title: Affine Hecke algebras and quiver Hecke algebras

abstract:
  We give a presentation of localized affine and degenerate affine Hecke
algebras of arbitrary type in terms of weights of the polynomial subalgebra and
varied Demazure-BGG type operators. We offer a definition of a graded algebra
$\mathcal{H}$ whose category of finite-dimensional ungraded nilpotent modules
is equivalent to the category of finite-dimensional modules over an associated
degenerate affine Hecke algebra. Moreover, unlike the traditional grading on
degenerate affine Hecke algebras, this grading factors through central
characters, and thus gives a grading to the irreducible representations of the
associated degenerate affine Hecke algebra. This paper extends the results
\cite[Theorem 3.11]{rouquier-qha}, and \cite[Main Theorem]{brundan-kleshchev}
where the affine and degenerate affine Hecke algebras for $GL_n$ are shown to
be related to quiver Hecke algebras in type $A$, and also secretly carry a
grading.


title:
Investigating Quality Routing Link Metrics in Wireless Multi-hop
  Networks

abstract:
  In this paper, we propose a new Quality Link Metric (QLM), ``Inverse Expected
Transmission Count (InvETX)'' in Optimized Link State Routing (OLSR) protocol.
Then we compare performance of three existing QLMs which are based on loss
probability measurements; Expected Transmission Count (ETX), Minimum Delay
(MD), Minimum Loss (ML) in Static Wireless Multi-hop Networks (SWMhNs). A novel
contribution of this paper is enhancement in conventional OLSR to achieve high
efficiency in terms of optimized routing load and routing latency. For this
purpose, first we present a mathematical framework, and then to validate this
frame work, we select three performance parameters to simulate default and
enhanced versions of OLSR. Three chosen performance parameters are; throughput,
Normalized Routing Load and End-to-End Delay. From simulation results, we
conclude that adjusting the frequencies of topological information exchange
results in high efficiency.


title: Surface plasmons in doped topological insulators

abstract:
  We investigate surface plasmons at a planar interface between a normal
dielectric and a topological insulator, where the Fermi-energy lies inside the
bulk gap of the topological insulator and gives rise to a two-dimensional
charge distribution of free Dirac electrons. We develop the methodology for the
calculation of plasmon dispersions, using the framework of classical
electrodynamics, with modified constituent equations due to Hall currents in
the topological insulator, together with a Lindhard-type description for the
two-dimensional charge distribution of free Dirac electrons. For a system
representative for Bi$_2$X$_3$ binary compounds, we find in agreement with
recent related work that the modified constituent equations have practically no
impact on the surface plasmon dispersion but lead to a rotation of the magnetic
polarization of surface plasmons out of the interface plane.


title: Hybridization-Driven Orthorhombic Lattice Instability in URu2Si2

abstract:
  We have measured the elastic constant (C11-C12)/2 in URu2Si2 by means of
high-frequency ultrasonic measurements in pulsed magnetic fields H || [001] up
to 61.8 T in a wide temperature range from 1.5 to 116 K. We found a reduction
of (C11-C12)/2 that appears only in the temperature and magnetic field region
in which URu2Si2 exhibits a heavy-electron state and hidden-order. This change
in (C11-C12)/2 appears to be a response of the 5f-electrons to an orthorhombic
and volume conservative strain field \epsilon_xx-\epsilon_yy with
{\Gamma}3-symmetry. This lattice instability is likely related to a
symmetry-breaking band instability that arises due to the hybridization of the
localized f electrons with the conduction electrons, and is probably linked to
the hidden-order parameter of this compound.


title: Deterministic Random Walks for Rapidly Mixing Chains

abstract:
  The rotor-router model is a deterministic process analogous to a simple
random walk on a graph. This paper is concerned with a generalized model,
functional-router model, which imitates a Markov chain possibly containing
irrational transition probabilities. We investigate the discrepancy of the
number of tokens at a single vertex between the functional-router model and its
corresponding Markov chain, and give an upper bound in terms of the mixing time
of the Markov chain.


title: On a theorem of Littlewood

abstract:
  In 1927 Littlewood constructed an example of bounded holomorphic function on
the unit disk, which diverges almost everywhere along rotated copies of any
given curve in the unit disk ending tangentially to the boundary. This theorem
was the complement of a positive theorem of Fatou 1906, establishing almost
everywhere nontangential convergence of bounded holomorphic functions. There
are several generalizations of the Littlewood's theorem which proofs are based
on the specific properties of Poisson kernel. We generalize Littlewood's
theorem for operators having general kernels.


title: Decays of Z Boson into Pseudoscalar Meson Pair of Different Flavours

abstract:
  We analyse the process Z-zero to M1 M2, where M1 and M2 are pseudoscalar
mesons with quark contents of q1 q-bar and q-bar q2 respectively. At the quark
level, the process-zero to q1 q2-bar, where q1 and q2 are quarks of different
flavours, receives contribution only from the Z-penguin. In order to fold the
quark-level process to the hadronic process, we make the fundamental assumption
that the vertex of type M q q-bar can be approximated by an effective constant
gamma 5 coupling. With this assumption, estimates are obtained for the
cross-sections for the following processes: Z-zero to K-minus pi-plus, Z-zero
to B-minus K-plus.


title: A dynamical point of view on the set of B-free integers

abstract:
  We extend the study of the square-free flow, recently introduced by Sarnak,
to the more general context of B-free integers, that is to say integers with no
factor in a given family B of pairwise relatively prime integers, the sum of
whose reciprocals is finite. Relying on dynamical arguments, we prove in
particular that the distribution of patterns in the characteristic function of
the B-free integers follows a shift-invariant probability measure, and gives
rise to a measurable dynamical system isomorphic to a specific minimal rotation
on a compact group. As a by-product, we get the abundance of twin B-free
integers. Moreover, we show that the distribution of patterns in small
intervals also conforms to the same measure. When elements of B are squares, we
introduce a generalization of the M\"obius function, and discuss a conjecture
of Chowla in this broader context.


title:
Easy estimation by a new parameterization for the three-parameter
  lognormal distribution

abstract:
  A new parameterization and algorithm are proposed for seeking the primary
relative maximum of the likelihood function in the three-parameter lognormal
distribution. The parameterization yields the dimension reduction of the
three-parameter estimation problem to a two-parameter estimation problem on the
basis of an extended lognormal distribution. The algorithm provides the way of
seeking the profile of an object function in the two-parameter estimation
problem. It is simple and numerically stable because it is constructed on the
basis of the bisection method. The profile clearly and easily shows whether a
primary relative maximum exists or not, and also gives a primary relative
maximum certainly if it exists.


title: Determination of the axial nucleon form factor from the MiniBooNE data

abstract:
  Both neutrino and antineutrino charged-current quasi-elastic scattering on a
carbon target are studied to investigate the nuclear effect on the
determination of the axial form factor F_A(Q^2). A method for extraction of
  F_A(Q^2) from the flux-integrated $d\sigma/dQ^2$ cross section of
(anti)neutrino scattering on nuclei is presented. Data from the MiniBooNE
experiment are analyzed in the relativistic distorted-wave impulse
approximation, Fermi gas model, and in the Fermi gas model with enhancements in
the transverse cross section. We found that the values of the axial form
factor, extracted in the impulse approximation and predicted by the dipole
approximation with the axial mass M_A~1.37 GeV are in good agreement. On the
other hand, the Q^2-dependence of F_A extracted in the approach with the
transverse enhancement is found to differ significantly from the dipole
approximation.


title:
Deterministic Bayesian Information Fusion and the Analysis of its
  Performance

abstract:
  This paper develops a mathematical and computational framework for analyzing
the expected performance of Bayesian data fusion, or joint statistical
inference, within a sensor network. We use variational techniques to obtain the
posterior expectation as the optimal fusion rule under a deterministic
constraint and a quadratic cost, and study the smoothness and other properties
of its classification performance. For a certain class of fusion problems, we
prove that this fusion rule is also optimal in a much wider sense and satisfies
strong asymptotic convergence results. We show how these results apply to a
variety of examples with Gaussian, exponential and other statistics, and
discuss computational methods for determining the fusion system's performance
in more general, large-scale problems. These results are motivated by studying
the performance of fusing multi-modal radar and acoustic sensors for detecting
explosive substances, but have broad applicability to other Bayesian decision
problems.


title: Holomorphic Lagrangian branes correspond to perverse sheaves

abstract:
  Let X be a compact complex manifold, $D_c^b(X)$ be the bounded derived
category of constructible sheaves on $X$, and $Fuk(T^*X)$ be the Fukaya
category of $T^*X$. A Lagrangian brane in $Fuk(T^*X)$ is holomorphic if the
underlying Lagrangian submanifold is complex analytic in $T^*X_{\mathbb{C}}$,
the holomorphic cotangent bundle of $X$. We prove that under the
quasi-equivalence between $D^b_c(X)$ and $DFuk(T^*X)$ established in [NaZa09]
and [Nad09], holomorphic Lagrangian branes with appropriate grading correspond
to perverse sheaves.


title:
Broad spectral line and continuum variabilities in QSO spectra induced
  by microlensing of diffusive massive substructure

abstract:
  We investigate the variability of the continuum and broad lines in QSO
spectra (particularly in the H$\beta$ line and continuum at $\lambda$ 5100 \AA
) caused by microlensing of a diffuse massive structure (like an open star
cluster). We modeled the continuum and line emitting region and simulate a
lensing event by a star cluster located in an intervening galaxy. Such a type
of microlensing event can have a significant influence on magnification and
centroid shift of the broad lines and continuum source. We explore
relationships between the continuum and broad line flux variability during the
microlensing event.


title: Rheology near jamming - the influence of lubrication forces

abstract:
  We study, by computer simulations, the role of different dissipation forces
on the rheological properties of highly-dense particle-laden flows. In
particular, we are interested in the close-packing limit (jamming) and the
question if "universal" observables can be identified that do not depend on the
details of the dissipation model. To this end, we define a simplified
lubrication force and systematically vary the range $h_c$ of this interaction.
For fixed $h_c$ a cross-over is seen from a Newtonian flow regime at small
strain rates to inertia-dominated flow at larger strain rates. The same
cross-over is observed as a function of the lubrication range $h_c$. At the
same time, but only at high densities close to jamming, particle velocity as
well as local density distributions are unaffected by changes in the
lubrication range -- they are candidates for "universal" behavior. At densities
away from jamming, this universality is lost: short-range lubrication forces
lead to pronounced particle clustering, while longer-ranged lubrication does
not. These findings highlight the importance of "geometric" packing constraints
for particle motion -- independent of the specific dissipation model. With the
free volume vanishing at random-close packing, particle motion is more and more
constrained by the ever smaller amount of free space. On the other side,
macroscopic rheological observables, as well as higher-order correlation
functions retain the variability of the underlying dissipation model.


