title:
The effect of Dark Matter and Dark Energy interactions on the peculiar
  velocity field and the kinetic Sunyaev-Zel'dovich effect

abstract:
  The interaction between Dark Matter and Dark Energy has been proposed as a
mechanism to alleviate the coincidence problem. We analyze the effect of the
interaction on the evolution of the gravitational field and propose two new
observables based on its effect on the matter peculiar velocity field. We find
that for different model parameters the matter peculiar velocity could be
factor 2 times larger or 5 times smaller than the amplitude of velocity
perturbations in the concordance LCDM cosmological model at the same scales. We
compare the effect on the peculiar velocities with those on the Integrated
Sachs-Wolfe effect and we show that velocities can potentially provide
constraints on the strength of the interaction stronger than those currently
available. We show that the current upper limits on the amplitude of the
kinetic Sunyaev-Zel'dovich power spectrum provide constraints on the coupling
within the dark sectors that are consistent with those obtained previously from
the CMB and galaxy clusters. In particular, we show that current upper limits
from the Atacama Cosmology Telescope and the South Pole Telescope favor Dark
Energy decaying into Dark Matter, as required to solve the coincidence problem.


title:
Monte Carlo Simulation of Carrier Diffusion in Organic Thin Films with
  Morphological Inhomogeneity

abstract:
  Monte Carlo simulation was carried out to understand the influence of
morphological inhomogeneity on carrier diffusion in organic thin films. The
morphological inhomogeneity was considered in the simulation by incorporating
the regions of low energetic disorder in a host lattice of high energetic
disorder which decreases the overall energetic disorder of the system. For the
homogeneous films, the carrier diffusion was found to decrease upon decreasing
the energetic disorder. In contrast to this, in the case of inhomogeneous films
the carrier diffusion enhanced upon decreasing the overall energetic disorder,
up to an optimum value and beyond which the carrier diffusion decreased.
Through our simulation, we observed that the behavior of carrier diffusion in
the inhomogeneous case is due to the morphology dependent carrier spreading,
which acts in addition to the thermal and non-thermal field assisted diffusion
mechanisms. This morphological dependence of carrier spreading arises due to
the generation of packets of carriers with different jump rates, which is after
effect of slow relaxation of the carriers generated in the less disordered
regions of inhomogeneous system. Our simulation of morphology dependent carrier
spreading and its influence on the basic diffusion process provide deeper
insight into the charge transport mechanisms in organic thin films.


title: Collider constraints on Gauss-Bonnet coupling in warped geometry model

abstract:
  In this paper the requirement of a warp solution in an Einstein-Gauss-Bonnet
5D warped geometry is shown to fix the signature of Gauss-Bonnet coupling
($\alpha_{5}$). Further, imposing the phenomenological constraints, obtained
from the recently observed Higgs like scalar mass as well as $\mu$ parameter of
the decay channels ${H}_{0}\rightarrow\gamma\gamma,\tau{\bar \tau}$ explored in
ATLAS and CMS detectors, we obtain a stringent bound on $\alpha_{5}$ within
$(4.8 - 5.1)\times 10^{-7}$.


title: Dual 2d CFT Identification of Extremal Black Rings from Holes

abstract:
  Five dimensional Einstein gravity vacuum solutions in general fall into two
classes of black rings with horizon topology S^2 \times S^1, and black holes
with horizon topology S^3. These solutions are specified by their mass and two
spins. There are "overlapping" regions of this parameter space where one has
extremal rings and holes of the same spins. We show that for such regions the
hole has generically a larger entropy than the ring, and likewise, the central
charge of the proposed chiral 2d CFT dual to the hole is larger than that of
the ring. For special places of this overlapping region where one of the spins
tends to zero, the entropies of the extremal ring and hole also tend to zero
and essentially become equal. In this case we are dealing with Extremal
Vanishing Horizon (EVH) black holes or rings. The near horizon geometry of the
near-EVH hole and rings both contain locally AdS_3 throats, providing a basis
for the EVH/CFT proposal, a 2d CFT description of the low energy excitations of
EVH hole or ring. We argue how the near-EVH hole and near-EVH ring can be
distinguished from this dual 2d CFT viewpoint: The hole is a thermal state with
zero temperature in the left sector and finite temperature in the right, while
the ring is a generic state in the ground state (of the CFT on the plane) in
the left sector and a thermal state in the right. The latter is part of the
Hilbert space of the 2d CFT obtained in the Discrete Light Cone Quantization
(DLCQ).


title: Challenges of Big Data Analysis

abstract:
  Big Data bring new opportunities to modern society and challenges to data
scientists. On one hand, Big Data hold great promises for discovering subtle
population patterns and heterogeneities that are not possible with small-scale
data. On the other hand, the massive sample size and high dimensionality of Big
Data introduce unique computational and statistical challenges, including
scalability and storage bottleneck, noise accumulation, spurious correlation,
incidental endogeneity, and measurement errors. These challenges are
distinguished and require new computational and statistical paradigm. This
article give overviews on the salient features of Big Data and how these
features impact on paradigm change on statistical and computational methods as
well as computing architectures. We also provide various new perspectives on
the Big Data analysis and computation. In particular, we emphasis on the
viability of the sparsest solution in high-confidence set and point out that
exogeneous assumptions in most statistical methods for Big Data can not be
validated due to incidental endogeneity. They can lead to wrong statistical
inferences and consequently wrong scientific conclusions.


title:
Superflares on Solar Type Stars Observed with Kepler I. Statistical
  Properties of Superflares

abstract:
  By extending our previous study by Maehara et al. (2012), we searched for
superflares on G-type dwarfs (solar type stars) using Kepler data for a longer
period (500 days) than that (120 days) in our previous study. As a result, we
found 1547 superflares on 279 G-type dwarfs, which are much more than previous
365 superflares on 148 stars. Using these new data, we studied the statistical
properties of occurrence frequency of superflares, and basically confirmed the
previous results, i.e., the occurrence frequency (dN/dE) of superflares vs
flare energy (E) shows power-law distribution with dN/dE \propto E^{-\alpha},
where \alpha ~ 2. It is interesting that this distribution is roughly on the
same line as that for solar flares. In the case of the Sun-like stars (with
surface temperature 5600-6000K and slowly rotating with a period longer than 10
days), the occurrence frequency of superflares with energy of 10^34 -10^35 erg
is once in 800-5000 years.
  We also studied long term (500 days) stellar brightness variation of these
superflare stars, and found that in some G-type dwarfs the occurrence frequency
of superflares was extremely high, ~ 57 superflares in 500 days (i.e., once in
10 days). In the case of Sun-like stars, the most active stars show the
frequency of one superflares (with 10^34 erg) in 100 days. There is evidence
that these superflares have extremely large starspots with a size about 10
times larger than that of the largest sunspot. We argue that the physical
origin of extremely high occurrence frequency of superflares in these stars may
be attributed to the existence of extremely large starspots.


title: The evolution of the game of baccarat

abstract:
  The game of baccarat has evolved from a parlor game played by French
aristocrats in the first half of the 19th century to a casino game that
generated over US\$41 billion in revenue for the casinos of Macau in 2013. The
parlor game was originally a three-person zero-sum game. Later in the 19th
century it was simplified to a two-person zero-sum game. Early in the 20th
century the parlor game became a casino game, no longer zero-sum. In the mid
20th century, the strategic casino game became a nonstrategic game, with
players competing against the house instead of against each other. We argue
that this evolution was motivated by both economic and game-theoretic
considerations.


title:
Increasing Robustness of the Anesthesia Process from Difference
  Patient's Delay Using a State-Space Model Predictive Controller

abstract:
  The process of anesthesia is nonlinear with time delay and also there are
some constraints which have to be considered in calculating administrative drug
dosage. We present an Extended Kalman Filter (EKF) observer to estimate drug
concentration in the patient's body and use this estimation in a state-space
based Model of Predictive Controller (MPC) for controlling the depth of
anesthesia. Bispectral Index (BIS) is used as a patient consciousness index and
propofol as an anesthetic agent. Performance evaluations of the proposed
controller, the results have been compared with those of a MPC controller. The
results demonstrate that state-space MPC including the EKF estimator for
controlling the anesthesia process can significantly increase the robustness in
encountering patients' delay deviations in comparison with the MPC.


title:
Experimental Realization of a Nonlinear Acoustic Lens with a Tunable
  Focus

abstract:
  We realize a nonlinear acoustic lens composed of a two-dimensional array of
sphere chains interfaced with water. The chains are able to support solitary
waves which, when interfaced with a linear medium, transmit compact pulses with
minimal oscillations. When focused, the lens is able to produce compact
pressure pulses of high amplitude, the "sound bullets". We demonstrate that the
focal point can be controlled via pre-compression of the individual chains, as
this changes the wave speed within them. The experimental results agree well
both spatially and temporally with analytical predictions over a range of focus
locations.


title:
A Multi-Swarm Cellular PSO based on Clonal Selection Algorithm in
  Dynamic Environments

abstract:
  Many real-world problems are dynamic optimization problems. In this case, the
optima in the environment change dynamically. Therefore, traditional
optimization algorithms disable to track and find optima. In this paper, a new
multi-swarm cellular particle swarm optimization based on clonal selection
algorithm (CPSOC) is proposed for dynamic environments. In the proposed
algorithm, the search space is partitioned into cells by a cellular automaton.
Clustered particles in each cell, which make a sub-swarm, are evolved by the
particle swarm optimization and clonal selection algorithm. Experimental
results on Moving Peaks Benchmark demonstrate the superiority of the CPSOC its
popular methods.


title: High-energy cosmic rays measured with KASCADE-Grande

abstract:
  The detection of high-energy cosmic rays above a few hundred TeV is realized
by the observation of extensive air-showers. By using the multi-detector setup
of KASCADE-Grande, energy spectrum, elemental composition, and anisotropies of
high-energy cosmic rays in the energy range from below the knee up to 2 EeV are
investigated. In addition, the large high-quality data set permits distinct
tests of the validity of hadronic interaction models used in interpreting
air-shower measurements. After more than 16 years, the KASCADE-Grande
experiment terminated measurements end of 2012. This contribution will give an
overview of the main results of the data analysis achieved so far, and will
report about the status of KCDC, the KASCADE Cosmic-ray Data Center, where via
a web-based interface the data will be made available for the interested
public.


