title: Simple, pulsed, polarisation entangled photon pair source

abstract:
  We report the realisation of a fibred polarisation entangled photon-pair
source at 1560 nm based on a type-II non linear interaction and working in the
picosecond regime. By taking advantage of a set of filters, we
deterministically separate the photons and project them into wavelength
separable states. A standard entanglement measurement with a net interference
visibility close to 1, proves the relevance of our approach as an enabling
technology for entanglement-based quantum communication.


title: Eccentricity effects on the quantum confinement in double quantum rings

abstract:
  This work presents a theoretical study of the energy spectrum of GaAs/AlGaAs
concentric double quantum rings, under an applied magnetic field directed
perpendicular to the ring plane. The Schrodinger equation for this system is
solved in a realistic model consisting of rings with finite barrier potentials.
Numerical results show that increasing the magnetic field intensity leads to
oscillations in the ground state energy which, in contrast to the usual
Aharonov-Bohm oscillations, do not have a well defined period, due to the
coupling between inner and outer rings states. However, when one considers an
elliptical geometry for the rings, the energy spectra of the inner and outer
ring states are decoupled and the periodicity of the oscillations is recovered.


title:
Quantitative recurrence properties in conformal iterated function
  systems

abstract:
  Let $\Lambda$ be a countable index set and $S=\{\phi_i: i\in \Lambda\}$ be a
conformal iterated function system on $[0,1]^d$ satisfying the open set
condition. Denote by $J$ the attractor of $S$. With each sequence
$(w_1,w_2,...)\in \Lambda^{\mathbb{N}}$ is associated a unique point $x\in
[0,1]^d$. Let $J^\ast$ denote the set of points of $J$ with unique coding, and
define the mapping $T:J^\ast \to J^\ast$ by $Tx= T (w_1,w_2, w_3...) =
(w_2,w_3,...)$. In this paper, we consider the quantitative recurrence
properties related to the dynamical system $(J^\ast, T)$. More precisely, let
$f:[0,1]^d\to \mathbb{R}^+$ be a positive function and $$R(f):=\{x\in J^\ast:
|T^nx-x|<e^{-S_n f(x)}, \ {\text{for infinitely many}}\ n\in \mathbb{N}\},$$
where $S_n f(x)$ is the $n$th Birkhoff sum associated with the potential $f$.
In other words, $R(f)$ contains the points $x$ whose orbits return close to $x$
infinitely often, with a rate varying along time. Under some conditions, we
prove that the Hausdorff dimension of $R(f)$ is given by $\inf\{s\ge 0: P(T,
-s(f+\log |T'|))\le 0\}$, where $P$ is the pressure function and $T'$ is the
derivative of $T$. We present some applications of the main theorem to
Diophantine approximation.


title: Local Reconstructions of Silicene Induced by Adatoms

abstract:
  The interaction of silicene with Si, C, H, O, Ti atoms along with H$_2$,
H$_2$O and O$_2$ molecules are investigated and the induced functionalities
thereof are analyzed using first principles density functional theory. Si
adatom initially adsorbed at the top site of silicene pushes down the Si atom
underneath to form a dumbbell like structure with 3+1 coordination. This
prediction is important for silicene research and reveal new physical phenomena
related with the formation of multilayer Si, which is apparently the precursor
state for missing layered structure of silicon. We found that dumbbell
structure attributes coverage dependent electronic and magnetic properties to
nonmagnetic bare silicene. Even more interesting is that silicene with
dumbbells is energetically more favorable than the pristine silicene: The more
dense the dumbbell coverage, the stronger is the cohesion. Incidentally, these
structures appear to be intermediate between between silicene and silicon.
Carbon adatom, which is initially adsorbed to the bridge position, substitutes
one Si atom, if it overcomes a small energy barrier. Oxygen molecule can
dissociate on silicene surface, whereby constituent oxygen atoms oxidize
silicene by forming strong bonds. By varying the concentration and decoration
of carbon, hydrogen and oxygen atoms one can tune the band gap of silicene.
Through the adsorption of hydrogen or titanium adatom, silicene acquires spin
polarized state. A half metallic ferromagnetic behavior is attained at specific
uniform coverage of Ti adatom, which may function as a spin valve.


title:
Efficiency Improvement of Measurement Pose Selection Techniques in Robot
  Calibration

abstract:
  The paper deals with the design of experiments for manipulator geometric and
elastostatic calibration based on the test-pose approach. The main attention is
paid to the efficiency improvement of numerical techniques employed in the
selection of optimal measurement poses for calibration experiments. The
advantages of the developed technique are illustrated by simulation examples
that deal with the geometric calibration of the industrial robot of serial
architecture.


title: MARTE Profile-based MDA approach for semantic NFP-aware Web services

abstract:
  Non Functional Properties (NFPs) such as security, quality of service and
business related properties enhance the service description and provide
necessary information about the fitness of its behaviour. These properties have
become crucial criteria for efficient selection and composition of Web
services. However, they belong to different domains, are complex, change
frequently and have to be semantically described. The W3C standard
WSPolicy,recommended to describe these properties doesn t define standardized
specifications that cover all NFPs domains. Moreover, it doesn t provide an
easy manner to express them independently of domains, and doesn t support their
semantic. This paper proposes a Model driven approach to describe and
automatically generate enriched Web services including semantic NFPs. It
explores both the use of the OMG Profile for Modelling and Analysis of
Real-Time Embedded Systems (MARTE) and the W3C standards. Mapping rules, from
NFPs profile to WS-Policy and SAWSDL files, transforms NFPs into policies
associated with WSDL elements.


title: Photophoretic Strength on Chondrules 1: Modeling

abstract:
  Photophoresis is a physical process that transports particles in optical thin
parts of protoplanetary disks, especially at the inner edge and at the
optically surface. To model the transport and resulting effects in detail, it
is necessary to quantify the strength of photophoresis for different particle
classes as a fundamental input. Here, we explore photophoresis for a set of
chondrules. The composition and surface morphology of these chondrules was
measured by X-ray tomography. Based on the three-dimensional models, heat
transfer through illuminated chondrules was calculated. The resulting surface
temperature map was then used to calculate the photophoretic strength. We found
that irregularities in particle shape and variations in composition induce
variations in the photophoretic force. These depend on the orientation of a
particle with respect to the light source. The variations of the absolute value
of the photophoretic force on average over all chondrules is $4.17\%$. The
deviation between the direction of the photophoretic force and illumination is
$3.0^\circ \pm 1.5^\circ$. The average photophoretic force can be well
approximated and calculated analytically assuming a homogeneous sphere with a
volume equivalent mean radius and an effective thermal conductivity. We found
an analytic expression for the effective thermal conductivity. The expression
depends on the two main phases of a chondrule, and decreases with the amount of
fine-grained devitrified, plagioclase-normative mesostasis up to factor of
three. For the chondrule sample studied (Bjurb\"ole chondrite), we found a
dependence of the photophoretic force on chondrule size.


title: Higgs Phenomenology in the Minimal Dilaton Model after Run I of the LHC

abstract:
  The Minimal Dilaton Model (MDM) extends the Standard Model (SM) by a singlet
scalar, which can be viewed as a linear realization of general dilaton field.
This new scalar field mixes with the SM Higgs field to form two mass
eigenstates with one of them corresponding to the 125 GeV SM-like Higgs boson
reported by the LHC experiments. In this work, under various theoretical and
experimental constrains, we perform fits to the latest Higgs data and then
investigate the phenomenology of Higgs boson in both the heavy dilaton scenario
and the light dilaton scenario of the MDM. We find that: (i) If one considers
the ATLAS and CMS data separately, the MDM can explain each of them well, but
refer to different parameter space due to the apparent difference in the two
sets of data. If one considers the combined data of the LHC and Tevatron,
however, the explanation given by the MDM is not much better than the SM, and
the dilaton component in the 125-GeV Higgs is less than about 20% at 2 sigma
level. (ii) The current Higgs data have stronger constrains on the light
dilaton scenario than on the heavy dilaton scenario. (iii) The heavy dilaton
scenario can produce a Higgs triple self coupling much larger than the SM
value, and thus a significantly enhanced Higgs pair cross section at hadron
colliders. With a luminosity of 100 fb^{-1} (10 fb^{-1}) at the 14-TeV LHC, a
heavy dilaton of 400 GeV (500 GeV) can be examined. (iv) In the light dilaton
scenario, the Higgs exotic branching ratio can reach 43% (60%) at 2 sigma (3
sigma) level when considering only the CMS data, which may be detected at the
14-TeV LHC with a luminosity of 300 fb^{-1} and the Higgs Factory.


title: EW and QCD One-Loop Amplitudes with RECOLA

abstract:
  We present the computer code RECOLA for the computation of EW and QCD
amplitudes in the Standard Model at next-to-leading order. One-loop amplitudes
are represented as linear combinations of tensor integrals whose coefficients
are calculated by means of recursive relations similar to Dyson-Schwinger
equations. A novel treatment of colour enables us to recursively construct the
colour structure of the amplitude efficiently. RECOLA is linked with the
library COLLIER for the computation of the tensor integrals.


title:
Metrological Investigation of the (6,5) Carbon Nanotube Absorption Cross
  Section

abstract:
  Using single-nanotube absorption microscopy, we measured the absorption cross
section of (6,5) carbon nanotubes at their second-order optical transition. We
obtained a value of 3.2 10-17 cm2/C atom with a precision of 15% and an
accuracy below 20%. This constitutes the first metrological investigation of
the absorption cross section of chirality-identified nanotubes. Correlative
absorption-luminescence microscopies performed on long nanotubes reveal a
direct manifestation of exciton diffusion in the nanotube.


title: Enumerating lattices of subsets

abstract:
  Given k sets such that no one is contained in another, there is an associated
lattice on the power set P([k]) corresponding to inclusion relations among
unions of the sets. Two lattices on P([k]) are equivalent if there is a
permutation of [k] under which they correspond. We show that for k=1, 2, 3, and
4, there are 1, 1, 4, and 50 equivalence classes of lattices on P([k]) obtained
from sets in this way. We cannot find a reference to previous work on this
enumeration problem in the literature, and so wish to introduce it for
subsequent investigation. We explain how the problem arose from algebraic
topology.


title: A bound on the p-length of p-solvable groups

abstract:
  Let G be a finite p-solvable group and P a Sylow p-subgroup of G. Suppose
that $\gamma_{l(p-1)}(P)\subseteq \gamma_r(P)^{p^s}$ for $l(p-1)<r+s(p-1)$,
then the p-length is bounded by a function depending on l.