title: Towards the continuum limit in transport coefficient computations

abstract:
  The analytic continuation needed for the extraction of transport coefficients
necessitates in principle a continuous function of the Euclidean time variable.
We report on progress towards achieving the continuum limit for 2-point
correlator measurements in thermal SU(3) gauge theory, with specific attention
paid to scale setting. In particular, we improve upon the determination of the
critical lattice coupling and the critical temperature of pure SU(3) gauge
theory, estimating r0*Tc ~ 0.7470(7) after a continuum extrapolation. As an
application the determination of the heavy quark momentum diffusion coefficient
from a correlator of colour-electric fields attached to a Polyakov loop is
discussed.


title: A LIDAR system for the H.E.S.S. experiment

abstract:
  The H.E.S.S. experiment in Namibia, Africa, is designed to study the origin
of high energy cosmic rays from 100 Gev to few tens of TeV, using the Cherenkov
technique. To minimize the systematic errors on the derived fluxes of the
measured sources, one has to calculate the impact of the atmospheric
properties, namely the extinction parameter a. A LIDAR can provide this kind of
information within the detectable energy range of the experiment. In this paper
we report on the hardware components, operation and data taking of such a
system installed on the HESS site for the last three years.


title:
Performance of the first prototype of the CALICE scintillator strip
  electromagnetic calorimeter

abstract:
  A first prototype of a scintillator strip-based electromagnetic calorimeter
was built, consisting of 26 layers of tungsten absorber plates interleaved with
planes of 45x10x3 mm3 plastic scintillator strips. Data were collected using a
positron test beam at DESY with momenta between 1 and 6 GeV/c. The prototype's
performance is presented in terms of the linearity and resolution of the energy
measurement. These results represent an important milestone in the development
of highly granular calorimeters using scintillator strip technology. This
technology is being developed for a future linear collider experiment, aiming
at the precise measurement of jet energies using particle flow techniques.


title: The Las Vergnas Polynomial for embedded graphs

abstract:
  The Las Vergnas polynomial is an extension of the Tutte polynomial to
cellularly embedded graphs. It was introduced by Michel Las Vergnas in 1978 as
special case of his Tutte polynomial of a morphism of matroids. While the
general Tutte polynomial of a morphism of matroids has a complete set of
deletion-contraction relations, its specialisation to cellularly embedded
graphs does not. Here we extend the Las Vergnas polynomial to graphs in
pseudo-surfaces. We show that in this setting we can define deletion and
contraction for embedded graphs consistently with the deletion and contraction
of the underlying matroid perspective, thus yielding a version of the Las
Vergnas polynomial with complete recursive definition. This also enables us to
obtain a deeper understanding of the relationships among the Las Vergnas
polynomial, the Bollobas-Riordan polynomial, and the Krushkal polynomial. We
also take this opportunity to extend some of Las Vergnas' results on Eulerian
circuits from graphs in surfaces of low genus to surfaces of arbitrary genus.


title: XYZ States

abstract:
  In the past decade, many new charmonium (or charmonium-like) and bottomonium
(or bottomonium-like) states were observed experimentally. I will review these
XYZ states which do not fit into the quark model spectrum easily.


title: Modeling systemic risks in financial markets

abstract:
  We survey systemic risks to financial markets and present a high-level
description of an algorithm that measures systemic risk in terms of coupled
networks.


title:
On risk bounds in isotonic and other shape restricted regression
  problems

abstract:
  We consider the problem of estimating an unknown $\theta\in {\mathbb{R}}^n$
from noisy observations under the constraint that $\theta$ belongs to certain
convex polyhedral cones in ${\mathbb{R}}^n$. Under this setting, we prove
bounds for the risk of the least squares estimator (LSE). The obtained risk
bound behaves differently depending on the true sequence $\theta$ which
highlights the adaptive behavior of $\theta$. As special cases of our general
result, we derive risk bounds for the LSE in univariate isotonic and convex
regression. We study the risk bound in isotonic regression in greater detail:
we show that the isotonic LSE converges at a whole range of rates from $\log
n/n$ (when $\theta$ is constant) to $n^{-2/3}$ (when $\theta$ is uniformly
increasing in a certain sense). We argue that the bound presents a benchmark
for the risk of any estimator in isotonic regression by proving nonasymptotic
local minimax lower bounds. We prove an analogue of our bound for model
misspecification where the true $\theta$ is not necessarily nondecreasing.


title: Splitting schemes for poroelasticity and thermoelasticity problems

abstract:
  In this work, we consider the coupled systems of linear unsteady partial
differential equations, which arise in the modeling of poroelasticity
processes. Stability estimates of weighted difference schemes for the coupled
system of equations are presented. Approximation in space is based on the
finite element method. We construct splitting schemes and give some numerical
comparisons for typical poroelasticity problems. The results of numerical
simulation of a 3D problem are presented. Special attention is given to using
hight performance computing systems.


title:
A Sino-German 6cm polarisation survey of the Galactic plane - VIII.
  Small-diameter sources

abstract:
  Information of small-diameter sources is extracted from the Sino-German 6cm
polarisation survey of the Galactic plane carried out with the Urumqi 25-m
telescope. We performed two-dimensional elliptical Gaussian fits to the 6cm
maps to obtain a list of sources with total-intensity and polarised flux
densities. The source list contains 3832 sources with a fitted diameter smaller
than 16 arcmin and a peak flux density exceeding 30 mJy, so about 5 times the
rms noise, of the total-intensity data. The cumulative source count indicates
completeness for flux densities exceeding about 60 mJy. We identify 125
linearly polarised sources at 6cm with a peak polarisation flux density greater
than 10 mJy, so about 3 times the rms noise, of the polarised-intensity data.
Despite lacking compact steep spectrum sources, the 6cm catalogue lists about
20 percent more sources than the Effelsberg 21cm source catalogue at the same
angular resolution and for the same area. Most of the faint 6cm sources must
have a flat spectrum and are either HII regions or extragalactic. When compared
with the Green Bank 6cm (GB6) catalogue, we obtain higher flux densities for a
number of extended sources with complex structures. Polarised 6cm sources
density are uniformly distributed in Galactic latitude. Their number density
decreases towards the inner Galaxy. More than 80 percent of the polarised
sources are most likely extragalactic. With a few exceptions, the sources have
a higher percentage polarisation at 6cm than at 21cm. Depolarisation seems to
occur mostly within the sources with a minor contribution from the Galactic
foreground emission.


title:
Non-Local means est un algorithme de d\'ebruitage local (Non-Local means
  is a local image denoising algorithm)

abstract:
  The Non-Local Means (NLM) image denoising algorithm pushed the limits of
denoising. But it introduced a new paradigm, according to which one could
capture the similarity of images with the NLM weights. We show that, contrary
to the prevailing opinion, the NLM weights do not allow to get a reliable
measure of the similarity in a noisy image, unless one add a locality
constraint. As an image denoising method, the Non-Local Means prove to be
local. Some works had already pointed out that to get the best denoising
performances with the NLM algorithm, one should run it locally. But no general
conclusion has been yet proposed and the only explanation that was proposed to
justify the experimental results is not sufficient. Our study based on
experimental evidence proves that, on average on natural images, the bias of
the NLM estimator is an increasing function of the radius of the similarity
searching zone. The reason for this phenomenon is that noise disrupts the order
of similarity between patches. Hence the mean squared error between the
original image and the NLM estimation, which is the sum of the bias, the
variance and the covariance of the estimator, has an absolute minimum for a
disk of radius 3 to 4 pixels.


title: When 2D is not enough, go for an extra dimension

abstract:
  The use of an extra SDS separation in a different buffer system provide a
technique for deconvoluting 2D gel spots made of several proteins (Colignon et
al. Proteomics, 2013, 13, 2077-2082). This technique keeps the quantitative
analysis of the protein amounts and combines it with a strongly improved
identification process by mass spectrometry, removing identification
ambiguities in most cases. In some favorable cases, posttranslational variants
can be separated by this procedure. This versatile and easy to use technique is
anticipated to be a very valuable addition to the toolbox used in 2D gel-based
proteomics.


title:
Multidimensional separation prior to mass spectrometry: Getting closer
  to the bottom of the iceberg

abstract:
  While prefractionation has previously been shown to improve results in MS
analysis, a novel combination provides an additional dimension of separation:
protein fractionation by SDS-PAGE followed by IEF of tryptic peptides before
separation by RP-LC [Atanassov and Urlaub, Proteomics 2013, 13, 2947-2955].
This three-step separation procedure prior to MS/MS substantially increases
proteome coverage and represents a further step toward a more comprehensive
analysis of complex proteomes.


title: Polarization of the nuclear surface in deformed nuclei

abstract:
  The density profiles of around 750 nuclei are analyzed using the Skyrme
energy density functional theory. Among them, more than 350 nuclei are found to
be deformed. In addition to rather standard properties of the density, we
report a non-trivial behavior of the nuclear diffuseness as the system becomes
more and more deformed. Besides the geometric effects expected in rigid body,
the diffuseness acquires a rather complex behavior leading to a reduction of
the diffuseness along the main axis of deformation simultaneously with an
increase of the diffuseness along the other axis. The possible isospin
dependence of this polarization is studied. This effect, that is systematically
seen in medium- and heavy-nuclei, can affect the nuclear dynamical properties.
A quantitative example is given with the fusion barrier in the $^{40}$Ca+
$^{238}$U reaction.


title:
Impact of system state dynamics on PMU placement in the electric power
  grid

abstract:
  The goal of this paper is to study the impact of the dynamic nature of bus
voltage magnitudes and phase angles, which constitute the state of the power
system, on the phasor measurement unit (PMU) placement problem. To facilitate
this study, the placement problem is addressed from the perspective of the
electrical structure which, unlike existing work on PMU placement, accounts for
the sensitivity between power injections and nodal phase angle differences
between various buses in the power network. A linear dynamic model captures the
time evolution of system states, and a simple procedure is devised to estimate
the state transition function at each time instant. The placement problem is
formulated as a series (time steps) of binary integer programs, with the goal
to obtain the minimum number of PMUs at each time step for complete network
observability in the absence of zero injection measurements. Experiments are
conducted on several standard IEEE test bus systems. The main thesis of this
study is that, owing to the dynamic nature of the system states, for optimal
power system operation the best one could do is to install a PMU on each bus of
the given network, though it is undesirable from an economic standpoint.