title:
Alternative separation of exchange and correlation energies in
  multi-configuration range-separated density-functional theory

abstract:
  The alternative separation of exchange and correlation energies proposed by
Toulouse et al. [Theor. Chem. Acc. 114, 305 (2005)] is explored in the context
of multi-configuration range-separated density-functional theory. The new
decomposition of the short-range exchange-correlation energy relies on the
auxiliary long-range interacting wavefunction rather than the Kohn-Sham (KS)
determinant. The advantage, relative to the traditional KS decomposition, is
that the wavefunction part of the energy is now computed with the regular
(fully-interacting) Hamiltonian. One potential drawback is that, because of
double counting, the wavefunction used to compute the energy cannot be obtained
by minimizing the energy expression with respect to the wavefunction
parameters. The problem is overcome by using short-range optimized effective
potentials (OEPs). The resulting combination of OEP techniques with
wavefunction theory has been investigated in this work, at the Hartree-Fock
(HF) and multi-configuration self-consistent-field (MCSCF) levels. In the HF
case, an analytical expression for the energy gradient has been derived and
implemented. Calculations have been performed within the short-range local
density approximation on H2, N2, Li2 and H2O. Significant improvements in
binding energies are obtained with the new decomposition of the short-range
energy. The importance of optimizing the short-range OEP at the MCSCF level
when static correlation becomes significant has also been demonstrated for H2,
using a finite-difference gradient. The implementation of the analytical
gradient for MCSCF wavefunctions is currently in progress.


title: On the range of random walk on graphs satisfying a uniform condition

abstract:
  We consider the range of random walks up to time n, R_n, on graphs satisfying
a uniform condition. This condition is characterized by potential theory. Not
only all vertex transitive graphs but also many non-regular graphs satisfy the
condition. We show certain weak laws of R_n from above and below. We also show
that there is a graph such that it satisfies the condition and a sequence of
the mean of R_n/n fluctuates. By noting the construction of the graph, we see
that under the condition, the weak laws are best in a sense.


title:
Calculation of Multipolar Exchange Interactions in Spin-Orbital Coupled
  Systems

abstract:
  A new method of computing multipolar exchange interaction in spin-orbit
coupled systems is developed using multipolar tensor expansion of the density
matrix in LDA+U electronic structure calculation. Within mean-field
approximation, exchange constants can be mapped into a series of total energy
calculations by pair-flip technique. Application to Uranium dioxide shows an
antiferromagnetic superexchange coupling in dipoles but ferromagnetic in
quadrupoles which is very different from past studies. Further calculation of
spin-lattice interaction indicates it is of the same order with superexchange
and characterizes the overall behavior of quadrupolar part as a competition
between them.


title: Recent progress of inverse scattering theory on non-compact manifolds

abstract:
  We give a brief survey for the recent development of inverse scattering
theory on non-compact Riemannian manifolds. The main theme is the
reconstruction of the manifold and the metric from the scattering matrix.


title:
A family of plane curves with two or more Galois points in positive
  characteristic

abstract:
  We give new examples of plane curves with two or more Galois points as a
family, and describe the number of Galois points for these curves, by using
finite fields.


title: Convergence rate of wavelet expansions of Gaussian random processes

abstract:
  The paper characterizes uniform convergence rate for general classes of
wavelet expansions of stationary Gaussian random processes. The convergence in
probability is considered.


title: Admissible Trading Strategies under Transaction Costs

abstract:
  A well known result in stochastic analysis reads as follows: for an
$\mathbb{R}$-valued super-martingale $X = (X_t)_{0\leq t \leq T}$ such that the
terminal value $X_T$ is non-negative, we have that the entire process $X$ is
non-negative. An analogous result holds true in the no arbitrage theory of
mathematical finance: under the assumption of no arbitrage, a portfolio process
$x+(H\cdot S)$ verifying $x+(H\cdot S)_T\geq 0$ also satisfies $x+(H\cdot
S)_t\geq 0,$ for all $0 \leq t \leq T$.
  In the present paper we derive an analogous result in the presence of
transaction costs. A counter-example reveals that the consideration of
transaction costs makes things more delicate than in the frictionless setting.


title:
Uniform convergence of compactly supported wavelet expansions of
  Gaussian random processes

abstract:
  New results on uniform convergence in probability for expansions of Gaussian
random processes using compactly supported wavelets are given. The main result
is valid for general classes of nonstationary processes. An application of the
obtained results to stationary processes is also presented. It is shown that
the convergence rate of the expansions is exponential.


title:
Tuning exciton and biexciton transition energies and fine structure
  splitting through hydrostatic pressure in single InGaAs quantum dots

abstract:
  We demonstrate that the exciton and biexciton emission energies as well as
exciton fine structure splitting (FSS) in single (In,Ga)As/GaAs quantum dots
(QDs) can be efficiently tuned using hydrostatic pressure in situ in an optical
cryostat at up to 4.4 GPa. The maximum exciton emission energy shift was up to
380 meV, and the FSS was up to 180 $\mu$eV. We successfully produced a
biexciton antibinding-binding transition in QDs, which is the key experimental
condition that generates color- and polarization-indistinguishable photon pairs
from the cascade of biexciton emissions and that generates entangled photons
via a time-reordering scheme. We perform atomistic pseudopotential calculations
on realistic (In,Ga)As/GaAs QDs to understand the physical mechanism underlying
the hydrostatic pressure-induced effects.


title: On the W-action on B-sheets in positive characteristic

abstract:
  Let G be a connected reductive group defined over an algebraically closed
ground field of characteristic p, let B be a Borel subgroup of G, and let X be
a G-variety. The first named author has shown that for p = 0 there is a natural
action of the Weyl group W on the (finite) set of closed B-invariant
subvarieties of X that are of maximal modularity, and conjectured that the same
construction yields a W-action whenever p is different from 2. In the present
paper we prove this conjecture.


title:
A search for varying fundamental constants using Hz-level frequency
  measurements of cold CH molecules

abstract:
  Many modern theories predict that the fundamental constants depend on time,
position, or the local density of matter. We develop a spectroscopic method for
pulsed beams of cold molecules, and use it to measure the frequencies of
microwave transitions in CH with accuracy down to 3 Hz. By comparing these
frequencies with those measured from sources of CH in the Milky Way, we test
the hypothesis that fundamental constants may differ between the high and low
density environments of the Earth and the interstellar medium. For the fine
structure constant we find \Delta\alpha/\alpha = (0.3 +/- 1.1)*10^{-7}, the
strongest limit to date on such a variation of \alpha. For the
electron-to-proton mass ratio we find \Delta\mu/\mu = (-0.7 +/- 2.2) * 10^{-7}.
We suggest how dedicated astrophysical measurements can improve these
constraints further and can also constrain temporal variation of the constants.


title: Thin subsets of groups

abstract:
  For a group $G$ and a natural number $m$, a subset $A$ of $G$ is called
$m$-thin if, for each finite subset $F$ of $G$, there exists a finite subset
$K$ of $G$ such that $|Fg\cap A|\leqslant m$ for every $g\in G\setminus K$. We
show that each $m$-thin subset of a group $G$ of cardinality $\aleph_n$, $n=
0,1,...$ can be partitioned into $\leqslant m^{n+1}$ 1-thin subsets. On the
other side, we construct a group $G$ of cardinality $\aleph_\omega$ and point
out a 2-thin subset of $G$ which cannot be finitely partitioned into 1-thin
subsets.


title:
A Radon-Nikodym type theorem for $\alpha$-completely positive maps on
  groups

abstract:
  We show that an operator valued $\alpha$-completely positive map on a group G
is given by a unitary representation of G on a Krein space which satisfies some
condition. Moreover, two unitary equivalent such unitary representations define
the same {\alpha}-completely positive map. Also we introduce a pre-order
relation on the collection of {\alpha}-completely positive maps on a group and
we characterize this relation in terms of the unitary representation associated
to each map.


title: Ultracompanions of subsets of a group

abstract:
  Let $G$ be a group, $\beta G$ is the Stone-$\check{C}$ech compactification of
$\beta G$ endowed with the structure of a right topological semigroup,
$G^*=\beta G\setminus G$. Given any subset $A$ of $G$ and $p\in G^*$, we define
the $p$-companion $\vt_p(A)=A^*\cap Gp$ of $A$, and characterize the subsets
with finite and discrete ultracompanions.


title: Unitary Representations of Unitary Groups

abstract:
  In this paper we review and streamline some results of Kirillov, Olshanski
and Pickrell on unitary representations of the unitary group $\U(\cH)$ of a
real, complex or quaternionic separable Hilbert space and the subgroup
$\U_\infty(\cH)$, consisting of those unitary operators $g$ for which $g - \1$
is compact. The Kirillov--Olshanski theorem on the continuous unitary
representations of the identity component $\U_\infty(\cH)_0$ asserts that they
are direct sums of irreducible ones which can be realized in finite tensor
products of a suitable complex Hilbert space. This is proved and generalized to
inseparable spaces. These results are carried over to the full unitary group by
Pickrell's Theorem, asserting that the separable unitary representations of
$\U(\cH)$, for a separable Hilbert space $\cH$, are uniquely determined by
their restriction to $\U_\infty(\cH)_0$. For the $10$ classical infinite rank
symmetric pairs $(G,K)$ of non-unitary type, such as $(\GL(\cH),\U(\cH))$, we
also show that all separable unitary representations are trivial.


title: New physics in $B \to K^*\mu\mu$?

abstract:
  Recent experimental results on angular observables in the rare decay $B\to
K^*\mu^+\mu^-$ show significant deviations from Standard Model predictions. We
investigate the possibility that these deviations are due to new physics.
Combining all relevant data on $b \to s$ rare decays, we show that a consistent
explanation of most anomalies can be obtained by new physics contributing
simultaneously to the semi-leptonic vector operator $O_9$ and its
chirality-flipped counterpart $O_9'$. A partial explanation is possible with
new physics in $O_9$ or in dipole operators only. We study in detail the
implications for models of new physics, in particular the minimal
supersymmetric standard model, models with partial compositeness and generic
models with flavour-changing $Z^\prime$ bosons. In all considered models,
contributions to $B\to K^*\mu^+\mu^-$ of the preferred size imply a spectrum
close to the TeV scale. We stress that measurements of CP asymmetries in $B\to
K^*\mu^+\mu^-$ could provide valuable information to narrow down possible new
physics explanations.