title:
Measurement of Branching Fractions and CP Asymmetries in B -> wK Decays
  and First Evidence of CP Violation in B0 -> wKS0

abstract:
  We present a measurement of the branching fractions and charge-parity-(CP-)
violating parameters in B -> omega K decays. The results are obtained from the
final data sample containing 772 x 10^(6) BBbar pairs collected at the Y(4S)
resonance with the Belle detector at the KEKB asymmetric-energy e+e- collider.
We obtain the branching fractions
  B(B0 -> omega K0) = (4.5 +/- 0.4 (stat) +/- 0.3 (syst)) x 10^(-6),
  B(B- -> omega K-) = (6.8 +/- 0.4 (stat) +/- 0.4 (syst)) x 10^(-6),
  which are in agreement with their respective current world averages. For the
CP violating parameters, we obtain
  A(B0 -> omega KS) = -0.36 +/- 0.19 (stat) +/- 0.05 (syst),
  S(B0 -> omega KS) = +0.91 +/- 0.32 (stat) +/- 0.05 (syst),
  A(B- -> omega K-) = -0.03 +/- 0.04 (stat) +/- 0.01 syst), where A and S
represent the direct and mixing-induced CP asymmetry, respectively. We find no
evidence of CP violation in the decay channel B-->omega K-; however, we obtain
the first evidence of CP violation in the B0 -> omega KS decay channel at the
level of 3.1 standard deviations.


title:
A Tapered Chalcogenide Microstructured Optical Fiber for Mid-IR
  Parabolic Pulse Generation: Design and Performance Study

abstract:
  This paper presents a theoretical design of chalcogenide glass based tapered
microstructured optical fiber (MOF) to generate high power parabolic pulses
(PPs) at the mid-IR wavelength (~ 2 {\mu}m). We optimize fiber cross-section by
the multipole method and studied pulse evolution by well known Symmetrized
Split-Step Fourier Method. Our numerical investigation reveals the possibility
of highly efficient PP generation within a very short length (~ 18 cm) of this
MOF for a Gaussian input pulse of 60 W peak power and FWHM of 3.5 ps. We
examined quality of the generated PP by calculating the misfit parameter
including the third order dispersion and fiber loss. Further, the effects of
variations in input pulse power, pulse width and pulse energy on generated PP
were also studied.


title: Strong edge coloring of subcubic bipartite graphs

abstract:
  A strong edge coloring of a graph $G$ is a proper edge coloring in which each
color class is an induced matching of $G$. In 1993, Brualdi and Quinn Massey
proposed a conjecture that every bipartite graph without $4$-cycles and with
the maximum degrees of the two partite sets $2$ and $\Delta$ admits a strong
edge coloring with at most $\Delta+2$ colors. We prove that this conjecture
holds for such graphs with $\Delta=3$. We also confirm the conjecture proposed
by Faudree et al. for subcubic bipartite graphs.


title: V_cs from D_s to {\phi}l{\nu} semileptonic decay and full lattice QCD

abstract:
  We determine the complete set of axial and vector form factors for the Ds to
{\phi}l{\nu} decay from full lattice QCD for the first time. The valence quarks
are implemented using the Highly Improved Staggered Quark action and we
normalise the appropriate axial and vector currents fully nonperturbatively.
The q^2 and angular distributions we obtain for the differential rate agree
well with those from the BaBar experiment and, from the total branching
fraction, we obtain Vcs = 1.017(63), in good agreement with that from D to
Kl{\nu} semileptonic decay. We also find the mass and decay constant of the
{\phi} meson in good agreement with experiment, showing that its decay to
K{\bar{K}} (which we do not include here) has at most a small effect. We
include an Appendix on nonperturbative renormalisation of the complete set of
staggered vector and axial vector bilinears needed for this calculation.


title: Mobile Augmented Reality Applications to Discover New Environments

abstract:
  Although man has become sedentary over time, his wish to travel the world
remains as strong as ever. The aim of this paper is to show how techniques
based on imagery and Augmented Reality (AR) can prove to be of great help when
discovering a new urban environment and observing the evolution of the natural
environment. The study's support is naturally the Smartphone which in just a
few years has become our most familiar device, which we take with us
practically everywhere we go in our daily lives.


title:
A Deterministic Polynomial Space Construction for eps-nets under any
  Norm

abstract:
  We give a deterministic polynomial space construction for nearly optimal
eps-nets with respect to any input n-dimensional convex body K and norm |.|.
More precisely, our algorithm can build and iterate over an eps-net of K with
respect to |.| in time 2^O(n) x (size of the optimal net) using only
poly(n)-space. This improves on previous constructions of Alon et al [STOC
2013] which achieve either a 2^O(n) approximation or an n^O(n) approximation of
the optimal net size using 2^n space and poly(n)-space respectively. As in
their work, our algorithm relies on the mathematically classical approach of
building thin lattice coverings of space, which reduces the task of
constructing eps-nets to the problem of enumerating lattice points. Our main
technical contribution is a deterministic 2^O(n)-time and poly(n)-space
construction of thin lattice coverings of space with respect to any convex
body, where enumeration in these lattices can be efficiently performed using
poly(n)-space. This also yields the first existential construction of
poly(n)-space enumerable thin covering lattices for general convex bodies,
which we believe is of independent interest. Our construction combines the use
of the M-ellipsoid from convex geometry with lattice sparsification and
densification techniques.
  As an application, we give a 2^O(n)(1+1/eps)^n time and poly(n)-space
deterministic algorithm for computing a (1+eps)^n approximation to the volume
of a general convex body, which nearly matches the lower bounds for volume
estimation in the oracle model (the dependence on eps is larger by a factor 2
in the exponent). This improves on the previous results of Dadush and Vempala
[PNAS 2013], which gave the above result only for symmetric bodies and achieved
a dependence on eps of (1+log^{5/2}(1/eps)/eps^2)^n.


title:
From Hypernuclei to Hypermatter: a Quantum Monte Carlo Study of
  Strangeness in Nuclear Structure and Nuclear Astrophysics

abstract:
  The work presents the recent developments in Quantum Monte Carlo calculations
for nuclear systems including strange degrees of freedom. The Auxiliary Field
Diffusion Monte Carlo algorithm has been extended to the strange sector by the
inclusion of the lightest among the hyperons, the $\Lambda$ particle. This
allows to perform detailed calculations for $\Lambda$ hypernuclei, providing a
microscopic framework for the study of the hyperon-nucleon interaction in
connection with the available experimental information. The extension of the
method for strange neutron matter, put the basis for the first Diffusion Monte
Carlo analysis of the hypernuclear medium, with the derivation of neutron star
observables of great astrophysical interest.


title: Dirac solutions for quaternionic potentials

abstract:
  In this paper, the quaternionic Dirac equation is solved for quaternionic
potentials, iV0+jW0. The study shows two different solutions. The first
solution contains particles and anti-particles and leads to the diffusion,
tunneling and Klein energy zones. The complex limit is recovered from this
solution. The second solution, which does not have a complex counterpart, can
be seen as a V0-antiparticle or |W0|-particle.


title: Modelling of the gravity compensators in robotic manufacturing cells

abstract:
  The paper deals with the modeling and identification of the gravity
compensators used in heavy industrial robots. The main attention is paid to the
geometrical parameters identification and calibration accuracy. To reduce
impact of the measurement errors, the design of calibration experiments is
used. The advantages of the developed technique are illustrated by experimental
results


title:
A holographic calculation of the electric conductivity of the strongly
  coupled quark-gluon plasma near the deconfinement transition

abstract:
  The frequency dependent conductivity $\sigma(\omega)$ of the strongly coupled
Quark-Gluon Plasma (QGP) is estimated using a bottom up holographic model that
can adequately describe recent lattice data for QCD thermodynamics at zero
chemical potential. Different choices for the coupling between the bulk gauge
field and the other bulk fields that define the background (the metric and a
scalar field) are used in order to fit the lattice data for the electric charge
susceptibility $\chi_2^Q/T^2$. The ratio $\sigma_{DC}/T$ is found to vary near
the deconfinement transition in a way that is similar to recent lattice
results. This model is used to compute the charge diffusion coefficient $D$ of
the strongly coupled plasma. We find that the dimensionless combination $DT$
has the same type of temperature dependence displayed by $\sigma_{DC}/T$ and,
thus, charge diffusion is suppressed at low temperatures. The frequency
dependent conductivity $\sigma(\omega)$ reveals some nontrivial structure for
values of the temperature near the phase transition. None of these structures
appear in the associated Euclidean correlator, which we also compute. Our
results suggest that the conformal invariance violation near the QCD
deconfinement phase transition may be seen in the Euclidean correlator through
a downward shift of its value at the minimum, which gives a rough estimate of
the temperature dependence of the DC conductivity in the plasma.


title: Robust algorithm for calibration of robotic manipulator model

abstract:
  The paper focuses on the robust identification of geometrical and
elastostatic parameters of robotic manipulator. The main attention is paid to
the efficiency improvement of the identification algorithm. To increase the
identification accuracy, it is proposed to apply the weighted least square
technique that employs a new algorithm for assigning of the weighting
coefficients. The latter allows taking into account variation of the
measurement system precision in different directions and throughout the robot
workspace. The advantages of the proposed approach are illustrated by an
application example that deals with the elasto-static calibration of industrial
robot.


title: Advanced robot calibration using partial pose measurements

abstract:
  The paper focuses on the calibration of serial industrial robots using
partial pose measurements. In contrast to other works, the developed advanced
robot calibration technique is suitable for geometrical and elastostatic
calibration. The main attention is paid to the model parameters identification
accuracy. To reduce the impact of measurement errors, it is proposed to use
directly position measurements of several points instead of computing
orientation of the end-effector. The proposed approach allows us to avoid the
problem of non-homogeneity of the least-square objective, which arises in the
classical identification technique with the full-pose information. The
developed technique does not require any normalization and can be efficiently
applied both for geometric and elastostatic identification. The advantages of a
new approach are confirmed by comparison analysis that deals with the
efficiency evaluation of different identification strategies. The obtained
results have been successfully applied to the elastostatic parameters
identification of the industrial robot employed in a machining work-cell for
aerospace industry.


title:
Optimising Gaussian processes for reconstructing dark energy dynamics
  from supernovae

abstract:
  Gaussian processes are a fully Bayesian smoothing technique that allows for
the reconstruction of a function and its derivatives directly from
observational data, without assuming a specific model or choosing a
parameterization. This is ideal for constraining dark energy because physical
models are generally phenomenological and poorly motivated. Model-independent
constraints on dark energy are an especially important alternative to
parameterized models, as the priors involved have an entirely different source
so can be used to check constraints formulated from models or
parameterizations. A critical prior for Gaussian process reconstruction lies in
the choice of covariance function. We show how the choice of covariance
function affects the result of the reconstruction, and present a choice which
leads to reliable results for present day supernovae data. We also introduce a
method to quantify deviations of a model from the Gaussian process
reconstructions.


