title: Phase transitions in the Potts model on complex networks

abstract:
  The Potts model is one of the most popular spin models of statistical
physics. The prevailing majority of work done so far corresponds to the lattice
version of the model. However, many natural or man-made systems are much better
described by the topology of a network. We consider the q-state Potts model on
an uncorrelated scale-free network for which the node-degree distribution
manifests a power-law decay governed by the exponent \lambda. We work within
the mean-field approximation, since for systems on random uncorrelated
scale-free networks this method is known to often give asymptotically exact
results. Depending on particular values of q and \lambda one observes either a
first-order or a second-order phase transition or the system is ordered at any
finite temperature. In a case study, we consider the limit q=1 (percolation)
and find a correspondence between the magnetic exponents and those describing
percolation on a scale-free network. Interestingly, logarithmic corrections to
scaling appear at \lambda=4 in this case.


title:
Symmetric spaces and Lie triple systems in numerical analysis of
  differential equations

abstract:
  A remarkable number of different numerical algorithms can be understood and
analyzed using the concepts of symmetric spaces and Lie triple systems, which
are well known in differential geometry from the study of spaces of constant
curvature and their tangents. This theory can be used to unify a range of
different topics, such as polar-type matrix decompositions, splitting methods
for computation of the matrix exponential, composition of selfadjoint numerical
integrators and dynamical systems with symmetries and reversing symmetries. The
thread of this paper is the following: involutive automorphisms on groups
induce a factorization at a group level, and a splitting at the algebra level.
In this paper we will give an introduction to the mathematical theory behind
these constructions, and review recent results. Furthermore, we present a new
Yoshida-like technique, for self-adjoint numerical schemes, that allows to
increase the order of preservation of symmetries by two units. Since all the
time-steps are positive, the technique is particularly suited to stiff
problems, where a negative time-step can cause instabilities.


title:
Discovery of transient high-energy gamma-ray emission from the BL
  Lacertae object 5C 3.178

abstract:
  We report the serendipitous discovery of transient, point-like high energy
gamma-ray emission coincident with the position of the suspected BL Lac object
5C 3.178. The source was detected using the Fermi Large Area Telescope (LAT) at
a significance level of ~8 sigma during a 200 day period which began on MJD
55882. The observed gamma-ray emission is characterised by a moderate 0.2-300
GeV flux F(0.2-300 GeV)=$(8.22\pm2.04)\times10^{-9}$ ph cm$^{-2}$s$^{-1}$ and a
hard power law spectrum with spectral index $\Gamma=1.76\pm0.09$. These
properties appear consistent with the known sub-population of TeV
gamma-ray-emitting BL Lac objects, implying that the source may be detectable
using atmospheric Cherenkov telescope arrays. Moreover, the temporal
variability of the source suggests that real-time searches of the Fermi-LAT
all-sky dataset for weak emission on ~200 day timescales may represent a
rewarding strategy.


title: Scalar mesons and tetraquarks from twisted mass lattice QCD

abstract:
  We study light scalar mesons with particular focus on the a_0(980) using
lattice QCD with 2+1+1 dynamical quark flavors. To investigate the structure of
these scalar mesons and to identify, whether a sizeable tetraquark component is
present, we use a large set of operators, including diquark-antidiquark,
mesonic molecule and two-meson operators. We find that the low-lying states
overlap essentially exclusively with two-meson states. This indicates that in
the channels investigated no tightly bound four-quark states of either
molecular or diquark-antidiquark type exist.


title:
Elastic and quasi-elastic electron scattering off nuclei with neutron
  excess

abstract:
  We present theoretical predictions for electron scattering on oxygen and
calcium isotopic chains. The calculations are done within the framework of the
distorted-wave Born approximation and the proton and neutron density
distributions are evaluated adopting a relativistic Dirac-Hartree model. We
present results for the elastic and quasi-elastic cross sections and for the
parity-violating asymmetry. As a first step, the results of the models are
tested in comparison with some of the data available for elastic and
quasi-elastic scattering on 16O and 40Ca nuclei. Then, the evolution of some
nuclear properties is investigated as a function of the neutron number. We also
present a comparison with the parity-violating asymmetry parameter obtained by
the PREX Collaboration on 208Pb and give a prediction for the future experiment
CREX on 48Ca.


title:
Formation of one-dimensional self-assembled silicon nanoribbons on
  Au(110)-(2x1)

abstract:
  We report results on the self-assembly of silicon nanoribbons on the (2x1)
reconstructed Au(110) surface under ultra-high vacuum conditions. Upon
adsorption of 0.2 monolayer (ML) of silicon the (2x1) reconstruction of Au(110)
is replaced by an ordered surface alloy. Above this coverage a new
superstructure is revealed by low electron energy diffraction (LEED) which
becomes sharper at 0.3 Si ML. This superstructure corresponds to Si nanoribbons
all oriented along the [-110] direction as revealed by LEED and scanning
tunneling microscopy (STM). STM and high-resolution photoemission spectroscopy
indicate that the nanoribbons are flat and predominantly 1.6 nm wide. In
addition the silicon atoms show signatures of two chemical environments
corresponding to the edge and center of the ribbons.


title:
Optimal constants of $L^2$ inequalities for closed nearly umbilical
  hypersurfaces in space forms

abstract:
  Let $\Sigma$ be a smooth closed hypersurface with non-negative Ricci
curvature, isometrically immersed in a space form. It has been proved in
\cite{P}, \cite{CZ}, and \cite{C2} that there are some $L^2$ inequalities on
$\Sigma$ which measure the stability of closed umbilical hypersurfaces or more
generally, closed hypersurfaces with traceless Newton transformation of the
second fundamental form. In this paper, we prove that the constants in these
inequalities are optimal.


title: Bayesian Analysis of Multiple Harmonic Oscillations in the Solar Corona

abstract:
  The detection of multiple mode harmonic kink oscillations in coronal loops
enables to obtain information on coronal density stratification and magnetic
field expansion using seismology inversion techniques. The inference is based
on the measurement of the period ratio between the fundamental mode and the
first overtone and theoretical results for the period ratio under the
hypotheses of coronal density stratification and magnetic field expansion of
the wave guide. We present a Bayesian analysis of multiple mode harmonic
oscillations for the inversion of the density scale height and magnetic flux
tube expansion, under each of the hypotheses. Then, the two models are compared
using a Bayesian model comparison scheme to assess how plausible each one is,
given our current state of knowledge.


title: On the Singular Scheme of Split Foliations

abstract:
  We prove that the tangent sheaf of a codimension one locally free
distribution splits as a sum of line bundles if and only if its singular scheme
is arithmetically Cohen-Macaulay. In addition, we show that a foliation by
curves is given by an intersection of generically transversal holomorphic
distributions of codimension one if and only if its singular scheme is
arithmetically Buchsbaum. Finally, we establish that these foliations are
determined by their singular schemes, and deduce that the Hilbert scheme of
certain arithmetically Buchsbaum schemes of codimension $2$ is birational to a
Grassmannian.


title:
Thermodynamic properties of correlated fermions in lattices with
  spin-dependent disorder

abstract:
  Motivated by the rapidly growing possibilities for experiments with ultracold
atoms in optical lattices we investigate the thermodynamic properties of
correlated lattice fermions in the presence of an external spin-dependent
random potential. The corresponding model, a Hubbard model with spin-dependent
local random potentials, is solved within dynamical mean-field theory. This
allows us to present a comprehensive picture of the thermodynamic properties of
this system. In particular, we show that for a fixed total number of fermions
spin-dependent disorder induces a magnetic polarization. The magnetic response
of the polarized system differs from that of a system with conventional
disorder.


title:
Re-examining the electronic structure of germanium: A first-principle
  study

abstract:
  We report results from an efficient, robust, ab-initio method for
self-consistent calculations of electronic and structural properties of Ge. Our
non-relativistic calculations employed a generalized gradient approximation
(GGA) potential and the linear combination of atomic orbitals (LCAO) formalism.
The distinctive feature of our computations stem from the use of
Bagayoko-Zhao-Williams-Ekuma-Franklin (BZW-EF) method. Our results are in
agreement with experimental ones where the latter are available. In particular,
our theoretical, indirect band gap of 0.65 eV, at the experimental lattice
constant of 5.66 \AA{}, is in excellent agreement with experiment. Our
predicted, equilibrium lattice constant is 5.63 \AA{}, with a corresponding
indirect band gap of 0.65 eV and a bulk modulus of 80 GPa. We also calculated
the effective masses in various directions with respect to the $\Gamma$ point.


title:
Molecular beam epitaxy of high structural quality Bi2Se3 on lattice
  matched InP(111) substrates

abstract:
  Epitaxial layers of the topological insulator Bi2Se3 have been grown by
molecular beam epitaxy on laterally lattice-matched InP(111)B substrates. High
resolution X-ray diffraction shows a significant improvement of Bi2Se3 crystal
quality compared to layers deposited on other substrates. The measured full
width at half maximum of the rocking curve is Delta omega=13 arcsec, and the
(omega-2theta) scans exhibit clear layer thickness fringes. Atomic force
microscope images show triangular twin domains with sizes increasing with layer
thickness. The structural quality of the domains is confirmed on the
microscopic level by transmission electron microscopy.


title:
Possibility of a (bi)polaron high-temperature superconductivity in Poly
  A/ Poly T DNA duplexes

abstract:
  Dynamical equations for a polaron and bipolaron in a DNA duplex are obtained
on the basis of Holstein-Hubbard Hamiltonian. It is shown that in a PolyA/PolyT
duplex especially stable is a bipolaron state in which holes are localized on
different chains of the duplex. With the use of the polaron and bipolaron free
energy, the temperature of bipolaron decay is found to be T_d \approx 350 K
which can serve as an approximate estimate of the superconducting transition
temperature. The way of constructing superconducting nanowires on the basis of
DNA is suggested.


title: Numerical Estimation Schemes for Quantum Tomography

abstract:
  This is a PhD dissertation on the latest numerical quantum estimation schemes
as of 2012, submitted to the National University of Singapore. The main content
of the thesis focuses on accessing quantum information with informationally
incomplete measurements to reconstruct quantum states of large quantum systems,
as well as to reduce the amount of resources to reconstruct quantum channels.