title:
Relationship between the symmetry energy and the single-nucleon
  potential in isospin-asymmetric nucleonic matter

abstract:
  In this contribution, we review the most important physics presented
originally in our recent publications. Some new analyses, insights and
perspectives are also provided. We showed recently that the symmetry energy
$E_{sym}(\rho)$ and its density slope $L(\rho)$ at an arbitrary density $\rho$
can be expressed analytically in terms of the magnitude and momentum dependence
of the single-nucleon potentials using the Hugenholtz-Van Hove (HVH) theorem.
These relationships provide new insights about the fundamental physics
governing the density dependence of nuclear symmetry energy. Using the isospin
and momentum (k) dependent MDI interaction as an example, the contribution of
different terms in the single-nucleon potential to the $E_{sym}(\rho)$ and
$L(\rho)$ are analyzed in detail at different densities. It is shown that the
behavior of $E_{sym}(\rho)$ is mainly determined by the first-order symmetry
potential $U_{sym,1}(\rho,k)$ of the single-nucleon potential. The density
slope $L(\rho)$ depends not only on the first-order symmetry potential
$U_{sym,1}(\rho,k)$ but also the second-order one $U_{sym,2}(\rho,k)$. Both the
$U_{sym,1}(\rho,k)$ and $U_{sym,2}(\rho,k)$ at normal density $\rho_0$ are
constrained by the isospin and momentum dependent nucleon optical potential
extracted from the available nucleon-nucleus scattering data. The
$U_{sym,2}(\rho,k)$ especially at high density and momentum affects
significantly the $L(\rho)$, but it is theoretically poorly understood and
currently there is almost no experimental constraints known.


title: ALOHA Random Access that Operates as a Rateless Code

abstract:
  Various applications of wireless Machine-to-Machine (M2M) communications have
rekindled the research interest in random access protocols, suitable to support
a large number of connected devices. Slotted ALOHA and its derivatives
represent a simple solution for distributed random access in wireless networks.
Recently, a framed version of slotted ALOHA gained renewed interest due to the
incorporation of successive interference cancellation (SIC) in the scheme,
which resulted in substantially higher throughputs. Based on similar principles
and inspired by the rateless coding paradigm, a frameless approach for
distributed random access in slotted ALOHA framework is described in this
paper. The proposed approach shares an operational analogy with rateless
coding, expressed both through the user access strategy and the adaptive length
of the contention period, with the objective to end the contention when the
instantaneous throughput is maximized. The paper presents the related analysis,
providing heuristic criteria for terminating the contention period and showing
that very high throughputs can be achieved, even for a low number for
contending users. The demonstrated results potentially have more direct
practical implications compared to the approaches for coded random access that
lead to high throughputs only asymptotically.


title: Quantum Gate Generation by T-Sampling Stabilization

abstract:
  This paper considers right-invariant and controllable driftless quantum
systems with state X(t) evolving on the unitary group U(n) and m inputs. The
T-sampling stabilization problem is introduced and solved: given any initial
condition X(0) any goal state Xg find a feedback law such that X(jT) converges
to Xg as the integer j tends to infinity. The purpose is to generate arbitrary
quantum gates corresponding to Xg. This is achieved by the tracking of
T-periodic reference trajectories that pass by Xg using the framework of
Coron's Return Method. The T-periodic reference trajectories are generated by
applying open-loop controls that are a sum of a finite number M of odd
T-periodic function whose amplitudes are parameterized by a vector. The main
result establishes that, for M big enough, X(jT) exponentially converges
towards Xg for almost all fixed amplitude vectors, with explicit and completely
constructive control laws. This paper also establishes a stochastic version of
this deterministic control law. The key idea is to randomly choose a different
amplitude vector at each sampling time jT, and keeping it fixed until the next
sampling time (j+1)T. It is also shown that X(jT) exponentially converges
towards Xg almost surely. Simulation results have indicated that the
convergence speed may be significantly improved with such stochastic technique.
This is illustrated in the generation of the C--NOT quantum logic gate on U(4).


title:
Weak Schmidt decomposition and generalized Bell basis related to
  Hadamard matrices

abstract:
  We study the mathematical structures and relations among some quantities in
the theory of quantum entanglement, such as separability, weak Schmidt
decompositions, Hadamard matrices etc.. We provide an operational method to
identify the Schmidt-correlated states by using weak Schmidt decomposition. We
show that a mixed state is Schmidt-correlated if and only if its spectral
decomposition consists of a set of pure eigenstates which can be simultaneously
diagonalized in weak Schmidt decomposition, i.e. allowing for complex-valued
diagonal entries. For such states, the separability is reduced to the
orthogonality conditions of the vectors consisting of diagonal entries
associated to the eigenstates, which is surprisingly related to the so-called
complex Hadamard matrices. Using the Hadamard matrices, we provide a variety of
generalized maximal entangled Bell bases.


title: Asymptotic properties of a random graph with duplications

abstract:
  We deal with a random graph model evolving in discrete time steps by
duplicating and deleting the edges of randomly chosen vertices. We prove the
existence of an a.s. asymptotic degree distribution, with streched exponential
decay; more precisely, the proportion of vertices of degree $d$ tends to some
positive number $c_d>0$ almost surely as the number of steps goes to infinity,
and $c_d\sim (e\pi)^{1/2} d^{1/4} e^{-2\sqrt d}$ holds as $d\to\infty$.


title:
Logical analysis of natural language semantics to solve the problem of
  computer understanding

abstract:
  An object--oriented approach to create a natural language understanding
system is considered. The understanding program is a formal system built on the
base of predicative calculus. Horn's clauses are used as well--formed formulas.
An inference is based on the principle of resolution. Sentences of natural
language are represented in the view of typical predicate set. These predicates
describe physical objects and processes, abstract objects, categories and
semantic relations between objects. Predicates for concrete assertions are
saved in a database. To describe the semantics of classes for physical objects,
abstract concepts and processes, a knowledge base is applied. The proposed
representation of natural language sentences is a semantic net. Nodes of such
net are typical predicates. This approach is perspective as, firstly, such
typification of nodes facilitates essentially forming of processing algorithms
and object descriptions, secondly, the effectiveness of algorithms is increased
(particularly for the great number of nodes), thirdly, to describe the
semantics of words, encyclopedic knowledge is used, and this permits
essentially to extend the class of solved problems.


title: Rotation and differential rotation of active Kepler stars

abstract:
  We present rotation periods for thousands of active stars in the Kepler field
derived from Q3 data. In most cases a second period close to the rotation
period was detected, which we interpreted as surface differential rotation
(DR). Active stars were selected from the whole sample using the range of the
variability amplitude. To detect different periods in the light curves we used
the Lomb-Scargle periodogram in a pre-whitening approach to achieve parameters
for a global sine fit. The most dominant periods from the fit were ascribed to
different surface rotation periods, but spot evolution could also play a role.
Due to the large number of stars the period errors were estimated in a
statistical way. We thus cannot exclude the existence of false positives among
our periods. In our sample of 40.661 active stars we found 24.124 rotation
periods $P_1$ between 0.5-45 days. The distribution of stars with 0.5 < B-V <
1.0 and ages derived from angular momentum evolution that are younger than 300
Myr is consistent with a constant star-formation rate. A second period $P_2$
within $\pm30$% of the rotation period $P_1$ was found in 18.619 stars (77.2%).
Attributing these two periods to DR we found that the relative shear
$\alpha=\Delta\Omega/\Omega$ increases with rotation period, and slightly
decreases with effective temperature. The absolute shear $\Delta\Omega$
slightly increases between $T_{eff}=3500-6000$ K. Above 6000 K $\Delta\Omega$
shows much larger scatter. We found weak dependence of $\Delta\Omega$ on
rotation period. Latitudinal differential rotation measured for the first time
in more than 18.000 stars provides a comprehensive picture of stellar surface
shear, consistent with major predictions from mean-field theory. To what extent
our observations are prone to false positives and selection bias is not fully
explored, and needs to be addressed using more Kepler data.


title: Monotone Smoothing Splines Using General Linear Systems

abstract:
  In this paper, a method is proposed to solve the problem of monotone
smoothing splines using general linear systems. This problem, also called
monotone control theoretic splines, has been solved only when the curve
generator is modeled by the second-order integrator, but not for other cases.
The difficulty in the problem is that the monotonicity constraint should be
satisfied over an interval which has the cardinality of the continuum. To solve
this problem, we first formulate the problem as a semi-infinite quadratic
programming, and then we adopt a discretization technique to obtain a
finite-dimensional quadratic programming problem. It is shown that the solution
of the finite-dimensional problem always satisfies the infinite-dimensional
monotonicity constraint. It is also proved that the approximated solution
converges to the exact solution as the discretization grid-size tends to zero.
An example is presented to show the effectiveness of the proposed method.


title:
Whitepaper on Super-weakly Interacting Massive Particles for Snowmass
  2013

abstract:
  Super-weakly interacting massive particles produced in the late decays of
weakly interacting massive particles (WIMPs) are generic in large regions of
supersymmetric parameter space and other frameworks for physics beyond the
standard model. If their masses are similar to that of the decaying WIMP, then
they could naturally account for all of the cosmological dark matter abundance.
Their astrophysical consequences and collider signatures are distinct and
different from WIMP candidates. In particular, they could modify Big Bang
Nucleosynthesis, distort the Cosmic Microwave Background, reduce galactic
substructure and lower central densities of low-mass galaxies.


title: Role of complementarity in superdense coding

abstract:
  The complementarity of two observables is often captured in uncertainty
relations, which quantify an inevitable tradeoff in knowledge. Here we study
complementarity in the context of an information processing task: we link the
complementarity of two observables to their usefulness for superdense coding
(SDC). In SDC, Alice sends two classical dits of information to Bob by sending
a single qudit. However, we show that encoding with commuting unitaries
prevents Alice from sending more than one dit per qudit, implying that
complementarity is necessary for SDC to be advantagous over a classical
strategy for information transmission. When Alice encodes with products of
Pauli operators for the $X$ and $Z$ bases, we quantify the complementarity of
these encodings in terms of the overlap of the $X$ and $Z$ basis elements. Our
main result explicitly solves for the SDC capacity as a function of the
complementarity, showing that the entropy of the overlap matrix gives the
capacity, when the preshared state is maximally entangled. We generalise this
equation to resources with symmetric noise such as a preshared Werner state. In
the most general case of arbitrary noisy resources, we obtain an analogous
lower bound on the SDC capacity. Our results shed light on the role of
complementarity in determining the quantum advantage in SDC and also seem
fundamentally interesting since they bear a striking resemblance to uncertainty
relations.


