title:
Magnon self energy in the correlated ferromagnetic Kondo lattice model:
  spin-charge coupling effects on magnon excitations in manganites

abstract:
  Magnon self energy due to spin-charge coupling is calculated for the
correlated ferromagnetic Kondo lattice model using a diagrammatic expansion
scheme. Systematically incorporating correlation effects in the form of
self-energy and vertex corrections, the expansion scheme explicitly preserves
the continuous spin rotation symmetry and hence the Goldstone mode. Due to a
near cancellation of the correlation-induced quantum correction terms at
intermediate coupling and optimal band filling relevant for ferromagnetic
manganites, the renormalized magnon energies for the correlated FKLM are nearly
independent of correlation term. Even at higher band fillings, despite
exhibiting overall non-Heisenberg behavior, magnon dispersion in the \Gamma-X
direction retains nearly Heisenberg form. Therefore, the experimentally
observed doping dependent zone-boundary magnon softening must be ascribed to
spin-orbital coupling effects.


title: Solar Irradiance Variability and Climate

abstract:
  The brightness of the Sun varies on all time scales on which it has been
observed, and there is increasing evidence that it has an influence on climate.
The amplitudes of such variations depend on the wavelength and possibly on the
time scale. Although many aspects of this variability are well established, the
exact magnitude of secular variations (going beyond a solar cycle) and the
spectral dependence of variations are under discussion. The main drivers of
solar variability are thought to be magnetic features at the solar surface. The
climate reponse can be, on a global scale, largely accounted for by simple
energetic considerations, but understanding the regional climate effects is
more difficult. Promising mechanisms for such a driving have been identified,
including through the influence of UV irradiance on the stratosphere and
dynamical coupling to the surface. Here we provide an overview of the current
state of our knowledge, as well as of the main open questions.


title:
Analytical results for the four-loop RG functions in the 2D non-linear
  O(n) {\sigma}-model on the lattice

abstract:
  We recalculate four-loop renormalization group functions in 2-dimensional
nonlinear O(n) {\sigma}-model using coordinate-space method. The high accuracy
of calculation allow us to find the analytical form of {\beta}- and
{\gamma}-function (anomaluos dimension).


title:
The Moran model with selection: Fixation probabilities, ancestral lines,
  and an alternative particle representation

abstract:
  We reconsider the Moran model in continuous time with population size $N$,
two allelic types, and selection. We introduce a new particle representation,
which we call the labelled Moran model, and which has the same distribution of
type frequencies as the original Moran model, provided the initial values are
chosen appropriately. In the new model, individuals are labelled $1,2, \dots,
N$; neutral resampling events may take place between arbitrary labels, whereas
selective events only occur in the direction of increasing labels. With the
help of elementary methods only, we not only recover fixation probabilities,
but also obtain detailed insight into the number and nature of the selective
events that play a role in the fixation process forward in time.


title: Collective modes of a trapped ion-dipole system

abstract:
  We study a simple model consisting of an atomic ion and a polar molecule
trapped in a single setup, taking into consideration their electrostatic
interaction. We determine analytically their collective modes of excitation as
a function of their masses, trapping frequencies, distance, and the molecule's
electric dipole moment. We then discuss the application of these collective
excitations to cool molecules, to entangle molecules and ions, and to realize
two-qubit gates between them. We finally present a numerical analysis of the
possibility of applying these tools to study magnetically ordered phases of
two-dimensional arrays of polar molecules, a setup proposed to quantum-simulate
some strongly-correlated models of condensed matter.


title: On semigroups of endomorphisms of a chain with restricted range

abstract:
  Let $X$ be a finite or infinite chain and let $O(X)$ be the monoid of all
endomorphisms of $X$. In this paper, we describe the largest regular
subsemigroup of $O(X)$ and Green's relations on $O(X)$. In fact, more
generally, if $Y$ is a nonempty subset of $X$ and $O(X,Y)$ the subsemigroup of
$O(X)$ of all elements with range contained in $Y$, we characterize the largest
regular subsemigroup of $O(X,Y)$ and Green's relations on $O(X,Y)$. Moreover,
for finite chains, we determine when two semigroups of the type $O(X,Y)$ are
isomorphic and calculate their ranks.


title:
Comparison between Atomic Force Microscopy and Force Feedback Microscopy
  static force curves

abstract:
  Atomic Force Microscopy (AFM) conventional static force curves and Force
Feedback Microscopy (FFM) force curves acquired with the same cantilever at the
solid/air and solid/liquid interfaces are here compared. The capability of the
FFM to avoid the jump to contact leads to the complete and direct measurement
of the interaction force curve, including the attractive short-range van der
Waals and chemical contributions. Attractive force gradients five times higher
than the lever stiffness do not affect the stability of the FFM static feedback
loop. The feedback loop keeps the total force acting on the AFM tip equal to
zero, allowing the use of soft cantilevers as force transducers to increase the
instrumental sensitivity. The attractive interactions due to the nucleation of
a capillary bridge at the native oxide silicon/air interface or due to a DLVO
interaction at the mica/deionized water interface have been measured. This set
up, suitable for measuring directly and quantitatively interfacial forces, can
be exported to a SFA (Surface Force Apparatus).


title:
Efficiency combined with simplicity: new testing procedures for
  Generalized Inverse Gaussian models

abstract:
  The standard efficient testing procedures in the Generalized Inverse Gaussian
(GIG) family (also known as Halphen Type A family) are likelihood ratio tests,
hence rely on Maximum Likelihood (ML) estimation of the three parameters of the
GIG. The particular form of GIG densities, involving modified Bessel functions,
prevents in general from a closed-form expression for ML estimators, which are
obtained at the expense of complex numerical approximation methods. On the
contrary, Method of Moments (MM) estimators allow for concise expressions, but
tests based on these estimators suffer from a lack of efficiency compared to
likelihood ratio tests. This is why, in recent years, trade-offs between ML and
MM estimators have been proposed, resulting in simpler yet not completely
efficient estimators and tests. In the present paper, we do not propose such a
trade-off but rather an optimal combination of both methods, our tests
inheriting efficiency from an ML-like construction and simplicity from the MM
estimators of the nuisance parameters. This goal shall be reached by attacking
the problem from a new angle, namely via the Le Cam methodology. Besides
providing simple efficient testing methods, the theoretical background of this
methodology further allows us to write out explicitly power expressions for our
tests. A Monte Carlo simulation study shows that, also at small sample sizes,
our simpler procedures do at least as good as the complex likelihood ratio
tests. We conclude the paper by applying our findings on two real-data sets.


title: Rigidity of thermalized soft repulsive spheres around the jamming point

abstract:
  We study the effect of thermalization on the rigidity of a randomly packed
soft repulsive sphere system around the jamming point by analyzing the
shear-modulus using the cloned liquid theory with the 1 step replica symmetry
breaking ansatz and molecular dynamics simulations. Contrarily to the usual
harmonic picture for solids, we found that the thermalized jamming system is
anomalously softer than at zero temperature such that the shear-modulus becomes
as small as the pressure down to vanishingly low temperatures.


title:
Initial-boundary value problems for linear diffusion equation with
  multiple time-fractional derivatives

abstract:
  In this paper, we discuss initial-boundary value problems for linear
diffusion equation with multiple time-fractional derivatives. By means of the
Mittag-Leffler function and the eigenfunction expansion, we reduce the problem
to an integral equation for a solution, and we apply the fixed-point theorem to
prove the unique existence and the H\"older regularity of solution. For the
case of the homogeneous equation, the solution can be analytically extended to
a sector $\{z\in\mathbb{C};z\neq0,|\arg z|<\frac{\pi}{2}\}$. In the case where
all the coefficients of the time-fractional derivatives are positive constants,
by the Laplace transform and the analyticity, we can prove that if a function
satisfies the fractional diffusion equation and the homogeneous Neumann
boundary condition on arbitrary subboundary as well as the homogeneous
Dirichlet boundary condition on the whole boundary, then it vanishes
identically.


title: Bass numbers of local cohomology modules with respect a pair of ideals

abstract:
  Let $R$ be a Noetherian local ring, $I$ and $J$ two ideals of $R$, $M$ an
$R$-module and $s$ and $t$ two integers. We study the relationship between the
Bass numbers of $M$ and $H^{i}_{I,J}(M)$. We show that
  $\mu^t(M)\leq\sum_{i=0}^{t}\mu^{t-i}(H^{i}_{I,J}(M))$ and
$\mu^s(H^{t}_{I,J}(M))\leq
\sum_{i=0}^{t-1}\mu^{s+t+1-i}(H^{i}_{I,J}(M))+\mu^{s+t}(M)+\sum_{i=t+1}^{s+t-1}\mu^{s+t-1-i}(H^{i}_{I,J}(M))$.
  As a consequence, it follows that if $I$ is a principal ideal of $R$ and $M$
is a minimax $R$-module, then $\mu^j(H^{i}_{I,J}(M))$ is finite for all
$i\in\Bbb N_0$ and all $j\in\Bbb N_0$.


title: Exclusion of $c\bar c$ Interpretation for $X(3940)$

abstract:
  Partial decay widths of the $X(3940)$ are evaluated in the $^3P_0$ quark
model, assuming a charmonium scenario for its structure. In the study all model
parameters are predetermined by other reactions. The work reveals that it is
difficult to accommodate the $X(3940)$ with any $c\bar c$ meson state in the
picture of the potential quark model plus the $^3P_0$ quark dynamics.


title:
Study of Exclusive B->X_u l nu Decays and Extraction of |V_{ub}| using
  Full Reconstruction Tagging at the Belle Experiment

abstract:
  We report the results of a study of the exclusive semileptonic decays
B->pi0lnu, B->pi+lnu, B->rho0lnu, B->rho+lnu and B->omegalnu, where l
represents an electron or a muon. The events are tagged by fully reconstructing
a second B meson in the event in a hadronic decay mode. The measured branching
fractions are Br(B->pi0lnu) = (0.80 +- 0.08 +- 0.04)x10^-4, Br(B->pi+lnu) =
(1.49 +- 0.09 +- 0.07)x10^-4, Br(B->rho0lnu) = (1.83 +- 0.10 +- 0.10)x10^-4,
Br(B->rho+lnu) = (3.22 +- 0.27 +- 0.24)x10^-4, and Br(B->omegalnu) =(1.07 +-
0.16 +- 0.07)x10^-4, where the first error is statistical and the second one is
systematic. The obtained branching fractions are inclusive of soft photon
emission. We also determine the branching fractions as a function of the
4-momentum transfer squared to the leptonic system q^2=(p_l+p_nu)^2, where p_l
and p_nu are the lepton and neutrino 4-momenta, respectively. Using the pion
modes, a recent LCSR calculation, lattice QCD results and a model-independent
description of the hadronic form factor, a value of the CKM matrix element
|V_{ub}| = (3.52 +- 0.29)x10^-3 is extracted. For the first time, a charmless
state with invariant mass greater than 1 GeV/c^2, which might be dominated by
the decay B->f2lnu, is observed. These results are obtained from a 711 1/fb
data sample that contains 772 millions BB pairs, collected near the Upsilon(4S)
resonance with the Belle detector at the KEKB asymmetric-energy e^+ e^-
collider.