title:
Alignment-dependent fluorescence emission induced by tunnel ionization
  of carbon dioxide from lower-lying orbitals

abstract:
  Study on ionization process of molecules in an intense infrared laser field
is of paramount interest in strong-field physics and constitutes the foundation
of imaging of molecular valence orbitals and attosecond science. We show
measurement of alignment-dependent ionization probabilities of the lower-lying
orbitals of the molecules by experimentally detecting alignment-dependence of
fluorescence emission from tunnel ionized carbon dioxide molecules. The
experimental measurements are compared with the theoretical calculations of
strong field approximation (SFA) and molecular ADK models. Our results
demonstrate the feasibility of an all-optical approach for probing the
ionization dynamics of lower-lying orbitals of molecules, which is still
difficult to achieve until now by other techniques. Moreover, the deviation
between the experimental and theoretical results indicates the incompleteness
of current theoretical models for describing strong field ionization of
molecules.


title: Light color octet scalars in the minimal SO(10) grand unification

abstract:
  We analyze the relation between the present (and foreseen) bounds on matter
stability and the presence of TeV-scale color octet scalar states in
nonsupersymmetric SO(10) grand unification with one adjoint Higgs
representation triggering the symmetry breaking. This scenario, discarded long
ago due to tree-level tachyonic instabilities appearing in all
phenomenologically viable breaking patterns, has been recently revived at the
quantum level. By including the relevant two-loop corrections we find a tight
correlation between the octet mass and the unification scale which either
requires a light color octet scalar within the reach of the LHC or,
alternatively, a proton lifetime accessible to the forthcoming megaton-scale
facilities.


title: Fabrication of silicon nanocrystals using sequential Au ion implantation

abstract:
  Silicon nanocrystals are produced using a two-stage gold ion implantation
technique. First stage implantation using low energy ions leads to the
formation of an amorphous Si (a-Si) layer. A subsequent high energy Au
irradiation in the second stage is found to produce strained Si NCs. An
annealing at a temperature as low as 500$^o$C is seen to result in strain free
NCs showing quantum confinement effects. Higher temperature annealing of the
samples is found to result in growth in size from recrystallization of the a-Si
matrix. Raman Scattering, X-ray diffraction (XRD) and Rutherford Backscattering
spectrometry (RBS) have been used to study the effect of annealing on the
samples and the size of Si NCs formed. The data could be well explained using a
phonon confinement model with an extremely narrow size distribution. XRD
results go in line with Raman analysis.


title:
Illustration par quelques exemples des lois strictement stables dans un
  c\^one convexe

abstract:
  The stability of random variables can be generalized in any convex cone. In
this case the principal results about the LePage representation and the domains
of attraction are analogous but different to those well known for general
Banach spaces. Some examples of strictly stable distributions and max-stable
distributions are presented in this paper in order to exhibit the relationship
between the Poisson process and the stable distributions on convex cones.


title: The min-max edge q-coloring problem

abstract:
  In this paper we introduce and study a new problem named \emph{min-max edge
$q$-coloring} which is motivated by applications in wireless mesh networks. The
input of the problem consists of an undirected graph and an integer $q$. The
goal is to color the edges of the graph with as many colors as possible such
that: (a) any vertex is incident to at most $q$ different colors, and (b) the
maximum size of a color group (i.e. set of edges identically colored) is
minimized. We show the following results: 1. Min-max edge $q$-coloring is
NP-hard, for any $q \ge 2$. 2. A polynomial time exact algorithm for min-max
edge $q$-coloring on trees. 3. Exact formulas of the optimal solution for
cliques and almost tight bounds for bicliques and hypergraphs. 4. A non-trivial
lower bound of the optimal solution with respect to the average degree of the
graph. 5. An approximation algorithm for planar graphs.


title: Positive energy theorems in General Relativity

abstract:
  The aim of this chapter is to present an introduction and also an overview of
some of the most relevant results concerning positivity energy theorems in
General Relativity. These theorems provide the answer to a long standing
problem that has been proved remarkably difficult to solve. They constitute one
of the major results in classical General Relativity and they uncover a deep
self-consistence of the theory.


title: Spontaneous Lorentz Violation in Gauge Theories

abstract:
  Frohlich, Morchio and Strocchi long ago proved that Lorentz invariance is
spontaneously broken in QED because of infrared effects. We develop a simple
model where consequences of this breakdown can be explicitly and easily
calculated. For this purpose, the superselected U(1) charge group of QED is
extended to a superselected "Sky" group containing direction-dependent gauge
transformations at infinity. It is the analog of the Spi group of gravity. As
Lorentz transformations do not commute with Sky, they are spontaneously broken.
These abelian considerations and model are extended to non-Abelian gauge
symmetries. Basic issues regarding the observability of twisted non-Abelian
gauge symmetries and of the asymptotic ADM symmetries of quantum gravity are
raised.


title:
A consistent clustering-based approach to estimating the number of
  change-points in highly dependent time-series

abstract:
  The problem of change-point estimation is considered under a general
framework where the data are generated by unknown stationary ergodic process
distributions. In this context, the consistent estimation of the number of
change-points is provably impossible. However, it is shown that a consistent
clustering method may be used to estimate the number of change points, under
the additional constraint that the correct number of process distributions that
generate the data is provided. This additional parameter has a natural
interpretation in many real-world applications. An algorithm is proposed that
estimates the number of change-points and locates the changes. The proposed
algorithm is shown to be asymptotically consistent; its empirical evaluations
are provided.

categories: stat.ML cs.IT cs.LG math.IT math.ST stat.TH


title:
A twisted emission geometry in non-central Pb+Pb collisions measurable
  via azimuthally sensitive HBT

abstract:
  We use the Ultrarelativistic Quantum Molecular Dynamics (UrQMD) model to
simulate Pb+Pb collisions. In the freeze out geometry of non-central Pb+Pb
collisions we observe a tilt of the particle emission zone in the collision
plane away from the beam axis. We find that the magnitude of this tilt depends
on the scale at which the distribution is measured. We quantify this "twisting"
behavior with a parameterization and propose to measure it experimentally via
azimuthally sensitive Hanbury-Brown Twiss correlations. Additionally we show
that the twist is related to the emission of particles from different times
during the evolution of the source. A systematic comparison between the
theoretically observed twist in the freeze out position distribution and a mock
experimental analysis of the model calculations via HBT correlations is shown.


title:
The Micro-Arcsecond Scintillation-Induced Variability (MASIV) Survey
  III. Optical Identifications and New Redshifts

abstract:
  Intraday variability (IDV) of the radio emission from active galactic nuclei
is now known to be predominantly due to interstellar scintillation (ISS). The
MASIV (The Micro-Arcsecond Scintillation-Induced Variability) survey of 443
flat spectrum sources revealed that the IDV is related to the radio flux
density and redshift. A study of the physical properties of these sources has
been severely handicapped by the absence of reliable redshift measurements for
many of these objects. This paper presents 79 new redshifts and a critical
evaluation of 233 redshifts obtained from the literature. We classify
spectroscopic identifications based on emission line properties, finding that
78% of the sources have broad emission lines and are mainly FSRQs. About 16%
are weak lined objects, chiefly BL Lacs, and the remaining 6% are narrow line
objects. The gross properties (redshift, spectroscopic class) of the MASIV
sample are similar to those of other blazar surveys. However, the extreme
compactness implied by ISS favors FSRQs and BL Lacs in the MASIV sample as
these are the most compact object classes. We confirm that the level of IDV
depends on the 5\,GHz flux density for all optical spectral types. We find that
BL Lac objects tend to be more variable than broad line quasars. The level of
ISS decreases substantially above a redshift of about two. The decrease is
found to be generally consistent with ISS expected for beamed emission from a
jet that is limited to a fixed maximum brightness temperature in the source
rest frame.


title: Differential top pair cross section and top anti-top plus jets Physics

abstract:
  A brief summary of the current status of the next-to-leading order QCD
corrections to top quark pair production and the associated production of top
anti-top with jet(s) in different configurations, i.e. with one jet, two jets
and another top anti-top pair, is presented.


title:
Continuity of scalar-fields characterized by smooth paths fulfilling
  $\|\bs(t)\|\|\bs'(t)\| < +\infty$

abstract:
  A function $f$ from a subset of $\R^n$ to $\R$ is continuous at the origin,
if and only if $\lim_{t\to 0+} f(\bs(t))=f(\bnull)$ for all continuous paths
$\bs$ with $\lim_{t\to 0+} \bs(t)=\bnull$. The continuity of $f$ can, however,
be characterized by a much smaller class of paths. We show that the class of
all paths fulfilling $\lim_{t\to 0+} \bs(t)=\bnull$, $\bs\in
[\cC^\infty(]0,a[)]^n$, and $\sup_{t\in\,]0,a[}\|\bs(t)\|\|\bs'(t)\| < +\infty$
is sufficient. Further, given any sequences $(\bx_k)_{k\in\N}$ and
$(\by_k)_{k\in\N}$ in $\R^n\setminus\{\bnull\}$, such that
$\lim_{k\to+\infty}\bx_k=\bnull$, $\bx_k\cdot\by_k \ge 0$, and $\|\by_k\|=1$
for all $k\in\N$, we show that there exist a path of this class, such that
$\bs(\|\bx_k\|)=\bx_k$ and $\bs'(\|\bx_k\|)=\by_k$ for an infinite number of
$k\in\N$.


title: Secrecy capacities of compound quantum wiretap channels and applications

abstract:
  We determine the secrecy capacity of the compound channel with quantum
wiretapper and channel state information at the transmitter. Moreover, we
derive a lower bound on the secrecy capacity of this channel without channel
state information and determine the secrecy capacity of the compound
classical-quantum wiretap channel with channel state information at the
transmitter. We use this result to derive a new proof for a lower bound on the
entanglement generating capacity of compound quantum channel. We also derive a
new proof for the entanglement generating capacity of compound quantum channel
with channel state information at the encoder.


title: Mollow "quintuplets" from coherently-excited quantum dots

abstract:
  Charge-neutral excitons in semiconductor quantum dots have a small finite
energy separation caused by the anisotropic exchange splitting. Coherent
excitation of neutral excitons will generally excite both exciton components,
unless the excitation is parallel to one of the dipole axes. We present a
polaron master equation model to describe two-exciton pumping using a coherent
continuous wave pump field in the presence of a realistic anisotropic exchange
splitting. We predict a five-peak incoherent spectrum, thus generalizing the
Mollow triplet to become a Mollow quintuplet. We experimentally confirm such
spectral quintuplets for In(Ga)As quantum dots and obtain very good agreement
with theory.


