title: Invariant forms on irreducible modules of simple algebraic groups

abstract:
  Let $G$ be a simple linear algebraic group over an algebraically closed field
$K$ of characteristic $p \geq 0$ and let $V$ be an irreducible rational
$G$-module with highest weight $\lambda$. When $V$ is self-dual, a basic
question to ask is whether $V$ has a non-degenerate $G$-invariant alternating
bilinear form or a non-degenerate $G$-invariant quadratic form.
  If $p \neq 2$, the answer is well known and easily described in terms of
$\lambda$. In the case where $p = 2$, we know that if $V$ is self-dual, it
always has a non-degenerate $G$-invariant alternating bilinear form. However,
determining when $V$ has a non-degenerate $G$-invariant quadratic form is a
classical problem that still remains open. We solve the problem in the case
where $G$ is of classical type and $\lambda$ is a fundamental highest weight
$\omega_i$, and in the case where $G$ is of type $A_l$ and $\lambda = \omega_r
+ \omega_s$ for $1 \leq r < s \leq l$. We also give a solution in some specific
cases when $G$ is of exceptional type.
  As an application of our results, we refine Seitz's $1987$ description of
maximal subgroups of simple algebraic groups of classical type. One consequence
of this is the following result. If $X < Y < \operatorname{SL}(V)$ are simple
algebraic groups and $V \downarrow X$ is irreducible, then one of the following
holds: (1) $V \downarrow Y$ is not self-dual; (2) both or neither of the
modules $V \downarrow Y$ and $V \downarrow X$ have a non-degenerate invariant
quadratic form; (3) $p = 2$, $X = \operatorname{SO}(V)$, and $Y =
\operatorname{Sp}(V)$.


title: NEOPROP: a NEO Propagator for Space Situational Awareness

abstract:
  The overall aim of the Space Situational Awareness (SSA) Preparatory
Programme is to support the European independent utilisation of and access to
space for research or services, through providing timely and quality data,
information, services and knowledge regarding the environment, the threats and
the sustainable exploitation of the outer space surrounding our planet Earth.
The SSA system will comprise three main segments: Space Weather (SWE)
monitoring and forecast Near-Earth Objects (NEO) survey and follow-up Space
Surveillance and Tracking (SST) of man-made space objects. There already exist
different algorithms to predict orbits for NEOs. The objective of this activity
is to come up with a different trajectory prediction algorithm, which allows an
independent validation of the current algorithms within the SSA-NEO segment
(e.g. NEODyS, JPL Sentry System). The key objective of this activity was to
design, develop, test, verify, and validate trajectory prediction algorithm of
NEOs in order to be able to compute analytically and numerically the minimum
orbital intersection distances (MOIDs). The NEOPROP software consists of two
separate modules/tools: (i) the Analytical Module makes use of analytical
algorithms in order to rapidly assess the impact risk of a NEO. (ii) The
Numerical Module makes use of numerical algorithms in order to refine and to
better assess the impact probabilities.


title:
Hybrid Discretization Methods for Transient Numerical Simulation of
  Combustion in Porous Media

abstract:
  We present an algorithm for the numerical solution of the equations governing
combustion in porous inert media. The discretization of the flow problem is
performed by the mixed finite element method, the transport problems are
discretized by a cell-centered finite volume method. The resulting nonlinear
equations are lineararized with Newton's method, the linearized systems are
solved with a multigrid algorithm. Both subsystems are recoupled again in a
Picard iteration. Numerical simulations based on a simplified model show how
regions with different porosity stabilize the reaction zone inside the porous
burner.


title: Search for Dark Matter with LHC proton Beam Dump

abstract:
  Dark Matter (DM) comprising particles in the mass range of a few MeV to GeV
is waiting to be explored, given the many theoretical models accommodating
cosmological abundance. We hereby propose an experiment with the LHC proton
beam of 7 TeV striking onto the beam dump target, emitting neutrinos and
possibly, Dark Matter candidates. This experiment would also permit to observe
signatures involving elastic and inelastic processes involving DM candidates,
electrons and strongly interacting particles present in nuclei of the dump
target. There will be residual neutrino background present in each of these
signatures, hence the proposed experimental detector sub-systems would be such
that they would involve as final states, elastically or inelasticity scattered,
standard model particles. The bump or the excess in the tail of the kinematic
distributions will eventually give us glimpse of presence of new particles
which could possibly be Dark Matter candidates. Given the parameters of the LHC
machine, the sensitivity of such an experiment is unique in the energy region
it is supposed to exploit.


title: A Holographic Bound for D3-Brane

abstract:
  In this paper, we will regularize the holographic entanglement entropy,
holographic complexity and fidelity susceptibility for a configuration of
D3-branes. We will also study the regularization of the holographic complexity
from action for a configuration of D3-branes. It will be demonstrated that for
a spherical shell of D3-branes the regularized holographic complexity is always
greater than or equal to than the regularized fidelity susceptibility.
Furthermore, we will also demonstrate that the regularized holographic
complexity is related to the regularized holographic entanglement entropy for
this system. Thus, we will obtain a holographic bound involving regularized
holographic complexity, regularized holographic entanglement entropy and
regularized fidelity susceptibility of a configuration of D3-brane. We will
also discuss a bound for regularized holographic complexity from action, for a
D3-brane configuration.


title:
Spin-polarized quasiparticle tunneling in spin-filter pseudospin-valve
  devices

abstract:
  Spin selective nature of spin-filter tunnel junctions can be integrated with
conventional metallic ferromagnets to regulate spin polarized quasiparticles in
superconducting devices. We report fabrication of pseudo spin-valve device made
with a bilayer of nitride spin-filter tunnel barrier (DyN or GdN) and a
transition metal ferromagnet (Co and Gd). We show resistance switching in these
devices corresponding to parallel and antiparallel configuration of their
mutual magnetization direction. With optimal deposition process partial
nitridation of the Co layer can be achieved. The magnetically dead native
CoN$_x$ layer at the Co-DyN interface acts the role of the barrier in these
devices. In pseudo spin-valve with Co, lower resistance was found for
antiparallel state compared to parallel configuration. Reverse resistance
switching behavior was observed for the pseudo spin-valves with Gd. Presence of
resistance switching in these devices further confirm the spin-filtering nature
of DyN and GdN tunnel barrier. Quasiparticle transport at different
temperatures in these devices was found to be compatible with conventional
N-I-S tunnelling model. These devices can be further engineered to regulate
spin polarized supercurrent in superconducting spintronics devices.


title: Effects of entanglement in an ideal optical amplifier

abstract:
  In an ideal linear amplifier, the output signal is linearly related to the
input signal with an additive noise that is independent of the input. The
decoherence of a quantum-mechanical state as a result of optical amplification
is usually assumed to be due to the addition of quantum noise. Here we show
that entanglement between the input signal and the amplifying medium can
produce an exponentially-large amount of decoherence in an ideal optical
amplifier even when the gain is arbitrarily close to unity and the added noise
is negligible. These effects occur for macroscopic superposition states, where
even a small amount of gain can leave a significant amount of which-path
information in the environment. Our results show that the usual input/output
relation of a linear amplifier does not provide a complete description of the
output state when post-selection is used.


title: K-Long Facility for JLab and its Scientific Potential

abstract:
  Our main interest in creating a secondary high-quality KL-beam is to
investigate hyperon spectroscopy through both formation and production
processes. We propose to study two-body reactions induced by the KL-beam on the
proton target. The experiment should measure both differential cross sections
and self-analyzed polarizations of the produced $\Lambda$-, $\Sigma$-, and
$\Xi$-hyperons using the GlueX detector at the Jefferson Lab Hall D. New data
will greatly constrain partial-wave analysis and reduce model-dependent
uncertainties in the extraction of strange resonance properties, providing a
new benchmark for comparisons with QCD-inspired models and LQCD calculations.
The measurements will span c.m. $\cos\theta$ from -0.95 to 0.95 in c.m. range
above W = 1490MeV and up to 4000 MeV.


title:
Approximation of Continuous-Time Infinite-Horizon Optimal Control
  Problems Arising in Model Predictive Control - Supplementary Notes

abstract:
  These notes present preliminary results regarding two different
approximations of linear infinite-horizon optimal control problems arising in
model predictive control. Input and state trajectories are parametrized with
basis functions and a finite dimensional representation of the dynamics is
obtained via a Galerkin approach. It is shown that the two approximations
provide lower, respectively upper bounds on the optimal cost of the underlying
infinite dimensional optimal control problem. These bounds get tighter as the
number of basis functions is increased. In addition, conditions guaranteeing
convergence to the cost of the underlying problem are provided.


title:
Cosmological constraints on the radiation released during structure
  formation

abstract:
  During the process of structure formation in the universe matter is converted
into radiation through a variety of processes such as light from stars,
infrared radiation from cosmic dust and gravitational waves from binary black
holes/neutron stars and supernova explosions. The production of this
astrophysical radiation background (ARB) could affect the expansion rate of the
universe and the growth of perturbations. Here, we aim at understanding to
which level one can constraint the ARB using future cosmological observations.
We model the energy transfer from matter to radiation through an effective
interaction between matter and astrophysical radiation. Using future supernova
data from LSST and growth-rate data from Euclid we find that the ARB density
parameter is constrained, at the 95% confidence level, to be
$\Omega_{ar_0}<0.008$. Estimates of the energy density produced by well-known
astrophysical processes give roughly $\Omega_{ar_0}\sim 10^{-5}$. Therefore, we
conclude that cosmological observations will only be able to constrain exotic
or not-well understood sources of radiation.


title: On predictability of ultra short AR(1) sequences

abstract:
  This paper addresses short term forecast of ultra short AR(1) sequences (4 to
6 terms only) with a single structural break at an unknown time and of unknown
sign and magnitude. As prediction of autoregressive processes requires
estimated coefficients, the efficiency of which relies on the large sample
properties of the estimator, it is a common perception that prediction is
practically impossible for such short series with structural break. However, we
obtain a heuristic result that some universal predictors represented in the
frequency domain allow certain predictability based on these ultra short
sequences. The predictors that we use are universal in a sense that they are
not oriented on particular types of autoregressions and do not require explicit
modelling of structural break. The shorter the sequence, the better the
one-step-ahead forecast performance of the smoothed predicting kernel. If the
structural break entails a model parameter switch from negative to positive
value, the forecast performance of the smoothed predicting kernel is better
than that of the linear predictor that utilize AR(1) coefficient estimated from
the ultra short sequence without taking the structural break into account
regardless whether the innovation terms in the learning sequences are
constructed from independent and identically distributed random Gaussian or
Gamma variables, scaled pseudo-uniform variables, or first-order
auto-correlated Gaussian process.


