title:
An example of a non-Borel locally-connected finite-dimensional
  topological group

abstract:
  Answering a question posed by S.Maillot in MathOverFlow, for every
$n\in\mathbb N$ we construct a locally connected subgroup $G\subset\mathbb
R^{n+1}$ of dimension $dim(G)=n$, which is not locally compact.


title:
A Polish group containing a Haar null $F_\sigma$-subgroup that cannot be
  enlarged to a Haar null $G_\delta$-set

abstract:
  Answering a question of Elekes and Vidny\'anszky, we construct a Polish
meta-abelian group $H$ and a subgroup $F\subset H$, which is a Haar null
$F_\sigma$-set in $H$ that cannot be enlarged to a Haar null $G_\delta$-set.


title:
Analysis of gradient descent methods with non-diminishing, bounded
  errors

abstract:
  The main aim of this paper is to provide an analysis of gradient descent (GD)
algorithms with gradient errors that do not necessarily vanish, asymptotically.
In particular, sufficient conditions are presented for both stability (almost
sure boundedness of the iterates) and convergence of GD with bounded,
(possibly) non-diminishing gradient errors. In addition to ensuring stability,
such an algorithm is shown to converge to a small neighborhood of the minimum
set, which depends on the gradient errors. It is worth noting that the main
result of this paper can be used to show that GD with asymptotically vanishing
errors indeed converges to the minimum set. The results presented herein are
not only more general when compared to previous results, but our analysis of GD
with errors is new to the literature to the best of our knowledge. Our work
extends the contributions of Mangasarian & Solodov, Bertsekas & Tsitsiklis and
Tadic & Doucet. Using our framework, a simple yet effective implementation of
GD using simultaneous perturbation stochastic approximations (SP SA), with
constant sensitivity parameters, is presented. Another important improvement
over many previous results is that there are no `additional' restrictions
imposed on the step-sizes. In machine learning applications where step-sizes
are related to learning rates, our assumptions, unlike those of other papers,
do not affect these learning rates. Finally, we present experimental results to
validate our theory.


title:
On the relationship between G-band bright point dynamics and their
  magnetic field strengths

abstract:
  G-band bright points (GBPs) are regarded as good manifestations of magnetic
flux concentrations. We aim to investigate the relationship between the dynamic
properties of GBPs and their longitudinal magnetic field strengths. High
spatial and temporal resolution observations were recorded simultaneously with
G-band filtergrams and Narrow-band Filter Imager (NFI) Stokes I and V images
with Hinode /Solar Optical Telescope. The GBPs are identified and tracked in
the G-band images automatically, and the corresponding longitudinal magnetic
field strength of each GBP is extracted from the calibrated NFI magnetograms by
a point-to-point method. After categorizing the GBPs into five groups by their
longitudinal magnetic field strengths, we analyze the dynamics of GBPs of each
group. The results suggest that with increasing longitudinal magnetic field
strengths of GBPs correspond to a decrease in their horizontal velocities and
motion ranges as well as by showing more complicated motion paths. This
suggests that magnetic elements showing weaker magnetic field strengths prefer
to move faster and farther along straighter paths, while stronger ones move
more slowly in more erratic paths within a smaller region. The dynamic
behaviors of GBPs with different longitudinal magnetic field strengths can be
explained by that the stronger flux concentrations withstand the convective
flows much better than weaker ones.


title: Definable categories and T-motives

abstract:
  Making use of Freyd's free abelian category on a preadditive category we show
that if $T:D\rightarrow \mathcal{A}$ is a representation of a quiver $D$ in an
abelian category $\mathcal{A}$ then there is an abelian category $\mathcal{A}
(T)$, a faithful exact functor $F_T: \mathcal{A} (T) \to \mathcal{A}$ and an
induced representation $\tilde T: D \to \mathcal{A} (T)$ such that $F_T\tilde
T= T$ universally. We then can show that $\mathbb{T}$-motives as well as Nori's
motives are given by a certain category of functors on definable categories.


title:
On realizing Lov\'asz-optimum orthogonal representation in the real
  Hilbert space

abstract:
  Quantum contextuality is usually revealed by the non-contextual inequality,
which can always be associated with an exclusivity graph. The quantum upper
bound of the inequality is nothing but the Lov\'asz number of the graph. In
this work, we show that if there is a Lov\'asz-optimum orthogonal
representation realized in the $d$-dimensional complex Hilbert space, then
there always exists a corresponding Lov\'asz-optimum orthogonal representation
in the $(2d-1)$-dimensional real Hilbert space. This in turn completes the
proof that the Lov\'asz-optimum orthogonal representation for any exclusivity
graph can always be realized in the real Hilbert space of suitable dimension.


title:
Polyharmonic Kirchhoff type equations with singular exponential
  nonlinearities

abstract:
  \noi In this article, we study the existence of non-negative solutions of the
following polyharmonic Kirchhoff type problem with critical singular
exponential nolinearity $$ \quad \left\{ \begin{array}{lr}
  \quad -M\left(\displaystyle\int_\Omega |\nabla^m
u|^{\frac{n}{m}}dx\right)\Delta_{\frac{n}{m}}^{m} u = \frac{f(x,u)}{|x|^\alpha}
\; \text{in}\; \Om{,}
  \quad \quad u = \nabla u=\cdot\cdot\cdot= {\nabla}^{m-1} u=0 \quad \text{on}
\quad \partial \Om{,} \end{array} \right. $$ where $\Om\subset \mb R^n$ is a
bounded domain with smooth boundary, $n\geq 2m\geq 2$ and $f(x,u)$ behaves like
$e^{|u|^{\frac{n}{n-m}}}$ as $|u|\ra\infty$. Using mountain pass structure and
{the} concentration compactness principle, we show the existence of a
nontrivial solution. %{OR}\\ In the later part of the paper, we also discuss
the above problem with convex-concave type sign changing nonlinearity. Using
{the} Nehari manifold technique, we show the existence and multiplicity of
non-negative solutions. \medskip


title: Conductivities in an anisotropic medium

abstract:
  In order to imitate anisotropic medium of a condensed matter system, we take
into account an Einstein-Maxwell-dilaton-axion model as a dual gravity theory
where the anisotropy is caused by different momentum relaxations. This gravity
model allows an anisotropic charged black hole solution. On this background, we
investigate how the linear responses of vector modes like electric,
thermoelectric, and thermal conductivities rely on the anisotropy. We find that
the electric conductivity in low frequency limit shows a Drude peak and that in
the intermediate frequency regime it reveals the power law behavior.
Especially, when the anisotropy increases the exponent of the power law becomes
smaller. In addition, we find that there exist a critical value for the
anisotropy at which the DC conductivity reaches to its maximum value.


title: Dispersionless wave packets in Dirac materials

abstract:
  We show that a wide class of quantum systems with translational invariance
can host dispersionless, soliton-like, wave packets. We focus on the setting
where the effective, two-dimensional Hamiltonian acquires the form of the Dirac
operator. The proposed framework for construction of the dispersionless wave
packets is illustrated on silicene-like systems with topologically nontrivial
effective mass. Our analytical predictions are accompanied by a numerical
analysis and possible experimental realizations are discussed.

categories: cond-mat.mes-hall hep-th math-ph math.MP quant-ph


title:
X-ray nova MAXI J1828-249. Evolution of the broadband spectrum during
  its 2013-2014 outburst

abstract:
  Based on data from the SWIFT, INTEGRAL, MAXI/ISS orbital observatories, and
the ground-based RTT-150 telescope, we have investigated the broadband (from
the optical to the hard X-ray bands) spectrum of the X-ray nova MAXI J1828-249
and its evolution during the outburst of the source in 2013-2014. The optical
and infrared emissions from the nova are shown to be largely determined by the
extension of the power-law component responsible for the hard X-ray emission.
The contribution from the outer cold regions of the accretion disk, even if the
X-ray heating of its surface is taken into account, turns out to be moderate
during the source's "high" state (when a soft blackbody emission component is
observed in the X-ray spectrum) and is virtually absent during its "low"
("hard") state. This result suggests that much of the optical and infrared
emissions from such systems originates in the same region of main energy
release where their hard X-ray emission is formed. This can be the Compton or
synchro-Compton radiation from a high-temperature plasma in the central
accretion disk region puffed up by instabilities, the synchrotron radiation
from a hot corona above the disk, or the synchrotron radiation from its
relativistic jets.


title: Actions of compact quantum groups

abstract:
  These lecture notes, prepared for the summer school "Topological quantum
groups", Bedlewo 2015, deal with aspects of the theory of actions of compact
quantum groups on C*-algebras ('locally compact quantum spaces'). After going
over the basic notions of isotypical components and reduced and universal
completions, we look at crossed and smash product C*-algebras, up to the
statement of the Takesaki-Takai-Baaj-Skandalis duality (in the algebraic
setting). We then look at two special types of actions, namely homogeneous
actions and free actions. We study the actions which combine both types, the
quantum torsors, and show that more generally any homogeneous action can be
completed to a free action with a discrete, classical set of `quantum orbits'.
We end with a combinatorial description of the homogeneous actions for the free
orthogonal quantum groups.


title:
Wide-band, nanoscale magnetic resonance spectroscopy using quantum
  relaxation of a single spin in diamond

abstract:
  We demonstrate a wide-band all-optical method of nanoscale magnetic resonance
(MR) spectroscopy under ambient conditions. Our method relies on
cross-relaxation between a probe spin, the electronic spin of a
nitrogen-vacancy centre in diamond, and target spins as the two systems are
tuned into resonance. By optically monitoring the spin relaxation time ($T_1$)
of the probe spin while varying the amplitude of an applied static magnetic
field, a frequency spectrum of the target spin resonances, a $T_1$-MR spectrum,
is obtained. As a proof of concept, we measure $T_1$-MR spectra of a small
ensemble of $^{14}$N impurities surrounding the probe spin within the diamond,
with each impurity comprising an electron spin 1/2 and a nuclear spin 1. The
intrinsically large bandwidth of the technique and probe properties allows us
to detect both electron spin transitions -- in the GHz range -- and nuclear
spin transitions -- in the MHz range -- of the $^{14}$N spin targets. The
measured frequencies are found to be in excellent agreement with theoretical
expectations, and allow us to infer the hyperfine, quadrupole and gyromagnetic
constants of the target spins. Analysis of the strength of the resonances
obtained in the $T_1$-MR spectrum reveals that the electron spin transitions
are probed via dipole interactions, while the nuclear spin resonances are
dramatically enhanced by hyperfine coupling and an electron-mediated process.
Finally, we investigate theoretically the possibility of performing $T_1$-MR
spectroscopy on nuclear spins without hyperfine interaction and predict
single-proton sensitivity using current technology. This work establishes
$T_1$-MR as a simple yet powerful technique for nanoscale MR spectroscopy, with
broadband capability and a projected sensitivity down to the single nuclear
spin level.


