title: Strong chromatic index of chordless graphs

abstract:
  A strong edge colouring of a graph is an assignment of colours to the edges
of the graph such that for every colour, the set of edges that are given that
colour form an induced matching in the graph. The strong chromatic index of a
graph $G$, denoted by $\chi'_s(G)$, is the minimum number of colours needed in
any strong edge colouring of $G$. A graph is said to be \emph{chordless} if
there is no cycle in the graph that has a chord. Faudree, Gy\'arf\'as, Schelp
and Tuza~[The Strong Chromatic Index of Graphs, Ars Combin., 29B (1990),
pp.~205--211] considered a particular subclass of chordless graphs, namely the
class of graphs in which all the cycle lengths are multiples of four, and asked
whether the strong chromatic index of these graphs can be bounded by a linear
function of the maximum degree. Chang and Narayanan~[Strong Chromatic Index of
2-degenerate Graphs, J. Graph Theory, 73(2) (2013), pp.~119--126] answered this
question in the affirmative by proving that if $G$ is a chordless graph with
maximum degree $\Delta$, then $\chi'_s(G) \leq 8\Delta -6$. We improve this
result by showing that for every chordless graph $G$ with maximum degree
$\Delta$, $\chi'_s(G)\leq 3\Delta$. This bound is tight up to to an additive
constant.


title: On linear topological spaces (linearly) homeomorphic to $R^\infty$

abstract:
  We prove that every infinite-dimensional (locally convex) linear topological
space that can be expressed as a direct limit of finite-dimensional metrizable
compacta is (linearly) homeomorphic to the space $R^\infty=\dlim R^n$.


title:
Asymptotic symmetries and thermodynamics of higher spin black holes in
  AdS3

abstract:
  We study black holes carrying higher spin charge in AdS3 within the framework
of SL(N, R) x SL(N, R) Chern-Simons theory. Focussing attention on the N=4
case, we explicitly analyze the asymptotic symmetry algebra of black hole
solutions with a chemical potential for spin-four charge. We demonstrate that
the background describes an RG flow between an IR fixed point with W_4 symmetry
and a UV fixed point with W-symmetry associated to a non-principal embedding of
sl(2) in sl(4). Matching Chern-Simons equations with Ward identities of the
deformed CFT, we show that the UV stress tensor is twisted by a certain U(1)
current, and the flow is triggered by an operator with dimension 4/3 at the UV
fixed point. We find independent confirmation of this picture via a consistent
formulation of thermodynamics with respect to this UV fixed point. We further
analyze the thermodynamics of multiple branches of black hole solutions for
N=4,5 and find that the BTZ-branch, dominant at low temperatures, ceases to
exist at higher temperatures following a merger with a thermodynamically
unstable branch. We also point out an interesting connection between the RG
flows and generalized KdV hierarchies.


title:
Entanglement Classification of Restricted Greenberger-Horne-Zeilinger
  Symmetric States in Four-Qubit System

abstract:
  Similar to the three-qubit Greenberger-Horne-Zeilinger (GHZ) symmetry we
explore the four-qubit GHZ symmetry group and its subgroup called restricted
GHZ symmetry group. While the set of symmetric states under the whole group
transformation is represented by three real parameters, the set of symmetric
states under the subgroup transformation is represented by two real parameters.
After comparing the symmetric states for whole and subgroup, the entanglement
is examined for the latter set. It is shown that the set has only two SLOCC
classes, $L_{abc_2}$ and $G_{abcd}$. Extension to the multi-qubit system is
briefly discussed.


title:
Monte Carlo implementation of a guiding-center Fokker-Planck kinetic
  equation

abstract:
  A Monte Carlo method for the collisional guiding-center Fokker-Planck kinetic
equation is derived to include the effects of background magnetic-field
nonuniformity. It is shown that, in the limit of a homogeneous magnetic field,
the guiding-center Monte Carlo collision operators reduce to the standard
Coulomb operators. The coefficients required for the implementation of the
method are also given.


title: Quantum Confinement and Negative Heat Capacity

abstract:
  Thermodynamics dictates that the specific heat of a system is strictly
non-negative. However, in finite classical systems there are well known
theoretical and experimental cases where this rule is violated, in particular
finite atomic clusters. Here, we show for the first time that negative heat
capacity can also occur in finite quantum systems. The physical scenario on
which this effect might be experimentally observed is discussed. Observing such
an effect might lead to the design of new light harvesting nano devices, in
particular a solar nano refrigerator.


title:
Minors of a Class of Riordan Arrays Related to Weighted Partial Motzkin
  Paths

abstract:
  A partial Motzkin path is a path from $(0, 0)$ to $(n, k)$ in the $XOY$-plane
that does not go below the $X$-axis and consists of up steps $U=(1, 1)$, down
steps $D=(1, -1)$ and horizontal steps $H=(1, 0)$. A weighted partial Motzkin
path is a partial Motzkin path with the weight assignment that all up steps and
down steps are weighted by 1, the horizontal steps are endowed with a weight
$x$ if they are lying on $X$-axis, and endowed with a weight $y$ if they are
not lying on $X$-axis. Denote by $M_{n,k}(x, y)$ to be the weight function of
all weighted partial Motzkin paths from $(0, 0)$ to $(n, k)$, and
$\mathcal{M}=(M_{n,k}(x,y))_{n\geq k\geq 0}$ to be the infinite lower
triangular matrices. In this paper, we consider the sums of minors of second
order of the matrix $\mathcal{M}$, and obtain a lot of interesting determinant
identities related to $\mathcal{M}$, which are proved by bijections using
weighted partial Motzkin paths. When the weight parameters $(x, y)$ are
specialized, several new identities are obtained related to some classical
sequences involving Catalan numbers. Besides, in the alternating cases we also
give some new explicit formulas for Catalan numbers.


title:
Stability analysis of fluid flows using Lagrangian Perturbation Theory
  (LPT): application to the plane Couette flow

abstract:
  We present a new application of Lagrangian Perturbation Theory (LPT): the
stability analysis of fluid flows. As a test case that demonstrates the
framework we focus on the plane Couette flow. The incompressible Navier-Stokes
equation is recast such that the particle position is the fundamental variable,
expressed as a function of Lagrangian coordinates. The displacement due to the
steady state flow is taken to be the zeroth order solution and the position is
formally expanded in terms of a small parameter (generally, the strength of the
initial perturbation). The resulting hierarchy of equations is solved
analytically at first order. We find that we recover the standard result in the
Eulerian frame: the plane Couette flow is asymptotically stable for all
Reynolds numbers. However, it is also well established that experiments
contradict this prediction. In the Eulerian picture, one of the proposed
explanations is the phenomenon of `transient growth' which is related to the
non-normal nature of the linear stability operator. The first order solution in
the Lagrangian frame also shows this feature, albeit qualitatively. As a first
step, and for the purposes of analytic manipulation, we consider only linear
stability of 2D perturbations but the framework presented is general and can be
extended to higher orders, other flows and/or 3D perturbations.


title: Four transformations on the Catalan triangle

abstract:
  In this paper, we define four transformations on the classical Catalan
triangle $\mathcal{C}=(C_{n,k})_{n\geq k\geq 0}$ with
$C_{n,k}=\frac{k+1}{n+1}\binom{2n-k}{n}$. The first three ones are based on the
determinant and the forth is utilizing the permanent of a square matrix. It not
only produces many known and new identities involving Catalan numbers, but also
provides a new viewpoint on combinatorial triangles.


title: Anderson localization in an interacting fermionic system

abstract:
  In the present article, we discuss the role played by the interaction in the
Anderson localization problem, for a system of interacting fermions in a
one-dimensional disordered lattice, described by the Fermi Hubbard Hamiltonian,
in presence of an on-site random potential. We show that, given the proper
identification of the elementary excitations of the system described in terms
of doublons and unpaired particles, the Anderson localization picture survives.
Ensuing a "global quench", we show that the system exhibits a rich localization
scenario, which can be ascribed to the nearly-free dynamics of the elementary
excitations of the Hubbard Hamiltonian.


title: Dual and anti-dual modes in dielectric spheres

abstract:
  We present how the angular momentum of light can play an important role to
induce a dual or anti-dual behaviour on a dielectric particle. Although the
material the particle is made of is not dual, i.e. a dielectric does not
interact with an electrical field in the same way as it does with a magnetic
one, a spherical particle can behave as a dual system when the correct
excitation beam is chosen. We study the conditions under which this induced
dual or anti-dual behaviour can be induced.


title: Precursor of Inflation

abstract:
  We investigate a nonsingular initial state of the Universe which leads to
inflation naturally. The model is described by a scalar field with a quadratic
potential in Eddington-inspired Born-Infeld gravity. The curvature of this
initial state is given by the mass scale of the scalar field which is much
smaller than the Planck scale. Therefore, in this model, quantum gravity is not
necessary in understanding this pre-inflationary stage, no matter how large the
energy density becomes. The initial state in this model evolves eventually to a
long inflationary period which is similar to the usual chaotic inflation.


title:
Efficient error models for fault-tolerant architectures and the Pauli
  twirling approximation

abstract:
  The design and optimization of realistic architectures for fault-tolerant
quantum computation requires error models that are both reliable and amenable
to large-scale classical simulation. Perhaps the simplest and most practical
general-purpose method for constructing such an error model is to twirl a given
completely positive channel over the Pauli basis, a procedure we refer to as
the Pauli twirling approximation (PTA). In this work we test the accuracy of
the PTA for a small stabilizer measurement circuit relevant to fault-tolerant
quantum computation, in the presence of both intrinsic gate errors and
decoherence, and find excellent agreement over a wide range of physical error
rates. The combined simplicity and accuracy of the PTA, along with its direct
connection to the chi matrix of process tomography, suggests that it be used as
a standard reference point for more refined error model constructions.


title:
Comparison of different approaches of finding the positive definite
  metric in pseudo-Hermitian theories

abstract:
  To develop a unitary quantum theory with probabilistic description for
pseudo- Hermitian systems one needs to consider the theories in a different
Hilbert space endowed with a positive definite metric operator. There are
different approaches to find such metric operators. We compare the different
approaches of calculating pos- itive definite metric operators in
pseudo-Hermitian theories with the help of several explicit examples in
non-relativistic as well as in relativistic situations. Exceptional points and
spontaneous symmetry breaking are also discussed in these models.


