opposed to muon projectiles.
However, we can show that this effect actually is part of the radiative
correction to the proton's polarizability contribution to the Lamb shift,
equivalent to a radiative correction to double scattering. We conclude that any
conceivable genuine nonuniversality must be connected with a nonperturbative
feature of the proton's structure, e.g., with the possible presence of light
sea fermions as constituent components of the proton. If we assume an average
of roughly 0.7*10^(-7) light sea positrons per valence quark, then we can show
that virtual electron-positron annihiliation processes lead to an extra term in
the electron-proton versus muon-proton interaction, which has the right sign
and magnitude to explain the proton radius discrepancy.


title: Group Testing with Prior Statistics

abstract:
  We consider a new group testing model wherein each item is a binary random
variable defined by an a priori probability of being defective. We assume that
each probability is small and that items are independent, but not necessarily
identically distributed. The goal of group testing algorithms is to identify
with high probability the subset of defectives via non-linear (disjunctive)
binary measurements. Our main contributions are two classes of algorithms: (1)
adaptive algorithms with tests based either on a maximum entropy principle, or
on a Shannon-Fano/Huffman code; (2) non-adaptive algorithms. Under loose
assumptions and with high probability, our algorithms only need a number of
measurements that is close to the information-theoretic lower bound, up to an
explicitly-calculated universal constant factor. We provide simulations to
support our results.


title: The existence and abundance of ghost ancestors in biparental populations

abstract:
  In a randomly-mating biparental population of size $N$ there are, with high
probability, individuals who are genealogical ancestors of every extant
individual within approximately $\log_2(N)$ generations into the past. We use
this result of J. Chang to prove a curious corollary under standard models of
recombination: there exist, with high probability, individuals within a
constant multiple of $ \log_2(N)$ generations into the past who are
simultaneously (i) genealogical ancestors of {\em each} of the individuals at
the present, and (ii) genetic ancestors to {\em none} of the individuals at the
present. Such ancestral individuals - ancestors of everyone today that left no
genetic trace -- represent `ghost' ancestors in a strong sense. In this short
note, we use simple analytical argument and simulations to estimate how many
such individuals exist in finite Wright-Fisher populations.


title:
Hrebs and Cohesion Chains as similar tools for semantic text properties
  research

abstract:
  In this study it is proven that the Hrebs used in Denotation analysis of
texts and Cohesion Chains (defined as a fusion between Lexical Chains and
Coreference Chains) represent similar linguistic tools. This result gives us
the possibility to extend to Cohesion Chains (CCs) some important indicators
as, for example the Kernel of CCs, the topicality of a CC, text concentration,
CC-diffuseness and mean diffuseness of the text. Let us mention that nowhere in
the Lexical Chains or Coreference Chains literature these kinds of indicators
are introduced and used since now. Similarly, some applications of CCs in the
study of a text (as for example segmentation or summarization of a text) could
be realized starting from hrebs. As an illustration of the similarity between
Hrebs and CCs a detailed analyze of the poem "Lacul" by Mihai Eminescu is
given.


title:
Better Approximation Algorithms for Maximum Asymmetric Traveling
  Salesman and Shortest Superstring

abstract:
  In the maximum asymmetric traveling salesman problem (Max ATSP) we are given
a complete directed graph with nonnegative weights on the edges and we wish to
compute a traveling salesman tour of maximum weight. In this paper we give a
fast combinatorial $\frac 34$-approximation algorithm for Max ATSP. It is based
on a novel use of {\it half-edges}, matchings and a new method of edge
coloring. (A {\it half-edge} of edge $(u,v)$ is informally speaking "either a
head or a tail of $(u,v)$".) The current best approximation algorithms for Max
ATSP, achieving the approximation guarantee of $\frac 23$, are due to Kaplan,
Lewenstein, Shafrir and Sviridenko and Elbassioni, Paluch, van Zuylen. Using a
recent result by Mucha, which states that an $\alpha$-approximation algorithm
for Max ATSP implies a $(2+\frac{11(1-\alpha)}{9-2\alpha})$-approximation
algorithm for the shortest superstring problem (SSP), we obtain also a $(2
\frac{11}{30} \approx 2,3667)$-approximation algorithm for SSP, beating the
previously best known (having approximation factor equal to $2 \frac{11}{23}
\approx 2,4782$.)