title: Low-energy constants and condensates from the V-A spectrum

abstract:
  We present an analysis of the isospin-one V-A correlator based on our
successful simultaneous description of the OPAL V and A non-strange tau
spectral data. We discuss the values obtained for the Chiral Perturbation
Theory low-energy constants L_10 and C_87 as well as the dimension-six and
eight condensates and compare them with those in the literature.


title:
Poset topology and homological invariants of algebras arising in
  algebraic combinatorics

abstract:
  We present a beautiful interplay between combinatorial topology and
homological algebra for a class of monoids that arise naturally in algebraic
combinatorics. We explore several applications of this interplay. For instance,
we provide a new interpretation of the Leray number of a clique complex in
terms of non-commutative algebra.
  R\'esum\'e. Nous pr\'esentons une magnifique interaction entre la topologie
combinatoire et l'alg\`ebre homologique d'une classe de mono\"ides qui figurent
naturellement dans la combinatoire alg\'ebrique. Nous explorons plusieurs
applications de cette interaction. Par exemple, nous introduisons une nouvelle
interpr\'etation du nombre de Leray d'un complexe de clique en termes de la
dimension globale d'une certaine alg\`ebre non commutative.


title: Riemann zeta zeros and zero-point energy

abstract:
  We postulate the existence of a self-adjoint operator associated to a system
with countably infinite number of degrees of freedom whose spectrum is the
sequence of the nontrivial zeros of the Riemann zeta function. We assume that
it describes a massive scalar field coupled to a background field in a
$(d+1)$-dimensional flat space-time. The scalar field is confined to the
interval $[0,a]$ in one dimension and is not restricted in the other
dimensions. The renormalized zero-point energy of this system is presented
using techniques of dimensional and analytic regularization. In even
dimensional space-time, the series that defines the regularized vacuum energy
is finite. For the odd-dimensional case, to obtain a finite vacuum energy per
unit area we are forced to introduce mass counterterms. A Riemann mass appears,
which is the correction to the mass of the field generated by the nontrivial
zeros of the Riemann zeta function.


title: Population genetics and substitution models of adaptive evolution

abstract:
  The ratio of non-synonymous to synonymous substitutions
$\omega(=d_{N}/d_{S})$ has been widely used as a measure of adaptive evolution
in protein coding genes. Omega can be defined in terms of population genetics
parameters as the fixation ratio of selected vs. neutral mutants. Here it is
argued that approaches based on the infinite sites model are not appropriate to
define $\omega$ for single codon locations. Simple models of amino acid
substitution with reversible mutation and selection are analysed, and used to
define $\omega$ under several evolutionary scenarios. In most practical cases
$\omega<1$ when selection is constant throughout time. However, it is shown
that when the pattern of selection on amino acids changes, for example after an
environment shift, a temporary burst of adaptive evolution ($\omega\gg1$) can
be observed. The fixation probability of a novel mutant under frequency
dependent selection is calculated, and it is used to show why $\omega>1$ can be
sometimes expected for single locations at equilibrium. An example with
influenza data is discussed.


title:
Local limits of conditioned Galton-Watson trees II: the condensation
  case

abstract:
  We provide a complete picture of the local convergence of critical or
subcritical Galton-Watson tree conditioned on having a large number of
individuals with out-degree in a given set. The generic case, where the limit
is a random tree with an infinite spine has been treated in a previous paper.
We focus here on the non-generic case, where the limit is a random tree with a
node with infinite out-degree. This case corresponds to the so-called
condensation phenomenon.


title: Time dependent mean-field games in the superquadratic case

abstract:
  We investigate time-dependent mean-field games with superquadratic
Hamiltonians and a power dependence on the measure. Such problems pose
substantial mathematical challenges as the key techniques used in the
subquadratic case do not extend to the superquadratic setting. Because of the
superquadratic structure of the Hamiltonian, Lipschitz estimates for the
solutions of the Hamilton-Jacobi equation are obtained through a novel set of
techniques. These explore the parabolic nature of the problem through the
non-linear adjoint method. Well-posedness is proved by combining Lipschitz
regularity for the Hamilton-Jacobi equation with polynomial estimates for
solutions of the Fokker-Planck equation. Existence of classical solutions can
then be proved under conditions depending only on the growth of the Hamiltonian
and the dimension. Our results also add to the current understanding of
superquadratic Hamilton-Jacobi equations.


title:
CAD-based approach for identification of elasto-static parameters of
  robotic manipulators

abstract:
  The paper presents an approach for the identification of elasto-static
parameters of a robotic manipulator using the virtual experiments in a CAD
environment. It is based on the numerical processing of the data extracted from
the finite element analysis results, which are obtained for isolated
manipulator links. This approach allows to obtain the desired stiffness
matrices taking into account the complex shape of the links, couplings between
rotational/translational deflections and particularities of the joints
connecting adjacent links. These matrices are integral parts of the manipulator
lumped stiffness model that are widely used in robotics due to its high
computational efficiency. To improve the identification accuracy,
recommendations for optimal settings of the virtual experiments are given, as
well as relevant statistical processing techniques are proposed. Efficiency of
the developed approach is confirmed by a simulation study that shows that the
accuracy in evaluating the stiffness matrix elements is about 0.1%.


title: Pseudodeterminants and perfect square spanning tree counts

abstract:
  The pseudodeterminant $\textrm{pdet}(M)$ of a square matrix is the last
nonzero coefficient in its characteristic polynomial; for a nonsingular matrix,
this is just the determinant. If $\partial$ is a symmetric or skew-symmetric
matrix then $\textrm{pdet}(\partial\partial^t)=\textrm{pdet}(\partial)^2$.
Whenever $\partial$ is the $k^{th}$ boundary map of a self-dual CW-complex $X$,
this linear-algebraic identity implies that the torsion-weighted generating
function for cellular $k$-trees in $X$ is a perfect square. In the case that
$X$ is an \emph{antipodally} self-dual CW-sphere of odd dimension, the
pseudodeterminant of its $k$th cellular boundary map can be interpreted
directly as a torsion-weighted generating function both for $k$-trees and for
$(k-1)$-trees, complementing the analogous result for even-dimensional spheres
given by the second author. The argument relies on the topological fact that
any self-dual even-dimensional CW-ball can be oriented so that its middle
boundary map is skew-symmetric.


title: Single-photon quantum router with multiple output ports

abstract:
  We study the multi-channel quantum routing of the single photons in a
waveguide-emitter system. The channels are composed by the waveguides and are
connected by intermediate two-level emitters. By adjusting the intermediate
emitters, the output channels of the input single photons can be controlled.
This is demonstrated for the cases of one output channel, two output channels
and the generic N output channels. The results show that the multi-channel
quantum routing of single photons can be well achieved in present system. This
sheds light on the experimental realization of quantum routing of single
photons.


title: Geometrical aspects on the dark matter problem

abstract:
  In the present paper we apply the Nash's theory of perturbative geometry to
the study of dark matter gravity in a higher-dimensional space-time. It is
shown that the dark matter gravitational perturbations at local scale can be
explained by the extrinsic curvature of the standard cosmology. In order to
test our model, we use a spherically symmetric metric embedded in a
five-dimensional bulk. As a result, considering a sample of 10 low surface
brightness and 6 high surface brightness galaxies, we find a very good
agreement with the observed rotation curves of smooth hybrid alpha-HI
measurements.


title: Energy Conditions in a Generalized Second-Order Scalar-Tensor Gravity

abstract:
  The study of energy conditions has many significant applications in general
relativistic and cosmological contexts. This paper explores the energy
conditions in the framework of the most general scalar-tensor theory with field
equations involving second-order derivatives. For this purpose, we use flat FRW
universe model with perfect fluid matter contents. By taking power law ansatz
for scalar field, we discuss the strong, weak, null and dominant energy
conditions in terms of deceleration, jerk and snap parameters. Some particular
cases of this theory like k-essence model and modified gravity theories etc.
are analyzed with the help of the derived energy conditions and the possible
constraints on the free parameters of the presented models are determined.


title:
Generalized Teleparallel Gravity Via Some Scalar Field Dark Energy
  Models

abstract:
  We consider generalized teleparallel gravity in the flat FRW universe with a
viable power-law f(T) model. We construct its equation of state and
deceleration parameters which give accelerated expansion of the universe in
quintessence era for the obtained scale factor. Further, we develop
correspondence of f(T) model with scalar field models such as, quintessence,
tachyon, K-essence and dilaton. The dynamics of scalar field as well as scalar
potential of these models indicate the expansion of the universe with
acceleration in the f(T) gravity scenario.


title: A one-parameter generalization of Pfaffians

abstract:
  In analogy to the definition of the lambda-determinant, we define a
one-parameter deformation of the Dodgson condensation formula for Pfaffians. We
prove that the resulting rational function is a polynomial with weights given
by the crossings and nestings of perfect matchings and prove several identities
and closed-form evaluations.


title: Computing 2-Dimensional Algebras: Crossed Modules and Cat1-Algebras

abstract:
  In this paper, we described the GAP implementation of crossed modules of
commutative algebras and cat$^{1}$-algebras and their equivalence.


title: New interaction solutions of Kadomtsev-Petviashvili equation

abstract:
  The residual symmetry coming from truncated Painleve expansion of KP equation
is nonlocal, which is localized in this paper by introducing multiple new
dependent variables. By using the standard Lie group approach, the symmetry
reduction solutions for KP equation is obtained based on the general form of
Lie point symmetry for the prolonged system. In this way, the interaction
solutions between solitons and background waves is obtained, which is hard to
study by other traditional methods.