title: Quantum marginal inequalities and the conjectured entropic inequalities

abstract:
  A conjecture -- \emph{the modified super-additivity inequality} of relative
entropy -- was proposed in \cite{Zhang2012}: There exist three unitary
operators $U_A\in \unitary{\cH_A},U_B\in \unitary{\cH_B}$, and $U_{AB}\in
\unitary{\cH_A\ot \cH_B}$ such that $$
\rS(U_{AB}\rho_{AB}U^\dagger_{AB}||\sigma_{AB}) \geqslant
\rS(U_A\rho_AU^\dagger_A||\sigma_A) + \rS(U_B\rho_BU^\dagger_B||\sigma_B), $$
where the reference state $\sigma$ is required to be full-ranked. A numerical
study on the conjectured inequality is conducted in this note. The results
obtained indicate that the modified super-additivity inequality of relative
entropy seems to hold for all qubit pairs.


title: Superconductivity in Tetragonal LaPt_{2-x}Ge_{2+x}

abstract:
  We find that a tetragonal CaBe_2Ge_2-type structure can be stabilized in
non-stoichiometric LaPt_{2-x}Ge_{2+x}. We further discovered that tetragonal
LaPt_{2-x}Ge_{2+x} with x=0.15 and 0.2 respectively superconduct at Tc=1.85 K
and 1.95 K, which is about four time higher than that in monoclinic LaPt_2Ge_2.


title:
Minimal spanning tree algorithm for gamma-ray source detection in sparse
  photon images: cluster parameters and selection strategies

abstract:
  The minimal spanning tree (MST) algorithm is a graph-theoretical
cluster-finding method. We previously applied it to gamma-ray bidimensional
images, showing that it is quite sensitive in finding faint sources. Possible
sources are associated with the regions where the photon arrival directions
clusterize. MST selects clusters starting from a particular "tree" connecting
all the point of the image and performing a cut based on the angular distance
between photons, with a number of events higher than a given threshold. In this
paper, we show how a further filtering, based on some parameters linked to the
cluster properties, can be applied to reduce spurious detections. We find that
the most efficient parameter for this secondary selection is the magnitude M of
a cluster, defined as the product of its number of events by its clustering
degree. We test the sensitivity of the method by means of simulated and real
Fermi-Large Area Telescope (LAT) fields. Our results show that sqrt(M) is
strongly correlated with other statistical significance parameters, derived
from a wavelet based algorithm and maximum likelihood (ML) analysis, and that
it can be used as a good estimator of statistical significance of MST
detections. We apply the method to a 2-year LAT image at energies higher than 3
GeV, and we show the presence of new clusters, likely associated with BL Lac
objects.


title:
Comparison of nonhomogeneous regression models for probabilistic wind
  speed forecasting

abstract:
  In weather forecasting, nonhomogeneous regression is used to statistically
postprocess forecast ensembles in order to obtain calibrated predictive
distributions. For wind speed forecasts, the regression model is given by a
truncated normal distribution where location and spread are derived from the
ensemble. This paper proposes two alternative approaches which utilize the
generalized extreme value (GEV) distribution. A direct alternative to the
truncated normal regression is to apply a predictive distribution from the GEV
family, while a regime switching approach based on the median of the forecast
ensemble incorporates both distributions. In a case study on daily maximum wind
speed over Germany with the forecast ensemble from the European Centre for
Medium-Range Weather Forecasts, all three approaches provide calibrated and
sharp predictive distributions with the regime switching approach showing the
highest skill in the upper tail.


title: Sum rule approach to a soft dipole mode in $\Lambda$ hypernuclei

abstract:
  Applying the sum rule approach, we investigate the energy of a soft dipole
motion in $\Lambda$ hypernuclei, which results from a dipole oscillation of a
$\Lambda$ hyperon against the core nucleus. To this end, we systematically
study single-$\Lambda$ hypernuclei, from $^{16}_{\;\,\Lambda}$O to
$^{208}_{\;\;\;\Lambda}$Pb, for which the ground state wave function is
obtained in the framework of Hartree-Fock method with several Skyrme-type
$\Lambda N$ interactions. Our results indicate that the excitation energy of
the soft dipole $\Lambda$ mode, $E_{sd\Lambda}$, decreases as the mass number
increases. We find that the excitation energy is well parametrized as
$E_{sd\Lambda}=26.6A^{-1/3}+11.2A^{-2/3}$ MeV as a function of mass number $A$.


title: On some mean value results for the zeta-function in short intervals

abstract:
  Let $\Delta(x)$ denote the error term in the Dirichlet divisor problem, and
let $E(T)$ denote the error term in the asymptotic formula for the mean square
of $|\zeta(1/2+it)|$. If $E^*(t) := E(t) - 2\pi\Delta^*(t/(2\pi))$ with
$\Delta^*(x) :=
  -\Delta(x) + 2\Delta(2x) - \frac{1}{2}\Delta(4x)$ and
  $\int_0^T E^*(t)\,dt = \frac{3}{4}\pi T + R(T)$, then we obtain a number of
results involving the moments of $|\zeta(1/2+it)|$ in short intervals, by
connecting them to the moments of $E^*(T)$ and $R(T)$ in short intervals. Upper
bounds and asymptotic formulas for integrals of the form $$
\int_T^{2T}\left(\int_{t-H}^{t+H}|\zeta(1/2+iu)|^2\,du\right)^k\,dt \qquad(k\in
N, 1 \ll H \le T) $$ are also treated.


title: Soft gravitational effects in Kadanoff-Baym approach

abstract:
  In de Sitter space, the gravitational fluctuation at the super-horizon scale
may make physical quantities time dependent by breaking the de Sitter symmetry.
We adopt the Kadanoff-Baym approach to evaluate soft gravitational effects in a
matter system at the sub-horizon scale. This investigation proves that only the
local terms contribute to the de Sitter symmetry breaking at the one-loop
level. The IR singularities in the non-local terms cancel after summing over
degenerate states between real and virtual processes. The corresponding IR
cut-off is given by the energy resolution like QED. Since the energy resolution
is physical and independent of cosmic evolution, the non-local contributions do
not induce the de Sitter symmetry breaking. We can confirm that soft
gravitational effects preserve the effective Lorentz invariance.


title: Bulk asymptotics for polyanalytic correlation kernels

abstract:
  We study reproducing kernels of weighted spaces of polyanalytic polynomials
on the complex plane. The results include a universality result concerning
local blow-ups of the kernels near so called bulk points as well as an
off-diagonal decay estimate.


title:
An existence result for a class of quasilinear elliptic eigenvalue
  problems in unbounded domains

abstract:
  We consider a nonlinear eigenvalue problem under Robin boundary conditions in
a domain with (possibly noncompact) smooth boundary. The problem involves a
weighted p-Laplacian operator and subcritical nonlinearities satisfying
Ambrosetti-Rabinowitz type conditions. Using Morse theory and a cohomological
local splitting as in Degiovanni et al. [5], we prove the existence of a
nontrivial weak solution for all (real) values of the eigenvalue parameter. Our
result is new even in the semilinear case p = 2 and complements some recent
results obtained in Autuori et al. [1].


title: Condensation and jumping relay of droplets on lotus leaf

abstract:
  Dynamic behavior of micro water droplet condensed on a lotus leaf with
two-tier roughness is studied. Under laboratory environment, the contact angle
of the micro droplet on single micro papilla increases smoothly from 80 deg to
160 deg during the growth of condensed water. The best-known "self-clean"
phenomenon, will be lost. A striking observation is the out-of-plane jumping
relay of condensed droplets triggered by falling droplets, as well as its
sustained speed obtained in continuous jumping relays, enhance the automatic
removal of dropwise condensation without the help from any external force. The
surface tension energy dissipation is the main reason controlling the critical
size of jumping droplet and its onset velocity of rebounding.


title:
A criterion for the simplicity of the Lyapunov spectrum of square-tiled
  surfaces

abstract:
  We present a Galois-theoretical criterion for the simplicity of the Lyapunov
spectrum of the Kontsevich-Zorich cocycle over the Teichmueller flow on the
$SL_2(R)$-orbit of a square-tiled surface. The simplicity of the Lyapunov
spectrum has been proved by A. Avila and M. Viana with respect to the so-called
Masur-Veech measures associated to connected components of moduli spaces of
translation surfaces, but is not always true for square-tiled surfaces of genus
$\geq 3$. We apply our criterion to square-tiled surfaces of genus 3 with one
single zero. Conditionally to a conjecture of Delecroix and Leli\`evre, we
prove with the aid of Siegel's theorem (on integral points on algebraic curves
of genus $>0$) that all but finitely many such square-tiled surfaces have
simple Lyapunov spectrum.


title:
Hausdorff and packing spectra, large deviations, and free energy for
  branching random walks in $\R^d$

abstract:
  Consider an $\R^d$-valued branching random walk (BRW) on a supercritical
Galton Watson tree. Without any assumption on the distribution of this BRW we
compute, almost surely and simultaneously, the Hausdorff and packing dimensions
of the level sets $E(K)$ of infinite branches in the boundary of the tree
(endowed with its standard metric) along which the averages of the BRW have a
given closed connected set of limit points $K$. This goes beyond multifractal
analysis, which only considers those level sets when $K$ ranges in the set of
singletons $\{\alpha\}$, $\alpha\in\R^d$. We also give a $0$-$\infty$ law for
the Hausdorff and packing measures of the level sets $E(\{\alpha\})$, and
compute the free energy of the associated logarithmically correlated random
energy model in full generality. Moreover, our results complete the previous
works on multifractal analysis by including the levels $\alpha$ which do not
belong to the range of the gradient of the free energy. This covers in
particular a situation until now badly understood, namely the case where a
first order phase transition occurs. As a consequence of our study, we can also
describe the whole singularity spectrum of Mandelbrot measures, as well as the
associated free energy function (or $L^q$-spectrum), when a first order phase
transition occurs.


title:
A method for the separation and reconstructions of charged hadron and
  neutral hadron from their overlapped showers in electromagnetic calorimeter

abstract:
  The separation and reconstructions of charged hadron and neutral hadron from
their overlapped showers in electromagnetic calorimeter is very important for
the reconstructions of some particles with hadronic decays, for example the tau
reconstruction in the searches for the Standard Model and supersymmetric Higgs
bosons at the LHC. In this paper, a method combining the shower cluster in
electromagnetic calorimeter and the parametric formula for hadron showers, was
developed to separate the overlapped showers between charged hadron and neutral
hadron. Taking the hadronic decay containing one charged pion and one neutral
pion in the final status of tau for example, satisfied results of the
separation of the overlapped showers, the reconstructions of the energy and
positions of the hadrons were obtained. An improved result for the tau
reconstruction with this decay model can be also achieved after the application
of the proposed method.


title:
On exponential stability for linear discrete-time systems in Banach
  spaces

abstract:
  In this paper we investigate four concepts of exponential stability for
difference equations in Banach spaces. Characterizations of these concepts are
given. They can be considered as variants for the discrete-time case of the
classical results due to E.A. Barbashin [2] and R. Datko [5]. An illustrative
example clarifies the relations between these concepts.