title:
Plasmon ruler with gold nanorod dimers: utilizing the second-order
  resonance

abstract:
  The idea of utilizing the second-order plasmon resonance of the gold nanorod
{\pi}-dimers for plasmon rulers is introduced. We report on a qualitatively
different dependence of the plasmon resonance shift on the interparticle
distance for the first- and second-order longitudinal modes, extending the
working range of plasmon rulers up to the distance values of 400 nm.


title:
Large N phase transitions in supersymmetric Chern-Simons theory with
  massive matter

abstract:
  We study three-dimensional {\cal N}=2 U(N) Chern-Simons theory on S^3 coupled
to 2N_f chiral multiplets deformed by mass terms. The partition function
localizes to a matrix integral, which can be exactly computed in the large N
limit. In a specific decompactification limit, the theory exhibits quantum
(third-order) phase transitions at finite critical values of the coupling. The
theory presents three phases when 0 < N_f < N and two phases when N_f\geq N.
The vacuum expectation value of the supersymmetric circular Wilson loop has a
discontinuity in the first derivative.


title: Unveiling the atmospheres of giant exoplanets with an EChO-class mission

abstract:
  More than a thousand exoplanets have been discovered over the last decade.
Perhaps more excitingly, probing their atmospheres has become possible. With
current data we have glimpsed the diversity of exoplanet atmospheres that will
be revealed over the coming decade. However, numerous questions concerning
their chemical composition, thermal structure, and atmospheric dynamics remain
to be answered. More observations of higher quality are needed. In the next
years, the selection of a space-based mission dedicated to the spectroscopic
characterization of exoplanets would revolutionize our understanding of the
physics of planetary atmospheres. Such a mission was proposed to the ESA cosmic
vision program in 2014. Our paper is therefore based on the planned
capabilities of the Exoplanet Characterization Observatory (EChO), but it
should equally apply to any future mission with similar characteristics. With
its large spectral coverage ($4-16\, \rm{\mu m}$), high spectral resolution
($\Delta\lambda/\lambda>300$ below $5\,\rm{\mu m}$ and
$\Delta\lambda/\lambda>30$ above $5\,\rm{\mu m}$) and $1.5\rm{m}$ mirror, a
future mission such as EChO will provide spectrally resolved transit
lightcurves, secondary eclipses lightcurves, and full phase curves of numerous
exoplanets with an unprecedented signal-to-noise ratio. In this paper, we
review some of today's main scientific questions about gas giant exoplanets
atmospheres, for which a future mission such as EChO will bring a decisive
contribution.


title:
Wireless Video Multicast with Cooperative and Incremental Transmission
  of Parity Packets

abstract:
  In this paper, a cooperative multicast scheme that uses Randomized
Distributed Space Time Codes (R-DSTC), along with packet level Forward Error
Correction (FEC), is studied. Instead of sending source packets and/or parity
packets through two hops using R-DSTC as proposed in our prior work, the new
scheme delivers both source packets and parity packets using only one hop.
After the source station (access point, AP) first sends all the source packets,
the AP as well as all nodes that have received all source packets together send
the parity packets using R-DSTC. As more parity packets are transmitted, more
nodes can recover all source packets and join the parity packet transmission.
The process continues until all nodes acknowledge the receipt of enough packets
for recovering the source packets. For each given node distribution, the
optimum transmission rates for source and parity packets are determined such
that the video rate that can be sustained at all nodes is maximized. This new
scheme can support significantly higher video rates, and correspondingly higher
PSNR of decoded video, than the prior approaches. Three suboptimal approaches,
which do not require full information about user distribution or the feedback,
and hence are more feasible in practice are also presented. The proposed
suboptimal scheme with only the node count information and without feedback
still outperforms our prior approach that assumes full channel information and
no feedback.


