title:
Fourier algebras of hypergroups and central algebras on compact
  (quantum) groups

abstract:
  This paper concerns the study of regular Fourier hypergroups through
multipliers of their associated Fourier algebras. We establish hypergroup
analogues of well-known characterizations of group amenability, introduce a
notion of weak amenability for hypergroups, and show that every discrete
commutative hypergroup is weakly amenable with constant 1. Using similar
techniques, we provide a sufficient condition for amenability of hypergroup
Fourier algebras, which, as an immediate application, answers one direction of
a conjecture of Azimifard--Samei--Spronk [J. Funct. Anal. 256(5) 1544-1564,
2009] on the amenability of $ZL^1(G)$ for compact groups $G$. In the final
section we consider Fourier algebras of hypergroups arising from compact
quantum groups $\mathbb{G}$, and in particular, establish a completely
isometric isomorphism with the center of the quantum group algebra for compact
$\mathbb{G}$ of Kac type.


title:
How the Dark Energy Can Reconcile \textit{Planck} with Local
  Determination of the Hubble Constant

abstract:
  We try to reconcile the tension between the local 2.4\% determination of
Hubble constant and its global determination by $\textit{Planck}$ CMB data and
BAO data through modeling the dark energy variously. We find that the
chi-square is significantly reduced by $\Delta\chi^2_\text{all}=-6.76$ in the
redshift-binned dark energy model where the $68\%$ limits of the equation of
state of dark energy read $w(0\leq z\leq 0.1)=-1.958_{-0.508}^{+0.509}$,
$w(0.1< z\leq 1.5)=-1.006_{-0.082}^{+0.092}$, and here $w(z>1.5)$ is fixed to
$-1$.


title: Combination of affine deformations on a hyperbolic surface

abstract:
  This paper is a continuation of the previous paper of the author[M]. We show
that an affine deformation space of a hyperbolic surface of type (g,b) can be
parametrized by Margulis invariants and affine twist parameters with a certain
decomposition of the surface, which are associated with the Fenchel-Nielsen
coordinates in Teichmuller theory. W.Goldman and G.Margulis[GM] introduced that
a translation part of an affine deformation canonically corresponds to a
tangent vector on the Teichmuller space. By this correspondence, we explicitly
represent tangent vectors on the Teichmuller space from the perspective of
Lorentzian geometry, only when the tangent vectors correspond to
Fenchel-Nielsen twists along separating geodesic curves on a hyperbolic
surface.


title:
A Nonparametric Bayesian Approach for Spoken Term detection by Example
  Query

abstract:
  State of the art speech recognition systems use data-intensive
context-dependent phonemes as acoustic units. However, these approaches do not
translate well to low resourced languages where large amounts of training data
is not available. For such languages, automatic discovery of acoustic units is
critical. In this paper, we demonstrate the application of nonparametric
Bayesian models to acoustic unit discovery. We show that the discovered units
are correlated with phonemes and therefore are linguistically meaningful. We
also present a spoken term detection (STD) by example query algorithm based on
these automatically learned units. We show that our proposed system produces a
P@N of 61.2% and an EER of 13.95% on the TIMIT dataset. The improvement in the
EER is 5% while P@N is only slightly lower than the best reported system in the
literature.


title: Cancellation for 4-manifolds with virtually abelian fundamental group

abstract:
  Suppose $X$ and $Y$ are compact connected topological 4-manifolds with
fundamental group $\pi$. For any $r \geqslant 0$, $Y$ is $r$-stably
homeomorphic to $X$ if $Y \# r(S^2 \times S^2)$ is homeomorphic to $X \#
r(S^2\times S^2)$. How close is stable homeomorphism to homeomorphism?
  When the common fundamental group $\pi$ is virtually abelian, we show that
large $r$ can be diminished to $n+2$, where $\pi$ has a finite-index subgroup
that is free-abelian of rank $n$. In particular, if $\pi$ is finite then $n=0$,
hence $X$ and $Y$ are $2$-stably homeomorphic, which is one $S^2 \times S^2$
summand in excess of the cancellation theorem of Hambleton--Kreck.
  The last section is a case-study investigation of the homeomorphism
classification of closed manifolds in the tangential homotopy type of $X = X_-
\# X_+$, where $X_\pm$ are closed nonorientable topological 4-manifolds whose
fundamental groups have order two.