title: Magnetic Field Control of the Optical Spin Hall Effect

abstract:
  We investigate theoretically the effect of an external magnetic field on
polarization patterns appearing in quantum microcavities due to the optical
spin Hall effect (OSHE). We show that increase of the magnetic field
perpendicular to the plane of the cavity resulting in the increase of the
Zeeman splitting leads to the transition from azimuthal separation of
polarizations to their radial separation. This effect can be straightforwardly
detected experimentally.


title: A Rank Minrelation - Majrelation Coefficient

abstract:
  Improving the detection of relevant variables using a new bivariate measure
could importantly impact variable selection and large network inference
methods. In this paper, we propose a new statistical coefficient that we call
the rank minrelation coefficient. We define a minrelation of X to Y (or
equivalently a majrelation of Y to X) as a measure that estimate p(Y > X) when
X and Y are continuous random variables. The approach is similar to Lin's
concordance coefficient that rather focuses on estimating p(X = Y). In other
words, if a variable X exhibits a minrelation to Y then, as X increases, Y is
likely to increases too. However, on the contrary to concordance or
correlation, the minrelation is not symmetric. More explicitly, if X decreases,
little can be said on Y values (except that the uncertainty on Y actually
increases). In this paper, we formally define this new kind of bivariate
dependencies and propose a new statistical coefficient in order to detect those
dependencies. We show through several key examples that this new coefficient
has many interesting properties in order to select relevant variables, in
particular when compared to correlation.


title: On the reduction of the CSP dichotomy conjecture to digraphs

abstract:
  It is well known that the constraint satisfaction problem over general
relational structures can be reduced in polynomial time to digraphs. We present
a simple variant of such a reduction and use it to show that the algebraic
dichotomy conjecture is equivalent to its restriction to digraphs and that the
polynomial reduction can be made in logspace. We also show that our reduction
preserves the bounded width property, i.e., solvability by local consistency
methods. We discuss further algorithmic properties that are preserved and
related open problems.


title: Planar massless fermions in Coulomb and Aharonov-Bohm potentials

abstract:
  Solutions to the Dirac equation are constructed for a massless charged
fermion in Coulomb and Aharonov--Bohm potentials in 2+1 dimensions. The Dirac
Hamiltonian on this background is singular and needs a one-parameter
self-adjoint extension, which can be given in terms of self-adjoint boundary
conditions. We show that the virtual (quasistationary) bound states emerge in
the presence of an attractive Coulomb potential when the so-called effective
charges become overcritical and discuss a restructuring of the vacuum of the
quantum electrodynamics when the virtual bound states emerge. We derive
equations, which determine the energies and lifetimes of virtual bound states,
find solutions of obtained equations for some values of parameters as well as
analyze the local density of states as a function of energy in the presence of
Coulomb and Aharonov--Bohm potentials.


title:
A well-conditioned collocation method using pseudospectral integration
  matrix

abstract:
  In this paper, a well-conditioned collocation method is constructed for
solving general $p$-th order linear differential equations with various types
of boundary conditions. Based on a suitable Birkhoff interpolation, we obtain a
new set of polynomial basis functions that results in a collocation scheme with
two important features: the condition number of the linear system is
independent of the number of collocation points; and the underlying boundary
conditions are imposed exactly. Moreover, the new basis leads to exact inverse
of the pseudospectral differentiation matrix (PSDM) of the highest derivative
(at interior collocation points), which is therefore called the pseudospectral
integration matrix (PSIM). We show that PSIM produces the optimal integration
preconditioner, and stable collocation solutions with even thousands of points.


title:
Balancing experiments on a torque-controlled humanoid with hierarchical
  inverse dynamics

abstract:
  Recently several hierarchical inverse dynamics controllers based on cascades
of quadratic programs have been proposed for application on torque controlled
robots. They have important theoretical benefits but have never been
implemented on a torque controlled robot where model inaccuracies and real-time
computation requirements can be problematic. In this contribution we present an
experimental evaluation of these algorithms in the context of balance control
for a humanoid robot. The presented experiments demonstrate the applicability
of the approach under real robot conditions (i.e. model uncertainty, estimation
errors, etc). We propose a simplification of the optimization problem that
allows us to decrease computation time enough to implement it in a fast torque
control loop. We implement a momentum-based balance controller which shows
robust performance in face of unknown disturbances, even when the robot is
standing on only one foot. In a second experiment, a tracking task is evaluated
to demonstrate the performance of the controller with more complicated
hierarchies. Our results show that hierarchical inverse dynamics controllers
can be used for feedback control of humanoid robots and that momentum-based
balance control can be efficiently implemented on a real robot.


title:
On the Construction and Malliavin Differentiability of Levy Noise Driven
  SDEs with Singular Coefficients

abstract:
  In this paper we introduce a new technique to construct unique strong
solutions of SDEs with singular coefficients driven by certain Levy processes.
Our method which is based on Malliavin calculus does not rely on a pathwise
uniqueness argument. Furthermore, the approach, which provides a direct
construction principle, grants the additional insight that the obtained
solutions are Malliavin differentiable.


title: Conjugacy in Houghton's Groups

abstract:
  Let $n\in \mathbb{N}$. Houghton's group $H_n$ is the group of permutations of
$\{1,\dots, n\}\times \mathbb{N}$, that eventually act as a translation in each
copy of $\mathbb{N}$. We prove the solvability of the conjugacy problem and
conjugator search problem for $H_n$, $n\geq 2$.


title:
Phonon anomaly and anisotropic superconducting gap in
  non-centrosymmetric Li2(Pd1-xPtx)3B

abstract:
  We report the systematic investigation of the specific heat of the
noncentrosymmetric supercon- ductor Li2(Pd1-xPtx)3B as a function of x. There
is a large deviation of the phononic specific heat from the conventional Debye
specific heat for Pt-rich samples. In contrast with the fully-gapped con-
ventional behavior for small x, a power-law temperature dependence of the
electronic specific heat is observed even at x = 0.5. This results manifest a
strongly-anisotropic or nodal superconducting gap even at x = 0.5 and a nodal
superconducting gap for x >~ 0.9.


title:
The shocked outflow in NGC 4051 - momentum-driven feedback, UFO's and
  warm absorbers

abstract:
  An extended XMM-Newton observation of the Seyfert 1 galaxy NGC 4051 in 2009
revealed an unusually rich absorption spectrum with outflow velocities, in both
RGS and EPIC spectra, up to ~ 9000 km/s (Pounds and Vaughan 2011). Evidence was
again seen for a fast ionised wind with velocity ~ 0.12c (Tombesi 2010, Pounds
and Vaughan 2012). Detailed modelling with the XSTAR photoionisation code now
confirms the general correlation of velocity and ionisation predicted by mass
conservation in a Compton-cooled shocked wind (King 2010). We attribute the
strong column density gradient in the model to the addition of strong two-body
cooling in the later stages of the flow, causing the ionisation (and velocity)
to fall more quickly, and confining the lower ionisation gas to a narrower
region. The column density and recombination timescale of the highly ionised
flow component, seen mainly in Fe K lines, determine the primary shell
thickness which, when compared with the theoretical Compton cooling length,
determines a shock radius of ~ 10^17 cm. Variable radiative recombination
continua (RRC) provide a key to scaling the lower ionisation gas, with the RRC
flux then allowing a consistency check on the overall flow geometry. We
conclude that the 2009 observation of NGC 4051 gives strong support to the idea
that a fast, highly ionised wind, launched from the vicinity of the
supermassive black hole, will lose much of its mechanical energy after shocking
against the ISM at a sufficiently small radius for strong Compton cooling.
However, the total flow momentum will be conserved, retaining the potential for
a powerful AGN wind to support momentum-driven feedback (King 2003; 2005). We
speculate that the `warm absorber' components often seen in AGN spectra result
from accumulation of shocked wind and ejected ISM.


title: Phenomenology of Partially Composite Standard Model

abstract:
  We propose a model to describe the low energy physics of partially composite
Standard Model, in which the electroweak sector in the Standard Model is weakly
coupled to some strong dynamics. The vector resonances in the strong sector are
introduced as the effective degrees of freedom, W' and Z', which mixes with the
W and Z bosons through the electroweak symmetry breaking. Through the coupling
to the strong sector, the Standard Model Higgs boson becomes partially
composite, and its properties are modified. We study the constraints from the
electroweak precision data and direct searches of W' and Z' at the LHC
expriments, and discuss the effects on the production/decay properties of the
Higgs boson.


title:
Low-temperature muon spin rotation studies of the monopole charges and
  currents in Y doped Ho2Ti2O7

abstract:
  In the ground state of Ho2Ti2O7 spin ice, the disorder of the magnetic
moments follows the same rules as the proton disorder in water ice. Excitations
take the form of magnetic monopoles that interact via a magnetic Coulomb
interaction. Muon spin rotation has been used to probe the low-temperature
magnetic behaviour in single crystal Ho2-xYxTi2O7 (x=0, 0.1, 1, 1.6 and 2). At
very low temperatures, a linear field dependence for the relaxation rate of the
muon precession lambda(B), that in some previous experiments on Dy2Ti2O7 spin
ice has been associated with monopole currents, is observed in samples with
x=0, and 0.1. A signal from the magnetic fields penetrating into the silver
sample plate due to the magnetization of the crystals is observed for all the
samples containing Ho allowing us to study the unusual magnetic dynamics of Y
doped spin ice.


title:
Experimental Observation of Localized Modes in a Dielectric Square
  Resonator

abstract:
  We investigated the frequency spectra and field distributions of a dielectric
square resonator in a microwave experiment. Since such systems cannot be
treated analytically, the experimental studies of their properties are
indispensable. The momentum representation of the measured field distributions
shows that all resonant modes are localized on specific classical tori of the
square billiard. Based on these observations a semiclassical model was
developed. It shows excellent agreement with all but a single class of measured
field distributions that will be treated separately.