title: Macroscopic theory of dark sector

abstract:
  A simple Lagrangian with squared covariant divergence of a vector field as a
kinetic term turned out an adequate tool for macroscopic description of the
dark sector. The zero-mass field acts as the dark energy. Its energy-momentum
tensor is a simple additive to the cosmological constant. Massive fields
{\phi}_{I} with {\phi}^{K}{\phi}_{K}<0 and {\phi}^{K}{\phi}_{K}>0 describe two
different forms of dark matter. The space-like ({\phi}^{K}{\phi}_{K}<0) massive
vector field is attractive. It is responsible for the observed plateau in
galaxy rotation curves. The time-like ({\phi}^{K}{\phi}_{K}>0) massive field
displays repulsive elasticity. In balance with dark energy and ordinary matter
it provides a four parametric diversity of regular solutions of the Einstein
equations describing different possible cosmological and oscillating
non-singular scenarios of evolution of the universe. In particular, the
singular big bang turns into a regular inflation-like transition from
contraction to expansion with the accelerate expansion at late times. The
fine-tuned Friedman-Robertson-Walker singular solution is a particular limiting
case at the boundary of existence of regular oscillating solutions in the
absence of vector fields. The simplicity of the general covariant expression
for the energy-momentum tensor allows to display the main properties of the
dark sector analytically and avoid unnecessary model assumptions.


title: A Criterion for Potentially Good Reduction in Non-archimedean Dynamics

abstract:
  Let K be a non-archimedean field, and let f in K(z) be a polynomial or
rational function of degree at least 2. We present a necessary and sufficient
condition, involving only the fixed points of f and their preimages, that
determines whether or not the dynamical system f on P^1 has potentially good
reduction.


title: Unifying Projected Entangled Pair States contractions

abstract:
  The approximate contraction of a Projected Entangled Pair States (PEPS)
tensor network is a fundamental ingredient of any PEPS algorithm, required for
the optimization of the tensors in ground state search or time evolution, as
well as for the evaluation of expectation values. An exact contraction is in
general impossible, and the choice of the approximating procedure determines
the efficiency and accuracy of the algorithm. We analyze different previous
proposals for this approximation, and show that they can be understood via the
form of their environment, i.e. the operator that results from contracting part
of the network. This provides physical insight into the limitation of various
approaches, and allows us to introduce a new strategy, based on the idea of
clusters, that unifies previous methods. The resulting contraction algorithm
interpolates naturally between the cheapest and most imprecise and the most
costly and most precise method. We benchmark the different algorithms with
finite PEPS, and show how the cluster strategy can be used for both the tensor
optimization and the calculation of expectation values. Additionally, we
discuss its applicability to the parallelization of PEPS and to infinite
systems (iPEPS).


title: Thin-shell wormholes supported by total normal matter

abstract:
  The Zipoy-Voorhees-Weyl (ZVW) spacetime characterized by mass ($M$) and
oblateness ($\delta $) is proposed in the construction of viable thin-shell
wormholes (TSWs). Departure from spherical / cylindrical symmetry yields
positive total energy in spite of the fact that local energy density may take
negative values. We show that oblateness of the bumpy sources / black holes can
be incorporated as a new degree of freedom that may play role in the resolution
of the exotic matter problem in TSWs. Small velocity perturbation reveals,
however, that the resulting TSW is unstable.


title:
Abel averages and holomorphically pseudo-contractive maps in Banach
  spaces

abstract:
  A class of maps in a complex Banach space is studied, which includes both
unbounded linear operators and nonlinear holomorphic maps. The defining
property, which we call {\sl pseudo-contractivity}, is introduced by means of
the Abel averages of such maps. We show that the studied maps are dissipative
in the spirit of the classical Lumer-Phillips theorem. For pseudo-contractive
holomorphic maps, we establish the power convergence of the Abel averages to
holomorphic retractions.


title: Exploring the Local Orthogonality Principle

abstract:
  Nonlocality is arguably one of the most fundamental and counterintuitive
aspects of quantum theory. Nonlocal correlations could, however, be even more
nonlocal than quantum theory allows, while still complying with basic physical
principles such as no-signaling. So why is quantum mechanics not as nonlocal as
it could be? Are there other physical or information-theoretic principles which
prohibit this? So far, the proposed answers to this question have been only
partially successful, partly because they are lacking genuinely multipartite
formulations. In Nat. Comm. 4, 2263 (2013) we introduced the principle of Local
Orthogonality (LO), an intrinsically multipartite principle which is satisfied
by quantum mechanics but is violated by non-physical correlations.
  Here we further explore the LO principle, presenting new results and
explaining some of its subtleties. In particular, we show that the set of
no-signaling boxes satisfying LO is closed under wirings, present a
classification of all LO inequalities in certain scenarios, show that all
extremal tripartite boxes with two binary measurements per party violate LO,
and explain the connection between LO inequalities and unextendible product
bases.


title: Failure mechanisms of load sharing complex systems

abstract:
  We investigate the failure mechanisms of load sharing complex systems. The
system is composed of multiple nodes or components whose failures are
determined based on the interaction of their respective strengths and loads (or
capacity and demand respectively) as well as the ability of a component to
share its load with its neighbors when needed. We focus on two distinct
mechanisms to model the interaction between components' strengths and loads.
The failure mechanisms of these two models demonstrate temporal scaling
phenomena, phase transitions and multiple distinct failure modes excited by
extremal dynamics. For critical ranges of parameters the models demonstrate
power law and exponential failure patterns. We identify the similarities and
differences between the two mechanisms and the implications of our results to
the failure mechanisms of complex systems in the real world.


title: Electric dipole moment of ^{129}Xe atom

abstract:
  The parity (P) and time-reversal (T) odd coupling constant associated with
the tensor-pseudotensor (T-PT) electron-nucleus interaction and the nuclear
Schiff moment (NSM) have been determined by combining the result of the
measurement of the electric dipole moment (EDM) of ^{129}Xe atom and
calculations based on the relativistic coupled-cluster (RCC) theory.
Calculations using various relativistic many-body methods have been performed
at different levels of approximation and their accuracies are estimated by
comparing the results of the calculated dipole polarizability of the ground
state of the above atom with its most precise available experimental data. The
non-linear terms that arise in the RCC theory at the singles and doubles
approximation were found to be crucial for achieving high accuracy in the
calculations. Our results for the ^{129}Xe EDM due to the odd T-PT interaction
and the NSM are, respectively, d_A=0.501 x 10^{-20} C_T <\sigma_N > |e|cm and
d_A=0.336 x 10^{-17} S/(|e| fm^3) |e|cm. These results in combination with the
future EDM measurements in atomic Xe could provide the most accurate limits for
the T-PT coupling constant and NSM.


title: Immersed disks, slicing numbers and concordance unknotting numbers

abstract:
  We study three knot invariants related to smoothly immersed disks in the
four-ball. These are the four-ball crossing number, which is the minimal number
of normal double points of such a disk bounded by a given knot; the slicing
number, which is the minimal number of crossing changes to a slice knot; and
the concordance unknotting number, which is the minimal unknotting number in a
smooth concordance class. Using Heegaard Floer homology we obtain bounds that
can be used to determine two of these invariants for all prime knots with
crossing number ten or less, and to determine the concordance unknotting number
for all but thirteen of these knots. As a further application we obtain some
new bounds on Gordian distance between torus knots. We also give a strengthened
version of Ozsvath and Szabo's obstruction to unknotting number one.


title:
Coherent chirped pulse laser network in Mickelson phase conjugating
  configuration

abstract:
  The mechanisms of nonlinear phase-locking of a large fiber amplifier array
are analyzed. It is shown that Michelson phase conjugating configuration with
double passage through array of fiber amplifiers have the definite advantages
compared to one-way fiber array coupled in a Mach-Zehnder configuration.
Regardless to amount of synchronized fiber amplifiers Michelson
phase-conjugating interferometer is expected to do a perfect compensation of
the phase-piston errors and collimation of backwardly amplified fiber beams on
entrance/output beamsplitter. In both configurations the nonlinear
transformation of the stretched pulse envelope due to gain saturation is
capable to randomize the position of chirp inside envelope thus it may reduce
the visibility of interference pattern at output beamsplitter. A certain
advantages are inherent to the $sech$-form temporal envelope because of
exponential precursor and self-similar propagation in gain medium. The Gaussian
envelope is significantly compressed in a deep gain saturation regime and
frequency chirp position inside pulse envelope is more deformed.


abstract:
  We review the BCS-BEC crossover in relativistic Fermi systems, including the
QCD matter at finite density. In the first part we study the BCS-BEC crossover
in a relativistic four-fermion interaction model and show how the relativistic
effect affects the BCS-BEC crossover. In the second part, we investigate both
two-color QCD at finite baryon density and pion superfluid at finite isospin
density, by using an effective Nambu--Jona-Lasinio model. We will show how the
model describes the weakly interacting diquark and pion condensates at low
density and the BEC-BCS crossover at high density.


title: Cluster size distribution in the autocatalytic growth model

abstract:
  We generalize the model of transition-metal nanocluster growth in aqueous
solution, proposed recently [Phys. Rev. E \textbf{87}, 022132 (2013)]. In order
to model time evolution of the system, kinetic equations describing time
dependence of the rate of chemical reactions are combined with Smoluchowski
coagulation equation. In the absence of coagulation and fragmentation
processes, the model equations are solved in two steps. First, for any
injective functional dependence of the autocatalytic reaction rate constant on
the cluster size, we obtain explicit analytical form of the $i$-mer
concentration, $\xi_{i}$, as a function of $\xi_{1}$. This result allows us to
reduce considerably the number of time-evolution equations. In the simplest
situation, the remaining single kinetic equation for $\xi_{1}(t)$ is solved in
quadratures. In a general case, we obtain small system of time-evolution
equations, which, although rarely analytically tractable, can be relatively
easily solved by using numerical methods.


title:
The role of local and global geometry in quantum entanglement
  percolation

abstract:
  We prove that enhanced entanglement percolation via lattice transformation is
possible even if the new lattice is more poorly connected in that: i) the
coordination number (a local property) decreases, or ii) the classical
percolation threshold (a global property) increases. In searching for protocols
to transport entanglement across a network, it seems reasonable to try
transformations that increase connectivity. In fact, all examples that we are
aware of violate both conditions i and ii. One might therefore conjecture that
all good transformations must violate them. Here we provide a counter-example
that satisfies both conditions by introducing a new method, partial
entanglement swapping. This result shows that a transformation may not be
rejected on the basis of satisfying conditions i or ii. Both the result and the
new method constitute steps toward answering basic questions, such as whether
there is a minimum amount of local entanglement required to achieve long-range
entanglement.