title:
Partial Strategyproofness: Relaxing Strategyproofness for the Random
  Assignment Problem

abstract:
  We present partial strategyproofness, a new, relaxed notion of
strategyproofness for studying the incentive properties of non-strategyproof
assignment mechanisms. Informally, a mechanism is partially strategyproof if it
makes truthful reporting a dominant strategy for those agents whose preference
intensities differ sufficiently between any two objects. We demonstrate that
partial strategyproofness is axiomatically motivated and yields a parametric
measure for "how strategyproof" an assignment mechanism is. We apply this new
concept to derive novel insights about the incentive properties of the
probabilistic serial mechanism and different variants of the Boston mechanism.


title:
Dielectric relaxation and electrical conductivity in lead-free
  (100-x)(Li0.12Na0.88)NbO3-xBaTiO3 (0 to x to 40) piezoelectric ceramics: An
  impedance spectroscopic study

abstract:
  Dielectric behavior and conductivity mechanism in lead-free
(100-x)(Li0.12Na0.88)NbO3-xBaTiO3 (0 to x to 40) piezoelectric ceramics were
investigated using impedance spectroscopy over a wide temperature (-100 oC
to500 oC) and frequency range (0.1 Hz to1 MHz). The grain and grain boundary
response as well as the relaxation processes at different frequencies and
temperatures were also discussed. A low frequency dispersion in dielectric
permittivity (LFDD), a typical characteristic of high-temperature behavior was
observed both below and above the ferro-paraelectric phase transition
temperature, Tm. Oxygen-defect-related complexes generated due to acceptor type
doping were found to play an important role in LFDD and hopping conduction. The
dielectric relaxation follows Jonscher universal law, however LFDD is found to
be associated with quasi-DC process (QCD). The activation energies of DC
conduction confirm the mechanism as the thermal motion (short range hopping) of
doubly ionized oxygen vacancies. At high temperature, the conductivity
relaxation mechanism is dominated by grain boundary conduction through hopping
electron created by the charge compensating oxygen vacancies.


title:
The Ginibre Point Process as a Model for Wireless Networks with
  Repulsion

abstract:
  The spatial structure of transmitters in wireless networks plays a key role
in evaluating the mutual interference and hence the performance. Although the
Poisson point process (PPP) has been widely used to model the spatial
configuration of wireless networks, it is not suitable for networks with
repulsion. The Ginibre point process (GPP) is one of the main examples of
determinantal point processes that can be used to model random phenomena where
repulsion is observed. Considering the accuracy, tractability and
practicability tradeoffs, we introduce and promote the $\beta$-GPP, an
intermediate class between the PPP and the GPP, as a model for wireless
networks when the nodes exhibit repulsion. To show that the model leads to
analytically tractable results in several cases of interest, we derive the mean
and variance of the interference using two different approaches: the Palm
measure approach and the reduced second moment approach, and then provide
approximations of the interference distribution by three known probability
density functions. Besides, to show that the model is relevant for cellular
systems, we derive the coverage probability of the typical user and also find
that the fitted $\beta$-GPP can closely model the deployment of actual base
stations in terms of the coverage probability and other statistics.


title: Electronic transport in BN-substituted bilayer graphene nano-junctions

abstract:
  We investigated a suspended bilayer graphene where the bottom (top) layer is
doped by boron (nitrogen) substitutional atoms by using Density Functional
Theory (DFT) calculations. We found that at high dopant concentration (one B-N
pair every 32 C atoms) the electronic structure of the bilayer does not depend
on the B-N distance but on the relative occupation of the bilayer graphene
sub-lattices by B and N. We found that a large built in electric field is
established between layers, giving rise to an energy gap. We further
investigated the transport properties and found that intra-layer electron
current is weakly influenced by the presence of these dopants while the
inter-layer current is significantly enhanced for biases allowing the energy
alignment of N and B states. This effect leads to current rectification in
asymmetric junctions.