title:
Superelastic stress-strain behavior in ferrogels of different types of
  magneto-elastic coupling

abstract:
  Colloidal magnetic particles embedded in an elastic polymer matrix constitute
a smart material called ferrogel. It responds to an applied external magnetic
field by changes in elastic properties, which can be exploited for various
applications like dampers, vibration absorbers, or actuators. Under appropriate
conditions, the stress-strain behavior of a ferrogel can display a fascinating
feature: superelasticity, the capability to reversibly deform by a huge amount
while barely altering the applied load. In a previous work, using numerical
simulations, we investigated this behavior assuming that the magnetic moments
carried by the embedded particles can freely reorient to minimize their
magnetic interaction energy. Here, we extend the analysis to ferrogels where
restoring torques by the surrounding matrix hinder rotations towards a
magnetically favored configuration. For example, the particles can be
chemically cross-linked into the polymer matrix and the magnetic moments can be
fixed to the particle axes. We demonstrate that these systems still feature a
superelastic regime. As before, the nonlinear stress-strain behavior can be
reversibly tailored during operation by external magnetic fields. Yet, the
different coupling of the magnetic moments causes different types of response
to external stimuli. For instance, an external magnetic field applied parallel
to the stretching axis hardly affects the superelastic regime but stiffens the
system beyond it. Other smart materials featuring superelasticity, e.g.
metallic shape-memory alloys, have already found widespread applications. Our
soft polymer systems offer many additional advantages like a typically higher
deformability and enhanced biocompatibility combined with high tunability.


title:
Spontaneous dehydrogenation of methanol over defect-free MgO(100) thin
  film deposited on molybdenum

abstract:
  The dehydrogenation reaction of methanol on metal supported MgO(100) films
has been studied by employing periodic density functional calculations. As far
as we know, the dehydrogenation of single methanol molecule over inert oxide
insulators such as MgO has never been realized before without the introduction
of defects and low coordinated atoms. By depositing the very thin oxide films
on Mo substrate we have successfully obtained the dissociative state of
methanol. The dehydrogenation reaction is energetically exothermic and nearly
barrierless. The metal supported thin oxide films studied here provide a
versatile approach to enhance the activity and properties of oxides.


title: Multi-scale brain networks

abstract:
  The network architecture of the human brain has become a feature of
increasing interest to the neuroscientific community, largely because of its
potential to illuminate human cognition, its variation over development and
aging, and its alteration in disease or injury. Traditional tools and
approaches to study this architecture have largely focused on single scales --
of topology, time, and space. Expanding beyond this narrow view, we focus this
review on pertinent questions and novel methodological advances for the
multi-scale brain. We separate our exposition into content related to
multi-scale topological structure, multi-scale temporal structure, and
multi-scale spatial structure. In each case, we recount empirical evidence for
such structures, survey network-based methodological approaches to reveal these
structures, and outline current frontiers and open questions. Although
predominantly peppered with examples from human neuroimaging, we hope that this
account will offer an accessible guide to any neuroscientist aiming to measure,
characterize, and understand the full richness of the brain's multiscale
network structure -- irrespective of species, imaging modality, or spatial
resolution.


title:
Sovability of the mixed Formulation for Darcy-Forchheimer Flow in Porous
  Media

abstract:
  We consider the mixed formulation of the equations governing
Darcy-Forchheimer flow in porous media. We prove existence and uniqueness of a
solution for the stationary problem and the existence of a solution for the
transient problem.


title: Finite Element Method for a Space-Fractional Anti-Diffusive Equation

abstract:
  The numerical solution of a nonlinear and space-fractional anti-diffusive
equation used to model dune morphodynamics is considered. Spatial
discretization is effected using a finite element method whereas the
Crank-Nicolson scheme is used for temporal discretization. The fully discrete
scheme is analyzed to determine stability condition and also to obtain error
estimates for the approximate solution. Numerical examples are presented to
illustrate convergence results.


title:
Spatio-Colour Aspl\"und 's Metric and Logarithmic Image Processing for
  Colour Images (LIPC)

abstract:
  Aspl\"und 's metric, which is useful for pattern matching, consists in a
double-sided probing, i.e. the over-graph and the sub-graph of a function are
probed jointly. This paper extends the Aspl\"und 's metric we previously
defined for colour and multivariate images using a marginal approach (i.e.
component by component) to the first spatio-colour Aspl\"und 's metric based on
the vectorial colour LIP model (LIPC). LIPC is a non-linear model with
operations between colour images which are consistent with the human visual
system. The defined colour metric is insensitive to lighting variations and a
variant which is robust to noise is used for colour pattern matching.


title:
Asymptotics for the ruin time of a piecewise exponential Markov process
  with jumps

abstract:
  In this paper a class of Ornstein--Uhlenbeck processes driven by compound
Poisson processes is considered. The jumps arrive with exponential waiting
times and are allowed to be two-sided. The jumps are assumed to form an iid
sequence with distribution a mixture (not necessarily convex) of exponential
distributions, independent of everything else. The fact that downward jumps are
allowed makes passage of a given lower level possible both by continuity and by
a jump. The time of this passage and the possible undershoot (in the jump case)
is considered. By finding partial eigenfunctions for the infinitesimal
generator of the process, an expression for the joint Laplace transform of the
passage time and the undershoot can be found.
  From the Laplace transform the ruin probability of ever crossing the level
can be derived. When the drift is negative this probability is less than one
and its asymptotic behaviour when the initial state of the process tends to
infinity is determined explicitly.
  The situation where the level to cross decreases to minus infinity is more
involved: The level to cross plays a much more fundamental role in the
expression for the joint Laplace transform than the initial state of the
process. The limit of the ruin probability in the positive drift case and the
limit of the distribution of the undershoot in the negative drift case is
derived.


title:
QuickPol: Fast calculation of effective beam matrices for CMB
  polarization

abstract:
  Current and planned observations of the cosmic microwave background (CMB)
polarization anisotropies, with their ever increasing number of detectors, have
reached a potential accuracy that requires a very demanding control of
systematic effects. While some of these systematics can be reduced in the
design of the instruments, others will have to be modeled and hopefully
accounted for or corrected a posteriori. We propose QuickPol, a quick and
accurate calculation of the full effective beam transfer function and of
temperature to polarization leakage at the power spectra level, as induced by
beam imperfections and mismatches between detector optical and electronic
responses. All the observation details such as exact scanning strategy,
imperfect polarization measurements, and flagged samples are accounted for. Our
results are validated on Planck high frequency instrument (HFI) simulations. We
show how the pipeline can be used to propagate instrumental uncertainties up to
the final science products, and could be applied to experiments with rotating
half-wave plates.


title: On the edge of the stable range

abstract:
  We prove a general homological stability theorem for certain families of
groups equipped with product maps, followed by two theorems of a new kind that
give information about the last two homology groups outside the stable range.
(These last two unstable groups are the "edge" in our title.) Applying our
results to automorphism groups of free groups yields a new proof of homological
stability with an improved stable range, a description of the last unstable
group up to a single ambiguity, and a lower bound on the rank of the
penultimate unstable group. We give similar applications to the general linear
groups of the integers and of the field of order 2, this time recovering the
known stablility range. The results can also be applied to general linear
groups of arbitrary principal ideal domains, symmetric groups, and braid
groups. Our methods require us to use field coefficients throughout.


title:
Tracking Particles in Flows near Invariant Manifolds via Balance
  Functions

abstract:
  Particles moving inside a fluid near, and interacting with, invariant
manifolds is a common phenomenon in a wide variety of applications. One
elementary question is whether we can determine once a particle has entered a
neighbourhood of an invariant manifold, when it leaves again. Here we approach
this problem mathematically by introducing balance functions, which relate the
entry and exit points of a particle by an integral variational formula. We
define, study, and compare different natural choices for balance functions and
conclude that an efficient compromise is to employ normal infinitesimal
Lyapunov exponents. We apply our results to two different model flows: a
regularized solid-body rotational flow and the asymmetric Kuhlmann--Muldoon
model developed in the context of liquid bridges. Furthermore, we employ full
numerical simulations of the Navier-Stokes equations of a two-way coupled
particle in a shear--stress-driven cavity to test balance functions for a
particle moving near an invariant wall. In conclusion, our
theoretically-developed framework seems to be applicable to models as well as
data to understand particle motion near invariant manifolds.


title: Pomeron - Odderon interactions in a reggeon field theory

abstract:
  In this paper we extend our recent non perturbative functional
renormalization group analysis of Reggeon Field Theory to the interactions of
Pomeron and Odderon fields. We establish the existence of a fixed point and its
universal properties, which exhibits a novel symmetry structure in the space of
Odderon-Pomeron interactions. As in our previous analysis, this part of our
program aims at the investigation of the IR limit of reggeon field theory (the
limit of high energies and large transverse distances). It should be seen in
the broader context of trying to connect the nonperturbative infrared region
(large transverse distances) with the UV region of small transverse distances
where the high energy limit of perturbative QCD applies.


title: Tracing the reionization epoch with ALMA: [CII] emission in z~7 galaxies

abstract:
  We present new results on [CII]158$\mu$ m emission from four galaxies in the
reionization epoch. These galaxies were previously confirmed to be at redshifts
between 6.6 and 7.15 from the presence of the Ly$\alpha$ emission line in their
spectra. The Ly$\alpha$ emission line is redshifted by 100-200 km/s compared to
the systemic redshift given by the [CII] line. These velocity offsets are
smaller than what is observed in z~3 Lyman break galaxies with similar UV
luminosities and emission line properties. Smaller velocity shifts reduce the
visibility of Ly$\alpha$ and hence somewhat alleviate the need for a very
neutral IGM at z~7 to explain the drop in the fraction of Ly$\alpha$ emitters
observed at this epoch.
  The galaxies show [CII] emission with L[CII]=0.6-1.6 x10$^8 L_\odot$: these
luminosities place them consistently below the SFR-L[CII] relation observed for
low redshift star forming and metal poor galaxies and also below z =5.5 Lyman
break galaxies with similar star formation rates. We argue that previous
undetections of [CII] in z~7 galaxies with similar or smaller star formation
rates are due to selection effects: previous targets were mostly strong
Ly$\alpha$ emitters and therefore probably metal poor systems, while our
galaxies are more representative of the general high redshift star forming
population .