title: Measurement of the CKM angle gamma from a combination of B->Dh analyses

abstract:
  A combination of three LHCb measurements of the CKM angle gamma is presented.
The decays B->DK and B->Dpi are used, where D denotes an admixture of D0 and
D0-bar mesons, decaying into K+K-, pi+pi-, K+-pi-+, K+-pi-+pi+-pi-+, KSpi+pi-,
or KSK+K- final states. All measurements use a dataset corresponding to 1.0
fb-1 of integrated luminosity. Combining results from B->DK decays alone a
best-fit value of gamma = 72.0 deg is found, and confidence intervals are set
gamma in [56.4,86.7] deg at 68% CL, gamma in [42.6,99.6] deg at 95% CL. The
best-fit value of gamma found from a combination of results from B->Dpi decays
alone, is gamma = 18.9 deg, and the confidence intervals gamma in [7.4,99.2]
deg or [167.9,176.4] deg at 68% CL, are set, without constraint at 95% CL. The
combination of results from B->DK and B->Dpi decays gives a best-fit value of
gamma = 72.6 deg and the confidence intervals gamma in [55.4,82.3] deg at 68%
CL, gamma in [40.2,92.7] deg at 95% CL are set. All values are expressed modulo
180 deg, and are obtained taking into account the effect of D0-D0bar mixing.


title:
Full counting statistics as a probe of quantum coherence in a
  side-coupled double quantum dot system

abstract:
  We study theoretically the full counting statistics of electron transport
through side-coupled double quantum dot (QD) based on an efficient
particle-number-resolved master equation. It is demonstrated that the
high-order cumulants of transport current are more sensitive to the quantum
coherence than the average current, which can be used to probe the quantum
coherence of the considered double QD system. Especially, the quantum coherence
plays a crucial role in determining whether the super-Poissonian noise occurs
in the weak inter-dot hopping coupling regime depending on the corresponding
dot-lead coupling, and the corresponding values of super-Poissonian noise can
be relatively enhanced when considering the spins of conduction electrons.
Moreover, this super-Poissonian noise bias range depends on the singly-occupied
eigenstates of the system, which thus suggests a tunable super-Poissonian noise
device. The occurrence-mechanism of super-Poissonian noise can be understood in
terms of the interplay of quantum coherence and effective competition between
fast-and-slow transport channels.


title: Genus 3 Mapping Class Groups are not Kahler

abstract:
  In this paper we prove that finite index subgroups of genus 3 mapping class
and Torelli groups that contain the group generated by Dehn twists on bounding
simple closed curves are not Kahler. These results are deduced from explicit
presentations of the unipotent (aka, Malcev) completion of genus 3 Torelli
groups and of the relative completions of genus 3 mapping class groups. The
main results follow from the fact that these presentations are not quadratic.
To complete the picture, we compute presentations of completed Torelli and
mapping class in genera > 3; they are quadratic. We also show that groups
commensurable with hyperelliptic mapping class groups and mapping class groups
in genera < 3 are not Kahler.


title: Equivariant Algebraic Cobordism and Equivariant Formal Group Laws

abstract:
  We introduce an equivariant algebraic cobordism theory \Omega^G for algebraic
varieties with G-action, where G is a split diagonalizable group scheme over a
field k. It is done by combining the construction of the algebraic cobordism
theory \Omega by F. Morel and M. Levine, with the notion of (G, F)-formal group
law with respect to a complete G-universe and complete G-flag F as introduced
by M. Cole, J. P. C. Greenlees and I. Kriz. In particular, we use their
corresponding representing ring L_G(F) in place of the Lazard ring L. We show
that localization property and homotopy invariance property hold in \Omega^G.
We also prove the surjectivity of the canonical map from L_G(F) to
\Omega^G(Spec k). Moreover, we give some comparison results with \Omega, the
equivariant algebraic cobordism theory introduced by J. Heller and J.
Malagon-Lopez, the equivariant K-theory and Tom Dieck equivariant cobordism
theory (when k = C). In particular, we proved the equivariant Conner-Floyd
isomorphism when char k = 0. Finally, we show that our definition of \Omega^G
is independent of the choice of F.


title:
Quantum vacuum energies and Casimir forces between partially transparent
  $\delta$-function plates

abstract:
  In this paper the quantum vacuum energies induced by massive fluctuations of
one real scalar field on a configuration of two partially transparent plates
are analysed. The physical properties of the infinitely thin plates are
characterized by two Dirac-$\delta$ potentials. We find that an
attractive/repulsive Casimir force arises between the plates when the weights
of the $\delta$'s have equal/different sign. If some of the plates absorbs
fluctuations below some threshold of energy (the corresponding weight is
negative) there is the need to set a minimum mass to the scalar field
fluctuations to preserve unitarity in the corresponding quantum field theory.
Two repulsive $\delta$-interactions are compatible with massless fluctuations.
The effect of Dirichlet boundary conditions at the endpoints of the interval
$(-a,a)$ on a massless scalar quantum field theory defined on this interval is
tantamount letting the weights of the repulsive $\delta$-interactions to
$+\infty$.


title: A critical note on time in the multiverse

abstract:
  In recent analyses of standard, single-universe, cosmology, it was pointed
out that specific assumptions regarding the distribution and motion of matter
must be made in order to set up the cosmological standard model with a global
time parameter. Relying on these results, we critically examine the notion of
time in the multiverse, and in particular the idea that some parts of the
multiverse are older than others. By focusing on the most elaborated multiverse
proposal in cosmology, the inflationary multiverse, we identify three problems
for establishing a physically well-defined notion of global time; a quantum
problem, a collision problem and a fractal problem. The quantum problem, and
the closely related "cosmic measurement problem", may even undermine the idea
that parts of the multiverse causally and temporally precede our universe.


title:
Lasing and antibunching of optical phonons in semiconductor double
  quantum dots

abstract:
  We theoretically propose optical phonon lasing in a double quantum dot (DQD)
fabricated on a semiconductor substrate. No additional cavity or resonator is
required. An electron in the DQD is found to be coupled to only two
longitudinal optical phonon modes that act as a natural cavity. When the energy
level spacing in the DQD is tuned to the phonon energy, the electron transfer
is accompanied by the emission of the phonon modes. The resulting
non-equilibrium motion of electrons and phonons is analyzed by the rate
equation approach based on the Born-Markov-Secular approximation. We show that
the lasing occurs for pumping the DQD via electron tunneling at rate much
larger than the phonon decay rate, whereas a phonon antibunching is observed in
the opposite regime of slow tunneling. Both effects disappear by an effective
thermalization induced by the Franck-Condon effect in a DQD fabricated in a
suspended carbon nanotube with strong electron-phonon coupling.


title: Dualities Near the Horizon

abstract:
  In 4-dimensional supergravity theories, covariant under symplectic
electric-magnetic duality rotations, a significant role is played by the
symplectic matrix M({\phi}), related to the coupling of scalars {\phi} to
vector field-strengths. In particular, this matrix enters the twisted
self-duality condition for 2-form field strengths in the symplectic formulation
of generalized Maxwell equations in the presence of scalar fields. In this
investigation, we compute several properties of this matrix in relation to the
attractor mechanism of extremal (asymptotically flat) black holes. At the
attractor points with no flat directions (as in the N = 2 BPS case), this
matrix enjoys a universal form in terms of the dyonic charge vector Q and the
invariants of the corresponding symplectic representation RQ of the duality
group G, whenever the scalar manifold is a symmetric space with G simple and
non-degenerate of type E7. At attractors with flat directions, M still depends
on flat directions, but not MQ, defining the so-called Freudenthal dual of Q
itself. This allows for a universal expression of the symplectic vector field
strengths in terms of Q, in the near-horizon Bertotti-Robinson black hole
geometry.


title:
Category forcings, $MM^{+++}$, and generic absoluteness for the theory
  of strong forcing axioms

abstract:
  We introduce a category whose objects are stationary set preserving complete
boolean algebras and whose arrows are complete homomorphisms with a stationary
set preserving quotient. We show that the cut of this category at a rank
initial segment of the universe of height a super compact which is a limit of
super compact cardinals is a stationary set preserving partial order which
forces $MM^{++}$ and collapses its size to become the second uncountable
cardinal. Next we argue that any of the known methods to produce a model of
$MM^{++}$ collapsing a superhuge cardinal to become the second uncountable
cardinal produces a model in which the cutoff of the category of stationary set
preserving forcings at any rank initial segment of the universe of large enough
height is forcing equivalent to a presaturated tower of normal filters. We let
$MM^{+++}$ denote this statement and we prove that the theory of
$L(Ord^{\omega_1})$ with parameters in $P(\omega_1)$ is generically invariant
for stationary set preserving forcings that preserve $MM^{+++}$. Finally we
argue that the work of Larson and Asper\'o shows that this is a next to optimal
generalization to the Chang model $L(Ord^{\omega_1})$ of Woodin's generic
absoluteness results for the Chang model $L(Ord^{\omega})$. It remains open
whether $MM^{+++}$ and $MM^{++}$ are equivalent axioms modulo large cardinals
and whether $MM^{++}$ suffices to prove the same generic absoluteness results
for the Chang model $L(Ord^{\omega_1})$.


title: An Extension of the Blow-up Lemma to arrangeable graphs

abstract:
  The Blow-up Lemma established by Koml\'os, S\'ark\"ozy, and Szemer\'edi in
1997 is an important tool for the embedding of spanning subgraphs of bounded
maximum degree. Here we prove several generalisations of this result concerning
the embedding of a-arrangeable graphs, where a graph is called a-arrangeable if
its vertices can be ordered in such a way that the neighbours to the right of
any vertex v have at most a neighbours to the left of v in total. Examples of
arrangeable graphs include planar graphs and, more generally, graphs without a
K_s-subdivision for constant s. Our main result shows that a-arrangeable graphs
with maximum degree at most sqrt(n)/log(n) can be embedded into corresponding
systems of super-regular pairs. This is optimal up to the logarithmic factor.
  We also present two applications. We prove that any large enough graph G with
minimum degree at least ((r-1)/r+\gamma)n contains an F-factor of every
a-arrangeable r-chromatic graph F with at most \xi n vertices and maximum
degree at most sqrt(n)/log(n), as long as \xi\ is sufficiently small compared
to \gamma/(ar). This extends a result of Alon and Yuster [J. Combin. Theory
Ser. B 66(2),269-282, 1996]. Moreover, we show that for constant p the random
graph G(n,p) is universal for the class of a-arrangeable n-vertex graphs H of
maximum degree at most \xi n/log(n), as long as \xi\ is sufficiently small
compared to p/a.


title: Nonlocal failures in complex supply networks by single link additions

abstract:
  How do local topological changes affect the global operation and stability of
complex supply networks? Studying supply networks on various levels of
abstraction, we demonstrate that and how adding new links may not only promote
but also degrade stable operation of a network. Intriguingly, the resulting
overloads may emerge remotely from where such a link is added, thus resulting
in nonlocal failure. We link this counter-intuitive phenomenon to Braess'
paradox originally discovered in traffic networks. We use elementary network
topologies to explain its underlying mechanism for different types of supply
networks and find that it generically occurs across these systems. As an
important consequence, upgrading supply networks such as communication
networks, biological supply networks or power grids requires particular care
because even adding only single connections may destabilize normal network
operation and induce disturbances remotely from the location of structural
change and even global cascades of failures.