title: Time-dependent singularities in the Navier-Stokes system

abstract:
  We show that, for a given H\"older continuous curve in $\{(\gamma(t),t)\,:\,
t>0\} \subset R^3\times R^+$, there exists a solution to the Navier-Stokes
system for an incompressible fluid in $R^3$ which is smooth outside this curve
and singular on it. This is a pointwise solution of the system outside the
curve, however, as a distributional solution on $R^3\times R^+$, it solves an
analogous Navier-Stokes system with a singular force concentrated on the curve.


title:
Large enhancement of emergent magnetic fields in MnSi with impurities
  and pressure

abstract:
  We report a study of the topological Hall effect (THE) in Fe-doped MnSi and
compare with results from pure MnSi under pressure. We find that Fe doping
increases the THE, indicating an enhancement of the magnitude of the emergent
gauge field. This is consistent with the concurrent reduction in the length
scale of the skyrmion lattice. For both pressurized and doped samples, we
calculate the emergent magnetic field based on the size of the measured THE,
and compare it with a theoretical upper-bound. We find that the ratio of these
two remains more or less constant with pressure or Fe doping, but differs
greatly from that of pure MnSi at ambient pressure. We discuss the implications
of this ratio with respect to trends in the saturated magnetic moment and
helical pitch length as T_C \rightarrow 0 via doping and pressure,
respectively.


title: Multivalued Monotone Stochastic Differential Equations with Jumps

abstract:
  We study multivalued stochastic differential equations (MSDEs) with maximal
monotone operators driven by semimartingales with jumps. We discuss in detail
some methods of approximation of solutions of MSDEs based on discretization of
processes and Yosida approximation of the monotone operator. We also study the
general problem of stability of solutions of MSDEs with respect to the
convergence of driving semimartingales.


title:
Broadcast Classical-Quantum Capacity Region of Two-Phase Bidirectional
  Relaying Channel

abstract:
  We study a three-node quantum network which enables bidirectional
communication between two nodes with a half-duplex relay node. A
decode-and-forward protocol is used to perform the communication in two phases.
In the first phase, the messages of two nodes are transmitted to the relay
node. In the second phase, the relay node broadcasts a re-encoded composition
to the two nodes. We determine the capacity region of the broadcast phase.


title:
$\mathcal R\!\raise2pt\hbox{$\varepsilon$}\!\hbox{$\mathcal L$}$: A
  Fault Tolerance Linguistic Structure for Distributed Applications

abstract:
  The embedding of fault tolerance provisions into the application layer of a
programming language is a non-trivial task that has not found a satisfactory
solution yet. Such a solution is very important, and the lack of a simple,
coherent and effective structuring technique for fault tolerance has been
termed by researchers in this field as the "software bottleneck of system
development". The aim of this paper is to report on the current status of a
novel fault tolerance linguistic structure for distributed applications
characterized by soft real-time requirements. A compliant prototype
architecture is also described. The key aspect of this structure is that it
allows to decompose the target fault-tolerant application into three distinct
components, respectively responsible for (1) the functional service, (2) the
management of the fault tolerance provisions, and (3) the adaptation to the
current environmental conditions. The paper also briefly mentions a few case
studies and preliminary results obtained exercising the prototype.


title: A nonintrusive Reduced Basis Method applied to aeroacoustic simulations

abstract:
  The Reduced Basis Method can be exploited in an efficient way only if the
so-called affine dependence assumption on the operator and right-hand side of
the considered problem with respect to the parameters is satisfied. When it is
not, the Empirical Interpolation Method is usually used to recover this
assumption approximately. In both cases, the Reduced Basis Method requires to
access and modify the assembly routines of the corresponding computational
code, leading to an intrusive procedure. In this work, we derive variants of
the EIM algorithm and explain how they can be used to turn the Reduced Basis
Method into a nonintrusive procedure. We present examples of aeroacoustic
problems solved by integral equations and show how our algorithms can benefit
from the linear algebra tools available in the considered code.


