title: PET: An Eye-tracking Dataset for Animal-centric PASCAL Object Classes

abstract:
  We present the Pascal animal classes Eye Tracking database. Our database
comprises eye movement recordings compiled from forty users for the bird, cat,
cow, dog, horse and sheep {trainval} sets from the VOC 2012 image set.
Different from recent eye-tracking databases such as
\cite{kiwon_cvpr13_gaze,PapadopoulosCKF14}, a salient aspect of PET is that it
contains eye movements recorded for both the free-viewing and visual search
task conditions. While some differences in terms of overall gaze behavior and
scanning patterns are observed between the two conditions, a very similar
number of fixations are observed on target objects for both conditions. As a
utility application, we show how feature pooling around fixated locations
enables enhanced (animal) object classification accuracy.


title: Clustering implies geometry in networks

abstract:
  Network models with latent geometry have been used successfully in many
applications in network science and other disciplines, yet it is usually
impossible to tell if a given real network is geometric, meaning if it is a
typical element in an ensemble of random geometric graphs. Here we identify
structural properties of networks that guarantee that random graphs having
these properties are geometric. Specifically we show that random graphs in
which expected degree and clustering of every node are fixed to some constants
are equivalent to random geometric graphs on the real line, if clustering is
sufficiently strong. Large numbers of triangles, homogeneously distributed
across all nodes as in real networks, are thus a consequence of network
geometricity. The methods we use to prove this are quite general and applicable
to other network ensembles, geometric or not, and to certain problems in
quantum gravity.

categories: cond-mat.stat-mech cs.SI math.PR math.ST physics.soc-ph stat.TH


title:
Global continua of periodic solutions of singular first-order
  Hamiltonian systems of N-vortex type

abstract:
  The paper deals with singular first order Hamiltonian systems of the form \[
\Gamma_k\dot{z}_k(t)=J\nabla_{z_k} H\big(z(t)\big),\quad z_k(t) \in \Omega
\subset \mathbb{R}^2,\ k=1,\dots,N, \] where $J\in\mathbb{R}^{2\times2}$
defines the standard symplectic structure in $\mathbb{R}^2$, and the
Hamiltonian $H$ is of $N$-vortex type: \[ H(z_1,\dots,z_N) = -\frac1{2\pi}
\sum_{j\neq k=1}^N \Gamma_j \Gamma_k \log|z_j-z_k| - F(z). \] This is defined
on the configuration space $\{(z_1,\ldots,z_N)\in \Omega^{2N}:z_j\neq z_k\text{
for }j\neq k\}$ of $N$ different points in the domain
$\Omega\subset\mathbb{R}^2$. The function $F:\Omega^N\to\mathbb{R}$ may have
additional singularities near the boundary of $\Omega^N$. We prove the
existence of a global continuum of periodic solutions
$z(t)=(z_1(t),\dots,z_N(t))\in\Omega^N$ that emanates, after introducing a
suitable singular limit scaling, from a relative equilibrium
$Z(t)\in\mathbb{R}^{2N}$ of the $N$-vortex problem in the whole plane (where
$F=0$). Examples for $Z$ include Thomson's vortex configurations, or
equilateral triangle solutions. The domain $\Omega$ need not be simply
connected. A special feature is that the associated action integral is not
defined on an open subset of the space of $2\pi$-periodic $H^{1/2}$ functions,
the natural form domain for first order Hamiltonian systems. This is a
consequence of the singular character of the Hamiltonian. Our main tool in the
proof is a degree for $S^1$-equivariant gradient maps that we adapt to this
class of potential operators.


title:
A New Embedded-Atom Method Approach Based On the p-th Moment
  Approximation

abstract:
  Large scale atomistic simulations with suitable interatomic potentials are
widely employed by scientists or engineers of different areas. Quick generation
of high-quality interatomic potentials is of urgent need under present
circumstances, which largely relies on the developments of potential
construction methods and algorithms in this area. Quantities of interatomic
potential models have been proposed and parameterized with various methods,
such as analytic method, force-matching approach and multi-object optimization
method, in order to make the potentials more transferable. Without apparently
lowing precisions for describing the target system, potentials of fewer fitting
parameters (FPs) are somewhat more physically reasonable. Thus, studying
methods of reducing FP number is helpful to understand the underline physics of
simulated systems and generalize the construction methods to other similar
systems. However, few reported works concentrate on methods of reducing the
number of FPs without affecting precisions. In this work, the methods of
reducing the FP number while keeping the precisions are discussed from two
aspects. Firstly, the physical ideas of constructions of the embedded-atom
method (EAM) potential model are modified to make the potential more robust,
flexible and scalable without introducing too many FPs.Secondly, the smaller
reference data set (SRD), compared with the target reference database for
describing the mechanical behaviors of aluminum, is employed in our
construction procedures.


title: On norms taking integer values on the integer lattice

abstract:
  We present a new proof of Thurston's theorem that the unit ball of a seminorm
on $\mathbf{R}^d$ taking integer values on $\mathbf{Z}^d$ is a polyhedra
defined by finitely many inequalities with integer coefficients.


title: A population evolution model and its applications to random networks

abstract:
  A general population evolution model is considered. Any individual of the
population is characterized by its score. Certain general conditions are
assumed concerning the number of the individuals and their scores. Asymptotic
theorems are obtained for the number of individuals having some fixed score. It
is proved that the score distribution is scale free. The result is applied to
obtain the weight distributions of the cliques in a random graph evolution
model.


title:
Gravitational radiation by point particle eccentric binary systems in
  the linearised characteristic formulation of general relativity

abstract:
  We study a binary system composed of point particles of unequal masses in
eccentric orbits in the linear regime of the characteristic formulation of
general relativity, generalising a previous study found in the literature in
which a system of equal masses in circular orbits is considered. We also show
that the boundary conditions on the time-like world tubes generated by the
orbits of the particles can be extended beyond circular orbits. Concerning the
power lost by the emission of gravitational waves, it is directly obtained from
the Bondi's News function. It is worth stressing that our results are
completely consistent, because we obtain the same result for the power derived
by Peters and Mathews, in a different approach, in their seminal paper of 1963.
In addition, the present study constitutes a powerful tool to construct
extraction schemes in the characteristic formalism to obtain the gravitational
radiation produced by binary systems during the inspiralling phase.


title:
Scattering correction based on regularization de-convolution for
  Cone-Beam CT

abstract:
  In Cone-Beam CT (CBCT) imaging systems, the scattering phenomenon has a
significant impact on the reconstructed image and is a long-lasting research
topic on CBCT. In this paper, we propose a simple, novel and fast approach for
mitigating scatter artifacts and increasing the image contrast in CBCT,
belonging to the category of convolution-based method in which the projected
data is de-convolved with a convolution kernel. A key step in this method is
how to determine the convolution kernel. Compared with existing methods, the
estimation of convolution kernel is based on bi-l1-l2-norm regularization
imposed on both the intermediate the known scatter contaminated projection
images and the convolution kernel. Our approach can reduce the scatter
artifacts from 12.930 to 2.133.


title: Schrijver graphs and projective quadrangulations

abstract:
  In a recent paper [J. Combin. Theory Ser. B}, 113 (2015), pp. 1-17], the
authors have extended the concept of quadrangulation of a surface to higher
dimension, and showed that every quadrangulation of the $n$-dimensional
projective space $P^n$ is at least $(n+2)$-chromatic, unless it is bipartite.
They conjectured that for any integers $k\geq 1$ and $n\geq 2k+1$, the
Schrijver graph $SG(n,k)$ contains a spanning subgraph which is a
quadrangulation of $P^{n-2k}$. The purpose of this paper is to prove the
conjecture.


title: Modular Lattices from a Variation of Construction A over Number Fields

abstract:
  We consider a variation of Construction A of lattices from linear codes based
on two classes of number fields, totally real and CM Galois number fields. We
propose a generic construction with explicit generator and Gram matrices, then
focus on modular and unimodular lattices, obtained in the particular cases of
totally real, respectively, imaginary, quadratic fields. Our motivation comes
from coding theory, thus some relevant properties of modular lattices, such as
minimal norm, theta series, kissing number and secrecy gain are analyzed.
Interesting lattices are exhibited.


title:
Functional limit theorems for additive and multiplicative schemes in the
  Cox--Ingersoll--Ross model

abstract:
  In this paper, we consider the Cox--Ingersoll--Ross (CIR) process in the
regime where the process does not hit zero. We construct additive and
multiplicative discrete approximation schemes for the price of asset that is
modeled by the CIR process and geometric CIR process. In order to construct
these schemes, we take the Euler approximations of the CIR process itself but
replace the increments of the Wiener process with iid bounded vanishing
symmetric random variables. We introduce a "truncated" CIR process and apply it
to prove the weak convergence of asset prices. We establish the fact that this
"truncated" process does not hit zero under the same condition considered for
the original nontruncated process.


title:
Rabi oscillation induced $\pi$-phase flip in an unbalanced Ramsey atom
  interferometer

abstract:
  We present an observation of zero to $\pi$ phase flips induced by Rabi
oscillation in an unbalanced Ramsey atom interferometer. The phase shift and
visibility are experimentally investigated by modulating either the
polarization or duration of Raman lasers, and they are well explained by a
theoretical model. In an atom interferometer, the $\pi$-phase flips are caused
not only by the sign of Rabi frequency but also by the Rabi oscillation.
Considering the $\pi$-phase flips, we propose the composite-light-pulse
sequences for realizing the large-momentum-transfer beam splitter and mirror,
which have the high immunity to the external phase noise in building the cold
atom interferometer.


title: Blind quantum computing with two almost identical states

abstract:
  The question of whether a fully classical client can delegate a quantum
computation to an untrusted quantum server while fully maintaining privacy
(blindness) is one of the big open questions in quantum cryptography. Both yes
and no answers have important practical and theoretical consequences, and the
question seems genuinely hard. The state-of-the-art approaches to securely
delegating quantum computation, without exception, rely on granting the client
modest quantum powers, or on additional, non-communicating, quantum servers. In
this work, we consider the single server setting, and push the boundaries of
the minimal devices of the client, which still allow for blind quantum
computation. Our approach is based on the observation that, in many blind
quantum computing protocols, the "quantum" part of the protocol, from the
clients perspective, boils down to the establishing classical-quantum
correlations (independent from the computation) between the client and the
server, following which the steering of the computation itself requires only
classical communication. Here, we abstract this initial preparation phase,
specifically for the Universal Blind Quantum Computation protocol of Broadbent,
Fitzsimons and Kashefi. We identify sufficient criteria on the powers of the
client, which still allow for secure blind quantum computation. We work in a
universally composable framework, and provide a series of protocols, where each
step reduces the number of differing states the client needs to be able to
prepare. As the limit of such reductions, we show that the capacity to prepare
just two pure states, which have an arbitrarily high overlap (thus are
arbitrarily close to identical), suffices for efficient and secure blind
quantum computation.