title: Quantifying the computability of the Lorenz system

abstract:
  It is well known that the computation of accurate trajectories of the Lorenz
system is a difficult problem. Computed solutions are very sensitive to the
discretization error determined by the time step size and polynomial order of
the method, as well as round-off errors.
  In this work, we show how round-off errors limit the computability of the
Lorenz system and quantify exactly the length of intervals over which solutions
can be computed, expressed in terms of the floating point precision. Using
adjoint-based \emph{a posteriori} error analysis techniques, we estimate the
stability of computations with respect to initial data, discretization, and
round-off errors, respectively.
  The analysis is verified by computing an accurate solution on the time
interval $[0, 1000]$ using a very high order (order 200) finite element method
and very high floating point precision 400 digits).


title: Exact boundaries in sequential testing for phase-type distributions

abstract:
  We consider Wald's sequential probability ratio test for deciding whether a
sequence of independent and identically distributed observations comes from a
specified phase-type distribution or from an exponentially tilted alternative
distribution. In this setting, we derive exact decision boundaries for given
Type I and Type II errors by establishing a link with ruin theory. Information
on the mean sample size of the test can be retrieved as well. The approach
relies on the use of matrix-valued scale functions associated to a certain
one-sided Markov additive process. By suitable transformations the results also
apply to other types of distributions including some distributions with
regularly varying tail.


title: The Plastic Flow of Solid 4He through a Porous Membrane

abstract:
  The flow velocity of solid 4He through a porous membrane frozen into a
crystal has been measured in the temperature interval 0.1 - 1.8 K. A flat
capacitor consisting of a metalized plastic porous membrane and a bulk
electrode is applied and the gap in the capacitor was filled with examined
helium. The flow of helium through the membrane pores is caused by a d.c.
voltage applied to the capacitor plates. Above T~1K the velocity of solid 4He
flow decreases with lowering temperature following the Arrhenius law with the
activation energy of the process closed to that of vacancies. At low
temperatures the velocity is practically independent of temperature, which
suggests a transition in 4He from the classical thermally activated
vacancy-related flow to the quantum plastic flow.


title:
Optical absorption and emission of silicon nanocrystals: From single to
  collective response

abstract:
  We report on the possibility of describing the absorption and emission
characteristics of an ensemble of silicon nanocrystals (NCs) with realistic
distributions in the NC size, by the sum of the reponses of the single NCs. The
individual NC responses are evaluated by means of ab-initio theoretical
calculations and the summation is performed by taking into account the trend of
the optical properties as a function of NC size and oxidation degree. The
comparison with experimental results shows a nice matching of the spectra, also
without any tuning of the parameters. Finally, the possibility of adapting the
model in order to reproduce the experimental data is explored and discussed.


title: Nanopattern on Carbon and by Carbon

abstract:
  We have reported nanopattern formation on carbon thin film and Si(100)
surfaces by low energy inert and carbon ion beams. It is interesting to observe
the role of carbon as target as well as projectile for nano patterning. Using
carbon thin film as target, nano patterns of carbon are formed by inert (Ar+)
and self (C+) ion bombardment, whereas carbon ion beam is used to form well
ordered Si nano ripple structure in a cost effective way where implanted carbon
plays an important role to form Si ripple in relatively lower fluence than the
inert projectile.


title: Role of strain in interacting silicon nanoclusters

abstract:
  The possibility of controlling the optical transition probability between
neighbouring silicon nanoclusters (Si-NCs) constitutes nowadays an attractive
prospect in nanophotonics and photovoltaics. In this work, by means of
theoretical ab-initio calculations we investigate the effect of strain on the
opto-electronic properties of Si-NCs pairs. We consider two sources of strain:
the strain induced by an embedding SiO2 matrix, and the strain generated by
mutual NC-NC forces occurring at small distances. Independently on its source,
we observe a fundamental impact of the strain on the orbitals localization and,
as a consequence, on the transition probability between energy states,
belonging or not to the same NC. The resulting picture allots to the structural
strain a fundamental role in the NC-NC interaction mechanisms, suggesting the
possibility of enabling a strain-controlled response in Si-NC ensambles.


title: Identification and rejection of scattered neutrons in AGATA

abstract:
  Gamma rays and neutrons, emitted following spontaneous fission of 252Cf, were
measured in an AGATA experiment performed at INFN Laboratori Nazionali di
Legnaro in Italy. The setup consisted of four AGATA triple cluster detectors
(12 36-fold segmented high-purity germanium crystals), placed at a distance of
50 cm from the source, and 16 HELENA BaF2 detectors. The aim of the experiment
was to study the interaction of neutrons in the segmented high-purity germanium
detectors of AGATA and to investigate the possibility to discriminate neutrons
and gamma rays with the gamma-ray tracking technique. The BaF2 detectors were
used for a time-of-flight measurement, which gave an independent discrimination
of neutrons and gamma rays and which was used to optimise the gamma-ray
tracking-based neutron rejection methods. It was found that standard gamma-ray
tracking, without any additional neutron rejection features, eliminates
effectively most of the interaction points due to recoiling Ge nuclei after
elastic scattering of neutrons. Standard tracking rejects also a significant
amount of the events due to inelastic scattering of neutrons in the germanium
crystals. Further enhancements of the neutron rejection was obtained by setting
conditions on the following quantities, which were evaluated for each event by
the tracking algorithm: energy of the first and second interaction point,
difference in the calculated incoming direction of the gamma ray,
figure-of-merit value. The experimental results of tracking with neutron
rejection agree rather well with Geant4 simulations.


title:
Exactly soluble lattice models for non-abelian states of matter in 2
  dimensions

abstract:
  Following an earlier construction of exactly soluble lattice models for
abelian fractional topological insulators in two and three dimensions, we
construct here an exactly soluble lattice model for a non-abelian $\nu=1$
quantum Hall state and a non-abelian topological insulator in two dimensions.
We show that both models are topologically ordered, exhibiting fractionalized
charge, ground state degeneracy on the torus and protected edge modes. The
models feature non-abelian vortices which carry fractional electric charge in
the quantum Hall case and spin in the topological insulator case. We analyze
the statistical properties of the excitations in detail and discuss the
possibility of extending this construction to 3D non-abelian topological
insulators.


title: A generalization of carries process and Eulerian numbers

abstract:
  We study a generalization of Holte's amazing matrix, the transition
probability matrix of the Markov chains of the 'carries' in a non-standard
numeration system. The stationary distributions are explicitly described by the
numbers which can be regarded as a generalization of the Eulerian numbers and
the MacMahon numbers. We also show that similar properties hold even for the
numeration systems with the negative bases.


title:
Handling Attrition in Longitudinal Studies: The Case for Refreshment
  Samples

abstract:
  Panel studies typically suffer from attrition, which reduces sample size and
can result in biased inferences. It is impossible to know whether or not the
attrition causes bias from the observed panel data alone. Refreshment samples -
new, randomly sampled respondents given the questionnaire at the same time as a
subsequent wave of the panel - offer information that can be used to diagnose
and adjust for bias due to attrition. We review and bolster the case for the
use of refreshment samples in panel studies. We include examples of both a
fully Bayesian approach for analyzing the concatenated panel and refreshment
data, and a multiple imputation approach for analyzing only the original panel.
For the latter, we document a positive bias in the usual multiple imputation
variance estimator. We present models appropriate for three waves and two
refreshment samples, including nonterminal attrition. We illustrate the
three-wave analysis using the 2007-2008 Associated Press-Yahoo! News Election
Poll.


title:
The effect of shape anisotropy on the spectroscopic characterization of
  the magneto-optical activity of nanostructures

abstract:
  How to measure magnetic field induced magneto-optical (MO) activity of
nonmagnetic elliptical plasmonic nanodisks which rest on a dielectric substrate
remains a challenge since the substrate contribute most of the overall MO which
varies with light polarization with respect to the orientation of the
nanodisks. Here we present a spectroscopic characterization. We find that only
when light is incident from the nanostructures side with polarization aligned
with one of the two symmetry axes, one can subtract the MO contribution from
the substrate by an amount equal to that of a bare one. By a detailed
polarizing transmittance measurement we determine the orientation of the two
symmetry axes of the nanodisks. Light polarization is then aligned along the
axes, enabling measurement of the intrinsic MO activity of gold nanodisks,
which is the overall MO activity subtracted by that of a bare glass substrate.
The narrow line widths of the plasmonic resonance features in the MO spectra
imply a potential application in refractive index sensing.


title: On the probability density function of baskets

abstract:
  The state price density of a basket, even under uncorrelated Black-Scholes
dynamics, does not allow for a closed from density. (This may be rephrased as
statement on the sum of lognormals and is especially annoying for such are used
most frequently in Financial and Actuarial Mathematics.) In this note we
discuss short time and small volatility expansions, respectively. The method
works for general multi-factor models with correlations and leads to the
analysis of a system of ordinary (Hamiltonian) differential equations.
Surprisingly perhaps, even in two asset Black-Scholes situation (with its flat
geometry), the expansion can degenerate at a critical (basket) strike level; a
phenomena which seems to have gone unnoticed in the literature to date.
Explicit computations relate this to a phase transition from a unique to more
than one "most-likely" paths (along which the diffusion, if suitably
conditioned, concentrates in the afore-mentioned regimes). This also provides a
(quantifiable) understanding of how precisely a presently out-of-money basket
option may still end up in-the-money.