title:
Improved analysis of D2-sampling based PTAS for k-means and other
  Clustering problems

abstract:
  We give an improved analysis of the simple $D^2$-sampling based PTAS for the
$k$-means clustering problem given by Jaiswal, Kumar, and Sen (Algorithmica,
2013). The improvement on the running time is from $O\left(nd \cdot
2^{\tilde{O}(k^2/\epsilon)}\right)$ to $O\left(nd \cdot
2^{\tilde{O}(k/\epsilon)}\right)$.


title: Resolving sets for breaking symmetries of graphs

abstract:
  This paper deals with the maximum value of the difference between the
determining number and the metric dimension of a graph as a function of its
order. Our technique requires to use locating-dominating sets, and perform an
independent study on other functions related to these sets. Thus, we obtain
lower and upper bounds on all these functions by means of very diverse tools.
Among them are some adequate constructions of graphs, a variant of a classical
result in graph domination and a polynomial time algorithm that produces both
distinguishing sets and determining sets. Further, we consider specific
families of graphs where the restrictions of these functions can be computed.
To this end, we utilize two well-known objects in graph theory: $k$-dominating
sets and matchings.


title: $2^3$ Quantified Boolean Formula Games and Their Complexities

abstract:
  Consider QBF, the Quantified Boolean Formula problem, as a combinatorial game
ruleset. The problem is rephrased as determining the winner of the game where
two opposing players take turns assigning values to boolean variables. In this
paper, three common variations of games are applied to create seven new games:
whether each player is restricted to where they may play, which values they may
set variables to, or the condition they are shooting for at the end of the
game. The complexity for determining which player can win is analyzed for all
games. Of the seven, two are trivially in P and the other five are
PSPACE-complete. These varying properties are common for combinatorial games;
reductions from these five hard games can simplify the process for showing the
PSPACE-hardness of other games.


title: Wakes in inhomogeneous plasmas

abstract:
  The Debye shielding of a charge immersed in a flowing plasma is an old
classic problem in plasma physics. It has been given renewed attention in the
last two decades in view of experiments with complex plasmas, where charged
dust particles are often levitated in a region with strong ion flow. Efforts to
describe the shielding of the dust particles in such conditions have been
focused on the homogeneous plasma approximation, which ignores the substantial
inhomogeneity of the levitation region. We address the role of the plasma
inhomogeneity by rigorously calculating the point charge potential in the
collisionless Bohm sheath. We demonstrate that the inhomogeneity can
dramatically modify the wake, making it non-oscillatory and weaker.


title: Improved light quark masses from pseudoscalar sum rules

abstract:
  Using ratios of the inverse Laplace transform sum rules within stability
criteria for the subtraction point \mu in addition to the ones of the usual tau
spectral sum rule variable and continuum threshold t_c, we extract the
\pi(1300) and K(1460) decay constants to order \alpha_s^4 of perturbative QCD
by including power corrections up to dimension-six condensates, tachyonic gluon
mass, instanton and finite width corrections. Using these inputs with enlarged
generous errors, we extract, in a model-independent and conservative ways, the
sum of the scale-independent renormalization group invariant (RGI) quark masses
(m_u+ m_q):q\equiv d,s and the corresponding running masses (m_u+m_q) evaluated
at 2 GeV. By giving the value of the ratio m_u/m_d, we deduce the running quark
masses m_{u,d,s} and condensate <\bar uu> and the scale-independent mass ratios
: 2m_s/(m_u+m_d) and m_s/m_d. Using the positivity of the QCD continuum
contribution to the spectral function, we also deduce, from the inverse Laplace
transform sum rules, for the first time to order \alpha_s^4, new lower bounds
on the RGI masses which are translated into the running masses at 2 GeV and
into upper bounds on the running quark condensate <\bar uu>. Our results
summarized in Table 2 and compared with our previous results and with recent
lattice averages suggest that precise phenomenological determinations of the
sum of light quark masses require improved experimental measurements of the
\pi(1.3) and K(1.46) hadronic widths and/or decay constants which are the
dominant sources of errors in the analysis.