title: Non-Convex Compressed Sensing Using Partial Support Information

abstract:
  In this paper we address the recovery conditions of weighted $\ell_p$
minimization for signal reconstruction from compressed sensing measurements
when partial support information is available. We show that weighted $\ell_p$
minimization with $0<p<1$ is stable and robust under weaker sufficient
conditions compared to weighted $\ell_1$ minimization. Moreover, the sufficient
recovery conditions of weighted $\ell_p$ are weaker than those of regular
$\ell_p$ minimization if at least $50%$ of the support estimate is accurate. We
also review some algorithms which exist to solve the non-convex $\ell_p$
problem and illustrate our results with numerical experiments.


title: Decay dynamics in a strongly driven atom-molecule coupled system

abstract:
  Within the framework of master equation, we study decay dynamics of an
atom-molecule system strongly coupled by two photoassociation lasers. Summing
over the infinite number of electromagnetic vacuum modes that are coupled to
the laser-dressed atom-molecule system, we obtain an integro-differential
master equation for the the system's reduced density matrix. The equation is
numerically solved to describe system dynamics in the presence of decay. In
particular, we discuss correlated spontaneous emission from a pair of
electronically excited diatomic ro-vibrational states due to their laser
induced coupling to the ground continuum of atomic scattering states. This
allows us to calculate time-dependence of emitted radiation intensity. It
exhibits quantum beats due to coherent dynamics. The phase difference between
the two driving fields is found to significantly affect the decay dynamics and
the beats. Our results demonstrate the possibility to control decay from the
molecular excited states and the decoherence between them by changing the
relative intensity and the phase between the lasers. We further show that, if
the ground-state continuum has a shape resonance at a low energy, then the
quantum beats show two distinctive time scales of oscillations in the strong
coupling regime. One of the time scales originates from the energy gap between
the two excited states while the other time scale corresponds to the collision
energy at which free-bound Franck-Condon overlap is resonantly peaked due to
the shape resonance.


title: Pure Collective Precession Motion of High-Spin Torus Isomer

abstract:
  We investigate the precession motion of the exotic torus configuration in
high-spin excited states of $^{40}$Ca. For this aim, we use the
three-dimensional time-dependent Hartree-Fock (TDHF) method. Although the
high-spin torus isomer is a unique quantum object characterized by the
alignment of angular momenta of independent single-particle motions, we find
that the obtained moment of inertia for rotations about an axis perpendicular
to the symmetry axis is close to the rigid-body value. We also analyze the
microscopic structure of the precession motion using the random-phase
approximation (RPA) method for high-spin states. In the RPA calculation, the
precession motion of the torus isomer is generated by coherent superposition of
many one-particle-one-hole excitations across the sloping Fermi surface that
strongly violates the time-reversal symmetry. By comparing results of the TDHF
and the RPA calculations, we find that the precession motion obtained by the
TDHF calculation is a pure collective motion well decoupled from other
collective modes.


title: Phase transitions for random geometric preferential attachment graphs

abstract:
  We study an evolving spatial network in which sequentially arriving vertices
are joined to existing vertices at random according to a rule that combines
preference according to degree with preference according to spatial proximity.
We investigate phase transitions in graph structure as the relative weighting
of these two components of the attachment rule is varied.
  Previous work of one of the authors showed that when the geometric component
is weak, the limiting degree sequence of the resulting graph coincides with
that of the standard Barab\'asi--Albert preferential attachment model. We show
that at the other extreme, in the case of a sufficiently strong geometric
component, the limiting degree sequence coincides with that of a purely
geometric model, the on-line nearest-neighbour graph, which is of interest in
its own right and for which we prove some extensions of known results. We also
show the presence of an intermediate regime, in which the behaviour differs
significantly from both the on-line nearest-neighbour graph and the
Barab\'asi--Albert model; in this regime, we obtain a stretched exponential
upper bound on the degree sequence.
  Our results lend some mathematical support to simulation studies of Manna and
Sen, while proving that the power law to stretched exponential phase transition
occurs at a different point from the one conjectured by those authors.


title:
A model study on atom-atom interactions with large scattering length in
  quasi-two dimensional traps

abstract:
  We carry out a model study on two-atom interactions and bound states in
quasi-two dimensional traps. The interactions are modeled by two-parameter
potentials with parameters being the range $r_0$ and the $s$-wave scattering
length $a_s$. We show that one can make use of two forms of finite-range model
potentials, one for $a_s > 0$ and the other for $a_s < 0$. Both potentials
reduce to same form in the limits $a_s \rightarrow \pm \infty $. We investigate
into the dependence of the binding energies and the wave functions of two-atom
trap-bound states on $a_s$ and $r_0$. In particular, we study the effects of
$a_s$ ranging from large negative to large positive values on the bound state
properties. Our results show that long-range interactions with infinite
scattering length significantly alter the ground-state energy of the two atoms
in a quasi-two or two dimensional trap. In contrast, short-range interactions
can not significantly change the ground-state energy of two atoms in a 2D
harmonic trap.


title: Twisted reduction in large N QCD with adjoint Wilson fermions

abstract:
  The twisted space-time reduced model of large $N$ QCD with various flavours
of adjoint Wilson fermions is constructed applying the symmetric twist boundary
conditions with flux $k$. The models with one and two flavours show distinctive
behaviours. For the two flavor case, the string tension, calculated at $N=289$,
approaches zero as we decrease the quark mass in a way consistent with the
theory being governed by an infrared fixed point. In contrast, the string
tension for the case of a single adjoint Wilson fermion remains finite as the
quark mass decreases to zero, supporting that this is a confining theory.


title: On Pole Placement and Invariant Subspaces

abstract:
  The classical eigenvalue assignment problem is revisited in this note. We
derive an analytic expression for pole placement which represents a slight
generalization of the celebrated Bass-Gura and Ackermann formulae, and also is
closely related to the modal procedure of Simon and Mitter.


title:
Performance of Irradiated Thin Edgeless N-on-P Planar Pixel Sensors for
  ATLAS Upgrades

abstract:
  In view of the LHC upgrade phases towards the High Luminosity LHC (HL-LHC),
the ATLAS experiment plans to upgrade the Inner Detector with an all-silicon
system. Because of its radiation hardness and cost effectiveness, the n-on-p
silicon technology is a promising candidate for a large area pixel detector.
The paper reports on the joint development, by LPNHE and FBK of novel n-on-p
edgeless planar pixel sensors, making use of the active trench concept for the
reduction of the dead area at the periphery of the device. After discussing the
sensor technology, a complete overview of the electrical characterization of
several irradiated samples will be discussed. Some comments about detector
modules being assembled will be made and eventually some plans will be
outlined.


title: Strong openness conjecture for plurisubharmonic functions

abstract:
  In this article, we give a proof of the strong openness conjecture for
plurisubharmonic functions posed by Demailly.


title:
Switching of the Magnetic Vortex Core in a Pac-man Disk using a Single
  Field-Pulse

abstract:
  We report on the switching of the magnetic vortex core in a Pac-man disk
using a magnetic field pulse, investigated via micromagnetic simulations. The
minimum core switching field is reduced by 72 % compared to that of a circular
disk with the same diameter and thickness. However, the core switches
irregularly with respect to both the field pulse amplitude and duration. This
irregularity is induced by magnetization oscillations which arise due to
excitation of the spin waves when the core annihilates. We show that the core
switching can be controlled with the assist magnetic field and by changing the
waveform.


title:
The Dynamical Fingerprint of Core Scouring in Massive Elliptical
  Galaxies

abstract:
  The most massive elliptical galaxies have low-density centers or cores that
differ dramatically from the high-density centers of less massive ellipticals
and bulges of disk galaxies. These cores have been interpreted as the result of
mergers of supermassive black hole binaries, which depopulate galaxy centers by
gravitationally slingshotting central stars toward large radii. Such binaries
naturally form in mergers of luminous galaxies. Here, we analyze the population
of central stellar orbits in 11 massive elliptical galaxies that we observed
with the integral field spectrograph SINFONI at the European Southern
Observatory Very Large Telescope. Our dynamical analysis is orbit-based and
includes the effects of a central black hole, the mass distribution of the
stars, and a dark matter halo. We show that the use of integral field
kinematics and the inclusion of dark matter is important to conclude upon the
distribution of stellar orbits in galaxy centers. Six of our galaxies are core
galaxies. In these six galaxies, but not in the galaxies without cores, we
detect a coherent lack of stars on radial orbits in the core region and a
uniform excess of radial orbits outside of it: when scaled by the core radius,
the radial profiles of the classical anisotropy parameter beta are nearly
identical in core galaxies. Moreover, they match quantitatively the predictions
of black hole binary simulations, providing the first convincing dynamical
evidence for core scouring in the most massive elliptical galaxies.


title:
Dilaton Chiral Perturbation Theory - Determining Mass and Decay Constant
  of Technidilaton on the Lattice

abstract:
  We propose a scale-invariant chiral perturbation theory of the
pseudo-Nambu-Goldstone bosons of the chiral symmetry (pion "pi") as well as the
scale symmetry (dilaton "phi") for the large N_f QCD. The resultant dilaton
mass M_phi reads M_phi^2= m_phi^2 + (3-gamma_m)(1+gamma_m)/4 (2 N_f
F_pi^2/F_phi^2) m_pi^2 + (chiral log corrections), where m_phi, m_pi, gamma_m,
F_pi and F_phi are the dilaton mass in the chiral limit, the pion mass, mass
anomalous dimension, decay constants of pi and phi, respectively. The chiral
extrapolation of the lattice data on M_phi^2 vs m_pi^2 plot then simultaneously
determines (m_phi, F_phi) of the technidilaton in the walking technicolor with
gamma_m =~1. The chiral logarithmic corrections are explicitly given.


title: Deterministic Primality Testing - understanding the AKS algorithm

abstract:
  Prime numbers play a very vital role in modern cryptography and especially
the difficulties involved in factoring numbers composed of product of two large
prime numbers have been put to use in many modern cryptographic designs. Thus,
the problem of distinguishing prime numbers from the rest is vital and
therefore there is a need to have efficient primality testing algorithms.
Although there had been many probabilistic algorithms for primality testing,
there wasn't a deterministic polynomial time algorithm until 2002 when Agrawal,
Kayal and Saxena came with an algorithm, popularly known as the AKS algorithm,
which could test whether a given number is prime or composite in polynomial
time. This project is an attempt at understanding the ingenious idea behind
this algorithm and the underlying principles of mathematics that is required to
study it. In fact, through out this project, one of the major objectives has
been to make it as much self contained as possible. Finally, the project
provides an implementation of the algorithm using Software for Algebra and
Geometry Experimentation (SAGE) and arrives at conclusions on how practical or
otherwise it is.