title: Non-self-adjoint hamiltonians defined by generalized Riesz bases

abstract:
  In \cite{b-i-t}, F. Bagarello, A. Inoue and C. Trapani investigated some
operators defined by Riesz bases. These operators connect with ${\it
quasi}$-${\it hermitian \; quantum \; mechanics}$, and its relatives. In this
paper, we change the frameworks of these operators, and then almost results
obtained in \cite{b-i-t} become trivial. Furthermore, we introduce a notion of
generalized Riesz bases which is a generalization of Riesz bases and
investigate some operators defined by generalized Riesz bases.


title:
Relations between assumption-based approaches in nonmonotonic logic and
  formal argumentation

abstract:
  In this paper we make a contribution to the unification of formal models of
defeasible reasoning. We present several translations between formal
argumentation frameworks and nonmonotonic logics for reasoning with plausible
assumptions. More specifically, we translate adaptive logics into
assumption-based argumentation and ASPIC+, ASPIC+ into assumption-based
argumentation and a fragment of assumption-based argumentation into adaptive
logics. Adaptive logics are closely related to Makinson's default assumptions
and to a significant class of systems within the tradition of preferential
semantics in the vein of KLM and Shoham. Thus, our results also provide close
links between formal argumentation and the latter approaches.


title: Asphericity of a length four relative group presentation

abstract:
  We consider the relative group presentation $\mathcal{P} = \langle G,
\mathbf{x} | \mathbf{r} \rangle$ where $\mathbf{x} = \{ x \}$ and $\mathbf{r} =
\{ xg_1 xg_2 xg_3 x^{-1} g_4 \}$. We show modulo a small number of exceptional
cases exactly when $\mathcal{P}$ is aspherical. If $H = \langle g_1^{-1} g_2,
g_1^{-1} g_3 g_1 , g_4 \rangle \leq G$ then the exceptional cases occur when
$H$ is isomorphic to one of $C_5,C_6,C_8$ or $C_2 \times C_4$.


title:
Andreev reflection in s-type superconductor proximized 3D topological
  insulator

abstract:
  We investigate transport and shot noise in lateral N-TI-S contacts, where N
is a normal metal, TI is a Bi-based three dimensional topological insulator (3D
TI), and S is an s-type superconductor. In normal state, the devices are in the
elastic diffusive transport regime, as demonstrated by a nearly universal value
of the shot noise Fano factor $F_{\rm N}\approx1/3$ in magnetic field and in
reference normal contact. In the absence of magnetic field, we identify the
Andreev reflection (AR) regime, which gives rise to the effective charge
doubling in shot noise measurements. Surprisingly, the Fano factor $F_{\rm
AR}\approx0.22\pm0.02$ is considerably reduced in the AR regime compared to
$F_{\rm N}$, in contrast to previous AR experiments in normal metals and
semiconductors. We suggest that this effect is related to a finite thermal
conduction of the proximized, superconducting TI owing to a residual density of
states at low energies.


title:
Unconventional low-field magnetic response of a diffusive ring with
  spin-orbit coupling

abstract:
  We report an unconventional behavior of electron transport in the limit of
zero magnetic flux in a one-dimensional disordered ring, be it completely
random or any correlated one, subjected to Rashba spin-orbit (SO) coupling. It
exhibits much higher circulating current compared to a fully perfect ring for a
wide range of SO coupling yielding larger electrical conductivity which is
clearly verified from our Drude weight analysis.


title:
Stress concentration in periodically rough hertzian contact: Hertz to
  soft-flat-punch transition

abstract:
  We report on the elastic contact between a spherical lens and a patterned
substrate, composed of an hexagonal lattice of cylindrical pillars. The stress
field and the size of the contact area are obtained by means of numerical
methods (discrete Green's function superposition and iterative bisection-like
methods). For small indentations, a transition from a Hertzian to a
Boussinesq-Cerruti-like behavior is observed when the surface fraction of the
substrate that is covered by pillars is increased. In particular, we present a
master curve defined by two dimensionless parameters, which allows to predict
the stress at the center of contact region in terms of the surface fraction
occupied by pillars. The transition between the limiting contact regimes,
Hertzian and Boussinesq-Cerruti-like, is well described by a rational function.
Additionally, a simple model to describe the Boussines-Cerruti-like contact
between the lens and a single elastic pillar, which takes into account the
pillar geometry and the elastic properties of the two bodies, is presented.


title:
The protein cost of metabolic fluxes: prediction from enzymatic rate
  laws and cost minimization

abstract:
  Bacterial growth depends crucially on metabolic fluxes, which are limited by
the cell's capacity to maintain metabolic enzymes. The necessary enzyme amount
per unit flux is a major determinant of metabolic strategies both in evolution
and bioengineering. It depends on enzyme parameters (such as kcat and KM
constants), but also on metabolite concentrations. Moreover, similar amounts of
different enzymes might incur different costs for the cell, depending on
enzyme-specific properties such as protein size and half-life. Here, we
developed enzyme cost minimization (ECM), a scalable method for computing
enzyme amounts that support a given metabolic flux at a minimal protein cost.
The complex interplay of enzyme and metabolite concentrations, e.g. through
thermodynamic driving forces and enzyme saturation, would make it hard to solve
this optimization problem directly. By treating enzyme cost as a function of
metabolite levels, we formulated ECM as a numerically tractable, convex
optimization problem. Its tiered approach allows for building models at
different levels of detail, depending on the amount of available data.
Validating our method with measured metabolite and protein levels in E. coli
central metabolism, we found typical prediction fold errors of 3.8 and 2.7,
respectively, for the two kinds of data. ECM can be used to predict enzyme
levels and protein cost in natural and engineered pathways, establishes a
direct connection between protein cost and thermodynamics, and provides a
physically plausible and computationally tractable way to include enzyme
kinetics into constraint-based metabolic models, where kinetics have usually
been ignored or oversimplified.


title:
Axisymmetric Indentation of Curved Elastic Membranes by a Convex Rigid
  Indenter

abstract:
  Motivated by applications to seed germination, we consider the transverse
deflection that results from the axisymmetric indentation of an elastic
membrane by a rigid body. The elastic membrane is fixed around its boundary,
with or without an initial pre-stretch, and may be initially curved prior to
indentation. General indenter shapes are considered, and the load-indentation
curves that result for a range of spheroidal tips are obtained for both flat
and curved membranes. Wrinkling may occur when the membrane is initially
curved, and a relaxed strain-energy function is used to calculate the deformed
profile in this case. Applications to experiments designed to measure the
mechanical properties of seed endosperms are discussed.


title:
A sequential Monte Carlo approach to Thompson sampling for Bayesian
  optimization

abstract:
  Bayesian optimization through Gaussian process regression is an effective
method of optimizing an unknown function for which every measurement is
expensive. It approximates the objective function and then recommends a new
measurement point to try out. This recommendation is usually selected by
optimizing a given acquisition function. After a sufficient number of
measurements, a recommendation about the maximum is made. However, a key
realization is that the maximum of a Gaussian process is not a deterministic
point, but a random variable with a distribution of its own. This distribution
cannot be calculated analytically. Our main contribution is an algorithm,
inspired by sequential Monte Carlo samplers, that approximates this maximum
distribution. Subsequently, by taking samples from this distribution, we enable
Thompson sampling to be applied to (armed-bandit) optimization problems with a
continuous input space. All this is done without requiring the optimization of
a nonlinear acquisition function. Experiments have shown that the resulting
optimization method has a competitive performance at keeping the cumulative
regret limited.


title:
X-ray Performance of Back-Side Illuminated Type of Kyoto's X-ray
  Astronomical SOI Pixel Sensor, XRPIX

abstract:
  We have been developing X-ray SOI pixel Sensors, called "XRPIX", for future
X-ray astronomy satellites that enable us to observe in the wide energy band of
0.5-40 keV. Since XRPIXs have the circuitry layer with a thickness of about 8
{\mu}m in the front side of the sensor, it is impossible to detect low energy
X-rays with a front-illuminated type. So, we have been developing
back-illuminated type of XRPIX with a less 1 {\mu}m dead layer in the
back-side, which enables the sensitivity to reach 0.5 keV. We produced two
types of back-side illuminated (BI) XRPIXs, one of which is produced in "Pizza
process" which LBNL developed and the other is processed in the ion
implantation and laser annealing. We irradiated both of the BI-XRPIXs with soft
X-ray and investigate soft X-ray performance of them. We report results from
soft X-ray evaluation test of the device.


title: What are the megahertz peaked-spectrum sources?

abstract:
  Megahertz peaked-spectrum (MPS) sources have spectra that peak at frequencies
below 1 GHz in the observer's frame and are believed to be radio-loud active
galactic nuclei (AGN). We recently presented a new method to search for
high-redshift AGN by identifying unusually compact MPS sources. In this paper,
we present European VLBI Network (EVN) observations of 11 MPS sources which we
use to determine their sizes and investigate the nature of the sources with ~10
mas resolution. Of the 11 sources, we detect nine with the EVN. Combining the
EVN observations with spectral and redshift information, we show that the
detected sources are all AGN with linear sizes smaller than 1.1 kpc and are
likely young. This shows that low-frequency colour-colour diagrams are an easy
and efficient way of selecting small AGN and explains our high detection
fraction (82%) in comparison to comparable surveys. Finally we argue that the
detected sources are all likely compact symmetric objects and that none of the
sources are blazars.


title:
Finite size effects on the phase diagram of the thermodynamical cluster
  model

abstract:
  The thermodynamical cluster model is known to present a first-order
liquid-gas phase transition in the idealized case of an uncharged, infinitely
extended medium. However, in most practical applications of this model, the
system is finite and charged. In this paper we study how the phase diagram is
modified by finite size and Coulomb effects.
  We show that the thermodynamic anomalies which are associated to the finite
system counterpart of first order phase transitions, are correctly reproduced
by this effective model. However, approximations in the calculation of the
grandcanonical partition sum prevent obtaining the exact mapping between
statistical ensembles which should be associated to finite systems. The
ensemble inequivalence associated to the transition persists in the presence of
Coulomb, but the phase diagram is deeply modified with respect to the simple
liquid-gas phase transition characteristic of the neutral system.


title:
A new VLA/e-MERLIN limit on central images in the gravitational lens
  system CLASS B1030+074

abstract:
  We present new VLA 22-GHz and e-MERLIN 5-GHz observations of CLASS B1030+074,
a two-image strong gravitational lens system whose background source is a
compact flat-spectrum radio quasar. In such systems we expect a third image of
the background source to form close to the centre of the lensing galaxy. The
existence and brightness of such images is important for investigation of the
central mass distributions of lensing galaxies, but only one secure detection
has been made so far in a galaxy-scale lens system. The noise levels achieved
in our new B1030+074 images reach 3 microJy/beam and represent an improvement
in central image constraints of nearly an order of magnitude over previous
work, with correspondingly better resulting limits on the shape of the central
mass profile of the lensing galaxy. Simple models with an isothermal outer
power law slope now require either the influence of a central supermassive
black hole, or an inner power law slope very close to isothermal, in order to
suppress the central image below our detection limit. Using the central mass
profiles inferred from light distributions in Virgo galaxies, moved to z=0.5,
and matching to the observed Einstein radius, we now find that 45% of such mass
profiles should give observable central images, 10% should give central images
with a flux density still below our limit, and the remaining systems have
extreme demagnification produced by the central SMBH. Further observations of
similar objects will therefore allow proper statistical constraints to be
placed on the central properties of elliptical galaxies at high redshift.