title:
The deleterious mutation load is insensitive to recent population
  history

abstract:
  Human populations have undergone dramatic changes in population size in the
past 100,000 years, including a severe bottleneck of non-African populations
and recent explosive population growth. There is currently great interest in
how these demographic events may have affected the burden of deleterious
mutations in individuals and the allele frequency spectrum of disease mutations
in populations. Here we use population genetic models to show that--contrary to
previous conjectures--recent human demography has likely had very little impact
on the average burden of deleterious mutations carried by individuals. This
prediction is supported by exome sequence data showing that African American
and European American individuals carry very similar burdens of damaging
mutations. We next consider whether recent population growth has increased the
importance of very rare mutations in complex traits. Our analysis predicts that
for most classes of disease variants, rare alleles are unlikely to contribute a
large fraction of the total genetic variance, and that the impact of recent
growth is likely to be modest. However, for diseases that have a direct impact
on fitness, strongly deleterious rare mutations likely do play important roles,
and the impact of very rare mutations will be far greater as a result of recent
growth. In summary, demographic history has dramatically impacted patterns of
variation in different human populations, but these changes have likely had
little impact on either genetic load or on the importance of rare variants for
most complex traits.


title: Steady-state traffic flow on a ring road with up- and down- slopes

abstract:
  This paper studies steady-state traffic flow on a ring road with up- and
down- slopes using a semi-discrete model. By exploiting the relations between
the semi-discrete and the continuum models, a steady-state solution is uniquely
determined for a given total number of vehicles on the ring road. The solution
is exact and always stable with respect to the first-order continuum model,
whereas it is a good approximation with respect to the semi-discrete model
provided that the involved equilibrium constant states are linearly stable. In
an otherwise case, the instability of one or more equilibria could trigger
stop-and-go waves propagating in certain road sections or throughout the ring
road. The indicated results are reasonable and thus physically significant for
a better understanding of real traffic flow on an inhomogeneous road.


title:
Itinerant origin of the ferromagnetic quantum critical point in
  Fe(Ga,Ge)3

abstract:
  The electronic structure and magnetic properties of FeGa3 and doped FeGa3 are
studied using density functional calculations. An itinerant mechanism for
ferromagnetism is found both for n-type doping with Ge and also for p-type
doping. Boltzmann transport calculations of the thermopower are also reported.


title:
A note on power instability of linear discrete-time systems in Banach
  spaces

abstract:
  In this paper we investigate the power instability properties and give
necessary and sufficient conditions for the concepts of uniform power
instability, power instability and strong power instability for linear
discrete-time system $x_{n+1} = A(n)x_{n}$ in Banach spaces.


title: Molecular bands in extremely metal-poor stars. Granulation effects

abstract:
  The bands of diatomic molecules are important abundance indicators,
especially in metal-poor stars, where they are still measurable in metallicity
regimes where the atomic lines of their constituting metallic elements have
become vanishingly small. In order to use them for abundance determinations it
is imperative to understand the formation of these bands. In this contribution
we report on our results obtained using CO5BOLD hydrodynamical simulations.
Some effects that are qualitatively different from what found in 1D
computations are highlighted. Due to the large number of lines that form the
bands, their spectrum synthesis is computationally challenging. We discuss some
of the computational strategies we employed to parallelise the computation and
possible future developments.


title:
Top quark spin correlations and polarization at the LHC: standard model
  predictions and effects of anomalous top chromo moments

abstract:
  A number of top-spin observables are computed within the Standard Model (SM),
at next-to-leading order in the strong and weak gauge couplings for hadronic
top-quark anti-quark (ttbar) production and decay at the LHC for center-of-mass
energies 7 and 8 TeV. For dileptonic final states we consider the azimuthal
angle correlation, the helicity correlation, and the opening angle
distribution; for lepton plus jets final states we determine distributions and
asymmetries that trace a longitudinal and transverse polarization,
respectively, of the t and t-bar samples. In addition, we investigate the
effects of a non-zero chromo-magnetic and chromo-electric dipole moment of the
top quark on these and other top-spin observables and associated asymmetries.
These observables allow to disentangle the contributions from the real and
imaginary parts of these moments.


title: Wavelet analysis of solar magnetic strength indices

abstract:
  Wavelet analysis of different solar activity indices, sunspot numbers,
sunspot areas, flare index, magnetic fields, etc., allows us to investigate the
time evolution of some specific features of the solar activity and the
underlying dynamo mechanism. The main aim of this work is the analysis of the
time-frequency behavior of some magnetic strengtht indices currently taken at
the Mt. Wilson Observatory 150-Foot Solar Tower. In particular, we analyzed
both the long time series (Jan 19, 1970 - Jan 22, 2013) of the Magnetic Plage
Strength Index (MPSI) values and of the Mt. Wilson Sunspot Index (MWSI) values,
covering the descending phase of cycle 20, the full solar cycles 21-23 and the
current part of the 24 solar cycle. This study is a further contribution to
detect the changes in the multiscale quasiperiodic variations in the integrated
magnetic solar activity with a comparison between past solar cycles and the
current one, which is one of the weaker recorded in the past 100 years. Indeed,
it is well known that an unusual and deep solar minimum occurred between solar
cycles 23 and 24 and the time-frequency behavior of some magnetic strengtht
indices can help to better interpret the responsible mechanisms.


title: Neutron knockout in neutral-current neutrino-oxygen interactions

abstract:
  The ongoing and future searches for diffuse supernova neutrinos and sterile
neutrinos carried out with large water-Cherenkov detectors require a precise
determination of the backgrounds, especially those involving gamma rays. Of
great importance, in this context, is the process of neutron knockout through
neutral-current scattering of atmospheric neutrinos on oxygen. Nuclear
reinteractions of the produced neutron may in fact lead to the production of
gamma rays of energies high enough to mimic the processes of interest. In this
Letter, we focus on the kinematical range suitable for simulations of
atmospheric-neutrino interactions and provide the neutron-knockout cross
sections computed using the formalism based on realistic nuclear spectral
function. The role of the strange-quark contribution to the neutral-current
axial form factor is also analyzed. Based on the available experimental
information, we give an estimate of the associated uncertainty.


title: SO(3) massive gravity

abstract:
  In this paper, we propose a massive gravity theory with 5 degrees of freedom.
The mass term is constructed by 3 Stuckelberg scalar fields, which respects
SO(3) symmetry in the fields' configuration. By the analysis on the linear
cosmological perturbations, we found that such 5 d.o.f are free from ghost
instability, gradiant instability, and tachyonic instability.


title: Replica-symmetry-breaking transitions and off-equilibrium dynamics

abstract:
  I consider branches of Replica-Symmetry-Breaking (RSB) solutions in Glassy
systems that display a dynamical transition at a temperature $T_d$
characterized by a Mode-Coupling-Theory dynamical behavior. Below $T_d$ these
branches of solutions are considered to be relevant to the complexity and to
off-equilibrium dynamics. Under general assumptions I argue that near $T_d$ it
is not possible to stabilize the one-step (1RSB) solution beyond the marginal
point by making a full RSB (FRSB) ansatz. However, depending on the model, it
may exist a temperature $T_*$ strictly lower than $T_d$ below which the 1RSB
branch can be continued to a FRSB branch. Such a temperature certainly exists
for models that display the so-called Gardner transition and in this case
$T_G<T_*<T_d$. An analytical study in the context of the truncated model
reveals that the FRSB branch of solutions below $T_*$ is characterized by a two
plateau structure and it ends where the first plateau disappears. These general
features are confirmed in the context of the Ising $p$-spin with $p=3$ by means
of a numerical solution of the FRSB equations. The results are discussed in
connection with off-equilibrium dynamics within Cugliandolo-Kurchan theory. In
this context I assume that the RSB solution relevant for off-equilibrium
dynamics is the 1RBS marginal solution in the whole range $(T_*,T_d)$ and it is
the end-point of the FRSB branch for $T<T_*$. Remarkably under these
assumptions it can be argued that $T_*$ marks a qualitative change in
off-equilibrium dynamics in the sense that the decay of various dynamical
quantities changes from power-law to logarithmic.


title: Nonlinear realizations and the orbit method

abstract:
  Given a symmetry group one can construct the invariant dynamics using the
technique of nonlinear realizations or the orbit method. The relationship
between these methods is discussed. Few examples are presented.


title: Spin Conductivity in Two-Dimensional Non-Collinear Antiferromagnets

abstract:
  We propose a method to derive the spin current operator for non-collinear
Heisenberg antiferromagnets. We show that the spin conductivity calculated by
the spectral representation with the spin current satisfies the f-sum rule. We
also study the spin conductivity at T=0 within spin wave theory. We show how
the spin conductivity depends on the external magnetic field with changing
magnon spectrum. We also find that the spin Drude weight vanishes for any
external magnetic field at T=0.


title: Fourier analysis of stationary time series in function space

abstract:
  We develop the basic building blocks of a frequency domain framework for
drawing statistical inferences on the second-order structure of a stationary
sequence of functional data. The key element in such a context is the spectral
density operator, which generalises the notion of a spectral density matrix to
the functional setting, and characterises the second-order dynamics of the
process. Our main tool is the functional Discrete Fourier Transform (fDFT). We
derive an asymptotic Gaussian representation of the fDFT, thus allowing the
transformation of the original collection of dependent random functions into a
collection of approximately independent complex-valued Gaussian random
functions. Our results are then employed in order to construct estimators of
the spectral density operator based on smoothed versions of the periodogram
kernel, the functional generalisation of the periodogram matrix. The
consistency and asymptotic law of these estimators are studied in detail. As
immediate consequences, we obtain central limit theorems for the mean and the
long-run covariance operator of a stationary functional time series. Our
results do not depend on structural modelling assumptions, but only functional
versions of classical cumulant mixing conditions, and are shown to be stable
under discrete observation of the individual curves.


title:
The change of electronic state and crystal structure by post-annealing
  in superconducting SrFe2(As0.65P0.35)2

abstract:
  We investigated the annealing effects on the physical properties of
SrFe$_2$(As$_{1-x}$P$_x$)$_2$ ($x=0.35$). The superconducting transition
temperature ($T_c$) increased from 26 K to 33 K by annealing. The X-ray
diffraction measurement suggested that the annealed crystals have the
shorter/longer $a/c$-axes and the larger pnictogen height $h_\mathrm{Pn}$. This
must be linked to the $T_c$-enhancement by annealing. Moreover, it was found
that the post-annealing decreased the electronic specific heat coefficient at
$T$=0 K, $\gamma_r$, and changed the magnetic field ($H$) dependence from
sub-linear $\gamma_r\propto H^{0.7}$ to $H$-linear $\gamma_r\propto H$. This
can be attributed the electronic change from dirty to clean superconductors
with $s_{\pm}$ gap.