title: Estimators of Binary Spatial Autoregressive Models: A Monte Carlo Study

abstract:
  The goal of this paper is to provide a cohesive description and a critical
comparison of the main estimators proposed in the literature for spatial binary
choice models. The properties of such estimators are investigated using a
theoretical and simulation study. To the authors' knowledge, this is the first
paper that provides a comprehensive Monte Carlo study of the estimators'
properties. This simulation study shows that the Gibbs estimator Le Sage (2000)
performs best for low spatial autocorrelation, while the Recursive Importance
Sampler Beron & Vijverberg (2004) performs best for high spatial
autocorrelation. The same results are obtained by increasing the sample size.
Finally, the linearized General Method of Moments estimator Klier & McMillen
(2008) is the fastest algorithm that provides accurate estimates for low
spatial autocorrelation and large sample size.


title:
Electroweak Measurements in Electron-Positron Collisions at W-Boson-Pair
  Energies at LEP

abstract:
  Electroweak measurements performed with data taken at the electron-positron
collider LEP at CERN from 1995 to 2000 are reported. The combined data set
considered in this report corresponds to a total luminosity of about 3
fb$^{-1}$ collected by the four LEP experiments ALEPH, DELPHI, L3 and OPAL, at
centre-of-mass energies ranging from 130 GeV to 209 GeV.
  Combining the published results of the four LEP experiments, the measurements
include total and differential cross-sections in photon-pair, fermion-pair and
four-fermion production, the latter resulting from both double-resonant WW and
ZZ production as well as singly resonant production. Total and differential
cross-sections are measured precisely, providing a stringent test of the
Standard Model at centre-of-mass energies never explored before in
electron-positron collisions. Final-state interaction effects in four-fermion
production, such as those arising from colour reconnection and Bose-Einstein
correlations between the two W decay systems arising in WW production, are
searched for and upper limits on the strength of possible effects are obtained.
The data are used to determine fundamental properties of the W boson and the
electroweak theory. Among others, the mass and width of the W boson, $M_W$ and
$\Gamma_W$, the branching fraction of W decays to hadrons,
$B(W\to\mathrm{had})$, and the trilinear gauge-boson self-couplings $g^Z_1$,
$\kappa_\gamma$ and $\lambda_\gamma$ are determined to be:
  M_W = 80.376 \pm 0.033 ~GeV
  \Gamma_W = 2.195 \pm 0.083 ~GeV
  B(W\to\mathrm{had}) = 67.41 \pm 0.27 % g^Z_1 = 0.984 ^{+0.018}_{-0.020}
  \kappa_\gamma = 0.982 \pm 0.042
  \lambda_\gamma = -0.022 \pm 0.019


title:
Centralized Versus Decentralized Team Games of Distributed Stochastic
  Differential Decision Systems with Noiseless Information Structures-Part II:
  Applications

abstract:
  In this second part of our two-part paper, we invoke the stochastic maximum
principle, conditional Hamiltonian and the coupled backward-forward stochastic
differential equations of the first part [1] to derive team optimal
decentralized strategies for distributed stochastic differential systems with
noiseless information structures. We present examples of such team games of
nonlinear as well as linear quadratic forms. In some cases we obtain closed
form expressions of the optimal decentralized strategies.
  Through the examples, we illustrate the effect of information signaling among
the decision makers in reducing the computational complexity of optimal
decentralized decision strategies.


title:
A Quasi-Polynomial Time Partition Oracle for Graphs with an Excluded
  Minor

abstract:
  Motivated by the problem of testing planarity and related properties, we
study the problem of designing efficient {\em partition oracles}. A {\em
partition oracle} is a procedure that, given access to the incidence lists
representation of a bounded-degree graph $G= (V,E)$ and a parameter $\eps$,
when queried on a vertex $v\in V$, returns the part (subset of vertices) which
$v$ belongs to in a partition of all graph vertices. The partition should be
such that all parts are small, each part is connected, and if the graph has
certain properties, the total number of edges between parts is at most $\eps
|V|$. In this work we give a partition oracle for graphs with excluded minors
whose query complexity is quasi-polynomial in $1/\eps$, thus improving on the
result of Hassidim et al. ({\em Proceedings of FOCS 2009}) who gave a partition
oracle with query complexity exponential in $1/\eps$. This improvement implies
corresponding improvements in the complexity of testing planarity and other
properties that are characterized by excluded minors as well as sublinear-time
approximation algorithms that work under the promise that the graph has an
excluded minor.


title: Detection of fast transients with radio interferometric arrays

abstract:
  Next-generation radio arrays, including the Square Kilometre Array (SKA) and
its pathfinders, will open up new avenues for exciting transient science at
radio wavelengths. Their innovative designs, comprising a large number of small
elements, pose several challenges in digital processing and optimal observing
strategies. The Giant Metrewave Radio Telescope (GMRT) presents an excellent
test-bed for developing and validating suitable observing modes and strategies
for transient experiments with future arrays. Here we describe the first phase
of the ongoing development of a transient detection system for GMRT that is
planned to eventually function in a commensal mode with other observing
programs. It capitalizes on the GMRT's interferometric and sub-array
capabilities, and the versatility of a new software backend. We outline
considerations in the plan and design of transient exploration programs with
interferometric arrays, and describe a pilot survey that was undertaken to aid
in the development of algorithms and associated analysis software. This survey
was conducted at 325 and 610 MHz, and covered 360 deg$^2$ of the sky with short
dwell times. It provides large volumes of real data that can be used to test
the efficacies of various algorithms and observing strategies applicable for
transient detection. We present examples that illustrate the methodologies of
detecting short-duration transients, including the use of sub-arrays for higher
resilience to spurious events of terrestrial origin, localization of candidate
events via imaging and the use of a phased array for improved signal detection
and confirmation. In addition to demonstrating applications of interferometric
arrays for fast transient exploration, our efforts mark important steps in the
roadmap toward SKA-era science.


title: Scattering Theory with Path Integrals

abstract:
  Starting from well-known expressions for the $T$-matrix and its derivative in
standard nonrelativistic potential scattering I rederive recent path-integral
formulations due to Efimov and Barbashov et al. Some new relations follow
immediately.


title: Spitzer-IRAC survey of molecular jets in Vela-D

abstract:
  We present a survey of H2 jets from young protostars in the Vela-D molecular
cloud (VMR-D), based on Spitzer -IRAC data between 3.6 and 8.0 micron. Our
search has led to the identification of 15 jets and about 70 well aligned knots
within 1.2 squared degree. We compare the IRAC maps with observations of the H2
1-0 S(1) line at 2.12 micron, with a Spitzer-MIPS map at 24 and 70 micron, and
with a map of the dust continuum emission at 1.2 mm. We find a association
between molecular jets and dust peaks. The jet candidate exciting sources have
been searched for in the published catalog of the Young Stellar Objects of
VMR-D. We selected all the sources of Class II or earlier which are located
close to the jet center and aligned with it.The association between jet and
exciting source was validated by estimating the differential extinction between
the jet opposite lobes. We are able to find a best-candidate exciting source in
all but two jets. Four exciting sources are not (or very barely) observed at
wavelengths shorter than 24 micron, suggesting they are very young protostars.
Three of them are also associated with the most compact jets. The exciting
source Spectral Energy Distributions have been modeled by means of the
photometric data between 1.2 micron and 1.2 mm. From SEDs fits we derive the
main source parameters, which indicate that most of them are low-mass
protostars. A significant correlation is found between the projected jet length
and the [24] - [70] color, which is consistent with an evolutionary scenario
according to which shorter jets are associated with younger sources. A rough
correlation is found between IRAC line cooling and exciting source bolometric
luminosity, in agreement with the previous literature. The emerging trend
suggests that mass loss and mass accretion are tightly related phenomena and
that both decrease with time.


title: Simple effective interaction: Infinite nuclear matter and finite nuclei

abstract:
  The mean field properties and equation of state for asymmetric nuclear matter
are studied by using a simple effective interaction which has a single finite
range Gaussian term. The study of finite nuclei with this effective interaction
is done by means of constructing a quasilocal energy density functional for
which the single particle equations take the form of Skryme-Hartree-Fock
equations. The predictions of binding energies and charge radii of spherical
nuclei are found to be compatible with the results of standard models as well
as experimental data.


title:
Baselining Network-Wide Traffic by Time-Frequency Constrained Stable
  Principal Component Pursuit

abstract:
  The Internet traffic analysis is important to network management,and
extracting the baseline traffic patterns is especially helpful for some
significant network applications.In this paper, we study on the baseline
problem of the traffic matrix satisfying a refined traffic matrix decomposition
model,since this model extends the assumption of the baseline traffic component
to characterize its smoothness, and is more realistic than the existing traffic
matrix models. We develop a novel baseline scheme, named Stable Principal
Component Pursuit with Time-Frequency Constraints (SPCP-TFC), which extends the
Stable Principal Component Pursuit (SPCP) by applying new time-frequency
constraints. Then we design an efficient numerical algorithm for SPCP-TFC. At
last, we evaluate this baseline scheme through simulations, and show it has
superior performance than the existing baseline schemes RBL and PCA.


title:
Classical-Field Renormalization Flow of One-Dimensional Disordered
  Bosons

abstract:
  We show that in the regime when strong disorder is more relevant than field
quantization the superfluid--to--Bose-glass criticality of one-dimensional
bosons is preceded by the prolonged logarithmically slow classical-field
renormalization flow of the superfluid stiffness at mesoscopic scales. With the
system compressibility remaining constant, the quantum nature of the system
manifests itself only in the renormalization of dilute weak links. On the
insulating side, the flow ultimately reaches a value of the Luttinger parameter
at which the instanton--anti-instanton pairs start to proliferate, in
accordance with the universal quantum scenario. This happens first at
astronomic system sizes because of the suppressed instanton fugacity. We
illustrate our result by first-principles simulations.


title:
Spectra and nuclear modification factor of charged hadrons produced in
  lead-lead collisions at sqrt(s_NN)=2.76TeV with the ATLAS detector at the LHC

abstract:
  The measurement of charged particle spectra in heavy ion collisions is a way
to study properties of hot and dense matter created in these interactions. The
centrality dependence of the spectral shape is an important tool to understand
the energy loss mechanism. The ATLAS detector at the LHC accumulated integrated
luminosity equal to 0.15nb^{-1} of lead-lead data at 2.76TeV per
nucleon-nucleon pair. Due to the excellent capabilities of the ATLAS detector,
and its stable operation in 2010 and 2011 heavy ion physics runs, these data
allow measurements of the charged particle spectra and their ratios in
different centrality bins over a wide range of transverse momenta (0.5-150GeV)
and pseudorapidity (|eta|<2.5). The measured ratio central to peripheral events
shows a suppresion by a factor of 5 at pT=7GeV. At higher pT the ratio
increases.