title: FACT - The First G-APD Cherenkov Telescope: Status and Results

abstract:
  The First G-APD Cherenkov telescope (FACT) is the first telescope using
silicon photon detectors (G-APD aka. SiPM). It is built on the mount of the
HEGRA CT3 telescope, still located at the Observatorio del Roque de los
Muchachos, and it is successfully in operation since Oct. 2011. The use of
Silicon devices promises a higher photon detection efficiency, more robustness
and higher precision than photo-multiplier tubes. The FACT collaboration is
investigating with which precision these devices can be operated on the
long-term. Currently, the telescope is successfully operated from remote and
robotic operation is under development. During the past months of operation,
the foreseen monitoring program of the brightest known TeV blazars has been
carried out, and first physics results have been obtained including a strong
flare of Mrk501. An instantaneous flare alert system is already in a testing
phase. This presentation will give an overview of the project and summarize its
goals, status and first results.


title:
Main restrictions in the synthesis of new superheavy elements:
  quasifission or/and fusion-fission

abstract:
  The synthesis of superheavy elements stimulates the effort to study the
peculiarities of the complete fusion with massive nuclei and to improve
theoretical models in order to extract knowledge about reaction mechanism in
heavy ion collisions at low energies. We compare the theoretical results of the
compound nucleus (CN) formation and evaporation residue (ER) cross sections
obtained for the $^{48}$Ca+$^{248}$Cm and $^{58}$Fe+$^{232}$Th reactions
leading to the formation of the isotopes A=296 and A=290, respectively, of the
new superheavy element Lv (Z=116). The ER cross sections, which can be measured
directly, are determined by the complete fusion and survival probabilities of
the heated and rotating compound nucleus. That probabilities can not be
measured unambiguously but the knowledge about them is important to study the
formation mechanism of the observed products. For this aim, the
$^{48}$Ca+$^{249}$Cf and $^{64}$Ni+$^{232}$Th reactions have been considered
too. The use of the mass values of superheavy nuclei calculated in the
framework of the macroscopic-microscopic model by Warsaw group leads to smaller
ER cross section for all of the reactions (excluding the $^{64}$Ni+$^{232}$Th
reaction) in comparison with the case of using the masses calculated by Peter
M\"oller {\it et al}.


title: Relevance of intracellular polarity to accuracy of eukaryotic chemotaxis

abstract:
  Chemotactic cells establish cell polarity in the absence of external guidance
cues. Such self-organized polarity is induced by spontaneous symmetry breaking
in the intracellular activities, which produces an emergent memory effect
associated with slow-changing mode. Therefore, spontaneously established
polarity should play a pivotal role in efficient chemotaxis. In this study, we
develop a model of chemotactic cell migration that demonstrates the connection
between intracellular polarity and chemotactic accuracy. Spontaneous polarity
formation and gradient sensing are described by a stochastic differential
equation. We demonstrate that the direction of polarity persists over a
characteristic time that is predicted to depend on the chemoattractant
concentration. Next, we theoretically derive the chemotactic accuracy as a
function of both the gradient sensing ability and the characteristic time of
polarity direction. The results indicate that the accuracy can be improved by
the polarity. Furthermore, the analysis of chemotactic accuracy suggests that
accuracy is maximized at some optimal responsiveness to extracellular
perturbations. To obtain the model parameters, we studied the correlation time
of random cell migration in cell tracking analysis of Dictyostelium cells. As
predicted, the persistence time depended on the chemoattractant concentration.
From the fitted parameters, we inferred that polarized Dictyosteium cells can
respond optimally to a chemical gradient. Chemotactic accuracy was almost 10
times larger than can be achieved by non-polarized gradient sensing. Using the
obtained parameter values, we show that polarity also improves the dynamic
range of chemotaxis.


title: FACT - How stable are the silicon photon detectors?

abstract:
  The First G-APD Cherenkov telescope (FACT) is the first telescope using
silicon photon detectors (G-APD aka. SiPM). The use of Silicon devices promise
a higher photon detection efficiency, more robustness and higher precision than
photo-multiplier tubes. Since the properties of G-APDs depend on auxiliary
parameters like temperature, a feedback system adapting the applied voltage
accordingly is mandatory.
  In this presentation, the feedback system, developed and in operation for
FACT, is presented. Using the extraction of a single photon-equivalent (pe)
spectrum as a reference, it can be proven that the sensors can be operated with
very high precision. The extraction of the single-pe, its spectrum up to
10\,pe, its properties and their precision, as well as their long-term behavior
during operation are discussed. As a by product a single pulse template is
obtained. It is shown that with the presented method, an additional external
calibration device can be omitted. The presented method is essential for the
application of G-APDs in future projects in Cherenkov astronomy and is supposed
to result in a more stable and precise operation than possible with
photo-multiplier tubes.


title:
FACT - Threshold prediction for higher duty cycle and improved
  scheduling

abstract:
  The First G-APD Cherenkov telescope (FACT) is the first telescope using
silicon photon detectors (G-APD aka. SiPM). The use of Silicon devices promise
a higher photon detection efficiency, more robustness and higher precision than
photo-multiplier tubes. Being operated during different light-conditions, the
threshold settings of a Cherenkov telescope have to be adapted to feature the
lowest possible threshold but also an efficient suppression of triggers from
night-sky background photons. Usually this threshold is set either by
experience or a mini-ratescan. Since the measured current through the sensors
is directly correlated with the noise level, the current can be used to set the
best threshold at any time. Due to the correlation between the physical
threshold and the final energy threshold, the current can also be used as a
measure for the energy threshold of any observation. This presentation
introduces a method which uses the properties of the moon and the source
position to predict the currents and the corresponding energy threshold for
every upcoming observation allowing to adapt the observation schedule
accordingly.


title: Theory of an excitonic THz laser with two-photon excitation

abstract:
  We consider theoretically THz lasing in a system consisting of a quantum well
placed inside an optical microcavity and a THz cavity in the regime of
two-photon excitation of 2p dark exciton states. The stability of the system
with varying parameters of the microcavity under coherent pumping is studied.
We show that the nonlinearity provided by two photon absorption can give rise
to bistability and hysteresis in the THz output.


title: Fluctuation Relations in Stochastic Thermodynamics

abstract:
  Fluctuation relations are identities, holding in non-equilibrium systems,
that have attracted a lot of interest in the last 20 years. This is a series of
4 lectures discussing various aspects of such relations for stochastic
equations modeling non-equilibrium processes.


title: On transverse spin sum rules

abstract:
  In this work we provide explicit calculations that support the conclusions
stated in Phys. Rev. Lett. 111, 039102 (2013) (comment), regarding recent
literature on transverse polarization. We also compare and contrast two methods
of deriving spin sum rules.


title: Scaling of cluster growth for coagulating active particles

abstract:
  Cluster growth in a coagulating system of active particles (such as
microswimmers in a solvent) is studied by theory and simulation. In contrast to
passive systems, the net velocity of a cluster can have various scalings
dependent on the propulsion mechanism and alignment of individual particles.
Additionally, the persistence length of the cluster trajectory typically
increases with size. As a consequence, a growing cluster collects neighbouring
particles in a very efficient way and thus amplifies its growth further. This
results in unusual large growth exponents for the scaling of the cluster size
with time and, for certain conditions, even leads to "explosive" cluster growth
where the cluster becomes macroscopic in a finite amount of time.


title:
The gravitational wave strain in the characteristic formalism of
  numerical relativity

abstract:
  The extraction of the gravitational wave signal, within the context of a
characteristic numerical evolution is revisited. A formula for the
gravitational wave strain is developed and tested, and is made publicly
available as part of the PITT code within the Einstein Toolkit. Using the new
strain formula, we show that artificial non-linear drifts inherent in time
integrated waveforms can be reduced for the case of a binary black hole merger
configuration. For the test case of a rapidly spinning stellar core collapse
model, however, we find that the drift must have different roots.


title:
Solving Hodgkin-Huxley equations using the compact difference scheme -
  somadendrite

abstract:
  Dendrites have voltage-gated ion channels which aid in production of action
potentials. Thus dendrites are not just passive conductors of information, but
actively act on the incoming input. Here we assume Hodgkin-Huxley formulations
of voltage-gated ion channels on the dendrite. These equations are normally
solved by some form of central difference scheme or the spectral methods. We
use a compact finite-difference scheme to solve these equations. This scheme
gives spectral-like spatial resolution while being easier to solve than
spectral methods. The scheme has shown to be able to reproduce the results from
spectral methods. In this paper cylindrical dendrites are described. It may
also be noted that the compact difference scheme can be used to solve any other
PDE both in biological as well as non biological systems. It is increasingly
used in studying turbulence in airflow.


title:
First Principles Investigations of the Atomic, Electronic, and
  Thermoelectric Properties of Equilibrium and Strained Bi2Se3 & Bi2Te3, with
  van der Waals Interactions

abstract:
  Bi2Se3 and Bi2Te3 are layered compounds of technological importance, being
excellent thermoelectric materials as well as topological insulators. We report
density functional theory calculations of the atomic, electronic and
thermoelectric properties of strained bulk and thin film Bi2Se3 and Bi2Te3,
focusing on an appropriate description of van der Waals interactions. The
calculations show that the van der Waals Density functional with Cooper's
exchange can reproduce closely the experimental interlayer distances in
unstrained Bi2Se3 and Bi2Te3. Interestingly, we predict atomic structures that
are in much better agreement with the experimentally determined structure from
Nakajima than that obtained from Wyckoff, especially for Bi2Se3 where the
difference in atomic structures qualitatively changes the electronic band
structure. The band structure obtained using the Nakajima structure, and the
theoretically optimized structure, are in much better agreement with previous
reports of photoemission measurements, than that obtained using the Wyckoff
structure. Fully optimizing atomic structures of bulk and thin film Bi2Se3 and
Bi2Te3 under different in-plane and uniaxial strains, we predict that the
electronic band gap of both the bulk materials and thin films decreases with
tensile in-plane strain and increases with compressive in-plane strain. We also
predict, using the semiclassical Boltzmann approach, that the magnitude of the
n-type Seebeck coefficient of Bi2Te3 can be increased by the compressive
in-plane strain, while that of Bi2Se3 can be increased with tensile in-plane
strain. Further, the in-plane power factor of n-doped Bi2Se3 can be increased
with compressive uniaxial strain, while that of n-doped Bi2Te3 can be increased
by compressive in-plane strain. ...


title: Stationary States of the Generalized Jackson Networks

abstract:
  We consider Jackson Networks on general countable graphs and with arbitrary
service times. We find natural sufficient conditions for existence and
uniqueness of stationary distributions. They generalise these obtained earlier
by Kelbert, Kontsevich and Rybko.