title: Parallaxes of five L Dwarfs with a Robotic Telescope

abstract:
  We report the parallax and proper motion of five L dwarfs obtained with
observations from the robotic Liverpool Telescope. Our derived proper motions
are consistent with published values and have considerably smaller errors.
Based on our spectral type versus absolute magnitude diagram, we do not find
any evidence for binaries among our sample, or, at least no comparable mass
binaries. Their space velocities locate them within the thin disk and based on
the model comparisons they have solar-like abundances. For all five objects, we
derived effective temperature, luminosity, radius, gravity and mass from a
evolutionary model(CBA00) and our measured parallax; moreover, we derived their
effective temperature by integrating observed optical and near-infrared spectra
and model spectra (BSH06 or BT-Dusty respectively) at longer wavelengths to
obtain bolometric {\bf flux using} the classical Stefan-Boltzmann law:
generally the three temperatures for one object derived using two different
methods with three models are consistent, while at lower temperature(e.g. for
L4) the differences among the three temperatures are slightly larger than that
at higher temperature(e.g. for L1).


title:
Non-autonomous bright-dark solitons and Rabi oscillations in
  multi-component Bose-Einstein condensates

abstract:
  We study the dynamics of non-autonomous bright-dark matter-wave solitons in
two- and three- component Bose-Einstein condensates. Our setting includes a
time-dependent parabolic potential and scattering length, as well as Rabi
coupling of the separate hyperfine states. By means of a similarity
transformation, we transform the non-autonomous coupled Gross-Pitaevskii
equations into the completely integrable Manakov model with defocusing
nonlinearity, and construct the explicit form of the non-autonomous soliton
solutions. The propagation characteristics for the one-soliton state, and
collision scenarios for multiple soliton states are discussed in detail for two
types of time-dependent nonlinearities: a kink-like one and a periodically
modulated one, with appropriate time-dependence of the trapping potential. We
find that in the two-component condensates the nature of soliton propagation is
determined predominantly by the nature of the nonlinearity, as well as the
temporal modulation of the harmonic potential; switching in this setting is
essentially due to Rabi coupling. We also perform direct numerical simulation
of the non-autonomous two-component coupled Gross-Pitaevskii equations to
corroborate our analytical predictions. More interestingly, in the case of the
three-component condensates, we find that the solitons can lead to
collision-induced energy switching (energy-sharing collision), that can be
profitably used to control Rabi switching or vice-versa. An interesting
possibility of reversal of the nature of the constituent soliton, i.e., bright
(dark) into dark (bright) due to Rabi coupling is demonstrated in the
three-component setting.


title: A Framework for Semi-automated Web Service Composition in Semantic Web

abstract:
  Number of web services available on Internet and its usage are increasing
very fast. In many cases, one service is not enough to complete the business
requirement; composition of web services is carried out. Autonomous composition
of web services to achieve new functionality is generating considerable
attention in semantic web domain. Development time and effort for new
applications can be reduced with service composition. Various approaches to
carry out automated composition of web services are discussed in literature.
Web service composition using ontologies is one of the effective approaches. In
this paper we demonstrate how the ontology based composition can be made faster
for each customer. We propose a framework to provide precomposed web services
to fulfil user requirements. We detail how ontology merging can be used for
composition which expedites the whole process. We discuss how framework
provides customer specific ontology merging and repository. We also elaborate
on how merging of ontologies is carried out.


title: Some topics related to real, complex, and Fourier analysis

abstract:
  Here we look at some situations that are like the unit circle or the real
line in some ways, but which can be more complicated or fractal in other ways.


title: Why are all dualities conformal? Theory and practical consequences

abstract:
  We relate duality mappings to the "Babbage equation" F(F(z)) = z, with F a
map linking weak- to strong-coupling theories. Under fairly general conditions
F may only be a specific conformal transformation of the fractional linear
type. This deep general result has enormous practical consequences. For
example, one can establish that weak- and strong- coupling series expansions of
arbitrarily large finite size systems are trivially related, i.e., after
generating one of those series the other is automatically determined through a
set of linear constraints between the series coefficients. This latter relation
partially solve or, equivalently, localize the computational complexity of
evaluating the series expansion to a simple fraction of those coefficients. As
a bonus, those relations also encode non-trivial equalities between different
geometric constructions in general dimensions, and connect derived coefficients
to polytope volumes. We illustrate our findings by examining various models
including, but not limited to, ferromagnetic and spin-glass Ising, and Ising
gauge type theories on hypercubic lattices in 1< D <9 dimensions.

categories: cond-mat.stat-mech hep-th math-ph math.MP


title: jQuery.Feyn: Drawing Feynman Diagrams with SVG

abstract:
  jQuery.Feyn is a tool for drawing Feynman diagrams with Scalable Vector
Graphics (SVG), written in JavaScript and runs in modern browsers. It features
predefined propagator styles, vertex types, and symbols. Math formulae can be
included as external graphics, or typeset with TeX through MathJax library. The
generated SVG code can be easily modified to make fine adjustments and
conveniently transferred using copy-and-paste.


title: Generating Functional in String Field Theory

abstract:
  In our paper, we introduce a path integral of general functional field in
order to build the path integral formalism in string field theory from the fact
that a string field is a functional field, and describe a method for
calculating it in the case of "Gauss-type". We also obtain the generating
functional of an open bosonic string and the corresponding Feynman diagram.


title: Efficient XML Keyword Search based on DAG-Compression

abstract:
  In contrast to XML query languages as e.g. XPath which require knowledge on
the query language as well as on the document structure, keyword search is open
to anybody. As the size of XML sources grows rapidly, the need for efficient
search indices on XML data that support keyword search increases. In this
paper, we present an approach of XML keyword search which is based on the DAG
of the XML data, where repeated substructures are considered only once, and
therefore, have to be searched only once. As our performance evaluation shows,
this DAG-based extension of the set intersection search algorithm[1], [2], can
lead to search times that are on large documents more than twice as fast as the
search times of the XML-based approach. Additionally, we utilize a smaller
index, i.e., we consume less main memory to compute the results.


title:
Self-trapping and Josephson tunneling solutions to the nonlinear
  Schr\"odinger / Gross-Pitaevskii Equation

abstract:
  We study the long-time behavior of solutions to the nonlinear Schr\"odinger /
Gross-Pitaevskii equation (NLS/GP) with a symmetric double-well potential,
continuing work of the 2nd and 3rd authors. NLS/GP governs nearly-monochromatic
guided optical beams in weakly coupled waveguides with both linear and
nonlinear (Kerr) refractive indices and zero absorption. The optical power
($L^2$ norm) is conserved with propagation distance. At low optical power, the
beam energy executes beating oscillations between the two waveguides. There is
an optical power threshold above which the set of guided mode solutions splits
into two families of solutions. One type of solution corresponds to an optical
beam which is concentrated in either waveguide, but not both. Solutions in the
second family undergo tunneling oscillations between the two waveguides. NLS/GP
can also model the behavior of Bose-Einstein condensates. A finite dimensional
reduction (system of ODEs) well-approximates the PDE dynamics on long time
scales. In particular, we derive this reduction, find a class of exact
solutions and prove the very long-time shadowing of these solutions by applying
the approach of the 2nd and 3rd authors.


title:
The Limits of Depth Reduction for Arithmetic Formulas: It's all about
  the top fan-in

abstract:
  In recent years, a very exciting and promising method for proving lower
bounds for arithmetic circuits has been proposed. This method combines the
method of {\it depth reduction} developed in the works of Agrawal-Vinay [AV08],
Koiran [Koi12] and Tavenas [Tav13], and the use of the shifted partial
derivative complexity measure developed in the works of Kayal [Kay12] and Gupta
et al [GKKS13a]. These results inspired a flurry of other beautiful results and
strong lower bounds for various classes of arithmetic circuits, in particular a
recent work of Kayal et al [KSS13] showing superpolynomial lower bounds for
{\it regular} arithmetic formulas via an {\it improved depth reduction} for
these formulas. It was left as an intriguing question if these methods could
prove superpolynomial lower bounds for general (homogeneous) arithmetic
formulas, and if so this would indeed be a breakthrough in arithmetic circuit
complexity.
  In this paper we study the power and limitations of depth reduction and
shifted partial derivatives for arithmetic formulas. We do it via studying the
class of depth 4 homogeneous arithmetic circuits. We show: (1) the first {\it
superpolynomial lower bounds} for the class of homogeneous depth 4 circuits
with top fan-in $o(\log n)$. The core of our result is to show {\it improved
depth reduction} for these circuits. (2) We show that improved depth reduction
{\it is not possible} when the top fan-in is $\Omega(\log n)$. In particular
this shows that the depth reduction procedure of Koiran and Tavenas [Koi12,
Tav13] cannot be improved even for homogeneous formulas, thus strengthening the
results of Fournier et al [FLMS13] who showed that depth reduction is tight for
circuits, and answering some of the main open questions of [KSS13, FLMS13].


title:
Liquid Metal Angiography for Mega Contrast X-ray Visualization of
  Vascular Network

abstract:
  Visualizing the anatomical vessel networks plays a vital role in
physiological or pathological investigations. However, identifying the fine
structures of the smallest capillary vessels via conventional imaging ways
remains a big challenge. Here, the room temperature liquid metal angiography
was proposed for the first time to produce mega contrast X-ray images for
multi-scale vasculature mapping. Gallium was used as the room temperature
liquid metal contrast agent and perfused into the vessels of in vitro pig
hearts and kidneys. We scanned the samples under X-ray and compared the
angiograms with those obtained via conventional contrast agent--the iohexol. As
quantitatively proved by the gray scale histograms, the contrast of the vessels
to the surrounding tissues in the liquid metal angiograms is orders higher than
that of the iohexol enhanced images. And the resolution of the angiograms has
reached 100{\mu}m, which means the capillaries can be clearly distinguished in
the liquid metal enhanced images. With tomography from the micro-CT, we also
managed to reconstruct the 3-dementional structures of the kidney vessels.
Tremendous clarity and efficiency of the method over existing approaches were
experimentally demonstrated. It was disclosed that the usually invisible
capillary networks now become distinctively clear in the gallium angiograms.
This mechanism can be generalized and extended to a wide spectrum of
3-dimensional computational tomographic areas. It provides a soft tool for
quickly reconstructing high resolution spatial channel networks for scientific
researches or engineering applications where complicated and time consuming
surgical procedures are no longer necessary.


title:
Efficient Heuristic for Resource Allocation in Zero-forcing OFDMA-SDMA
  Systems with Minimum Rate Constraints

abstract:
  4G wireless access systems require high spectral efficiency to support the
ever increasing number of users and data rates for real time applications.
Multi-antenna OFDM-SDMA systems can provide the required high spectral
efficiency and dynamic usage of the channel, but the resource allocation
process becomes extremely complex because of the augmented degrees of freedom.
In this paper, we propose two heuristics to solve the resource allocation
problem that have very low computational complexity and give performances not
far from the optimal. The proposed heuristics select a set of users for each
subchannel, but contrary to the reported methods that solve the throughput
maximization problem, our heuristics consider the set of real-time (RT) users
to ensure that their minimum rate requirements are met. We compare the
heuristics' performance against an upper bound and other methods proposed in
the literature and find that they give a somewhat lower performance, but
support a wider range of minimum rates while reducing the computational
complexity. The gap between the objective achieved by the heuristics and the
upper bound is not large. In our experiments this gap is 10.7% averaging over
all performed numerical evaluations for all system configurations. The increase
in the range of the supported minimum rates when compared with a method
reported in the literature is 14.6% on average.