title: Role of Rotations on Surface Diffusion of Water Trimers on Pd\{111\}

abstract:
  Diffusion barriers for a cluster of three water molecules on Pd(111) have
been estimated from ab-initio Density Functional Theory. A model for the
diffusion of the trimer based in rotations yields a simple explanation of why
the cluster can diffuse faster than a single water molecule by a factor
$\approx 10^{2}$. This model is based on the differences between the adsorption
geometry for the three monomers forming the cluster. One member interacts
strongly with the surface and sits closer to the surface (d) while the other
two interact weakly and stay at a larger separation from the surface (u). The
trimer rotates nearly freely around the axis determined by the d monomer.
Translations of the whole trimer imply breaking the strong interaction of the d
monomer with the surface. Alternatively, thermal fluctuations exchange the
actual monomer sitting closer to the surface with a lower energetic cost.
Rotations around different axis introduce a diffusion mechanism where a strong
interaction is kept along the diffusion path between the water molecule
defining the axis of rotation and the Pd underneath.


title: Quantifying Location Sociality

abstract:
  The emergence of location-based social networks provides an unprecedented
chance to study the interaction between human mobility and social relations.
This work is a step towards quantifying whether a location is suitable for
conducting social activities, and the notion is named location sociality. Being
able to quantify location sociality creates practical opportunities such as
urban planning and location recommendation. To quantify a location's sociality,
we propose a mixture model of HITS and PageRank on a heterogeneous network
linking users and locations. By exploiting millions of check-in data generated
by Instagram users in New York and Los Angeles, we investigate the relation
between location sociality and several location properties, including location
categories, rating and popularity. We further perform two case studies, i.e.,
friendship prediction and location recommendation, experimental results
demonstrate the usefulness of our quantification.


title: Magnetocrystalline anisotropy of FePt: a detailed view

abstract:
  To get a reliable ab-initio value for the magneto-crystalline anisotropy
(MCA) energy of FePt, we employ the full-potential linearized augmented plane
wave (FLAPW) method and the full-potential Korringa-Kohn-Rostoker (KKR) Green
function method. The MCA energies calculated by both methods are in a good
agreement with each other. As the calculated MCA energy significantly differs
from experiment, it is clear that many-body effects beyond the local density
approximation are essential. It is not really important whether relativistic
effects for FePt are accounted for by solving the full Dirac equation or
whether the spin-orbit coupling (SOC) is treated as a correction to the
scalar-relativistic Hamiltonian. From the analysis of the dependence of the MCA
energy on the magnetization angle and on the SOC strength it follows that the
main mechanism of MCA in FePt can be described within second order perturbation
theory. However, a distinct contribution not accountable for by second order
perturbation theory is present as well.


title:
Mechanisms of the isospin-breaking decay $f_1(1285)\to
  f_0(980)\pi^0\to\pi^+\pi^-\pi^0$

abstract:
  Estimated are the contributions of the following mechanisms responsible for
the decay $f_1(1285)\to f_0(980)\pi^0\to\pi^+\pi^-\pi^0$: 1) the contribution
of the $a^0_0(980)-f_0(980)$ mixing, $f_1(1285)\to a_0(980)\pi^0\to
(K^+K^-+K^0\bar K^0)\pi^0\to f_0(980)\pi^0\to\pi^+\pi^-\pi^0$, 2) the
contribution of the transition $f_1(1285)\to(K^+K^-+K^0\bar K^0)\pi^0\to f_0
(980)\pi^0\to\pi^+\pi^-\pi^0$, arising due to the pointlike decay $f_1
(1285)\to K\bar K\pi^0$, 3) the contribution of the transition
$f_1(1285)\to(K^*\bar K+\bar K^*K)\to(K^+K^-+K^0\bar K^0)\pi^0\to
f_0(980)\pi^0\to \pi^+\pi^-\pi^0$, where $K^*=K^*(892)$, and 4) the
contribution of the transition $f_1(1285)\to(K^*_0\bar K+\bar
K^*_0K)\to(K^+K^-+K^0\bar K^0)\pi^0\to f_0(980)\to\pi^+ \pi^-\pi^0$, where
$K^*_0=K^*_0(800)$ (or $\kappa$) and $K^*_0(1430)$. These mechanisms break the
conservation of the isospin due to the nonzero mass difference of the $K^+$ and
$K^0$ mesons. They result in the appearance of the narrow resonance structure
in the $\pi^+\pi^-$ mass spectrum in the region of the $K\bar K$ thresholds,
with the width $\approx2m_{K^0}-2m_{K^+}\approx8$ MeV. The observation of such
a structure in experiment is the direct indication on the $K\bar K$ loop
mechanism of the breaking of the isotopic invariance. We point out that
existing data should be more precise, and it is difficult to explain them using
the single specific mechanism from those listed above. Taking the decay
$f_1(1285)\to f_0(980)\pi^0 \to\pi^+\pi^-\pi^0$ as the example, we discuss the
general approach to the description of the $K\bar K$ loop mechanism of the
breaking of isotopic invariance.


title:
Approaching Optimal Centralized Scheduling with CSMA-based Random Access
  over Fading Channels

abstract:
  Carrier Sense Multiple Access (CSMA) based distributed algorithms can attain
the largest capacity region as the centralized Max-Weight policy does. Despite
their capability of achieving throughput-optimality, these algorithms can
either incur large delay and have large complexity or only operate over
non-fading channels. In this letter, by assuming arbitrary back-off time we
first propose a fully distributed randomized algorithm whose performance can be
pushed to the performance of the centralized Max-Weight policy not only in
terms of throughput but also in terms of delay for completely-connected
interference networks with fading channels. Then, inspired by the proposed
algorithm we introduce an implementable distributed algorithm for practical
networks with a reservation scheme. We show that the proposed practical
algorithm can still achieve the performance of the centralized Max-Weight
policy.


title:
Arguing on entropic and enthalpic first-order phase transitions in
  strongly interacting matter

abstract:
  The pattern of isentropes in the vicinity of a first-order phase transition
is proposed as a key for a sub-classification. While the
confinement--deconfinement transition, conjectured to set in beyond a critical
end point in the QCD phase diagram, is often related to an entropic transition
and the apparently settled gas-liquid transition in nuclear matter is an
enthalphic transition, the conceivable local isentropes w.r.t.\ "incoming" or
"outgoing" serve as another useful guide for discussing possible implications,
both in the presumed hydrodynamical expansion stage of heavy-ion collisions and
the core-collapse of supernova explosions. Examples, such as the quark-meson
model and two-phase models, are shown to distinguish concisely the different
transitions.


title:
Sub-Riemannian curvature and a Gauss-Bonnet theorem in the Heisenberg
  group

abstract:
  We use a Riemannnian approximation scheme to define a notion of
$\textit{sub-Riemannian Gaussian curvature}$ for a Euclidean $C^{2}$-smooth
surface in the Heisenberg group $\mathbb{H}$ away from characteristic points,
and a notion of $\textit{sub-Riemannian signed geodesic curvature}$ for
Euclidean $C^{2}$-smooth curves on surfaces. These results are then used to
prove a Heisenberg version of the Gauss-Bonnet theorem. An application to
Steiner's formula for the Carnot-Carath\'eodory distance in $\mathbb{H}$ is
provided.


title:
Experimental setup and procedure for the measurement of the
  7Be(n,{\alpha}){\alpha} reaction at n_TOF

abstract:
  The newly built second experimental area EAR2 of the n_TOF spallation neutron
source at CERN allows to perform (n, charged particles) experiments on
short-lived highly radioactive targets. This paper describes a detection
apparatus and the experimental procedure for the determination of the
cross-section of the 7Be(n,{\alpha}) reaction, which represents one of the
focal points toward the solution of the cosmological Lithium abundance problem,
and whose only measurement, at thermal energy, dates back to 1963. The
apparently unsurmountable experimental difficulties stemming from the huge 7Be
{\gamma}-activity, along with the lack of a suitable neutron beam facility, had
so far prevented further measurements. The detection system is subject to
considerable radiation damage, but is capable of disentangling the rare
reaction signals from the very high background. This newly developed setup
could likely be useful also to study other challenging reactions requiring the
detectors to be installed directly in the neutron beam.


title:
Some properties of Generalized Fibonacci difference bounded and
  $p$-absolutely convergent sequences

abstract:
  The main objective of this paper is to introduced a new sequence space
$l_{p}(\hat{F}(r,s)),$ $ 1\leq p \leq \infty$ by using the band matrix
$\hat{F}(r,s).$
  We also establish a few inclusion relations concerning this space and
determine its $\alpha-,\beta-,\gamma-$duals. We also characterize some matrix
classes on the space $l_{p}(\hat{F}(r,s))$ and examine some geometric
properties of this space.


title:
Constraining the time evolution of dark energy, curvature and neutrino
  properties with cosmic chronometers

abstract:
  We use the latest compilation of observational H(z) measurements obtained
with cosmic chronometers in the redshift range $0<z<2$ to place constraints on
cosmological parameters. We consider the sample alone and in combination with
other state-of-the art cosmological probes: CMB data from the latest Planck
2015 release, the most recent estimate of the Hubble constant $H_{0}$, a
compilation of recent BAO data, and the latest SNe sample. Since cosmic
chronometers are independent of the assumed cosmological model, we are able to
provide constraints on the parameters that govern the expansion history of the
Universe in a way that can be used to test cosmological models. We show that
the H(z) measurements obtained with cosmic chronometer from the BOSS survey
provide enough constraining power in combination with CMB data to constrain the
time evolution of dark energy, yielding constraints competitive with those
obtained using SNe and/or BAO. From late-Universe probes alone we find that
$w_0=-0.9\pm0.18$ and $w_a=-0.5\pm1.7$, and when combining also CMB data we
obtain $w_0=-0.98\pm0.11$and $w_a=-0.30\pm0.4$. These new constraints imply
that nearly all quintessence models are disfavoured, only phantom models or a
pure cosmological constant being allowed. For the curvature we find
$\Omega_k=0.003\pm0.003$, including CMB data. Cosmic chronometers data are
important also to constrain neutrino properties by breaking or reducing
degeneracies with other parameters. We find that $N_{eff}=3.17\pm0.15$, thus
excluding the possibility of an extra (sterile) neutrino at more than
$5\sigma$, and put competitive limits on the sum of neutrino masses, $\Sigma
m_{\nu}< 0.27$ eV at 95% confidence level. Finally, we constrain the redshift
evolution of dark energy, and find w(z) consistent with the $\Lambda$CDM model
at the 40% level over the entire redshift range $0<z<2$. [abridged]


title:
Nematic quantum critical point without magnetism in FeSe1-xSx
  superconductors

abstract:
  The importance of antiferromagnetic fluctuations are widely acknowledged in
most unconventional superconductors. In addition, cuprates and iron pnictides
often exhibit unidirectional (nematic) electronic correlations, including
stripe and orbital orders, whose fluctuations may also play a key role for
electron pairing. However, these nematic correlations are intertwined with
antiferromagnetic or charge orders, preventing us to identify the essential
role of nematic fluctuations. This calls for new materials having only
nematicity without competing or coexisting orders. Here we report systematic
elastoresistance measurements in FeSe$_{1-x}$S$_{x}$ superconductors, which,
unlike other iron-based families, exhibit an electronic nematic order without
accompanying antiferromagnetic order. We find that the nematic transition
temperature decreases with sulphur content $x$, whereas the nematic
fluctuations are strongly enhanced. Near $x\approx0.17$, the nematic
susceptibility diverges towards absolute zero, revealing a nematic quantum
critical point. This highlights FeSe$_{1-x}$S$_{x}$ as a unique nonmagnetic
system suitable for studying the impact of nematicity on superconductivity.