title: Gravitational relaxation of electroweak hierarchy problem

abstract:
  In the present paper, we discuss gravitational relaxation scenarios for the
electroweak hierarchy problem. We clearly show that modified gravity theory can
naturally relax the electroweak hierarchy where conformal transformation
provides a crucial information about what modified gravity theories are favored
for the electroweak hierarchy. The conformal transformation connects different
theories and rescaling the metric changes the dimensional parameters like the
Higgs mass or the cosmological constant in different frames drastically. When
the electroweak scale is naturally realized by dynamical and running behavior
of dilatonic scalar field or unknown scaling parameter, the modified gravity
theories could relax the electroweak hierarchy problem. We discuss the
theoretical validity and the phenomenological constraints of the gravitational
relaxation models.


title:
Normalizing and classifying shape indexes of cities by ideas from
  fractals

abstract:
  A standard scientific study comprises two processes: one is to describe a
thing, and the other is to understand how the thing works. In order to
understand the principle of urban growth, a number of shape indexes are
proposed to describe the size and shape of cities. However, the comparability
of a shape index is often influenced by the resolution of remote sensing images
or digital maps because the calculated values depend on spatial measurement
scales. This paper is devoted to exploring the scaling in classical shape
indexes with mathematical methods. Two typical regular fractals, Koch's island
and Vicsek's figure, are employed to illustrate the property of scale
dependence of many shape indexes. A set of formula are derived from the
geometric measure relation to associate fractal dimension for boundary lines
with shape indexes. Based on the ideas of fractals, two main problems are
solved in this work. First, several different correlated shape indexes such as
circularity ratios and compactness ratios are normalized and unified by
substituting Feret's diameter for the major axis of urban figure. Second, three
levels of scaling in shape indexes are revealed, and shape indexes are
classified into three groups. The significance of this study lies in two
aspects. One is helpful for realizing the deep structure of urban form, and the
other is useful for clarifying the spheres of application of different types of
shape indexes.


title:
Stacked search for time shifted high energy neutrinos from gamma ray
  bursts with the ANTARES neutrino telescope

abstract:
  A search for high-energy neutrino emission correlated with gamma-ray bursts
outside the electromagnetic prompt-emission time window is presented. Using a
stacking approach of the time delays between reported gamma-ray burst alerts
and spatially coincident muon-neutrino signatures, data from the Antares
neutrino telescope recorded between 2007 and 2012 are analysed. One year of
public data from the IceCube detector between 2008 and 2009 have been also
investigated. The respective timing profiles are scanned for statistically
significant accumulations within 40 days of the Gamma Ray Burst, as expected
from Lorentz Invariance Violation effects and some astrophysical models. No
significant excess over the expected accidental coincidence rate could be found
in either of the two data sets. The average strength of the neutrino signal is
found to be fainter than one detectable neutrino signal per hundred gamma-ray
bursts in the Antares data at 90% confidence level.


title: Phenomenological aspects of supergravity theories in de Sitter vacua

abstract:
  We introduce an $N=1$ supergravity model based on the gauged shift symmetry
of a single chiral multiplet, which can be identified with the string dilaton
or a compactification modulus. The model allows for a tunably small and
positive value of the cosmological constant. The gravitino mass parameter and
the dilaton Vacuum Expectation Value are separately tunable.
  In a second part we analyze the quantum consistency of these models. Recent
work on anomalies in supergravity theories with Fayet-Iliopoulos terms was
extended, such that their results can be interpreted from a field-theoretic
point of view. We show that for certain values of the parameters the anomaly
cancellation conditions are inconsistent with a TeV gravitino mass.
  In the third part the above model is used as a hidden sector for
supersymmetry breaking. In its minimal version, the model leads to tachyonic
scalar soft masses. This problem can however be circumvented by the
introduction of an extra Pol\'onyi-like hidden sector field, or by allowing for
non-canonical kinetic terms for the Standard Model fields, while maintaining
the desirable features of the model. The resulting low energy spectrum consists
of very light neutralinos, charginos and gluinos, while the squarks remain
heavy, with the exception of the stop squark which can be as light as 2 TeV.
  Finally, we discus possibility that the shift symmetry is identified with
known global symmetries of the MSSM. The particular cases where this global
symmetry is Baryon minus Lepton number ($B-L$), or $3B-L$, which contain the
known R-parity or matter parity of the MSSM, are analyzed in great detail. It
is shown that the phenomenology is similar to the above case where the MSSM
fields are inert, with the exception of the stop squark, which can be as light
as $1.5$ TeV.


title: On the properties of dust and gas in the environs of V838 Monocerotis

abstract:
  Herschel FIR imaging and spectroscopy were taken at several epochs to probe
the central point source and the extended environment of V838 Mon. PACS and
SPIRE maps were used to obtain photometry of the near and far dust around V838
Mon. Fitting reveals 0.5-0.6 solar masses of ~19K dust in the environs (~2.7pc)
surrounding the star. The surface-integrated infrared flux (signifying the
thermal light echo) and derived dust properties do not vary significantly
between the epochs. We also fit the SED of the point source. As the peak of the
SED lies outside the Herschel spectral range, it is only by incorporating data
from other observatories and epochs that we can perform useful fitting; with
this we explicitly assume no evolution of the point source between the epochs.
We find warm dust with a temperature of ~300K distributed over a radius of
150-200AU. PACS and SPIRE spectra were also used to detect emission lines from
the extended environment around the star. We fit the far-infrared lines of CO
arising from the point source, from an extended environment around V838 Mon.
Assuming a model of a spherical shell for this gas, we find that the CO appears
to arise from two temperature zones: a cold zone (Tkin ~18K) that could be
associated with the ISM or possibly with a cold layer in the outermost part of
the shell, and a warm (Tkin ~400K) zone that is associated with the extended
environment of V838 Mon within a region of radius of ~210AU. The SiO lines
arise from a warm/hot zone. We did not fit the lines of H2O as they are far
more dependent on the model assumed.


title:
Dimension of posets with planar cover graphs excluding two long
  incomparable chains

abstract:
  It has been known for more than 40 years that there are posets with planar
cover graphs and arbitrarily large dimension. Recently, Streib and Trotter
proved that such posets must have large height. In fact, all known
constructions of such posets have two large disjoint chains with all points in
one chain incomparable with all points in the other. Gutowski and Krawczyk
conjectured that this feature is necessary. More formally, they conjectured
that for every $k\geq 1$, there is a constant $d$ such that if $P$ is a poset
with a planar cover graph and $P$ excludes $\mathbf{k}+\mathbf{k}$, then
$\dim(P)\leq d$. We settle their conjecture in the affirmative. We also discuss
possibilities of generalizing the result by relaxing the condition that the
cover graph is planar.


title: Snapping Graph Drawings to the Grid Optimally

abstract:
  In geographic information systems and in the production of digital maps for
small devices with restricted computational resources one often wants to round
coordinates to a rougher grid. This removes unnecessary detail and reduces
space consumption as well as computation time. This process is called snapping
to the grid and has been investigated thoroughly from a computational-geometry
perspective. In this paper we investigate the same problem for given drawings
of planar graphs under the restriction that their combinatorial embedding must
be kept and edges are drawn straight-line. We show that the problem is NP-hard
for several objectives and provide an integer linear programming formulation.
Given a plane graph G and a positive integer w, our ILP can also be used to
draw G straight-line on a grid of width w and minimum height (if possible).


title:
Faddeev-Jackiw analysis for the charged compressible fluid in a
  higher-derivative electromagnetic field background

abstract:
  In the present paper we will discuss the Faddeev-Jackiw symplectic approach
in the analysis of a charged compressible fluid immersed in a higher-derivative
electromagnetic field theory. We have obtained the full set of constraints
directly from the zero-mode eigenvectors. Besides, we have computed the Dirac
brackets for the dynamic variables of the compressible fluid. Finally, as a
result of the coupling between the charged compressible fluid and the
electromagnetic field we have calculated two Dirac brackets between the fluid
and electromagnetic fields, which are both zero when there is no coupling
between them.


title:
Investigation of Free Particle Propagator with Generalized Uncertainty
  Problem

abstract:
  We consider the Schrodinger equation with a generalized uncertainty principle
for a free particle. We then transform the problem into a second ordinary
differential equation and thereby obtain the corresponding propagator. The
result of ordinary quantum mechanics is recovered for vanishing minimal length
parameter.


title: Thermodynamic Explanation for the Cosmic Ubiquity of Organic Pigments

abstract:
  There is increasingly more evidence being accumulated for the occurrence of
large amounts of organic material in the cosmos, particularly in the form of
aromatic compounds. These molecules can be found on the surface of Earth and
Mars, in the atmospheres of the larger planets and on many of their satellites,
on asteroids, comets, meteorites, the atmospheres of red giant stars,
interstellar nebulae, and in the spiral arms of galaxies. Many of these
environments are expected to be of low temperature and pressure, implying that
the Gibbs free energy for the formation of these complex molecules should be
positive and large, suggesting that their existence could only be attributed to
non-equilibrium thermodynamic processes. In this article we first review the
evidence for the abundance of these molecules in the cosmos and then describe
how the ubiquity can be explained from within the framework of non-equilibrium
thermodynamics on the basis of the catalytic properties of these pigment
molecules in dissipating photons of the ultraviolet and visible emission
spectra of neighboring stars, leading to greater local entropy production. A
relation between the maximum wavelength of absorption of these organic pigments
and the corresponding stellar photon environment, provides a guide to
determining which aromatic compounds are most probable in a given stellar
neighborhood, a postulate that can be verified on Earth. It is suggested that
at least some of the baryonic dark matter may be associated with these
molecules which emit in the extreme infrared with many, but weak, emission
lines, thus so far escaping detection. This thermodynamic explanation for the
ubiquity of these organic molecules also has relevance to the possibility of
life, both as we know it, and as we may not know it, throughout the universe.