title:
Model for the Cherenkov light emission of TeO$_{2}$ cryogenic
  calorimeters

abstract:
  The most sensitive process able to probe the Majorana nature of neutrinos and
discover Lepton Number Violation is the neutrino-less double beta decay. Thanks
to the excellent energy resolution, efficiency and intrinsic radio-purity,
cryogenic calorimeters are primed for the search for this process. A novel
approach able to improve the sensitivity of the current experiments is the
rejection of $\alpha$ interactions, that represents the dominant background
source. In TeO$_2$ calorimeters, $\alpha$ particles can be tagged as, in
contrast to electrons, they do not emit Cherenkov light. Nevertheless, the very
low amount of detected Cherenkov light undermines the complete rejection of
$\alpha$ background. In this paper we compare the results obtained in previous
measurements of the TeO$_2$ light yield with a detailed Monte Carlo simulation
able to reproduce the number of Cherenkov photons produced in $\beta/\gamma$
interactions within the calorimeter and their propagation in the experimental
set-up. We demonstrate that the light yield detectable from a
$5\times5\times5$~cm$^{3}$ TeO$_2$ bolometer can be increased by up to 60% by
increasing the surface roughness of the crystal and improving the light
detector design. Moreover, we study the possibility to disentangle $\alpha$,
$\beta$ and $\gamma$ interactions, which represent the ultimate background
source. Unfortunately $\gamma$ rejection is not feasible but $\alpha$ rejection
can be achieved exploiting high sensitivity light detectors.


title: Hochschild-Witt complex

abstract:
  In arxiv:1602.04254, we have defined polynomial Witt vectors functor from
vector spaces over a perfect field $k$ of positive characteristic $p$ to
abelian groups. In this paper, we use polynomial Witt vectors to construct a
functorial Hochschild-Witt complex $WCH_*(A)$ for any associative unital
$k$-algebra $A$, with homology groups $WHH_*(A)$. We prove that the group
$WHH_0(A)$ coincides with the group of non-commutative Witt vectors defined by
Hesselholt, while if $A$ is commutative, finitely generated, and smooth, the
groups $WHH_i(A)$ are naturally identified with the terms $W\Omega^i_A$ of the
de Rham-Witt complex of the spectrum of $A$.


title:
A Fast Algorithm for Computing the Fourier Spectrum of a Fractional
  Period

abstract:
  The Fourier spectrum at a fractional period is often examined when extracting
features from biological sequences and time series. It reflects the inner
information structure of the sequences. A fractional period is not uncommon in
time series. A typical example is the 3.6 period in protein sequences, which
determines the $\alpha$-helix secondary structure. Computing the spectrum of a
fractional period offers a high-resolution insight into a time series. It has
thus become an important approach in genomic analysis. However, computing
Fourier spectra of fractional periods by the traditional Fourier transform is
computationally expensive. In this paper, we present a novel, fast algorithm
for directly computing the fractional period spectrum (FPS) of time series. The
algorithm is based on the periodic distribution of signal strength at periodic
positions of the time series. We provide theoretical analysis, deduction, and
special techniques for reducing the computational costs of the algorithm. The
analysis of the computational complexity of the algorithm shows that the
algorithm is much faster than traditional Fourier transform. Our algorithm can
be applied directly in computing fractional periods in time series from a broad
of research fields. The computer programs of the FPS algorithm are available at
https://github.com/cyinbox/FPS.


title: Effect of delay time on the generation of chaos in continuous systems

abstract:
  The present study deals with a theoretical analysis of the effect of delay
time of energy transport upon the generation of complex dynamics in continuous
physical system. The importance of this time for the presence of quasi -
periodicity and chaos in a reactor is demonstrated. The considerations are
preceded by the analysis of one - dimensional mathematical model.


title:
Asymptotic normality of total least squares estimator in a multivariate
  errors-in-variables model $AX=B$

abstract:
  We consider a multivariate functional measurement error model $AX\approx B$.
The errors in $[A,B]$ are uncorrelated, row-wise independent, and have equal
(unknown) variances. We study the total least squares estimator of $X$, which,
in the case of normal errors, coincides with the maximum likelihood one. We
give conditions for asymptotic normality of the estimator when the number of
rows in $A$ is increasing. Under mild assumptions, the covariance structure of
the limit Gaussian random matrix is nonsingular. For normal errors, the results
can be used to construct an asymptotic confidence interval for a linear
functional of $X$.


title:
Fast $(1+\epsilon)$-approximation of the L\"owner extremal matrices of
  high-dimensional symmetric matrices

abstract:
  Matrix data sets are common nowadays like in biomedical imaging where the
Diffusion Tensor Magnetic Resonance Imaging (DT-MRI) modality produces data
sets of
  3D symmetric positive definite matrices anchored at voxel positions capturing
the anisotropic diffusion properties of water molecules in biological tissues.
The space of symmetric matrices can be partially ordered using the L\"owner
ordering, and computing extremal matrices dominating a given set of matrices is
a basic primitive used in matrix-valued signal processing. In this letter, we
design a fast and easy-to-implement iterative algorithm to approximate
arbitrarily finely these extremal matrices. Finally, we discuss on extensions
to matrix clustering.


title: Modules over the algebra $\mathcal{V}ir(a,b)$

abstract:
  For any two complex numbers $a$ and $b$, $\mathcal{V} ir(a,b)$ is a central
extension of $\mathcal{W}(a,b)$ which is universal in the case $(a,b)\neq
(0,1)$, where $\mathcal{W}(a,b)$ is the Lie algebra with basis $\{L_n,W_n\mid
n\in\Z\}$ and relations $[L_m,L_n]=(n-m)L_{m+n}$, $[L_m,W_n]=(a+n+bm)W_{m+n}$,
$[W_m,W_n]=0$. In this paper, we construct and classify a class of non-weight
modules over the algebra $\mathcal{V} ir(a,b)$ which are free $U(\mathbb{C}
L_0\oplus\mathbb{C} W_0)$-modules of rank $1$. It is proved that such modules
can only exist for $a=0$.


title: A Synthetic MIMO PLC Channel Model

abstract:
  The huge and increasing demand of data connectivity motivates the development
of new and effective power line communication (PLC) channel models, which are
able to faithfully describe a real communication scenario. This is of
fundamental importance since a good model represents a quick evaluation tool
for new standards or devices, allowing a considerable saving in time and costs.
The aim of this paper is to discuss a novel top-down MIMO PLC synthetic channel
model, able to numerically emulate a real PLC environment. First, the most
common channel modeling strategies are briefly described, highlighting
strengths and weaknesses. Afterwards, the basic model approach is described
considering the SISO scenario. The implementation strategy is then extended to
the MIMO case. The validity of the proposed model is proved making a comparison
between the simulated channels and channels obtained with measurements in terms
of both performance and statistical metrics. The focus is on the broadband
frequency spectrum.


title: On Word and Frontier Languages of Unsafe Higher-Order Grammars

abstract:
  Higher-order grammars are extensions of regular and context-free grammars,
where non-terminals may take parameters. They have been extensively studied in
1980's, and restudied recently in the context of model checking and program
verification. We show that the class of unsafe order-(n+1) word languages
coincides with the class of frontier languages of unsafe order-n tree
languages. We use intersection types for transforming an order-(n+1) word
grammar to a corresponding order-n tree grammar. The result has been proved for
safe languages by Damm in 1982, but it has been open for unsafe languages, to
our knowledge. Various known results on higher-order grammars can be obtained
as almost immediate corollaries of our result.


title: Eigenvalue pinching on $\text{spin}^c$ manifolds

abstract:
  We derive various pinching results for small Dirac eigenvalues using the
classification of $\text{spin}^c$ and spin manifolds admitting nontrivial
Killing spinors. For this, we introduce a notion of convergence for
$\text{spin}^c$ manifolds which involves a general study on convergence of
Riemannian manifolds with a principal $\mathbb{S}^1$-bundle. We also analyze
the relation between the regularity of the Riemannian metric and the regularity
of the curvature of the associated principal $\mathbb{S}^1$-bundle on
$\text{spin}^c$ manifolds with Killing spinors.


title:
Estimating the treatment effect on the treated under time-dependent
  confounding in an application to the Swiss HIV Cohort Study

abstract:
  When comparing time-varying treatments in a non-randomised setting, one must
often correct for time-dependent confounders that influence treatment choice
over time and that are themselves influenced by treatment. We present a new two
step procedure, based on additive hazard regression and linear increments
models, for handling such confounding when estimating average treatment effects
on the treated (ATT). The approach can also be used for mediation analysis. The
method is applied to data from the Swiss HIV Cohort Study, estimating the
effect of antiretroviral treatment on time to AIDS or death. Compared to other
methods for estimating the ATT, the proposed method is easy to implement using
available software packages in R.


title:
Performance of the ATLAS Muon Drift-Tube Chambers at High Background
  Rates and in Magnetic Fields

abstract:
  The ATLAS muon spectrometer uses drift-tube chambers for precision tracking.
The performance of these chambers in the presence of magnetic field and high
radiation fluxes is studied in this article using test-beam data recorded in
the Gamma Irradiation Facility at CERN. The measurements are compared to
detailed predictions provided by the Garfield drift-chamber simulation
programme.


title:
Localized surface plasmons selectively coupled to resonant light in
  tubular microcavities

abstract:
  Vertical gold-nanogaps are created on microtubular cavities to explore the
coupling between resonant light supported by the microcavities and surface
plasmons localized at the nanogaps. Selective coupling of optical axial modes
and localized surface plasmons critically depends on the exact location of the
gold-nanogap on the microcavities which is conveniently achieved by rolling-up
specially designed thin dielectric films into three dimensional microtube ring
resonators. The coupling phenomenon is explained by a modified quasi-potential
model based on perturbation theory. Our work reveals the coupling of surface
plasmon resonances localized at the nanoscale to optical resonances confined in
microtubular cavities at the microscale, implying a promising strategy for the
investigation of light-matter interactions.