title: FindStat - the combinatorial statistics database

abstract:
  The FindStat project at www.FindStat.org provides an online platform for
mathematicians, particularly for combinatorialists, to gather information about
combinatorial statistics and their relations. This outline provides an overview
over the project.


title:
Characterizing matrices with $X$-simple image eigenspace in max-min
  semiring

abstract:
  A matrix $A$ is said to have $X$-simple image eigenspace if any eigenvector
$x$ belonging to the interval $X=\{x\colon \underline{x}\leq
x\leq\overline{x}\}$ is the unique solution of the system $A\otimes y=x$ in
$X$. The main result of this paper is a combinatorial characterization of such
matrices in the linear algebra over max-min (fuzzy) semiring.
  The characterized property is related to and motivated by the general
development of tropical linear algebra and interval analysis, as well as the
notions of simple image set and weak robustness (or weak stability) that have
been studied in max-min and max-plus algebras.


title:
The GTC exoplanet transit spectroscopy survey I: OSIRIS transmission
  spectroscopy of the short period planet WASP-43b

abstract:
  We used GTC instrument OSIRIS to obtain long-slit spectra in the optical
range (520-1040 nm) of the planetary host star WASP-43 (and a reference star)
during a full primary transit event and four partial transit observations. We
integrated the stellar flux of both stars in different wavelength regions
producing several light curves. We fitted transit models to these curves to
measure the star-to-planet radius ratio, Rp/Rs, across wavelength among other
physical parameters. We measure a Rp/Rs in the white light curve of
0.15988^{+0.00133}_{-0.00145}. We present a tentative detection of an excess in
the planet-to-star radius ratio around the Na I doublet (588.9 nm, 589.5 nm)
when compared to the nearby continuum at the 2.9-sigma level. We find no
significant excess of the measured planet-to-star radius ratio around the K I
doublet (766.5 nm, 769.9 nm) when compared to the nearby continuum. Combining
our observations with previous published epochs, we refine the estimation of
the orbital period. Using a linear ephemeris, we obtained a period of
P=0.81347385 +/- 1.5 x 10^{-7} days. Using a quadratic ephemeris, we obtained a
period of 0.81347688 +/- 8.6 x 10^{-7} days, and a change in this parameter of
dP/dt = -0.15 +/- 0.06 sec/year. As previous results, this hints to the orbital
decay of this planet although a timing analysis over several years needs to be
made in order to confirm this.


title:
Dissecting the origin of the submillimeter emission in nearby galaxies
  with Herschel and LABOCA

abstract:
  We model the infrared to submillimeter spectral energy distribution of 11
nearby galaxies of the KINGFISH sample using Spitzer and Herschel data and
compare model extrapolations at 870um (using different fitting techniques) with
LABOCA 870um observations. We investigate how the differences between
predictions and observations vary with model assumptions or environment. At
global scales, we find that modified blackbody models using realistic cold
emissivity indices (beta_c=2 or 1.5) are able to reproduce the 870um observed
emission within the uncertainties for most of the sample. Low values
(beta_c<1.3) would be required in NGC0337, NGC1512 and NGC7793. At local
scales, we observe a systematic 870um excess when using beta_=2.0. The
beta_c=1.5 or the Draine and Li (2007) models can reconcile predictions with
observations in part of the disks. Some of the remaining excesses occur towards
the centres and can be partly or fully accounted for by non-dust contributions
such as CO(3-2) or, to a lesser extent, free-free or synchrotron emission. In
three non-barred galaxies, the remaining excesses rather occur in the disk
outskirts. This could be a sign of a flattening of the submm slope (and
decrease of the effective emissivity index) with radius in these objects.