title:
Broad [CII] line wings as tracer of molecular and multi-phase outflows
  in infrared bright galaxies

abstract:
  We report a tentative correlation between the outflow characteristics derived
from OH absorption at $119\,\mu\text{m}$ and [CII] emission at
$158\,\mu\text{m}$ in a sample of 22 local and bright ultraluminous infrared
galaxies (ULIRGs). For this sample we investigate whether [CII] broad wings are
a good tracer of molecular outflows, and how the two tracers are connected.
Fourteen objects in our sample have a broad wing component as traced by [CII],
and all of these also show OH119 absorption indicative of an outflow (in 1 case
an inflow). The other eight cases, where no broad [CII] component was found,
are predominantly objects with no OH outflow or a low-velocity ($\leq
100\,\text{km s}^{-1}$) OH outflow. The full width at half maximum (FWHM) of
the broad [CII] component shows a trend with the OH119 blue-shifted velocity,
although with significant scatter. Moreover, and despite large uncertainties,
the outflow masses derived from OH and broad [CII] show a 1:1 relation. The
main conclusion is therefore that broad [CII] wings can be used to trace
molecular outflows. This may be particularly relevant at high redshift, where
the usual tracers of molecular gas (like low-J CO lines) become hard to
observe. Additionally, observations of blue-shifted Na I D $\lambda\lambda
5890,5896$ absorption are available for ten of our sources. Outflow velocities
of Na I D show a trend with OH velocity and broad [CII] FWHM. These
observations suggest that the atomic and molecular gas phases of the outflow
are connected.


title:
Characterizations of classical orthogonal polynomials on quadratic
  lattices

abstract:
  This paper is devoted to characterizations classical orthogonal polynomials
on quadratic lattices by using a matrix approach. In this form we recover the
Hahn, Geronimus, Tricomi and Bochner type characterizations of classical
orthogonal polynomials on quadratic lattices. Moreover a new characterization
is also presented. From the Bochner type characterization we derive the
three-term recurrence relation coefficients for these polynomials.


title:
PHOCNet: A Deep Convolutional Neural Network for Word Spotting in
  Handwritten Documents

abstract:
  In recent years, deep convolutional neural networks have achieved state of
the art performance in various computer vision task such as classification,
detection or segmentation. Due to their outstanding performance, CNNs are more
and more used in the field of document image analysis as well. In this work, we
present a CNN architecture that is trained with the recently proposed PHOC
representation. We show empirically that our CNN architecture is able to
outperform state of the art results for various word spotting benchmarks while
exhibiting short training and test times.


title: Spin flip of multiqubit states in discrete phase space

abstract:
  Time reversal and spin flip are discrete symmetry operations of substantial
import to quantum information and quantum computation. Spin flip arises in the
context of separability, quantification of entanglement and the construction of
Universal NOT gates. The present work investigates the relationship between the
quantum state of a multiqubit system represented by the Discrete Wigner
Function (DWFs) and its spin-flipped counterpart. The two are shown to be
related through a Hadamard matrix that is independent of the choice of the
quantum net used for the tomographic reconstruction of the DWF. These results
would be of interest to cases involving the direct tomographic reconstruction
of the DWF from experimental data and in the analysis of entanglement related
properties purely in terms of the Discrete Wigner function.


title: Laser cooling of high temperature oscillator by multi-level system

abstract:
  We study the laser cooling of a mechanical oscillator through the coupling
with a dissipative three-level system. Under a background temperature beyond
the Lamb-Dicke regime, we extend the standard cooling analysis by separately
studying the classical motion and the quantum dynamics of the oscillator. In
Ladder-system cooling, the cooling rate degrades by orders of magnitude at
large classical motion. This phenomenon causes a critical transition of the
final temperature at a hot background. In stark contrast,
electromagnetic-induced-transparency (EIT) cooling with a $\Lambda$-system
produces significant negative cooling rate at high motional excitation. At
steady state, the oscillator could exhibit both cooling and lasing behaviours.
We argue that a successful EIT cooling requires either a poor quality
oscillator to suppress the lasing effect, or terminating the cooling process at
a transient stage.


title:
Modeling battery cells under discharge using kinetic and stochastic
  battery models

abstract:
  In this paper we review several approaches to mathematical modeling of simple
battery cells and develop these ideas further with emphasis on charge recovery
and the response behavior of batteries to given external load. We focus on
models which use few parameters and basic battery data, rather than detailed
reaction and material characteristics of a specific battery cell chemistry,
starting with the coupled ODE linear dynamics of the kinetic battery model. We
show that a related system of PDE with Robin type boundary conditions arises in
the limiting regime of a spatial kinetic battery model, and provide a new
probabilistic representation of the solution in terms of Brownian motion with
drift reflected at the boundaries on both sides of a finite interval. To
compare linear and nonlinear dynamics in kinetic and stochastic battery models
we study Markov chains with states representing available and remaining
capacities of the battery. A natural scaling limit leads to a class of
nonlinear ODE, which can be solved explicitly and compared with the capacities
obtained for the linear models. To indicate the potential use of the modeling
we discuss briefly comparison of discharge profiles and effects on battery
performance.


title: The quiescent phase of galactic disc growth

abstract:
  We perform a series of controlled N-body simulations of growing disc galaxies
within non-growing, live dark matter haloes of varying mass and concentration.
Our initial conditions include either a low-mass disc or a compact bulge. New
stellar particles are continuously added on near-circular orbits to the
existing disc, so spiral structure is continuously excited. To study the effect
of combined spiral and giant molecular cloud (GMC) heating on the discs we
introduce massive, short-lived particles that sample a GMC mass function. An
isothermal gas component is introduced for a subset of the models. We perform a
resolution study and vary parameters governing the GMC population, the
histories of star formation and radial scale growth. Models with GMCs and
standard values for the disc mass and halo density provide the right level of
self-gravity to explain the age velocity dispersion relation of the Solar
neighbourhood (Snhd). GMC heating generates remarkably exponential vertical
profiles with scaleheights that are radially constant and agree with
observations of galactic thin discs. GMCs are also capable of significantly
delaying bar formation. The amount of spiral induced radial migration agrees
with what is required for the metallicity distribution of the Snhd. However, in
our standard models the outward migrating populations are not hot enough
vertically to create thick discs. Thick discs can form in models with high
baryon fractions, but the corresponding bars are too long, the young stellar
populations too hot and the discs flare considerably.


title:
Singing Voice Separation and Vocal F0 Estimation based on Mutual
  Combination of Robust Principal Component Analysis and Subharmonic Summation

abstract:
  This paper presents a new method of singing voice analysis that performs
mutually-dependent singing voice separation and vocal fundamental frequency
(F0) estimation. Vocal F0 estimation is considered to become easier if singing
voices can be separated from a music audio signal, and vocal F0 contours are
useful for singing voice separation. This calls for an approach that improves
the performance of each of these tasks by using the results of the other. The
proposed method first performs robust principal component analysis (RPCA) for
roughly extracting singing voices from a target music audio signal. The F0
contour of the main melody is then estimated from the separated singing voices
by finding the optimal temporal path over an F0 saliency spectrogram. Finally,
the singing voices are separated again more accurately by combining a
conventional time-frequency mask given by RPCA with another mask that passes
only the harmonic structures of the estimated F0s. Experimental results showed
that the proposed method significantly improved the performances of both
singing voice separation and vocal F0 estimation. The proposed method also
outperformed all the other methods of singing voice separation submitted to an
international music analysis competition called MIREX 2014.


title: New proofs of Borwein-type algorithms for Pi

abstract:
  We use a method of translation to recover Borweins' quadratic and quartic
iterations. Then, by using the WZ-method, we obtain some initial values which
lead to the limit $1/\pi$. We will not use the modular theory nor either the
Gauss' formula that we used in another paper. Our proofs are short and
self-contained.


title:
Effect of particle fluctuation on isoscaling and isobaric yield ratio of
  nuclear multifragmentation

abstract:
  Isoscaling and isobaric yield ratio parameters are compared from canonical
and grand canonical ensembles when applied to multifragmentation of finite
nuclei. Source dependence of isoscaling parameters and source and isospin
dependence of isobaric yield ratio parameters are examined in the framework of
the canonical and the grand canonical models. It is found that as the nucleus
fragments more, results from both the ensembles converge and observables
calculated from the canonical ensemble coincide more with those obtained from
the formulae derived using the grand canonical ensemble.


title:
Volume-preserving mean curvature flow for tubes in rank one symmetric
  spaces of non-compact type

abstract:
  First we investigate the evolutions of the radius function and its gradient
along the volume-preserving mean curvature flow starting from a tube (of
nonconstant radius) over a compact closed domain of a reflective submanifold in
a symmetric space under certain condition for the radius function. Next, we
prove that the tubeness is preserved along the flow in the case where the
ambient space is a rank one symmetric space of non-compact type (other than a
(real) hyperbolic space) and the reflective submanifold is an invariant
submanifold and the radius function of the initial tube is radial. Furthermore,
in this case, we prove that the flow reaches to the invariant submanifold or it
exists in infinite time and converges to another tube of constant mean
curvature over the invariant submanifold in the $C^{\infty}$-topology in
infinite time.