title: Postinflationary vacuum instability and Higgs-inflaton couplings

abstract:
  The Higgs-inflaton coupling plays an important role in the Higgs field
dynamics in the early Universe. Even a tiny coupling generated at loop level
can have a dramatic effect on the fate of the electroweak vacuum. Such
Higgs-inflaton interaction is present both at the trilinear and quartic levels
in realistic reheating models. In this work, we examine the Higgs dynamics
during the preheating epoch, focusing on the effects of the parametric and
tachyonic resonances. We use lattice simulations and other numerical tools in
our studies. We find that the resonances can induce large fluctuations of the
Higgs field which destabilize the electroweak vacuum. Our considerations thus
provide an upper bound on quartic and trilinear interactions between the Higgs
and the inflaton. We conclude that there exists a favourable range of the
couplings within which the Higgs field is stabilized during both inflation and
preheating epochs.


title: Study of MRI in stratified viscous plasma configuration

abstract:
  We analyze the morphology of the Magneto-rotational Instability (MRI) for a
stratified viscous plasma disk configuration in differential rotation, taking
into account the so-called corotation theorem for the background profile. In
order to select the intrinsic Alfv\'enic nature of MRI, we deal with an
incompressible plasma and we adopt a formulation of the local perturbation
analysis based on the use of the magnetic flux function as a dynamical
variable. Our study outlines, as consequence of the corotation condition, a
marked asymmetry of the MRI with respect to the equatorial plane, particularly
evident in a complete damping of the instability over a positive critical
height on the equatorial plane. We also emphasize how such a feature is already
present (although less pronounced) even in the ideal case, restoring a
dependence of the MRI on the stratified morphology of the gravitational field.


title: Integral geometry of Euler equations

abstract:
  We develop an integral geometry of stationary Euler equations defining some
function $w$ on the Grassmannian of affine lines in the space. This function
depends on a putative compactly supported solution $v$ of the system, and we
deduce a linear differential equation for $w$. We prove also that the purported
annulation of $w$ implies that locally supported solutions of the steady Euler
equation in $\mathbb R^3$ are zero.


title:
Efficient Two-Stream Motion and Appearance 3D CNNs for Video
  Classification

abstract:
  The video and action classification have extremely evolved by deep neural
networks specially with two stream CNN using RGB and optical flow as inputs and
they present outstanding performance in terms of video analysis. One of the
shortcoming of these methods is handling motion information extraction which is
done out side of the CNNs and relatively time consuming also on GPUs. So
proposing end-to-end methods which are exploring to learn motion
representation, like 3D-CNN can achieve faster and accurate performance. We
present some novel deep CNNs using 3D architecture to model actions and motion
representation in an efficient way to be accurate and also as fast as
real-time. Our new networks learn distinctive models to combine deep motion
features into appearance model via learning optical flow features inside the
network.


title:
A Mathematical Framework for Feature Selection from Real-World Data with
  Non-Linear Observations

abstract:
  In this paper, we study the challenge of feature selection based on a
relatively small collection of sample pairs $\{(x_i, y_i)\}_{1 \leq i \leq m}$.
The observations $y_i \in \mathbb{R}$ are thereby supposed to follow a noisy
single-index model, depending on a certain set of signal variables. A major
difficulty is that these variables usually cannot be observed directly, but
rather arise as hidden factors in the actual data vectors $x_i \in
\mathbb{R}^d$ (feature variables). We will prove that a successful variable
selection is still possible in this setup, even when the applied estimator does
not have any knowledge of the underlying model parameters and only takes the
'raw' samples $\{(x_i, y_i)\}_{1 \leq i \leq m}$ as input. The model
assumptions of our results will be fairly general, allowing for non-linear
observations, arbitrary convex signal structures as well as strictly convex
loss functions. This is particularly appealing for practical purposes, since in
many applications, already standard methods, e.g., the Lasso or logistic
regression, yield surprisingly good outcomes. Apart from a general discussion
of the practical scope of our theoretical findings, we will also derive a
rigorous guarantee for a specific real-world problem, namely sparse feature
extraction from (proteomics-based) mass spectrometry data.


title: Estimating sizes of faint, distant galaxies in the submillimetre regime

abstract:
  We measure the sizes of redshift ~2 star-forming galaxies by stacking data
from the Atacama Large Millimeter/submillimeter Array (ALMA). We use a
uv-stacking algorithm in combination with model fitting in the uv-domain and
show that this allows for robust measures of the sizes of marginally resolved
sources. The analysis is primarily based on the 344 GHz ALMA continuum
observations centred on 88 sub-millimeter galaxies in the LABOCA ECDFS
Submillimeter Survey (ALESS). We study several samples of galaxies at z~2 with
$M_* \sim{} 5\times{}10^{10} $ M$_\odot$ , selected using near-infrared
photometry (distant red galaxies, extremely red objects, sBzK-galaxies, and
galaxies selected on photometric redshift).
  We find that the typical sizes of these galaxies are ~0.6 arcsec which
corresponds to ~5 kpc at z~2, this agrees well with the median sizes measured
in the near-infrared z-band (~0.6 arcsec). We find errors on our size estimates
of ~0.1-0.2 arcsec, which agree well with the expected errors for model fitting
at the given signal-to-noise ratio. With the uv-coverage of our observations
(18-160 m), the size and flux density measurements are sensitive to scales out
to 2 . We compare this to a simulated ALMA Cycle 3 dataset with intermediate
length baseline coverage, and we find that, using only these baselines, the
measured stacked flux density would be an order of magnitude fainter. This
highlights the importance of short baselines to recover the full flux density
of high-redshift galaxies.


title: A genus-4 topological recursion relation for Gromov-Witten invariants

abstract:
  In this paper, we give a new genus-4 topological recursion relation for
Gromov-Witten invariants of compact symplectic manifolds via Pixton's relations
on the moduli space of curves. As an application, we prove Pixton's relations
imply a known topological recursion relation on $\bar{\mathcal{M}}_{g,1}$ for
genus $g\leq4$.


title: Motivic and Real Etale Stable Homotopy Theory

abstract:
  Let X be a Noetherian scheme of finite dimension and denote by rho the
(additive inverse of the) morphism in SH(X) from S to Gm corresponding to the
unit -1. Here SH(X) denotes the motivic stable homotopy category. We show that
the category obtained by inverting rho in SH(X) is canonically equivalent to
the (simplicial) local stable homotopy category of the site X_ret, by which we
mean the small real etale site of X, comprised of etale schemes over X with the
real etale topology.
  One immediate application is that SH(RR)[rho^-1] is equivalent to the
classical stable homotopy category. In particular this computes all the stable
homotopy sheaves of the rho-local sphere (over RR). As further applications we
improve a result of Ananyevskiy-Levine-Panin, reprove a vanishing result of
Roendigs and establish some new rigidity results.


title: Substrate-induced reduction of graphene thermal conductivity

abstract:
  We develop the theory of heat conductivity in supported graphene, accounting
for coherent phonon scattering on disorder induced by an amorphous substrate.
We derive spectra for in-plane and out-of-plane phonons in the framework of
Green's function approach. The energetic parameters of the theory are obtained
using the molecular dynamics simulations for graphene on SiO$_2$ substrate. The
heat conductivity is calculated by the Boltzmann transport equation. We find
that the interaction with the substrate drastically reduces the phonon lifetime
and completely suppresses the contribution of ZA phonons to the heat
conductivity. As a result, the total heat conductivity is reduced by several
times, which matches with the tendency observed for available experimental
data. The considered effect is important for managing thermal properties of the
graphene-based electronic devices.


title:
Teleparallel equivalent of general relativity and local Lorentz
  transformation: Revisited

abstract:
  It is well known that the field equations of teleparallel theory which is
equivalent to general relativity (TEGR) completely agree with the field
equation of general relativity (GR). However, TEGR has six extra degrees of
freedom which spoil the true physics. These extra degrees are related to the
local Lorentz transformation. In this study, we give three different tetrads of
flat horizon space-time that depend only on the radial coordinate. One of these
tetrads contains an arbitrary function which comes from local Lorentz
transformation. We show by explicate calculations that this arbitrary function
spoils the calculations of the conserved charges. We formulate {\it a
skew-symmetric tensor} whose vanishing value put a constraint on the arbitrary
function. This constraint makes the conserved charges are free from the
arbitrary function.


title:
Probing phase of a scattering amplitude beyond the plane-wave
  approximation

abstract:
  Within a plane-wave approach, a number of scattering events in a collision is
insensitive to a general phase of a transition amplitude, although this phase
is extremely important for a number of problems, especially in hadronic
physics. In reality the particles are better described as wave packets, and
here we show that the observables grow dependent upon this phase if one lays
aside the simplified plane-wave model. We discuss two methods for probing how
the Coulomb- and hadronic phases change with a transferred momentum $t$, either
by colliding two beams at a non-vanishing impact-parameter or by employing such
novel states as the vortex particles carrying orbital angular momentum or the
Airy beams. For electron-electron collision, the phase contribution to a cross
section can reach the values higher than $10^{-4} -- 10^{-3}$ for well-focused
beams with energies of hundreds of keV.


title: Paradoxical examples of social networks games with product choice

abstract:
  Paradox of choice occurs when permitting new strategies to some players
yields lower payoffs for all players in the new equilibrium via a sequence of
individually rational actions. We consider social network games. In these games
the payoff of each player increases when other players choose the same
strategy. The definition of games on social networks was introduced by K. Apt
and S. Simon. In an article written jointly with E. Markakis, they considered
four types of paradox of choice in such games and gave examples of three of
them. The existence of paradoxical networks of the fourth type was proven only
in a weakened form. The existence of so-called vulnerable networks in the
strong sense remained an open question. In the present paper we solve this open
question by introducing a construction, called a cascade, and use it to provide
uniform examples for all four definitions of paradoxical networks.


title: The RINGO2 and DIPOL Optical Polarisation Catalogue of Blazars

abstract:
  We present ~2000 polarimetric and ~3000 photometric observations of 15
gamma-ray bright blazars over a period of 936 days (11/10/2008 - 26/10/2012)
using data from the Tuorla blazar monitoring program (KVA DIPOL) and Liverpool
Telescope (LT) RINGO2 polarimeters (supplemented with data from SkyCamZ (LT)
and Fermi-LAT gamma-ray data). In 11 out of 15 sources we identify a total of
19 electric vector position angle (EVPA) rotations and 95 flaring episodes. We
group the sources into subclasses based on their broadband spectral
characteristics and compare their observed optical and gamma-ray properties. We
find that (1) the optical magnitude and gamma-ray flux are positively
correlated, (2) EVPA rotations can occur in any blazar subclass, 4 sources show
rotations that go in one direction and immediately rotate back, (3) we see no
difference in the gamma-ray flaring rates in the sample; flares can occur
during and outside of rotations with no preference for this behaviour, (4) the
average degree of polarisation (DoP), optical magnitude and gamma-ray flux are
lower during an EVPA rotation compared with during non-rotation and the
distribution of the DoP during EVPA rotations is not drawn from the same parent
sample as the distribution outside rotations, (5) the number of observed
flaring events and optical polarisation rotations are correlated, however we
find no strong evidence for a temporal association between individual flares
and rotations and (6) the maximum observed DoP increases from ~10% to ~30% to
~40% for subclasses with synchrotron peaks at high, intermediate and low
frequencies respectively.