title:
Effects of Irradiation Temperature and Dose Rate on the Mechanical
  Properties of Self-Ion Implanted Fe and Fe-Cr Alloys

abstract:
  Pure Fe and model Fe-Cr alloys containing 5, 10 and 14%Cr were irradiated
with Fe+ ions at a maximum energy of 2MeV to the same dose of 0.6dpa at
temperatures of 300 C, 400 C and 500 C, and at dose rates corresponding to 6 x
10-4 dpa/s and 3 x 10-5 dpa/s. All materials exhibited an increase in hardness
after irradiation at 300 C. After irradiation at 400 C, hardening was observed
only in Fe-Cr alloys, and not in the pure Fe. After irradiation at 500 C, no
hardening was observed in any of the materials tested. For irradiations at both
300 C and 400 C, greater hardening was found in the Fe-Cr alloys irradiated at
the lower dose rate. Transmission electron microscopy and atom probe tomography
of Fe 5%Cr identified larger dislocation loop densities and sizes in the alloy
irradiated with the high dose rate and Cr precipitation in the alloy irradiated
with the low dose rate.


title: Cosmic structure, averaging and dark energy

abstract:
  These lecture notes review the theoretical problems associated with
coarse-graining the observed inhomogeneous structure of the universe at late
epochs, of describing average cosmic evolution in the presence of growing
inhomogeneity, and of relating average quantities to physical observables. In
particular, a detailed discussion of the timescape scenario is presented. In
this scenario, dark energy is realized as a misidentification of gravitational
energy gradients which result from gradients in the kinetic energy of expansion
of space, in the presence of density and spatial curvature gradients that grow
large with the growth of structure. The phenomenology and observational tests
of the timescape model are discussed in detail, with updated constraints from
Planck satellite data. In addition, recent results on the variation of the
Hubble expansion on < 100/h Mpc scales are discussed. The spherically averaged
Hubble law is significantly more uniform in the rest frame of the Local Group
of galaxies than in the conventional rest frame assumed for the Cosmic
Microwave Background. This unexpected result supports a fundamental revision of
the notion of the cosmic rest frame, consistent with the expectations of the
timescape scenario.


title:
Investigation of New Lead- free (1-x)BaTiO3-xBi(Mg1/2Zr1/2)O3 Solid
  Solution with Morphotropic Phase Boundary

abstract:
  We report here the structure and dielectric studies on a new lead free
(1-x)BaTiO3-xBi(Mg1/2Zr1/2)O3 solid solution to explore the morphotropic phase
boundary. The powder x-ray diffraction studies on (1-x)BaTiO3-xBi(Mg1/2Zr1/2)O3
solid solution suggests that structure is tetragonal (P4mm) for the composition
with x=0.05 and cubic for the composition with x=0.30 and 0.40. Morphotropic
phase boundary is observed in the composition range 0.10<x<0.30, where phase
coexistence is observed and composition dependence of room temperature
permittivity shows a peak. High temperature dielectric measurement for the
composition with x=0.20 exhibits diffuse phase transition having peak
temperature around ~ 396 K at 10 kHz. The diffuseness parameter ({\gamma}) was
obtained to be 1.68 for composition with x=0.20.


title:
A semidefinite programming hierarchy for packing problems in discrete
  geometry

abstract:
  Packing problems in discrete geometry can be modeled as finding independent
sets in infinite graphs where one is interested in independent sets which are
as large as possible. For finite graphs one popular way to compute upper bounds
for the maximal size of an independent set is to use Lasserre's semidefinite
programming hierarchy. We generalize this approach to infinite graphs. For this
we introduce topological packing graphs as an abstraction for infinite graphs
coming from packing problems in discrete geometry. We show that our hierarchy
converges to the independence number.


title: Aging dynamics in interacting many-body systems

abstract:
  Low-dimensional, complex systems are often characterized by logarithmically
slow dynamics. We study the generic motion of a labeled particle in an ensemble
of identical diffusing particles with hardcore interactions in a strongly
disordered, one-dimensional environment. Each particle in this single file is
trapped for a random waiting time $\tau$ with power law distribution
$\psi(\tau)\simeq\tau^{-1- \alpha}$, such that the $\tau$ values are
independent, local quantities for all particles. From scaling arguments and
simulations, we find that for the scale-free waiting time case $0<\alpha<1$,
the tracer particle dynamics is ultra-slow with a logarithmic mean square
displacement (MSD) $\langle x^2(t)\rangle\simeq(\log t)^{1/2}$. This extreme
slowing down compared to regular single file motion $\langle
x^2(t)\rangle\simeq t^{1/2}$ is due to the high likelihood that the labeled
particle keeps encountering strongly immobilized neighbors. For the case
$1<\alpha<2$ we observe the MSD scaling $\langle x^2(t)\rangle\simeq
t^{\gamma}$, where $\gamma<1/2$, while for $\alpha>2$ we recover Harris law
$\simeq t^{1/2}$.


title:
Modelling the stellar soft-photon energy density profile of globular
  clusters

abstract:
  Recent observations by the Fermi Large Area Telescope (LAT) and the High
Energy Stereoscopic System (H.E.S.S.) have revealed globular clusters (GC) to
be sources of high-energy (HE) and very-high-energy (VHE) gamma-rays. It has
been suggested that the presence of large numbers of millisecond pulsars (MSPs)
within these clusters may be either directly responsible for these gamma-ray
fluxes through emission of pulsed curvature radiation, or indirectly through
the injection of relativistic leptons into the cluster. These relativistic
particles are plausibly re-accelerated in shocks, created by the collision of
stellar winds, before interacting with the soft-photon radiation field set up
by the stellar population of the host cluster. Inverse Compton (IC) scattering
then produces gamma-radiation in the TeV band. In order to calculate the IC
spectrum, an accurate profile for the energy density of the soft-photon field
is required. We construct such a profile by deriving a radially-dependent
expression for the stellar energy density, and then solve it numerically. As a
next step, the average energy density values for three different regions of the
cluster (demarcated by its core, half-mass, and tidal radii) are determined,
which we consequently import into an existing radiation code to predict the TeV
gamma-ray spectrum. As an application, we consider the case of Terzan 5,
boasting a population of 34 radio MSPs, and compare our predicted spectrum with
that measured by H.E.S.S.


title:
Applying Remote Handling Attributes to the ITER Neutral Beam Cell
  Monorail Crane

abstract:
  The maintenance requirements for the equipment in the ITER Neutral Beam Cell
requires components to be lifted and transported within the cell by remote
means. To meet this requirement, the provision of an overhead crane with remote
handling capabilities has been initiated. The layout of the cell has driven the
design to consist of a monorail crane that travels on a branched monorail track
attached to the cell ceiling. This paper describes the principle design
constraints and how the remote handling attributes were applied to the concept
design of the monorail crane, concentrating on areas where novel design
solutions have been required and on the remote recovery requirements and
solutions.


title: Wave dispersion in the hybrid-Vlasov model: verification of Vlasiator

abstract:
  Vlasiator is a new hybrid-Vlasov plasma simulation code aimed at simulating
the entire magnetosphere of the Earth. The code treats ions (protons)
kinetically through Vlasov's equation in the six-dimensional phase space while
electrons are a massless charge-neutralizing fluid [M. Palmroth et al., Journal
of Atmospheric and Solar-Terrestrial Physics 99, 41 (2013); A. Sandroos et al.,
Parallel Computing 39, 306 (2013)]. For first global simulations of the
magnetosphere, it is critical to verify and validate the model by established
methods. Here, as part of the verification of Vlasiator, we characterize the
low-$\beta$ plasma wave modes described by this model and compare with the
solution computed by the Waves in Homogeneous, Anisotropic Multicomponent
Plasmas (WHAMP) code [K. R\"onnmark, Kiruna Geophysical Institute Reports 179
(1982)], using dispersion curves and surfaces produced with both programs. The
match between the two fundamentally different approaches is excellent in the
low-frequency, long wavelength range which is of interest in global
magnetospheric simulations. The left-hand and right-hand polarized wave modes
as well as the Bernstein modes in the Vlasiator simulations agree well with the
WHAMP solutions. Vlasiator allows a direct investigation of the importance of
the Hall term by including it in or excluding it from Ohm's law in simulations.
This is illustrated showing examples of waves obtained using the ideal Ohm's
law and Ohm's law including the Hall term. Our analysis emphasizes the role of
the Hall term in Ohm's law in obtaining wave modes departing from ideal
magnetohydrodynamics in the hybrid-Vlasov model.


title:
Electric-field-induced strain-mediated magnetoelectric effect in
  CoFeB-MgO magnetic tunnel junctions

abstract:
  Magnetoelectric coupling between magnetic and electric dipoles is one of the
cornerstones of modern physics towards developing the most energy-efficient
magnetic data storage. Conventionally, magnetoelectric coupling is achieved in
single-phase multiferroics or in magnetoelectric composite nanostructures
consisting of ferromagnetic and ferroelectric/piezoelectric materials. Here, we
demonstrate an electric-field-induced strain-mediated magnetoelectric effect in
ultrathin CoFeB/MgO magnetic tunnel junction employing non-piezoelectric
material, which is a vitally important structure for spintronic devices, by
using dynamical magnetoelectric and piezoresponse force microscopy measurement
techniques. We show that the applied electric-field induces strain in a few
atomic layers of dielectric MgO which is transferred to magnetostrictive CoFeB
layer, resulting in a magnetoelectric effect of magnitude up to 80.8 V cm-1
Oe-1 under -0.5 V. The demonstrated strain-mediated magnetoelectric effect with
an electric field in magnetic tunnel junctions is a significant step towards
exploring magnetoelectrically controlled spintronic devices for low-power and
high density magnetic data storage applications.


title: On Saito's normal crossing condition

abstract:
  Kyoji Saito defined a residue map from the logarithmic differential 1-forms
along a reduced complex analytic hypersurface to the meromorphic functions on
the hypersurface. He studied the condition that the image of this map coincides
with the weakly holomorphic functions, that is, with the functions on the
normalization. With Michel Granger, the author proved that this condition is
equivalent to the hypersurface being normal crossing in codimension one. In
this article, the condition is given a natural interpretation in terms of
regular differential forms beyond the hypersurface case. For reduced
equidimensional complex analytic spaces which are free in codimension one, the
geometric interpretation of being normal crossing in codimension one is shown
to persist.