title: Moderate deviations for a nonparametric estimator of sample coverage

abstract:
  In this paper, we consider moderate deviations for Good's coverage estimator.
The moderate deviation principle and the self-normalized moderate deviation
principle for Good's coverage estimator are established. The results are also
applied to the hypothesis testing problem and the confidence interval for the
coverage.


title:
Retrieving Infinite Numbers of Patterns in a Spin-Glass Model of Immune
  Networks

abstract:
  The similarity between neural and immune networks has been known for decades,
but so far we did not understand the mechanism that allows the immune system,
unlike associative neural networks, to recall and execute a large number of
memorized defense strategies {\em in parallel}. The explanation turns out to
lie in the network topology. Neurons interact typically with a large number of
other neurons, whereas interactions among lymphocytes in immune networks are
very specific, and described by graphs with finite connectivity. In this paper
we use replica techniques to solve a statistical mechanical immune network
model with `coordinator branches' (T-cells) and `effector branches' (B-cells),
and show how the finite connectivity enables the system to manage an extensive
number of immune clones simultaneously, even above the percolation threshold.
The system exhibits only weak ergodicity breaking, so that both multiple
antigen defense and homeostasis can be accomplished.


title:
Testing X-ray Measurements of Galaxy Cluster Gas Mass Fraction Using the
  Cosmic Distance-Duality Relation

abstract:
  We propose a consistency test of some recent X-ray gas mass fraction
($f_{\rm{gas}}$) measurements in galaxy clusters, using the cosmic
distance-duality relation, $\eta_{\rm{theory}}=\dl(1+z)^{-2}/\da$, with
luminosity distance ($\dl$) data from the Union2 compilation of type Ia
supernovae. We set $\eta_{\rm{theory}}\equiv1$, instead of assigning any
redshift parameterizations to it, and constrain the cosmological information
preferred by $f_{\rm{gas}}$ data along with supernova observations. We adopt a
new binning method in the reduction of the Union2 data, in order to minimize
the statistical errors. Four data sets of X-ray gas mass fraction, which are
reported by Allen et al. (2 samples), LaRoque et al. and Ettori et al., are
detailedly analyzed against two theoretical modelings of $f_{\rm{gas}}$. The
results from the analysis of Allen et al.'s samples prove the feasibility of
our method. It is found that the preferred cosmology by LaRoque et al.'s sample
is consistent with its reference cosmology within 1-$\sigma$ confidence level.
However, for Ettori et al.'s $f_{\rm{gas}}$ sample, the inconsistency can reach
more than 3-$\sigma$ confidence level and this dataset shows special preference
to an $\Ol=0$ cosmology.


title: Spanning embeddings of arrangeable graphs with sublinear bandwidth

abstract:
  The Bandwidth Theorem of B\"ottcher, Schacht and Taraz [Mathematische Annalen
343 (1), 175-205] gives minimum degree conditions for the containment of
spanning graphs H with small bandwidth and bounded maximum degree. We
generalise this result to a-arrangeable graphs H with \Delta(H)<sqrt(n)/log(n),
where n is the number of vertices of H.
  Our result implies that sufficiently large n-vertex graphs G with minimum
degree at least (3/4+\gamma)n contain almost all planar graphs on n vertices as
subgraphs. Using techniques developed by Allen, Brightwell and Skokan
[Combinatorica, to appear] we can also apply our methods to show that almost
all planar graphs H have Ramsey number at most 12|H|. We obtain corresponding
results for graphs embeddable on different orientable surfaces.


title:
Calculating potential of mean force between like-charged nanoparticles:
  a comprehensive study on salt effects

abstract:
  Ions are critical to the structure and stability of polyelectrolytes such as
nucleic acids. In this work, we systematically calculated the potentials of
mean force between two like-charged nanoparticles in salt solutions by Monte
Carlo simulations. The pseudo-spring method is employed to calculate the
potential of mean force and compared systematically with the inversed-Boltzmann
method. An effective attraction is predicted between two like-charged
nanoparticles in divalent/trivalent salt solution and such attraction becomes
weakened at very high salt concentration. Our analysis reveals that for the
system, the configuration of ion-bridging nanoparticles is responsible for the
attraction, and the invasion of anions into the inter-nanoparticles region at
high salt concentration would induce attraction weakening rather than the
charge inversion effect. The present method would be useful for calculating
effective interactions during nucleic acid folding.

categories: physics.bio-ph cond-mat.soft cond-mat.stat-mech physics.comp-ph


title:
A study of large scale dynamo growth rates from numerical simulations
  and implications for mean field theories

abstract:
  Understanding large scale magnetic field growth in turbulent plasmas in the
magnetohydrodynamic limit is a goal of magnetic dynamo theory. In particular,
assessing how well large scale helical field growth and saturation in
simulations matches that predicted by existing theories is important for
progress. Using numerical simulations of isotropically forced turbulence
without large scale shear with the implications, we focus on several aspects of
this comparison that have not been previously tested: (1) Leading mean field
dynamo theories which break the field into large and small scales predict that
large scale helical field growth rates are determined by the difference between
kinetic helicity and current helicity with no dependence on the non-helical
energy in small scale magnetic fields. Our simulations show that the growth
rate of the large scale field from fully helical forcing is indeed unaffected
by the presence or absence of small scale magnetic fields amplified in a
precursor non-helical dynamo. However, because the precursor non helical dynamo
in our simulations produced fields that were strongly sub-equipartition with
respect to the kinetic energy, we cannot yet rule out the potential influence
of stronger non- helical small scale fields. (2) We have identified two
features in our simulations which cannot be explained by the most minimalist
versions of two-scale mean field theory: (i) fully helical small scale forcing
produces significant non-helical large scale magnetic energy and (ii) the
saturation of the large scale field growth is time-delayed with respect to what
minimalist theory predicts. We comment on desirable generalizations to the
theory in this context and future desired work.

categories: physics.plasm-ph astro-ph.EP astro-ph.IM astro-ph.SR


title: Time-bin entangled photons from a quantum dot

abstract:
  Long distance quantum communication is one of the prime goals in the field of
quantum information science. With information encoded in the quantum state of
photons, existing telecommunication fiber networks can be effectively used as a
transport medium. To achieve this goal, a source of robust entangled single
photon pairs is required. While time-bin entanglement offers the required
robustness, currently used parametric down-conversion sources have limited
performance due to multi-pair contributions. We report the realization of a
source of single time-bin entangled photon pairs utilizing the
biexciton-exciton cascade in a III/V self-assembled quantum dot. We analyzed
the generated photon pairs by an inherently phase-stable interferometry
technique, facilitating uninterrupted long integration times. We confirmed the
entanglement by performing a quantum state tomography of the emitted photons,
which yielded a fidelity of 0.69(3) and a concurrence of 0.41(6).


title: The q-fractional analogue for Gronwall-type inequality

abstract:
  In this article, we utilize \emph{q}--fractional Caputo initial value
problems of order $0<\alpha\leq 1$ to derive a \emph{q}--analogue for
Gronwall--type inequality. Some particular cases are derived where
\emph{q}--Mittag--Leffler functions and \emph{q}--exponential type functions
are used. An example is given to illustrate the validity of the derived
inequality.


title:
VTCdb: A transcriptomics & co-expression database for the crop species
  Vitis vinifera (grapevine)

abstract:
  Gene co-expression databases in model plants such as Arabidopsis and rice
have been extensively developed and utilised for predicting gene function and
identifying functional modules for underlying biological processes. However,
such tools are less available for non-model plants such as grapevine. We have
constructed a gene co-expression database, VTCdb
(http://vtcdb.adelaide.edu.au/Home.aspx) that offers an online platform for
transcriptional regulatory inference in the cultivated grapevine. Using a
condition-independent approach, the grapevine co-expression network was
constructed using 352 publicly available microarray datasets from a diverse
experimental series, profiling approximately 9000 genes (40% of the predicted
grapevine transcriptome). Using correlation rank transformation and
graph-clustering, we have identified modules putatively involved in several
fundamental biological processes such as photosynthesis, secondary metabolism
and stress responses. Inter-module network connections revealed a higher-level
organization of function, in which densely connected modules often participated
in related biological processes and had similar expression profiles in
grapevine. The database enables users to query genes, modules or biological
processes of interest. Querying a gene will give a ranked list of co-expressed
genes, functional annotations and information on the associated module.
Alternatively, browsing modules of interest will retrieve information regarding
Gene Ontology and Mapman enriched terms, as well as tissue- and
condition-specific patterns of gene expression within the module. Furthermore,
the database features interactive network visualisation via CytoscapeWeb. VTCdb
should aid researchers in their prioritization of gene candidates for further
study towards the understanding of biological processes related to many aspects
of grapevine development and metabolism.


title: Structural evolution and kinetics in Cu-Zr Metallic Liquids

abstract:
  The atomic structure of the supercooled liquid has often been discussed as a
key source of glass formation in metals. The presence of
icosahedrally-coordinated clusters and their tendency to form networks have
been identified as one possible structural trait leading to glass forming
ability in the Cu-Zr binary system. In this work, we show that this theory is
insufficient to explain glass formation at all compositions in that binary
system. Instead, we propose that the formation of ideally-packed clusters at
the expense of atomic arrangements with excess or deficient free volume can
explain glass-forming by a similar mechanism. We show that this behavior is
reflected in the structural relaxation of a metallic glass during constant
pressure cooling and the time evolution of structure at a constant volume. We
then demonstrate that this theory is sufficient to explain slowed diffusivity
in compositions across the range of Cu-Zr metallic glasses.


title:
Seismic study of solar convection and overshooting: results of nonlocal
  convection

abstract:
  Local mixing-length theory is incapable of describing nonlocal phenomena in
stellar convection, such as overshooting. Therefore standard solar models
constructed with the local mixing-length theory deviate significantly from the
Sun at the boundaries of the convection zone, where convection becomes less
efficient and nonlocal effects are important. The differences between observed
and computed frequencies come mainly from the near-surface region, while the
localized sound-speed difference is just below the convective envelope. In this
paper we compute a solar envelope model using Xiong's nonlocal convection
theory, and carry out helioseismic analysis. The nonlocal model has a smooth
transition at the base of the convection zone, as revealed by helioseismology.
It reproduces solar frequencies more accurately, and reduces the localized
sound-speed difference between the Sun and standard solar models.