title:
QCD Reggeon Calculus From KLWMIJ/JIMWLK Evolution: Vertices,
  Reggeization and All

abstract:
  We show explicitly how the high energy QCD evolution generated by the KLWMIJ
Hamiltonian can be cast in the form of the QCD Reggeon Field Theory. We show
how to reduce the KLWMIJ Hamitonian to physical color singlet degrees of
freedom. We suggest a natural way of defining the Pomeron and other Reggeons in
the framework of the KLWMIJ evolution and derive the QCD Reggeon Field Theory
Hamiltonian which includes several lowest Reggeon operators. This Hamiltonian
generates evolution equations for all Reggeons in the case of dilute-dense
scattering, including the nonlinear Balitsky-Kovchegov equation for the
Pomeron. We also find explicit expressions for the Reggeon conjugate operators
in terms of QCD operators, and derive their evolution equations. This provides
a natural and unambiguous framework for reggeization procedure introduced in
\cite{BW, BE}. The Bartels triple Pomeron vertex is inherited directly from the
RFT Hamiltonian. For simplicity in the bulk of the paper we work in the large
$N_c$ limit.


title: Recurrent Convolutional Neural Networks for Scene Parsing

abstract:
  Scene parsing is a technique that consist on giving a label to all pixels in
an image according to the class they belong to. To ensure a good visual
coherence and a high class accuracy, it is essential for a scene parser to
capture image long range dependencies. In a feed-forward architecture, this can
be simply achieved by considering a sufficiently large input context patch,
around each pixel to be labeled. We propose an approach consisting of a
recurrent convolutional neural network which allows us to consider a large
input context, while limiting the capacity of the model. Contrary to most
standard approaches, our method does not rely on any segmentation methods, nor
any task-specific features. The system is trained in an end-to-end manner over
raw pixels, and models complex spatial dependencies with low inference cost. As
the context size increases with the built-in recurrence, the system identifies
and corrects its own errors. Our approach yields state-of-the-art performance
on both the Stanford Background Dataset and the SIFT Flow Dataset, while
remaining very fast at test time.


title:
One-dimensional weak antilocalization and band Berry phases in HgTe
  wires

abstract:
  We study the weak antilocalization (WAL) effect in the magnetoresistance of
narrow HgTe wires fabricated in quantum wells (QWs) with normal and inverted
band ordering. Measurements at different gate voltages indicate that the WAL is
only weakly affected by Rashba spin-orbit splitting and persists when the
Rashba splitting is about zero. The WAL signal in wires with normal band
ordering is an order of magnitude smaller than for inverted ones. These
observations are attributed to a Dirac-like topology of the energy bands in
HgTe QWs. From the magnetic-field and temperature dependencies we extract the
dephasing lengths and band Berry phases. The weaker WAL for samples with a
normal band structure can be explained by a non-universal Berry phase which
always exceeds \pi, the characteristic value for gapless Dirac fermions.


title: Quantization coefficients in infinite systems

abstract:
  We investigate quantization coefficients for self-similar probability
measures \mu on limit sets which are generated by systems S of infinitely many
contractive similarities and by probabilistic vectors. The theory of
quantization coefficients for infinite systems has significant differences from
the finite case. One of these differences is the lack of finite maximal
antichains, and the fact that the set of contraction ratios has zero infimum;
another difference resides in the specific geometry of the non-compact limit
set J of S. We prove that, for each r \in (0,1), there exists a unique positive
number \kappa_r, so that for arbitrary \kappa < \kappa_r < \kappa', the
\kappa-dimensional lower quantization coefficient of order r of \mu is
positive, and we also give estimates for the \kappa'-dimensional upper
quantization coefficient of order r of \mu. In particular, it follows that the
quantization dimension of order r of \mu exists, and it is equal to \kappa_r.
The above results allow then to estimate the asymptotic errors of approximating
the measure \mu in the L_r-Kantorovich-Wasserstein metric, with discrete
measures supported on finitely many points.


title:
Correlated D-meson decays competing against thermal QGP dilepton
  radiation

abstract:
  The QGP that might be created in ultrarelativistic heavy-ion collisions is
expected to radiate thermal dilepton radiation. However, this thermal dilepton
radiation interferes with dileptons originating from hadron decays. In the
invariant mass region between the $\phi$ and $J/\Psi$ peak ($1\,$GeV$\lesssim
M_{\ell^+ \ell^-} \lesssim 3 \,$GeV) the most substantial background of hadron
decays originates from correlated D$\bar{\mathrm{D}}$-meson decays. We evaluate
this background using a Langevin simulation for charm quarks. As background
medium we utilize the well-tested UrQMD-hybrid model. The required drag and
diffusion coefficients are taken from a resonance approach. The decoupling of
the charm quarks from the hot medium is performed at a temperature of
$130\,$MeV and as hadronization mechanism a coalescence approach is chosen.
This model for charm quark interactions with the medium has already been
successfully applied to the study of the medium modification and the elliptic
flow at FAIR, RHIC and LHC energies. In this proceeding we present our results
for the dilepton radiation from correlated D$\bar{\mathrm{D}}$ decays at RHIC
energy in comparison to PHENIX measurements in the invariant mass range between
1 and 3 GeV using different interaction scenarios. These results can be
utilized to estimate the thermal QGP radiation.


title:
Analytic results for planar three-loop four-point integrals from a
  Knizhnik-Zamolodchikov equation

abstract:
  We apply a recently suggested new strategy to solve differential equations
for master integrals for families of Feynman integrals. After a set of master
integrals has been found using the integration-by-parts method, the crucial
point of this strategy is to introduce a new basis where all master integrals
are pure functions of uniform transcendentality. In this paper, we apply this
method to all planar three-loop four-point massless on-shell master integrals.
We explicitly find such a basis, and show that the differential equations are
of the Knizhnik-Zamolodchikov type. We explain how to solve the latter to all
orders in the dimensional regularization parameter epsilon, including all
boundary constants, in a purely algebraic way. The solution is expressed in
terms of harmonic polylogarithms. We explicitly write out the Laurent expansion
in epsilon for all master integrals up to weight six.


title: A symmetry problem for the infinity Laplacian

abstract:
  Aim of this paper is to prove necessary and sufficient conditions on the
geometry of a domain $\Omega \subset \mathbb{R}^n$ in order that the
homogeneous Dirichlet problem for the infinity-Laplace equation in $\Omega$
with constant source term admits a viscosity solution depending only on the
distance from $\partial \Omega$. This problem was previously addressed and
studied by Buttazzo and Kawohl. In the light of some geometrical achievements
reached in our recent paper "On the characterization of some classes of
proximally smooth sets", we revisit the results obtained by Buttazzo and Kawohl
and we prove strengthened versions of them, where any regularity assumption on
the domain and on the solution is removed. Our results require a delicate
analysis based on viscosity methods. In particular, we need to build suitable
viscosity test functions, whose construction involves a new estimate of the
distance function near singular points.


title:
Understanding Dropout: Training Multi-Layer Perceptrons with Auxiliary
  Independent Stochastic Neurons

abstract:
  In this paper, a simple, general method of adding auxiliary stochastic
neurons to a multi-layer perceptron is proposed. It is shown that the proposed
method is a generalization of recently successful methods of dropout (Hinton et
al., 2012), explicit noise injection (Vincent et al., 2010; Bishop, 1995) and
semantic hashing (Salakhutdinov & Hinton, 2009). Under the proposed framework,
an extension of dropout which allows using separate dropping probabilities for
different hidden neurons, or layers, is found to be available. The use of
different dropping probabilities for hidden layers separately is empirically
investigated.


title: Asymptotics for Fixed Transaction Costs

abstract:
  An investor with constant relative risk aversion trades a safe and several
risky assets with constant investment opportunities. For a small fixed
transaction cost, levied on each trade regardless of its size, we explicitly
determine the leading-order corrections to the frictionless value function and
optimal policy.


title:
Twisted-torus configurations with large toroidal magnetic fields in
  relativistic stars

abstract:
  Understanding the properties of the internal magnetic field of neutron stars
remains a theoretical challenge. Over the last years, twisted-torus geometries
have been considered both in Newtonian and general-relativistic equilibrium
models, as they represent a potentially good description of neutron star
interiors. All of these works have found an apparent intrinsic limitation to
geometries that are poloidal-field-dominated, with a toroidal-to-poloidal
energy ratio inside the star that are <10%, unless surface currents are
included and magnetic fields are allowed to be discontinuous. This limitation
is in stark contrast with the general expectation that much higher toroidal
fields should be present in the stellar interior and casts doubt about the
stability and hence realism of these configurations. We here discuss how to
overcome this limitation by adopting a new prescription for the azimuthal
currents that leads to magnetized equilibria where the toroidal-to-total
magnetic-field energy ratio can be as high as 90%, thus including geometries
that are toroidal-field-dominated. Moreover, our results show that for a fixed
exterior magnetic-field strength, a higher toroidal-field energy implies a much
higher total magnetic energy stored in the star, with a potentially strong
impact on the expected electromagnetic and gravitational-wave emission from
highly magnetized neutron stars.


title: The phase shift induced by a single atom in free space

abstract:
  In this article we theoretically study the phase shift a single atom imprints
onto a coherent state light beam in free space. The calculations are performed
in a semiclassical framework. The key parameters governing the interaction and
thus the measurable phase shift are the solid angle from which the light is
focused onto the atom and the overlap of the incident radiation with the atomic
dipole radiation pattern. The analysis includes saturation effects and
discusses the associated Kerr-type non-linearity of a single atom.


title:
Linear response as a singular limit for a periodically driven closed
  quantum system

abstract:
  We address the issue of the validity of linear response theory for a closed
quantum system subject to a periodic external driving. Linear response theory
(LRT) predicts energy absorption at frequencies of the external driving where
the imaginary part of the appropriate response function is different from zero.
Here we show that, for a fairly general non-linear many-body system on a
lattice subject to an extensive perturbation, this approximation should be
expected to be valid only up to a time $t^*$ depending on the strength of the
driving, beyond which the true coherent Schr\"odinger evolution departs from
the linear response prediction and the system stops absorbing energy form the
driving. We exemplify this phenomenon in detail with the example of a quantum
Ising chain subject to a time-periodic modulation of the transverse field, by
comparing an exact Floquet analysis with the standard results of LRT. In this
context, we also show that if the perturbation is just local, the system is
expected in the thermodynamic limit to keep absorbing energy, and LRT works at
all times. We finally argue more generally the validity of the scenario
presented for closed quantum many-body lattice systems with a bound on the
energy-per-site spectrum, discussing the experimental relevance of our findings
in the context of cold atoms in optical lattices and ultra-fast spectroscopy
experiments.