title: Cosmology with Doppler Lensing

abstract:
  Doppler lensing is the apparent change in object size and magnitude due to
peculiar velocities. Objects falling into an overdensity appear larger on its
near side, and smaller on its far side, than typical objects at the same
redshifts. This effect dominates over the usual gravitational lensing
magnification at low redshift. Doppler lensing is a promising new probe of
cosmology, and we explore in detail how to utilize the effect with forthcoming
surveys. We present cosmological simulations of the Doppler and gravitational
lensing effects based on the Millennium simulation. We show that Doppler
lensing can be detected around stacked voids or unvirialised over-densities.
New power spectra and correlation functions are proposed which are designed to
be sensitive to Doppler lensing. We consider the impact of gravitational
lensing and intrinsic size correlations on these quantities. We compute the
correlation functions and forecast the errors for realistic forthcoming
surveys, providing predictions for constraints on cosmological parameters.
Finally, we demonstrate how we can make 3-D potential maps of large volumes of
the Universe using Doppler lensing.


title:
The walk on moving spheres: a new tool for simulating Brownian motion's
  exit time from a domain

abstract:
  In this paper we introduce a new method for the simulation of the exit time
and position of a $\delta$-dimensional Brownian motion from a domain. The main
interest of our method is that it avoids splitting time schemes as well as
inversion of complicated series. The idea is to use the connexion between the
$\delta$-dimensional Bessel process and the $\delta$-dimensional Brownian
motion thanks to an explicit Bessel hitting time distribution associated with a
particular curved boundary. This allows to build a fast and accurate numerical
scheme for approximating the hitting time. Numerical comparisons with existing
methods are performed.


title: Coherence properties of coupled optomechanical cavities

abstract:
  In this work we investigate an optomechanical system consisting of two
cavities coupled to the same mechanical resonator. We consider each cavity
being weakly pumped as well as a small tunneling rate between the cavities. In
such conditions, the system can be studied via quantum Langevin equations and
the steady state solution can be found perturbatively. In order to ensure that
the approximations and methods used to study the system are suitable, the
analytical results were compared to numerical simulations. We study the
statistical properties of the cavity radiation fields and we show that
depending on the values of the parameters of the system, it is possible to
modify the spectrum of the cavities and even enhance the sub-Poissonian
character of the cavity field.


title: Minimal AdS-Lorentz supergravity in three-dimensions

abstract:
  The $\mathcal{N}=1$ AdS-Lorentz superalgebra is studied and its relationship
to semigroup expansion developed. Using this mathematical tool, the invariant
tensors and Casimir operators are found. In terms of these invariants, a
three-dimensionnal Chern--Simons supergravity action with AdS-Lorentz symmetry
is constructed. The Killing spinors for a BTZ black-hole like solution of the
theory are discussed.


title: The Double Contact Nature of TT Herculis

abstract:
  We present new radial velocities and photometry of the short-period Algol TT
Herculis. Previous attempts to model the light curves of the system have met
with limited success, primarily because of the lack of a reliable mass ratio.
Our spectroscopic observations are the first to result in radial velocities for
the secondary star, and thus provide a spectroscopic mass ratio. Simultaneous
analysis of the radial velocities and new photometry shows that the system is a
double contact binary, with a rapidly rotating primary that fills its limiting
lobe.


title: Exploring the "Rubik's Magic" universe

abstract:
  By using two different invariants for the Rubik's Magic puzzle, one of metric
type, the other of topological type, we can dramatically reduce the universe of
constructible configurations of the puzzle. Finding the set of actually
constructible shapes remains however a challenging task, that we tackle by
first reducing the target shapes to specific configurations: the octominoid 3D
shapes, with all tiles parallel to one coordinate plane; and the planar
"face-up" shapes, with all tiles (considered of infinitesimal width) lying in a
common plane and without superposed consecutive tiles. There are still plenty
of interesting configurations that do not belong to either of these two
collections. The set of constructible configurations (those that can be
obtained by manipulation of the undecorated puzzle from the starting situation)
is a subset of the set of configurations with vanishing invariants. We were
able to actually construct all octominoid shapes with vanishing invariants and
most of the planar "face-up" configurations. Particularly important is the
topological invariant, of which we recently found mention in a paper by Tom
Verhoeff.