title: Interacting Ions in Biophysics: Real is not Ideal

abstract:
  Ions in water are important in biology, from molecules to organs.
Classically, ions in water are treated as ideal noninteracting particles in a
perfect gas. Excess free energy of ion was zero. Mathematics was not available
to deal consistently with flows, or interactions with ions or boundaries.
Non-classical approaches are needed because ions in biological conditions flow
and interact. The concentration gradient of one ion can drive the flow of
another, even in a bulk solution. A variational multiscale approach is needed
to deal with interactions and flow. The recently developed energetic
variational approach to dissipative systems allows mathematically consistent
treatment of bio-ions Na, K, Ca and Cl as they interact and flow. Interactions
produce large excess free energy that dominate the properties of the high
concentration of ions in and near protein active sites, channels, and nucleic
acids: the number density of ions is often more than 10 M. Ions in such crowded
quarters interact strongly with each other as well as with the surrounding
protein. Non-ideal behavior has classically been ascribed to allosteric
interactions mediated by protein conformation changes. Ion-ion interactions
present in crowded solutions--independent of conformation changes of
proteins--are likely to change interpretations of allosteric phenomena.
Computation of all atoms is a popular alternative to the multiscale approach.
Such computations involve formidable challenges. Biological systems exist on
very different scales from atomic motion. Biological systems exist in ionic
mixtures (extracellular/intracellular solutions), and usually involve flow and
trace concentrations of messenger ions (e.g., 10-7 M Ca2+). Energetic
variational methods can deal with these characteristic properties of biological
systems while we await the maturation and calibration of all atom simulations
of ionic mixtures and divalents.


title:
Efficient classical simulation of the Gisin-Massar quantum cloning
  machine

abstract:
  We provide here the technical details of the recently proposed tensor-network
protocol for classical simulation of the Gisin-Massar quantum cloner by the
authors [Phys. Rev. A, 85, 052323 (2012)]. The protocol essentially instructs
how to efficiently simulate an optimal quantum cloning machine of Gisin-Massar
on a classical computer. A viable computational platform for generation on
demand of arbitrary number of optimal clones with controllable numerical
resources is realized by rephrasing the Gisin-Massar output state in terms of
the hierarchy of the so-called matrix-product states (MPS) and invoking parity
features peculiar to such an output.


title: Range-Renewal Structure in Continued Fractions

abstract:
  Let $\omega=[a_1, a_2, \cdots]$ be the infinite expansion of continued
fraction for an irrational number $\omega \in (0,1)$; let $R_n (\omega)$ (resp.
$R_{n, \, k} (\omega)$, $R_{n, \, k+} (\omega)$) be the number of distinct
partial quotients each of which appears at least once (resp. exactly $k$ times,
at least $k$ times) in the sequence $a_1, \cdots, a_n$. In this paper it is
proved that for Lebesgue almost all $\omega \in (0,1)$ and all $k \geq 1$, $$
\displaystyle \lim_{n \to \infty} \frac{R_n
(\omega)}{\sqrt{n}}=\sqrt{\frac{\pi}{\log 2}}, \quad \lim_{n \to \infty}
\frac{R_{n, \, k} (\omega)}{R_n (\omega)}=\frac{C_{2 k}^k}{(2k-1) \cdot 4^k},
\quad \lim_{n \to \infty} \frac{R_{n, \, k} (\omega)}{R_{n, \, k+}
(\omega)}=\frac{1}{2k}. $$ The Hausdorff dimensions of certain level sets about
$R_n$ are discussed.


title:
Some rigorous results concerning the uniform metallic ground states of
  single-band Hamiltonians in arbitrary dimensions

abstract:
  We reproduce and review some of the main results of three of our earlier
papers, utilizing in doing so a considerably more transparent formalism than
originally utilized. The most fundamental result to which we pay especial
attention in this paper, is that the exact Fermi surface (FS) of the uniform
metallic ground state (GS) of any single-band Hamiltonian, describing fermions,
is a subset of the FS within the framework of the exact Hartree-Fock theory. We
also review some of the physical implications of the latter result. Our
considerations reveal that the interacting FS of a uniform metallic GS cannot
be calculated exactly to order \nu (\nu \ge 2) in the coupling constant \lambda
of the interaction potential in terms of the self-energy calculated to order
\nu in a non-self-consistent fashion. We show this to be interlinked with the
failure of the Luttinger-Ward identity, and thus of the Luttinger theorem, for
a self-energy that is not appropriately related to the single-particle Green
function from which the FS is deduced. We further show that the same mechanism
that embodies the Luttinger theorem within the framework of the exact theory,
accounts for a non-trivial dependence of the exact self-energy on \lambda that
cannot be captured within a non-self-consistent framework. We thus establish
that the extant calculations that purportedly prove deformation of the
interacting FS of the metallic GS of the single-band Hubbard Hamiltonian with
respect to its Hartree-Fock counterpart at the second order in the on-site
interaction energy U, are fundamentally deficient. In an appendix we show that
the number-density distribution function, to be distinguished from the
site-occupation distribution function, corresponding to the GS of the Hubbard
Hamiltonian is not non-interacting v-representable, a fact established earlier
numerically. [Abridged Abstract]


title: The Large Hadron Electron Collider

abstract:
  An overview is given on key physics, detector and accelerator aspects of the
LHeC, including its further development, with emphasis to its role as the
cleanest microscope of parton dynamics and a precision Higgs facility.


title:
Characterizing User Behavior and Information Propagation on a Social
  Multimedia Network

abstract:
  An increasing portion of modern socializing takes place via online social
networks. Members of these communities often play distinct roles that can be
deduced from observations of users' online activities. One such activity is the
sharing of multimedia, the popularity of which can vary dramatically. Here we
discuss our initial analysis of anonymized, scraped data from consenting
Facebook users, together with associated demographic and psychological
profiles. We present five clusters of users with common observed online
behaviors, where these users also show correlated profile characteristics.
Finally, we identify some common properties of the most popular multimedia
content.


title: Inadequacy of zero-width approximation for a light Higgs boson signal

abstract:
  The zero-width approximation (ZWA) restricts the intermediate unstable
particle state to the mass shell and, when combined with the decorrelation
approximation, fully factorizes the production and decay of unstable particles.
The ZWA uncertainty is expected to be of O(Gamma/M), where M and Gamma are the
mass and width of the unstable particle. We review the ZWA and demonstrate that
errors can be much larger than expected if a significant modification of the
Breit-Wigner lineshape occurs. A thorough examination of the recently
discovered candidate Standard Model Higgs boson is in progress. For M_H ~ 125
GeV, one has Gamma_H/M_H < 10^(-4), which suggests an excellent accuracy of the
ZWA. We show that this is not always the case. The inclusion of off-shell
contributions is essential to obtain an accurate Higgs signal normalization at
the 1% precision level. For gg -> H -> VV, V = W,Z, O(5-10%) corrections occur
due to an enhanced Higgs signal in the region M_VV > 2 M_V, where also sizable
Higgs-continuum interference occurs. We discuss how experimental selection cuts
can be used to suppress this region in search channels where the Higgs mass
cannot be reconstructed. We note that H -> VV decay modes in non-gluon-fusion
channels are similarly affected.


title:
Reentrant quantum anomalous Hall effect with in-plane magnetic fields in
  HgMnTe quantum wells

abstract:
  Quantum anomalous Hall effect has been predicted in HgMnTe quantum wells with
an out-of-plane magnetization of Mn atoms. However, since HgMnTe quantum wells
are paramagnetic, an out-of-plane magnetic field is required to polarize
magnetic moments of Mn atoms, which inevitably induces Landau levels and makes
it difficult to identify the origin of the quantized Hall conductance
experimentally. In this work, we study the quantum anomalous Hall effect in the
presence of an in-plane magnetic field in Mn doped HgTe quantum wells. For a
small out-of-plane magnetic field, the in-plane magnetic field can drive the
system from a normal insulating state to a quantum anomalous Hall state. When
the out-of-plane magnetic field is slightly above the transition point, the
system shows a reentrant behavior of Hall conductance, varying from $-e^2/h$ to
0 and back to $-e^2/h$, with increasing in-plane magnetic fields. The reentrant
quantum anomalous Hall effect originates from the interplay between the
exchange coupling of magnetic moments and the direct Zeeman coupling of
magnetic fields. The calculation incorporating Landau levels shows that there
is no qualitative change of the reentrant behavior.


title:
Dynamics of highly unbalanced Bose-Bose mixtures: miscible vs immiscible
  gases

abstract:
  We study the collective modes of the minority component of a highly
unbalanced Bose-Bose mixtures. In the miscible case the minority component
feels an effective external potential and we derive an analytical expression
for the mode frequencies. The latter is independent of the minority component
interaction strength. In the immiscible case we find that the ground state can
be a two-domain walls soliton. Although the mode frequencies are continuous at
the transition, their behaviour is very different with respect to the miscible
case. The dynamical behaviour of the solitonic structure and the frequency
dependence on the inter- and intra-species interaction is numerically studied
using coupled Gross-Pitaevskii equations.


title: Diffusion of interacting particles in discrete geometries

abstract:
  We evaluate the self-diffusion and transport diffusion of interacting
particles in a discrete geometry consisting of a linear chain of cavities, with
interactions within a cavity described by a free-energy function. Exact
analytical expressions are obtained in the absence of correlations, showing
that the self-diffusion can exceed the transport diffusion if the free-energy
function is concave. The effect of correlations is elucidated by comparison
with numerical results. Quantitative agreement is obtained with recent
experimental data for diffusion in a nanoporous zeolitic imidazolate framework
material, ZIF-8.


title:
Single Top Events as a Source of Light Charged Higgs in the Fully
  Hadronic Final State at LHC

abstract:
  The single top production proceeds through different channels at LHC. The
t-channel production which has a cross section at the level of one third of the
ttbar, can be regarded as a source of light charged Higgs boson through top
quark decay to charged Higgs. Due to the low jet multiplicity and
characteristic kinematic features of this process, a signal selection can be
designed to extract charged Higgs signal from the background processes. In this
paper, taking MSSM as the theoretical framework, The light charged Higgs signal
from single top events is analyzed. The charged Higgs is assumed to decay to
tau nu and the hadronic decay of tau leptons is analyzed. Different charged
Higgs mass hypotheses are analyzed and a scan over the parameter space
(mH+,tanbeta) is performed. It is shown that this process has the potential to
exclude large areas of parameter space, while with enough data, a 5 sigma
discovery would also be possible. Finally 95% C.L. exclusion and 5 sigma
contours are provided for different integrated luminosities of LHC.