title:
Maximal monotonicity of the subdifferential of a convex function: a
  direct proof

abstract:
  We provide a new proof for maximal monotonicity of the subdifferential of a
convex function.


title:
Towards generating a new supernova equation of state: A systematic
  analysis of cold hybrid stars

abstract:
  The hadron-quark phase transition in core-collapse supernovae (CCSNe) has the
potential to trigger explosions in otherwise nonexploding models. However,
those hybrid supernova equations of state (EOS) shown to trigger an explosion
do not support the observational 2 M$_\odot$ neutron star maximum mass
constraint. In this work, we analyze cold hybrid stars by the means of a
systematic parameter scan for the phase transition properties, with the aim to
develop a new hybrid supernova EOS. The hadronic phase is described with the
state-of-the-art supernova EOS HS(DD2), and quark matter by an EOS with a
constant speed of sound (CSS) of $c_{QM}^2=1/3$. We find promising cases which
meet the 2 M$_\odot$ criterion and are interesting for CCSN explosions. We show
that the very simple CSS EOS is transferable into the well-known thermodynamic
bag model, important for future application in CCSN simulations. In the second
part, the occurrence of reconfinement and multiple phase transitions is
discussed. In the last part, the influence of hyperons in our parameter scan is
studied. Including hyperons no change in the general behavior is found, except
for overall lower maximum masses. In both cases (with and without hyperons) we
find that quark matter with $c_{QM}^2=1/3$ can increase the maximum mass only
if reconfinement is suppressed or if quark matter is absolutely stable.


title: From Schwinger Balls to Curved Space

abstract:
  It is shown that the Reissner-Nordstrom black hole is also a gravitational
Schwinger ball. It is also shown that both massless and massive-particle
gravitational Schwinger balls are thermodynamic systems by deriving the first
law of thermodynamics for them. Inconsistency between classical geometrical and
microscopic definitions of the horizon is discussed. We propose a new metric,
more consistent with microscopic picture of black hole, as gravitational
Schwinger ball, by speculations. It has some interesting features.


title: Energy momentum tensor in the nonsymmetric gravity

abstract:
  General relativity is the theory with unclear energy momentum tensor. An
approach is considered, allowing to construct the energy momentum tensor for
relativity with nonsymmetric metric. A consequence of the approach is confirmed
in the nuclear physics.


title: Time dependent electromagnetic fields and 4-dimensional Stokes' theorem

abstract:
  Stokes' theorem is central to many aspects of physics -- electromagnetism,
the Aharonov-Bohm effect, and Wilson loops to name a few. However, the
pedagogical examples and research work almost exclusively focus on situations
where the fields are time-independent so that one need only deal with purely
spatial line integrals ({\it e.g.} $\oint {\bf A} \cdot d{\bf x}$) and purely
spatial area integrals ({\it e.g.} $\int (\nabla \times {\bf A}) \cdot d{\bf a}
= \int {\bf B} \cdot d{\bf a}$). Here we address this gap by giving some
explicit examples of how Stokes' theorem plays out with time-dependent fields
in a full 4-dimensional spacetime context. We also discuss some unusual
features of Stokes' theorem with time-dependent fields related to gauge
transformations and non-simply connected topology.


title: Plane trees, Shabat-Zapponi polynomials and Julia sets

abstract:
  A tree, embedded into plane, is a dessin d'enfant and its Belyi function is a
polynomial --- Shabat polynomial. The Zapponi form of this polynomial is
unique, so we can correspond to an embedded tree the Julia set of its
Shabat-Zapponi polynomial. In this purely experimental work we study relations
between the form of a tree and properties (form, connectedness, Hausdorff
dimension) of its Julia set.


title: Stagnation of electron flow by a nonlinearly generated whistler wave

abstract:
  Relativistic electron beam transport through a high-density, magnetized
plasma is studied numerically and theoretically. An electron beam injected into
a cold plasma excites Weibel and two-stream instabilities that heat the beam
and saturate. In the absence of an applied magnetic field, the heated beam
continues to propagate. However, when a magnetic field of particular strength
is applied along the direction of beam propagation, a secondary instability of
off-angle whistler modes is excited. These modes then couple nonlinearly
creating a large amplitude parallel propagating whistler that stops the beam.
In this letter, we will show the phenomena in detail and explain the mechanism
of whistler mediated beam stagnation.


title:
Demographic Dialectal Variation in Social Media: A Case Study of
  African-American English

abstract:
  Though dialectal language is increasingly abundant on social media, few
resources exist for developing NLP tools to handle such language. We conduct a
case study of dialectal language in online conversational text by investigating
African-American English (AAE) on Twitter. We propose a distantly supervised
model to identify AAE-like language from demographics associated with
geo-located messages, and we verify that this language follows well-known AAE
linguistic phenomena. In addition, we analyze the quality of existing language
identification and dependency parsing tools on AAE-like text, demonstrating
that they perform poorly on such text compared to text associated with white
speakers. We also provide an ensemble classifier for language identification
which eliminates this disparity and release a new corpus of tweets containing
AAE-like language.


title: Ultimate precision in cosmic-ray radio detection --- the SKA

abstract:
  As of 2023, the low-frequency part of the Square Kilometre Array will go
online in Australia. It will constitute the largest and most powerful
low-frequency radio-astronomical observatory to date, and will facilitate a
rich science programme in astronomy and astrophysics. With modest engineering
changes, it will also be able to measure cosmic rays via the radio emission
from extensive air showers. The extreme antenna density and the homogeneous
coverage provided by more than 60,000 antennas within an area of one km$^2$
will push radio detection of cosmic rays in the energy range around 10$^{17}$
eV to ultimate precision, with superior capabilities in the reconstruction of
arrival direction, energy, and an expected depth-of-shower-maximum resolution
of 6~g/cm${^2}$.


title:
Observation of Bloch oscillations in complex PT-symmetric photonic
  lattices

abstract:
  Light propagation in periodic environments is often associated with a number
of interesting and potentially useful processes. If a crystalline optical
potential is also linearly ramped, light can undergo periodic Bloch
oscillations, a direct outcome of localized Wannier-Stark states and their
equidistant eigenvalue spectrum. Even though these effects have been
extensively explored in conservative settings, this is by no means the case in
non-Hermitian photonic lattices encompassing both amplification and
attenuation. Quite recently, Bloch oscillations have been predicted in
parity-time-symmetric structures involving gain and loss in a balanced fashion.
While in a complex bulk medium, one intuitively expects that light will
typically follow the path of highest amplification, in a periodic system this
behavior can be substantially altered by the underlying band structure. Here,
we report the first experimental observation of Bloch oscillations in
parity-time-symmetric mesh lattices. We show that these revivals exhibit
unusual properties like secondary emissions and resonant restoration of PT
symmetry. In addition, we present a versatile method for reconstructing the
real and imaginary components of the band structure by directly monitoring the
light evolution during a cycle of these oscillations.


title:
Learning Dominant Wave Directions For Plane Wave Methods For
  High-Frequency Helmholtz Equations

abstract:
  We present a ray-based finite element method (ray-FEM) by learning basis
adaptive to the underlying high-frequency Helmholtz equation in smooth media.
Based on the geometric optics ansatz of the wave field, we learn local dominant
ray directions by probing the medium using low-frequency waves with the same
source. Once local ray directions are extracted, they are incorporated into the
finite element basis to solve the high-frequency Helmholtz equation. This
process can be continued to further improve approximations for both local ray
directions and the high frequency wave field iteratively. The method requires a
fixed number of grid points per wavelength to represent the wave field and
achieves an asymptotic convergence as the frequency $\omega\rightarrow \infty$
without the pollution effect. A fast solver is developed for the resulting
linear system with an empirical complexity $\mathcal{O}(\omega^d)$ up to a
poly-logarithmic factor. Numerical examples in 2D are presented to corroborate
the claims.


title:
Global well-posedness and twist-wave solutions for the inertial
  Qian-Sheng model of liquid crystals

abstract:
  We consider the inertial Qian-Sheng model of liquid crystals which couples a
hyperbolic-type equation involving a second-order material derivative with a
forced incompressible Navier-Stokes system. We study the energy law and prove a
global well-posedness result. We further provide an example of twist-wave
solutions, that is solutions of the coupled system for which the flow vanishes
for all times.


title: Better-Than-Chance Classification for Signal Detection

abstract:
  The estimated accuracy of a classifier is a random quantity with variability.
A common practice in supervised machine learning, is thus to test if the
estimated accuracy is significantly better than chance level. This method of
signal detection is particularly popular in neuroimaging and genetics. We
provide evidence that using a classifier's accuracy as a test statistic can be
an underpowered strategy for finding differences between populations, compared
to a bona-fide statistical test. It is also computationally more demanding than
a statistical test. Via simulation, we compare test statistics that are based
on classification accuracy, to others based on multivariate test statistics. We
find that probability of detecting differences between two distributions is
lower for accuracy based statistics. We examine several candidate causes for
the low power of accuracy tests. These causes include: the discrete nature of
the accuracy test statistic, the type of signal accuracy tests are designed to
detect, their inefficient use of the data, and their regularization. When the
purposes of the analysis is not signal detection, but rather, the evaluation of
a particular classifier, we suggest several improvements to increase power. In
particular, to replace V-fold cross validation with the Leave-One-Out
Bootstrap.


title: Indefinite Theta Series on Cones

abstract:
  We show that indefinite theta series on cones converge and provide an
explicit modular completion. Our completion rests on a convolution of the
Gaussian with a piecewise constant function supported on the cone. Our main
innovation is to formulate this convolution in terms of euclidean geometry as
opposed to hyperbolic geometry. This change of perspective allows us to
establish essential asymptotic estimates without further difficulty.


title: On doubly twisted product immersions

abstract:
  Some basic geometric properties of doubly twisted product immersions are
established.