title:
Exploring the multi-humped fission barrier of 238U via sub-barrier
  photofission

abstract:
  The photofission cross-section of 238U was measured at sub-barrier energies
as a function of the gamma-ray energy using, for the first time, a
monochromatic, high-brilliance, Compton-backscattered gamma-ray beam. The
experiment was performed at the High Intensity gamma-ray Source (HIgS) facility
at beam energies between E=4.7 MeV and 6.0 MeV and with ~3% energy resolution.
Indications of transmission resonances have been observed at gamma-ray beam
energies of E=5.1 MeV and 5.6 MeV with moderate amplitudes. The triple-humped
fission barrier parameters of 238U have been determined by fitting EMPIRE-3.1
nuclear reaction code calculations to the experimental photofission cross
section.


title: Ordered Black Boxes: Existence

abstract:
  We defined ordered black boxes in which for a partial $J$ we try to predict
just a bound in $J$ to a function restricted to $C_\alpha$. The existence
results are closely related to pcf, propagating downward. We can start with
trivial cases.


title: Higgs Bosons in supersymmetric U(1)' models with CP Violation

abstract:
  We study the Higgs sector of the U(1)'-extended MSSM with CP violation. This
is an extension of the MSSM Higgs sector by one singlet field, introduced to
generate the \mu term dynamically. We are particularly interested in
non-standard decays of Higgs particles, especially of the lightest one, in the
presence of CP violating phases for \mu_{eff} and the soft parameters. We
present analytical expressions for neutral and charged Higgs bosons masses at
tree and one-loop levels, including contributions from top and bottom scalar
quark sectors. We then study the production and decay channels of the neutral
Higgs for a set of benchmark points consistent with low energy data and relic
density constraints. Numerical simulations show that a Higgs boson lighter than
2m_W can decay in a quite distinctive manner, including invisible modes into
two neutralinos (h->\chi^0\chi^0) up to 50% of the time, when kinematically
allowed. The branching ratio into h->bb, the dominant decay in the SM, is
reduced in some U(1)' models and enhanced in others, while the branching ratios
for the decays h -> \tau+ \tau-, h -> WW^* and h -> Z Z^*-> 4l are always
reduced with respect to their SM expectations. This possibility has important
implications for testing the U(1)' model both at the LHC and later at the ILC.


title: Quantum Error Correction for Quantum Memories

abstract:
  Active quantum error correction using qubit stabilizer codes has emerged as a
promising, but experimentally challenging, engineering program for building a
universal quantum computer. In this review we consider the formalism of qubit
stabilizer and subsystem stabilizer codes and their possible use in protecting
quantum information in a quantum memory. We review the theory of
fault-tolerance and quantum error-correction, discuss examples of various codes
and code constructions, the general quantum error correction conditions, the
noise threshold, the special role played by Clifford gates and the route
towards fault-tolerant universal quantum computation. The second part of the
review is focused on providing an overview of quantum error correction using
two-dimensional (topological) codes, in particular the surface code
architecture. We discuss the complexity of decoding and the notion of passive
or self-correcting quantum memories. The review does not focus on a particular
technology but discusses topics that will be relevant for various quantum
technologies.


title:
Ratner's property for special flows over irrational rotations under
  functions of bounded variation

abstract:
  We consider special flows over the rotation by an irrational $\alpha$ under
the roof functions of bounded variation without continuous, singular part in
the Lebesgue decomposition and the sum of jumps $\neq 0$. We show that all such
flows are weakly mixing. Under the additional assumption that $\alpha$ has
bounded partial quotients, we study weak Ratner's property. We establish this
property whenever an additional condition (stable under sufficiently small
perturbations) on the set of jumps is satisfied. While it is classical that the
flows under consideration are not mixing, one more condition on the set of
jumps turns out to be sufficient to obtain the absence of partial rigidity,
hence mild mixing of such flows.


title: Bernstein - von Mises Theorem for growing parameter dimension

abstract:
  This paper revisits the prominent Fisher, Wilks, and Bernstein -- von Mises
(BvM) results from different viewpoints. Particular issues to address are:
nonasymptotic framework with just one finite sample, possible model
misspecification, and a large parameter dimension. In particular, in the case
of an i.i.d. sample, the mentioned results can be stated for any smooth
parametric family provided that the dimension \(p \) of the parameter space
satisfies the condition "\(p^{2}/n \) is small" for the Fisher expansion, while
the Wilks and the BvM results require "\(p^{3}/n \) is small".


title: More on Compactness of Chromatic Numbers

abstract:
  We prove that for any regular kappa and mu > kappa below the first fix point
(lambda = aleph_lambda) above kappa, there is a graph with chromatic number >
kappa, and mu^kappa nodes but every subgraph of cardinality < mu has chromatic
number less than or equal to kappa.


title:
Transport studies of dual-gated ABC and ABA trilayer graphene: band gap
  opening and band structure tuning in very large perpendicular electric field

abstract:
  We report on the transport properties of ABC and ABA stacked trilayer
graphene using dual, locally gated field effect devices. The high efficiency
and large breakdown voltage of the HfO2 top and bottom gates enables
independent tuning of the perpendicular electric field and the Fermi level over
an unprecedentedly large range. We observe a resistance change of six orders of
magnitude in the ABC trilayer, which demonstrates the opening of a band gap.
Our data suggest that the gap saturates at a large displacement field of D ~ 3
V/nm, in agreement with self-consistent Hartree calculations. In contrast, the
ABA trilayer remains metallic even under a large perpendicular electric field.
Despite the absence of a band gap, the band structure of the ABA trilayer
continues to evolve with increasing D. We observe signatures of two-band
conduction at large D fields. Our self-consistent Hartree calculation
reproduces many aspects of the experimental data, but also points to the need
for more sophisticated theory.


title: Eigenfunctions of the Edge-Based Laplacian on a Graph

abstract:
  In this paper, we analyze the eigenfunctions of the edge-based Laplacian on a
graph and the relationship of these functions to random walks on the graph. We
commence by discussing the set of eigenfunctions supported at the vertices, and
demonstrate the relationship of these eigenfunctions to the classical random
walk on the graph. Then, from an analysis of functions supported only on the
interior of edges, we develop a method for explicitly calculating the
edge-interior eigenfunctions of the edge-based Laplacian. This reveals a
connection between the edge-based Laplacian and the adjacency matrix of
backtrackless random walk on the graph. The edge-based eigenfunctions therefore
correspond to some eigenfunctions of the normalised Hashimoto matrix.


title: The Be X-ray Binary Outburst Zoo

abstract:
  Be X-ray binaries are among the best known transient high-energy sources.
Their outbursts are commonly classified into a simple scheme of 'normal' and
'giant' outbursts, but a closer look shows that actual outbursts do not always
follow this simple scheme. Recent data show a variety of properties, like
pre-flares, shifts of the outburst peaks with respect to the periastron,
multi-peaked outbursts etc. We present results from a systematic study of a
large number of outbursts monitored by various space missions, comparing
outburst properties and their relation to system parameters and current
theoretical understanding.


title: White organic light-emitting diodes: Status and perspective

abstract:
  White organic light-emitting diodes (OLEDs) are ultra-thin, large-area light
sources made from organic semiconductor materials. Over the last decades, much
research has been spent on finding the suitable materials to realize highly
efficient monochrome and white OLEDs. With their high efficiency,
color-tunability, and color-quality, white OLEDs are emerging to become one of
the next generation light sources. In this review, we discuss the physics of a
variety of device concepts that are introduced to realize white OLEDs based on
both polymer and small molecule organic materi als. Owing to the fact that
about 80 % of the internally generated photons are trapped within the thin-film
layer structure, we put a second focus on reviewing promising concepts for
improved light outcoupling.


title: Some new iterated hardy-type inequalities: The case $\theta = 1$

abstract:
  In this paper we characterize the validity of the Hardy-type inequality
\begin{equation*}
\left\|\left\|\int_s^{\infty}h(z)dz\right\|_{p,u,(0,t)}\right\|_{q,w,\infty}\leq
c \,\|h\|_{1,v,\infty} \end{equation*} where $0<p< \infty$, $0<q\leq +\infty$,
$u$, $w$ and $v$ are weight functions on $(0,\infty)$. It is pointed out that
this characterization can be used to obtain new characterizations for the
boundedness between weighted Lebesgue spaces for Hardy-type operators
restricted to the cone of monotone functions and for the generalized Stieltjes
operator.


title: Modulated String Searching

abstract:
  In his 1987 paper entitled "Generalized String Matching", Abrahamson
introduced {\em pattern matching with character classes} and provided the first
efficient algorithm to solve it. The best known solution to date is due to
Linhart and Shamir (2009).
  Another broad yet comparatively less studied class of string matching
problems is that of numerical string searching, such as, e.g., the `less-than'
or $L_1$-norm string searching. The best known solutions for problems in this
class are based on FFT convolution after some suitable re-encoding.
  The present paper introduces {\em modulated string searching} as a unified
framework for string matching problems where the numerical conditions can be
combined with some Boolean/numerical decision conditions on the character
classes. One example problem in this class is the {\em locally bounded
$L_1$-norm} matching problem on character classes: here the "match" between a
character at some position in the text and a set of characters at some position
in the pattern is assessed based on the smallest $L_1$ distance between the
text character and one of those pattern characters. The two positions "match"
if the (absolute value of the) difference between the two characters does not
exceed a predefined constant. The pattern has an occurrence in an alignment
with the text if the sum of all such differences does not exceed a second
predefined constant value. This problem requires a pointwise evaluation of the
quality of each match and has no known solution based on the previously
mentioned algorithms.


title:
Estimation of Hurst Parameter of Fractional Brownian Motion Using CMARS
  Method

abstract:
  In this study, we develop a new theory of estimating Hurst parame- ter using
conic multivariate adaptive regression splines (CMARS) method. We concentrate
on the strong solution of stochastic differentional equations (SDEs) driven by
fractional Brownian motion (fBm). The superiority of our approach to the others
is, it not only estimates the Hurst parameter but also finds spline parameters
of the stochastic process in an adaptive way. We examine the performance of our
estimations using simulated test data. Keywords: Stochastic differential
equations, fractional Brownian motion, Hurst parameter, conic multivariate
adaptive regression splines


title: Muller's ratchet with overlapping generations

abstract:
  Muller's ratchet is a paradigmatic model for the accumulation of deleterious
mutations in a population of finite size. A click of the ratchet occurs when
all individuals with the least number of deleterious mutations are lost
irreversibly due to a stochastic fluctuation. In spite of the simplicity of the
model, a quantitative understanding of the process remains an open challenge.
In contrast to previous works, we here study a Moran model of the ratchet with
overlapping generations. Employing an approximation which describes the fittest
individuals as one class and the rest as a second class, we obtain closed
analytical expressions of the ratchet rate in the rare clicking regime. As a
click in this regime is caused by a rare large fluctuation from a metastable
state, we do not resort to a diffusion approximation but apply an approximation
scheme which is especially well suited to describe extinction events from
metastable states. This method also allows for a derivation of expressions for
the quasi-stationary distribution of the fittest class. Additionally, we
confirm numerically that the formulation with overlapping generations leads to
the same results as the diffusion approximation and the corresponding
Wright-Fisher model with non-overlapping generations.