title:
Leptonic number violation signature arising from a $Z'$ model with
  non-diagonal leptonic couplings

abstract:
  Within the framework of a $Z'$ model with non-universal leptonic couplings,
we analyze possible signatures of leptonic number violation effects at LHC.
Results are described for leptonic energy distributions, both from its specific
signature and events number, that could allow us to observe this class of
models, under reasonable conditions at LHC.


title: Second-order (2+1)-dimensional anisotropic hydrodynamics

abstract:
  We present a complete formulation of second-order (2+1)-dimensional
anisotropic hydrodynamics. The resulting framework generalizes leading-order
anisotropic hydrodynamics by allowing for deviations of the one-particle
distribution function from the spheroidal form assumed at leading order. We
derive complete second-order equations of motion for the additional terms in
the macroscopic currents generated by these deviations from their kinetic
definition using a Grad-Israel-Stewart 14-moment ansatz. The result is a set of
coupled partial differential equations for the momentum-space anisotropy
parameter, effective temperature, the transverse components of the fluid
four-velocity, and the viscous tensor components generated by deviations of the
distribution from spheroidal form. We then perform a quantitative test of our
approach by applying it to the case of one-dimensional boost-invariant
expansion in the relaxation time approximation (RTA) in which case it is
possible to numerically solve the Boltzmann equation exactly. We demonstrate
that the second-order anisotropic hydrodynamics approach provides an excellent
approximation to the exact (0+1)-dimensional RTA solution for both small and
large values of the shear viscosity.


title:
Study of the 125 GeV Standard Model Higgs Boson Partial Widths and
  Branching Fractions

abstract:
  The discovery of the Higgs boson, with mass known to better than the percent
level, enables for the first time precision Higgs boson analyses. Toward this
goal, we define an expansion formalism of the Higgs boson partial widths and
branching fractions that facilitates such studies. This expansion yields the
observables as a perturbative expansion around reference values of Standard
Model input observables (quark masses, QCD coupling constant, etc.). We compute
the coefficients of the expansion using state-of-the-art results. We also study
the various sources of uncertainties in computing the partial widths and
branching fractions more precisely. We discuss the impact of these results with
efforts to discern new physics through precision Higgs boson studies.


title:
Formation of large-scale magnetic structures associated with the Fermi
  bubbles

abstract:
  The Fermi bubbles are part of a complex region of the Milky Way. This region
presents broadband extended non-thermal radiation, apparently coming from a
physical structure rooted in the Galactic Centre and with a partly-ordered
magnetic field threading it. We explore the possibility of an explosive origin
for the Fermi bubble region to explain its morphology, in particular that of
the large-scale magnetic fields, and provide context for the broadband
non-thermal radiation. We perform 3D magnetohydrodynamical simulations of an
explosion from a few million years ago that pushed and sheared a surrounding
magnetic loop, anchored in the molecular torus around the Galactic Centre. Our
results can explain the formation of the large-scale magnetic structure in the
Fermi bubble region. Consecutive explosive events may match better the
morphology of the region. Faster velocities at the top of the shocks than at
their sides may explain the hardening with distance from the Galactic Plane
found in the GeV emission. In the framework of our scenario, we estimate the
lifetime of the Fermi bubbles as $2\times10^6$ yr, with a total energy injected
in the explosion(s) $> 10^{55}$ ergs. The broadband non-thermal radiation from
the region may be explained by leptonic emission, more extended in radio and
X-rays, and confined to the Fermi bubbles in gamma rays.


title: On Lorentzian manifolds with highest first Betti number

abstract:
  We consider Lorentzian manifolds with parallel light-like vector field V.
Being parallel and light-like, the orthogonal complement of V induces a
codimension one foliation. Assuming compactness of the leaves and non-negative
Ricci curvature on the leaves it is known that the first Betti number is
bounded by the dimension of the manifold or the leaves if the manifold is
compact or non-compact, respectively. We prove in the case of the maximality of
the first Betti number that every such Lorentzian manifold is - up to finite
cover - diffeomorphic to the torus (in the compact case) or the product of the
real line with a torus (in the non-compact case) and has very degenerate
curvature, i.e. the curvature tensor induced on the leaves is light-like.


title:
Measurement of the top quark pair production charge asymmetry in
  proton-proton collisions at 7 TeV using the ATLAS detector

abstract:
  This letter presents a measurement of the top quark pair (tt) production
charge asymmetry Ac using 4.7 fb-1 of proton-proton collisions at a
centre-of-mass energy of 7 TeV collected by the ATLAS detector at the LHC. A
tt-enriched sample of events with a single lepton (electron or muon), missing
transverse momentum and at least four high transverse momentum jets, of which
at least one is tagged as coming from a b-quark, is selected. A likelihood fit
is used to reconstruct the tt event kinematics. A Bayesian unfolding procedure
is employed to estimate Ac at the parton-level. The measured value of the tt
production charge asymmetry is 0.006 +/- 0.010, where the uncertainty includes
both the statistical and the systematic components. Differential Ac
measurements as a function of the invariant mass, the rapidity and the
transverse momentum of the tt-system are also presented. In addition, Ac is
measured for a subset of events with large tt velocity, where physics beyond
the Standard Model could contribute. All measurements are consistent with the
Standard Model predictions.


title: Pbca-type In2O3: the lost pressure-induced post-corundum phase

abstract:
  Contradictory results of high-pressure studies in cubic bixbyite-type indium
oxide (c-In2O3) at room temperature (RT) have motivated us to perform
high-pressure powder x-ray diffraction and Raman scattering measurements in
this material. On increasing pressure c-In2O3 undergoes a transition to the
Rh2O3-II structure. On decreasing pressure Rh2O3-II-type In2O3 undergoes a
transition to a previously unknown phase which is isostructural to Rh2O3-III.
On further decrease of pressure, another phase transition to corundum-type
In2O3, which is metastable at room conditions, is observed. Recompression of
metastable corundum-type In2O3 shows that the Rh2O3-III phase is the
post-corundum phase. Our results are supported by theoretical ab initio
calculations which show that the Rh2O3-III phase could be present in other
sesquioxides, thus leading to a revision of the pressure-temperature phase
diagrams of sesquioxides.


title:
Estimates for Parameters and Characteristics of the Confining
  SU(3)-gluonic Field in $\phi$-meson from Leptonic Widths

abstract:
  The paper is devoted to applying the confinement mechanism proposed earlier
by one of the authors to estimate the possible parameters of the confining
SU(3)-gluonic field in vector $\phi$-meson. The estimates obtained are
consistent with the leptonic widths of the given meson. The corresponding
estimates of the gluon concentrations, electric and magnetic colour field
strengths are also adduced for the mentioned field at the scales of the meson
under consideration.


title: Geodesics and admissible-path spaces in Carnot Groups

abstract:
  We study the topology of admissible-loop spaces on a step-two Carnot group G.
We use a Morse-Bott theory argument to study the structure and the number of
geodesics on G connecting the origin with a 'vertical' point (geodesics are
critical points of the 'Energy' functional, defined on the loop space). These
geodesics typically appear in families (critical manifolds). Letting the energy
grow, we obtain an upper bound on the number of critical manifolds with energy
bounded by s: this upper bound is polynomial in s of degree l (the corank of
the distribution). Despite this evidence, we show that Morse-Bott inequalities
are far from sharp: the topology (i.e. the sum of the Betti numbers) of the
loop space filtered by the energy grows at most as a polynomial in s of degree
l-1. In the limit for s at infinity, all Betti numbers (except the zeroth) must
actually vanish: the admissible-loop space is contractible. In the case the
corank l=2 we compute exactly the leading coefficient of the sum of the Betti
numbers of the admissible-loop space with energy less than s. This coefficient
is expressed by an integral on the unit circle depending only on the
coordinates of the final point and the structure constants of the Lie algebra
of G.


title:
Numerical Investigations on Quasi Steady-State Model for Voltage
  Stability: Limitations and Nonlinear Analysis

abstract:
  In this paper, several numerical examples to illustrate limitations of Quasi
Steady-State (QSS) model in long-term voltage stability analysis are presented.
In those cases, the QSS model provided incorrect stability assessment. Causes
of failure of the QSS model are explained and analyzed in nonlinear system
framework. Sufficient conditions of the QSS model for correct approximation are
suggested.


title: 331 models facing new b -> s mu^+ mu^- data

abstract:
  We investigate how the 331 models face new data on B_{s,d}->mu^+mu^- and
B_d->K^*mu^+mu^- taking into account present constraints from Delta F=2
observables, low energy precision measurements, LEP-II and the LHC data. In
these models new flavour violating interactions of ordinary quarks and leptons
are dominated by a new heavy Z^prime gauge boson with the strength of the
relevant couplings governed by four new parameters in the quark sector and the
parameter beta. We study the implications of these models for beta=+-n/sqrt{3}
with n=1,2,3. The case beta=-sqrt{3} leading to Landau singularities for
M_{Z'}approx 4Tev can be ruled out when the present constraints on Z^prime
couplings, in particular from LEP-II, are taken into account. For n=1,2
interesting results are found for M_{Z^prime}< 4Tev with largest NP effects for
beta<0 in B_d->K^*mu^+mu^- and the ones in B_{s,d}->mu^+mu^- for beta>0. As
Re(C_9^NP) can reach the values -0.8 and -0.4 for n=2 and n=1, respectively the
B_d-> K^*mu^+mu^- anomalies can be softened with the size depending on Delta
M_s/(Delta M_s)_SM and the CP-asymmetry S_{psiphi}. A correlation between
Re(C_9^NP) and BR(B_s->mu^+mu^-), identified for beta<0, implies for negative
Re(C_9^NP) uniquely suppression of BR(B_s->mu^+mu^-) relative to its SM value
which is favoured by the data. In turn also S_{psiphi}< S_{psiphi}^SM is
favoured having dominantly opposite sign to S_{psiphi}^SM. We find that the
absence of B_d-> K^*mu^+mu^- anomalies in the future data and confirmation of
the suppression of BR(B_s->mu^+mu^-) relative to its SM value would favour
beta=1/sqrt{3} and M_{Z'}approx 3Tev. Assuming lepton universality, we find an
upper bound |C_9^NP|<1.1(1.4) from LEP-II data for all Z' models with only
left-handed flavour violating couplings to quarks when NP contributions to
Delta M_s at the level of 10%(15%) are allowed.