title:
Optical probing of long range spatial correlation and symmetry in
  complex biophotonic architectures on the transparent insect wings

abstract:
  We experimentally probe complex bio-photonic architecture of microstructures
on the transparent insect wings by a simple, non-invasive, real time optical
technique. A stable and reproducible far-field diffraction pattern in
transmission was observed using collimated cw and broadband fs pulses. A
quantitative analysis of the observed diffraction pattern unveiled a new form
of long-range semi-periodic order of the microstructures over mm scale. These
observations agree well with Fourier analysis of SEM images of the wing taken
at various length scales. We propose a simple quantitative model based on
optical diffraction by an array of non-overlapping microstructures with minimal
disorder which supports our experimental observations. Two different
applications of our techniques are demonstrated. First, by scanning the laser
beam across the wing sample we observed a rotation of the original diffraction
profile which gives direct signature of organizational symmetry of
microstructures. Second, we report the first optical detection of
reorganization in the photonic architecture on the Drosophila wings by various
genetic mutations. These results have potentials for design and development of
diffractive optical components for applications and identifying routes to
genetic control of biomemetic devices.


title: On the extended T-system of type $C_3$

abstract:
  We continue the study of extended T-systems of quantum affine algebras. We
find a sub-system of the extended T-system of the quantum affine algebra $U_q
\hat{\mathfrak{g}}$ of type $C_3$. The sub-system consisting of four systems
which are denoted by I, II, III, and IV. Each of the systems I, II, III, IV is
closed. The systems I-IV can be used to compute minimal affinizations with
weights of the form $\lambda_1 \omega_1 + \lambda_2 \omega_2 + \lambda_3
\omega_3$, where at least one of $\lambda_1$, $\lambda_2$, $\lambda_3$ are
zero. Using the systems I-IV, we compute the characters of the restrictions of
the minimal affinizations in the systems to $ U_q \mathfrak{g} $ and obtain
some conjectural decomposition formulas for the restrictions of some minimal
affinizations.


title: Evolution and fate of very massive stars

abstract:
  There is observational evidence that supports the existence of Very Massive
Stars in the local universe. First, very massive stars (Mini<=320 M) have been
observed in the Large Magellanic Cloud . Second, there are observed SNe that
bear the characteristics of Pair Creation Supernovae which have very massive
stars as progenitors. The most promising candidate to date is SN2007bi. In
order to investigate the evolution and fate of nearby very massive stars, we
calculated a new grid of models for such objects, for solar, LMC and SMC
metallicities, which covers the initial mass range from 120 to 500M. Both
rotating and non-rotating models were calculated using the Geneva stellar
evolution code and evolved until at least the end of helium burning and for
most models until oxygen burning. Since very massive stars have very large
convective cores during the Main-Sequence phase, their evolution is not so much
affected by rotational mixing, but more by mass loss through stellar winds.
Their evolution is never far from a homogeneous evolution even without
rotational mixing. All the VMS, at all the metallicities studied here, end
their life as WC(WO) type stars. At solar metallicity, none of our models is
expected to explode as a PCSN. At the metallicity of the LMC, only stars more
massive than 300 M are expected to explode as PCSNe. At the SMC metallicity,
the mass range for the PCSN progenitors is much larger and comprises stars with
initial masses between about 100 and 290 M . All VMS stars in the metallicity
range studied here produce either a type Ib or a type Ic SN. We estimate that
the progenitor of SN2007bi, assuming a SMC metallicity, had an initial mass
between 160 and 175 M . None of models presented in this grid produce GRBs or
magnetars. They lose too much angular momentum by mass loss or avoid the
formation of a BH by producing a completely disruptive PCSN.


title:
Beam splitter and entanglement created with the squeezed coherent states
  of the Morse potential

abstract:
  The Morse potential is relatively closed to the harmonic oscillator quantum
system. Thus, following the idea used for the latter, we study the possibility
of creating entanglement using squeezed coherent states of the Morse potential
as an input field of a beam splitter. We measure the entanglement with the
linear entropy for two types of such states and we study the dependence with
the coherence and squeezing parameters. The new results are linked with
observations made on probability densities and uncertainty relations of those
states. The dynamical evolution of the linear entropy is also explored.


title:
Transport current and magnetization problems for thin type-II
  superconducting films

abstract:
  Thin film magnetization problems in type-II superconductivity are usually
formulated in terms of the magnetization function alone, which allows one to
compute the sheet current density and the magnetic field but often inhibits
computing the electric field in the film. Accounting for the current leads
presents an additional difficulty encountered in thin film transport current
problems.
  We generalize, to the presence of a transport current, the two-variable
variational formulation proposed recently for thin film magnetization problems.
The formulation, written in terms of the magnetization function and the
electric field, is used as a basis for a new numerical approximation enabling
us to solve the magnetization and transport current problems for flat films of
arbitrary shapes, including multiply connected films. The advantage of this
approach is in its ability to compute accurately all variables of interest,
including the electric field, for any value of the power in the power law
current-voltage relation characterizing the superconducting material. In the
high power limit the critical state model solution is obtained.


title: Non-Thermal Mechanism of Weak Microwave Fields Influence on Nerve Fiber

abstract:
  We propose a non-thermal mechanism of weak microwave field impact on a nerve
fiber. It is shown that in the range of about 30 - 300 GHz there are strongly
pronounced resonances associated with the excitation of ultrasonic vibrations
in the membrane as a result of interaction with electromagnetic radiation.
These vibrations create acoustic pressure which may lead to the redistribution
of the protein transmembrane channels, and, thus, changing the threshold of the
action potential excitation in the axons of the neural network. The influence
of the electromagnetic microwave radiation on various specific areas of myelin
nerve fibers was analyzed: the nodes of Ranvier, and the so-called initial
segment - the area between the neuron hillock and the first part of the axon
covered with the myelin layer. It is shown that the initial segment is the most
sensitive area of the myelined nerve fibers from which the action potential
normally starts.


title: Translating Relational Queries into Spreadsheets

abstract:
  Spreadsheets are among the most commonly used applications for data
management and analysis. Perhaps they are even among the most widely used
computer applications of all kinds. They combine in a natural and intuitive way
data processing with very diverse supplementary features: statistical
functions, visualization tools, pivot tables, pivot charts, linear programming
solvers, Web queries periodically downloading data from external sources, etc.
However, the spreadsheet paradigm of computation still lacks sufficient
analysis.
  In this article we demonstrate that a spreadsheet can implement all data
transformations definable in SQL, without any use of macros or built-in
programming languages, merely by utilizing spreadsheet formulas. We provide a
query compiler, which translates any given SQL query into a worksheet of the
same semantics, including NULL values.
  Thereby database operations become available to the users who do not want to
migrate to a database. They can define their queries using a high-level
language and then get their execution plans in a plain vanilla spreadsheet. No
sophisticated database system, no spreadsheet plugins or macros are needed.
  The functions available in spreadsheets impose severe limitations on the
algorithms one can implement. In this paper we offer $O(n\log^2n)$ sorting
spreadsheet, but using a non-constant number of rows, improving on the
previously known $O(n^2)$ ones.
  It is therefore surprising, that a spreadsheet can implement, as we
demonstrate, Depth-First-Search and Breadth-First-Search on graphs, thereby
reaching beyond queries definable in SQL-92.


title: Kinetic and thermodynamic temperatures in quantum systems

abstract:
  In this work we present a formalism to describe non equilibrium conditions in
systems with a discretized energy spectrum, such as quantum systems. We develop
a formalism based on a combination of Gibbs-Shannon entropy and information
thermodynamics that arrives to a generalization of the De-Brujin identity
applicable to discrete and non-symmetric distributions. This allows to define
the concept of a thermodynamic temperature with a different, albeit
complementary meaning to the equilibrium kinetic temperature of a system. The
theory is applied to Bosonic and Fermionic cases represented by an harmonic
oscillator and a single energy state, respectively. We show that the formalism
correctly recovers known results at equilibrium, then we demonstrate an
application to a genuine non equilibrium state: a coherent quantum oscillator.


title: Gamow peak approximation near strong resonances

abstract:
  We discuss the most effective energy range for charged particle induced
reactions in a plasma environment at a given plasma temperature. The
correspondence between the plasma temperature and the most effective energy
should be modified from the one given by the Gamow peak energy, in the presence
of a significant incident-energy dependence in the astrophysical S-factor as in
the case of resonant reactions. The suggested modification of the effective
energy range is important not only in thermonuclear reactions at high
temperature in the stellar environment, e.g., in advanced burning stages of
massive stars and in explosive stellar environment, as it has been already
claimed, but also in the application of the nuclear reactions driven by
ultra-intense laser pulse irradiations.


title:
Second-order Born approximation for the scattering phase shifts:
  Application to the Friedel sum rule

abstract:
  Screening effects are important to understand various aspects of ion-solid
interactions and, in particular, play a crucial role in the stopping of ions in
solids. In this paper the phase shifts and scattering amplitudes for the
quantum-mechanical elastic scattering within up to the second-order Born (B2)
approximation are revisited for an arbitrary spherically-symmetric electron-ion
interaction potential. The B2 phase shifts and scattering amplitudes are then
used to derive the Friedel sum rule (FSR) involving the second-order Born
corrections. This results in a simple equation for the B2 perturbative
screening parameter of an impurity ion immersed in a fully degenerate electron
gas which, as expected, turns out to depend on the ion atomic number $Z_{1}$
unlike the first-order Born (B1) screening parameter reported earlier by some
authors. Furthermore, our analytical results for the Yukawa, hydrogenic,
Hulth\'{e}n, and Mensing potentials are compared, for both positive and
negative ions and a wide range of one-electron radii, to the exact screening
parameters calculated self-consistently by imposing the FSR requirement. It is
shown that the B2 screening parameters agree excellently with the exact values
at large and moderate densities of the degenerate electron gas, while at lower
densities they progressively deviate from the exact numerical solutions but are
nevertheless more accurate than the prediction of the B1 approximation. In
addition, a simple Pad\'{e} approximant to the Born series has been developed
that improves the performance of the perturbative FSR for any negative ion as
well as for $Z_{1}=+1$.


title: Free energy potential and temperature with information exchange

abstract:
  In this paper we develop a generalized formalism for equilibrium
thermodynamic systems when an information is shared between the system and the
reservoir. The information results in a correction to the entropy of the
system. This extension of the formalism requires a consistent generalization of
the concept of thermodynamic temperature. We show that this extended
equilibrium formalism includes also non-equilibrium conditions in steady state.
By non-equilibrium conditions we mean here a non Boltzmann probability
distribution within the phase space of the system. It is in fact possible to
map non-equilibrium steady state in an equivalent system in equilibrium
conditions (Boltzmann distribution) with generalized temperature and the
inclusion of the information potential corrections. A simple model consisting
in a single free particle is discussed as elementary application of the theory.