title: Solving Parity Games on Integer Vectors

abstract:
  We consider parity games on infinite graphs where configurations are
represented by control-states and integer vectors. This framework subsumes two
classic game problems: parity games on vector addition systems with states
(vass) and multidimensional energy parity games. We show that the
multidimensional energy parity game problem is inter-reducible with a subclass
of single-sided parity games on vass where just one player can modify the
integer counters and the opponent can only change control-states. Our main
result is that the minimal elements of the upward-closed winning set of these
single-sided parity games on vass are computable. This implies that the Pareto
frontier of the minimal initial credit needed to win multidimensional energy
parity games is also computable, solving an open question from the literature.
Moreover, our main result implies the decidability of weak simulation
preorder/equivalence between finite-state systems and vass, and the
decidability of model checking vass with a large fragment of the modal
mu-calculus.


title:
Tests on the molecular structure of $f_2(1270)$, $f'_2(1525)$ from $\psi
  (nS)$ and $\Upsilon (nS)$ decays

abstract:
  Based on previous studies that support the vector-vector molecular structure
of the $f_2(1270)$, $f'_2(1525)$, $\bar{K}^{*\,0}_2(1430)$, $f_0(1370)$ and
$f_0(1710)$ resonances, we make predictions for $\psi (2S)$ decay into
$\omega(\phi) f_2(1270)$, $\omega(\phi) f'_2(1525)$, $K^{*0}(892)
\bar{K}^{*\,0}_2(1430)$ and radiative decay of $\Upsilon (1S),\Upsilon (2S),
\psi (2S)$ into $\gamma f_2(1270)$, $\gamma f'_2(1525)$, $\gamma f_0(1370)$,
$\gamma f_0(1710)$. Agreement with experimental data is found for three
available ratios, without using free parameters, and predictions are done for
other cases.


title:
Can retinal ganglion cell dipoles seed iso-orientation domains in the
  visual cortex?

abstract:
  It has been argued that the emergence of roughly periodic orientation
preference maps (OPMs) in the primary visual cortex (V1) of carnivores and
primates can be explained by a so-called statistical connectivity model. This
model assumes that input to V1 neurons is dominated by feed-forward projections
originating from a small set of retinal ganglion cells (RGCs). The typical
spacing between adjacent cortical orientation columns preferring the same
orientation then arises via Moir\'{e}-Interference between hexagonal ON/OFF RGC
mosaics. While this Moir\'{e}-Interference critically depends on long-range
hexagonal order within the RGC mosaics, a recent statistical analysis of RGC
receptive field positions found no evidence for such long-range positional
order. Hexagonal order may be only one of several ways to obtain spatially
repetitive OPMs in the statistical connectivity model. Here, we investigate a
more general requirement on the spatial structure of RGC mosaics that can seed
the emergence of spatially repetitive cortical OPMs, namely that angular
correlations between so-called RGC dipoles exhibit a spatial structure similar
to that of OPM autocorrelation functions. Both in cat beta cell mosaics as well
as primate parasol receptive field mosaics we find that RGC dipole angles are
spatially uncorrelated. To help assess the level of these correlations, we
introduce a novel point process that generates mosaics with realistic nearest
neighbor statistics and a tunable degree of spatial correlations of dipole
angles. Using this process, we show that given the size of available data sets,
the presence of even weak angular correlations in the data is very unlikely. We
conclude that the layout of ON/OFF ganglion cell mosaics lacks the spatial
structure necessary to seed iso-orientation domains in the primary visual
cortex.


title: A principle for ideal torus knots

abstract:
  We study simple, knotted and linked torus windings that are made of tubes of
finite thickness. Knots which have the shortest rope length are often denoted
ideal structures. Conventionally, the ideal structure are found by rope
shortening routines. It is shown that alternatively they can be directly
determined as maximally rotated structures. In many cases these structures are
also zero-twist structures i.e. structures that neither rotate one or the other
way under strain. We use this principle to implement rapid numerical
calculations of the ideal structures and subsequently quantify them by their
aspect ratio. The results are compared with the aspect ratios of biological
torus molecules.


title: Chaoticity without thermalisation in disordered lattices

abstract:
  We study chaoticity and thermalization in Bose-Einstein condensates in
disordered lattices, described by the discrete nonlinear Schr\"odinger equation
(DNLS). A symplectic integration method allows us to accurately obtain both the
full phase space trajectories and their maximum Lyapunov exponents (mLEs),
which characterize their chaoticity. We find that disorder destroys ergodicity
by breaking up phase space into subsystems that are effectively disjoint on
experimentally relevant timescales, even though energetically, classical
localisation cannot occur. This leads us to conclude that the mLE is a very
poor ergodicity indicator, since it is not sensitive to the trajectory being
confined to a subregion of phase space. The eventual thermalization of a BEC in
a disordered lattice cannot be predicted based only on the chaoticity of its
phase space trajectory.


title:
Metric Structure of the Space of Two-Qubit Gates, Perfect Entanglers and
  Quantum Control

abstract:
  We derive expressions for the invariant length element and measure for the
simple compact Lie group SU(4) in a coordinate system particularly suitable for
treating entanglement in quantum information processing. Using this metric, we
compute the invariant volume of the space of two-qubit perfect entanglers. We
find that this volume corresponds to more than 84% of the total invariant
volume of the space of two-qubit gates. This same metric is also used to
determine the effective target sizes that selected gates will present in any
quantum-control procedure designed to implement them.


title: What Is Meant by "Missing at Random"?

abstract:
  The concept of missing at random is central in the literature on statistical
analysis with missing data. In general, inference using incomplete data should
be based not only on observed data values but should also take account of the
pattern of missing values. However, it is often said that if data are missing
at random, valid inference using likelihood approaches (including Bayesian) can
be obtained ignoring the missingness mechanism. Unfortunately, the term
"missing at random" has been used inconsistently and not always clearly; there
has also been a lack of clarity around the meaning of "valid inference using
likelihood". These issues have created potential for confusion about the exact
conditions under which the missingness mechanism can be ignored, and perhaps
fed confusion around the meaning of "analysis ignoring the missingness
mechanism". Here we provide standardised precise definitions of "missing at
random" and "missing completely at random", in order to promote unification of
the theory. Using these definitions we clarify the conditions that suffice for
"valid inference" to be obtained under a variety of inferential paradigms.


title:
Almost Kaehler Ricci Flows and Einstein and Lagrange-Finsler Structures
  on Lie Algebroids

abstract:
  In this work we investigate Ricci flows of almost Kaehler structures on Lie
algebroids when the fundamental geometric objects are completely determined by
(semi) Riemannian metrics, or effective) regular generating Lagrange/ Finsler,
functions. There are constructed canonical almost symplectic connections for
which the geometric flows can be represented as gradient ones and characterized
by nonholonomic deformations of Grigory Perelman's functionals. The first goal
of this paper is to define such thermodynamical type values and derive almost
K\"ahler - Ricci geometric evolution equations. The second goal is to study how
fixed Lie algebroid, i.e. Ricci soliton, configurations can be constructed for
Riemannian manifolds and/or (co) tangent bundles endowed with nonholonomic
distributions modelling (generalized) Einstein or Finsler - Cartan spaces.
Finally, there are provided some examples of generic off-diagonal solutions for
Lie algebroid type Ricci solitons and (effective) Einstein and Lagrange-Finsler
algebroids.


title: A solution in small area estimation problems

abstract:
  We present a new method in problems where estimates are needed for finite
population domains with small or even zero sample sizes. In contrast to known
estimation methods, an auxiliary information is used to model sizes of
population units instead of a direct prediction of their values of interest. In
particular, via an additional characterization of regression models, we
incorporate a scatter and variabilities of the units sizes into an estimator,
and then it uses an information of the whole sample by taking into an account a
location of the estimation domain inside the population. To reduce an impact of
the introduced domain total estimator bias to the mean square error, we
construct also a regression type version of the estimator. An efficiency of the
method proposed is shown in a simulation study.


title: I/O-Efficient Planar Range Skyline and Attrition Priority Queues

abstract:
  In the planar range skyline reporting problem, we store a set P of n 2D
points in a structure such that, given a query rectangle Q = [a_1, a_2] x [b_1,
b_2], the maxima (a.k.a. skyline) of P \cap Q can be reported efficiently. The
query is 3-sided if an edge of Q is grounded, giving rise to two variants:
top-open (b_2 = \infty) and left-open (a_1 = -\infty) queries.
  All our results are in external memory under the O(n/B) space budget, for
both the static and dynamic settings:
  * For static P, we give structures that answer top-open queries in O(log_B n
+ k/B), O(loglog_B U + k/B), and O(1 + k/B) I/Os when the universe is R^2, a U
x U grid, and a rank space grid [O(n)]^2, respectively (where k is the number
of reported points). The query complexity is optimal in all cases.
  * We show that the left-open case is harder, such that any linear-size
structure must incur \Omega((n/B)^e + k/B) I/Os for a query. We show that this
case is as difficult as the general 4-sided queries, for which we give a static
structure with the optimal query cost O((n/B)^e + k/B).
  * We give a dynamic structure that supports top-open queries in O(log_2B^e
(n/B) + k/B^1-e) I/Os, and updates in O(log_2B^e (n/B)) I/Os, for any e
satisfying 0 \le e \le 1. This leads to a dynamic structure for 4-sided queries
with optimal query cost O((n/B)^e + k/B), and amortized update cost O(log
(n/B)).
  As a contribution of independent interest, we propose an I/O-efficient
version of the fundamental structure priority queue with attrition (PQA). Our
PQA supports FindMin, DeleteMin, and InsertAndAttrite all in O(1) worst case
I/Os, and O(1/B) amortized I/Os per operation.
  We also add the new CatenateAndAttrite operation that catenates two PQAs in
O(1) worst case and O(1/B) amortized I/Os. This operation is a non-trivial
extension to the classic PQA of Sundar, even in internal memory.


title: Solvable limits of a 4D noncommutative QFT

abstract:
  In previous work we have shown that the (\theta->\infty)-limit of
\phi^4_4-quantum field theory on noncommutative Moyal space is an exactly
solvable matrix model. In this paper we translate these results to position
space. We show that the Schwinger functions are symmetric and invariant under
the full Euclidean group. The Schwinger functions only depend on matrix
correlation functions at coinciding indices per topological sector, and
clustering is violated. We prove that Osterwalder-Schrader reflection
positivity of the Schwinger two-point function is equivalent to the question
whether the diagonal matrix two-point function is a Stieltjes function.
Numerical investigations suggest that this can at best be expected for the
wrong sign of the coupling constant. The corresponding Wightman functions would
describe particles which interact without momentum transfer. The theory differs
from a free theory by the presence of non-trivial topological sectors.