title:
Hopf bifurcation and time periodic orbits in reaction-diffusion systems
  with pde2path - algorithms and applications

abstract:
  We describe the algorithms used in the Matlab continuation and bifurcation
package pde2path for Hopf bifurcation and continuation of branches of periodic
orbits in systems of PDEs in 1, 2, and 3 spatial dimensions, including the
computation of Floquet multipliers. We first test the methods on three reaction
diffusion examples, namely a complex Ginzburg-Landau equation as a toy problem,
a reaction diffusion system on a disk with rotational waves including stable
(anti) spirals bifurcating out of the trivial solution, and a Brusselator
system with interaction of Turing and Turing-Hopf bifurcations. Then we
consider a system from distributed optimal control, which is ill-posed as an
initial value problem and thus needs a particularly stable method for computing
Floquet multipliers, for which we use a periodic Schur decomposition. The
implementation details how to use pde2path on these problems are given in an
accompanying tutorial, which, together with all other downloads (function
libraries, demos and further documentation) can be found at
http://www.staff.uni-oldenburg.de/hannes.uecker/pde2path.


title: Inverse obstacle scattering with non-over-determined data

abstract:
  It is proved that the scattering amplitude $A(\beta, \alpha_0, k_0)$, known
for all $\beta\in S^2$, where $S^2$ is the unit sphere in $\mathbb{R}^3$, and
fixed $\alpha_0\in S^2$ and $k_0>0$, determines uniquely the surface $S$ of the
obstacle $D$ and the boundary condition on $S$. The boundary condition on $S$
is assumed to be the Dirichlet, or Neumann, or the impedance one. The
uniqueness theorem for the solution of multidimensional inverse scattering
problems with non-over-determined data was not known for many decades. Such a
theorem is proved in this paper for inverse scattering by obstacles for the
first time.


title: Manifold unwrapping using density ridges

abstract:
  Research on manifold learning within a density ridge estimation framework has
shown great potential in recent work for both estimation and de-noising of
manifolds, building on the intuitive and well-defined notion of principal
curves and surfaces. However, the problem of unwrapping or unfolding manifolds
has received relatively little attention within the density ridge approach,
despite being an integral part of manifold learning in general. This paper
proposes two novel algorithms for unwrapping manifolds based on estimated
principal curves and surfaces for one- and multi-dimensional manifolds
respectively. The methods of unwrapping are founded in the realization that
both principal curves and principal surfaces will have inherent local maxima of
the probability density function. Following this observation, coordinate
systems that follow the shape of the manifold can be computed by following the
integral curves of the gradient flow of a kernel density estimate on the
manifold. Furthermore, since integral curves of the gradient flow of a kernel
density estimate is inherently local, we propose to stitch together local
coordinate systems using parallel transport along the manifold. We provide
numerical experiments on both real and synthetic data that illustrates clear
and intuitive unwrapping results comparable to state-of-the-art manifold
learning algorithms.


title:
Minimax interpolation of sequences with stationary increments and
  cointegrated sequences

abstract:
  We consider the problem of optimal estimation of the linear functional
$A_N{\xi}=\sum_{k=0}^Na(k)\xi(k)$ depending on the unknown values of a
stochastic sequence $\xi(m)$ with stationary increments from observations of
the sequence $\xi(m)+\eta (m)$ at points of the set
$\mathbb{Z}\setminus\{0,1,2,\ldots,N\}$, where $\eta(m)$ is a stationary
sequence uncorrelated with $\xi(m)$. We propose formulas for calculating the
mean square error and the spectral characteristic of the optimal linear
estimate of the functional in the case of spectral certainty, where spectral
densities of the sequences are exactly known. We also consider the problem for
a class of cointegrated sequences. We propose relations that determine the
least favorable spectral densities and the minimax spectral characteristics in
the case of spectral uncertainty, where spectral densities are not exactly
known while a set of admissible spectral densities is specified.


title: Abraham-Lorentz-Dirac Equation in 5D Stuekelberg Electrodynamics

abstract:
  We derive the Abraham-Lorentz-Dirac (ALD) equation in the framework of the
electrodynamic theory associated with Stueckelberg manifestly covariant
canonical mechanics. In this framework, a particle worldline is traced out
through the evolution of an event $x^\mu(\tau)$. By admitting unconstrained
commutation relations between the positions and velocities, the associated
electromagnetic gauge fields are in general dependent on the parameter $\tau$,
which plays the role of time in Newtonian mechanics. Standard Maxwell theory
emerges from this system as a $\tau$-independent equilibrium limit. In this
paper, we calculate the $\tau$-dependent field induced by an arbitrarily
evolving event, and study the long-range radiation part, which is seen to be an
on-shell plane wave of the Maxwell type. Following Dirac's method, we obtain an
expression for the finite part of the self-interaction, which leads to the ALD
equation that generalizes the Lorentz force. This third-order differential
equation is then converted to an integro-differential equation, identical to
the standard Maxwell expression, except for the $\tau$-dependence of the field.
By studying this $\tau$-dependence in detail, we show that field can be removed
from the integration, so that the Lorentz force depends only on the
instantaneous external field and an integral over dynamical variables of the
event evolution. In this form, pre-acceleration of the event by future values
of the field is not present.


title: Two infinite series of moduli spaces of rank 2 sheaves on $\mathbb{P}^3$

abstract:
  We describe new components of the Gieseker--Maruyama moduli scheme
$\mathcal{M}(n)$ of semistable rank 2 sheaves $E$ on $\mathbb{P}^3$ with
$c_1(E)=0$, $c_2(E)=n$ and $c_3(E)=0$ whose generic point corresponds to non
locally free sheaves. We show that such components grow in number as $n$ grows,
and discuss how they intersect the instanton component. As an application, we
prove that $\mathcal{M}(2)$ is connected, and identify a connected subscheme of
$\mathcal{M}(3)$ consisting of 7 irreducible components.


title: Differential subordination under change of law

abstract:
  We prove optimal ${L}^2$ bounds for a pair of Hilbert space valued
differentially subordinate martingales under a change of law. The change of law
is given by a process called a weight and sharpness in this context refers to
the optimal growth with respect to the characteristic of the weight. The pair
of martingales are adapted, uniformly integrable, and cadlag. Differential
subordination is in the sense of Burkholder, defined through the use of the
square bracket. In the scalar dyadic setting with underlying Lebesgue measure,
this was proved by Wittwer, where homogeneity was heavily used. Recent progress
by Thiele-Treil-Volberg and Lacey, independently, resloved the so-called
non-homogenous case of discrete in time filtrations with two completely
different proofs. The general case for continuous-in-time filtrations remained
open and is adressed here. As a by-product, we give the needed explicit
expression of a Bellman function of four variables for the weighted estimate of
subordinate martingales with jumps.


title:
Low X-Ray Luminosity Galaxy Clusters: Main goals, sample selection,
  photometric and spectroscopic observations

abstract:
  We present the study of nineteen low X-ray luminosity galaxy clusters (L$_X
\sim$ 0.5--45 $\times$ $10^{43}$ erg s$^{-1}$), selected from the ROSAT
Position Sensitive Proportional Counters (PSPC) Pointed Observations (Vikhlinin
et al. 1998) and the revised version of Mullis et al. (2003) in the redshift
range of 0.16 to 0.7. This is the introductory paper of a series presenting the
sample selection, photometric and spectroscopic observations and data
reduction. Photometric data in different passbands were taken for eight galaxy
clusters at Las Campanas Observatory; three clusters at Cerro Tololo
Interamerican Observatory; and eight clusters at the Gemini Observatory.
Spectroscopic data were collected for only four galaxy clusters using Gemini
telescopes. With the photometry, the galaxies were defined based on the
star-galaxy separation taking into account photometric parameters. For each
galaxy cluster, the catalogues contain the PSF and aperture magnitudes of
galaxies within the 90\% completeness limit. They are used together with
structural parameters to study the galaxy morphology and to estimate
photometric redshifts. With the spectroscopy, the derived galaxy velocity
dispersion of our clusters ranged from 507 km~s$^{-1}$ for [VMF98]022 to 775
km~s$^{-1}$ for [VMF98]097 with signs of substructure. Cluster membership has
been extensively discussed taking into account spectroscopic and photometric
redshift estimates. In this sense, members are the galaxies within a projected
radius of 0.75 Mpc from the X-ray mission peak and with cluster centric
velocities smaller than the cluster velocity dispersion or 6000 km~s$^{-1}$,
respectively. These results will be used in forthcoming papers to study, among
the main topics, the red cluster sequence, blue cloud and green populations;
the galaxy luminosity function and cluster dynamics.


title: Electrostatics in Stueckelberg-Horwitz-Piron Electrodynamics

abstract:
  In this paper, we study fundamental aspects of electrostatics as a special
case in Stueckelberg-Horwitz electromagnetic theory. In this theory, spacetime
events $x^\mu(\tau)$ evolve in an unconstrained 8-dimensional phase space,
interacting through five $\tau$-dependent gauge fields induced by the current
densities associated with their evolutions. The chronological time $\tau$ was
introduced as an independent evolution parameter in order to free the
laboratory clock $x^0$ to evolve alternately 'forward' and 'backward' in time
according to the sign of the energy, thus providing a classical implementation
of the Feynman-Stueckelberg interpretation of pair creation/annihilation. The
resulting theory differs in its underlying mechanics from conventional
electromagnetism, but coincides with Maxwell theory in an equilibrium limit.
  After a brief review of Stueckelberg-Horwitz electrodynamics, we obtain the
field produced by an event in uniform motion and verify that it satisfies the
field equations. We study this field in the rest frame of the event, where it
depends explicitly on coordinate time $x^0$ and the parameter $\tau$, as well
as spatial distance $R$. Calculating with this generalized Coulomb field, we
demonstrate how Gauss's theorem and Stoke's theorem apply in 4D spacetime, and
obtain the fields associated with a charged line and a charged sheet. Finally,
we use the field of the charged sheet to study a static event in the vicinity
of a potential barrier. In all of these cases, we observe a small transfer of
mass from the field to the particle. It is seen that for an event in the field
of an oppositely charged sheet of sufficient density, the event can reverse
time direction, providing a specific model for pair phenomena.


title: Spontaneous skyrmion chains in nanorods with chiral interactions

abstract:
  We report that in cylindrical nanorods skyrmion chains, i.e.,
three-dimensional spin textures, emerge dynamically, as revealed by
micromagnetic simulations. The skyrmion-chain state occurs when the diameter of
the rod is larger than the helical pitch length of the material, and the number
of skyrmions on the chain is proportional to the length of the nanorod. This
finding provides a deeper understanding of the interplay between geometry and
skyrmionic symmetry, and shows how spatial confinement can stabilize
spontaneous topological spin textures.