title: Composite Particles and the Szilard Engine

abstract:
  The Szilard engine is the simplest possible engine, composed only of one or
more particles in a box. The box is then immersed in a heat bath and
partitioned into two parts by a wall. It is known that in the cold temperature
limit, one may extract more work out of elementary boson than out of elementary
fermions. In this paper, we consider the amount of work that can be extracted
out of a system of composite particles -- particles which are composed of two
interacting elementary fermions of different species. We demonstrate that the
amount of work extracted is closely tied to the amount of entanglement within
the composite particles


title: Compressed SUSY at 14 TeV LHC

abstract:
  In this work we study the collider phenomenology of a compressed
supersymmetric model with gluino and the lightest neutralino. All other
sparticles are assumed to be heavy. We consider gluino pair production at the
14 TeV LHC and present the mass reach of gluino as a function of mass splitting
between gluino and the the lightest neutralino. We find that the gluino mass
below 1 TeV can be excluded at 95% CL with integrated luminosity of 100
fb$^{-1}$ for extreme degenerate case where mass separation between gluino and
the lightest neutralino is about 20 GeV. On the other hand, the lower bound on
the mass of gluino increases to 1.2 - 1.3 TeV if the mass splitting between the
gluino and neutralino is about 200 GeV. This result shows that for degenerate
gluino, the current mass limit may extend approximately 400-500 GeV at 14 TeV
LHC.


title:
Insights into the semiclassical Wigner treatment of bimolecular
  collisions

abstract:
  The semiclassical Wigner treatment of bimolecular collisions, proposed by Lee
and Scully on a partly intuitive basis [J. Chem. Phys. 73, 2238 (1980)], is
derived here from first principles. The derivation combines E. J. Heller's
ideas [J. Chem. Phys. 62, 1544 (1975); 65, 1289 (1976); 75, 186 (1981)], the
backward picture of molecular collisions [L. Bonnet, J. Chem. Phys. 133, 174108
(2010)] and the microreversibility principle.


title:
Almost quantum adiabatic dynamics and generalized time dependent wave
  operators

abstract:
  We consider quantum dynamics for which the strict adiabatic approximation
fails but which do not escape too far from the adiabatic limit. To treat these
systems we introduce a generalisation of the time dependent wave operator
theory which is usually used to treat dynamics which do not escape too far from
an initial subspace called the active space. Our generalisation is based on a
time dependent adiabatic deformation of the active space. The geometric phases
associated with the almost adiabatic representation are also derived. We use
this formalism to study the adiabaticity of a dynamics surrounding an
exceptional point of a non-hermitian hamiltonian. We show that the generalized
time dependent wave operator can be used to correct easily the adiabatic
approximation which is very unperfect in this situation.


title:
The Lie algebra of the fundamental group of a surface as a symplectic
  module

abstract:
  This note provides a formula for the character of the Lie algebra of the
fundamental group of a surface, viewed as a module over the symplectic group.


title: Propagation of UHECRs in the Universe

abstract:
  The origin, propagation, and mechanisms of acceleration of the ultra-high
energy cosmic rays (UHECRs) are not yet well understood. Aiming for a better
interpretation of the available experimental data, these data have to be
confronted with theoretical models. A realistic simulation of the propagation
of UHECRs in the universe should take into account all the relevant energy loss
processes due to the interaction with astrophysical backgrounds, as well as the
intervening cosmic magnetic fields. Cosmological effects, such as the redshift
dependence of the photon backgrounds and the adiabatic expansion of the
universe can play an important role in the aforementioned processes. Here we
present results of simulations of the propagation of UHECR through the large
scale structure of the universe considering cosmological and magnetic field
effects simultaneously.


title: Model-free measure of coupling from embedding principle

abstract:
  A model-free measure of coupling between dynamical variables is built from
time series embedding principle. The approach described does not require a
mathematical form for the dynamics to be assumed. The approach also does not
require density estimation which is an intractable problem in high dimensions.
The measure has strict asymptotic bounds and is robust to noise. The proposed
approach is used to demonstrate coupling between complex time series from the
finance world.


title: Complicial structures in the nerves of omega-categories

abstract:
  It is known that strict omega-categories are equivalent through the nerve
functor to complicial sets and to sets with complicial identities. It follows
that complicial sets are equivalent to sets with complicial identities. We
discuss these equivalences. In particular we give a conceptual proof that the
nerves of omega-categories are complicial sets, and a direct proof that
complicial sets are sets with complicial identities.


title:
Topological Structure of Urban Street Networks from the Perspective of
  Degree Correlations

abstract:
  Many complex networks demonstrate a phenomenon of striking degree
correlations, i.e., a node tends to link to other nodes with similar (or
dissimilar) degrees. From the perspective of degree correlations, this paper
attempts to characterize topological structures of urban street networks. We
adopted six urban street networks (three European and three North American),
and converted them into network topologies in which nodes and edges
respectively represent individual streets and street intersections, and
compared the network topologies to three reference network topologies
(biological, technological, and social). The urban street network topologies
(with the exception of Manhattan) showed a consistent pattern that distinctly
differs from the three reference networks. The topologies of urban street
networks lack striking degree correlations in general. Through reshuffling the
network topologies towards for example maximum or minimum degree correlations
while retaining the initial degree distributions, we found that all the
surrogate topologies of the urban street networks, as well as the reference
ones, tended to deviate from small world properties. This implies that the
initial degree correlations do not have any positive or negative effect on the
networks' performance or functions.
  Keywords: Scale free, small world, rewiring, rich club effect, reshuffle, and
complex networks


title:
Magnetic fluctuations and spin freezing in nonsuperconducting LiFeAs
  derivatives

abstract:
  We present detailed magnetometry and muon-spin rotation data on
polycrystalline samples of overdoped, non-superconducting LiFe$_{1-x}$Ni$_x$As
($x = 0.1,\,0.2$) and Li$_{1-y}$Fe$_{1+y}$As ($0\leq y\leq 0.04$) as well as
superconducting LiFeAs. While LiFe$_{1-x}$Ni$_x$As exhibits weak
antiferromagnetic fluctuations down to $1.5\,{\rm K}$, Li$_{1-y}$Fe$_{1+y}$As
samples, which have a much smaller deviation from the $1:1:1$ stoichiometry,
show a crossover from ferromagnetic to antiferromagnetic fluctuations on
cooling and a freezing of dynamically fluctuating moments at low temperatures.
We do not find any signatures of time-reversal symmetry breaking in
stoichiometric LiFeAs that would support recent predictions of triplet pairing.


title: Vortices and Other Topological Solitons in Dense Quark Matter

abstract:
  In this review, we discuss various properties of topological solitons in
dense QCD matter, with a particular emphasis on the CFL phase exhibiting
superfluidity and superconductivity, and their phenomenological implications in
terms of the effective field theories such as the Ginzburg-Landau theory, the
chiral Lagrangian, or the Bogoliubov--de Gennes equation. The most fundamental
topological excitations are non-Abelian vortices, which are 1/3 quantized
superfluid vortices and color magnetic flux tubes. They are created at a phase
transition or a rotation such compact stars. The intervortex-interaction is
repulsive and consequently a vortex lattice is formed. Bosonic and fermionic
zero-energy modes are trapped in the vortex core and propagate along it as
gapless excitations. The former consists of translational zero modes (a Kelvin
mode) with a quadratic dispersion and CP(2) Nambu-Goldstone gapless modes with
a linear dispersion, while the latter is the triplet Majorana fermion zero
modes. The low-energy effective theory of the bosonic zero modes is a
non-relativistic free complex scalar field and a CP(2) model in 1+1 dimensions.
The effects of strange quark mass, electromagnetic interactions and
non-perturbative quantum corrections are taken into account. Colorful boojums
at the CFL interface, quantum color magnetic monopole confined by vortices,
which supports the notion of quark-hadron duality, and Yang-Mills instantons
inside a vortex as lumps are discussed. The interactions between a vortex and
quasi-particles such as phonons, gluons, mesons, and photons are studied. A
vortex lattice is shown to behave as a cosmic polarizer. Non-Abelian vortices
are shown to behave as a novel kind of non-Abelian anyons. For the chiral
symmetry breaking, we discuss fractional and integer axial domain walls,
Abelian and non-Abelian axial vortices, axial wall-vortex composites, and
Skyrmions.

categories: hep-ph astro-ph.HE cond-mat.supr-con hep-th


title:
A Parallel Algorithm for Calculation of Large Determinants with High
  Accuracy for GPUs and MPI clusters

abstract:
  We present a parallel algorithm for calculating very large determinants with
arbitrary precision on computer clusters. This algorithm minimises data
movements between the nodes and computes not only the determinant but also all
minors corresponding to a particular row or column at a little extra cost, and
also the determinants and minors of all submatrices in the top left corner at
no extra cost. We implemented the algorithm in arbitrary precision arithmetic,
suitable for very ill conditioned matrices, and empirically estimated the loss
of precision. The algorithm was applied to studies of Riemann's zeta function.


title:
Stability of equilibrium configurations of elastic films in two and
  three dimensions

abstract:
  We establish a local minimality sufficiency criterion, based on the strict
positivity of the second variation, in the context of a variational model for
the epitaxial growth of elastic films. Our result holds also in the
three-dimensional case and for a general class of nonlinear elastic energies.
Applications to the study of the local minimality of flat morphologies are also
shown.


title:
The metal-insulator transition in disordered solids: How theoretical
  prejudices influence its characterization. A critical review of analyses of
  experimental data

abstract:
  In a recent experiment, Siegrist et al. [Nature Materials 10, 202 (2011)]
investigated the metal-insulator transition (MIT) of GeSb_2Te_4 on increasing
annealing temperature. The authors conclude that this material exhibits a
discontinuous MIT with a finite minimum metallic conductivity. The striking
contrast to reports on other disordered substances motivates the present
in-depth study of the influence of the MIT criterion used on the
characterization of the MIT. First, we discuss in detail the inherent biases of
the various available approaches to locating the MIT. Second, reanalyzing the
GeSb_2Te_4 measurements, we show that this material resembles other disordered
solids to a large extent: according to a widely-used approach, these data may
also be interpreted in terms of a continuous MIT. Checking the justification of
the respective fits, however, uncovers inconsistencies in the experimental
data. Third, comparing with previous experimental studies of crystalline Si:As,
Si:P, Si:B, Ge:Ga, CdSe:In, n-Cd_{0.95}Mn$_{0.05}Se,
Cd_{0.95}Mn_{0.05}Te_{0.97}Se_{0.03}:In, disordered Gd, and nano-granular Pt-C,
we show that such an inconclusive behavior occurs frequently: the analysis of
the logarithmic temperature derivative of the conductivity highlights serious
inconsistencies in the original interpretations in terms of a continuous MIT.
In part, they are common to all these studies and seem to be generic, in part,
they vary from experiment to experiment and may arise from measurement
problems. Thus, the question for the character of the MIT of these materials
has to be considered as yet open. The challenges now lie in improving the
measurement precision and in developing a microscopic theory capable of
explaining the seemingly generic features.