title:
Hybrid deterministic/stochastic algorithm for large sets of rate
  equations

abstract:
  We propose a hybrid algorithm for the time integration of large sets of rate
equations coupled by a relatively small number of degrees of freedom. A subset
containing fast degrees of freedom evolves deterministically, while the rest of
the variables evolves stochastically. The emphasis is put on the coupling
between the two subsets, in order to achieve both accuracy and efficiency. The
algorithm is tested on the problem of nucleation, growth and coarsening of
clusters of defects in iron, treated by the formalism of cluster dynamics. We
show that it is possible to obtain results indistinguishable from fully
deterministic and fully stochastic calculations, while speeding up
significantly the computations with respect to these two cases.


title: The mathematical foundations of general relativity revisited

abstract:
  The purpose of this paper is to present for the first time an elementary
summary of a few recent results obtained through the application of the formal
theory of partial differential equations and Lie pseudogroups in order to
revisit the mathematical foundations of general relativity. Other engineering
examples (control theory, elasticity theory, electromagnetism) will also be
considered in order to illustrate the three fundamental results that we shall
provide. The paper is therefore divided into three parts corresponding to the
different formal methods used. 1) CARTAN VERSUS VESSIOT: The quadratic terms
appearing in the " Riemann tensor " according to the " Vessiot structure
equations " must not be identified with the quadratic terms appearing in the
well known " Cartan structure equations " for Lie groups and a similar comment
can be done for the " Weyl tensor ". In particular, " curvature+torsion"
(Cartan) must not be considered as a generalization of "curvature alone"
(Vessiot). Roughly, Cartan and followers have not been able to " quotient down
to the base manifold ", a result only obtained by Spencer in 1970 through the
"nonlinear Spencer sequence" but in a way quite different from the one followed
by Vessiot in 1903 for the same purpose and still ignored. 2) JANET VERSUS
SPENCER: The " Ricci tensor " only depends on the nonlinear transformations
(called " elations " by Cartan in 1922) that describe the "difference "
existing between the Weyl group (10 parameters of the Poincar\'e subgroup + 1
dilatation) and the conformal group of space-time (15 parameters). It can be
defined by a canonical splitting, that is to say without using the indices
leading to the standard contraction or trace of the Riemann tensor. Meanwhile,
we shall obtain the number of components of the Riemann and Weyl tensors
without any combinatoric argument on the exchange of indices. Accordingly, the
Spencer sequence for the conformal Killing system and its formal adjoint fully
describe the Cosserat/Maxwell/Weyl theory but General Relativity is not
coherent at all with this result. 3) ALGEBRAIC ANALYSIS: Contrary to other
equations of physics (Cauchy equations, Cosserat equations, Maxwell equations),
the Einstein equations cannot be " parametrized ", that is the generic solution
cannot be expressed by means of the derivatives of a certain number of
arbitrary potential-like functions, solving therefore negatively a 1000 $
challenge proposed by J. Wheeler in 1970. Accordingly, the mathematical
foundations of mathematical physics must be revisited within this formal
framework, though striking it may look like for certain apparently well
established theories such as electromagnetism and general relativity. We insist
on the fact that the arguments presented are of a purely mathematical nature
and are thus unavoidable.


title: Design Studies of the PWO Forward End-cap Calorimeter for PANDA

abstract:
  The PANDA detection system at FAIR, Germany, is designed to study
antiproton-proton annihilations, in order to investigate among others the realm
of charm-meson states and glueballs, which has still much to reveal. The yet
unknown properties of this field are to be unraveled through studying QCD
phenomena in the non-perturbative regime. The multipurpose PANDA detector will
be capable of tracking, calorimetry, and particle identification, and is
foreseen to run at high luminosities providing average reaction rates up to 20
Million interactions/s. The envisaged physics program requires measurements of
photons and charged particles with excellent energy, position, and time
resolutions. The electromagnetic calorimeter (EMC) will serve as one of the
basic components of the detector setup and comprises cooled Lead-Tungstate
(PbWO4) crystals. This paper presents the mechanical design of the Forward
End-cap calorimeter and analyses the response of this detector component in
conjunction with the full EMC and the complete PANDA detector. The simulation
studies are focused on the performance of the planned EMC with respect to the
energy and spatial resolution of the reconstructed photons. Results of the
Monte Carlo simulations, excluding very low-energy photons, have been validated
by data obtained from a prototype calorimeter and shown to fulfil the
requirements imposed by the PANDA physics program.


title: Modeling and Solving Alternative Financial Solutions Seeking

abstract:
  In this paper we build a method to optimize Multi-Year Prospective Budgets.
First we present a systemic model of Local Community Finances. Then, from two
acceptable Multi-Year Prospective Budgets the method implements a Genetic
Algorithm to generate a collection of admissible Multi-Year Prospective Budgets
among which Decision-Makers can choose. The method is tested on simplified
cases and on in operational situation and gives satisfactory results.


title:
Optimal randomized changing dimension algorithms for
  infinite-dimensional integration on function spaces with ANOVA-type
  decomposition

abstract:
  We study the numerical integration problem for functions with infinitely many
variables. The function spaces of integrands we consider are weighted
reproducing kernel Hilbert spaces with norms related to the ANOVA decomposition
of the integrands. The weights model the relative importance of different
groups of variables. We investigate randomized quadrature algorithms and
measure their quality by estimating the randomized worst-case integration
error.
  In particular, we provide lower error bounds for a very general class of
randomized algorithms that includes non-linear and adaptive algorithms.
Furthermore, we propose new randomized changing dimension algorithms and
present favorable upper error bounds. For product weights and
finite-intersection weights our lower and upper error bounds match and show
that our changing dimension algorithms are optimal in the sense that they
achieve convergence rates arbitrarily close to the best possible convergence
rate. As more specific examples, we discuss unanchored Sobolev spaces of
different degrees of smoothness and randomized changing dimension algorithms
that use as building blocks scrambled polynomial lattice rules.
  Our analysis extends the analysis given in [J. Baldeaux, M. Gnewuch. Optimal
randomized multilevel algorithms for infinite-dimensional integration on
function spaces with ANOVA-type decomposition. arXiv:1209.0882v1 [math.NA],
Preprint 2012]. In contrast to the previous article we now investigate a
different cost model for algorithms. With respect to that cost model,
randomized multilevel algorithms cannot, in general, achieve optimal
convergence rates, but, as we prove for important classes of weights, changing
dimension algorithms actually can.


title:
Paralic confinement computations in coastal environment with interlocked
  areas

abstract:
  This paper is in the continuity of a work program. Its goal is to develop an
approach of the paralic confinement usable from the modeling slant, before
implementing it in numerical tools. More specifically, we here deal with the
multiscale aspect of the confinement. If a paralic environment is separated
into two (or more) connected areas, we will show that is possible to split the
confinement problem into two related problems, one for each area. At the end of
this paper, we will focus on the importance of the interface length between the
two subdomains.


title:
A Remark On Global Regularity of 2D Generalized Magnetohydrodynamic
  Equations

abstract:
  In this paper we study the global regularity of the following 2D
(two-dimensional) generalized magnetohydrodynamic equations \begin{eqnarray*}
  \left\{\begin{array}{llll} u_t + u \cdot \nabla u & = & - \nabla p + b \cdot
\nabla b - \nu (-\triangle)^{\alpha} u b_t + u \cdot \nabla b & = & b \cdot
\nabla u - \kappa (-\triangle)^{\beta} b
  \end{array}\right. \end{eqnarray*} and get global regular solutions when $
0\leqslant\alpha < 1 / 2,\,\, \beta \geqslant 1, \,\,3\alpha + 2\beta >3 $,
which improves the results in \cite{TYZ2013}. In particular, we obtain the
global regularity of the 2D generalized MHD when $\alpha=0$ and $\beta>\frac
32$.


title:
Controllable valley and spin transports in ferromagnetic silicene
  junctions

abstract:
  We investigate charge, valley, and spin transports in
normal/ferromagnetic/normal silicene junc- tion. We show that the charge,
valley, and spin conductances in this junction oscillate with the length of the
ferromagnetic silicene. It is also found that the current through this junction
is valley and spin polarized due to the coupling between valley and spin
degrees of freedom, and the valley and spin polarizations can be tuned by local
application of a gate voltage. In particular, we find fully valley and spin
polarized current by applying the electric field. We also obtain the condition
for observing the fully valley and spin polarized current.


title:
Equivalence of classicality and separability based on P phase-space
  representation of symmetric multiqubit states

abstract:
  Classical and quantum world views differ in peculiar ways. Understanding
decisive quantum features -- for which no classical explanation exist -- and
their interrelations is of foundational interest. Moreover, recognizing
non-classical features carries practical significance in information processing
tasks as it offers insights as to why quantum protocols work better than their
classical counterparts. We focus here on two celebrated notions of
non-classicality viz., negativity of P phase-space representation and
entanglement in symmetric multiqubit systems. We prove that they imply each
other.


title: Modified binary encounter Bethe model for electron-impact ionization

abstract:
  Theoretical expressions for ionization cross sections by electron impact
based on the binary encounter Bethe (BEB) model, valid from ionization
threshold up to relativistic energies, are proposed. The new modified BEB
(MBEB) and its relativistic counterpart (MRBEB) expressions are simpler than
the BEB (nonrelativistic and relativistic) expressions because they require
only one atomic parameter, namely the binding energy of the electrons to be
ionized, and use only one scaling term for the ionization of all sub-shells.
The new models are used to calculate the K-, L- and M-shell ionization cross
sections by electron impact for several atoms with Z from 6 to 83. Comparisons
with all, to the best of our knowledge, available experimental data show that
this model is as good or better than other models, with less complexity.


title: Map Matching with Simplicity Constraints

abstract:
  We study a map matching problem, the task of finding in an embedded graph a
path that has low distance to a given curve in R^2. The Fr\'echet distance is a
common measure for this problem. Efficient methods exist to compute the best
path according to this measure. However, these methods cannot guarantee that
the result is simple (i.e. it does not intersect itself) even if the given
curve is simple. In this paper, we prove that it is in fact NP-complete to
determine the existence a simple cycle in a planar straight-line embedding of a
graph that has at most a given Fr\'echet distance to a given simple closed
curve. We also consider the implications of our proof on some variants of the
problem.