title: Summability of multilinear forms on classical sequence spaces

abstract:
  We present an extension of the Hardy--Littlewood inequality for multilinear
forms. More precisely, let $\mathbb{K}$ be the real or complex scalar field and
$m,k$ be positive integers with $m\geq k\,$ and $n_{1},\dots ,n_{k}$ be
positive integers such that $n_{1}+\cdots +n_{k}=m$.
  ($a$) If $(r,p)\in (0,\infty )\times \lbrack 2m,\infty ]$ then there is a
constant $D_{m,r,p,k}^{\mathbb{K}}\geq 1$ (not depending on $n$) such that $$
\left( \sum_{i_{1},\dots ,i_{k}=1}^{n}\left| T\left( e_{i_{1}}^{n_{1}},\dots
,e_{i_{k}}^{n_{k}}\right) \right| ^{r}\right) ^{% \frac{1}{r}}\leq
D_{m,r,p,k}^{\mathbb{K}} \cdot n^{max\left\{ \frac{%
2kp-kpr-pr+2rm}{2pr},0\right\} }\left| T\right| $$ for all $m$-linear forms
$T:\ell_{p}^{n}\times \cdots \times \ell_{p}^{n}\rightarrow \mathbb{K}$ and all
positive integers $n$. Moreover, the exponent $max\left\{
\frac{2kp-kpr-pr+2rm}{2pr},0\right\} $ is optimal.
  ($b$) If $(r, p) \in (0, \infty) \times (m, 2m]$ then there is a constant $%
D_{m,r,p, k}^{\mathbb{K}}\geq 1$ (not depending on $n$) such that $$ \left(
\sum_{i_{1},\dots ,i_{k}=1}^{n }\left| T\left( e_{i_{1}}^{n_{1}},\dots
,e_{i_{k}}^{n_{k}}\right) \right| ^{r }\right) ^{% \frac{1}{r }}\leq D_{m,r,p,
k}^{\mathbb{K}} \cdot n^{ max \left\{\frac{% p-rp+rm}{pr}, 0\right\}}\left|
T\right| $$ for all $m$-linear forms $T:\ell_{p}^{n}\times \cdots \times
\ell_{p}^{n}\rightarrow \mathbb{K}$ and all positive integers $n$. Moreover,
the exponent $max \left\{\frac{p-rp+rm}{pr}, 0\right\}$ is optimal.
  The case $k=m$ recovers a recent result due to G. Araujo and D. Pellegrino.


title: Fractal solutions of reactor models

abstract:
  Three kinds of fractal solutions of model of reactors are presented. The
first kind concerns the structure of Feigenbaum_s diagram on the limit of
chaos. The second kind and the third one concern the effect of initial
conditions on the dynamic solutions of models. In the course of computations
two types of recirculation were considered, viz. the recirculation of mass
(return of a part of products stream) and recirculation of heat (heat exchange
in the external heat exchanger).


title: Irreducible Ulrich bundles on isotropic Grassmannians

abstract:
  We classify irreducible equivariant Ulrich vector bundles on isotropic
Grassmannians.


title:
The White Dwarf Binary Pathways Survey I: A sample of FGK stars with
  white dwarf companions

abstract:
  The number of spatially unresolved white dwarf plus main-sequence star
binaries has increased rapidly in the last decade, jumping from only ~30 in
2003 to over 3000. However, in the majority of known systems the companion to
the white dwarf is a low mass M dwarf, since these are relatively easy to
identify from optical colours and spectra. White dwarfs with more massive FGK
type companions have remained elusive due to the large difference in optical
brightness between the two stars. In this paper we identify 934 main-sequence
FGK stars from the Radial Velocity Experiment (RAVE) survey in the southern
hemisphere and the Large Sky Area Multi-Object Fiber Spectroscopic Telescope
(LAMOST) survey in the northern hemisphere, that show excess flux at
ultraviolet wavelengths which we interpret as the likely presence of a white
dwarf companion. We obtained Hubble Space Telescope ultraviolet spectra for
nine systems which confirmed that the excess is indeed caused, in all cases, by
a hot compact companion, eight being white dwarfs and one a hot subdwarf or
pre-helium white dwarf, demonstrating that this sample is very clean. We also
address the potential of this sample to test binary evolution models and type
Ia supernovae formation channels.


title: Parquet decomposition calculations of the electronic self-energy

abstract:
  The parquet decomposition of the self-energy into classes of diagrams, those
associated with specific scattering processes, can be exploited for different
scopes. In this work, the parquet decomposition is used to unravel the
underlying physics of non-perturbative numerical calculations. We show the
specific example of dynamical mean field theory (DMFT) and its cluster
extensions (DCA) applied to the Hubbard model at half-filling and with hole
doping: These techniques allow for a simultaneous determination of two-particle
vertex functions and self-energies, and hence, for an essentially "exact"
parquet decomposition at the single-site or at the cluster level. Our
calculations show that the self-energies in the underdoped regime are dominated
by spin scattering processes, consistent with the conclusions obtained by means
of the fluctuation diagnostics approach [Phys. Rev. Lett. 114, 236402 (2015)].
However, differently from the latter approach, the parquet procedure displays
important changes with increasing interaction: Even for relatively moderate
couplings, well before the Mott transition, singularities appear in different
terms, with the notable exception of the predominant spin-channel. We explain
precisely how these singularities, which partly limit the utility of the
parquet decomposition, and - more generally - of parquet-based algorithms, are
never found in the fluctuation diagnostics procedure. Finally, by a more
refined analysis, we link the occurrence of the parquet singularities in our
calculations to a progressive suppression of charge fluctuations and the
formation of an RVB state, which are typical hallmarks of a pseudogap state in
DCA.


title: The algebraisation of higher Deligne--Lusztig representations

abstract:
  In this paper we study higher Deligne--Lusztig representations of reductive
groups over finite quotients of discrete valuation rings. At even levels, we
show that these geometrically constructed representations coincide with certain
induced representations in the generic case; this gives a solution to a problem
raised by Lusztig. In particular, we determine the dimensions of these
representations. As an immediate application we verify a conjecture of
Letellier for $\mathrm{GL}_2$ and $\mathrm{GL}_3$.


title: A local characterization of Kazhdan projections and applications

abstract:
  We give a local characterization of the existence of Kazhdan projections for
arbitary families of Banach space representations of a compactly generated
locally compact group $G$. We also define and study a natural generalization of
the Fell topology to arbitrary Banach space representations of a locally
compact group. We give several applications in terms of stability of rigidity
under perturbations. Among them, we show a Banach-space version of the
Delorme--Guichardet theorem stating that property (T) and (FH) are equivalent
for $\sigma$-compact locally compact groups. Another kind of applications is
that many forms of Banach strong property (T) are open in the space of marked
groups, and more generally every group with such a property is a quotient of a
compactly presented group with the same property. We also investigate the
notions of central and non central Kazhdan projections, and present examples of
non central Kazhdan projections coming from hyperbolic groups.


title:
BPEC: An R Package for Bayesian Phylogeographic and Ecological
  Clustering

abstract:
  BPEC is an R package for Bayesian Phylogeographic and Ecological Clustering
which allows geographical, environmental and phenotypic measurements to be
combined with DNA sequences in order to reveal clustered structure resulting
from migration events. DNA sequences are modelled using a collapsed version of
a simplified coalescent model projected onto haplotype trees, which
subsequently give rise to constrained clusterings as migrations occur. Within
each cluster, a multivariate Gaussian distribution of the covariates
(geographical, environmental, phenotypic) is used. Inference follows tailored
Reversible Jump Markov chain Monte Carlo sampling so that the number of
clusters (i.e., migrations) does not need to be pre-specified. A number of
output plots and visualizations are provided which reflect the posterior
distribution of the parameters of interest. BPEC also includes functions that
create output files which can be loaded into Google Earth. The package commands
are illustrated through an example dataset of the polytypic Near Eastern brown
frog Rana macrocnemis analysed using BPEC.


title: Field signature for apparently superluminal particle motion

abstract:
  In the context of Stueckelberg's covariant symplectic mechanics, Horwitz and
Aharonovich have proposed a simple mechanism by which a particle traveling
below light speed almost everywhere may exhibit a transit time that suggests
superluminal motion. This mechanism, which requires precise measurement of the
particle velocity, involves a subtle perturbation affecting the particle's
recorded time coordinate caused by virtual pair processes. The Stueckelberg
framework is particularly well suited to such problems, because it permits pair
creation/annihilation at the classical level. In this paper, we study a
trajectory of the type proposed by Horwitz and Aharonovich, and derive the
Maxwell 4-vector potential associated with the motion. We show that the
resulting fields carry a signature associated with the apparent superluminal
motion, providing an independent test for the mechanism that does not require
direct observation of the trajectory, except at the detector.


title: Massive Gravitons on Bohmian Congruences

abstract:
  Taking a quantum corrected form of Raychaudhuri equation in a geometric
background described by a Lorentz-violating massive theory of gravity, we go
through investigating a time-like congruence of massive gravitons affected by a
Bohmian quantum potential. We find some definite conditions upon which these
gravitons are confined to diverging Bohmian trajectories. The respective
behaviour of those quantum potentials are also derived and discussed.
Additionally, and through a relativistic quantum treatment of a typical wave
function, we demonstrate schematic conditions on the associated frequency to
the gravitons, in order to satisfy the necessity of divergence.


title:
Random convolution of inhomogeneous distributions with
  $\mathcal{O}$-exponential tail

abstract:
  Let $\{\xi_1,\xi_2,\ldots\}$ be a sequence of independent random variables
(not necessarily identically distributed), and $\eta$ be a counting random
variable independent of this sequence. We obtain sufficient conditions on
$\{\xi_1,\xi_2,\ldots\}$ and $\eta$ under which the distribution function of
the random sum $S_{\eta}=\xi_1+\xi_2+\cdots+\xi_{\eta}$ belongs to the class of
$\mathcal{O}$-exponential distributions.


title: Olson Order of Quantum Observables

abstract:
  Using ideas of Olson \cite{Ols} who showed that the system of effect
operators of a Hilbert space can be ordered by the so-called spectral order
such that the system of effect operators is a complete lattice. Using his
ideas, we introduce a partial order, called the Olson order, on the set of
bounded observables of a complete lattice effect algebra. We show that the set
of bounded observables is a Dedekind complete lattice.0


title:
Irreducible modules for equivariant map superalgebras and their
  extensions

abstract:
  Let $\Gamma$ be a group acting on a scheme $X$ and on a Lie superalgebra
$\mathfrak{g}$, both defined over an algebraically closed field of
characteristic zero $\Bbbk$. The corresponding equivariant map superalgebra
$M(\mathfrak{g}, X)^\Gamma$ is the Lie superalgebra of equivariant regular maps
from $X$ to $\mathfrak{g}$. In this paper we complete the classification of
finite-dimensional irreducible $M(\mathfrak{g}, X)^\Gamma$-modules when
$\mathfrak{g}$ is a finite-dimensional simple Lie superalgebra, $X$ is of
finite type and $\Gamma$ is a finite abelian group acting freely on the
rational points of $X$, by classifying these $M(\mathfrak{g},X)^\Gamma$-modules
in the case where $\mathfrak{g}$ is a periplectic Lie superalgebra. We also
describe extensions between irreducible modules in terms of homomorphisms and
extensions between modules for certain finite-dimensional Lie superalgebras.