title:
On $3$-gauge transformations, $3$-curvature and
  $\mathbf{Gray}$-categories

abstract:
  In the $3$-gauge theory, a $3$-connection is given by a $1$-form $A$ valued
in the Lie algebra $ \mathfrak g$, a $2$-form $B$ valued in the Lie algebra
$\mathfrak h $ and a $3$-form $C$ valued in the Lie algebra $ \mathfrak l $,
where $(\mathfrak g,\mathfrak h, \mathfrak l)$ constitutes a differential $
2$-crossed module. We give the $3$-gauge transformations from a $3$-connection
to another, and show the transformation formulae of the $1$-curvature $2$-form,
the $2$-curvature $3$-form and the $3$-curvature $4$-form. The gauge
configurations can be interpreted as smooth $\mathbf{Gray}$-functors between
two $\mathbf{Gray}$ $3$-groupoids: the path $3$-groupoid $\mathcal{P}_3(X)$ and
the $3$-gauge group $ \mathcal{G}^{\mathscr L}$ associated to the $ 2$-crossed
module $\mathscr L$, whose differential is $(\mathfrak g,\mathfrak h, \mathfrak
l)$. The derivatives of $\mathbf{Gray}$-functors are $3$-connections, and the
derivatives of lax-natural transformations between two such
$\mathbf{Gray}$-functors are $3$-gauge transformations. We give the
$3$-dimensional holonomy, the lattice version of the $3$-curvature, whose
derivative gives the $3$-curvature $4$-form. The covariance of $3$-curvatures
easily follows from this construction. This $\mathbf{ Gray}$-categorical
construction explains why $3$-gauge transformations and $3$-curvatures have the
given forms. The interchanging $3$-arrows are responsible for the appearance of
terms concerning the Peiffer commutator $\{,\}$.


title:
Fast Polarization Switching Demonstration Using Crossed-Planar Undulator
  in a Seeded Free Electron Laser

abstract:
  Fast polarization switching of light sources is required over a wide spectral
range to investigate the symmetry of matter. In this Letter, we report the
first experimental demonstration of the crossed-planar undulator technique at a
seeded free-electron laser, which holds great promise for the full control and
fast switching of the polarization of short-wavelength radiation. In the
experiment, the polarization state of the coherent radiation at the 2nd
harmonic of the seed laser is switched successfully. The experiment results
confirm the theory, and pave the way for applying the crossed-planar undulator
technique for the seeded X-ray free electron lasers.


title:
Integrating Inspection and Test Processes Based on Context-Specific
  Assumptions

abstract:
  Inspections and testing are two of the most commonly performed software
quality assurance processes today. Typically, these processes are applied in
isolation, which, however, fails to exploit the benefits of systematically
combining and integrating them. In consequence, tests are not focused based on
early defect detection data. Expected benefits of such process integration
include higher defect detection rates or reduced quality assurance effort.
Moreover, when conducting testing without any prior information regarding the
system's quality, it is often unclear how to focus testing. A systematic
integration of inspection and testing processes requires context-specific
knowledge about the relationships between inspections and testing. This
knowledge is typically not available and needs to be empirically identified and
validated. Often, context-specific assumptions can be seen as a starting point
for generating such knowledge. Based on the In2Test approach, which uses
inspection data to focus testing, we present in this article how knowledge
about the relationship between inspections and testing can be gained,
documented, and evolved in an analytical or empirical manner. In addition, this
article gives an overview of related work and highlights future research
directions.


title: Declining trends of healthy life years expectancy (HLYE) in Europe

abstract:
  We examine the trends in Healthy Life Years Expectancy (HLYE) at birth during
the past few decades in Europe. We observe that several European countries show
a significant drop in HLYE at birth starting from 2003; interrupting what had
been a previous continuous increase. We discuss the possible causes of this
drop, including a possible correlation with climate change in terms of the heat
wave experienced in Europe in 2003. It is not possible, at present, to propose
a single explanation for this phenomenon, however the trend is worrisome and
its causes should be investigated further.


title: Structural Weights in Ontology Matching

abstract:
  Ontology matching finds correspondences between similar entities of different
ontologies. Two ontologies may be similar in some aspects such as structure,
semantic etc. Most ontology matching systems integrate multiple matchers to
extract all the similarities that two ontologies may have. Thus, we face a
major problem to aggregate different similarities. Some matching systems use
experimental weights for aggregation of similarities among different matchers
while others use machine learning approaches and optimization algorithms to
find optimal weights to assign to different matchers. However, both approaches
have their own deficiencies. In this paper, we will point out the problems and
shortcomings of current similarity aggregation strategies. Then, we propose a
new strategy, which enables us to utilize the structural information of
ontologies to get weights of matchers, for the similarity aggregation task. For
achieving this goal, we create a new Ontology Matching system which it uses
three available matchers, namely GMO, ISub and VDoc. We have tested our
similarity aggregation strategy on the OAEI 2012 data set. Experimental results
show significant improvements in accuracies of several cases, especially in
matching the classes of ontologies. We will compare the performance of our
similarity aggregation strategy with other well-known strategies


title:
Absence of Tetragonal Distortion in (1-x)SrTiO3-xBi(Zn1/2Ti1/2)O3 Solid
  Solution

abstract:
  We have carried out powder x-ray diffraction and dielectric studies on the
lead free solid solution (1-x)SrTiO3-xBi(Zn1/2Ti1/2)O3 ((1-x)ST-xBZT) with
x=0.05, 0.10, 0.15, 0.20, 0.30 and 0.50 to explore the ferroelectric and
piezoelectric properties. Analysis of the powder x-ray diffraction data reveals
the cubic structure (space group Pm3m) of (1-x)ST-xBZT for the composition with
x < 0.20, at room temperature as well as at low temperature. Highly tetragonal
BZT fails to introduce any tetragonality when alloyed with ST. The solid
solubility is limited to x< 0.20 and for higher BZT concentrations impurity
phases start appearing. The ferroelectric and dielectric characterization of
(1- x)ST-xBZT solid solution shows that all the compositions are paraelectric.
The implications of the absence of tetragonal distortion in (1-x)ST-xBZT solid
solution is discussed in connection with recently investigated other solid
solutions based on BZT.


title: Enhancing optomechanical coupling via the Josephson effect

abstract:
  Cavity optomechanics is showing promise for studying quantum mechanics in
large systems. However, smallness of the radiation-pressure coupling is a
serious hindrance. Here we show how the charge tuning of the Josephson
inductance in a single-Cooper-pair transistor (SCPT) can be exploited to
arrange a strong radiation pressure -type coupling $g_0$ between mechanical and
microwave resonators. In a certain limit of parameters, such a coupling can
also be seen as a qubit-mediated coupling of two resonators. We show that this
scheme allows reaching extremely high $g_0$. Contrary to the recent proposals
for exploiting the non-linearity of a large radiation pressure coupling, the
main non-linearity in this setup originates from a cross-Kerr type of coupling
between the resonators, where the cavity refractive index depends on the phonon
number. The presence of this coupling will allow accessing the individual
phonon numbers via the measurement of the cavity.


title:
Removal of GaAs growth substrates from II-VI semiconductor
  heterostructures

abstract:
  We report on a process that enables the removal of II-VI semiconductor
epilayers from their GaAs growth substrate and their subsequent transfer to
arbitrary host environments. The technique combines mechanical lapping and
layer selective chemical wet etching and is generally applicable to any II-VI
layer stack. We demonstrate the non-invasiveness of the method by transferring
an all-II-VI magnetic resonant tunneling diode. High resolution X-ray
diffraction proves that the crystal integrity of the heterostructure is
preserved. Transport characterization confirms that the functionality of the
device is maintained and even improved, which is ascribed to completely elastic
strain relaxation of the tunnel barrier layer.


title: On the boundary as an $x$-geodominating set in graphs

abstract:
  Given a graph $G$ and a vertex $x\in V(G)$, a vertex set $S \subseteq V(G)$
is an $x$-geodominating set of $G$ if each vertex $v\in V(G)$ lies on an $x-y$
geodesic for some element $y\in S$. The minimum cardinality of an
$x$-geodominating set of $G$ is defined as the $x$-geodomination number of $G$,
$g_x(G)$, and an $x$-geodominating set of cardinality $g_x(G)$ is called a
$g_x$-set and it is known that it is unique for each vertex $x$. We prove that,
in any graph $G$, the $g_x$-set associated to a vertex $x$ is the set of
boundary vertices of $x$, that is $\partial(x)= \{v \in V(G) : \forall w \in
N(v): d(x,w) \leq d(u, v)\}$. This characterization of $g_x$-sets allows to
deduce, on a easy way, different properties of these sets and also to compute
both $g_x$-sets and $x$-geodomination number $g_x(G)$, in graphs obtained using
different graphs products: cartesian, strong and lexicographic.


title:
Flatness For Linear Fractional Systems With Application to a Thermal
  System

abstract:
  This paper is devoted to the study of the flatness property of linear
time-invariant fractional systems. In the framework of polynomial matrices of
the fractional derivative operator, we give a characterization of fractionally
flat outputs and a simple algorithm to compute them. We also obtain a
characterization of the so-called fractionnally $0$-flat outputs. We then
present an application to a two dimensional heated metallic sheet, whose
dynamics may be approximated by a fractional model of order 1/2. The trajectory
planning of the temperature at a given point of the metallic sheet is obtained
thanks to the fractional flatness property, without integrating the system
equations. The pertinence of this approach is discussed on simulations.


title:
Measuring dependence in metric abstract elementary classes with
  perturbations

abstract:
  We define and study a metric independence notion in a homogeneous metric
abstract elementary class with perturbations that is $d^p$-superstable
(superstable wrt. the perturbation topology), weakly simple and has complete
type spaces and we give a new example of such a class based on B. Zilber's
approximations of Weyl algebras. We introduce a way to measure the dependence
of a tuple $a$ from a set $B$ over another set $A$. We prove basic properties
of the notion, e.g. that $a$ is independent of $B$ over $A$ in the usual sense
of homogeneous model theory if and only if the measure of dependence is
$<\varepsilon$ for all $\varepsilon >0$. As an example of our measure of
dependence we show a connection between the measure and entropy in models from
quantum mechanics in which the spectrum of the observable is discrete. As an
application, we show that weak simplicity implies a very strong form of
simplicity and study the question of when the dependence inside a set of all
realisations of some type can be seen to arise from a pregeometry in cases when
the type is not regular. In the end of the paper, we demonstrate our notions
and results in one more example: a class built from the $p$-adic integers.