title:
Pair production by Schwinger and Breit-Wheeler processes in bi-frequent
  fields

abstract:
  Counter-propagating and suitably polarized light (laser) beams can provide
conditions for pair production. Here, we consider in more detail the following
two situations: (i) In the homogeneity regions of anti-nodes of linearly
polarized ultra-high intensity laser beams, the Schwinger process is
dynamically assisted by a second high-frequency field, e.g. by a XFEL beam.
(ii) A high-energy probe photon beam colliding with a superposition of
co-propagating intense laser and XFEL beams gives rise to the laser assisted
Breit-Wheeler process. Prospects of such bi-frequent field constellations with
respect to the feasibility of conversion of light into matter are discussed.


title:
Existence and Convergence of Solutions of the Boundary Value Problem in
  Atomistic and Continuum Nonlinear Elasticity Theory

abstract:
  We show existence of solutions for the equations of static atomistic
nonlinear elasticity theory on a bounded domain with prescribed boundary
values. We also show their convergence to the solutions of continuum nonlinear
elasticity theory, with energy density given by the Cauchy-Born rule, as the
interatomic distances tend to zero. These results hold for small data close to
a stable lattice for general finite range interaction potentials. We also
discuss the notion of stability in detail.


title:
Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue
  spaces

abstract:
  In this note we present the metric approximation property for weighted
mixed-norm $L_w^{(p_1,\dots ,p_n)}$ and variable exponent Lebesgue type spaces.
As a consequence, this also implies the same property for modulation and
Wiener-Amalgam spaces. We then characterise nuclear operators on such spaces
and state the corresponding Grothendieck-Lidskii trace formulae. We apply the
obtained results to derive criteria for nuclearity and trace formulae for
periodic operators on $\mathbb R^n$ and functions of the harmonic oscillator in
terms of the global symbol.


title: The Nodal Cubic is a Quantum Homogeneous Space

abstract:
  The cusp was recently shown to admit the structure of a quantum homogeneous
space, that is, its coordinate ring $B$ can be embedded as a right coideal
subalgebra into a Hopf algebra $A$ such that $A$ is faithfully flat as a
$B$-module. In the present article such a Hopf algebra $A$ is constructed for
the coordinate ring $B$ of the nodal cubic, thus further motivating the
question which affine varieties are quantum homogeneous spaces.


title: Critical Behavior of Low Dimensional Magnetic Systems

abstract:
  In this study, critical behavior of low dimensional magnetic systems as
cyano-bridged Tb(III)-Cr(III) bimetallic assembly was investigated with the
mixed spin $3$- spin $3/2$ Ising model. The mixed spin Ising model is simulated
with Cellular Automaton cooling and heating algorithms on one-dimensional
lattices in periodic boundary conditions. The Ising model Hamiltonian includes
only antiferromagnetic nearest-neighbor interaction ($% J>0$). The mixed spin
system behaves like the isolated one-dimensional chain for zero magnetic field
($h=\frac{H}{J}=0$). In the presence of the magnetic field, the magnetization
is calculated using zero-field cooling ($ZFC$) and field cooling ($FC$)
processes. The one-dimensional Ising model results are compatible with the
cyano-bridged Tb(III)-Cr(III) bimetallic quasi-one dimensional assembly
[Tb(H_{2}O)_{2}(DMF)_{4}{ Cr(CN)_{6}}].H_{2}O(DMF=dimethylformamide) results.


title: Laser assisted Breit-Wheeler and Schwinger processes

abstract:
  The assistance of an intense optical laser pulse on electron-positron pair
production by the Breit-Wheeler and Schwinger processes in XFEL fields is
analyzed. The impact of a laser beam on high-energy photon collisions with XFEL
photons consists in a phase space redistribution of the pairs emerging in the
Breit-Wheeler sub-process. We provide numerical examples of the differential
cross section for parameters related to the European XFEL. Analogously, the
Schwinger type pair production in pulsed fields with oscillating components
referring to a superposition of optical laser and XFEL frequencies is
evaluated. The residual phase space distribution of created pairs is sensitive
to the pulse shape and may differ significantly from transiently achieved mode
occupations.


title: The Power of Local Information in PageRank

abstract:
  How large a fraction of a graph must one explore to rank a small set of nodes
according to their PageRank scores? We show that the answer is quite nuanced,
and depends crucially on the interplay between the correctness guarantees one
requires and the way one can access the graph. On the one hand, assuming the
graph can be accessed only via "natural" exploration queries that reveal small
pieces of its topology, we prove that deterministic and Las Vegas algorithms
must in the worst case perform $n - o(n)$ queries and explore essentially the
entire graph, independently of the specific types of query employed. On the
other hand we show that, depending on the types of query available, Monte Carlo
algorithms can perform asymptotically better: if allowed to both explore the
local topology around single nodes and access nodes at random in the graph they
need $\Omega(n^{2/3})$ queries in the worst case, otherwise they still need
$\Omega(n)$ queries similarly to Las Vegas algorithms. All our bounds
generalize and tighten those already known, cover the different types of graph
exploration queries appearing in the literature, and immediately apply also to
the problem of approximating the PageRank score of single nodes.


title: Digital quantum simulation of many-body non-Markovian dynamics

abstract:
  We present an algorithmic method for the digital quantum simulation of
many-body locally indivisible non-Markovian open quantum systems. It consists
of two parts: firstly, a Suzuki-Lie-Trotter decomposition of the global system
propagator into the product of subsystem propagators, which may not be quantum
channels, and secondly, an algorithmic procedure for the implementation of the
subsystem propagators through unitary operations and measurements on a dilated
space. By providing rigorous error bounds for the relevant Suzuki-Lie-Trotter
decomposition, we are able to analyze the efficiency of the method, and connect
it with an appropriate measure of the local indivisibility of the system. In
light of our analysis, the proposed method is expected to be experimentally
achievable for a variety of interesting cases.


title: Verifying Security Policies using Host Attributes

abstract:
  For the formal verification of a network security policy, it is crucial to
express the verification goals. These formal goals, called security invariants,
should be easy to express for the end user. Focusing on access control and
information flow security strategies, this work discovers and proves universal
insights about security invariants. This enables secure and convenient
auto-completion of host attribute configurations. We demonstrate our results in
a civil aviation scenario. All results are machine-verified with the
Isabelle/HOL theorem prover.


title:
ALMA resolves the torus of NGC 1068: continuum and molecular line
  emission

abstract:
  We have used the Atacama Large Millimeter Array (ALMA) to map the emission of
the CO(6-5) molecular line and the 432 {\mu}m continuum emission from the 300
pc-sized circumnuclear disk (CND) of the nearby Seyfert 2 galaxy NGC 1068 with
a spatial resolution of ~4 pc. These observations spatially resolve the CND
and, for the first time, image the dust emission, the molecular gas
distribution, and the kinematics from a 7-10 pc-diameter disk that represents
the submillimeter counterpart of the putative torus of NGC 1068. We fitted the
nuclear spectral energy distribution of the torus using ALMA and near and
mid-infrared (NIR/MIR) data with CLUMPY models. The mass and radius of the
best-fit solution for the torus are both consistent with the values derived
from the ALMA data alone: Mgas_torus=(1+-0.3)x10^5 Msun and Rtorus=3.5+-0.5 pc.
The dynamics of the molecular gas in the torus show non-circular motions and
enhanced turbulence superposed on the rotating pattern of the disk. The
kinematic major axis of the CO torus is tilted relative to its morphological
major axis. By contrast with the nearly edge-on orientation of the H2O
megamaser disk, we have found evidence suggesting that the molecular torus is
less inclined (i=34deg-66deg) at larger radii. The lopsided morphology and
complex kinematics of the torus could be the signature of the
Papaloizou-Pringle instability, long predicted to likely drive the dynamical
evolution of active galactic nuclei (AGN) tori.


title: Semantics-Preserving Simplification of Real-World Firewall Rule Sets

abstract:
  The security provided by a firewall for a computer network almost completely
depends on the rules it enforces. For over a decade, it has been a well-known
and unsolved problem that the quality of many firewall rule sets is
insufficient. Therefore, there are many tools to analyze them. However, we
found that none of the available tools could handle typical, real-world
iptables rulesets. This is due to the complex chain model used by iptables, but
also to the vast amount of possible match conditions that occur in real-world
firewalls, many of which are not understood by academic and open source tools.
  In this paper, we provide algorithms to transform firewall rulesets. We
reduce the execution model to a simple list model and use ternary logic to
abstract over all unknown match conditions. These transformations enable
existing tools to understand real-world firewall rules, which we demonstrate on
four decently-sized rulesets. %After preparation with our algorithms, tools
could understand them. Using the Isabelle theorem prover, we formally show that
all our algorithms preserve the firewall's filtering behavior.


title: Intercalation of graphene on SiC(0001) via ion-implantation

abstract:
  Electronic devices based on graphene technology are catching on rapidly and
the ability to engineer graphene properties at the nanoscale is becoming, more
than ever, indispensable. Here, we present a new procedure of graphene
functionalization on SiC(0001) that paves the way towards the fabrication of
complex graphene electronic chips. The procedure resides on the well-known
ion-implantation technique. The efficiency of the working principle is
demonstrated by the intercalation of the epitaxial graphene layer on SiC(0001)
with Bi atoms, which was not possible following standard procedures. Our
results put forward the ion-beam lithography to nanostructure and functionalize
desired graphene chips.


title: Probing the non-unitarity of the leptonic mixing matrix at the CEPC

abstract:
  The non-unitarity of the leptonic mixing matrix is a generic signal of new
physics aiming at the generation of the observed neutrino masses. We discuss
the Minimal Unitarity Violation (MUV) scheme, an effective field theory
framework which represents the class of extensions of the Standard Model (SM)
by heavy neutral leptons, and discuss the present bounds on the non-unitarity
parameters as well as estimates for the sensitivity of the Circular Electron
Positron Collider (CEPC), based on the performance parameters from the preCDR.


title:
Classical analog of St\"uckelberg interferometry with two coupled
  mechanical resonators

abstract:
  Coupled nanomechanical resonators have recently attracted much attention for
both fundamental studies in physics and broad applications in high-precession
detection or sensing. By studying the Landau-Zener transitions and Rabi
oscillation of two coupled resonators, it has been shown that such a two-mode
system acts as a classical two-level system bearing the analog to a quantum
mechanical two-level one. Here we construct a St\"uckelberg interferometer with
two coupled cantilevers by driving the system through the avoided crossing
twice. By measuring the non-adiabatic phase acquired at the Landau-Zener
transition, we unveil an in-depth analog between the two-mode and quantum
two-level systems. Our study opens up new opportunities for constructing
interferometers with classical devices.


title:
Ballistic Transport in One-Dimensional Quasi-Periodic Continuous
  Schr\"odinger Equation

abstract:
  For the solution $q(t)$ to the one-dimensional continuous Schr\"odinger
equation $${\rm i}\partial_t{q}(x,t)=-\partial_x^2 q(x,t) + V(\omega x) q(x,t),
\quad x\in{\Bbb R},$$ with $\omega\in{\Bbb R}^d$ satisfying a Diophantine
condition, and $V$ a real-analytic function on ${\Bbb T}^d$, we consider the
growth rate of the diffusion norm $\|q(t)\|_{D}:=\left(\int_{\Bbb
R}x^2|q(x,t)|^2dx\right)^{\frac12}$ for any non-zero initial condition $q(0)\in
H^{1}({\Bbb R})$ with $\|q(0)\|_D<\infty$. We prove that $\|q(t)\|_{D}$ grows
{\it linearly} with $t$ if $V$ is sufficiently small.