title:
High-Tc Superconductivity: Strong Indication of Filamentary-Chaotic
  Conductance and Possible Routes to Superconductivity Above Room Temperature

abstract:
  The empirical relation of T_co(K)=2740/<q>_c^4 between the transition
temperature of optimum doped superconductors T_co and the mean cationic charge
<q>_c, a physical paradox, can be recast to strongly support fractal theories
of high-T_c superconductors, thereby applying the finding that the optimum hole
concentration of h^+ = 0.229 can be linked with the universal fractal constant
delta_1 = 8.72109... of the renormalized Henon map. The transition temperature
obviously increases steeply with a domain structure of ever narrower size,
characterized by Fibonacci numbers. With this backing superconductivity above
room temperature can be conceived for synthetic sandwich structures of <q>_c
less than 2+. For instance, composites of tenorite and cuprite respectively
tenorite and CuI (CuBr, CuCl) onto AuCu alloys are proposed. This specification
is suggested by previously described filamentary superconductivity of 'bulk'
CuO_1-x samples. In addition, cesium substitution in the Tl-1223 compound is an
option. A low mean cationic charge allows the development of a frustrated
nano-sized fractal structure of possible ferroelastic nature delivering
nano-channels for the very fast charge transport, in common for both high-T_c
superconductors and organic inorganic halide perovskite solar materials.


title:
Chaotic and non-chaotic mixed oscillations in a logistic systems with
  delay

abstract:
  The paper deals with the theoretical analysis of a logistic system composed
of at least two elements with distributed parameters. It has been shown that
such a system may generate specific oscillations in spite of the fact that the
solutions of the mathematical method are characterized by no dynamic
bifurcations. It has also been shown that the time series of the state
variables of such a system may behave in a semi-chaotic way. This means that
they have then predictable and unpredictable fragments. The analysis has been
illustrated by two examples, viz. of a simple logistic model and of a reactor
with feedback.


title: Pair production in classical Stueckelberg-Horwitz-Piron electrodynamics

abstract:
  In this paper we calculate pair production from bremsstrahlung as a classical
effect in Stueckelberg-Horwitz-Piron electrodynamics. In this framework,
worldlines are traced out dynamically through the evolution of events
$x^\mu(\tau)$ parameterized by a chronological time $\tau$ that is independent
of the spacetime coordinates. These events, defined in an unconstrained 8D
phase space, interact through five $\tau$-dependent gauge fields induced by the
event evolution. The resulting theory differs in its underlying mechanics from
conventional electromagnetism, but coincides with Maxwell theory in an
equilibrium limit. In particular, the total mass-energy-momentum of particles
and fields is conserved, but the mass-shell constraint is lifted from
individual interacting events, so that the standard Feynman-Stueckelberg
interpretation of pair creation/annihilation is implemented in classical
mechanics.


title: Room temperature chiral discrimination in paramagnetic NMR spectroscopy

abstract:
  A recently proposed theory of chiral discrimination in NMR spectroscopy based
on the detection of a molecular electric polarization $\mathbf{P}$ rotating in
a plane perpendicular to the NMR magnetic field [A. D. Buckingham, J. Chem.
Phys. $\mathbf{140}$, 011103 (2014)], is here generalized to paramagnetic
systems. Our theory predicts new contributions to $\mathbf{P}$, varying as the
square of the inverse temperature. Ab initio calculations for ten Dy$^{3+}$
complexes, at 293K, show that in strongly anisotropic paramagnetic molecules
$\mathbf{P}$ can be more than 1000 times larger than in diamagnetic molecules,
making paramagnetic NMR chiral discrimination amenable to room temperature
detection.


title: Prices and Subsidies in the Sharing Economy

abstract:
  The growth of the sharing economy is driven by the emergence of sharing
platforms, e.g., Uber and Lyft, that match owners looking to share their
resources with customers looking to rent them. The design of such platforms is
a complex mixture of economics and engineering, and how to "optimally" design
such platforms is still an open problem. In this paper, we focus on the design
of prices and subsidies in sharing platforms. Our results provide insights into
the tradeoff between revenue maximizing prices and social welfare maximizing
prices. Specifically, we introduce a novel model of sharing platforms and
characterize the profit and social welfare maximizing prices in this model.
Further, we bound the efficiency loss under profit maximizing prices, showing
that there is a strong alignment between profit and efficiency in practical
settings. Our results highlight that the revenue of platforms may be limited in
practice due to supply shortages; thus platforms have a strong incentive to
encourage sharing via subsidies. We provide an analytic characterization of
when such subsidies are valuable and show how to optimize the size of the
subsidy provided. Finally, we validate the insights from our analysis using
data from Didi Chuxing, the largest ridesharing platform in China.


title:
Asymptotics of exponential moments of a weighted local time of a
  Brownian motion with small variance

abstract:
  We prove a large deviation type estimate for the asymptotic behavior of a
weighted local time of $\varepsilon W$ as $\varepsilon\to0$.


title:
Constraining the supersaturation density equation of state from
  core-collapse supernova simulations - Excluded volume extension of the
  baryons

abstract:
  In this article the role of the supersaturation density equation of state
(EOS) is explored in simulations of failed core-collapse supernova explosions.
Therefore the nuclear EOS is extended via a one-parameter excluded volume
description for baryons, taking into account their finite and increasing volume
with increasing density in excess of saturation density. Parameters are
selected such that the resulting supernova EOS represent extreme cases, with
high pressure variations at supersaturation density which feature extreme stiff
and soft EOS variants of the reference case, i.e. without excluded volume
corrections. Unlike in the interior of neutron stars with central densities in
excess of several times saturation density, central densities of core-collapse
supernovae reach only slightly above saturation density. Hence, the impact of
the supersaturation density EOS on the supernova dynamics as well as the
neutrino signal is found to be negligible. It is mainly determined from the
low- and intermediate-density domain, which is left unmodified within this
generalized excluded volume approach.


title: On linear independence measures of the values of Mahler functions

abstract:
  In this paper, we estimate the linear independence measures for the values of
a class Mahler functions of degree one and two. For the purpose, we study the
determinants of suitable Hermite-Pad\'{e} approximation polynomials. Based on
the non-vanishing of these determinants, we apply the functional equations to
get an infinite sequence of approximations which is used to produce the linear
independence measures.


title:
Analysis of the intermediate-state contributions to neutrinoless double
  beta-minus decays

abstract:
  A comprehensive analysis of the structure of the nuclear matrix elements
(NMEs) of neutrinoless double beta-minus decays to the 0^+ ground and first
excited states is performed in terms of the contributing multipole states in
the intermediate nuclei of neutrinoless double beta-minus transitions. We
concentrate on the transitions mediated by the light (l-NMEs) Majorana
neutrinos. As nuclear model we use the proton-neutron quasiparticle
random-phase approximation (pnQRPA) with a realistic two-nucleon interaction
based on the Bonn one-boson-exchange G matrix. In the computations we include
the appropriate short-range correlations, nucleon form factors, higher-order
nucleonic weak currents and restore the isospin symmetry by the
isoscalar-isovector decomposition of the particle-particle proton-neutron
interaction parameter g_{pp}.


title: Free Surface Lattice Boltzmann with Enhanced Bubble Model

abstract:
  This paper presents an enhancement to the free surface lattice Boltzmann
method (FSLBM) for the simulation of bubbly flows including rupture and breakup
of bubbles. The FSLBM uses a volume of fluid approach to reduce the problem of
a liquid-gas two-phase flow to a single-phase free surface simulation. In
bubbly flows compression effects leading to an increase or decrease of pressure
in the suspended bubbles cannot be neglected. Therefore, the free surface
simulation is augmented by a bubble model that supplies the missing information
by tracking the topological changes of the free surface in the flow. The new
model presented here is capable of handling the effects of bubble breakup and
coalesce without causing a significant computational overhead. Thus, the
enhanced bubble model extends the applicability of the FSLBM to a new range of
practically relevant problems, like bubble formation and development in
chemical reactors or foaming processes.


title: Coherent Charge Transport in Ballistic InSb Nanowire Josephson Junctions

abstract:
  Hybrid InSb nanowire-superconductor devices are promising for investigating
Majorana modes and topological quantum computation in solid-state devices. An
experimental realisation of ballistic, phase-coherent superconductor-nanowire
hybrid devices is a necessary step towards engineering topological
superconducting electronics. Here, we report on a low-temperature transport
study of Josephson junction devices fabricated from InSb nanowires grown by
molecular-beam epitaxy and provide a clear evidence for phase-coherent,
ballistic charge transport through the nanowires in the junctions. We
demonstrate that our devices show gate-tunable proximity-induced supercurrent
and clear signatures of multiple Andreev reflections in the differential
conductance, indicating phase-coherent transport within the junctions. We also
observe periodic modulations of the critical current that can be associated
with the Fabry-P\'{e}rot interference in the nanowires in the ballistic
transport regime. Our work shows that the InSb nanowires grown by
molecular-beam epitaxy are of excellent material quality and hybrid
superconducting devices made from these nanowires are highly desirable for
investigation of the novel physics in topological states of matter and for
applications in topological quantum electronics.


title: Scaling invariant Harnack inequalities in a general setting

abstract:
  In a setting, where only "exit measures" are given, as they are associated
with an arbitrary right continuous strong Markov process on a separable metric
space, we provide simple criteria for the validity of Harnack inequalities for
positive harmonic functions. These inequalities are scaling invariant with
respect to a metric on the state space which, having an associated Green
function, may be adapted to the special situation. In many cases, this also
implies continuity of harmonic functions and H\"older continuity of bounded
harmonic functions. The results apply to large classes of L\'evy (and similar)
processes.


title: Revealing quantum correlation by negativity of the Wigner function

abstract:
  We analyze two two-mode continuous variable separable states with the same
marginal states. We adopt the definition of classicality in the form of
well-defined positive Wigner function describing the state and find that
although the states possess positive local Wigner functions, they exhibit
negative Wigner functions for the global states. Using the negativity of Wigner
function as an indicator of nonclassicality, we show that despite these states
possess different negativities of the Wigner function, they do not reveal this
difference as phase space nonclassicalities such as negativity of the Mandel
$Q$ parameter or quadrature squeezing. We then concentrate on quantum
correlation of these states and show that quantum discord and local quantum
uncertainty, as two well-defined measures of quantum correlation, manifest the
difference between negativity of the Wigner functions. The non-Gaussianity of
these states is also examined and show that the difference in behavior of their
non-Gaussianity is the same as the difference between negativity of their
Wigner functions. We also investigate the influence of correlation rank
criterion and find that when the states can be produced locally from classical
states, the Wigner functions can not reveal their quantum correlations.