title:
On the maximum fraction of edges covered by t perfect matchings in a
  cubic bridgeless graph

abstract:
  A conjecture of Berge and Fulkerson (1971) states that every cubic bridgeless
graph contains 6 perfect matchings covering each edge precisely twice, which
easily implies that every cubic bridgeless graph has three perfect matchings
with empty intersection (this weaker statement was conjectured by Fan and
Raspaud in 1994). Let $m_t$ be the supremum of all reals $\alpha\le 1$ such
that for every cubic bridgeless graph $G$, there exist $t$ perfect matchings of
$G$ covering a fraction of at least $\alpha$ of the edges of $G$. It is known
that the Berge-Fulkerson conjecture is equivalent to the statement that
$m_5=1$, and implies that $m_4=\tfrac{14}{15}$ and $m_3=\tfrac45$. In the first
part of this paper, we show that $m_4=\tfrac{14}{15}$ implies $m_3=\tfrac45$,
and $m_3=\tfrac45$ implies the Fan-Raspaud conjecture, strengthening a recent
result of Tang, Zhang, and Zhu. In the second part of the paper, we prove that
for any $2\le t \le 4$ and for any real $\tau$ lying in some appropriate
interval, deciding whether a fraction of more than (resp. at least) $\tau$ of
the edges of a given cubic bridgeless graph can be covered by $t$ perfect
matching is an NP-complete problem. This resolves a conjecture of Tang, Zhang,
and Zhu.


title:
Atomic spin-orbit coupling synthesized with magnetic-field-gradient
  pulses

abstract:
  We discuss a general scheme for creating atomic spin-orbit coupling (SOC)
such as the Rashba or Dresselhaus types using magnetic-field-gradient pulses.
In contrast to conventional schemes based on adiabatic center-of-mass motion
with atomic internal states restricted to a dressed-state subspace, our scheme
works for the complete subspace of a hyperfine-spin manifold by utilizing the
coupling between the atomic magnetic moment and external magnetic fields. A
spatially dependent pulsed magnetic field acts as an internal-state-dependent
impulse, thereby coupling the atomic internal spin with its orbital
center-of-mass motion, as in the Einstein-de Haas effect. This effective
coupling can be dynamically manipulated to synthesize SOC of any type (Rashba,
Dresselhaus, or any linear combination thereof). Our scheme can be realized
with most experimental setups of ultracold atoms and is especially suited for
atoms with zero nuclear spins.


title: Periodic radio morphology of gamma-ray binaries

abstract:
  Gamma-ray binaries allow us to study physical processes such as particle
acceleration up to very-high energies and gamma-ray emission and absorption
with changing geometrical configurations on a periodic basis. These sources
produce outflows of radio-emitting particles whose structure can be imaged with
Very Long Baseline Interferometry (VLBI). We have studied the changing
morphology of the gamma-ray binaries LS I +61 303 and LS 5039, and we have
discovered the extended emission of PSR B1259-63 and HESS J0632+057. Based on
these results, we have established the basic properties and behaviour of the
radio emission of gamma-ray binaries on AU scales, and we have contributed to
find characteristics that are common to all of them. Here we present the most
relevant properties of each source and the general properties of gamma-ray
binaries, and we describe the implications on the nature of these binary
systems.


title: Systemic risk and spatiotemporal dynamics of the US housing market

abstract:
  Housing markets play a crucial role in economies and the collapse of a
real-estate bubble usually destabilizes the financial system and causes
economic recessions. We investigate the systemic risk and spatiotemporal
dynamics of the US housing market (1975-2011) at the state level based on the
Random Matrix Theory (RMT). We identify rich economic information in the
largest eigenvalues deviating from RMT predictions and unveil that the
component signs of the eigenvectors contain either geographical information or
the extent of differences in house price growth rates or both. Our results show
that the US housing market experienced six different regimes, which is
consistent with the evolution of state clusters identified by the box
clustering algorithm and the consensus clustering algorithm on the partial
correlation matrices. Our analysis uncovers that dramatic increases in the
systemic risk are usually accompanied with regime shifts, which provides a
means of early detection of housing bubbles.


title: VWAP execution and guaranteed VWAP

abstract:
  Optimal liquidation using VWAP strategies has been considered in the
literature, though never in the presence of permanent market impact and only
rarely with execution costs. Moreover, only VWAP strategies have been studied
and the pricing of guaranteed VWAP contracts has never been addressed. In this
article, we develop a model to price guaranteed VWAP contracts in a general
framework for market impact and we highlight the differences between an agency
VWAP and a guaranteed VWAP contract. Numerical methods and applications are
also provided.


title:
Mapping the File Systems Genome: rationales, technique, results and
  applications

abstract:
  This paper provides evidence of a feature of Hard-Disk Drives (HDDs), that we
call File System Genome. Such a feature is originated by the areas where (on
the HDD) the file blocks are placed by the operating system during the
installation procedure. It appears from our study that the File System Genome
is a distinctive and unique feature of each indi- vidual HDD. In particular,
our extensive set of experiments shows that the installation of the same
operating system on two identical hardware configurations generates two
different File System Genomes. Further, the application of sound information
theory tools, such as min entropy, show that the differences between two File
System Genome are considerably relevant. The results provided in this paper
constitute the scientific basis for a number of applications in various fields
of information technology, such as forensic identification and security.
Finally, this work also paves the way for the application of the highlighted
technique to other classes of mass-storage devices (e.g. SSDs, Flash memories).


title: Bayesian inference for CoVaR

abstract:
  Recent financial disasters emphasised the need to investigate the consequence
associated with the tail co-movements among institutions; episodes of contagion
are frequently observed and increase the probability of large losses affecting
market participants' risk capital. Commonly used risk management tools fail to
account for potential spillover effects among institutions because they provide
individual risk assessment. We contribute to analyse the interdependence
effects of extreme events providing an estimation tool for evaluating the
Conditional Value-at-Risk (CoVaR) defined as the Value-at-Risk of an
institution conditioned on another institution being under distress. In
particular, our approach relies on Bayesian quantile regression framework. We
propose a Markov chain Monte Carlo algorithm exploiting the Asymmetric Laplace
distribution and its representation as a location-scale mixture of Normals.
Moreover, since risk measures are usually evaluated on time series data and
returns typically change over time, we extend the CoVaR model to account for
the dynamics of the tail behaviour. Application on U.S. companies belonging to
different sectors of the Standard and Poor's Composite Index (S&P500) is
considered to evaluate the marginal contribution to the overall systemic risk
of each individual institution


title:
A test of the failed disk wind scenario for the origin of the broad line
  region in active galactic nuclei

abstract:
  It has been recently proposed that the broad line region in active galactic
nuclei originates from dusty clouds driven from the accretion disk by radiation
pressure, at a distance from the black hole where the disk is cooler than the
dust sublimation temperature. We test this scenario by checking the consistency
of independent broad line region and accretion disk reverberation measurements,
for a sample of 11 well studied active galactic nuclei. We show that
independent disk and broad line region reverberation mapping measurements are
compatible with a universal disk temperature at the H{\beta} radius of
T[R(H{\beta})]=1670(231) K which is close to typical dust sublimation
temperatures.


title: Bound states in a hyperbolic asymmetric double-well

abstract:
  We report a new class of hyperbolic asymmetric double-well whose bound state
wavefunctions can be expressed in terms of confluent Heun functions. An
analytic procedure is used to obtain the energy eigenvalues and the criterion
for the potential to support bound states is discussed.


title: Some results on the invertibility of Toeplitz plus Hankel operators

abstract:
  The paper deals with the invertibility of Toeplitz plus Hankel operators
T(a)+H(b) acting on classical Hardy spaces on the unit circle T. It is supposed
that the generating functions a and b satisfy the condition
a(t)a(1/t)=b(t)b(1/t). Special attention is paid to the case of piecewise
continuous generating functions. In some cases the dimensions of null spaces of
the operator $T(a)+H(b)$ and its adjoint are described.


title: The Quantum Challenge in Concept Theory and Natural Language Processing

abstract:
  The mathematical formalism of quantum theory has been successfully used in
human cognition to model decision processes and to deliver representations of
human knowledge. As such, quantum cognition inspired tools have improved
technologies for Natural Language Processing and Information Retrieval. In this
paper, we overview the quantum cognition approach developed in our Brussels
team during the last two decades, specifically our identification of quantum
structures in human concepts and language, and the modeling of data from
psychological and corpus-text-based experiments. We discuss our
quantum-theoretic framework for concepts and their conjunctions/disjunctions in
a Fock-Hilbert space structure, adequately modeling a large amount of data
collected on concept combinations. Inspired by this modeling, we put forward
elements for a quantum contextual and meaning-based approach to information
technologies in which 'entities of meaning' are inversely reconstructed from
texts, which are considered as traces of these entities' states.


title:
Sheaf representations of MV-algebras and lattice-ordered abelian groups
  via duality

abstract:
  We study representations of MV-algebras -- equivalently, unital
lattice-ordered abelian groups -- through the lens of Stone-Priestley duality,
using canonical extensions as an essential tool. Specifically, the theory of
canonical extensions implies that the (Stone-Priestley) dual spaces of
MV-algebras carry the structure of topological partial commutative ordered
semigroups. We use this structure to obtain two different decompositions of
such spaces, one indexed over the prime MV-spectrum, the other over the maximal
MV-spectrum. These decompositions yield sheaf representations of MV-algebras,
using a new and purely duality-theoretic result that relates certain sheaf
representations of distributive lattices to decompositions of their dual
spaces. Importantly, the proofs of the MV-algebraic representation theorems
that we obtain in this way are distinguished from the existing work on this
topic by the following features: (1) we use only basic algebraic facts about
MV-algebras; (2) we show that the two aforementioned sheaf representations are
special cases of a common result, with potential for generalizations; and (3)
we show that these results are strongly related to the structure of the
Stone-Priestley duals of MV-algebras. In addition, using our analysis of these
decompositions, we prove that MV-algebras with isomorphic underlying lattices
have homeomorphic maximal MV-spectra. This result is an MV-algebraic
generalization of a classical theorem by Kaplansky stating that two compact
Hausdorff spaces are homeomorphic if, and only if, the lattices of continuous
[0, 1]-valued functions on the spaces are isomorphic.


title: Fundamental Fracture Mechanics Equation of Material

abstract:
  On the basis of energy conservation law an without utilizing Linear Fracture
Mechanics (LFM) postulates the equation of a real-structure material
elastic-plastic fracture has been derived. With the help of this equation the
force and energy criteria of Non-linear Fracture Mechanics (NLFM) have been
found. These criteria constitute the basis of modern strength analysis of
machineparts and structures made of real-structure materials. $K_{lc}$
dependence on ultimate strength limit, yield limit and impact toughness has
been established and experimentally confirmed for a number of steels


title: The quest for axions and other new light particles

abstract:
  Standard Model extensions often predict low-mass and very weakly interacting
particles, such as the axion. A number of small-scale experiments at the
intensity/precision frontier are actively searching for these elusive
particles, complementing searches for physics beyond the Standard Model at
colliders. Whilst a next generation of experiments will give access to a huge
unexplored parameter space, a discovery would have a tremendous impact on our
understanding of fundamental physics.