title:
Global classical solutions in chemotaxis(-Navier)-Stokes system with
  rotational flux term

abstract:
  The coupled chemotaxis fluid system \begin{equation} \left\{
\begin{array}{llc} \displaystyle n_t=\Delta n-\nabla\cdot(nS(x,n,c)\cdot\nabla
c)-u\cdot\nabla n, &(x,t)\in \Omega\times (0,T),\\ c_t=\Delta c-nc-u\cdot\nabla
c , &(x,t)\in\Omega\times (0,T),\\ u_t=\Delta u-\kappa(u\cdot\nabla)u+\nabla
P+n\nabla\phi , &(x,t)\in\Omega\times (0,T),\\ \nabla\cdot
u=0,&(x,t)\in\Omega\times (0,T), \end{array} \right.(\star) \end{equation} is
considered under the no-flux boundary conditions for $n,c$ and the Dirichlet
boundary condition for $u$ on a bounded smooth domain
$\Omega\subset\mathbb{R}^N$ ($N=2,3$), $\kappa=0,1$. We assume that $S(x,n,c)$
is a matrix-valued sensitivity under a mild assumption such that
$|S(x,n,c)|<S_0(c_0)$ with some non-decreasing function $S_0\in
C^2((0,\infty))$. It contrasts the related scalar sensitivity case that
$(\star)$ does not possess the natural {\em gradient-like} functional
structure. Associated estimates based on the natural functional seem no longer
available. In the present work, a global classical solution is constructed
under a smallness assumption on $\|c_0\|_{L^\infty(\Omega)}$ and moreover we
obtain boundedness and large time convergence for the solution, meaning that
small initial concentration of chemical forces stabilization.


title: Testable SUSY spectra from GUTs at a 100 TeV pp collider

abstract:
  Grand Unified Theories (GUTs) are attractive candidates for more fundamental
elementary particle theories. They can not only unify the Standard Model (SM)
interactions but also different types of SM fermions, in particular quarks and
leptons, in joint representations of the GUT gauge group. We discuss how
comparing predictive supersymmetric GUT models with the experimental results
for quark and charged lepton masses leads to constraints on the SUSY spectrum.
We show an example from a recent analysis where the resulting superpartner
masses where found just beyond the reach of LHC run 1, but fully within the
reach of a 100 TeV pp collider.


title: SIM$(1)$--VSR Maxwell-Chern-Simons electrodynamics

abstract:
  In this paper we propose a very special relativity (VSR)-inspired
generalization of the Maxwell-Chern-Simons (MCS) electrodynamics. This proposal
is based upon the construction of a proper study of the SIM$(1)$--VSR
gauge-symmetry. It is shown that the VSR nonlocal effects present a significant
and health departure from the usual MCS theory. The classical dynamics is
analysed in full detail, by studying the solution for the electric field and
static energy for this configuration. Afterwards, the interaction energy
between opposite charges are derived and we show that the VSR effects play an
important part in obtaining a (novel) finite expression for the static
potential.


title:
Plasma Propulsion of a Metallic Micro-droplet and its Deformation upon
  Laser Impact

abstract:
  The propulsion of a liquid indium-tin micro-droplet by nanosecond-pulse laser
impact is experimentally investigated. We capture the physics of the droplet
propulsion in a scaling law that accurately describes the plasma-imparted
momentum transfer, enabling the optimization of the laser-droplet coupling. The
subsequent deformation of the droplet is described by an analytical model that
accounts for the droplet's propulsion velocity and the liquid properties.
Comparing our findings to those from vaporization-accelerated mm-sized water
droplets, we demonstrate that the hydrodynamic response of laser-impacted
droplets is scalable and independent of the propulsion mechanism.


title: A GIT construction of degenerations of Hilbert schemes of points

abstract:
  We present a Geometric Invariant Theory (GIT) construction which allows us to
construct good projective degenerations of Hilbert schemes of points for simple
degenerations. A comparison with the construction of Li and Wu shows that our
GIT stack and the stack they construct are isomorphic, as are the associated
coarse moduli schemes. Our construction is sufficiently explicit to obtain good
control over the geometry of the singular fibres. We illustrate this by giving
a concrete description of degenerations of degree $n$ Hilbert schemes of a
simple degeneration with two components.


title: Differences of halting probabilities

abstract:
  The halting probabilities of universal prefix-free machines are universal for
the class of reals with computably enumerable left cut (also known as left-c.e.
reals), and coincide with the Martin-Loef random elements of this class. We
study the differences of Martin-Loef random left-c.e. reals and show that for
each pair of such reals a, b there exists a unique number r > 0 such that qa -
b is a 1-random left-c.e. real for each positive rational q > r and a 1-random
right-c.e. real for each positive rational q < r. Based on this result we
develop a theory of differences of halting probabilities, which answers a
number of questions about Martin-Loef random left-c.e. reals, including one of
the few remaining open problems from the list of open questions in algorithmic
randomness by Miller and Nies in 2006. The halting probability of a prefix-free
machine M restricted to a set X is the probability that the machine halts and
outputs an element of X. These numbers Omega_M(X) were studied by a number of
authors in the last decade as a way to obtain concrete highly random numbers.
When X is the complement of a computably enumerable set, the number Omega_M(X)
is the difference of two halting probabilities. Becher, Figueira, Grigorieff,
and Miller asked whether Omega_U(X) is Martin-Loef random when U is universal
and X is the complement of a computably enumerable set. This problem has
resisted numerous attempts in the last decade. We apply our theory of
differences of halting probabilities to give a positive answer, and show that
Omega_U(X) is a Martin-Loef random left-c.e. real whenever X is nonempty and
the complement of a computably enumerable set.


title:
Moving horizon estimation for discrete-time linear systems with binary
  sensors: algorithms and stability results

abstract:
  The paper addresses state estimation for linear discrete-time systems with
binary (threshold) measurements. A Moving Horizon Estimation (MHE) approach is
followed and different estimators, characterized by two different choices of
the cost function to be minimized and/or by the possible inclusion of
constraints, are proposed. Specifically, the cost function is either quadratic,
when only the information pertaining to the threshold-crossing instants is
exploited, or piece-wise quadratic, when all the available binary measurements
are taken into account. Stability results are provided for the proposed MHE
algorithms in the presence of unknown but bounded disturbances and measurement
noises. Performance of the proposed techniques is also assessed by means of a
simulation example.


title: Variationally fitting the total electron-electron interaction

abstract:
  Density fitting is used throughout quantum chemistry to simplify the
electron-electron interaction energy (EE). A fundamental property of quantum
chemistry, and DFT in particular, is that a variational principle connects the
EE to a potential. Density fitting generally does not preserve this connection.
Herein, we describe the construction of a robust EE that is variationally
connected to fitted potentials in all electronic structure methods. For DFT,
this results in new fitting equations which are satisfied at an energy saddle
point in multidimensional fitting space.


title:
Second-Order Extended Kalman Filter for Extended Object and Group
  Tracking

abstract:
  In this paper, we propose a novel method for estimating an elliptic shape
approximation of a moving extended object that gives rise to multiple scattered
measurements per frame. For this purpose, we parameterize the elliptic shape
with its orientation and the lengths of the semi-axes. We relate an individual
measurement with the ellipse parameters by means of a multiplicative noise
model and derive a second-order extended Kalman filter for a closed-form
recursive measurement update. The benefits of the new method are discussed by
means of Monte Carlo simulations for both static and dynamic scenarios.


title:
On existence of an x-integral for a semi-discrete chain of hyperbolic
  type

abstract:
  A class of semi-discrete chains of the form $t_{1x} = f(x, t, t_1, t_x)$ is
considered. For the given chains easily verifiable conditions for existence of
x-integral of minimal order 4 are obtained.


title:
Semi-discrete hyperbolic equations admitting five dimensional
  characteristic $x$-ring

abstract:
  The necessary and sufficient conditions for a hyperbolic semi-discrete
equation to have five dimensional characteristic {\it x}-ring are derived. For
any given chain, the derived conditions are easily verifiable by
straightforward calculations.


title: Ordering of nested square roots of 2 according to Gray code

abstract:
  In this paper we discuss some relations between zeros of Lucas-Lehmer
polynomials and Gray code. We study nested square roots of 2 applying a "binary
code" that associates bits $0$ and $1$ to $\oplus$ and $\ominus$ signs in the
nested form. This gives the possibility to obtain an ordering for the zeros of
Lucas-Lehmer polynomials, which assume the form of nested square roots of 2.


title: Lower-Cost epsilon-Private Information Retrieval

abstract:
  Private Information Retrieval (PIR), despite being well studied, is
computationally costly and arduous to scale. We explore lower-cost relaxations
of information-theoretic PIR, based on dummy queries, sparse vectors, and
compositions with an anonymity system. We prove the security of each scheme
using a flexible differentially private definition for private queries that can
capture notions of imperfect privacy. We show that basic schemes are weak, but
some of them can be made arbitrarily safe by composing them with large
anonymity systems.


title:
On acceleration of Krylov-subspace-based Newton and Arnoldi iterations
  for incompressible CFD: replacing time steppers and generation of initial
  guess

abstract:
  We propose two techniques aimed at improving the convergence rate of steady
state and eigenvalue solvers preconditioned by the inverse Stokes operator and
realized via time-stepping. First, we suggest a generalization of the Stokes
operator so that the resulting preconditioner operator depends on several
parameters and whose action preserves zero divergence and boundary conditions.
The parameters can be tuned for each problem to speed up the convergence of a
Krylov-subspace-based linear algebra solver. This operator can be inverted by
the Uzawa-like algorithm, and does not need a time-stepping. Second, we propose
to generate an initial guess of steady flow, leading eigenvalue and eigenvector
using orthogonal projection on a divergence-free basis satisfying all boundary
conditions. The approach, including the two proposed techniques, is illustrated
on the solution of the linear stability problem for laterally heated square and
cubic cavities.


title: Single inclusive forward hadron production at next-to-leading order

abstract:
  We discuss single inclusive hadron production from a high energy quark
scattering off a strong target color field in the Color Glass Condensate
formalism. Recent calculations of this process at the next-to-leading order
accuracy have led to negative cross sections at large transverse momenta. We
identify the origin of this problem as an oversubtraction of the rapidity
divergence into the Balitsky-Kovchegov evolution equation for the target. We
propose a new way to implement the kinematical restriction on the emitted
gluons to overcome this difficulty.