title: Self Avoiding Paths Routing Algorithm in Scale-Free Networks

abstract:
  In this paper, we present a new routing algorithm called "the Self Avoiding
Paths Routing Algorithm". Its application to traffic flow in scale-free
networks shows a great improvement over the so called "efficient routing"
protocol while at the same time maintaining a relatively low average packet
travel time. It has the advantage of minimizing path overlapping throughout the
network in a self consistent manner with a relatively small number of
iterations by maintaining an equilibrated path distribution especially among
the hubs. This results in a significant shifting of the critical packet
generation rate over which traffic congestion occurs, thus permitting the
network to sustain more information packets in the free flow state. The
performance of the algorithm is discussed both on a Bar\'abasi-Albert (BA)
network and real autonomous system (AS) network data.


title: Nuclear-Astrophysics Lessons from INTEGRAL

abstract:
  Measurements of high-energy photons from cosmic sources of nuclear radiation
through ESA's INTEGRAL mission have advanced our knowledge: New data with high
spectral resolution showed that characteristic gamma-ray lines from radioactive
decays occur throughout the Galaxy, in its interstellar medium and from
sources. Although the number of detected sources and often the significance of
the astrophysical results remain modest, conclusions derived from this unique
astronomical window of radiation originating from nuclear processes are
important, complementing the widely-employed atomic-line based spectroscopy. We
review the results and insights obtained in the past decade from gamma-ray line
measurements of cosmic sources, in the context of their astrophysical
questions.


title: Does black hole spin play a key role in the FSRQ/BL Lac dichotomy?

abstract:
  It is believed that jets emerging from blazars (Flat Spectrum Radio Quasars
(FSRQs) and BL Lacs) are almost aligned to the line-of-sight. BL Lacs usually
exhibit lower luminosity and harder power law spectra at gamma-ray energies
than FSRQs. It was argued previously that the difference in accretion rates is
mainly responsible for the large observed luminosity mismatch between them.
However, when intrinsic luminosities are derived by correcting for beaming
effects, this mismatch is significantly reduced. We show that spin plays an
important role to reveal the dichotomy of luminosity distributions between BL
Lacs and FSRQs, suggesting BL Lacs to be low luminous and slow rotators
compared to FSRQs.


title: Model of a disk-outflow coupled system: disk-outflow symbiosis

abstract:
  Several observational evidences and deeper theoretical insights reveal that
accretion and outflow/jet are strongly correlated. We model an advective
disk-outflow coupled dynamics. We investigate the properties of the
disk-outflow surface and how is it dependent on the spin of the black hole. The
energetics of such a symbiotic system strongly depend on the mass, accretion
rate and spin of the black holes. The model clearly shows that the outflow
power extracted from the disk increases strongly with the spin of the black
hole.


title: Constraining the central magnetic field of magnetars

abstract:
  The magnetars are believed to be highly magnetized neutron stars having
surface magnetic field 10^{14} - 10^{15} G. It is believed that at the center,
the magnetic field may be higher than that at the surface. We study the effect
of the magnetic field on the neutron star matter. We model the nuclear matter
with the relativistic mean field approach considering the possibility of
appearance of hyperons at higher density. We find that the effect of magnetic
field on the matter of neutron stars and hence on the mass-radius relation is
important, when the central magnetic field is atleast of the order of 10^{17}
G. Very importantly, the effect of strong magnetic field reveals anisotropy to
the system. Moreover, if the central field approaches 10^{19} G, then the
matter becomes unstable which limits the maximum magnetic field at the center
of magnetars.


title: G-corrected holographic dark energy model

abstract:
  Here we investigate the holographic dark energy model in the framework of FRW
cosmology where the Newtonian gravitational constant,$G$, is varying with
cosmic time. Using the complementary astronomical data which support the time
dependency of $G$, the evolutionary treatment of EoS parameter and energy
density of dark energy model are calculated in the presence of time variation
of $G$. It has been shown that in this case, the phantom regime can be achieved
at the present time. We also calculate the evolution of $G$- corrected
deceleration parameter for holographic dark energy model and show that the
dependency of $G$ on the comic time can influence on the transition epoch from
decelerated expansion to the accelerated phase. Finally we perform the
statefinder analysis for $G$- corrected holographic model and show that this
model has a shorter distance from the observational point in $s-r$ plane
compare with original holographic dark energy model.


title: Adaptive Temporal Compressive Sensing for Video

abstract:
  This paper introduces the concept of adaptive temporal compressive sensing
(CS) for video. We propose a CS algorithm to adapt the compression ratio based
on the scene's temporal complexity, computed from the compressed data, without
compromising the quality of the reconstructed video. The temporal adaptivity is
manifested by manipulating the integration time of the camera, opening the
possibility to real-time implementation. The proposed algorithm is a
generalized temporal CS approach that can be incorporated with a diverse set of
existing hardware systems.


title: Exact Methods for Multistage Estimation of a Binomial Proportion

abstract:
  We first review existing sequential methods for estimating a binomial
proportion. Afterward, we propose a new family of group sequential sampling
schemes for estimating a binomial proportion with prescribed margin of error
and confidence level. In particular, we establish the uniform controllability
of coverage probability and the asymptotic optimality for such a family of
sampling schemes. Our theoretical results establish the possibility that the
parameters of this family of sampling schemes can be determined so that the
prescribed level of confidence is guaranteed with little waste of samples.
Analytic bounds for the cumulative distribution functions and expectations of
sample numbers are derived. Moreover, we discuss the inherent connection of
various sampling schemes. Numerical issues are addressed for improving the
accuracy and efficiency of computation. Computational experiments are conducted
for comparing sampling schemes. Illustrative examples are given for
applications in clinical trials.


title:
Exponentially growing finite energy solutions for the Klein-Gordon
  equation on sub-extremal Kerr spacetimes

abstract:
  For any sub-extremal Kerr spacetime with non-zero angular momentum, we find
an open family of non-zero masses for which there exist smooth, finite energy,
and exponentially growing solutions to the corresponding Klein-Gordon equation.
If desired, for any non-zero integer m, an exponentially growing solution can
be found with mass arbitrarily close to |am|/2Mr_+. In addition to its direct
relevance for the stability of Kerr as a solution to the Einstein-Klein-Gordon
system, our result provides the first rigorous construction of a superradiant
instability. Finally, we note that this linear instability for the Klein-Gordon
equation contrasts strongly with recent work establishing linear stability for
the wave equation.


title: On CON(${\mathfrak d}_\lambda >$ cov$_\lambda$(meagre))

abstract:
  We prove the consistency of: for suitable strongly inaccessible cardinal
lambda the dominating number, i.e., the cofinality of ^{lambda}lambda, is
strictly bigger than cov_lambda(meagre), i.e. the minimal number of nowhere
dense subsets of ^{lambda}2 needed to cover it. This answers a question of
Matet.


title: Progress in organic single-crystal field-effect transistors

abstract:
  Research on organic thin-film transistors tends to focus on improvements in
device performance, but very little is understood about the ultimate limits of
these devices, the microscopic physical mechanisms responsible for their
limitations, and, more generally, the intrinsic transport properties of organic
semiconductors. These topics are now being investigated through the study of
transport in organic transistors realized using molecular single crystals of
unprecedented chemical purity and structural quality. These studies are
elucidating detailed microscopic aspects of the physics of organic
semiconductors and corresponding devices and have also led to unforeseen high
values for carrier mobility in these materials. Here, we discuss developments
in this area and present a brief outlook on future goals that have now come
into experimental reach.


title: Parameter estimation for a subcritical affine two factor model

abstract:
  For an affine two factor model, we study the asymptotic properties of the
maximum likelihood and least squares estimators of some appearing parameters in
the so-called subcritical (ergodic) case based on continuous time observations.
We prove strong consistency and asymptotic normality of the estimators in
question.


title:
Centralized Versus Decentralized Team Games of Distributed Stochastic
  Differential Decision Systems with Noiseless Information Structures-Part I:
  General Theory

abstract:
  Decentralized optimization of distributed stochastic differential systems has
been an active area of research for over half a century. Its formulation
utilizing static team and person-by-person optimality criteria is well
investigated. However, the results have not been generalized to nonlinear
distributed stochastic differential systems possibly due to technical
difficulties inherent with decentralized decision strategies.
  In this first part of the two-part paper, we derive team optimality and
person-by-person optimality conditions for distributed stochastic differential
systems with different information structures. The optimality conditions are
given in terms of a Hamiltonian system of equations described by a system of
coupled backward and forward stochastic differential equations and a
conditional Hamiltonian, under both regular and relaxed strategies. Our
methodology is based on the semi martingale representation theorem and
variational methods. Throughout the presentation we discuss similarities to
optimality conditions of centralized decision making.


title: Imaginary quadratic fields with 2-class group of type $(2,2^\ell)$

abstract:
  We prove that for any given positive integer $\ell$ there are infinitely many
imaginary quadratic fields with 2-class group of type $(2,2^\ell)$, and provide
a lower bound for the number of such groups with bounded discriminant for
$\ell\ge2$. This work is based on a related result for cyclic 2-class groups by
Dominguez, Miller and Wong, and our proof proceeds similarly. Our proof
requires introducing congruence conditions into Perelli's result on Goldbach
numbers represented by polynomials, which we establitish in some generality.


title:
On the relation between the modular double of U_q(sl(2,R)) and the
  quantum Teichmueller theory

abstract:
  We exhibit direct relations between the modular double of U_q(sl(2,R)) and
the quantum Teichmueller theory. Explicit representations for the fusion- and
braiding operations of the quantum Teichmueller theory are immediate
consequences. Our results include a simplified derivation of the Clebsch-Gordan
decomposition for the principal series of representation of the modular double
of U_q(sl(2,R)).