title: Hardware-based Security for Virtual Trusted Platform Modules

abstract:
  Virtual Trusted Platform modules (TPMs) were proposed as a software-based
alternative to the hardware-based TPMs to allow the use of their cryptographic
functionalities in scenarios where multiple TPMs are required in a single
platform, such as in virtualized environments. However, virtualizing TPMs,
especially virutalizing the Platform Configuration Registers (PCRs), strikes
against one of the core principles of Trusted Computing, namely the need for a
hardware-based root of trust. In this paper we show how strength of
hardware-based security can be gained in virtual PCRs by binding them to their
corresponding hardware PCRs. We propose two approaches for such a binding. For
this purpose, the first variant uses binary hash trees, whereas the other
variant uses incremental hashing. In addition, we present an FPGA-based
implementation of both variants and evaluate their performance.


title: On the PSR B1133+16 optical counterpart

abstract:
  The aim of this work is confirming the optical identification of PSR
B1133+16, whose candidate optical counterpart was detected in Very Large
Telescope (VLT) images obtained back in 2003. We used new deep optical images
of the PSR B1133+16 field obtained with both the 10.4 m Gran Telescopio
Canarias (GTC) and the VLT in the g' and B bands, respectively, to confirm the
detection of its candidate optical counterpart and its coincidence with the
most recent pulsar's radio coordinates. We did not detect any object at the
position of the pulsar candidate counterpart (B~28), measured in our 2003 VLT
images. However, we tentatively detected an object of comparable brightness in
both the 2012 GTC and VLT images, whose position is offset by ~3.03" from that
of the pulsar's candidate counterpart in the 2003 VLT images and lies along the
pulsar's proper motion direction. Accounting for the time span of ~9 years
between the 2012 quasi-contemporary GTC and VLT images and the 2003 VLT one,
this offset is consistent with the yearly displacement of the pulsar due to its
proper motion. Therefore, both the flux of the object detected in the 2012 GTC
and VLT images and its position, consistent with the proper motion-corrected
pulsar radio coordinates, suggest that we have detected the candidate pulsar
counterpart that has moved away from its 2003 discovery position.


title: Initiation stage of nanosecond breakdown in liquid

abstract:
  In this paper, based on a theoretical model [1], it has been shown
experimentally that the initial stage of development of a nanosecond breakdown
in liquids is associated with the appearance of discontinuities in the liquid
(cavitation) under the influence of electrostriction forces. Comparison of
experimentally measured area dimensions and its temporal development were found
to be in a good agreement with the theoretical calculations.


title:
Effect of size and aspect ratio on structural parameters and evidence of
  shape transition in zinc oxide nanostructures

abstract:
  Dependence of structural parameters on the size of nanoparticles is a topic
of general interest where the effect of shape is often neglected. We report a
comprehensive study on size dependent structural parameters of ZnO
nanostructures (NS) having a wide range of aspect ratios (length/diameter). It
reveals that with increase in size, ZnO NS undergo a shape transition from
spherical to rod like morphology that induces sudden change in internal
parameter (u) which represents relative position of two hexagonal close-packed
sublattices. The change in u introduces concomitant changes in anion-cation
(Zn-O) bond lengths as well as bond angles and thereby bears a linear
dependence with the aspect ratio (AR). Further, the unit cell volume and
microstrain decrease with increase in particle size and show a drastic
reduction when flat crystal faces begin to appear at the spherical surface
(AR~1.3). The significant change in structural parameters associated with the
shape transition arises due to surface dipole induced electrostatic relaxation
that may be further influenced by interaction with the ambient gases as
evidenced from the Extended X-ray Absorption Fine Structure (EXAFS)
measurement. The present study addresses the underlying reasons of shape
induced change in structural and electronic properties of ZnO NS.


title:
Correspondence of phase transition points and singularities of
  thermodynamic geometry of black holes

abstract:
  We explore a formulation of thermodynamic geometry of black holes and prove
that the divergent points of the specific heat correspond exactly to the
singularities of the thermodynamic curvature. We investigate this
correspondence for different types of black holes. This formulation can also be
applied to an arbitrary thermodynamic system.


title:
Energy bounds for the two-dimensional Navier-Stokes equations in an
  infinite cylinder

abstract:
  We consider the incompressible Navier-Stokes equations in the cylinder $\R
\times \T$, with no exterior forcing, and we investigate the long-time behavior
of solutions arising from merely bounded initial data. Although we do not know
if such solutions stay uniformly bounded for all times, we prove that they
converge in an appropriate sense to the family of spatially homogeneous
equilibria as $t \to \infty$. Convergence is uniform on compact subdomains, and
holds for all times except on a sparse subset of the positive real axis. We
also improve the known upper bound on the $L^\infty$ norm of the solutions,
although our results in this direction are not optimal. Our approach is based
on a detailed study of the local energy dissipation in the system, in the
spirit of a recent work devoted to a class of dissipative partial differential
equations with a formal gradient structure (arXiv:1212.1573).


title: KdV soliton interactions: a tropical view

abstract:
  Via a "tropical limit" (Maslov dequantization), Korteweg-deVries (KdV)
solitons correspond to piecewise linear graphs in two-dimensional space-time.
We explore this limit.


title: Double Compact Objects II: Cosmological Merger Rates

abstract:
  The development of advanced gravitational wave (GW) observatories, such as
Advanced LIGO and Advanced Virgo, provides impetus to refine theoretical
predictions for what these instruments might detect. In particular, with the
range increasing by an order of magnitude, the search for GW sources is
extending beyond the "local" Universe and out to cosmological distances. Double
compact objects (neutron star-neutron star (NS-NS), black hole-neutron star
(BH-NS) and black hole-black hole (BH-BH) systems) are considered to be the
most promising gravitational wave sources. In addition, NS-NS and/or BH-NS
systems are thought to be the progenitors of gamma ray bursts (GRBs), and may
also be associated with kilonovae. In this paper we present the merger event
rates of these objects as a function of cosmological redshift. We provide the
results for four cases, each one investigating a different important evolution
parameter of binary stars. Each case is also presented for two metallicity
evolution scenarios. We find that (i) in most cases NS-NS systems dominate the
merger rates in the local Universe, while BH-BH mergers dominate at high
redshift; (ii) BH-NS mergers are less frequent than other sources per unit
volume, for all time; and (iii) natal kicks may alter the observable properties
of populations in a significant way, allowing the underlying models of binary
evolution and compact object formation to be easily distinguished. This is the
second paper in a series of three. The third paper will focus on calculating
the detection rates of mergers by gravitational wave telescopes.


title: Uniform Asymptotic Methods for Integrals

abstract:
  We give an overview of basic methods that can be used for obtaining
asymptotic expansions of integrals: Watson's lemma, Laplace's method, the
saddle point method, and the method of stationary phase. Certain developments
in the field of asymptotic analysis will be compared with De Bruijn's book {\em
Asymptotic Methods in Analysis}. The classical methods can be modified for
obtaining expansions that hold uniformly with respect to additional parameters.
We give an overview of examples in which special functions, such as the
complementary error function, Airy functions, and Bessel functions, are used as
approximations in uniform asymptotic expansions.


title:
H.E.S.S. contributions to the 33rd International Cosmic Ray Conference
  (ICRC2013)

abstract:
  H.E.S.S. contributions to the proceedings of the 33rd International Cosmic
Ray Conference (ICRC2013) in Rio de Janeiro (Brazil)


title:
Abundance gradients in spiral disks: is the gradient inversion at high
  redshift real?

abstract:
  We compute the abundance gradients along the disk of the Milky Way by means
of the two-infall model: in particular, the gradients of oxygen and iron and
their temporal evolution. First, we explore the effects of several physical
processes which influence the formation and evolution of abundance gradients.
They are: i) the inside-out formation of the disk, ii) a threshold in the gas
density for star formation, iii) a variable star formation efficiency along the
disk, iv) radial flows and their speed, and v) different total surface mass
density (gas plus stars) distributions for the halo. We are able to reproduce
at best the present day gradients of oxygen and iron if we assume an inside-out
formation, no threshold gas density, a constant efficiency of star formation
along the disk and radial gas flows. It is particularly important the choice of
the velocity pattern for radial flows and the combination of this velocity
pattern with the surface mass density distribution in the halo. Having selected
the best model, we then explore the evolution of abundance gradients in time
and find that the gradients in general steepen in time and that at redshift z~3
there is a gradient inversion in the inner regions of the disk, in the sense
that at early epochs the oxygen abundance decreases toward the Galactic center.
This effect, which has been observed, is naturally produced by our models if an
inside-out formation of the disk and and a constant star formation efficiency
are assumed. The inversion is due to the fact that in the inside-out formation
a strong infall of primordial gas, contrasting chemical enrichment, is present
in the innermost disk regions at early times. The gradient inversion remains
also in the presence of radial flows, either with constant or variable speed in
time, and this is a new result.


title: Evolution of quasi-history in a Physics Textbook

abstract:
  The primary aim, in teaching physics, is that the student should gain an
understanding of the principles of physics and how to apply them to different
problems. A secondary aim is to allow the students to appreciate the scientific
approach and significance of it in the evolution of science and society. One
approach for the second aim has been to include 'historical material' in
physics textbooks. The quantity of the historical material included is quite
diverse, from textbooks with a very strong historical approach to others
without any historical material. The quality of the material included is also
diverse. In this article we focus on the development of the historical
material, i.e. a certain historical development, in a specific textbook (Sears
& Zemansky's University Physics) over a number of editions. The aim is to see
when and how the historical material is included and how well it describes the
actual history. Will the physics adapt to history or vice-verse. The event of
interest is the introduction of the Blackbody radiation formula or Planck's
radiation formula. This is well known out of an historical perspective, but
also a case where a quasi-historical is quite common in textbooks.


title: Injective Objects of Monomorphism Categories

abstract:
  For an acyclic quiver $Q$ and a finite-dimensional algebra $A$, we give a
unified form of the indecomposable injective objects in the monomorphism
category ${\rm Mon}(Q,A)$ and prove that ${\rm Mon}(Q, A)$ has enough injective
objects. As applications, we show that for a given self-injective algebra $A$,
a tilting object in the stable category $\underline{A}$-mod induces a natural
tilting object in the stable monomorphism category $\underline{\rm Mon}(Q,A)$.
We also realize the singularity category of the algebra $kQ\otimes_k A$ as the
stable monomorphism category of the module category of $A$.