title:
Large-$N_{c}$ pole trajectories of the vector kaon $K^{\ast}(892) $ and
  of the scalar kaons $K_{0}^{\ast}(800)$ and $K_{0}^{\ast}(1430)$

abstract:
  We study the spectral functions, the poles and their trajectories for
increasing $N_{c}$ of the vector kaon state $K^{\ast}(892),$ characterized by
$I(J^{P})=\frac{1}{2}(1^{-})$, and of the scalar kaons $K_{0}^{\ast}(800)$ and
$K_{0}^{\ast}(1430),$ characterized by $I(J^{P})=\frac{1}{2}(0^{+})$. To this
end, we use relativistic QFT's Lagrangians with both derivative and
non-derivative terms. In the vector kaonic sector the spectral function is well
approximated by a Breit-Wigner function: there is one single peak and,
correspondingly, a single pole in the complex plane. On the contrary, in the
scalar sector, although the Lagrangian contains only one scalar kaonic field,
we find two poles, one corresponding to a standard quark-antiquark
,,seed\textquotedblright\ state $K_{0}^{\ast}(1430),$ and one to a
\textquotedblleft companion\textquotedblright\ dynamically generate pole
$K_{0}^{\ast}(800)$. The latter does not correspond to any peak in the scalar
kaonic spectral function, but only to an enhancement in the low-energy regime.


title:
Vortex-Core Charging Due to the Lorentz Force in a $d$-Wave
  Superconductor

abstract:
  We derive augmented quasiclassical equations of superconductivity with the
Lorentz force in the Matsubara formalism so that the charge redistribution due
to supercurrent can be calculated quantitatively. Using it, we obtain an
analytic expression for the vortex-core charge of an isolated vortex in extreme
type-II materials given in terms of the London penetration depth and the
equilibrium Hall coefficient. It depends strongly on the Fermi surface
curvature and gap anisotropy, and may change sign even as a function of
temperature due to the variation in the excitation curvature under the growing
energy gap. This is also confirmed in our numerical study of high-$T_{\rm c}$
superconductors.


title:
Speeds of light and mass stability in Stueckelberg-Horwitz-Piron
  electrodynamics

abstract:
  It is well-known that the 5D gauge structure of Stueckelberg-Horwitz-Piron
(SHP) electrodynamics permits the exchange of mass between particles and the
fields induced by their motion, even at the classical level. This phenomenon
presents two closely related problems: (1) What accounts for the stability of
the measured masses of the known particles? (2) Under what circumstances can
real particles evolve sufficiently off-shell to account for mass changing
phenomena such as flavor-changing neutrino interactions and low energy nuclear
reactions? To approach these questions, we introduce a constant $c_5$
associated with the invariant time $\tau$, in analogy with the constant $c$
that associates a unit of length with intervals of time $t$ in standard
relativity. It follows that electromagnetic mass exchange can be a small
effect, in proportion to $c_5 / c$. We show that this structure permits a
classical self-interaction that tends to restore on-shell propagation. Finally
we propose a model in which a particle evolving through a complex charged
environment can acquire a significant mass shift for a short time.


title:
Higher Groupoid Bundles, Higher Spaces, and Self-Dual Tensor Field
  Equations

abstract:
  We develop a description of higher gauge theory with higher groupoids as
gauge structure from first principles. This approach captures ordinary gauge
theories and gauged sigma models as well as their categorifications on a very
general class of (higher) spaces comprising presentable differentiable stacks,
as e.g. orbifolds. We start off with a self-contained review on simplicial sets
as models of $(\infty,1)$-categories. We then discuss principal bundles in
terms of simplicial maps and their homotopies. We explain in detail a
differentiation procedure, suggested by Severa, that maps higher groupoids to
$L_\infty$-algebroids. Generalising this procedure, we define connections for
higher groupoid bundles. As an application, we obtain six-dimensional
superconformal field theories via a Penrose-Ward transform of higher groupoid
bundles over a twistor space. This construction reduces the search for
non-Abelian self-dual tensor field equations in six dimensions to a search for
the appropriate (higher) gauge structure. The treatment aims to be accessible
to theoretical physicists.


title: Diphoton resonance at e+e- and photon colliders

abstract:
  In this note, I will review the opportunities offered by the hint of a new
resonance observed at LHC for future e+e- TeV linear collider (LC) projects.
This discussion is mainly influenced by two specific scenarios of physics which
assume either a (pseudo-)scalar or a tensor resonance, but these estimates can
be used in most scenarios. I envisage either a photon collider, which has a
guaranteed signal with the LHC observation, or a standard e+e- collider, more
straightforward to implement. After a detailed study of the heavy graviton
scenario, I conclude that at a TeV LC, high accuracy measurements, including
rare modes, allow to unambiguously establish the origin of this resonance. Also
envisaged in some detail is a radion scenario which illustrates the production
of a scalar. The role of an LC for precision measurements on Higgs and top
couplings is recalled in the context of the Randall Sundrum model.


title:
Anomalous Hall effect in Weyl semimetal half Heusler compounds RPtBi (R
  = Gd and Nd)

abstract:
  Topological materials ranging from topological insulators to Weyl and Dirac
semimetals form one of the most exciting current fields in condensed-matter
research. Many half-Heusler compounds, RPtBi (R= rare earth) have been
theoretically predicted to be topological semimetals. Among various topological
attributes envisaged in RPtBi, topological surface states, chiral anomaly and
planar Hall effect have been observed experimentally. Here, we report on an
unusual intrinsic anomalous Hall effect (AHE) in the antiferromagnetic Heusler
Weyl semimetal compounds GdPtBi and NdPtBi that is observed over a wide
temperature range. In particular, GdPtBi exhibits an anomalous Hall
conductivity of up to 60 ohm-1cm-1 and an anomalous Hall angle as large as 23%.
Muon spin resonance (mu-SR) studies of GdPtBi indicate a sharp
antiferromagnetic transition (T_N) at 9 K without any noticeable magnetic
correlations above T_N. Our studies indicate that Weyl points in these
half-Heuslers are induced by a magnetic field via exchange-splitting of the
electronic bands at or near to the Fermi energy which is the source of the
chiral anomaly and the AHE.


title:
Robust 3D Localization and Tracking of Sound Sources Using Beamforming
  and Particle Filtering

abstract:
  In this paper we present a new robust sound source localization and tracking
method using an array of eight microphones (US patent pending) . The method
uses a steered beamformer based on the reliability-weighted phase transform
(RWPHAT) along with a particle filter-based tracking algorithm. The proposed
system is able to estimate both the direction and the distance of the sources.
In a videoconferencing context, the direction was estimated with an accuracy
better than one degree while the distance was accurate within 10% RMS. Tracking
of up to three simultaneous moving speakers is demonstrated in a noisy
environment.


title: Information Utilization Ratio in Heuristic Optimization Algorithms

abstract:
  Heuristic algorithms are able to optimize objective functions efficiently
because they use intelligently the information about the objective functions.
Thus, information utilization is critical to the performance of heuristics.
However, the concept of information utilization has remained vague and abstract
because there is no reliable metric to reflect the extent to which the
information about the objective function is utilized by heuristic algorithms.
In this paper, the metric of information utilization ratio (IUR) is defined,
which is the ratio of the utilized information quantity over the acquired
information quantity in the search process. The IUR proves to be well-defined.
Several examples of typical heuristic algorithms are given to demonstrate the
procedure of calculating the IUR. Empirical evidences on the correlation
between the IUR and the performance of a heuristic are also provided. The IUR
can be an index of how finely an algorithm is designed and guide the invention
of new heuristics and the improvement of existing ones.


title:
Suppressing disease spreading by using information diffusion on
  multiplex networks

abstract:
  Although there is always an interplay between the dynamics of information
diffusion and disease spreading, the empirical research on the systemic
coevolution mechanisms connecting these two spreading dynamics is still
lacking. Here we investigate the coevolution mechanisms and dynamics between
information and disease spreading by utilizing real data and a proposed
spreading model on multiplex network. Our empirical analysis finds asymmetrical
interactions between the information and disease spreading dynamics. Our
results obtained from both the theoretical framework and extensive stochastic
numerical simulations suggest that an information outbreak can be triggered in
a communication network by its own spreading dynamics or by a disease outbreak
on a contact network, but that the disease threshold is not affected by
information spreading. Our key finding is that there is an optimal information
transmission rate that markedly suppresses the disease spreading. We find that
the time evolution of the dynamics in the proposed model qualitatively agrees
with the real-world spreading processes at the optimal information transmission
rate.


title:
The role of weakest links and system size scaling in multiscale modeling
  of stochastic plasticity

abstract:
  Plastic deformation of crystalline and amorphous matter often involves
intermittent local strain burst events. To understand the physical background
of the phenomenon a minimal stochastic mesoscopic model was introduced, where
microstructural details are represented by a fluctuating local yielding
threshold. In the present paper, we propose a method for determining this yield
stress distribution by lower scale discrete dislocation dynamics simulations
and using a weakest link argument. The success of scale-linking is demonstrated
on the stress-strain curves obtained by the resulting mesoscopic and the
discrete dislocation models. As shown by various scaling relations they are
statistically equivalent and behave identically in the thermodynamic limit. The
proposed technique is expected to be applicable for different microstructures
and amorphous materials, too.


title: Reversible k-valued logic circuits are finitely generated for odd k

abstract:
  In his 2003 paper "Towards an algebraic theory of Boolean circuits", Lafont
notes that the class of reversible circuits over a set of k truth values is
finitely generated when k is odd. He cites a private communication for the
proof. The purpose of this short note is to make the content of that
communication available.


title:
Dynamical corrections to the anomalous holographic softwall model: the
  pomeron and the odderon

abstract:
  In this work we use the holographic softwall AdS/QCD model with anomalous
dimension contributions coming from two different QCD beta functions to
calculate the masses of higher spin glueball states for both even and odd spins
and its respective Regge trajectories, related to the pomeron and the odderon,
respectively. We further investigate this model taking into account dynamical
corrections due to a dilaton potential consistent with Einstein equations in 5
dimensions. The results found in this work for the Regge trajectories within
the anomalous softwall model with dynamical corrections are consistent with
those presented in the literature.