title:
Strong solutions to the Cauchy problem of the two-dimensional
  compressible Navier-Stokes-Smoluchowski equations with vacuum

abstract:
  This paper studies the local existence of strong solutions to the Cauchy
problem of the 2D fluid-particle interaction model with vacuum as far field
density. Notice that the technique used by Ding et al.\cite{SBH} for the
corresponding 3D local well-posedness of strong solutions fails treating the 2D
case, because the $L^p$-norm ($p>2$) of the velocity $u$ cannot be controlled
in terms only of $\sqrt{\rho}u$ and $\nabla u$ here. In the present paper, we
will use the framework of weighted approximation estimates introduced in [J.
Li, Z. Liang, On classical solutions to the Cauchy problem of the
two-dimensional barotropic compressible Navier-Stokes equations with vacuum, J.
Math. Pures Appl. (2014) 640--671] for Navier-Stokes equations to obtain the
local existence of strong solutions provided the initial density and density of
particles in the mixture do not decay very slowly at infinity. In particular,
the initial density can have a compact support. This paper extends Fang et
al.'s result \cite{DRZ} and Ding et al.'s result \cite{SBH}, in which, the
existence is obtained when the space dimension $N=1$ and $N=3$ respectively.


title:
Quantum Tunneling Enhancement of the C + H2O and C + D2O Reactions at
  Low Temperature

abstract:
  Recent studies of neutral gas-phase reactions characterized by barriers show
that certain complex forming processes involving light atoms are enhanced by
quantum mechanical tunneling at low temperature. Here, we performed kinetic
experiments on the activated C(3P) + H2O reaction, observing a surprising
reactivity increase below 100 K, an effect which is only partially reproduced
when water is replaced by its deuterated analogue. Product measurements of H-
and D-atom formation allowed us to quantify the contribution of complex
stabilization to the total rate while confirming the lower tunneling efficiency
of deuterium. This result, which is validated through statistical calculations
of the intermediate complexes and transition states has important consequences
for simulated interstellar water abundances and suggests that tunneling
mechanisms could be ubiquitous in cold dense clouds.


title:
Facial Surface Analysis using Iso-Geodesic Curves in Three Dimensional
  Face Recognition System

abstract:
  In this paper, we present an automatic 3D face recognition system. This
system is based on the representation of human faces surfaces as collections of
Iso-Geodesic Curves (IGC) using 3D Fast Marching algorithm. To compare two
facial surfaces, we compute a geodesic distance between a pair of facial curves
using a Riemannian geometry. In the classifying step, we use: Neural Networks
(NN), K-Nearest Neighbor (KNN) and Support Vector Machines (SVM). To test this
method and evaluate its performance, a simulation series of experiments were
performed on 3D Shape REtrieval Contest 2008 database (SHREC2008).


title:
Minicharged particles search by strong laser pulse-induced vacuum
  polarization effects

abstract:
  Laser-based searches of the yet unobserved vacuum birefringence might be
sensitive for very light hypothetical particles carrying a tiny fraction of the
electron charge. We show that, with the help of contemporary techniques,
polarimetric investigations driven by an optical laser pulse of moderate
intensity might allow for excluding regions of the parameter space of these
particle candidates which have not been discarded so far by laboratory
measurement data. Particular attention is paid to the role of a Gaussian wave
profile. It is argued that, at energy regimes in which the vacuum becomes
dichroic due to these minicharges, the transmission probability of a probe beam
through an analyzer set crossed to the initial polarization direction will
depend on both the induced ellipticity as well as the rotation of the initial
polarization plane. The weak and strong field regimes, relative to the
attributes of these minicharged particles, and the relevance of the
polarization of the strong field are investigated.


title: Timing of Five PALFA-Discovered Millisecond Pulsars

abstract:
  We report the discovery and timing results for five millisecond pulsars
(MSPs) from the Arecibo PALFA survey: PSRs J1906+0055, J1914+0659, J1933+1726,
J1938+2516, and J1957+2516. Timing observations of the 5 pulsars were conducted
with the Arecibo and Lovell telescopes for time spans ranging from 1.5 to 3.3
yr. All of the MSPs except one (PSR J1914+0659) are in binary systems with low
eccentricities. PSR J1957+2516 is likely a redback pulsar, with a ~0.1
$M_\odot$ companion and possible eclipses that last ~10% of the orbit. The
position of PSR J1957+2516 is also coincident with a NIR source. All 5 MSPs are
distant (>3.1 kpc) as determined from their dispersion measures, and none of
them show evidence of $\gamma$-ray pulsations in a search of Fermi Gamma-Ray
Space Telescope data. These 5 MSPs bring the total number of MSPs discovered by
the PALFA survey to 26 and further demonstrate the power of this survey in
finding distant, highly dispersed MSPs deep in the Galactic plane.


title: The Crab Pulsar at Centimeter Wavelengths II: Single Pulses

abstract:
  We have carried out new, high-frequency, high-time-resolution observations of
the Crab pulsar. Combining these with our previous data, we characterize bright
single pulses associated with the Main Pulse, both the Low-Frequency and
High-Frequency Interpulses, and the two High-Frequency Components. Our data
include observations at frequencies ranging from 1 to 43 GHz with time
resolution down to a fraction of a nanosecond. We find at least two types of
emission physics are operating in this pulsar. Both Main Pulses and
Low-Frequency Interpulses, up to about 10 GHz, are characterized by nanoshot
emission - overlapping clumps of narrow-band nanoshots, each with its own
polarization signature. High-Frequency Interpulses, between 5 and 30 GHz, are
characterized by spectral band emission - linearly polarized emission
containing about 30 proportionately spaced spectral bands. We cannot say
whether the longer-duration High-Frequency Component pulses are due to a
scattering process, or if they come from yet another type of emission physics.


title: On the direct summand conjecture and its derived variant

abstract:
  Andr\'e recently gave a beautiful proof of Hochster's direct summand
conjecture in commutative algebra using perfectoid spaces; his two main results
are a generalization of the almost purity theorem (the perfectoid Abhyankar
lemma) and a construction of certain faithfully flat extensions of perfectoid
algebras where "discriminants" acquire all $p$-power roots.
  In this paper, we explain a quicker proof of Hochster's conjecture that
circumvents the perfectoid Abhyankar lemma; instead, we prove and use a
quantitative form of Scholze's Hebbarkeitssatz (the Riemann extension theorem)
for perfectoid spaces. The same idea also leads to a proof of a derived variant
of the direct summand conjecture put forth by de Jong.


title: A first-order primal-dual algorithm with linesearch

abstract:
  The paper proposes a linesearch for a primal-dual method. Each iteration of
the linesearch requires to update only the dual (or primal) variable. For many
problems, in particular for regularized least squares, the linesearch does not
require any additional matrix-vector multiplications. We prove convergence of
the proposed method under standard assumptions. We also show an ergodic
$O(1/N)$ rate of convergence for our method. In case one or both of the
prox-functions are strongly convex, we modify our basic method to get a better
convergence rate. Finally, we propose a linesearch for a saddle point problem
with an additional smooth term. Several numerical experiments confirm the
efficiency of our proposed methods.


title: Very Bright Prompt and Reverse Shock Emission of GRB 140512A

abstract:
  We report our observations of very bright prompt optical and reverse shock
(RS) optical emission of GRB 140512A and analyze its multi-wavelength data
observed with the {\em Swift} and {\em Fermi} missions. It is found that the
joint optical-X-ray-gamma-ray spectrum with our first optical detection
(R=13.09 mag) at $T_0+136$ seconds during the second episode of the prompt
gamma-rays can be fit by a single power-law with index $-1.32\pm 0.01$. Our
empirical fit to the afterglow lightcurves indicates that the observed bright
optical afterglow with R=13.00 mag at the peak time is consistent with
predictions of the RS and forward shock (FS) emission of external shock models.
Joint optical-X-ray afterglow spectrum is well fit with an absorbed single
power-law, with an index evolving with time from $-1.86\pm 0.01$ at the peak
time to $-1.57\pm 0.01$ at late epoch, which could be due to the evolution of
the ratio of the RS to FS emission fluxes. We fit the lightcurves with standard
external models, and derive the physical properties of the outflow. It is found
that the ratio $R_B\equiv\epsilon_{\rm B, r}/\epsilon_{\rm B, f}$ is 8187,
indicating a high magnetization degree in the RS region. Measuring the relative
radiation efficiency with $R_e\equiv\epsilon_{\rm e, r}/\epsilon_{\rm e, f}$,
we have $R_e= 0.02$, implying the radiation efficiency of the RS is much lower
than that in FS. We also show that the $R_B$ of GRBs 990123, 090102, and
130427A are similar to that of GRB 140512A and their apparent difference may be
mainly attributed to the difference of the jet kinetic energy, initial Lorentz
factor, and medium density among them.


title:
Synthesis of optimal controls and numerical optimization for the
  vibration-based energy harvesters

abstract:
  This work is devoted to demonstration of the analysis on optimizing the
output power harvested from vibration energy harvester.


title: Poisson Brackets in Kontsevich's "Lie World"

abstract:
  In this note the notion of Poisson brackets in Kontsevich's "Lie World" is
developed. These brackets can be thought of as "universally" defined classical
Poisson structures, namely formal expressions only involving the structure maps
of a quadratic Lie algebra. We prove a uniqueness statement about these Poisson
brackets with a given moment map. As an application we get formulae for the
linearization of the quasi-Poisson structure of the moduli space of flat
connections on a punctured sphere, and thereby identify their symplectic leaves
with the reduction of coadjoint orbits. Equivalently, we get linearizations for
the Goldman double Poisson bracket, our definition of Poisson brackets
coincides with that of Van Den Bergh in this case. This can furthermore be
interpreted as giving a monoidal equivalence between Hamiltonian quasi-Poisson
spaces and Hamiltonian spaces.


title: Exact rates of convergence in some martingale central limit theorems

abstract:
  Renz (1996), Ouchti(2005), El Machkouri and Ouchti (2007) and Mourrat (2013)
have established the bounds on the rate of convergence in the central limit
theorem for discrete time martingales. In the present paper a modification of
the methods, developed by Bolthausen (1982) and Grama and Haeusler (2000), is
applied for obtaining exact rates of convergence in the central limit theorem
for martingales with differences having conditional moments of order $2+\rho,
\rho>0$. Our results significantly improve and generalise the bounds of Renz
(1996), Ouchti(2005), El Machkouri and Ouchti (2007) and Mourrat (2013). Our
results generalise and strengthen the bounds mentioned above. An application to
Lipschitz functionals of independent random variables is also given.