title: Status of ITER neutral beam cell remote handling system

abstract:
  The ITER neutral beam cell will contain up to three heating neutral beams and
one diagnostic neutral beam, and four upper ports. Though manual maintenance
work is envisaged within the cell, when containment is breached, or the
radiological protection is removed the maintenance must be conducted remotely.
This maintenance constitutes the removal and replacement of line replaceable
units, and their transport to and from a cask docked to the cell. A design of
the remote handling system has been prepared to concept level which this paper
describes including the development of a beam line transporter, beam source
remote handling equipment, upper port remote handling equipment and equipment
for the maintenance of the neutral shield. This equipment has been developed
complete the planned maintenance tasks for the components of the neutral beam
cell and to have inherent flexibility to enable as yet unforeseen tasks and
recovery operations to be performed.


title:
Periodicity Extraction using Superposition of Distance Matching Function
  and One-dimensional Haar Wavelet Transform

abstract:
  Periodicity of a texture is one of the important visual characteristics and
is often used as a measure for textural discrimination at the structural level.
Knowledge about periodicity of a texture is very essential in the field of
texture synthesis and texture compression and also in the design of frieze and
wall papers. In this paper, we propose a method of periodicity extraction from
noisy images based on superposition of distance matching function (DMF) and
wavelet decomposition without de-noising the test images. Overall DMFs are
subjected to single-level Haar wavelet decomposition to obtain approximate and
detailed coefficients. Extracted coefficients help in determination of
periodicities in row and column directions. We illustrate the usefulness and
the effectiveness of the proposed method in a texture synthesis application.


title: Spectroscopy of High Energy BL Lac Objects with X-shooter on the VLT

abstract:
  Context. The study of BL Lac objects (BLL) detected in gamma-rays gives
insights on the acceleration mechanisms in play in such systems and is also a
valuable tool to constrain the density of the extragalactic background light.
As their spectra are dominated by the non-thermal emission of the jet and the
spectral features are weak and narrow in the optical domain, measuring their
redshift is challenging. However such a measure is fundamental as it allows a
firm determination of the distance and luminosity of the source, and therefore
a consistent model of its emission. Aims. Measurement of the redshift of BLL
detected in gamma-rays and determination of global properties of their host
galaxies. Methods. We observed a sample of eight BLL (KUV 00311-1938, PKS
0447-439, PKS 0301-243, BZB J0238-3116, BZB J0543-5532, BZB J0505+0415, BZB
J0816-1311 and RBS 334) with the X-shooter spectrograph installed at the ESO
Very Large Telescope in order to take advantage of its unprecedented wavelength
coverage and of its resolution about 5 times higher than generally used in such
studies. We extracted UVB to NIR spectra that we then corrected for telluric
absorption and calibrated in flux. We systematically searched for spectral
features. When possible, we determined the contribution of the host galaxy to
the overall emission. Results. Of the eight BLL, we measured the redshift of
five of them and determined lower limits for two through the detection of
intervening systems. All seven of these objects have redshifts greater than
0.2. In two cases, we refuted redshift values reported in other publications.
Through careful modelling, we determined the magnitude of the host galaxies. In
two cases, the detection of emission lines allowed to provide hints on the
overall properties of the gas in the host galaxies.


title: The multidimensional model of cluster radioactivity

abstract:
  The cluster decays $^{228}$Th $\rightarrow \, ^{208}$Pb + $^{20}$O, $^{232}$U
$\rightarrow \, ^{208}$Pb + $^{24}$Ne, $^{236}$Pu $\rightarrow \, ^{208}$Pb +
$^{28}$Mg, $^{242}$Cm $\rightarrow \, ^{208}$Pb + $^{34}$Si are considered in
the framework of the multidimensional cluster preformation model. The
macroscopic potential energy surface related to the interaction between the
cluster and the residue nucleus is evaluated in the framework of the nonlocal
$\hbar^4$ extended Thomas-Fermi approach with Skyrme and Coulomb forces. The
shell-correction to the macroscopic potential energy is also taken into
account. The dynamical surface deformations of both the cluster and the residue
nucleus are taken into consideration at the barrier penetration path. The
heights of saddle points related to deformed nuclear shapes are lower than the
barrier height between the spherical cluster and residue nuclei; therefore the
dynamical deformations of nuclei increase the barrier penetrability and reduce
the half-life of cluster decay. The shell correction contribution into the
potential energy between cluster and residue nucleus is important for both the
potential landscape and the half-life evaluation. The experimental values of
cluster decay half-lives are well reproduced in the model.


title: The mechanism of caesium intercalation of graphene

abstract:
  Properties of many layered materials, including copper- and iron-based
superconductors, topological insulators, graphite and epitaxial graphene can be
manipulated by inclusion of different atomic and molecular species between the
layers via a process known as intercalation. For example, intercalation in
graphite can lead to superconductivity and is crucial in the working cycle of
modern batteries and supercapacitors. Intercalation involves complex diffusion
processes along and across the layers, but the microscopic mechanisms and
dynamics of these processes are not well understood. Here we report on a novel
mechanism for intercalation and entrapment of alkali-atoms under epitaxial
graphene. We find that the intercalation is adjusted by the van der Waals
interaction, with the dynamics governed by defects anchored to graphene
wrinkles. Our findings are relevant for the future design and application of
graphene-based nano-structures. Similar mechanisms can also play a role for
intercalation of layered materials.


title:
Approximate Bayesian Solution for Estimating Population Size from
  Dual-record System

abstract:
  For Dual-record system, in the context of human population, the popular
Chandrasekar-Deming model incorporates only the time variation effect on
capture probabilities. How-ever, in practice population may undergo behavioral
change after being captured first time. In this paper we focus on the
Dual-record system model (equivalent to capture- recapture model with two
sampling occasions) with both the time as well as behavioral response
variation. The relevant model suffers from identifiability problem. Two
approaches are proposed from which approximate Bayes estimates can be obtained
using very simple Gibbs sampling strategies. We explore the features of our two
proposed methods and their usages depending on the availability (or
non-availability) of the information on the nature of behavioral response
effect. Extensive simulation studies are carried out to evaluate their
performances and compare with few available approaches. Finally, a real data
application is provided to the model and the methods.


title: On Generating Permutations Under User-Defined Constraints

abstract:
  In this paper, a method to generate permutations of a string under a set of
constraints decided by the user is presented. The required permutations are
generated without generating all the permutations.


title:
Alignment of cylindrical colloids near chemically patterned substrates
  induced by critical Casimir torques

abstract:
  Recent experiments have demonstrated a fluctuation-induced lateral trapping
of spherical colloidal particles immersed in a binary liquid mixture near its
critical demixing point and exposed to chemically patterned substrates.
Inspired by these experiments, we study this kind of effective interaction,
known as the critical Casimir effect, for elongated colloids of cylindrical
shape. This adds orientational degrees of freedom. When the colloidal particles
are close to a chemically structured substrate, a critical Casimir torque
acting on the colloids emerges. We calculate this torque on the basis of the
Derjaguin approximation. The range of validity of the latter is assessed via
mean-field theory. This assessment shows that the Derjaguin approximation is
reliable in experimentally relevant regimes, so that we extend it to Janus
particles endowed with opposing adsorption preferences. Our analysis indicates
that critical Casimir interactions are capable of achieving well-defined,
reversible alignments both of chemically homogeneous and of Janus cylinders.


title:
The optically thick homogenous SSC model: Application to radio galaxy
  NGC 1275

abstract:
  We consider the Synchrotron Self-Compton (SSC) model for jets in active
galaxies in which produced $\gamma$-ray photons can be absorbed in collisions
with the synchrotron radiation already at the emission region. In terms of such
modified SSC model, we argue that the higher emission stages should be
characterised by $\gamma$-ray spectra extending to lower energies due to the
efficient absorption of the highest energy $\gamma$-rays. As an example, we
show that different emission stages of the nearby radio galaxy NGC 1275 could
be explained by such scenario.


title:
Applying Network Coding To Neighbour Topology Based Broadcasting
  Techniques in MANETs

abstract:
  In Mobile Ad-Hoc networks, broadcasting is a fundamental operation in the
network layer. A node transmits a rebroadcast message to any or all other nodes
whenever it receives for the first time. It will generate several redundant
transmissions and it ends up in a significant downside Broadcast Storm problem.
Within the literature, researchers have proposed 2-Hop Neighbour based protocol
like DP, TDP, PDP and APDP to reduce broadcast storm in MANETs by choosing the
minimum number of forwarding nodes from 1-Hop nodes to cover all 2-Hop nodes.


title:
The shell effects in the scission-point configuration of fissioning
  nuclei

abstract:
  In the present work the formal definition of the scission point - the maximal
elongation at which the nucleus splits into two fragments - is given. The shape
and the deformation energy at the scission point are calculated within the
macroscopic-microscopic model.
  Three minima in the scission point deformation energy are found corresponding
to the "standard", "supershort" and "superlong" fission modes. The contribution
of each fission mode to the mass distribution of the fission fragments and
total kinetic energy is discussed and compared with the experimental results.
On the example of the fission process of U-235 by thermal neutrons it is shown
that the present approach reproduces correctly the position of the peaks of the
mass distribution of the fission fragments, the value and the fine details of
the total kinetic energy distribution and the magnitude of the total excitation
energy of the fission fragments.


title:
Linking high and low temperature plasticity in bulk metallic glasses II:
  use of a log-normal barrier energy distribution and a mean field description
  of high temperature plasticity

abstract:
  A thermal activation model to describe the plasticity of bulk metallic
glasses (Derlet and Maa\ss, Phil. Mag. 2013, DOI: 10.1080/14786435.2013.826396)
which uses a distribution of barrier energies and some aspects of under-cooled
liquid physics is developed further. In particular, a log-normal distribution
is now employed to describe the statistics of barrier energies. A high
temperature mean-field description of homogeneous macro-plasticity is then
developed and is shown to be similar to a thermal activation picture employing
a single characteristic activation energy and activation volume. In making this
comparison, the activation volume is interpreted as being proportional to the
average mean-square-value of the plastic shear strain magnitude within the
material. Also, the kinetic fragility at the glass transition temperature is
shown to represent the effective number of irreversible structural
transformations available at that temperature.


title: On base point free theorem of threefolds in positive characteristic

abstract:
  Let $(X, \Delta)$ be a projective klt three dimensional pair defined over an
algebraically closed field characteristic larger than 5. Let $L$ be a nef and
big line bundle on $X$ such that $L-K_X-\Delta$ is big and nef. We show that
$L$ is indeed semi-ample.