title: Covariant Bardeen Perturbation Formalism

abstract:
  In a previous work we obtained a set of necessary conditions for the linear
approximation in cosmology. Here we discuss the relations of this approach with
the so called covariant perturbations. It is often argued in the literature
that one of the main advantages of the covariant approach to describe
cosmological perturbations is that the Bardeen formalism is coordinate
dependent. In this paper we will reformulate the Bardeen approach in a
completely covariant manner. For that, we introduce the notion of pure and
mixed tensors, which yields an adequate language to treat both perturbative
approaches in a common framework. We then stress that in the referred covariant
approach one necessarily introduces an additional hyper-surface choice to the
problem. Using our mixed and pure tensors approach, we were able to construct a
one-to-one map relating the usual gauge dependence of the Bardeen formalism
with the hyper-surface dependence inherent to the covariant approach. Finally,
through the use of this map, we define full non-linear tensors that at first
order correspond to the three known gauge invariant variables $\Phi$, $\Psi$
and $\Xi$, which are simultaneously foliation and gauge invariant. We then
stress that the use of the proposed mixed tensors allows one to construct
simultaneously gauge and hyper-surface invariant variables at any order.


title:
Measurement of the leptonic ttbar charge asymmetry in the dilepton
  channel with the D0 detector

abstract:
  We present the legacy measurement of the leptonic ttbar charge asymmetry in
the dilepton channel with the D0 detector.


title: A statistical test to identify differences in clustering structures

abstract:
  Statistical inference on functional magnetic resonance imaging (fMRI) data is
an important task in brain imaging. One major hypothesis is that the presence
or not of a psychiatric disorder can be explained by the differential
clustering of neurons in the brain. In view of this fact, it is clearly of
interest to address the question of whether the properties of the clusters have
changed between groups of patients and controls. The normal method of
approaching group differences in brain imaging is to carry out a voxel-wise
univariate analysis for a difference between the mean group responses using an
appropriate test (e.g. a t-test) and to assemble the resulting "significantly
different voxels" into clusters, testing again at cluster level. In this
approach of course, the primary voxel-level test is blind to any cluster
structure. Direct assessments of differences between groups (or reproducibility
within groups) at the cluster level have been rare in brain imaging. For this
reason, we introduce a novel statistical test called ANOCVA - ANalysis Of
Cluster structure Variability, which statistically tests whether two or more
populations are equally clustered using specific features. The proposed method
allows us to compare the clustering structure of multiple groups
simultaneously, and also to identify features that contribute to the
differential clustering. We illustrate the performance of ANOCVA through
simulations and an application to an fMRI data set composed of children with
ADHD and controls. Results show that there are several differences in the
brain's clustering structure between them, corroborating the hypothesis in the
literature. Furthermore, we identified some brain regions previously not
described, generating new hypothesis to be tested empirically.


title: Large subgroups of simple groups

abstract:
  Let $G$ be a finite group. A proper subgroup $H$ of $G$ is said to be large
if the order of $H$ satisfies the bound $|H|^3 \ge |G|$. In this note we
determine all the large maximal subgroups of finite simple groups, and we
establish an analogous result for simple algebraic groups (in this context,
largeness is defined in terms of dimension). An application to triple
factorisations of simple groups (both finite and algebraic) is discussed.


title: Quasi-free (p,2p) and (p,pn) reactions with unstable nuclei

abstract:
  We study (p,2p) and (p,pn) reactions at proton energies in the range of 100
MeV -- 1 GeV. Our purpose is to explore the most sensitive observables in
unpolarized reactions with inverse kinematics involving radioactive nuclei. We
formulate a model based on the eikonal theory to describe total cross sections
and momentum distributions of the recoiled residual nucleus. The model is
similar to the one adopted for knockout reactions with heavy ions. We show that
momentum distributions are sensitive to the angular momentum of the ejected
nucleon which can be used as an spectroscopic tool. The total cross sections
are sensitive to the nucleon separation energies and to multiple scattering
effects. Our calculations also indicate that a beam energy around 500
MeV/nucleon has a smaller dependence on the anisotropy of the nucleon-nucleon
elastic scattering.


title:
A 3-form Gauge Potential in 5D in connection with a Possible Dark Sector
  of 4D-Electrodynamics

abstract:
  We here propose a 5-dimensional {\bf Abelian gauge} model based on the mixing
between a $U(1)$ potential and an Abelian 3-form field by means of a
topological mass term. An extended covariant derivative is introduced to
minimally couple a Dirac field to the $U(1)$ potential, while this same
covariant derivative non-minimally couples the 3-form field to the charged
fermion. A number of properties are discussed in 5D; in particular, the
appearance of a topological fermionic current. A 4-dimensional reduced version
of the model is investigated and, { \bf in addition to the $U(1)$ electric- and
magnetic-sort of fields,} there emerges an extra set of electric- and
magnetic-like fields which contribute a negative pressure and may be identified
as a possible fraction of dark energy. The role of the topological fermionic
current is also contemplated upon dimensional reduction from 5D to 4D. Other
issues we present in 4 space-time dimensions are the emergence {\bf of a
pseudo-scalar massive particle,} an extra massive neutral gauge boson,{\bf
which we interpret as a kind of paraphoton}, and the calculation of spin- and
velocity-dependent interparticle potentials associated to the exchange of the
intermediate bosonic fields of the model.


title:
Search for new physics in events with same-sign dileptons and jets in pp
  collisions at sqrt(s) = 8 TeV

abstract:
  A search for new physics is performed based on events with jets and a pair of
isolated, same-sign leptons. The results are obtained using a sample of
proton-proton collision data collected by the CMS experiment at a
centre-of-mass energy of 8 TeV at the LHC, corresponding to an integrated
luminosity of 19.5 inverse femtobarns. In order to be sensitive to a wide
variety of possible signals beyond the standard model, multiple search regions
defined by the missing transverse energy, the hadronic energy, the number of
jets and b-quark jets, and the transverse momenta of the leptons in the events
are considered. No excess above the standard model background expectation is
observed and constraints are set on a number of models for new physics, as well
as on the same-sign top-quark pair and quadruple-top-quark production cross
sections. Information on event selection efficiencies is also provided, so that
the results can be used to confront an even broader class of new physics
models.


title:
Computing model independent perturbations in dark energy and modified
  gravity

abstract:
  We present a methodology for computing model independent perturbations in
dark energy and modified gravity. This is done from the Lagrangian for
perturbations, by showing how field content, symmetries, and physical
principles are often sufficient ingredients for closing the set of perturbed
fluid equations. The fluid equations close once "equations of state for
perturbations" are identified: these are linear combinations of fluid and
metric perturbations which construct gauge invariant entropy and anisotropic
stress perturbations for broad classes of theories. Our main results are the
proof of the equation of state for perturbations presented in a previous paper,
and the development of the required calculational tools.


title:
Next-to-leading order QCD corrections to $W^+W^+$ and $W^-W^-$
  production in association with two jets

abstract:
  We present a study of $W^+W^+jj$ and $W^-W^-jj$ production including leptonic
decays in hadron-hadron collisions. The full electroweak and QCD induced
contributions and their interferences are calculated at leading order. We find
that, for inclusive cuts, the interference effects can be large if the jets are
produced with large transverse momentum where, however, the production rate is
suppressed. We also discuss the vector-boson-fusion (VBF) cuts and show the
validity of the VBF approximation. The NLO QCD corrections to the QCD-induced
channels are also calculated. Compared to the previous calculation, we allow
the intermediate $W$ bosons to be off-shell. For on-shell $W$ production, we
obtain an excellent agreement with previous results. Our code will be publicly
available as part of the parton level Monte Carlo program VBFNLO.


title: On optimal control problems with impulsive commutative dynamics

abstract:
  We consider control systems governed by nonlinear O.D.E.'s that are affine in
the time-derivative du/dt of the control u. The latter is allowed to be an
integrable, possibly of unbounded variation function, which gives the system an
impulsive character. As is well-known, the corresponding Cauchy problem cannot
be interpreted in terms of Schwartz distributions, even in the commutative
case. A robust notion of solution already proposed in the literature is here
adopted and slightly generalized to the case where an ordinary, bounded,
control is present in the dynamics as well. For a problem in the Mayer form we
then investigate the question whether this notion of solution provides a
"proper extension" of the standard problem with absolutely continuous controls
u. Furthermore, we show that this impulsive problem is a variational limit of
problems corresponding to controls u with bounded variation.


title: Hilditchs Algorithm Based Tamil Character Recognition

abstract:
  Character identification plays a vital role in the contemporary world of
Image processing. It can solve many composite problems and makes humans work
easier. An instance is Handwritten Character detection. Handwritten recognition
is not a novel expertise, but it has not gained community notice until Now. The
eventual aim of designing Handwritten Character recognition structure with an
accurateness rate of 100% is pretty illusionary. Tamil Handwritten Character
recognition system uses the Neural Networks to distinguish them. Neural Network
and structural characteristics are used to instruct and recognize written
characters. After training and testing the exactness rate reached 99%. This
correctness rate is extremely high. In this paper we are exploring image
processing through the Hilditch algorithm foundation and structural
characteristics of a character in the image. And we recognized some character
of the Tamil language, and we are trying to identify all the character of Tamil
In our future works.


title: Spectra of a class of non-self-adjoint matrices

abstract:
  We consider a new class of non-self-adjoint matrices that arise from an
indefinite self-adjoint linear pencil of matrices, and obtain the spectral
asymptotics of the spectra as the size of the matrices diverges to infinity. We
prove that the spectrum is qualitatively different when a certain parameter $c$
equals $0$, and when it is non-zero, and that certain features of the spectrum
depend on Diophantine properties of $c$.


title:
Random generators of the symmetric group: diameter, mixing time and
  spectral gap

abstract:
  Let $g$, $h$ be a random pair of generators of $G=Sym(n)$ or $G=Alt(n)$. We
show that, with probability tending to $1$ as $n\to \infty$, (a) the diameter
of $G$ with respect to $S = \{g,h,g^{-1},h^{-1}\}$ is at most $O(n^2 (\log
n)^c)$, and (b) the mixing time of $G$ with respect to $S$ is at most $O(n^3
(\log n)^c)$. (Both $c$ and the implied constants are absolute.)
  These bounds are far lower than the strongest worst-case bounds known (in
Helfgott--Seress, 2013); they roughly match the worst known examples. We also
give an improved, though still non-constant, bound on the spectral gap.
  Our results rest on a combination of the algorithm in (Babai--Beals--Seress,
2004) and the fact that the action of a pair of random permutations is almost
certain to act as an expander on $\ell$-tuples, where $\ell$ is an arbitrary
constant (Friedman et al., 1998).