title:
On the global regularity of two-dimensional generalized
  magnetohydrodynamics system

abstract:
  We study the two-dimensional generalized magnetohydrodynamics system with
dissipation and diffusion in terms of fractional Laplacians. In particular, we
show that in case the diffusion term has the power $\beta = 1$, in contrast to
the previous result of $\alpha \geq \frac{1}{2}$, we show that $\alpha >
\frac{1}{3}$ suffices in order for the solution pair to remain smooth for all
time.


title: On Some Recent Insights in Integral Biomathics

abstract:
  This paper summarizes the results in Integral Biomathics obtained to this
moment and provides an outlook for future research in the field.


title: Induction of gravity and strong interactions on non-associative algebra

abstract:
  In this work we take view on space-time as dual representation of fields on
manifold. Given we accept such view, the space of functions in operator
representation becomes probability amplitudes f(x) of a particle. Since the
probabilistic interpretation of f(x) module follows from f(x) and f*(x)
duality, the problem of finding representation of wave function reduces to
Frobenius theorem for division algebras. We then construct the gravity model
and the model of strong interactions as a logical implication of the extension
of fields interaction algebra to non-associative algebra of octonions. The
application of Penrouse approach in spinor representation of space-time
combined with the proposed approach further leads us to chirality of
interactions and absence of right neutrino and left spinors in singleton state.
We also show the obtained model is consistent with general theory of relativity
and SU(3) for distances larger than Planck length. The obtained model also
contains the generalization of general theory of relativity to the model with
torsion given the chirality of the field. Importantly, the application of our
approach gives us Einstein equation with gravity constant equal to squared
Planck mass as consequence of non-associativity of interactions fields. We
construct strong interaction model based on matrix representation of octonion
algebra with special multiplication rule. The strong interaction is induced by
vector fields of octonion algebra with constant gravity force, which is in turn
induced by a pair of charged $W$ vector bosons from standard theory of weak
interactions. The problem of quark confinement is presented as a spinor
solution inside "black hole".


title:
A contribution to the connections between Fibonacci Numbers and Matrix
  Theory

abstract:
  We present a lovely connection between the Fibonacci numbers and the sums of
inverses of $(0,1)-$ triangular matrices, namely, a number $S$ is the sum of
the entries of the inverse of an $n \times n$ $(n \geq 3)$ $(0,1)-$ triangular
matrix iff $S$ is an integer between $2-F_{n-1}$ and $2+F_{n-1}$. Corollaries
include Fibonacci identities and a Fibonacci type result on determinants of
family of (1,2)-matrices.


title:
Dynamic and Dielectric Response of Charged Colloids in Electrolyte
  Solutions to External Electric Fields

abstract:
  Computer simulations are used to investigate the response of a charged
colloid and its surrounding microion cloud to an external electric field. Both
static fields (DC) and alternating fields (AC) are considered. A mesoscopic
simulation method is implemented to account in full for hydrodynamic and
electrostatic interactions. The response of the system can be characterized by
two quantities: the mobility and the polarizability. Due to the interplay of
the electrostatic attraction and hydrodynamic drag, the response of the
microions close to the colloid surface is different from that of the microions
far away from the colloid. Both the mobility and polarizability exhibit a
dependency on the frequency of the external fields, which can be attributed to
the concentration polarization, the mobility of the microions, and the inertia
of microions. The effects of the colloidal charge, the salt concentration, and
the frequency of the external fields are investigated systematically.


title: Correlations between charge radii, E0 transitions, and M1 strength

abstract:
  In the framework of the interacting boson model, relations are derived
between nuclear charge radii, electric monopole transition rates, and summed
magnetic dipole transition in even-even nuclei. The proposed correlations are
tested in the rare-earth region.


title: Sub-Doppler optical resolution by confining a vapour in a nanostructure

abstract:
  We show that a thermal vapor confined in a nanostructure is of spectroscopic
interest. We perform reflection spectroscopy on a Cs vapour cell whose window
is covered with a thin opal film (typically, 10 or 20 layers of ~ 1{\mu}m
diameter spheres). Sub-Doppler structures appear in the optical spectrum in a
purely linear regime of optical excitation and the signal is shown to originate
from the interstitial regions of the opal. These narrow spectral structures,
observable for a large range of oblique incidence angles (~ 30-50&deg), are an
original feature associated to the 3-D vapor confinement. It remembers a Dicke
narrowing, i.e. a Doppler broadening suppression when the atomic motion is
sub-wavelength confined. This narrowing, commonly observed in the r.f. domain
when a buffer gas ensures a collision confinement effect, had remained elusive
in the optical frequency. Also, we describe preliminary experiments performed
in a pump-probe technique, intended to elucidate the spatial origin of the
narrow contribution. We finally discuss how our results allow envisioning
micron-size references for optical frequency clocks, and high resolution
spectroscopy of weak and hard-to-saturate molecular lines.


title:
Detection of slow atoms confined in a Cesium vapor cell by spatially
  separated pump and probe laser beams

abstract:
  The velocity distribution of atoms in a thermal gas is usually described
through a Maxwell-Boltzman distribution of energy, and assumes isotropy. As a
consequence, the probability for an atom to leave the surface under an azimuth
angle {\theta} should evolve as cos {\theta}, in spite of the fact that there
is no microscopic basis to justify such a law. The contribution of atoms moving
at a grazing incidence towards or from the surface, i.e. atoms with a small
normal velocity, here called "slow" atoms, reveals essential in the development
of spectroscopic methods probing a dilute atomic vapor in the vicinity of a
surface, enabling a sub-Doppler resolution under a normal incidence
irradiation. The probability for such "slow" atoms may be reduced by surface
roughness and atom-surface interaction. Here, we describe a method to observe
and to count these slow atoms relying on a mechanical discrimination, through
spatially separated pump and probe beams. We also report on our experimental
progresses toward such a goal.


title: Excitonic recombinations in hBN: from bulk to exfoliated layers

abstract:
  Hexagonal boron nitride (h-BN) and graphite are structurally similar but with
very different properties. Their combination in graphene-based devices meets
now a huge research focus, and it becomes particularly important to evaluate
the role played by crystalline defects in them. In this work, the
cathodoluminescence (CL) properties of hexagonal boron nitride crystallites are
reported and compared to those of nanosheets mechanically exfoliated from them.
First the link between the presence of structural defects and the recombination
intensity of bound-excitons, the so-called D series, is confirmed. Low
defective h-BN regions are further evidenced by CL spectral mapping
(hyperspectral imaging), allowing us to observe new features in the
near-band-edge region, tentatively attributed to phonon replica of exciton
recombinations. Second the h-BN thickness was reduced down to six atomic
layers, using mechanical exfoliation, as evidenced by atomic force microscopy.
Even at these low thicknesses, the luminescence remains intense and exciton
recombination energies are not strongly modified with respect to the bulk, as
expected from theoretical calculations indicating extremely compact excitons in
h-BN.


title: On $\ZZ_2^n$-equivariant triangulation of $\RR P^n$

abstract:
  We study several properties of $\ZZ_2^n$-equivariant triangulations of $\RR
P^n$. We show that a $\ZZ_2^n$-equivariant triangulation of $\RR P^n$ induces a
triangulated subdivision of the orbit space $\bigtriangleup^n$. We show that
any vertex minimum $\ZZ_2^3$-equivariant triangulation of $\RR P^3$ contains
$11$ vertices.


title:
Detecting Repetitions and Periodicities in Proteins by Tiling the
  Structural Space

abstract:
  The notion of energy landscapes provides conceptual tools for understanding
the complexities of protein folding and function. Energy Landscape Theory
indicates that it is much easier to find sequences that satisfy the "Principle
of Minimal Frustration" when the folded structure is symmetric (Wolynes, P. G.
Symmetry and the Energy Landscapes of Biomolecules. Proc. Natl. Acad. Sci.
U.S.A. 1996, 93, 14249-14255). Similarly, repeats and structural mosaics may be
fundamentally related to landscapes with multiple embedded funnels. Here we
present analytical tools to detect and compare structural repetitions in
protein molecules. By an exhaustive analysis of the distribution of structural
repeats using a robust metric we define those portions of a protein molecule
that best describe the overall structure as a tessellation of basic units. The
patterns produced by such tessellations provide intuitive representations of
the repeating regions and their association towards higher order arrangements.
We find that some protein architectures can be described as nearly periodic,
while in others clear separations between repetitions exist. Since the method
is independent of amino acid sequence information we can identify structural
units that can be encoded by a variety of distinct amino acid sequences.


title:
Generation of concentration density maxima of small dispersive coal dust
  particles in horizontal iodine air filter at air-dust aerosol blow

abstract:
  The spatial distributions of the small dispersive coal dust particles with
the nano and micro sizes in the granular filtering medium with the cylindrical
coal granules in the absorber in the horizontal iodine air filter during its
long term operation at the nuclear power plant are researched. It is shown that
the concentration density maxima of the small dispersive coal dust particles
appear in the granular filtering medium with the cylindrical coal absorbent
granules in the horizontal iodine air filter at an action by the air dust
aerosol blow. The comparison of the measured aerodynamic resistances of the
horizontal and vertical iodine air filters is conducted. The main conclusion is
that the magnitude of the aerodynamic resistance of the horizontal iodine air
filters is much smaller in comparison with the magnitude of the aerodynamic
resistance of the vertical iodine air filters at the same loads of the air dust
aerosol volumes. It is explained that the direction of the air dust aerosol
blow and the direction of the gravitation force in the horizontal iodine air
filter are orthogonal, hence the effective accumulation of the small dispersive
coal dust particles takes place at the bottom of absorber in the horizontal
iodine air filter. It is found that the air dust aerosol stream flow in the
horizontal iodine air filter is not limited by the appearing structures, made
of the precipitated small dispersive coal dust particles, in distinction from
the vertical iodine air filter, in the process of long term operation of the
iodine air filters at the nuclear power plant.