title:
Spin polarization ratios of resistivity and density of states estimated
  from anisotropic magnetoresistance ratio for nearly half-metallic
  ferromagnets

abstract:
  We derive a simple relational expression between the spin polarization ratio
of resistivity, $P_\rho$, and the anisotropic magnetoresistance ratio $\Delta
\rho/\rho$, and that between the spin polarization ratio of the density of
states at the Fermi energy, $P_{\rm DOS}$, and $\Delta \rho/\rho$ for nearly
half-metallic ferromagnets. We find that $P_\rho$ and $P_{\rm DOS}$ increase
with increasing $|\Delta \rho/\rho|$ from 0 to a maximum value. In addition, we
roughly estimate $P_\rho$ and $P_{\rm DOS}$ for a Co$_2$FeGa$_{0.5}$Ge$_{0.5}$
Heusler alloy by substituting its experimentally observed $\Delta \rho/\rho$
into the respective expressions.


title:
Interaction effects in a multi-channel Fabry-P\'erot interferometer in
  the Aharonov-Bohm regime

abstract:
  We investigate a Fabry-P\'erot interferometer in the integer Hall regime in
which only one edge channel is transmitted and n channels are trapped into the
interferometer loop. Addressing recent experimental observations, we assume
that Coulomb blockade effects are completely suppressed due to screening, while
keeping track of a residual strong short range electron-electron interaction
between the co-propagating edge channels trapped into the interferometer loop.
This kind of interaction can be completely described in the framework of the
edge-magnetoplasmon scattering matrix theory allowing us to evaluate the
backscattering current and the associated differential conductance as a
function of the bias voltage. The remarkable features of these quantities are
discussed as a function of the number of trapped channels. The developed
formalism reveals very general and provides also a simple way to model the
experimentally relevant geometry in which some of the trapped channels are
absorbed into an Ohmic contact, leading to energy dissipation.


abstract:
  The quasi-homogeneous (and in general non-homogeneous) polynomial
differential systems have been studied from many different points of view. In
this paper, Center-focus determination and limit cycles bifurcation for $p:q$
homogeneous weight singular point are investigated. Some prosperities of
Successive function and focus values are discussed, furthermore, the method of
computing focal values is given. As an example, center-focus determination and
limit cycle bifurcation for $2:3$ homogeneous weight singular point are
studied, three or five limit cycles in the neighborhood of origin can be
obtained by different perturbations.


title:
Silicon-Based Antenna-Coupled Polarization-Sensitive Millimeter-Wave
  Bolometer Arrays for Cosmic Microwave Background Instruments

abstract:
  We describe feedhorn-coupled polarization-sensitive detector arrays that
utilize monocrystalline silicon as the dielectric substrate material.
Monocrystalline silicon has a low-loss tangent and repeatable dielectric
constant, characteristics that are critical for realizing efficient and uniform
superconducting microwave circuits. An additional advantage of this material is
its low specific heat. In a detector pixel, two Transition-Edge Sensor (TES)
bolometers are antenna-coupled to in-band radiation via a symmetric planar
orthomode transducer (OMT). Each orthogonal linear polarization is coupled to a
separate superconducting microstrip transmission line circuit. On-chip
filtering is employed to both reject out-of-band radiation from the upper band
edge to the gap frequency of the niobium superconductor, and to flexibly define
the bandwidth for each TES to meet the requirements of the application. The
microwave circuit is compatible with multi-chroic operation. Metalized silicon
platelets are used to define the backshort for the waveguide probes. This
micro-machined structure is also used to mitigate the coupling of out-of-band
radiation to the microwave circuit. At 40 GHz, the detectors have a measured
efficiency of 90%. In this paper, we describe the development of the 90 GHz
detector arrays that will be demonstrated using the Cosmology Large Angular
Scale Surveyor (CLASS) ground-based telescope.


title:
Gabriel Triangulations and Angle-Monotone Graphs: Local Routing and
  Recognition

abstract:
  A geometric graph is angle-monotone if every pair of vertices has a path
between them that---after some rotation---is $x$- and $y$-monotone.
Angle-monotone graphs are $\sqrt 2$-spanners and they are increasing-chord
graphs. Dehkordi, Frati, and Gudmundsson introduced angle-monotone graphs in
2014 and proved that Gabriel triangulations are angle-monotone graphs. We give
a polynomial time algorithm to recognize angle-monotone geometric graphs. We
prove that every point set has a plane geometric graph that is generalized
angle-monotone---specifically, we prove that the half-$\theta_6$-graph is
generalized angle-monotone. We give a local routing algorithm for Gabriel
triangulations that finds a path from any vertex $s$ to any vertex $t$ whose
length is within $1 + \sqrt 2$ times the Euclidean distance from $s$ to $t$.
Finally, we prove some lower bounds and limits on local routing algorithms on
Gabriel triangulations.


title:
High surface magnetic field in red giants as a new signature of planet
  engulfment?

abstract:
  Context. Red-giant stars may engulf planets. This may increase the rotation
rate of their convective envelope, which could lead to strong dynamo-triggered
magnetic fields. Aims. We explore the possibility of generating magnetic fields
in red giants that have gone through the process of a planet engulfment. We
compare them with similar models that evolve without any planets. We discuss
the impact of stellar wind magnetic braking on the evolution of the surface
velocity of the parent star. Methods. With rotating stellar models with and
without planets and an empirical relation between the Rossby number and the
surface magnetic field, we deduce the evolution of the surface magnetic field
along the red-giant branch. The effects of wind magnetic braking is explored
using a relation deduced from MHD simulations. Results. The stellar evolution
model of a 1.7 M$_\odot$ without planet engulfment and that has a time-averaged
rotation velocity during the Main-Sequence equal to 100 km s$^{-1}$, shows a
surface magnetic field triggered by convection larger than 10 G only at the
base of the red giant branch, that means for gravities log $g > 3$. When a
planet engulfment occurs, such magnetic field can also appear at much lower
gravities, i.e. at much higher luminosities along the red giant branch.
Typically the engulfment of a 15 M$_J$ planet produces a dynamo triggered
magnetic field larger than 10 G for gravities between 2.5 and 1.9. We show that
for reasonable wind magnetic braking laws, the high surface velocity reached
after a planet engulfment may be maintained sufficiently long for being
observable. Conclusions. High surface magnetic fields for red giants in the
upper part of the red giant branch is a strong indication of a planet
engulfment or of an interaction with a companion. Our theory can be tested by
observing fast rotating red giants and check whether they show magnetic fields.


title:
Observation of two coupled Faraday waves in a vertically vibrating
  Hele-Shaw cell with one of them oscillating horizontally

abstract:
  A system of two-dimensional, two coupled Faraday interfacial waves is
experimentally observed at the two interfaces of the three layers of fluids
(air, pure ethanol and silicon oil) in a sealed Hele-Shaw cell with periodic
vertical vibration. The upper and lower Faraday waves coexist: the upper
vibrates vertically, but the crests of the lower one oscillate horizontally
with unchanged wave height and a frequency equal to the half of the forcing one
of the vertically vibrating basin, while the troughs of the lower one always
stay in the same place (relative to the basin). Besides, they are strongly
coupled: the wave height of the lower Faraday wave is either a linear function
(in the case of a fixed forcing frequency) or a parabolic function (in the case
of a fixed acceleration amplitude) of that of the upper, with the same wave
length. In addition, the upper Faraday wave temporarily loses its smoothness at
around $t=T/4$ and $t=3T/4$, where $T$ denotes the wave period, and thus has
fundamental difference from the traditional one. To the best of our knowledge,
this system of the two coupled Faraday waves has never been reported.


title:
Linear complementarity on simplicial cones and the congruence orbit of
  matrices

abstract:
  The congruence orbit of a matrix has a natural connection with the linear
complementarity problem on simplicial cones formulated for the matrix. In terms
of the two approaches -- the congruence orbit and the family of all simplicial
cones -- we give equivalent classification of matrices from the point of view
of the complementarity theory.


title: Parametric symmetry breaking in a nonlinear resonator

abstract:
  Much of the physical world around us can be described in terms of harmonic
oscillators in thermodynamic equilibrium. At the same time, the far from
equilibrium behavior of oscillators is important in many aspects of modern
physics. Here, we investigate a resonating system subject to a fundamental
interplay between intrinsic nonlinearities and a combination of several driving
forces. We have constructed a controllable and robust realization of such a
system using a macroscopic doubly clamped string. We experimentally observe a
hitherto unseen double hysteresis in both the amplitude and the phase of the
resonator's response function and present a theoretical model that is in
excellent agreement with the experiment. Our work provides a thorough
understanding of the double-hysteretic response through a symmetry breaking of
parametric phase states that elucidates the selection criteria governing
transitions between stable solutions. Our study motivates applications ranging
from ultrasensitive force detection to low-energy computing memory units.


title: Dynamics and Asymptotics of Correlations in a Many-Body Localized System

abstract:
  We examine the dynamics of nearest-neighbor bipartite concurrence and total
correlations in the spin-1/2 $XXZ$ model with random fields. We show, starting
from factorized random initial states, that the concurrence can suffer
entanglement sudden death in the long time limit and therefore may not be a
useful indicator of the properties of the system. In contrast, we show that the
total correlations capture the dynamics more succinctly, and further reveal a
fundamental difference in the dynamics governed by the ergodic versus many-body
localized phases, with the latter exhibiting dynamical oscillations. Finally,
we consider an initial state composed of several singlet pairs and show that by
fixing the correlation properties, while the dynamics do not reveal noticeable
differences between the phases, the long-time values of the correlation
measures appear to indicate the critical region.


title: A High Speed Multi-label Classifier based on Extreme Learning Machines

abstract:
  In this paper a high speed neural network classifier based on extreme
learning machines for multi-label classification problem is proposed and
dis-cussed. Multi-label classification is a superset of traditional binary and
multi-class classification problems. The proposed work extends the extreme
learning machine technique to adapt to the multi-label problems. As opposed to
the single-label problem, both the number of labels the sample belongs to, and
each of those target labels are to be identified for multi-label classification
resulting in in-creased complexity. The proposed high speed multi-label
classifier is applied to six benchmark datasets comprising of different
application areas such as multi-media, text and biology. The training time and
testing time of the classifier are compared with those of the state-of-the-arts
methods. Experimental studies show that for all the six datasets, our proposed
technique have faster execution speed and better performance, thereby
outperforming all the existing multi-label clas-sification methods.