title:
Stochastic Minimum Principle for Partially Observed Systems Subject to
  Continuous and Jump Diffusion Processes and Driven by Relaxed Controls

abstract:
  In this paper we consider non convex control problems of stochastic
differential equations driven by relaxed controls. We present existence of
optimal controls and then develop necessary conditions of optimality. We cover
both continuous diffusion and Jump processes.


title: GOLIA: an INTEGRAL archive at INAF-IASF Milano

abstract:
  We present the archive of the INTEGRAL data developed and maintained at
INAF-IASF Milano. The archive comprises all the public data currently available
(revolutions 0026-1079, i.e., December 2002 - August 2011). INTEGRAL data are
downloaded from the ISDC Data Centre for Astrophysics, Geneva, on a regular
basis as they become public and a customized analysis using the OSA 9.0
software package is routinely performed on the IBIS/ISGRI data. The scientific
products include individual pointing images and the associated detected source
lists in the 17-30, 30-50, 17-50 and 50-100 keV energy bands, as well as
light-curves binned over 100 s in the 17-30 keV band for sources of interest.
Dedicated scripts to handle such vast datasets and results have been developed.
We make the analysis tools to build such an archive publicly available. The
whole database (raw data and products) enables an easy access to the hard X-ray
long-term behavior of a large sample of sources.


title: On the Dispersion Measure of High-Redshift Synchrotron Sources

abstract:
  A method is proposed for deriving the dispersion measure (related to the
line-of-sight integrated free electron density) to high-redshift, powerful
synchrotron radio sources by analysis of the temporal/spectral properties of
the recorded signals. This would allow direct measurements of the distributed
density of ionized baryons along the line-of-sights to the sources.


title: On a Class of Finsler Metrics of Scalar Flag Curvature

abstract:
  We have shown that the Beltrami Theorem in Riemannian geometry is still true
for square metrics if the dimension $n\ge 3$, namely, an $n(\ge 3)$-dimensional
square metric is locally projectively flat if and only if it is of scalar flag
curvature. In this paper, we go on with the study of the Beltrami Theorem for a
larger class of $(\alpha,\beta)$-metrics $F=\alpha\phi(\beta/\alpha)$ including
square metrics, where $\phi(s)$ is determined by a family of known ODEs
satisfied by projectively flat $(\alpha,\beta)$-metrics. For this class, we
prove that the Beltrami Theorem holds if $\beta$ is closed, and in particular,
we prove that $\beta$ must be closed for a subclass with $\phi(s)$ being a
polynomial of degree two. Further, we obtain the local and in part the global
classifications to those metrics of scalar flag curvature.


title:
Critical D-module reps for finite superconformal algebras and their
  superconformal mechanics

abstract:
  The simple finite Lie superalgebras D(2,1;\alpha), G(3), D(4,1), D(2,2),
A(3,1) and F(4) admit D-module representations, given by a set of differential
operators of a single real variable t, at a critical value of the scaling
dimension \lambda. These superalgebras are one-dimensional N-extended
superconformal algebras with N=4 (D(2,1;\alpha)), N=7 (G(3)) and N=8 (the
remaining ones). The critical D-module reps induce invariant actions in the
Lagrangian framework for superconformal mechanics in D target dimensions. The
N=8 critical scalings \lambda=1/(D-4) are linked to the D-dimensional harmonic
functions with D=1,2,3,5,6,7,8. This talk is based on J. Math. Phys. 53 (2012)
043513 (arXiv:1112.0995), J. Math. Phys. 53 (2012) 103518 (arXiv:1208.3612) and
some extra material.


title: On applications of Orlicz Spaces to Statistical Physics

abstract:
  We present a new rigorous approach based on Orlicz spaces for the description
of the statistics of large regular statistical systems, both classical and
quantum. This approach has the advantage that statistical mechanics is much
better settled. In particular, a new kind of renormalization leading to states
having a well defined entropy function is presented.


title:
Edge currents as a signature of flat bands in topological
  superconductors

abstract:
  We study nondegenerate flat bands at the surfaces of noncentrosymmetric
topological superconductors by exact diagonalization of Bogoliubov-de Gennes
Hamiltonians. We show that these states are strongly spin polarized, and
acquire a chiral dispersion when placed in contact with a ferromagnetic
insulator. This chiral mode carries a large edge current which displays a
singular dependence on the exchange-field strength. The contribution of other
edge states to the current is comparably weak. We hence propose that the
observation of the edge current can serve as a test of the presence of
nondegenerate flat bands.


title:
Improved multiple birdsong tracking with distribution derivative method
  and Markov renewal process clustering

abstract:
  Segregating an audio mixture containing multiple simultaneous bird sounds is
a challenging task. However, birdsong often contains rapid pitch modulations,
and these modulations carry information which may be of use in automatic
recognition. In this paper we demonstrate that an improved spectrogram
representation, based on the distribution derivative method, leads to improved
performance of a segregation algorithm which uses a Markov renewal process
model to track vocalisation patterns consisting of singing and silences.


title:
Locally epistatic genomic relationship matrices for genomic association,
  prediction and selection

abstract:
  As the amount and complexity of genetic information increases it is necessary
that we explore some efficient ways of handling these data. This study takes
the "divide and conquer" approach for analyzing high dimensional genomic data.
Our aims include reducing the dimensionality of the problem that has to be
dealt one at a time, improving the performance and interpretability of the
models. We propose using the inherent structures in the genome; to divide the
bigger problem into manageable parts. In plant and animal breeding studies a
distinction is made between the commercial value (additive + epistatic genetic
effects) and the breeding value (additive genetic effects) of an individual
since it is expected that some of the epistatic genetic effects will be lost
due to recombination. In this paper, we argue that the breeder can take
advantage of some of the epistatic marker effects in regions of low
recombination. The models introduced here aim to estimate local epistatic line
heritability by using the genetic map information and combine the local
additive and epistatic effects. To this end, we have used semi-parametric mixed
models with multiple local genomic relationship matrices with hierarchical
testing designs and lasso post-processing for sparsity in the final model and
speed. Our models produce good predictive performance along with genetic
association information.


title:
Ionized Gas Kinematics at High Resolution. II: Discovery of a Double
  Infrared Cluster in II Zw 40

abstract:
  The nearby dwarf galaxy II Zw 40 hosts an intense starburst. At the center of
the starburst is a bright compact radio and infrared source, thought to be a
giant dense HII region containing ~14,000 O stars. Radio continuum images
suggest that the compact source is actually a collection of several smaller
emission regions. We accordingly use the kinematics of the ionized gas to probe
the structure of the radio-infrared emission region. With TEXES on the
NASA-IRTF we measured the 10.5um [SIV] emission line with effective spectral
resolutions, including thermal broadening, of ~25 and ~3 km/s and spatial
resolution ~1". The line profile shows two distinct, spatially coextensive,
emission features. The stronger feature is at galactic velocity and has FWHM 47
km/s. The second feature is ~44km/s redward of the first and has FWHM 32 km/s.
We argue that these are two giant embedded clusters, and estimate their masses
to be ~3x10^5Mo and ~1.5x10^5 Mo. The velocity shift is unexpectedly large for
such a small spatial offset. We suggest that it may arise in a previously
undetected kinematic feature remaining from the violent merger that formed the
galaxy.


title:
The Third Life of Quantum Logic: Quantum Logic Inspired by Quantum
  Computing

abstract:
  We begin by discussing the history of quantum logic, dividing it into three
eras or lives. The first life has to do with Birkhoff and von Neumann's
algebraic approach in the 1930's. The second life has to do with attempt to
understand quantum logic as logic that began in the late 1950's and blossomed
in the 1970's. And the third life has to do with recent developments in quantum
logic coming from its connections to quantum computation. We discuss our own
work connecting quantum logic to quantum computation (viewing quantum logic as
the logic of quantum registers storing qubits), and make some speculations
about mathematics based on quantum principles.


title:
The relation between chemical abundances and kinematics of the Galactic
  disc with RAVE

abstract:
  Aims: We study the relations between stellar kinematics and chemical
abundances of a large sample of RAVE giants in search for selection criteria
needed for disentangling different Galactic stellar populations. Methods: We
select a sample of 2167 giant stars with signal-to-noise per spectral
measurements above 75 from the RAVE chemical catalogue and follow the analysis
performed by Gratton and colleagues on 150 subdwarf stars spectroscopically
observed at high-resolution. We then use a larger sample of 9131 giants (with
signal-to-noise above 60) to investigate the chemo-kinematical characteristics
of our stars by grouping them into nine subsamples with common eccentricity
($e$) and maximum distance achieved above the Galactic plane ($Z_max$).
Results: The RAVE kinematical and chemical data proved to be reliable by
reproducing the results by Gratton et al. obtained with high-resolution
spectroscopic data. Our analysis, based on the $e$-$Z_max$ plane combined with
additional orbital parameters and chemical information, provides an alternative
way of identifying different populations of stars. In addition to extracting
canonical thick- and thin-disc samples, we find a group of stars in the
Galactic plane ($Z_max<1$ kpc and 0.4 $< e < $0.6), which show homogeneous
kinematics but differ in their chemical properties. We interpret this as a
clear sign that some of these stars have experienced the effects of heating
and/or radial migration, which have modified their original orbits. The
accretion origin of such stars cannot be excluded.


title: Note on Structure Formation from Cosmic String Wakes

abstract:
  The search for cosmic strings has been of renewed interest with the advent of
precision cosmology. In this note we give a quantitative description of the
nonlinear matter density fluctuations that can form from a scaling network of
cosmic string wakes. Specifically, we compute the distribution of dark matter
halos. These halos would possess strong correlations in position space that
should have survived until today. We also discuss the challenges involved in
their detection due to their small size and the complex dynamics of their
formation.


title: How much work can a quantum device extract from a heat engine?

abstract:
  Work extraction from a heat engine in a cycle by a quantum mechanical device
(quantum "piston") is analyzed. The standard definition of work fails in the
quantum domain. The correct extractable work and its efficiency bound are shown
to crucially depend on the initial quantum state of the piston. The transient
efficiency bound may exceed the standard Carnot bound, although it complies
with the second law. Energy gain (e.g. in lasing) is shown to drastically
differ from work gain.


title:
The Measurement of Solar Diameter and Limb Darkening Function with the
  Eclipse Observations. Thesis work

abstract:
  A discussion of the solar diameter and its variations must be linked to the
limb darkening function (LDF). We introduce a new method to perform high
resolution astrometry of the solar diameter from the ground, through the
observations of eclipses, using the luminosity evolution of Baily's Bead and
the profile of the lunar edge available from satellite data. The method
proposed is applied for the videos of the eclipse on 15 January 2010 recorded
in Uganda and in India. We obtained a detailed profile constraining the
inflection point position. The result suggests reconsidering the evaluations of
the historical eclipses observed with a naked eye.