title: Acceptance Rates in Physical Review Letters: No Seasonal Bias

abstract:
  Are editorial decisions biased? A recent discussion in Learned Publishing has
focused on one aspect of potential bias in editorial decisions, namely seasonal
(e.g., monthly) variations in acceptance rates of research journals. In this
letter, we contribute to the discussion by analyzing data from Physical Review
Letters (PRL), a journal published by the American Physical Society. We studied
the 190,106 papers submitted to PRL from January 1990 until September 2012. No
statistically significant variations were found in the monthly acceptance
rates. We conclude that the time of year that the authors of a paper submit
their work to PRL has no effect on the fate of the paper through the review
process.


title: Neutronics Analysis of the ITER In-Vessel Viewing System

abstract:
  The In-Vessel Viewing System (IVVS) in ITER consists of six identical units
which are deployed between pulses or during shutdown, to perform visual
examination and metrology of plasma facing components. The system is housed in
dedicated ports at B1 level, with deployment at the level between the divertor
cassettes and the lowermost outboard blanket modules. Boron carbide shielding
blocks are envisaged to protect the sensitive components of the IVVS from
damage during operations, and personnel from radiation fields. In order to
progress the design of the IVVS beyond the pre-conceptual stage, analyses were
conducted using MCNP to determine the acceptability of a series of different
shielding configurations.


title: The Wisdom of Citing Scientists

abstract:
  This Brief Communication discusses the benefits of citation analysis in
research evaluation based on Galton's "Wisdom of Crowds" (1907). Citations are
based on the assessment of many which is why they can be ascribed a certain
amount of accuracy. However, we show that citations are incomplete assessments
and that one cannot assume that a high number of citations correlate with a
high level of usefulness. Only when one knows that a rarely cited paper has
been widely read is it possible to say (strictly speaking) that it was
obviously of little use for further research. Using a comparison with 'like'
data, we try to determine that cited reference analysis allows a more
meaningful analysis of bibliometric data than times-cited analysis.


title: The X-ray/UV absorber in NGC 4593

abstract:
  We present the results of a recent (March 2011) 160 ks Chandra-LETGS
observation of the Seyfert galaxy NGC 4593, and the analysis of archival X-ray
and UV spectra taken with XMM-Newton and HST/STIS in 2002. We find evidence of
a multi-component warm absorber (WA) in the X-rays with four distinct
ionisation degrees (log xi = 1.0, log xi = 1.7, log xi = 2.4, and log xi = 3.0)
outflowing at several hundreds of km/s. In the UV we detect 15 kinematic
components in the absorbers, blueshifted with respect to the systemic velocity
of the source, ranging from -60 km/s to -1520 km/s. Although the predicted CIV
and NV column densities from the low-ionisation X-ray outflow are in agreement
with those measured for some components in the STIS spectrum, there are
kinematic discrepancies that may prevent both the X-ray and UV absorbers from
originating in the same intervening gas. We derive upper limits on the location
of the absorbers finding that the high-ionisation gas lie within ~6 - 29 pc
from the central ionising source, while the low-ionisation gas is located at
several hundreds of pc. This is consistent with our line of sight passing
through different parts of a stratified wind. The total kinetic energy of the
outflows injected into the surroundings of the host galaxy only accounts for a
tiny fraction of the bolometric luminosity of the source, and it is therefore
unlikely that they may cause a significant impact in the interstellar medium of
NGC 4593 in a given single episode of activity.


title: On the Independent Set and Common Subgraph Problems in Random Graphs

abstract:
  In this paper, we develop efficient exact and approximate algorithms for
computing a maximum independent set in random graphs. In a random graph $G$,
each pair of vertices are joined by an edge with a probability $p$, where $p$
is a constant between $0$ and $1$. We show that, a maximum independent set in a
random graph that contains $n$ vertices can be computed in expected computation
time $2^{O(\log_{2}^{2}{n})}$. Using techniques based on enumeration, we
develop an algorithm that can find a largest common subgraph in two random
graphs in $n$ and $m$ vertices ($m \leq n$) in expected computation time
$2^{O(n^{\frac{1}{2}}\log_{2}^{\frac{5}{3}}{n})}$. In addition, we show that,
with high probability, the parameterized independent set problem is fixed
parameter tractable in random graphs and the maximum independent set in a
random graph in $n$ vertices can be approximated within a ratio of
$\frac{2n}{2^{\sqrt{\log_{2}{n}}}}$ in expected polynomial time.


title:
Anomalous non-additive dispersion interactions in systems of three
  one-dimensional wires

abstract:
  The non-additive dispersion contribution to the binding energy of three
one-dimensional (1D) wires is investigated using wires modelled by (i) chains
of hydrogen atoms and (ii) homogeneous electron gases. We demonstrate that the
non-additive dispersion contribution to the binding energy is significantly
enhanced compared with that expected from Axilrod-Teller-Muto-type
triple-dipole summations and follows a different power-law decay with
separation. The triwire non-additive dispersion for 1D electron gases scales
according to the power law $d^{-\beta}$, where $d$ is the wire separation, with
exponents $\beta(r_s)$ smaller than 3 and slightly increasing with $r_s$ from
2.4 at $r_s = 1$ to 2.9 at $r_s=10$, where $r_s$ is the density parameter of
the 1D electron gas. This is in good agreement with the exponent $\beta=3$
suggested by the leading-order charge-flow contribution to the triwire
non-additivity, and is a significantly slower decay than the $\sim d^{-7}$
behaviour that would be expected from triple-dipole summations.

categories: cond-mat.mes-hall physics.atm-clus physics.comp-ph quant-ph


title: Orbital ordering induced ferroelectricity in SrCrO3

abstract:
  Using density functional theory calculations, ultrathin films of SrVO3(d1)
and SrCrO3(d2) on SrTiO3 substrates have been studied as possible
multiferroics. Although both are metallic in the bulk limit, they are found to
be insulating as a result of orbital ordering driven by lattice distortions at
the ultrathin limit. While the distortions in SrVO3 have a first-order
Jahn-Teller origin, those in SrCrO3 are ferroelectric in nature. This route to
ferroelectricity (FE) results in polarizations comparable with conventional
ferroelectrics.


title:
Consistent distribution-free tests of association between univariate
  random variables

abstract:
  We consider the problem of testing whether pairs of univariate random
variables are associated. Few tests of independence exist that are consistent
against all dependent alternatives and are distribution free. We propose novel
tests that are consistent, distribution free, and have excellent power
properties. The tests have simple form, and are surprisingly computationally
efficient thanks to accompanying innovative algorithms we develop. Moreover, we
show that one of the test statistics is a consistent estimator of the mutual
information. We demonstrate the good power properties in simulations, and apply
the tests to a microarray study where many pairs of genes are examined
simultaneously for co-dependence.


title: The bold/timorous walker on the trek from home

abstract:
  We study a one-dimensional random walk with memory. The behavior of the
walker is modified with respect to the simple symmetric random walk (SSRW) only
when he is at the maximum distance ever reached from his starting point (home).
In this case, having the choice to move farther or to move closer, he decides
with different probabilities. If the probability of a forward step is higher
then the probability of a backward step, the walker is bold, otherwise he is
timorous. We investigate the asymptotic properties of this bold/timorous random
walk (BTRW) showing that the scaling behavior vary continuously from
subdiffusive (timorous) to superdiffusive (bold). The scaling exponents are
fully determined with a new mathematical approach.


title:
Integrable Approximation of Regular Islands: The Iterative Canonical
  Transformation Method

abstract:
  Generic Hamiltonian systems have a mixed phase space, where classically
disjoint regions of regular and chaotic motion coexist. We present an iterative
method to construct an integrable approximation, which resembles the regular
dynamics of a given mixed system and extends it into the chaotic region. The
method is based on the construction of an integrable approximation in action
representation which is then improved in phase space by iterative applications
of canonical transformations. This method works for strongly perturbed systems
and arbitrary degrees of freedom. We apply it to the standard map and the
cosine billiard.


title: Nearly optimal Bernoulli factories for linear functions

abstract:
  Suppose that $X_1,X_2,\ldots$ are independent identically distributed
Bernoulli random variables with mean $p$. A Bernoulli factory for a function
$f$ takes as input $X_1,X_2,\ldots$ and outputs a random variable that is
Bernoulli with mean $f(p).$ A fast algorithm is a function that only depends on
the values of $X_1,\ldots,X_T$, where $T$ is a stopping time with small mean.
When $f(p)$ is a real analytic function the problem reduces to being able to
draw from linear functions $Cp$ for a constant $C > 1$. Also it is necessary
that $Cp \leq 1 - \epsilon$ for known $\epsilon > 0$. Previous methods for this
problem required extensive modification of the algorithm for every value of $C$
and $\epsilon$. These methods did not have explicit bounds on $\text{E}[T]$ as
a function of $C$ and $\epsilon$. This paper presents the first Bernoulli
factory for $f(p) = Cp$ with bounds on $\text{E}[T]$ as a function of the input
parameters. In fact, $\sup_{p \in [0,(1-\epsilon)/C]} \text{E}[T] \leq
9.5C\epsilon^{-1}.$ In addition, this method is very simple to implement.
Furthermore, a lower bound on the average running time of any $Cp$ Bernoulli
factory is shown. For $\epsilon \leq 1/2$, $\sup_{p \in [0,(1 - \epsilon)/C]}
\text{E}[T] \geq 0.004 C \epsilon^{-1}$, so the new method is optimal up to a
constant in the running time.


title:
Properties of the first excited state of 9Be derived from (gamma,n) and
  (e,e') reactions

abstract:
  Properties of the first excited state of the nucleus 9Be are discussed based
on recent (e,e') and (gamma,n) experiments. The parameters of an R-matrix
analysis of different data sets are consistent with a resonance rather than a
virtual state predicted by some model calculations. The energy and the width of
the resonance are deduced. Their values are rather similar for all data sets,
and the energy proves to be negative. It is argued that the disagreement
between the extracted B(E1) values may stem from different ways of integration
of the resonance. If corrected, fair agreement between the (e,e') and one of
the (gamma,n) data sets is found. A recent (gamma,n) experiment at the HIgS
facility exhibits larger cross sections close to the neutron threshold which
remain to be explained.