title: Visibility Representations of Boxes in 2.5 Dimensions

abstract:
  We initiate the study of 2.5D box visibility representations (2.5D-BR) where
vertices are mapped to 3D boxes having the bottom face in the plane $z=0$ and
edges are unobstructed lines of sight parallel to the $x$- or $y$-axis. We
prove that: $(i)$ Every complete bipartite graph admits a 2.5D-BR; $(ii)$ The
complete graph $K_n$ admits a 2.5D-BR if and only if $n \leq 19$; $(iii)$ Every
graph with pathwidth at most $7$ admits a 2.5D-BR, which can be computed in
linear time. We then turn our attention to 2.5D grid box representations
(2.5D-GBR) which are 2.5D-BRs such that the bottom face of every box is a unit
square at integer coordinates. We show that an $n$-vertex graph that admits a
2.5D-GBR has at most $4n - 6 \sqrt{n}$ edges and this bound is tight. Finally,
we prove that deciding whether a given graph $G$ admits a 2.5D-GBR with a given
footprint is NP-complete. The footprint of a 2.5D-BR $\Gamma$ is the set of
bottom faces of the boxes in $\Gamma$.


title: Setting the scale for the CLS $2 + 1$ flavor ensembles

abstract:
  We present measurements of a combination of the decay constants of the light
pseudoscalar mesons and the gradient flow scale $t_0$, which allow to set the
scale of the lattices generated by CLS with $2 + 1$ flavors of
non-perturbatively improved Wilson fermions. Mistunings of the quark masses are
corrected for by measuring the derivatives of observables with respect to the
bare quark masses.


title:
Signatures of many-body localisation in the dynamics of two-sites
  entanglement

abstract:
  We are able to detect clear signatures of dephasing -- a distinct trait of
Many-Body Localisation (MBL) -- via the dynamics of two-sites entanglement,
quantified through the concurrence. Using the protocol implemented in [Science
{\bf 349}, 842 (2015)] we show that -- in the MBL phase -- the average two-site
entanglement decays in time as a power law, while in the Anderson localised
phase it tends to a plateau. The exponent of the power law is not universal and
shows a clear dependence on the strength of the interaction. This behaviour is
also qualitatively different in the ergodic phase where the two-site
entanglement decays exponentially. All the results are obtained by means of
time-dependent density matrix renormalisation group simulations; they are
corroborated by analytical calculations on an effective model. Two-site
entanglement has been already measured in cold atoms: Our analysis paves the
way for the first direct experimental test of many-body dephasing in the MBL
phase.


title: Lattice instability and enhancement of superconductivity in YB$_6$

abstract:
  The superconducting and normal state characteristics of yttrium hexaboride
(YB$_6$) have been investigated for the single crystals with a transition
temperatures $T_c$ ranging between 6 K and 7.6 K. The extracted set of
microscopic parameters [the coherence length $\xi$(0) $\sim$ 320$\div$340
${\AA}$, the penetration depth $\lambda$(0) $\sim$ 1100$\div$1600 ${\AA}$ and
the mean free path of charge carriers $l$ = 31$\div$58 ${\AA}$, the
Ginzburg-Landau-Maki parameters $\kappa$$_{1,2}$(0) $\sim$ 3.3$\div$4.8 and the
superconducting gap $\Delta$(0) $\sim$ 10.3$\div$14.8 K] confirms the type II
superconductivity in "dirty limit" ($\xi$$\gg$ $l$) with a medium to strong
electron-phonon interaction (the electron-phonon interaction constant
$\lambda_{e-ph}$ = 0.93$\div$0.96) and $s$-type pairing of charge carriers in
this compound [2$\Delta$(0)$/k_BT_c$ $\approx$ 4]. The comparative analysis of
charge transport (resistivity, Hall and Seebeck coefficients) and thermodynamic
(heat capacity, magnetization) properties in the normal state in YB$_6$ allowed
to detect a transition into the cage-glass state at $T^*$ $\sim$ 50 K with a
static disorder in the arrangement of the Y$^{3+}$ ions. We argue that the
significant $T_c$ variations in the YB$_6$ single crystals are determined by
two main factors: (i) the superconductivity enhancement is related with the
increase of the number of isolated vacancies, both at yttrium and boron sites,
which leads to the development of an instability in the hexaboride lattice;
(ii) the $T_c$ depression is additionally stimulated by the spin polarization
of conduction electrons emerged and enhanced by the magnetic field in the
vicinity of defect complexes in the YB$_6$ matrix.


title: Rotational KMS states and type I conformal nets

abstract:
  We consider KMS states on a local conformal net on the unit circle with
respect to rotations. We prove that, if the conformal net is of type I, namely
if it admits only type I DHR representations, then the extremal KMS states are
the Gibbs states in an irreducible representation. Completely rational nets,
the U(1)-current net, the Virasoro nets and their finite tensor products are
shown to be of type I. In the completely rational case, we also give a direct
proof that all factorial KMS states are Gibbs states.


title:
Ultrafast evolution and transient phases of the prototype
  out-of-equilibrium Mott-Hubbard material V2O3

abstract:
  The study of photoexcited strongly correlated materials is attracting growing
interest since their rich phase diagram often translates into an equally rich
out-of-equilibrium behavior, including non-thermal phases and photoinduced
phase transitions. With femtosecond optical pulses, electronic and lattice
degrees of freedom can be transiently decoupled, giving the opportunity of
stabilizing new states of matter inaccessible by quasi-adiabatic pathways. Here
we present a study of the ultrafast non-equilibrium evolution of the prototype
Mott-Hubbard material V2O3, which presents a transient non-thermal phase
developing immediately after photoexcitation and lasting few picoseconds. For
both the insulating and the metallic phase, the formation of the transient
configuration is triggered by the excitation of electrons into the bonding a1g
orbital, and is then stabilized by a lattice distortion characterized by a
marked hardening of the A1g coherent phonon. This configuration is in stark
contrast with the thermally accessible ones - the A1g phonon frequency actually
softens when heating the material. Our results show the importance of selective
electron-lattice interplay for the ultrafast control of material parameters,
and are of particular relevance for the optical manipulation of strongly
correlated systems, whose electronic and structural properties are often
strongly intertwinned.


title: A Novel Online Real-time Classifier for Multi-label Data Streams

abstract:
  In this paper, a novel extreme learning machine based online multi-label
classifier for real-time data streams is proposed. Multi-label classification
is one of the actively researched machine learning paradigm that has gained
much attention in the recent years due to its rapidly increasing real world
applications. In contrast to traditional binary and multi-class classification,
multi-label classification involves association of each of the input samples
with a set of target labels simultaneously. There are no real-time online
neural network based multi-label classifier available in the literature. In
this paper, we exploit the inherent nature of high speed exhibited by the
extreme learning machines to develop a novel online real-time classifier for
multi-label data streams. The developed classifier is experimented with
datasets from different application domains for consistency, performance and
speed. The experimental studies show that the proposed method outperforms the
existing state-of-the-art techniques in terms of speed and accuracy and can
classify multi-label data streams in real-time.


title:
Quantum corrections to inflation: the importance of RG-running and
  choosing the optimal RG-scale

abstract:
  We demonstrate the importance of correctly implementing RG-running and
choosing the RG-scale when calculating quantum corrections to inflaton
dynamics. We show that such corrections are negligible for single-field
inflation, in the sense of not altering the viable region in the $n_s-r$ plane,
when imposing Planck constraints on $A_s$. Surprisingly, this also applies, in
a nontrivial way, for an inflaton coupled to additional spectator degrees of
freedom. The result relies on choosing the renormalisation scale
(pseudo-)optimally, thereby avoiding unphysical large logarithmic corrections
to the Friedmann equations and large running of the couplings. We find that the
viable range of parameters of the potential is altered relative to the
classical limit, and we find an upper limit of $g\simeq 10^{-4}$ on the value
of the inflaton-spectator portal coupling still allowing for inflation. And an
upper limit of $g\simeq 10^{-5}$ for inflation to correctly reproduce the
scalar amplitude of fluctuations $A_s$.


title:
Approximate Capacity of the Two-User Gaussian Interference Channel with
  Noisy Channel-Output Feedback

abstract:
  In this research report, an achievability region and a converse region for
the two-user Gaussian interference channel with noisy channel-output feedback
(G-IC-NOF) are presented. The achievability region is obtained using a random
coding argument and three well-known techniques: rate splitting, superposition
coding and backward decoding. The converse region is obtained using some of the
existing perfect-output feedback outer-bounds as well as a set of new
outer-bounds that are obtained by using genie-aided models of the original
G-IC-NOF. Finally, it is shown that the achievability region and the converse
region approximate the capacity region of the G-IC-NOF to within a constant gap
in bits per channel use.


title: Detectability thresholds of general modular graphs

abstract:
  We investigate the detectability thresholds of various modular structures in
the stochastic block model. Our analysis reveals how the detectability
threshold is related to the details of the modular pattern, including the
hierarchy of the clusters. We show that certain planted structures are
impossible to infer regardless of their fuzziness.


title: A Sparse Stress Model

abstract:
  Force-directed layout methods constitute the most common approach to draw
general graphs. Among them, stress minimization produces layouts of
comparatively high quality but also imposes comparatively high computational
demands. We propose a speed-up method based on the aggregation of terms in the
objective function. It is akin to aggregate repulsion from far-away nodes
during spring embedding but transfers the idea from the layout space into a
preprocessing phase. An initial experimental study informs a method to select
representatives, and subsequent more extensive experiments indicate that our
method yields better approximations of minimum-stress layouts in less time than
related methods.


title: Opening-Assisted Coherent Transport in the Deep Classical Regime

abstract:
  We study quantum enhancement of transport in open systems in the presence of
disorder and dephasing. Quantum coherence effects may significantly enhance
transport in open systems even in the deep classical regime (where the
decoherence rate is greater than the inter-site hopping amplitude), as long as
the disorder is sufficiently strong. When the strengths of disorder and
dephasing are fixed, there is an optimal opening strength at which the coherent
transport enhancement is optimized. Analytic results are obtained in two simple
paradigmatic tight-binding models of large systems: the linear chain and the
fully connected network. The physical behavior is also reflected in the FMO
photosynthetic complex, which may be viewed as intermediate between these
paradigmatic models.