title:
Discrete step sizes of molecular motors lead to bimodal non-Gaussian
  velocity distributions under force

abstract:
  Fluctuations in the physical properties of biological machines are
inextricably linked to their functions. Distributions of run-lengths and
velocities of processive molecular motors, like kinesin-1, are accessible
through single molecule techniques, yet there is lack a rigorous theoretical
model for these probabilities up to now. We derive exact analytic results for a
kinetic model to predict the resistive force ($F$) dependent velocity ($P(v)$)
and run-length ($P(n)$) distribution functions of generic finitely processive
molecular motors that take forward and backward steps on a track. Our theory
quantitatively explains the zero force kinesin-1 data for both $P(n)$ and
$P(v)$ using the detachment rate as the only parameter, thus allowing us to
obtain the variations of these quantities under load. At non-zero $F$, $P(v)$
is non-Gaussian, and is bimodal with peaks at positive and negative values of
$v$. The prediction that $P(v)$ is bimodal is a consequence of the discrete
step-size of kinesin-1, and remains even when the step-size distribution is
taken into account. Although the predictions are based on analyses of kinesin-1
data, our results are general and should hold for any processive motor, which
walks on a track by taking discrete steps.


title: Multimode coherent states and the Lorentz-invariant mass of light pulses

abstract:
  The total mass of noncollinear photons forming diverging light pulses is
defined and found explicitly. Both classical and quantum derivations are
presented. The quantum derivation is based on the use of multimode coherent
states, and links between parameters of these states and those of the classical
field strength are established.


title:
Higgs bosons: discovered and hidden, in extended Supersymmetric Standard
  Models at the LHC

abstract:
  We investigate an extension of the Minimal Supersymmetric Standard Model
(MSSM) containing a $SU(2)$ Higgs triplet of zero hypercharge and a gauge
singlet. We focus on a scenario of this model which allows a light pseudoscalar
and/or a scalar below $100$ GeV in the spectrum, consistent with the most
recent data from the LHC and the earlier data from the LEP experiments. We
analyze the exotic decay of the discovered Higgs $(h_{125})$ into two light
(hidden) Higgs bosons present in the extension. The latter are allowed by the
uncertainties in the Higgs decay $h_{125}\to WW^*$, $h_{125}\to ZZ^*$ and
$h_{125}\to \gamma\gamma$. We have searched for such light Higgs bosons in the
$2b+2\tau$, $\geq 3\tau$, $2b+2\mu$ and $2\tau+2\mu$ final states at the LHC
with 13 and 14 TeV. A region of such parameter space can be explored with an
integrated luminosity of 25 fb$^{-1}$ at the LHC.


title: The Galactic sky through H.E.S.S. eyes

abstract:
  The High Energy Stereoscopic System (H.E.S.S.) is an array of five imaging
atmospheric Cherenkov telescopes. Since 2003 it has been operating in the
configuration of four 12 m telescopes complemented in 2012 by a much bigger 28
m telescope in the centre of the array. It is designed to detect very high
energy (VHE) gamma-rays in the range of ~20 GeV to ~50 TeV. Over the past
decade it performed extremely successful observations of the Galactic plane,
which led to the discovery of about 70 sources amongst which the most numerous
classes are pulsar wind nebulae, supernova remnants and binary systems.
Recently H.E.S.S. also discovered the VHE emission from the Vela pulsar, which
became the second pulsar detected at TeV energies after the Crab pulsar. An
overview of the main H.E.S.S. discoveries in our Galaxy and their implications
on the understanding of physical processes is discussed in this paper.


title:
Effect of Jitter on the Settling Time of Mesochronous Clock Retiming
  Circuits

abstract:
  It is well known that timing jitter can degrade the bit error rate (BER) of
receivers that recover the clock from input data. However, timing jitter can
also result in an indefinite increase in the settling time of clock recovery
circuits, particularly in low swing mesochronous systems. Mesochronous clock
retiming circuits are required in repeaterless low swing on-chip interconnects.
We first discuss how timing jitter can result in a large increase in the
settling time of the clock recovery circuit. Next, the circuit is modelled as a
Markov chain with absorbing states. The mean time to absorption of the Markov
chain, which represents the mean settling time of the circuit, is determined.
The model is validated through behavioural simulations of the circuit, the
results of which match well with the model predictions. We consider circuits
with (i) data dependent jitter, (ii) random jitter, and (iii) combination of
both of them. We show that a mismatch between the strengths of up and down
corrections of the retiming can reduce the settling time. In particular, a 10%
mismatch can reduce the mean settling time by up to 40%. We leverage this fact
toward improving the settling time performance, and propose useful techniques
based on biased training sequences and mismatched charge pumps. We also present
a coarse+fine clock retiming circuit, which can operate in coarse first mode,
to reduce the settling time substantially. These fast settling retiming
circuits are verified with circuit simulations.


title: Ge doping of GaN beyond the Mott transition

abstract:
  We present a study of germanium as n-type dopant in wurtzite GaN films grown
by plasma-assisted molecular beam epitaxy, reaching carrier concentrations of
up to 6.7E20 cm-3 at 300K, well beyond the Mott density. The Ge concentration
and free carrier density were found to scale linearly with the Ge flux in the
studied range. All the GaN:Ge layers present smooth surface morphology with
atomic terraces, without trace of pits or cracks, and the mosaicity of the
samples has no noticeable dependence on the Ge concentration. The variation of
the GaN:Ge band gap with the carrier concentration is consistent with
theoretical calculations of the band gap renormalization due to
electron-electron and electron-ion interaction, and Burstein-Moss effect.


title: GK Per and EX Hya: Intermediate polars with small magnetospheres

abstract:
  Observed hard X-ray spectra of intermediate polars are determined mainly by
the accretion flow velocity at the white dwarf surface, which is normally close
to the free-fall velocity. This allows to estimate the white dwarf masses as
the white dwarf mass-radius relation M-R and the expected free-fall velocities
at the surface are well known. This method is widely used, however, derived
white dwarf masses M can be systematically underestimated because the accretion
flow is stopped at and re-accelerates from the magnetospheric boundary R_m, and
therefore, its velocity at the surface will be lower than free-fall.To avoid
this problem we computed a two-parameter set of model hard X-ray spectra, which
allows to constrain a degenerate M - R_m dependence. On the other hand,
previous works showed that power spectra of accreting X-ray pulsars and
intermediate polars exhibit breaks at the frequencies corresponding to the
Keplerian frequencies at the magnetospheric boundary. Therefore, the break
frequency \nu_b in an intermediate polar power spectrum gives another relation
in the M - R_m plane. The intersection of the two dependences allows,
therefore, to determine simultaneously the white dwarf mass and the
magnetospheric radius. To verify the method we analyzed the archival Suzaku
observation of EX Hya obtaining M /M_sun= 0.73 \pm 0.06 and R_ m / R = 2.6 \pm
0.4 consistent with the values determined by other authors. Subsequently, we
applied the same method to a recent NuSTAR observation of another intermediate
polar GK~Per performed during an outburst and found M/M_sun = 0.86 \pm 0.02 and
R_ m / R = 2.8 \pm 0.2. The long duration observations of GK Per in quiescence
performed by Swift/BAT and INTEGRAL observatories indicate increase of
magnetosphere radius R_m at lower accretion rates.


title:
Building an Internet Radio System with Interdisciplinary factored system
  for automatic content recommendation

abstract:
  Automatic systems for music content recommendation have assumed a new role in
recent years. These systems have transformed from being just a convenient,
standalone tool into an inseparable element of modern living. In addition, not
only do these systems strongly influence human moods and feelings with the
selection of proper music content, but they also provide significant commercial
and advertising opportunities. This research aims to examine and implement two
such systems available for the automatic recognition and recommendation of
music and advertisement content for Internet radio. Through analysis of the
practical issues of application fields and spheres of influence, conclusions
will be drawn about the possible perspectives on and future role of such
systems. Other content adaptation that is based on music genres will be
discussed, as wellAnother aim of this study is to provide an innovative
Internet radio implementation as compared to traditional radio and other
Internet broadcast solutions. This will include automatic content
recommendation systems for listeners and marketing companies, as well as the
usage of a voice synthesizer in in automatic program scheduling.


title:
Feshbach resonances and weakly bound molecular states of boson-boson and
  boson-fermion NaK pairs

abstract:
  We study theoretically magnetically induced Feshbach resonances and
near-threshold bound states in isotopic NaK pairs. Our calculations accurately
reproduce Feshbach spectroscopy data on Na$^{40}$K and explain the origin of
the observed multiplets in the p-wave [Phys. Rev. A 85, 051602(R) (2012)]. We
apply the model to predict scattering and bound state threshold properties of
the boson-boson Na$^{39}$K and Na$^{41}$K systems. We find that the Na$^{39}$K
isotopic pair presents broad magnetic Feshbach resonances and favorable
ground-state features for producing non-reactive polar molecules by two-photon
association. Broad s-wave resonances are also predicted for Na$^{41}$K
collisions.


title: Decomposing graphs into a constant number of locally irregular subgraphs

abstract:
  A graph is locally irregular if no two adjacent vertices have the same
degree. The irregular chromatic index $\chi_{\rm irr}'(G)$ of a graph $G$ is
the smallest number of locally irregular subgraphs needed to edge-decompose
$G$. Not all graphs have such a decomposition, but Baudon, Bensmail,
Przyby{\l}o, and Wo\'zniak conjectured that if $G$ can be decomposed into
locally irregular subgraphs, then $\chi_{\rm irr}'(G)\leq 3$. In support of
this conjecture, Przyby{\l}o showed that $\chi_{\rm irr}'(G)\leq 3$ holds
whenever $G$ has minimum degree at least $10^{10}$.
  Here we prove that every bipartite graph $G$ which is not an odd length path
satisfies $\chi_{\rm irr}'(G)\leq 10$. This is the first general constant upper
bound on the irregular chromatic index of bipartite graphs. Combining this
result with Przyby{\l}o's result, we show that $\chi_{\rm irr}'(G) \leq 328$
for every graph $G$ which admits a decomposition into locally irregular
subgraphs. Finally, we show that $\chi_{\rm irr}'(G)\leq 2$ for every
$16$-edge-connected bipartite graph $G$.


title:
Performance of the ATLAS Precision Muon Chambers under LHC Operating
  Conditions

abstract:
  For the muon spectrometer of the ATLAS detector at the large hadron collider
(LHC), large drift chambers consisting of 6 to 8 layers of pressurized drift
tubes are used for precision tracking covering an active area of 5000 m2 in the
toroidal field of superconducting air core magnets. The chambers have to
provide a spatial resolution of 41 microns with Ar:CO2 (93:7) gas mixture at an
absolute pressure of 3 bar and gas gain of 2?104. The environment in which the
chambers will be operated is characterized by high neutron and background with
counting rates of up to 100 per square cm and second. The resolution and
efficiency of a chamber from the serial production for ATLAS has been
investigated in a 100 GeV muon beam at photon irradiation rates as expected
during LHC operation. A silicon strip detector telescope was used as external
reference in the beam. The spatial resolution of a chamber is degraded by 4 ?m
at the highest background rate. The detection efficiency of the drift tubes is
unchanged under irradiation. A tracking efficiency of 98% at the highest rates
has been demonstrated.