title:
Propagation of collective modes in non-overlapping dipolar Bose-Einstein
  condensates

abstract:
  We investigate long-range effects of the dipolar interaction in Bose-Einstein
condensates by solving the time-dependent 3D Gross-Pitaevskii equation. We
study the propagation of excitations between non-overlapping condensates when a
collective mode is excited in one of the condensates. We obtain the frequency
shifts due to the long-range character of the dipolar coupling for the bilayer
and also the trilayer system when the dipolar mode is excited in one
condensate. The propagation of the monopolar and quadrupolar modes are also
investigated. The coupled-pendulum model is proposed to qualitatively explain
the long range effects of the dipolar coupling.


title: MAC Address as a Key for Data Encryption

abstract:
  In computer networking, the Media Access Control (MAC) address is a unique
value associated with a network adapter. MAC addresses are also known as
hardware addresses or physical addresses. TCP/IP and other mainstream
networking architectures generally adopt the OSI model. MAC addresses function
at the data link layer (layer 2 in the OSI model). They allow computers to
uniquely identify themselves on a network at this relatively low level. In this
paper, suggested data encryption technique is presented by using the MAC
address as a key that is used to authenticate the receiver device like PC,
mobile phone, laptop or any other devices that is connected to the network.
This technique was tested on some data, visual and numerical measurements were
used to check the strength and performance of the technique. The experiments
showed that the suggested technique can be used easily to encrypt data that is
transmitted through networks.


title: Operator algebras with a reduction property

abstract:
  In this thesis we explore the the possibility of characterising C* algebras
by their (non-isometric) Banach algebra structure alone.
  We introduce a property of Banach algebras, the Total Reduction Property, and
conjecture that a Banach algebra has this property if and only if it is
isomorphic to a C* algebra. We establish some partial results in support of
this conjecture.


title: Smooth Non-Homogeneous Gizatullin Surfaces

abstract:
  Quasi-homogeneous surfaces, or Gizatullin surfaces, are normal affine
surfaces such that there exists an open orbit of the automorphism group with a
finite complement. If the action of the automorphism group is transitive, the
surface is called homogeneous. Examples of non-homogeneous Gizatullin surfaces
were constructed in [Ko], but on more restricted conditions. We show that a
similar result holds under less constrained assumptions. Moreover, we exhibit
examples of smooth affine surfaces with a non-transitive action of the
automorphism group whereas the automorphism group is huge. This means that it
is not generated by a countable set of algebraic subgroups and that its
quotient by the (normal) subgroup generated by all algebraic subgroups contains
a free group over an uncountable set of generators.


title:
Axial rotation and turbulence of RR ab stars: the Peterson Conundrum
  revisited

abstract:
  We calibrate and then use the relation between equivalent width (EW) and
full-width-half-maximum (FWHM) of metallic absorption lines in the spectra of
RR Lyrae stars to estimate a new upper limit of Vrot sini less than or equal to
6 km/s on their axial equatorial rotational velocities, and to derive the
variations of macroturbulent velocities in their atmospheres during pulsation
cycles. Finally, we present a simple way to estimate macroturbulent/rotational
velocity from FWHM of the cross-correlation function.


title:
Tensor parameters in Skyrme and Gogny effective interactions: Trends
  from a ground-state-focused study

abstract:
  Recent ground--state--focused studies of the tensor effects in the
mean--field framework are our starting point. On the basis of phenomenological
arguments, we indicate regions for acceptable values of the parameters that are
associated with the tensor effective forces within both the Skyrme and the
Gogny models. We identify acceptable signs and values of the parameters by
making an adjustment on the neutron $1f$ spin--orbit splitting for the nuclei
$^{40}$Ca, $^{48}$Ca and $^{56}$Ni. The first nucleus is not used to adjust the
tensor parameters because it is spin--saturated, but is employed to tune the
spin--orbit strength. One of the main conclusions of this work is that some
existing Skyrme parametrizations containing the tensor force should not be
employed because the wrong sign of the tensor parameters does not lead to the
correct behavior (by comparing with the experimental results). This study also
allows us to better constrain the tensor parameters in the Gogny case, where
much less work is published and boundaries and signs for the parameters have
not been analyzed so far.


title: Weak Singular Hybrid Automata

abstract:
  The framework of Hybrid automata, introduced by Alur, Courcourbetis,
Henzinger, and Ho, provides a formal modeling and analysis environment to
analyze the interaction between the discrete and the continuous parts of
cyber-physical systems. Hybrid automata can be considered as generalizations of
finite state automata augmented with a finite set of real-valued variables
whose dynamics in each state is governed by a system of ordinary differential
equations. Moreover, the discrete transitions of hybrid automata are guarded by
constraints over the values of these real-valued variables, and enable
discontinuous jumps in the evolution of these variables. Singular hybrid
automata are a subclass of hybrid automata where dynamics is specified by
state-dependent constant vectors. Henzinger, Kopke, Puri, and Varaiya showed
that for even very restricted subclasses of singular hybrid automata, the
fundamental verification questions, like reachability and schedulability, are
undecidable. In this paper we present \emph{weak singular hybrid automata}
(WSHA), a previously unexplored subclass of singular hybrid automata, and show
the decidability (and the exact complexity) of various verification questions
for this class including reachability (NP-Complete) and LTL model-checking
(PSPACE-Complete). We further show that extending WSHA with a single
unrestricted clock or extending WSHA with unrestricted variable updates lead to
undecidability of reachability problem.


title:
On the Castelnuovo-Mumford regularity of the cohomology of fusion
  systems and of the Hochschild cohomology of block algebras

abstract:
  Symonds' proof of Benson's regularity conjecture implies that the regularity
of the cohomology of a fusion system and that of the Hochschild cohomology of a
p-block of a finite group is at most zero. Using results of Benson, Greenlees,
and Symonds, we show that in both cases the regularity is equal to zero.


title:
Noether Identities and Gauge-Fixing the Action for Cosmological
  Perturbations

abstract:
  We propose and develop a general algorithm for finding the action for
cosmological perturbations which rivals the conventional, gauge-invariant
approach and can be applied to theories with more than one metric. We then
apply it to a particular case of bigravity, focusing on the Eddington- inspired
Born-Infeld theory, and show that we can obtain a nearly scale-invariant power
spectrum for both scalar and tensor primordial quantum perturbations.
Unfortunately, in the case of the minimal Eddington-inspired Born-Infeld
theory, we find that the tensor-to-scalar ratio of perturbations is
unacceptably large. We discuss the applicability of our general method and the
possibility of resurrecting the specific theory we have looked at.


title: Planning based on classification by induction graph

abstract:
  In Artificial Intelligence, planning refers to an area of research that
proposes to develop systems that can automatically generate a result set, in
the form of an integrated decision-making system through a formal procedure,
known as plan. Instead of resorting to the scheduling algorithms to generate
plans, it is proposed to operate the automatic learning by decision tree to
optimize time. In this paper, we propose to build a classification model by
induction graph from a learning sample containing plans that have an associated
set of descriptors whose values change depending on each plan. This model will
then operate for classifying new cases by assigning the appropriate plan.


title:
Applications of geometric discrepancy in numerical analysis and
  statistics

abstract:
  In this paper we discuss various connections between geometric discrepancy
measures, such as discrepancy with respect to convex sets (and convex sets with
smooth boundary in particular), and applications to numerical analysis and
statistics, like point distributions on the sphere, the acceptance-rejection
algorithm and certain Markov chain Monte Carlo algorithms.


title: On symmetric quotients of symmetric algebras

abstract:
  We investigate symmetric quotient algebras of symmetric algebras, with an
emphasis on finite group algebras over a complete discrete valuation ring
${\mathcal O}$. Using elementary methods, we show that if an ordinary
irreducible character $\chi$ of a finite group $G$ gives rise to a symmetric
quotient over ${\mathcal O}$ which is not a matrix algebra, then the
decomposition numbers of the row labelled by $\chi$ are all divisible by the
characteristic $p$ of the residue field of ${\mathcal O}$.


title:
Online and Stochastic Universal Gradient Methods for Minimizing
  Regularized H\"older Continuous Finite Sums

abstract:
  Online and stochastic gradient methods have emerged as potent tools in large
scale optimization with both smooth convex and nonsmooth convex problems from
the classes $C^{1,1}(\reals^p)$ and $C^{1,0}(\reals^p)$ respectively. However
to our best knowledge, there is few paper to use incremental gradient methods
to optimization the intermediate classes of convex problems with H\"older
continuous functions $C^{1,v}(\reals^p)$. In order fill the difference and gap
between methods for smooth and nonsmooth problems, in this work, we propose the
several online and stochastic universal gradient methods, that we do not need
to know the actual degree of smoothness of the objective function in advance.
We expanded the scope of the problems involved in machine learning to H\"older
continuous functions and to propose a general family of first-order methods.
Regret and convergent analysis shows that our methods enjoy strong theoretical
guarantees. For the first time, we establish an algorithms that enjoys a linear
convergence rate for convex functions that have H\"older continuous gradients.


title: Distributed Computing on Complex Networks

abstract:
  This work considers the problem of finding analytical expressions for the
expected values of dis- tributed computing performance metrics when the
underlying communication network has a complex structure. Through active
probing tests a real distributed computing environment is analysed. From the
resulting network, ensembles of synthetic graphs with additional structure are
used in Monte Carlo simulations to both validate analytical expressions and
explore the performance metrics under different conditions. Computing paradigms
with different hierarchical structures in computing ser- vices are gauged,
fully decentralised (i.e., peer-to-peer) environments providing the best
performance. Moreover, it is found that by implementing more intelligent
computing services configurations (e.g., betweenness centrality based mappings)
and task allocations strategies, significant improvements in the parallel
efficiency can be achieved. We qualitatively reproduce results from previous
works and provide closed-form solutions for the expected performance metrics
linking topological, application structure and allocation parameters when job
dependencies and a complex network structure are considered.


title: Thermal DBI action for the D3-brane at weak and strong coupling

abstract:
  We study the effective action for finite-temperature D3-branes with an
electromagnetic field at weak and strong coupling. We call this action the
thermal DBI action. Comparing at low temperature the leading $T^4$ correction
for the thermal DBI action at weak and strong coupling we find that the $3/4$
factor well-known from the AdS/CFT correspondence extends to the case of
arbitrary electric and magnetic fields on the D3-brane. We investigate the
reason for this by taking the decoupling limit in both the open and the closed
string descriptions thus showing that the AdS/CFT correspondence extends to the
case of arbitrary constant electric and magnetic fields on the D3-brane.