title: Convex Relaxations of SE(2) and SE(3) for Visual Pose Estimation

abstract:
  This paper proposes a new method for rigid body pose estimation based on
spectrahedral representations of the tautological orbitopes of $SE(2)$ and
$SE(3)$. The approach can use dense point cloud data from stereo vision or an
RGB-D sensor (such as the Microsoft Kinect), as well as visual appearance data.
The method is a convex relaxation of the classical pose estimation problem, and
is based on explicit linear matrix inequality (LMI) representations for the
convex hulls of $SE(2)$ and $SE(3)$. Given these representations, the relaxed
pose estimation problem can be framed as a robust least squares problem with
the optimization variable constrained to these convex sets. Although this
formulation is a relaxation of the original problem, numerical experiments
indicate that it is indeed exact - i.e. its solution is a member of $SE(2)$ or
$SE(3)$ - in many interesting settings. We additionally show that this method
is guaranteed to be exact for a large class of pose estimation problems.


title: Minimum Decision Cost for Operators

abstract:
  State discrimination with the aim to minimize the error probability is a well
studied problem. Instead, here the binary decision problem for operators with a
given prior is investigated. A black box containing the unknown operator is
probed by selected wave functions. The output is analyzed with conventional
methods developed for state discrimination. An error probability bound for all
binary operator choices is provided, and it is shown how probe entanglement
enhances the result.


title: Complete arcs arising from a generalization of the Hermitian curve

abstract:
  We investigate complete arcs of degree greater than two, in projective planes
over finite fields, arising from the set of rational points of a generalization
of the Hermitian curve. The degree of the arcs is closely related to the number
of rational points of a class of Artin-Schreier curves which is calculated by
using exponential sums via Coulter's approach. We also single out some examples
of maximal curves.


title:
Electromagnetic and gravitational responses of two-dimensional
  non-interacting electrons in background magnetic field

abstract:
  We compute electromagnetic, gravitational and mixed linear response functions
of two- dimensional free fermions in external quantizing magnetic field at an
integer filling factor. The results are presented in the form of the effective
action and as an expansion of currents and stresses in wave-vectors and
frequencies of the probing electromagnetic and metric fields. We identify the
terms in linear response functions coming from geometric Chern-Simons, Wen-Zee,
and gravitational Chern-Simons terms in effective action. We derive the
expressions for Hall conductivity, Hall viscosity and find the current and
charge density responses to the spatial curvature as well as stresses caused by
inhomogeneous electromagnetic fields.

categories: cond-mat.str-el cond-mat.mes-hall hep-th math-ph math.MP


title: Notes on counter-orbiting globular clusters in the Milky Way

abstract:
  It is argued that Galactic globular clusters rotating retrograde may
originate from prograde globular clusters that change their angular momenturm
due to gravitational perturbations from the Magellanic Cloud galaxies. It is
shown that those galactic globular clusters with orbits near the Lagrangiane
point of the system "Milky Way - Maggellanic Clouds" can change the sign of
their angular momentum in few Gyr time scale.


title: The projectors of the decomposition theorem are motivic

abstract:
  We prove that the projectors arising from the decomposition theorem applied
to a projective map of quasi projective varieties are absolute Hodge, Andr\'e
motivated, Tate and Ogus classes. As a by-product, we introduce, in
characteristic zero, the notions of algebraic de Rham intersection cohomology
groups of a quasi projective variety and of intersection cohomology motive of a
projective variety.


title:
Strong Coupling of the Iron-Quadrupole and Anion-Dipole Polarizations in
  Ba(Fe$_{1-x}$Co$_x$)$_2$As$_2$

abstract:
  We use a quantitative convergent beam electron diffraction (CBED) based
method to image the valence electron density distribution in
Ba(Fe$_{1-x}$Co$_x$)$_2$As$_2$. We show a remarkable increase in both the
charge quadrupole of the Fe cations and the charge dipole of the arsenic anions
upon Co doping from $x=0$ ($T_c=0$ K) to $x=0.1$ ($T_c=22.5$ K). Our data
suggest that an unexpected electronic correlation effect, namely strong
coupling of Fe orbital fluctuation and anion electronic polarization, is
present in iron-based superconductors.