title: Spatial evolution of tumors with successive driver mutations

abstract:
  We study the spatial evolutionary dynamics of solid tumors as they obtain
additional driver mutations. We start with a cancer clone that expands
uniformly in three dimensions giving rise to a spherical shape. We assume that
cell division occurs on the surface of the growing tumor. Each cell division
has a chance to give rise to a mutation that activates an additional driver
gene. The resulting clone has an enhanced growth rate, which generates a local
ensemble of faster growing cells, thereby distorting the spherical shape of the
tumor. We derive analytic formulas for the geometric boundary that separates
the original cancer clone from the new mutant as well as the expanding frontier
of the new mutant. The total number of original cancer cells converges to a
constant as time goes to infinity, because this clone becomes enveloped by
mutants. We derive formulas for the abundance and diversity of additional
driver mutations as function of time. Our model is semi-deterministic: the
spatial growth of the various cancer clones follows deterministic equations,
but the arrival of a new mutant is a stochastic event.


title: Invariance and definability, with and without equality

abstract:
  The dual character of invariance under transformations and definability by
some operations has been used in classical work by for example Galois and
Klein. Following Tarski, philosophers of logic have claimed that logical
notions themselves could be characterized in terms of invariance. In this
paper, we generalize a correspondence due to Krasner between invariance under
groups of permutations and definability in $\La_{\infty\infty}$ so as to cover
the cases (quantifiers, logics without equality) that are of interest in the
logicality debates, getting McGee's theorem about quantifiers invariant under
all permutations and definability in pure $\La_{\infty\infty}$ as a particular
case. We also prove some optimality results along the way, regarding the kind
of relations which are needed so that every subgroup of the full permutation
group is characterizable as a group of automorphisms.


title:
A family of polynomials with Galois group $PSL_5(2)$ over
  $\mathbb{Q}(t)$

abstract:
  We compute a family of coverings with four ramification points, defined over
$\mathbb{Q}$, with regular Galois group $PSL_5(2)$.
  On the one hand, this is (to my knowledge) the first explicit polynomial with
group $PSL_5(2)$ over $\mathbb{Q}(t)$. On the other hand, it also positively
answers the question whether $PSL_5(2)$ is the monodromy group of a rational
function over $\mathbb{Q}$. At least this does not follow from considering
class triples in $PSL_5(2)$, as there are no rigid, rational genus-zero
triples. Also, for 4-tuples, our family is the only one with a Hurwitz curve of
genus zero (however it does not seem immediately clear without explicit
computations whether this curve can be defined as a rational curve over
$\mathbb{Q}$). There are also genus zero families with five branch points, and
maybe their Hurwitz spaces can be shown to have rational points; however, so
far I have not seen such arguments.


title:
Rigid Supersymmetry on 5-dimensional Riemannian Manifolds and Contact
  Geometry

abstract:
  In this note we generalize the methods of [1][2][3] to 5-dimensional
Riemannian manifolds M. We study the relations between the geometry of M and
the number of solutions to a generalized Killing spinor equation obtained from
a 5-dimensional supergravity. The existence of 1 pair of solutions is related
to almost contact metric structures. We also discuss special cases related to
$M = S1 \times M4$, which leads to M being foliated by submanifolds with
special properties, such as Quaternion-Kahler. When there are 2 pairs of
solutions, the closure of the isometry sub-algebra generated by the solutions
requires M to be S3 or T3-fibration over a Riemann surface. 4 pairs of
solutions pin down the geometry of M to very few possibilities. Finally, we
propose a new supersymmetric theory for N = 1 vector multiplet on K-contact
manifold admitting solutions to the Killing spinor equation.


title: All-Pairs Shortest Paths Algorithm for High-dimensional Sparse Graphs

abstract:
  Here the All-pairs shortest path problem on weighted undirected sparse graphs
is being considered. For the problem considered, we propose ``disassembly and
assembly of a graph'' algorithm which uses a solution of the problem on a
small-dimensional graph to obtain the solution for the given graph. The
proposed algorithm has been compared to one of the fastest classic algorithms
on data from an open public source.


title:
Impossibility of strict thermodynamic equilibrium establishment in the
  accelerated Universe

abstract:
  In this article there are considered non-equilibrium cosmological scenarios
with the assumption that scaling of particles interaction is restored in range
of extra-high energies. On basis of energy-balance equation's exact solutions
it is obtained the strong conclusion about fundamental unattainability of local
thermodynamic equilibrium in the accelerated Universe. There are presented the
results of numerical simulation of previously constructed strict mathematical
model which describes thermodynamic equilibrium's establishment in the
originally nonequilibrium cosmological ultrarelativistic plasma for the
Universe with an arbitrary acceleration with the assumption that scaling of
interactions of elementary particles is restored at energies above the unitary
limit. Limiting parametres of residual nonequilibrium distribution of
extra-high energy relic particles are obtained. The assumption about
possibility of detection of "truly relic particles", which appeared at stage of
early inflation, is put forward.
  Keywords: physics of the early universe, particle physics - cosmology
connection, inflation, ultra high energy cosmic rays


title:
Discrete data assimilation via Ladyzhenskaya squeezing property in the
  3D viscous primitive equations

abstract:
  We discuss the discrete data assimilation problem for the 3D viscous
primitive equations arising in the modeling of large scale phenomena in oceanic
dynamics. Our main result states possibility of asymptotically reliable
prognosis based on a discrete sequence of finite number of scalar observations.
Our method is quite general and can be applied to a wide class of dissipative
systems.


title: Semi-classical states for the Choquard equation

abstract:
  We study the nonlocal equation $$-\varepsilon^2 \Delta u_\varepsilon + V
u_\varepsilon = \varepsilon^{-\alpha} \bigl(I_\alpha \ast \lvert
u_\varepsilon\rvert^p\bigr) \lvert u_\varepsilon \rvert^{p - 2}
u_\varepsilon\quad\text{in \(\mathbf{R}^N\)}, $$ where $N \ge 1$, $\alpha \in
(0, N)$, $I_\alpha (x) = A_\alpha/\lvert x \rvert^{N - \alpha}$ is the Riesz
potential and $\varepsilon > 0$ is a small parameter. We show that if the
external potential $V \in C (\mathbb{R}^N; [0, \infty))$ has a local minimum
and $p \in [2, (N + \alpha)/(N - 2)_+)$ then for all small $\varepsilon > 0$
the problem has a family of solutions concentrating to the local minimum of $V$
provided that: either $p > 1 + \max (\alpha, \frac{\alpha + 2}{2})/(N - 2)_+$,
or $p > 2$ and $\liminf_{\lvert x\rvert \to \infty} V (x) \lvert x \rvert^2 >
0$, or $p = 2$ and $\inf_{x \in \mathbb{R}^N} V (x) (1 + \lvert x \rvert^{N -
\alpha}) > 0$. Our assumptions on the decay of $V$ and admissible range of
$p\ge 2$ are optimal. The proof uses variational methods and a novel nonlocal
penalization technique that we develop in this work.


title: On S3-extensions with infinite class field tower

abstract:
  We construct a class of $S_3$-extensions of $\Q$ with infinite 3-class field
tower in which only three primes ramify. As an application, we obtain an
$S_3$-extension of $\Q$ with infinite 3-class field tower with smallest known
(to the author) root discriminant among all fields with infinite 3-class field
tower.


title:
Amplification of seismic ground motion in the Tunis basin: Numerical BEM
  simulations vs experimental evidences

abstract:
  This paper aims at the analysis of seismic wave amplification in a deep
alluvial basin in the city of Tunis in Tunisia. This sedimentary basin is 3000m
wide and 350m deep. Since the seismic hazard is significant in this area, the
depth of the basin and the strong impedance ratio raise the need for an
accurate estimation of seismic motion amplification. Various experimental
investigations were performed in previous studies to characterize site effects.
The Boundary Element Method is considered herein to assess the parameter
sensitivity of the amplification process and analyse the prevailing phenomena.
The various frequencies of maximum amplification are correctly estimated by the
BEM simulations. The maximum amplification level observed in the field is also
well retrieved by the numerical simulations but, due to the sensitivity of the
location of maximum amplification in space, the overall maximum amplification
has to be considered. The influence of the wave-field incidence and material
damping is also discussed.


title: Direct and reverse Carleson measures for $\mathcal{H}(b)$ spaces

abstract:
  In this paper we discuss direct and reverse Carleson measures for the de
Branges-Rovnyak spaces $\mathcal{H}(b)$, mainly when b is a non-extreme point
of the unit ball of $H^{\infty}$.


title:
The Parameterised Complexity of Counting Connected Subgraphs and Graph
  Motifs

abstract:
  We introduce a class of parameterised counting problems on graphs, p-#Induced
Subgraph With Property(\Phi), which generalises a number of problems which have
previously been studied. This paper focusses on the case in which \Phi defines
a family of graphs whose edge-minimal elements all have bounded treewidth; this
includes the special case in which \Phi describes the property of being
connected. We show that exactly counting the number of connected induced
k-vertex subgraphs in an n-vertex graph is #W[1]-hard, but on the other hand
there exists an FPTRAS for the problem; more generally, we show that there
exists an FPTRAS for p-#Induced Subgraph With Property(\Phi) whenever \Phi is
monotone and all the minimal graphs satisfying \Phi have bounded treewidth. We
then apply these results to a counting version of the Graph Motif problem.


title:
Strong order of convergence of a semidiscrete scheme for the stochastic
  Manakov equation

abstract:
  It is well accepted by physicists that the Manakov PMD equation is a good
model to describe the evolution of nonlinear electric fields in optical fibers
with randomly varying birefringence. In the regime of the diffusion
approximation theory, an effective asymptotic dynamics has recently been
obtained to describe this evolution. This equation is called the stochastic
Manakov equation. In this article, we propose a semidiscrete version of a Crank
Nicolson scheme for this limit equation and we analyze the strong error.
Allowing sufficient regularity of the initial data, we prove that the numerical
scheme has strong order 1/2.


title:
Electronic transport properties of indolyl
  spirooxazine/merooxazine-based light-driven molecular switch: The effect of
  amino/nitro substituents

abstract:
  By applying non-equilibrium Green's function formulation combined with
first-principles density functional theory,we explore the electronic transport
properties of indolinospironaphthoxazine (SO)/indolinomeronaphthoxazine
(MO).The results indicate that the MO allows a far larger current than the
SO.The substituent group can cause the shift of the energy levels.Higher ON/OFF
current ratio can be obtained if either amino or nitro substituent is placed at
the position of naphthalene moiety.Our results suggest that such molecular
wires can generally display perfect switching function and the efficiency can
be tuned flexibly by adding certain substituent groups to the molecules.