title:
A Simple Approach to Functional Inequalities for Non-local Dirichlet
  Forms

abstract:
  With direct and simple proofs, we establish Poincar\'{e} type inequalities
(including Poincar\'{e} inequalities, weak Poincar\'{e} inequalities and super
Poincar\'{e} inequalities), entropy inequalities and Beckner-type inequalities
for non-local Dirichlet forms. The proofs are efficient for non-local Dirichlet
forms with general jump kernel, and also work for $L^p (p>1)$ settings. Our
results yield a new sufficient condition for fractional Poincar\'{e}
inequalities, which were recently studied in \cite{MRS,Gre}. To our knowledge
this is the first result providing entropy inequalities and Beckner-type
inequalities for measures more general than L\'{e}vy measures.


title:
Herschel's "Cold Debris Disks": Background Galaxies or Quiescent Rims of
  Planetary Systems?

abstract:
  (abridged) Infrared excesses associated with debris disk host stars detected
so far peak at wavelengths around ~100{\mu}m or shorter. However, six out of 31
excess sources in the Herschel OTKP DUNES have been seen to show significant -
and in some cases extended - excess emission at 160{\mu}m, which is larger than
the 100{\mu}m excess. This excess emission has been suggested to stem from
debris disks colder than those known previously. Using several methods, we
re-consider whether some or even all of the candidates may be associated with
unrelated galactic or extragalactic emission and conclude that it is highly
unlikely that none of the candidates represents a true circumstellar disk. For
true disks, both the dust temperatures inferred from the SEDs and the disk
radii estimated from the images suggest that the dust is nearly as cold as a
blackbody. This requires the grains to be larger than ~100{\mu}m, regardless of
their material composition. To explain the dearth of small grains, we explore
several conceivable scenarios: transport-dominated disks, disks of low
dynamical excitation, and disks of unstirred primordial macroscopic grains. Our
qualitative analysis and collisional simulations rule out the first two of
these scenarios, but show the feasibility of the third one. We show that such
disks can survive for gigayears, largely preserving the primordial size
distribution. They should be composed of macroscopic solids larger than
millimeters, but smaller than kilometers in size. Thus planetesimal formation,
at least in the outer regions of the systems, has stopped before "cometary" or
"asteroidal" sizes were reached.


title:
Fabrication and tuning of plasmonic optical nanoantennas around droplet
  epitaxy quantum dots by cathodoluminescence

abstract:
  We use cathodoluminescence to locate droplet epitaxy quantum dots with a
precision $\lesssim$ nm before fabricating nanoantennas in their vicinity by
electron-beam lithography. Cathodoluminescence is further used to evidence the
effect of the antennas as a function of their length on the light emitted by
the dot. Experimental results are in good agreement with numerical simulations
of the structures.


title:
A criterion for a monomial ideal to have a linear resolution in
  characteristic 2

abstract:
  In this paper we give a necessary and sufficient combinatorial condition for
a monomial ideal to have a linear resolution over fields of characteristic 2.
We also give a new proof of Fr\"oberg's theorem over fields of characteristic
2.


title: Optical properties of single ZnTe nanowires grown at low temperature

abstract:
  Optically active gold-catalyzed ZnTe nanowires have been grown by molecular
beam epitaxy, on a ZnTe(111) buffer layer, at low temperature 350\degree under
Te rich conditions, and at ultra-low density (from 1 to 5 nanowires per
micrometer^{2}. The crystalline structure is zinc blende as identified by
transmission electron microscopy. All nanowires are tapered and the majority of
them are <111> oriented. Low temperature micro-photoluminescence and
cathodoluminescence experiments have been performed on single nanowires. We
observe a narrow emission line with a blue-shift of 2 or 3 meV with respect to
the exciton energy in bulk ZnTe. This shift is attributed to the strain induced
by a 5 nm-thick oxide layer covering the nanowires, and this assumption is
supported by a quantitative estimation of the strain in the nanowires.


title: On the Mathematics of Music: From Chords to Fourier Analysis

abstract:
  Mathematics is a far reaching discipline and its tools appear in many
applications. In this paper we discuss its role in music and signal processing
by revisiting the use of mathematics in algorithms that can extract chord
information from recorded music. We begin with a light introduction to the
theory of music and motivate the use of Fourier analysis in audio processing.
We introduce the discrete and continuous Fourier transforms and investigate
their use in extracting important information from audio data.


title: Neat-Flat Modules

abstract:
  Let $R$ be a ring and $M$ be a right $R$-module. $M$ is called neat-flat if
any short exact sequence of the form $0\to K\to N\to M\to 0$ is neat-exact i.e.
any homomorphism from a simple right $R$-module $S$ to $M$ can be lifted to
$N$. We prove that, a module is neat-flat if and only if it is
simple-projective. Neat-flat right $R$-modules are projective if and only if
$R$ is a right $\sum$-$CS$ ring. Every finitely generated neat-flat right
$R$-module is projective if and only if $R$ is a right $C$-ring and every
finitely generated free right $R$-module is extending. Every cyclic neat-flat
right $R$-module is projective if and only if $R$ is right $CS$ and right
$C$-ring. Some characterizations of neat-flat modules are obtained over the
rings whose simple right $R$-modules are finitely presented.


title:
Bayesian Inference and Learning in Gaussian Process State-Space Models
  with Particle MCMC

abstract:
  State-space models are successfully used in many areas of science,
engineering and economics to model time series and dynamical systems. We
present a fully Bayesian approach to inference \emph{and learning} (i.e. state
estimation and system identification) in nonlinear nonparametric state-space
models. We place a Gaussian process prior over the state transition dynamics,
resulting in a flexible model able to capture complex dynamical phenomena. To
enable efficient inference, we marginalize over the transition dynamics
function and infer directly the joint smoothing distribution using specially
tailored Particle Markov Chain Monte Carlo samplers. Once a sample from the
smoothing distribution is computed, the state transition predictive
distribution can be formulated analytically. Our approach preserves the full
nonparametric expressivity of the model and can make use of sparse Gaussian
processes to greatly reduce computational complexity.


title:
On the weight hierarchy of codes coming from semigroups with two
  generators

abstract:
  The weight hierarchy of one-point algebraic geometry codes can be estimated
by means of the generalized order bounds, which are described in terms of a
certain Weierstrass semigroup. The asymptotical behaviour of such bounds for r
> 1 differs from that of the classical Feng-Rao distance (r=1) by the so-called
Feng-Rao numbers. This paper is addressed to compute the Feng-Rao numbers for
numerical semigroups of embedding dimension two (with two generators),
obtaining a closed simple formula for the general case by using numerical
semigroup techniques. These involve the computation of the Ap\'ery set with
respect to an integer of the semigroups under consideration. The formula
obtained is applied to lower-bounding the generalized Hamming weights,
improving the bound given by Kirfel and Pellikaan in terms of the classical
Feng-Rao distance. We also compare our bound with a modification of the
Griesmer bound, improving this one in many cases.


title: Random Drift Particle Swarm Optimization

abstract:
  The random drift particle swarm optimization (RDPSO) algorithm, inspired by
the free electron model in metal conductors placed in an external electric
field, is presented, systematically analyzed and empirically studied in this
paper. The free electron model considers that electrons have both a thermal and
a drift motion in a conductor that is placed in an external electric field. The
motivation of the RDPSO algorithm is described first, and the velocity equation
of the particle is designed by simulating the thermal motion as well as the
drift motion of the electrons, both of which lead the electrons to a location
with minimum potential energy in the external electric field. Then, a
comprehensive analysis of the algorithm is made, in order to provide a deep
insight into how the RDPSO algorithm works. It involves a theoretical analysis
and the simulation of the stochastic dynamical behavior of a single particle in
the RDPSO algorithm. The search behavior of the algorithm itself is also
investigated in detail, by analyzing the interaction between the particles.
Some variants of the RDPSO algorithm are proposed by incorporating different
random velocity components with different neighborhood topologies. Finally,
empirical studies on the RDPSO algorithm are performed by using a set of
benchmark functions from the CEC2005 benchmark suite. Based on the theoretical
analysis of the particle's behavior, two methods of controlling the algorithmic
parameters are employed, followed by an experimental analysis on how to select
the parameter values, in order to obtain a good overall performance of the
RDPSO algorithm and its variants in real-world applications. A further
performance comparison between the RDPSO algorithms and other variants of PSO
is made to prove the efficiency of the RDPSO algorithms.


title:
Finding Academic Experts on a MultiSensor Approach using Shannon's
  Entropy

abstract:
  Expert finding is an information retrieval task concerned with the search for
the most knowledgeable people, in some topic, with basis on documents
describing peoples activities. The task involves taking a user query as input
and returning a list of people sorted by their level of expertise regarding the
user query. This paper introduces a novel approach for combining multiple
estimators of expertise based on a multisensor data fusion framework together
with the Dempster-Shafer theory of evidence and Shannon's entropy. More
specifically, we defined three sensors which detect heterogeneous information
derived from the textual contents, from the graph structure of the citation
patterns for the community of experts, and from profile information about the
academic experts. Given the evidences collected, each sensor may define
different candidates as experts and consequently do not agree in a final
ranking decision. To deal with these conflicts, we applied the Dempster-Shafer
theory of evidence combined with Shannon's Entropy formula to fuse this
information and come up with a more accurate and reliable final ranking list.
Experiments made over two datasets of academic publications from the Computer
Science domain attest for the adequacy of the proposed approach over the
traditional state of the art approaches. We also made experiments against
representative supervised state of the art algorithms. Results revealed that
the proposed method achieved a similar performance when compared to these
supervised techniques, confirming the capabilities of the proposed framework.


title:
A variational surface hopping algorithm for the sub-Ohmic spin-boson
  model

abstract:
  The Davydov D1 ansatz, which assigns an individual bosonic trajectory to each
spin state, is an efficient, yet extremely accurate trial state for
time-dependent variation of the sub-Ohmic spin-boson model [J. Chem. Phys. 138,
084111 (2013)]. A surface hopping algorithm is developed employing the Davydov
D1 ansatz to study the spin dynamics with a sub-Ohmic bosonic bath. The
algorithm takes into account both coherent and incoherent dynamics of the
population evolution in a unified manner, and compared with semiclassical
surface hopping algorithms, hopping rates calculated in this work follow more
closely the Marcus formula.


title:
Hierarchical structuring of Cultural Heritage objects within large
  aggregations

abstract:
  Huge amounts of cultural content have been digitised and are available
through digital libraries and aggregators like Europeana.eu. However, it is not
easy for a user to have an overall picture of what is available nor to find
related objects. We propose a method for hier- archically structuring cultural
objects at different similarity levels. We describe a fast, scalable clustering
algorithm with an automated field selection method for finding semantic
clusters. We report a qualitative evaluation on the cluster categories based on
records from the UK and a quantitative one on the results from the complete
Europeana dataset.