title: Friction and Adhesion mediated by supramolecular host-guest complexes

abstract:
  The adhesive and frictional response of an AFM tip connected to a substrate
through supramolecular host-guest complexes is investigated by dynamic Monte
Carlo simulations. The variation of the pull-off force with the unloading rate
recently observed in experiments is here unraveled by evidencing a simultaneous
(progressive) break of the bonds at fast (slow) rates. The model reveals the
origin of the observed plateaus in the retraction force as a function of
tip-surface distance, showing that they ensue from the tip geometrical
features. In lateral sliding, the model exhibits a wide range of dynamic
behaviors ranging from smooth sliding to stick-slip at different velocities,
with the average friction force determined by the characteristic
formation/rupture rates of the complexes. In particular, it is shown that for
some molecular complexes friction can become almost constant over a wide range
of velocities. Also, we show the possibility to exploit ageing effect through
slide-hold-slide experiments, in order to infer the characteristic formation
rate. Finally, our model predicts a novel "anti-ageing" effect which is
characterized by a decrease of static friction force with the hold time. Such
effect is explained in terms of enhancement of adhesion during sliding,
especially observed at high driving velocities.


title: On particles in equilibrium on the real line

abstract:
  We study equilibrium configurations of infinitely many identical particles on
the real line or finitely many particles on the circle, such that the
(repelling) force they exert on each other depends only on their distance. The
main question is whether each equilibrium configuration needs to be an
arithmetic progression. Under very broad assumptions on the force we show this
for the particles on the circle. In the case of infinitely many particles on
the line we show the same result under the assumption that the maximal (or the
minimal) gap between successive points is finite (positive) and assumed at some
pair of successive points. Under the assumption of analyticity for the force
field (e.g., the Coulomb force) we deduce some extra rigidity for the
configuration: knowing an equilibrium configuration of points in a half-line
determines it throughout. Various properties of the equlibrium configuration
are proved.


title: Geometric Quantization of the Hitchin System

abstract:
  This paper is about geometric quantization of the Hitchin system. We quantize
a Kahler form on the Hitchin moduli space (which is half the first Kahler form
defined by Hitchin) by considering the Quillen bundle as the prequantum line
bundle and modifying the Quillen metric using the Higgs field so that the
curvature is proportional to the Kahler form. We show that this Kahler form is
integral and the Quillen bundle descends as a prequantum line bundle on the
moduli space. It is holomorphic and hence one can take holomorphic square
integrable sections as the Hilbert space of quantization of the Hitchin moduli
space.


title: Representing model inadequacy: A stochastic operator approach

abstract:
  Mathematical models of physical systems are subject to many uncertainties
such as measurement errors and uncertain initial and boundary conditions. After
accounting for these uncertainties, it is often revealed that discrepancies
between the model output and the observations remain; if so, the model is said
to be inadequate. In practice, the inadequate model may be the best that is
available or tractable, and so despite its inadequacy the model may be used to
make predictions of unobserved quantities. In this case, a representation of
the inadequacy is necessary, so the impact of the observed discrepancy can be
determined. We investigate this problem in the context of chemical kinetics and
propose a new technique to account for model inadequacy that is both
probabilistic and physically meaningful. A stochastic inadequacy operator
$\mathcal{S}$ is introduced which is embedded in the ODEs describing the
evolution of chemical species concentrations and which respects certain
physical constraints such as conservation laws. The parameters of $\mathcal{S}$
are governed by probability distributions, which in turn are characterized by a
set of hyperparameters. The model parameters and hyperparameters are calibrated
using high-dimensional hierarchical Bayesian inference. We apply the method to
a typical problem in chemical kinetics---the reaction mechanism of hydrogen
combustion.


title: Amplitude-Equalized Microwave C-Section

abstract:
  An active microwave C-section is proposed which provides a flat magnitude
transmission in a wide frequency band along with a frequency-dependent group
delay response considering practical dissipation losses. The key lies in
integrating a constant gain amplifier inside a microwave C-section, which
perfectly compensates the distributed conductor and dielectric losses of the
coupler, while preserving the intrinsic dispersion of the C-section. The
operation of the proposed device is confirmed using numerical analysis.


title:
Optimal DoF of the K-User Broadcast Channel with Delayed and Imperfect
  Current CSIT

abstract:
  This work studies the optimal Degrees-of-Freedom (DoF) of the $K$-User MISO
Broadcast Channel (BC) with delayed Channel-State Information at the
Transmitter (CSIT) and with additional current noisy CSIT where the current
channel estimation error scales in~$P^{-\alpha}$ for $\alpha\in[0,1]$. This
papers establishes for the first time the optimal DoF in this setting thanks to
a new transmission scheme which achieves the elusive DoF-optimal combining of
the Maddah-Ali and Tse scheme (MAT) introduced in their seminal work in $2010$
with Zero-Forcing (ZF) for an arbitrary number of users. The derived sum DoF
takes the surprisingly simple form $(1-\alpha) K/H_K+\alpha K$ where
$H_K\triangleq \sum_{k=1}^K \frac{1}{k}$ is the sum-DoF achieved using solely
MAT.


title:
The value function approach to convergence analysis in composite
  optimization

abstract:
  This works aims at understanding further convergence properties of first
order local search methods with complex geometries. We focus on the composite
optimization model which unifies within a simple formalism many problems of
this type. We provide a general convergence analysis of the composite
Gauss-Newton method under tameness assumptions (an extension of
semi-algebraicity). Tameness is a very general condition satisfied by virtually
all problems solved in practice. The analysis is based on recent progresses in
understanding convergence properties of sequential convex programming methods
through the value function.


title:
Correlated and Individual Multi-Modal Deep Learning for RGB-D Object
  Recognition

abstract:
  In this paper, we propose a new correlated and individual multi-modal deep
learning (CIMDL) method for RGB-D object recognition. Unlike most conventional
RGB-D object recognition methods which extract features from the RGB and depth
channels individually, our CIMDL jointly learns feature representations from
raw RGB-D data with a pair of deep neural networks, so that the sharable and
modal-specific information can be simultaneously exploited. Specifically, we
construct a pair of deep convolutional neural networks (CNNs) for the RGB and
depth data, and concatenate them at the top layer of the network with a loss
function which learns a new feature space where both correlated part and the
individual part of the RGB-D information are well modelled. The parameters of
the whole networks are updated by using the back-propagation criterion.
Experimental results on two widely used RGB-D object image benchmark datasets
clearly show that our method outperforms state-of-the-arts.


title:
A decomposition of equivariant K-theory in twisted equivariant
  K-theories

abstract:
  For G a finite group and X a G-space on which a normal subgroup A acts
trivially, we show that the G-equivariant K-theory of X decomposes as a direct
sum of twisted equivariant K-theories of X parametrized by the orbits of the
conjugation action of G on the irreducible representations of A. The twists are
group 2-cocycles which encode the obstruction of lifting an irreducible
representation of A to the subgroup of G which fixes the isomorphism class of
the irreducible representation.


title: KAM for the nonlinear beam equation

abstract:
  In this paper we prove a KAM theorem for small-amplitude solutions of the non
linear beam equation on the d-dimensional torus $$u_{tt}+\Delta^2 u+m u +
\partial_u G(x,u)=0\ ,\quad t\in { \mathbb{R}} , \; x\in \ { \mathbb{T}}^d,
\qquad \qquad (*) $$ where $G(x,u)=u^4+ O(u^5)$. Namely, we show that, for
generic $m$, many of the small amplitude invariant finite dimensional tori of
the linear equation $(*)_{G=0}$, written as the system $$ u_t=-v,\quad
v_t=\Delta^2 u+mu, $$ persist as invariant tori of the nonlinear equation
$(*)$, re-written similarly. The persisted tori are filled in with
time-quasiperiodic solutions of $(*)$. If $d\ge2$, then not all the persisted
tori are linearly stable, and we construct explicit examples of partially
hyperbolic invariant tori. The unstable invariant tori, situated in the
vicinity of the origin, create around them some local instabilities, in
agreement with the popular belief in the nonlinear physics that small-amplitude
solutions of space-multidimensional Hamiltonian PDEs behave in a chaotic way.


title: On the Number of Restricted Prime Factors of an Integer II

abstract:
  Given a partition $\{E_0,\ldots,E_n\}$ of the set of primes and a vector
$\mathbf{k} \in \mathbb{N}_0^{n+1}$, we compute an asymptotic formula for the
quantity $|\{m \leq x: \omega_{E_j}(m) = k_j \ \forall \ 0 \leq j \leq n\}|$
uniformly in a wide range of the parameters $k_j$ that complements the results
of a previous paper of the author. This is accomplished using an extension and
generalization of a theorem of Wirsing due to the author that gives explicit
estimates for the ratio $\frac{|M_g(x)|}{M_{f}(x)}$, whenever $f: \mathbb{N}
\rightarrow (0,\infty)$ and $g: \mathbb{N} \rightarrow \mathbb{C}$ are strongly
multiplicative functions that are uniformly bounded on primes and satisfy
$|g(n)| \leq f(n)$ for every $n \in \mathbb{N}$. This also allows us to
conclude the validity of a probabilistic heuristic regarding
$\pi(x;\mathbf{E},\mathbf{k})$ in the case that $k_j = (1+o(1))E_j(x)$, for
each $0 \leq j \leq n$.


title:
Deccoherent Histories and Measurement of Temporal Correlation Functions
  for Leggett-Garg Inequalities

abstract:
  We consider two protocols for the measurement of the temporal correlation
functions of a dichotomic variable Q appearing in Leggett-Garg type
inequalities. The protocols measure solely whether Q has the same or different
sign at the ends of a given time interval. They are inspired, in part, by a
decoherent histories analysis of the two-time histories of Q although the
protocols are ultimately expressed in macrorealistic form independent of
quantum theory. The first type involves an ancilla coupled to the system with
two sequential CNOT gates, and the two-time histories of the system are
determined in a single final time measurement of the ancilla. It is
non-invasive for special choices of initial system states and partially
invasive for more general choices. Modified Leggett-Garg type inequalities
which accommodate the partial invasiveness are discussed. The quantum picture
of the protocol shows that for certain choices of primary system initial state
the protocol is undetectable with respect to final system state measurements,
although it is still invasive at intermediate times. This invasiveness can be
reduced with different choices of ancilla states and the protocol is then
similar in flavour to a weak measurement. The second type of protocol is based
on the fact that the behaviour of Q over a time interval can be determined from
knowledge of the dynamics together with a measurement of certain initial (or
final) data. Its quantum version corresponds to the known fact that when sets
of histories are decoherent, their probabilities may be expressed in terms of a
record projector, hence the two-time histories in which Q has the same or
different sign can be determined by a single projective measurement. The
resulting protocol resembles the decay-type protocol proposed by Huelga and
collaborators (which is non-invasive but requires a stationarity assumption).