title:
A holographic bound on the total number of computations in the visible
  Universe

abstract:
  Information $I$ in holographic imaging of massive particles by star-like
screens is shown to represent the probability of detection based on their
propagator. Results are derived for screens in the shape of a plane, cube and
sphere from unitarity in the exponentially small transition probability for a
detection outside. We derive $I=2\pi \Delta\varphi$ in $\log2$ bits for the
imaging of a particle by a spherical screen at a relative de Broglie phase
$\Delta\varphi$. Encoding mass, charge, angular momentum or radiation requires
at minimum four bits. Minimal screens at maximal information density hereby
recover Reissner-Nordstr\"om and extremal Kerr black holes. Applied to the
visible Universe, the Hubble flow of galaxies through the cosmological event
horizon leaves $10^{121}$ computations in the future.


title: A Note on Twistor Integrals

abstract:
  An exposition of the basic geometry of twistor integrals, intended for
mathematicians.


title: A natural Gromov-Witten virtual fundamental class

abstract:
  We describe a program for proving that the Gromov-Witten moduli spaces of
compact symplectic manifolds carry a unique virtual fundamental class that
satisfies certain naturality conditions. The virtual fundamental class is
constructed using only Ruan-Tian perturbations by introducing stabilizing
divisors, using Cech homology, and systematically applying naturality
conditions. In high dimensions or low genus, no gluing theorems are needed.


title:
What is the simplest model which captures the basic experimental facts
  of the physics of underdoped cuprates?

abstract:
  I discuss here some well established experimental facts which have been shown
to be generic of the pseudogap in underdoped cuprates. Some recent developments
on Cellular Dynamic Mean Field Theories of the doped Hubbard model on a square
lattice are nowadays allowing one to compute physical properties and k resolved
single particle spectra. At high temperatures, recent results present
qualitative features which perfectly fit the experimental observations done for
more than two decades on the pseudogap in the cuprates. Most various broken
symmetry states detected recently at lower temperatures than the pseudogap T*,
certainly require more complicated modelling, and are not necessarily generic.
I suggest that various perturbations due to the order (or disorder) of chemical
dopants, which can hardly be avoided in actual materials, might drive the
pseudogap electronic matter into specific ground states which exhibit
interesting correlated electronic orders.


title:
Recent developments in astrophysical and cosmological exploitation of
  microwave surveys

abstract:
  In this article we focus on the astrophysical results and the related
cosmological implications derived from recent microwave surveys, with emphasis
to those coming from the Planck mission. We critically discuss the impact of
systematics effects and the role of methods to separate the cosmic microwave
background signal from the astrophysical emissions and each different
astrophysical component from the others. We then review of the state of the art
in diffuse emissions, extragalactic sources, cosmic infrared back- ground, and
galaxy clusters, addressing the information they provide to our global view of
the cosmic structure evolution and for some crucial physical parameters, as the
neutrino mass. Finally, we present three different kinds of scientific
perspectives for fundamental physics and cosmology offered by the analysis of
on-going and future cosmic microwave background projects at different angular
scales dedicated to anisotropies in total intensity and polarization and to
absolute temperature.


title:
Enhancing the stability of a continuous-wave terahertz system by
  photocurrent normalization

abstract:
  In a continuous-wave terahertz system based on photomixing, the measured
amplitude of the terahertz signal shows an uncertainty due to drifts of the
responsivities of the photomixers and of the optical power illuminating the
photomixers. We report on a simple method to substantially reduce this
uncertainty. By normalizing the amplitude to the DC photocurrents in both the
transmitter and receiver photomixers, we achieve a significant increase of the
stability. If, e.g., the optical power of one laser is reduced by 10%, the
normalized signal is expected to change by only 0.3%, i.e., less than the
typical uncertainty due to short-term fluctuations. This stabilization can be
particularly valuable for terahertz applications in non-ideal environmental
conditions outside of a temperature-stabilized laboratory.


title: On the regularity of crossed products

abstract:
  We study some generalizations of the notion of regular crossed products K*G.
For the case when K is an algebraically closed field, we give necessary and
sufficient conditions for the twisted group ring K*G to be an n-weakly regular
ring, a $\xi^* N$-ring or a ring without nilpotent elements.


title: Heat capacity of matter beyond the Dulong-Petit value

abstract:
  We propose a new simple way to evaluate the effect of anharmonicity on a
system's thermodynamic functions such as heat capacity. In this approach, the
contribution of all potentially complicated anharmonic effects to
constant-volume heat capacity is evaluated by one parameter only, the
coefficient of thermal expansion. Importantly, this approach is applicable not
only to crystals but also to glasses and viscous liquids. To support this
proposal, we perform molecular dynamics simulations of several crystalline and
amorphous solids as well as liquids, and find a good agreement between results
from theory and simulations. We observe an interesting non-monotonic behavior
of liquid heat capacity with a maximum, and explain this effect as a result of
competition between anharmonicity at low temperature and decreasing number of
transverse modes at high temperature.


title: From Layers to Nanotubes: Transition Metal Disulfides TMS2

abstract:
  MoS2 and WS2 layered transition-metal dichalcogenides are indirect band gap
semiconductors in their bulk forms. Thinned to a monolayer, they undergo a
transition and become direct band gap materials. Layered structures of that
kind can be folded to form nanotubes. We present here the electronic structure
comparison between bulk, monolayered and tubular forms of transition metal
disulfides using first-principle calculations. Our results show that armchair
nanotubes remain indirect gap semiconductors, similar to the bulk system, while
the zigzag nanotubes, like a monolayer, are direct gap materials, what suggests
interesting potential applications in optoelectronics.


title: Fully hadronic tt cross section with the ATLAS detector

abstract:
  A measurement of the tt production cross section in the all-hadronic decay
mode is presented using 4.7 fb-1 of proton-proton collisions at a centre of
mass energy of 7 TeV collected by the ATLAS experiment in 2011. Events are
selected using a multi-jet trigger. Kinematic and b-tagging requirements are
then applied to identify tt event candidates. A kinematic fit reconstructs the
event topology of the final state extracting the top-quark mass which is then
used to measure the production cross section with an unbinned likelihood fit.
The result is found in good agreement with the Standard Model prediction for a
top-quark mass of 172.5 GeV.


title:
Mobility and density induced amplitude death in metapopulation networks
  of coupled oscillators

abstract:
  We investigate the effects of mobility and density on the amplitude death of
coupled oscillators in metapopulation networks, wherein each node represents a
subpopulation with any number of mobile individuals. We perform stochastic
simulations of the dynamical reaction-diffusion processes associated with the
Landau-Stuart oscillators in scale-free networks. Interestingly, we find that,
with increasing the mobility rate or density, the system may undergo phase
transitions from incoherent state to amplitude death, and then to frequency
synchronization. Especially, there exists an extent of intermediate mobility
rate and density leading to global oscillator death. In addition, we show this
nontrivial phenomenon is robust to different network topologies. Our findings
may invoke further efforts and attentions to explore the underlying mechanism
of collective behaviors in metapopulation coupled systems.


title: One-variable word equations in linear time

abstract:
  In this paper we consider word equations with one variable (and arbitrary
many appearances of it). A recent technique of recompression, which is
applicable to general word equations, is shown to be suitable also in this
case. While in general case it is non-deterministic, it determinises in case of
one variable and the obtained running time is O(n + #_X log n), where #_X is
the number of appearances of the variable in the equation. This matches the
previously-best algorithm due to D\k{a}browski and Plandowski. Then, using a
couple of heuristics as well as more detailed time analysis the running time is
lowered to O(n) in RAM model. Unfortunately no new properties of solutions are
shown.


title: The effect of undulations on Spontaneous Braid formation

abstract:
  This paper extends on a recent work where it was shown that forces dependent
on the helical structure may cause two DNA molecules to spontaneously braid [R.
Cortini et Al, Biophys. J. 101, 875 (2011)]. Here, bending fluctuations of DNA
centre lines about the braid axis are incorporated into the braiding theory.
The free energy of the pair of molecules is recalculated and compared to its
value without incorporating undulations. We find that the loss of
configurational entropy due to confinement of the molecules in the braid is
rather high. This contribution to the Free Energy pushes up the amount of
attraction needed for spontaneous braiding due to helix dependant forces. The
theory will be further developed for plectonemes and braids under mechanical
forces, in later work.


title:
Splitting of the Zero-Energy Landau Level and Universal Dissipative
  Conductivity at Critical Points in Disordered Graphene

abstract:
  We report on robust features of the longitudinal conductivity ($\sigma_{xx}$)
of the graphene zero-energy Landau level in presence of disorder and varying
magnetic fields. By mixing an Anderson disorder potential with a low density of
sublattice impurities, the transition from metallic to insulating states is
theoretically explored as a function of Landau-level splitting, using highly
efficient real-space methods to compute the Kubo conductivities (both
$\sigma_{xx}$ and Hall $\sigma_{xy}$). As long as valley-degeneracy is
maintained, the obtained critical conductivity $\sigma_{xx}\simeq 1.4 e^{2}/h$
is robust upon disorder increase (by almost one order of magnitude) and
magnetic fields ranging from about 2 to 200 Tesla. When the sublattice symmetry
is broken, $\sigma_{xx}$ eventually vanishes at the Dirac point owing to
localization effects, whereas the critical conductivities of pseudospin-split
states (dictating the width of a $\sigma_{xy}=0$ plateau) change to
$\sigma_{xx}\simeq e^{2}/h$, regardless of the splitting strength, superimposed
disorder, or magnetic strength. These findings point towards the non
dissipative nature of the quantum Hall effect in disordered graphene in
presence of Landau level splitting.


title: Parametric resonance in tunable superconducting cavities

abstract:
  We develop a theory of parametric resonance in tunable superconducting
cavities. The nonlinearity introduced by the SQUID attached to the cavity, and
damping due to connection of the cavity to a transmission line are taken into
consideration. We study in detail the nonlinear classical dynamics of the
cavity field below and above the parametric threshold for the degenerate
parametric resonance, featuring regimes of multistability and parametric
radiation. We investigate the phase-sensitive amplification of external signals
on resonance, as well as amplification of detuned signals, and relate the
amplifier performance to that of linear parametric amplifiers. We also discuss
applications of the device for dispersive qubit readout. Beyond the classical
response of the cavity, we investigate small quantum fluctuations around the
amplified classical signals. We evaluate the noise power spectrum both for the
internal field in the cavity and the output field. Other quantum statistical
properties of the noise are addressed such as squeezing spectra, second order
coherence, and two-mode entanglement.