title:
A study on baryons spectroscopy using digamma-function as interacting
  potential

abstract:
  In the present work, the interacting potential form between quarks inside a
baryon is taken to be proportional to the digamma-function. Using the
Jacobi-coordinates the three body wave equation is solved to calculate the
different states of the considered baryons. The present model contains only two
adjustable parameters in addition to the quark masses. Our theoretical
calculations are compared to the available experimental data and Cornelll
potential calculations. The present potential model calculations show a
satisfied agreement in case of investigated the resonance masses of the
considered baryons. One can conclude that; the interaction between the quark
constituents of baryon systems could be described adequately by using the
considered simple potential form.


title:
Conditions for Primitivity of unital amalgamated full free products of
  finite dimensional C*-algebras

abstract:
  We consider amalgamated unital full free products of the form $A_1*_DA_2$,
where $A_1, A_2$ and $D$ are finite dimensional C*-algebras and there are
faithful traces on $A_1$ and $A_2$ whose restrictions to $D$ agree. We provide
several conditions on the matrices of partial multiplicities of the inclusions
$D\hookrightarrow A_1$ and $D\hookrightarrow A_2$ that guarantee that the
C*-algebra $A_1*_DA_2$ is primitive. If the ranks of the matrices of partial
multiplicities are one, we prove that the algebra $A_1*_DA_2$ is primitive if
and only if it has a trivial center.


title: Effective lattice Polyakov loop theory for finite temperature Yang-Mills

abstract:
  Effective Polyakov loop theories are a useful tool for an investigation of
pure Yang-Mills theory and full QCD. A systematic derivation of the effective
action can be done in a spatial strong coupling expansion. Quite accurate
predictions for the deconfinement phase transition of Yang-Mills theory have
been obtained in this approach. Besides the critical couplings, further
observables can be measured in the effective theory. These provide additional
tests for the reliability of the strong coupling approach and the truncation of
the effective action. In this contribution we will present recent results for
the free energy of the static quark-antiquark pair and the equation of state.


title:
Maximal zero textures of the inverse seesaw with broken $\mu\tau$
  symmetry

abstract:
  The inverse neutrino seesaw, characterised by only one source of lepton
number violation at an ultralight $O$(keV) scale and observable new phenomena
at TeV energies accessible to the LHC, is considered. Maximal zero textures of
the $3\times 3$ lighter and heavier Dirac mass matrices of neutral leptons,
appearing in the Lagarangian for such an inverse seesaw, are studied within the
framework of $\mu\tau$ symmetry in a specified weak basis. That symmetry
ensures the identity of the positions of maximal zeros of the heavy neutrino
mass matrix and its inverse. It then suffices to study the maximal zeros of the
lighter Dirac mass matrix and those of the inverse of the heavier one since
they come in a product. The observed absence of any unmixed neutrino flavour
and the assumption of no strictly massless physical neutrino state allow only
eight $4$-zero $\times$ $4$-zero, eight $4$-zero $\times$ $6$-zero and eight
$6$-zero $\times$ $4$-zero combinations. The additional requirement of
leptogenesis is shown to eliminate the last sixteen textures. The surviving
eight $4$-zero $\times$ $4$-zero textures are subjected to the most general
explicit $\mu\tau$ symmetry breaking terms in the Lagrangian in order to
accommodate the nonzero value of $\theta_{13}$ in the observed range. A full
diagonalisation is then carried out. On numerical comparison with all extant
and relevant neutrino (antineutrino) data, seven of these eight combination
textures in five neutrino matrix forms are found to be allowed, leading to five
distinct neutrino mass matrices. Two of these permit only a normal (and the
other three only an inverted) mass ordering of the light neutrinos.


title: Multilinear Embedding and Hardy's Inequality

abstract:
  Multilinear trace restriction inequalities are obtained for Hardy's
inequality. More generally, detailed development is given for new multilinear
forms for Young's convolution inequality, and a new proof for the multilinear
Hardy-Littlewood-Sobolev inequality, and its realization on hyperbolic space.


title:
Estimates of threshold and strength of percolation clusters on square
  lattices with (1,d)-neighborhood

abstract:
  In this paper we consider statistical estimates of threshold and strength of
percolation clusters on square lattices. The percolation threshold $p_c$ and
the strength of percolation clusters $P_\infty$ for a square lattice with $(1,
d)$-neighborhood depends not only on the lattice dimension, but also on the
Minkowski exponent $d$. To estimate the strength of percolation clusters
$P_\infty$ proposed a new method of averaging the relative frequencies of the
target subset of lattice sites. The implementation of this method is based on
the SPSL package, released under GNU GPL-3 using the free programming language
R.


title: On the stability of Einstein manifolds

abstract:
  Certain curvature conditions for stability of Einstein manifolds with respect
to the Einstein-Hilbert action are given. These conditions are given in terms
of quantities involving the Weyl tensor and the Bochner tensor. In dimension
six, a stability criterion involving the Euler characteristic is given.


title:
Spin-orbit coupling and chaotic rotation for coorbital bodies in
  quasi-circular orbits

abstract:
  Coorbital bodies are observed around the Sun sharing their orbits with the
planets, but also in some pairs of satellites around Saturn. The existence of
coorbital planets around other stars has also been proposed. For close-in
planets and satellites, the rotation slowly evolves due to dissipative tidal
effects until some kind of equilibrium is reached. When the orbits are nearly
circular, the rotation period is believed to always end synchronous with the
orbital period. Here we demonstrate that for coorbital bodies in quasi-circular
orbits, stable non-synchronous rotation is possible for a wide range of mass
ratios and body shapes. We show the existence of an entirely new family of
spin-orbit resonances at the frequencies $n\pm k\nu/2$, where $n$ is the
orbital mean motion, $\nu$ the orbital libration frequency, and $k$ an integer.
In addition, when the natural rotational libration frequency due to the axial
asymmetry, $\sigma$, has the same magnitude as $\nu$, the rotation becomes
chaotic. Saturn coorbital satellites are synchronous since $\nu\ll\sigma$, but
coorbital exoplanets may present non-synchronous or chaotic rotation. Our
results prove that the spin dynamics of a body cannot be dissociated from its
orbital environment. We further anticipate that a similar mechanism may affect
the rotation of bodies in any mean-motion resonance.


title: Stiffness modeling of robotic manipulator with gravity compensator

abstract:
  The paper focuses on the stiffness modeling of robotic manipulators with
gravity compensators. The main attention is paid to the development of the
stiffness model of a spring-based compensator located between sequential links
of a serial structure. The derived model allows us to describe the compensator
as an equivalent non-linear virtual spring integrated in the corresponding
actuated joint. The obtained results have been efficiently applied to the
stiffness modeling of a heavy industrial robot of the Kuka family.


title:
The Role of Plasma Instabilities in the Propagation of Gamma-Rays from
  Distant Blazars

abstract:
  The observation in the GeV band of distant blazars has been recently used to
put constraints on the Extragalactic Background Light (EBL) and Extragalactic
Magnetic Fields (EGMF). To support such claims one has to assume that the
leptonic component of the electromagnetic cascade initiated by blazar
gamma-rays is deflected away by strong enough EGMF, suppressing the signal in
the Fermi window. Apart from magnetic fields, the development of such a cascade
might be affected by plasma instabilities due to interactions with the ionized
component of the Intergalactic Medium (IGM). In this paper we model the
electromagnetic cascade through a Monte Carlo simulation in which both effects
are taken into account separately, and we derive constraints on these scenarios
from the combined Fermi-HESS data set. In the specific case of 1ES 0229+200
observations, we show that both explanations of the GeV flux suppression are
compatible with the available data, specifically by assuming a magnetic field
of $B \gtrsim 10^{-16}\,\rm{G}$ or an IGM temperature of $T \lesssim 5 \times
10^{4}\,\rm{K}$ along the line of sight. Future observations of the spectra of
high redshift ($z\lesssim 1$) TeV objects will help to distinguish magnetic
field and plasma effects on electromagnetic cascades in the IGM.


title:
Specific features of band structure and optical anisotropy of Cu2CdGeSe4
  quaternary compounds

abstract:
  The complex theoretical and experimental studies of the band structure and
the optical functions of the Cu2CdGeSe4 quaternary crystals are reported. The
benchmark band structure calculations were performed using the first-principles
methods. As a result, the structural, electronic, optical and elastic
properties of Cu2CdGeSe4 were calculated in the general gradient approximation
(GGA) and local density approximation (LDA). The calculated dielectric function
and optical absorption spectra exhibit some anisotropic behavior. Detailed
analysis of the band energy dispersion and the effective space charge density
helped in establishing the origin of the band structure anisotropy. All
calculated properties are compared with the experimental data. An additional
comparison with a similar crystal of Cu2CdGeSe4 allowed to reveal the role
played by the anions (S or Se) in formation of the optical properties of these
two materials.


title:
Spreading huge free software without internet connection, via
  self-replicating USB keys

abstract:
  We describe and discuss an affordable way to spread huge software without
relying on internet connection, via the use of self-replicating live USB keys.


title: The adaptive patched particle filter and its implementation

abstract:
  There are numerous contexts where one wishes to describe the state of a
randomly evolving system. Effective solutions combine models that quantify the
underlying uncertainty with available observational data to form relatively
optimal estimates for the uncertainty in the system state. Stochastic
differential equations are often used to mathematically model the underlying
system. The Kusuoka-Lyons-Victoir (KLV) approach is a higher order particle
method for approximating the weak solution of a stochastic differential
equation that uses a weighted set of scenarios to approximate the evolving
probability distribution to a high order of accuracy. The algorithm can be
performed by integrating along a number of carefully selected bounded variation
paths and the iterated application of the KLV method has a tendency for the
number of particles to increase. Together with local dynamic recombination that
simplifies the support of discrete measure without harming the accuracy of the
approximation, the KLV method becomes eligible to solve the filtering problem
for which one has to maintain an accurate description of the ever-evolving
conditioned measure. Besides the alternate application of the KLV method and
recombination for the entire family of particles, we make use of the smooth
nature of likelihood to lead some of the particles immediately to the next
observation time and to build an algorithm that is a form of automatic high
order adaptive importance sampling.