title: Local-existence for the Inhomogeneous Muskat problem

abstract:
  In this work we study the evolution of the interface between two different
fluids in a porous media with two different permeabilities. We prove local
existence in Sobolev spaces, when the free boundary is given by the
discontinuity among the densities and viscosities of the fluids.


title: Two and three particles interacting in a one-dimensional trap

abstract:
  We outline a procedure for using matrix mechanics to compute energy
eigenvalues and eigenstates for two and three interacting particles in a
confining trap, in one dimension. Such calculations can bridge a gap in the
undergraduate physics curriculum between single-particle and many-particle
quantum systems, and can also provide a pathway from standard quantum mechanics
course material to understanding current research on cold-atom systems. In
particular we illustrate the notion of "fermionization" and how it occurs not
only for the ground state in the presence of strong repulsive interactions, but
also for excited states, in both the strongly attractive and strongly repulsive
regimes.


title: A Survey on Bayesian Deep Learning

abstract:
  A comprehensive artificial intelligence system needs to not only perceive the
environment with different `senses' (e.g., seeing and hearing) but also infer
the world's conditional (or even causal) relations and corresponding
uncertainty. The past decade has seen major advances in many perception tasks
such as visual object recognition and speech recognition using deep learning
models. For higher-level inference, however, probabilistic graphical models
with their Bayesian nature are still more powerful and flexible. In recent
years, Bayesian deep learning has emerged as a unified probabilistic framework
to tightly integrate deep learning and Bayesian models. In this general
framework, the perception of text or images using deep learning can boost the
performance of higher-level inference and in turn, the feedback from the
inference process is able to enhance the perception of text or images. This
survey provides a comprehensive introduction to Bayesian deep learning and
reviews its recent applications on recommender systems, topic models, control,
etc. Besides, we also discuss the relationship and differences between Bayesian
deep learning and other related topics such as Bayesian treatment of neural
networks. For a constantly updating project page, please refer to
https://github.com/js05212/BayesianDeepLearning-Survey.


title: Lorentz symmetry and Very Long Baseline Interferometry

abstract:
  Lorentz symmetry violations can be described by an effective field theory
framework that contains both General Relativity and the Standard Model of
particle physics called the Standard-Model extension (SME). Recently, post-fit
analysis of Gravity Probe B and binary pulsars lead to an upper limit at the
$10^{-4}$ level on the time-time coefficient $\bar s^{TT}$ of the pure-gravity
sector of the minimal SME. In this work, we derive the observable of Very Long
Baseline Interferometry (VLBI) in SME and then we implement it into a real data
analysis code of geodetic VLBI observations. Analyzing all available
observations recorded since 1979, we compare estimates of $\bar s^{TT}$ and
errors obtained with various analysis schemes, including global estimations
over several time spans and with various Sun elongation cut-off angles, and
with analysis of radio source coordinate time series. We obtain a constraint on
$\bar s^{TT}=(-5\pm 8)\times 10^{-5}$, directly fitted to the observations and
improving by a factor 5 previous post-fit analysis estimates.


title:
"Grandeur in this view of life": N-body simulation models of the
  Galactic habitable zone

abstract:
  We present an isolated Milky Way-like simulation in GADGET2 N-body SPH code.
The Galactic disk star formation rate (SFR) surface densities and stellar mass
indicative of Solar neighbourhood are used as thresholds to model the
distribution of stellar mass in life friendly environments. SFR and stellar
component density are calculated averaging the GADGET2 particle properties on a
2D grid mapped on the Galactic plane. The peak values for possibly habitable
stellar mass surface density move from $10$ to $15$ kpc cylindrical
galactocentric distance in $10$ Gyr simulated time span. At $10$ Gyr the
simulation results imply the following. Stellar particles which have spent
almost all of their life time in habitable friendly conditions reside typically
at $\sim16$ kpc from Galactic centre and are $\sim 3$ Gyr old. Stellar
particles that have spent $\ge 90 \%$ of their $4-5$ Gyr long life time in
habitable friendly conditions, are also predominantly found in the outskirts of
the Galactic disk. Less then $1 \%$ of these particles can be found at a
typical Solar system galactocentric distance of $8-10$ kpc. Our results imply
that the evolution of an isolated spiral galaxy is likely to result in galactic
civilizations emerging at the outskirts of the galactic disk around stellar
hosts younger than the Sun.


title: The sensitivity of the Higgs boson branching ratios to the W boson width

abstract:
  The Higgs boson branching ratio into vector bosons is sensitive to the decay
widths of those vector bosons because they are produced with at least one boson
significantly off-shell. Gamma(H to V V ) is approximately proportional to the
product of the Higgs boson coupling and the vector boson width. Gamma Z is well
known, but Gamma W gives an uncertainty on Gamma(H to W W ) which is not
negligible. The ratio of branching ratios, BR(H to W W )/BR(H to ZZ) measured
by a combination of ATLAS and CMS at LHC is used herein to extract a width for
the W boson of Gamma W = 1.8+0.4-0.3 GeV by assuming Standard Model couplings
of the Higgs bosons. This dependence of the branching ratio on Gamma W is not
discussed in most Higgs boson coupling analyses.


title:
Record breaking bursts during the compressive failure of porous
  materials

abstract:
  An accurate understanding of the interplay between random and deterministic
processes in generating extreme events is of critical importance in many
fields, from forecasting extreme meteorological events to the catastrophic
failure of materials and in the Earth. Here we investigate the statistics of
record-breaking events in the time series of crackling noise generated by local
rupture events during the compressive failure of porous materials. The events
are generated by computer simulations of the uni-axial compression of
cylindrical samples in a discrete element model of sedimentary rocks that
closely resemble those of real experiments. The number of records grows
initially as a decelerating power law of the number of events, followed by an
acceleration immediately prior to failure. We demonstrate the existence of a
characteristic record rank k^* which separates the two regimes of the time
evolution. Up to this rank deceleration occurs due to the effect of random
disorder. Record breaking then accelerates towards macroscopic failure, when
physical interactions leading to spatial and temporal correlations dominate the
location and timing of local ruptures. Sub-sequences of bursts between
consecutive records are characterized by a power law size distribution with an
exponent which decreases as failure is approached. High rank records are
preceded by bursts of increasing size and waiting time between consecutive
events and they are followed by a relaxation process. As a reference, surrogate
time series are generated by reshuffling the crackling bursts. The record
statistics of the uncorrelated surrogates agrees very well with the
corresponding predictions of independent identically distributed random
variables, which confirms that the temporal and spatial correlation of cracking
bursts are responsible for the observed unique behaviour.


title:
Morrey spaces and classification of global solutions for a supercritical
  semilinear heat equation in $R^n$

abstract:
  We prove the boundedness of global classical solutions for the semilinear
heat equation $u_t-\Delta u= |u|^{p-1}u$ in the whole space $R^n$, with $n\ge
3$ and supercritical power $p>(n+2)/(n-2)$. This is proved {\rmb without any
radial symmetry or sign assumptions}, unlike in all the previously known
results for the Cauchy problem, and under spatial decay assumptions on the
initial data that are essentially optimal in view of the known
counter-examples. Moreover, we show that any global classical solution has to
decay in time faster than $t^{-1/(p-1)}$, which is also optimal and in contrast
with the subcritical case.
  The proof relies on nontrivial modifications of techniques developed by Chou,
Du and Zheng [Calc. Var. PDE 2007] and by Blatt and Struwe [IMRN, 2015] for the
case of convex bounded domains. They are based on weighted energy estimates of
Giga-Kohn type, combined with an analysis of the equation in a suitable Morrey
space. We in particular simplify the approach of Blatt and Struwe by
establishing and using a result on global existence and decay for small initial
data in the critical Morrey space $M^{2,4/(p-1)}(R^n)$, rather than
$\eps$-regularity in a parabolic Morrey space. This method actually works for
any convex, bounded or unbounded, smooth domain, but at the same time captures
some of the specific behaviors associated with the case of the whole space
$R^n$.
  As a consequence we also prove that the set of initial data producing global
solutions is open in suitable topologies, and we show that the so-called
"borderline" global weak solutions blow up in finite time and then become
classical again and decay as $t\to\infty$. All these results put into light the
key role played by the Morrey space $M^{2,4/(p-1)}$ in the understanding of the
structure of the set of global solutions for $p>p_S$.


title: Strong and ultra-strong coupling with free space radiation

abstract:
  Strong and ultra-strong light-matter coupling are remarkable phenomena of
quantum electrodynamics occurring when the interaction between a matter
excitation and the electromagnetic field cannot be described by usual
perturbation theory. This is generally achieved by coupling an excitation with
large oscillator strength to the confined electromagnetic mode of an optical
microcavity. In this work we demonstrate that strong/ultra-strong coupling can
also take place in the absence of optical confinement. We have studied the
non-perturbative spontaneous emission of collective excitations in a dense
two-dimensional electron gas that superradiantly decays into free space. By
using a quantum model based on the input-output formalism, we have derived the
linear optical properties of the coupled system and demonstrated that its
eigenstates are mixed light-matter particles, like in any system displaying
strong or ultra-strong light-matter interaction. Moreover, we have shown that
in the ultra-strong coupling regime, i.e. when the radiative broadening is
comparable to the matter excitation energy, the commonly used rotating-wave and
Markov approximations yield unphysical results. Finally, the input-output
formalism has allowed us to prove that Kirchhoff's law, describing thermal
emission properties, applies to our system in all the light-matter coupling
regimes considered in this work.


title: MSSM-like from $SU_{5}\times D_{4}$ Models

abstract:
  Using finite discrete group characters and symmetry breaking by hyperflux as
well as constraints on top- quark family, we study minimal low energy effective
theory following from SU$_{5}\times D_{4}$ models embedded in F-theory with non
abelian flux. Matter curves spectrum of the models is obtained from
SU$_{5}\times S_{5}$ theory with monodromy $S_{5}$ by performing two breakings;
first from symmetric group $S_{5}$ to $S_{4}$ subsymmetry; and next to dihedral
$D_{4}$ subgroup. As a consequence, and depending on the ways of decomposing
triplets of $S_{4}$, we end with three types of $D_{4}$- models. Explicit
constructions of these theories are given and a MSSM- like spectrum is derived.


title: Coends in conformal field theory

abstract:
  The idea of "summing over all intermediate states" that is central for
implementing locality in quantum systems can be realized by coend
constructions. In the concrete case of systems of conformal blocks for a
certain class of conformal vertex algebras, one deals with coends in functor
categories. Working with these coends involves quite a few subtleties which,
even though they have in principle already been understood twenty years ago,
have not been sufficiently appreciated by the conformal field theory community.