title: A survey on non-autonomous basins in several complex variables

abstract:
  Consider a holomorphic automorphism which acts hyperbolically on some
invariant compact set. Then for every point in the compact set there exists a
stable manifold, which is a complex manifold diffeomorphic to real Euclidean
space. If the point is fixed, then the stable manifold is even biholomorphic to
complex Euclidean space. In fact, it is known that the stable manifold of a
generic point is biholomorphic to Euclidean space, and it has been conjectured
that this holds for every point.
  In this article we survey the history of this problem, addressing both known
results and the techniques used to obtain those results. Moreover, we present a
list of seemingly simpler open problems and prove several new results, all
pointing towards a positive answer to the conjecture discussed above.


title: A Note on Celestial Mechanics in Kerr Spacetime

abstract:
  The Hamilton-Jacobi equation for test particles in the Kerr geometry is
separable. Using action-angle variables, we establish several relations between
various physical quantities that characterize bound timelike geodesic orbits
around a spinning black hole, including the particle's rest mass, energy,
angular momentum, mean redshift and fundamental frequencies. These relations
are explicitly checked to hold true in the particular case of equatorial
circular orbits. An application to the gravitational wave-driven, adiabatic
inspiral of extreme-mass-ratio compact binaries is briefly discussed.


title: SBML for optimizing decision support's tools

abstract:
  Many theoretical works and tools on epidemiological field reflect the
emphasis on decision-making Tools by both public health and the scientific
community, which continues to increase. Indeed, in the epidemiological field,
modeling tools are proving a very important way in helping to make decision.
However, the variety, the large volume of data and the nature of epidemics lead
us to seek solutions to alleviate the heavy burden imposed on both experts and
developers. In this paper, we present a new approach: the passage of an
epidemic model realized in Bio-PEPA to a narrative language using the basics of
SBML language. Our goal is to allow on one hand, epidemiologists to verify and
validate the model, and the other hand, developers to optimize the model in
order to achieve a better model of decision making. We also present some
preliminary results and some suggestions to improve the simulated model.


title:
Analytical relation between the Polyakov loop and Dirac eigenvalues in
  temporally odd-number lattice QCD

abstract:
  We derive an analytical gauge-invariant relation between the Polyakov loop
$\langle L_P \rangle$ and the Dirac eigenvalues $\lambda_n$ in QCD, i.e.,
$\langle L_P \rangle \propto \sum_n \lambda_n^{N_t -1} \langle n|\hat U_4|n
\rangle$, on a temporally odd-number lattice, where the temporal lattice size
$N_t$ is odd. Here, we use an ordinary square lattice with the normal
(nontwisted) periodic boundary condition for link-variables in the temporal
direction. This relation is a Dirac spectral representation of the Polyakov
loop in terms of Dirac eigenmodes $|n\rangle$. Because of the factor
$\lambda_n^{N_t -1}$ in the Dirac spectral sum, this analytical relation
indicates negligibly small contribution of low-lying Dirac modes to the
Polyakov loop in both confined and deconfined phases, while the low-lying Dirac
modes are essential for chiral symmetry breaking. Also, we numerically confirm
the analytical relation, non-zero finiteness of $\langle n|\hat U_4|n \rangle$,
and tiny contribution of low-lying Dirac modes to the Polyakov loop in lattice
QCD simulations. Thus, we conclude that low-lying Dirac modes are not essential
modes for confinement, and there is no direct one-to-one correspondence between
confinement and chiral symmetry breaking in QCD.


title:
Plane-wave scattering by self-complementary metasurfaces in terms of
  electromagnetic duality and Babinet's principle

abstract:
  We investigate theoretically electromagnetic plane-wave scattering by
self-complementary metasurfaces. By using Babinet's principle extended to
metasurfaces with resistive elements, we show that the frequency-independent
transmission and reflection are realized for normal incidence of a circularly
polarized plane wave onto a self-complementary metasurface, even if there is
diffraction. Next, we consider two special classes of self-complementary
metasurfaces. We show that self-complementary metasurfaces with rotational
symmetry can act as coherent perfect absorbers, and those with translational
symmetry compatible with their self-complementarity can split the incident
power equally, even for oblique incidences.


title:
Mixing Energy Models in Genetic Algorithms for On-Lattice Protein
  Structure Prediction

abstract:
  Protein structure prediction (PSP) is computationally a very challenging
problem. The challenge largely comes from the fact that the energy function
that needs to be minimised in order to obtain the native structure of a given
protein is not clearly known. A high resolution 20x20 energy model could better
capture the behaviour of the actual energy function than a low resolution
energy model such as hydrophobic polar. However, the fine grained details of
the high resolution interaction energy matrix are often not very informative
for guiding the search. In contrast, a low resolution energy model could
effectively bias the search towards certain promising directions. In this
paper, we develop a genetic algorithm that mainly uses a high resolution energy
model for protein structure evaluation but uses a low resolution HP energy
model in focussing the search towards exploring structures that have
hydrophobic cores. We experimentally show that this mixing of energy models
leads to significant lower energy structures compared to the state-of-the-art
results.


title: Predictions for LHC from SO(4) MWT

abstract:
  We investigate the vector, axial and pseudo scalar mass spectrum of an SO(4)
- MWT gauge theory with fermions in the vector representation of SO(4). Here we
present the preliminary lattice results for the masses of vector and axial
vector meson using Wilson fermions. These spectra are crucial for the discovery
and to guide the searches of composite dynamics at the LHC.


title:
Electric dipole polarizability of alkaline-Earth-metal atoms from
  perturbed relativistic coupled-cluster theory with triples

abstract:
  The perturbed relativistic coupled-cluster (PRCC) theory is applied to
calculate the electric dipole polarizabilities of alkaline Earth metal atoms.
The Dirac-Coulomb-Breit atomic Hamiltonian is used and we include the triple
excitations in the relativistic coupled-cluster (RCC) theory. The theoretical
issues related to the triple excitation cluster operators are described in
detail and we also provide details on the computational implementation. The
PRCC theory results are in good agreement with the experimental and previous
theoretical results. We, then, highlight the importance of considering the
Breit interaction for alkaline Earth metal atoms.


title:
Velocity relaxation of a porous sphere immersed in a viscous
  incompressible fluid

abstract:
  Velocity relaxation of a spherically symmetric polymer, immersed in a viscous
incompressible fluid, and after a sudden small impulse or a sudden twist from a
state of rest, is studied on the basis of the linearized Navier-Stokes
equations with an added Darcy type drag term. Explicit expressions for the
translational and rotational velocity relaxation functions of the polymer and
for the flow pattern of the fluid are derived for a uniform permeable sphere.
Surprisingly, it is found that the added mass vanishes. For fairly large values
of the ratio of sphere radius to the screening length characterizing the
permeability the velocity relaxation functions in the short and intermediate
time regime differ significantly from that of a sphere with no-slip boundary
condition. At long times both relaxation functions show universal power law
behavior.


title: Determination of the $A_2$ amplitude of $K \rightarrow \pi\pi$ decays

abstract:
  We review the status of recent calculations by the RBC-UKQCD collaboration of
the complex amplitude $A_2$, corresponding to the decay of a kaon to a two pion
state with total isospin 2. In particular, we present preliminary results from
two new ensembles: $48^3 \times 96$ with $a^{-1}=1.73$ GeV and $64^3 \times
128$ with $a^{-1}=2.3$ GeV, both at physical kinematics. Both ensembles were
generated Iwasaki gauge action and domain wall fermion action with 2+1
flavours. These results, in comparison to our earlier ones on a $32^3$ DSDR
lattice with $a^{-1}=1.36$ GeV, enable us to significantly reduce the
discretization errors. The partial cancellation between the two dominant
contractions contributing to Re($A_2$) has been confirmed and we believe that
this cancellation is a major contribution to the $\Delta I=1/2$ rule.


title: Some Banach spaces of Dirichlet series

abstract:
  The Hardy spaces of Dirichlet series denoted by ${\cal H}^p$ ($p\ge1$) have
been studied in [12] when p = 2 and in [3] for the general case. In this paper
we study some Lp-generalizations of spaces of Dirichlet series, particularly
two families of Bergman spaces denoted ${\cal A}^p$ and ${\cal B}^p$. We
recover classical properties of spaces of analytic functions: boundedness of
point evaluation, embeddings between these spaces and "Littlewood-Paley"
formulas when p = 2. We also show that the ${\cal B}^p$ spaces have properties
similar to the classical Bergman spaces of the unit disk while the ${\cal A}^p$
spaces have a different behavior.


title: Renormalization group running of neutrino parameters

abstract:
  Neutrinos are the most elusive particles in our universe. They have masses at
least one million times smaller than the electron mass, carry no electric
charge, and very weakly interact with other particles, meaning they are rarely
captured in terrestrial detectors. Tremendous efforts in the past two decades
have revealed that neutrinos can transform from one type to another as a
consequence of neutrino oscillations---a quantum mechanical effect over
macroscopic distances---yet the origin of neutrino masses remains puzzling. The
physical evolution of neutrino parameters with respect to energy scale may help
elucidate the mechanism for their mass generation.


title: The Ginzburg-Landau Theory of a Holographic Superconductor

abstract:
  The general Ginzburg-Landau formulation of a holographic superconductor is
developed near the transition temperature in the probe limit for two kinds of
conformal dimension. Below the transition temperature, $T<T_c$, the
order-parameter scales with $\sqrt{1-\frac{T}{T_c}}$ as expected. The G-L free
energy in grand caonnical ensemble and canonical ensemble are derived and the
gradient term is studied. Furthermore this scaling coefficient of
order-parameter takes different values in the grand canonical ensemble and the
canonical ensemble, suggesting the strong coupling nature of the boundary field
theory of the superconductiviy.


title: Dynamics of several two-level atoms in a one-mode cavity

abstract:
  The dynamics of few two-level atoms interacting with one cavity mode is
described in master equation formalism. Two different configurations are
considered: a transient one with all atoms initially in the excited state and a
stationary one where a coherent pump acts on either the atoms or the cavity
mode. Superradiance, resonant scattering and switching between a low and a high
emission state are considered. Cooperation and decoherence as well as the
statistics of the emitted radiation field in both cases are discussed.


title:
Isometric immersions of higher codimension into the product ${\mathbf
  S^k \times H^{n+p-k}}$ of sphere and hyperboloid

abstract:
  In this paper, we obtain a sufficient and necessary condition for a simply
connected Riemannian manifold $(M^n, g)$ to be isometrically immersed, as a
submanifold with codimension $p\geq 1$, into the product $S^k\times H^{n+p-k}$
of sphere and hyperboloid.