title:
IGR J17091-3624: a GRS 1915-105 like source as seen by INTEGRAL and
  Swift

abstract:
  We present here the main characteristics of the BHC IGR J17091-3624 outbursts
occurred several times since 1994. Since 2003, the source has been extensively
observed by INTEGRAL and Swift. In particular, we report results on the last
2011 outburst that showed a rare variability behaviour observed before only in
the galactic BH GRS 1915+105 but at a different level of flux. Several
hypotheses have been proposed in order to explain this particular behaviour.
They are all discussed here, in the light of their apparent contradiction.
Finally, based on all available informations, we attempt to give an overall
view of this enigmatic source and we speculate on the evolutionary state of the
binary system.


title: Recoloring bounded treewidth graphs

abstract:
  Let $k$ be an integer. Two vertex $k$-colorings of a graph are
\emph{adjacent} if they differ on exactly one vertex. A graph is
\emph{$k$-mixing} if any proper $k$-coloring can be transformed into any other
through a sequence of adjacent proper $k$-colorings. Any graph is
$(tw+2)$-mixing, where $tw$ is the treewidth of the graph (Cereceda 2006). We
prove that the shortest sequence between any two $(tw+2)$-colorings is at most
quadratic, a problem left open in Bonamy et al. (2012).
  Jerrum proved that any graph is $k$-mixing if $k$ is at least the maximum
degree plus two. We improve Jerrum's bound using the grundy number, which is
the worst number of colors in a greedy coloring.


title: Circle packing and interpolation in Fock spaces

abstract:
  It was shown by James Tung in 2005 that if a sequence $Z=\{z_n\}$ of points
in the complex plane satisfies $$\inf_{n\not=m}|z_n-z_m|>2/\sqrt\alpha,$$ then
$Z$ is a sequence of interpolation for the Fock space $F^p_\alpha$. Using
results from circle packing, we show that the constant above can be improved to
$$\sqrt{2\pi/(\sqrt3\,\alpha)},$$ which is strictly smaller than
$2/\sqrt\alpha$. A similar result will also be obtained for sampling sequences.


title: Conditional Autoregressive Hilbertian processes

abstract:
  When considering the problem of forecasting a continuous-time stochastic
process over an entire time-interval in terms of its recent past, the notion of
Autoregressive Hilbert space processes (ARH) arises. This model can be seen as
a generalization of the classical autoregressive processes to Hilbert space
valued random variables. Its estimation presents several challenges that were
addressed by many authors in recent years. In this paper, we propose an
extension based on this model by introducing a conditioning process on the arh.
In this way, we are aiming a double objective. First, the intrinsic linearity
of arh is overwhelm. Second, we allow the introduction of exogenous covariates
on this function- valued time series model. We begin defining a new kind of
processes that we call Conditional arh. We then propose estimators for the
infinite dimensional parameters associated to such processes. Using two classes
of predictors defined within the arh framework, we extend these to our case.
Consistency results are provided as well as a real data application related to
electricity load forecasting.


title: Bisimulations over DLTS in O(m.log n)-time

abstract:
  The well known Hopcroft's algorithm to minimize deterministic complete
automata runs in $O(kn\log n)$-time, where $k$ is the size of the alphabet and
$n$ the number of states. The main part of this algorithm corresponds to the
computation of a coarsest bisimulation over a finite Deterministic Labelled
Transition System (DLTS). By applying techniques we have developed in the case
of simulations, we design a new algorithm which computes the coarsest
bisimulation over a finite DLTS in $O(m\log n)$-time and $O(k+m+n)$-space, with
$m$ the number of transitions. The underlying DLTS does not need to be complete
and thus: $m\leq kn$. This new algorithm is much simpler than the two others
found in the literature.


title: Spin-Hall Conductivity and Electric Polarization in Metallic Thin Films

abstract:
  We predict theoretically that, when a normal metallic thin film (without bulk
spin-orbit coupling, such as Cu or Al) is sandwiched by two insulators, two
prominent effects arise due to the interfacial spin-orbit coupling: a giant
spin-Hall conductivity due to the surface scattering and a transverse electric
polarization due to the spin-dependent phase shift in the spinor wave
functions.


title:
Model independent extraction of the pole and Breit-Wigner resonance
  parameters

abstract:
  We show that a slightly modified Breit-Wigner formula can successfully
describe the total cross section even for the broad resonances, from light
rho(770) to the heavy Z boson. In addition to mass, width, and branching
fraction, we include another resonance parameter that turns out to be directly
related to the pole residue phase. The new formula has two mathematically
equivalent forms: one with the pole, and the other with the Breit-Wigner
parameters.


title:
Outer Bounds for Multiterminal Source Coding via a Strong Data
  Processing Inequality

abstract:
  An intuitive outer bound for the multiterminal source coding problem is
given. The proposed bound explicitly couples the rate distortion functions for
each source and correlation measures which derive from a "strong" data
processing inequality. Unlike many standard outer bounds, the proposed bound is
not parameterized by a continuous family of auxiliary random variables, but
instead only requires maximizing two ratios of divergences which do not depend
on the distortion functions under consideration.


title:
Nonlinear multimodal interference and saturable absorption using a short
  graded-index multimode optical fiber

abstract:
  A detailed investigation of the nonlinear multimodal interference in a short
graded-index multimode optical fiber is presented. The analysis is performed
for a specific device geometry, where the light is coupled in and out of the
multimode fiber via single-mode fibers. The same device geometry was recently
used to obtain ultra-low-loss coupling between two single-mode optical fibers
with very different mode-field diameters. Our results indicate the potential
application of this simple geometry for nonlinear devices, such as in nonlinear
switching, optical signal processing, or as saturable absorbers in mode-locked
fiber lasers. Saturable absorption in this all-fiber configuration is discussed
and it is shown that it provides attractive properties that can potentially be
used in high pulse energy mode-locked fiber lasers.


title: On Polynomial Kernels for Sparse Integer Linear Programs

abstract:
  Integer linear programs (ILPs) are a widely applied framework for dealing
with combinatorial problems that arise in practice. It is known, e.g., by the
success of CPLEX, that preprocessing and simplification can greatly speed up
the process of optimizing an ILP. The present work seeks to further the
theoretical understanding of preprocessing for ILPs by initiating a rigorous
study within the framework of parameterized complexity and kernelization.
  A famous result of Lenstra (Mathematics of Operations Research, 1983) shows
that feasibility of any ILP with n variables and m constraints can be decided
in time O(c^{n^3} m^c'). Thus, by a folklore argument, any such ILP admits a
kernelization to an equivalent instance of size O(c^{n^3}). It is known, that
unless NP \subseteq coNP/poly and the polynomial hierarchy collapses, no
kernelization with size bound polynomial in n is possible. However, this lower
bound only applies for the case when constraints may include an arbitrary
number of variables since it follows from lower bounds for Satisfiability and
Hitting Set, whose bounded arity variants admit polynomial kernelizations.
  We consider the feasibility problem for ILPs Ax<= b where A is an
r-row-sparse matrix parameterized by the number of variables. We show that the
kernelizability of this problem depends strongly on the range of the variables.
If the range is unbounded then this problem does not admit a polynomial
kernelization unless NP \subseteq coNP/poly. If, on the other hand, the range
of each variable is polynomially bounded in n then we do get a polynomial
kernelization. Additionally, this holds also for the more general case when the
maximum range d is an additional parameter, i.e., the size obtained is
polynomial in n+d.


title: Fano effect and Andreev bound states in T-shape double quantum dots

abstract:
  In this paper, we investigate the transport through a T-shaped double quantum
dot coupled to two normal metal leads left and right and a superconducting
lead. Analytical expressions of Andreev transmission and local Density of
States of the system at zero temperature have been obtained. We study the role
of the superconducting lead in the quantum interferometric features of the
double quantum dot. We report for first time the Fano effect produced by
Andreev bound states in a side quantum dot. Our results show that as a
consequence of quantum interference and proximity effect, the transmission from
normal to normal lead exhibits Fano resonances due to Andreev bound states. We
find that this interference effect allows us to study the Andreev bound states
in the changes in the conductance between two normal leads.


title:
On Polynomial Kernels for Integer Linear Programs: Covering, Packing and
  Feasibility

abstract:
  We study the existence of polynomial kernels for the problem of deciding
feasibility of integer linear programs (ILPs), and for finding good solutions
for covering and packing ILPs. Our main results are as follows: First, we show
that the ILP Feasibility problem admits no polynomial kernelization when
parameterized by both the number of variables and the number of constraints,
unless NP \subseteq coNP/poly. This extends to the restricted cases of bounded
variable degree and bounded number of variables per constraint, and to covering
and packing ILPs. Second, we give a polynomial kernelization for the Cover ILP
problem, asking for a solution to Ax >= b with c^Tx <= k, parameterized by k,
when A is row-sparse; this generalizes a known polynomial kernelization for the
special case with 0/1-variables and coefficients (d-Hitting Set).


title:
Existence of positive solutions for a critical nonlinear Schrodinger
  equation with vanishing or coercive potentials

abstract:
  In this paper we investigate the existence of the positive solutions for the
following nonlinear Schr\"odinger equation $$ -\triangle
u+V(x)u=K(x)|u|^{p-2}u\ {in}\ \mathbb{R}^N $$ where $V(x)\sim a|x|^{-b}$ and
$K(x)\sim \mu|x|^{-s}$ as $|x|\rightarrow\infty$ with $0<a,\mu<+\infty$, $b<2,$
$ b\neq0$,
  $ 0<\frac{s}{b}<1$ and $p=2(N-2s/b)/(N-2).$


title: On CIS Circulants

abstract:
  A circulant is a Cayley graph over a cyclic group. A well-covered graph is a
graph in which all maximal stable sets are of the same size, or in other words,
they are all maximum. A CIS graph is a graph in which every maximal stable set
and every maximal clique intersect. It is not difficult to show that a
circulant G is a CIS graph if and only if G and its complement are both
well-covered and the product of the independence and the clique numbers of G is
equal to the number of vertices. It is also easy to demonstrate that both
families, the circulants and the CIS graphs, are closed with respect to the
operations of taking the complement and lexicographic product. We study the
structure of the CIS circulants. It is well-known that all P_4-free graphs are
CIS. In this paper, in addition to the simple family of the P_4-free
circulants, we construct a non-trivial sparse but infinite family of CIS
circulants. We are not aware of any CIS circulant that could not be obtained
from graphs in this family by the operations of taking the complement and
lexicographic product.