title: Super-linear spreading in local bistable cane toads equations

abstract:
  In this paper, we study the influence of an Allee effect on the spreading
rate in a local reaction-diffusion-mutation equation modelling the invasion of
cane toads in Australia. We are, in particular, concerned with the case when
the diffusivity can take unbounded values. We show that the acceleration
feature that arises in this model with a Fisher-KPP, or monostable,
non-linearity still occurs when this non-linearity is instead bistable, despite
the fact that this kills the small populations. This is in stark contrast to
the work of Alfaro, Gui-Huan, and Mellet-Roquejoffre-Sire in related models,
where the change to a bistable non-linearity prevents acceleration.


title:
Influence of the energy-band structure on ultracold reactive processes
  in lattices

abstract:
  We study theoretically ultracold collisions in quasi one-dimensional optical
traps for bosonic and fermionic reactive molecules in the presence of a
periodic potential along the trap axis. Elastic, reactive, and umklapp
processes due to non-conservation of the center of mass motion are investigated
for parameters of relevant experimental interest. The model naturally keeps
into account the effect of excited energy bands and is particularly suited for
being adapted to rigorous close-coupled calculations. Our formalism shows that
a correct derivation of the parameters in tight-binding effective models must
include the strong momentum dependence of the coupling constant we predict even
for deep lattices.


title:
Tensor Representations via Kernel Linearization for Action Recognition
  from 3D Skeletons (Extended Version)

abstract:
  In this paper, we explore tensor representations that can compactly capture
higher-order relationships between skeleton joints for 3D action recognition.
We first define RBF kernels on 3D joint sequences, which are then linearized to
form kernel descriptors. The higher-order outer-products of these kernel
descriptors form our tensor representations. We present two different kernels
for action recognition, namely (i) a sequence compatibility kernel that
captures the spatio-temporal compatibility of joints in one sequence against
those in the other, and (ii) a dynamics compatibility kernel that explicitly
models the action dynamics of a sequence. Tensors formed from these kernels are
then used to train an SVM. We present experiments on several benchmark datasets
and demonstrate state of the art results, substantiating the effectiveness of
our representations.


title:
Large-Scale Production of Monitored Drift Tube Chambers for the ATLAS
  Muon Spectrometer

abstract:
  Precision drift tube chambers with a sense wire positioning accuracy of
better than 20 microns are under construction for the ATLAS muon spectrometer.
70% of the 88 large chambers for the outermost layer of the central part of the
spectrometer have been assembled. Measurements during chamber construction of
the positions of the sense wires and of the sensors for the optical alignment
monitoring system demonstrate that the requirements for the mechanical
precision of the chambers are fulfilled.


title:
Polar decomposition of regularly varying time series in star-shaped
  metric spaces

abstract:
  There exist two ways of defining regular variation of a time series in a
star-shaped metric space: either by the distributions of finite stretches of
the series or by viewing the whole series as a single random element in a
sequence space. The two definitions are shown to be equivalent. The
introduction of a norm-like function, called modulus, yields a polar
decomposition similar to the one in Euclidean spaces. The angular component of
the time series, called angular or spectral tail process, captures all aspects
of extremal dependence. The stationarity of the underlying series induces a
transformation formula of the spectral tail process under time shifts.


title: Power-efficiency-dissipation relations in linear thermodynamics

abstract:
  We derive general relations between maximum power, maximum efficiency, and
minimum dissipation regimes from linear irreversible thermodynamics. The
relations simplify further in the presence of a particular symmetry of the
Onsager matrix, which can be derived from detailed balance. The results are
illustrated on a periodically driven system and a three terminal device subject
to an external magnetic field.


title:
Determinantal representations of the quaternion weighted Moore-Penrose
  inverse and corresponding Cramer's rule

abstract:
  Weighted singular value decomposition (WSVD) and a representation of the
weighted Moore-Penrose inverse of a quaternion matrix by WSVD have been
derived. Using this representation, limit and determinantal representations of
the weighted Moore-Penrose inverse of a quaternion matrix have been obtained
within the framework of the theory of the noncommutative column-row
determinants. By using the obtained analogs of the adjoint matrix, we get the
Cramer rules for the weighted Moore-Penrose solutions of left and right systems
of quaternion linear equations.


title:
Interband coupling and transport interband scattering in $s_{\pm}$
  superconductors

abstract:
  A two-band model with repulsive interband coupling and interband {\it
transport} (potential) scattering is considered to elucidate their effects on
material properties. In agreement with previous work, we find that the bands
order parameters $\Delta_{1,2}$ differ and the large is at the band with a
smaller normal density of states (DOS), $N_{n2}<N_{n1}$. However, the bands
energy gaps, as determined by the energy dependence of the DOS, are equal due
to scattering. For each temperature, the gaps turn zero at a certain critical
interband scattering rate, i.e. for strong enough scattering the model material
becomes gappless. In the gapless state, the DOS at the band 2 is close to the
normal state value, whereas at the band 1 it has a V-shape with non-zero
minimum. When the normal bands DOS' are mismatched, $N_{n1}\ne N_{n2}$, the
critical temperature $T_c$ is suppressed even in the absence of interband
scattering, $T_c(N_{n1})$ has a dome-like shape. With increasing interband
scattering, the London penetration depth at low temperatures evolves from being
exponentially flat to the power-law and even to near linear behavior in the
gapless state, the latter being easily misinterpreted as caused by order
parameter nodes.


title: Static and dynamic properties of large polymer melts in equilibrium

abstract:
  We present a detailed study of the static and dynamic behavior of long
semiflexible polymer chains in a melt. Starting from previously obtained fully
equilibrated high molecular weight polymer melts [{\it Zhang et al.} ACS Macro
Lett. 3, 198 (2014)] we investigate their static and dynamic scaling behavior
as predicted by theory. We find that for semiflexible chains in a melt, results
of the mean square internal distance, the probability distributions of the
end-to-end distance, and the chain structure factor are well described by
theoretical predictions for ideal chains. We examine the motion of monomers and
chains by molecular dynamics simulations using the ESPResSo++ package. The
scaling predictions of the mean squared displacement of inner monomers, center
of mass, and relations between them based on the Rouse and the reptation theory
are verified, and related characteristic relaxation times are determined.
Finally we give evidence that the entanglement length $N_{e,PPA}$ as determined
by a primitive path analysis (PPA) predicts a plateau modulus,
$G_N^0=\frac{4}{5}(\rho k_BT/N_e)$, consistent with stresses obtained from the
Green-Kubo relation. These comprehensively characterized equilibrium
structures, which offer a good compromise between flexibility, small $N_e$,
computational efficiency, and small deviations from ideality provide ideal
starting states for future non-equilibrium studies.


title:
Gravitational-wave signal from binary neutron stars: a systematic
  analysis of the spectral properties

abstract:
  A number of works have shown that important information on the equation of
state of matter at nuclear density can be extracted from the gravitational
waves emitted by merging neutron-star binaries. We present a comprehensive
analysis of the gravitational-wave signal emitted during the inspiral, merger
and post-merger of 56 neutron-star binaries. This sample of binaries, arguably
the largest studied to date with realistic equations of state, spans across six
different nuclear-physics equations of state and ten masses, allowing us to
sharpen a number of results recently obtained on the spectral properties of the
gravitational-wave signal. Overall we find that: (i) for binaries with masses
differing no more than $20\%$, the frequency at gravitational-wave amplitude's
maximum is related quasi-universally with the tidal deformability of the two
stars; (ii) the spectral properties vary during the post-merger phase, with a
transient phase lasting a few millisecond after the merger and followed by a
quasi-stationary phase; (iii) when distinguishing the spectral peaks between
these two phases, a number of ambiguities in the identification of the peaks
disappear, leaving a simple and robust picture; (iv) using properly identified
frequencies, quasi-universal relations are found between the spectral features
and the properties of the neutron stars; (v) for the most salient peaks
analytic fitting functions can be obtained in terms of the stellar tidal
deformability or compactness. Altogether, these results support the idea that
the equation of state of nuclear matter can be constrained tightly when a
signal in gravitational waves from binary neutron stars is detected.


title:
Tangent map intermittency as an approximate analysis of intermittency in
  a high dimensional fully stochastic dynamical system: The Tangled Nature
  model

abstract:
  It is well known that low-dimensional nonlinear deterministic maps close to a
tangent bifurcation exhibit intermittency and this circumstance has been
exploited, e.g. by Procaccia and Schuster [Phys. Rev. A 28, 1210 (1983)], to
develop a general theory of 1/f spectra. This suggests it is interesting to
study the extent to which the behavior of a high-dimensional stochastic system
can be described by such tangent maps. The Tangled Nature (TaNa) Model of
evolutionary ecology is an ideal candidate for such a study, a significant
model as it is capable of reproducing a broad range of the phenomenology of
macroevolution and ecosystems. The TaNa model exhibits strong intermittency
reminiscent of Punctuated Equilibrium and, like the fossil record of mass
extinction, the intermittency in the model is found to be non-stationary, a
feature typical of many complex systems. We derive a mean-field version for the
evolution of the likelihood function controlling the reproduction of species
and find a local map close to tangency. This mean-field map, by our own local
approximation, is able to describe qualitatively only one episode of the
intermittent dynamics of the full TaNa model. To complement this result we
construct a complete nonlinear dynamical system model consisting of successive
tangent bifurcations that generates time evolution patterns resembling those of
the full TaNa model in macroscopic scales. In spite of the limitations of our
approach, that entails a drastic collapse of degrees of freedom, the
description of a high-dimensional model system in terms of a low-dimensional
one appears to be illuminating.


title:
Nonequilibrium dynamics of the three-dimensional Edwards-Anderson
  spin-glass model with Gaussian couplings: Strong heterogeneities and the
  backbone picture

abstract:
  We numerically study the three-dimensional Edwards-Anderson model with
Gaussian couplings, focusing on the heterogeneities arising in its
nonequilibrium dynamics. Results are analyzed in terms of the backbone picture,
which links strong dynamical heterogeneities to spatial heterogeneities
emerging from the correlation of local rigidity of the bond network. Different
two-times quantities as the flipping time distribution and the correlation and
response functions, are evaluated over the full system and over high- and
low-rigidity regions. We find that the nonequilibrium dynamics of the model is
highly correlated to spatial heterogeneities. Also, we observe a similar
physical behavior to that previously found in the Edwards-Anderson model with a
bimodal (discrete) bond distribution. Namely, the backbone behaves as the main
structure that supports the spin-glass phase, within which a sort of
domain-growth process develops, while the complement remains in a paramagnetic
phase, even below the critical temperature.