title: Yet Another Proof of the Entropy Power Inequality

abstract:
  Yet another simple proof of the entropy power inequality is given, which
avoids both the integration over a path of Gaussian perturbation and the use of
Young's inequality with sharp constant or R\'enyi entropies. The proof is based
on a simple change of variables, is formally identical in one and several
dimensions, and easily settles the equality case.


title: A new approach of couple fixed point results on JS-metric spaces

abstract:
  In this article, we study coupled fixed point theorems in newly appeared
JS-metric spaces. It is important to note that the class of JS-metric spaces
includes standard metric space, dislocated metric space, b-metric space etc.
The purpose of this paper is to present several coupled fixed point results in
a more general way. Moreover, the techniques used in our proofs are indeed
different from the comparable existing literature. Finally, we present a non-
trivial example to validate our main result.


title: Some experiments in number theory

abstract:
  We experiment with some topics in elementary number theory. For matrices
defined by Gaussian primes we observe a circular spectral law for the
eigenvalues. We look at matrices defined by Gaussian primes and look at the
growth of the determinant, trace. We experiment with various Goldbach
conjectures for Gaussian primes, Eisenstein primes, Hurwitz primes or Octavian
primes. These conjectures relate with Landau or Bunyakovsky or Andrica type
conjectures for rational primes. We also look at some graphs finite simple
defined by primes. Finally we look at some spectra of almost periodic pseudo
random matrices defined by Diophantine irrational rotations, where fractal
spectral phenomena occur. The matrix is the real part of a van der Monde
matrix.


title:
Resistivity scaling in metallic thin films and nanowires due to grain
  boundary and surface roughness scattering

abstract:
  A modeling approach, based on an analytical solution of the semiclassical
multi-subband Boltzmann transport equation, is presented to study resistivity
scaling in metallic thin films and nanowires due to grain boundary and surface
roughness scattering. While taking into account the detailed statistical
properties of grains, roughness and barrier material as well as the metallic
band structure and quantum mechanical aspects of scattering and confinement,
the model does not rely on phenomenological fitting parameters.


title: A New Parallel Algorithm for Two-Pass Connected Component Labeling

abstract:
  Connected Component Labeling (CCL) is an important step in pattern
recognition and image processing. It assigns labels to the pixels such that
adjacent pixels sharing the same features are assigned the same label.
Typically, CCL requires several passes over the data. We focus on two-pass
technique where each pixel is given a provisional label in the first pass
whereas an actual label is assigned in the second pass.
  We present a scalable parallel two-pass CCL algorithm, called PAREMSP, which
employs a scan strategy and the best union-find technique called REMSP, which
uses REM's algorithm for storing label equivalence information of pixels in a
2-D image. In the first pass, we divide the image among threads and each thread
runs the scan phase along with REMSP simultaneously. In the second phase, we
assign the final labels to the pixels. As REMSP is easily parallelizable, we
use the parallel version of REMSP for merging the pixels on the boundary. Our
experiments show the scalability of PAREMSP achieving speedups up to $20.1$
using $24$ cores on shared memory architecture using OpenMP for an image of
size $465.20$ MB. We find that our proposed parallel algorithm achieves linear
scaling for a large resolution fixed problem size as the number of processing
elements are increased. Additionally, the parallel algorithm does not make use
of any hardware specific routines, and thus is highly portable.


title:
Low Radio Frequency Observations and Spectral Modelling of the Remnant
  of Supernova 1987A

abstract:
  We present Murchison Widefield Array observations of the supernova remnant
(SNR) 1987A between 72 and 230 MHz, representing the lowest frequency
observations of the source to date. This large lever arm in frequency space
constrains the properties of the circumstellar medium created by the progenitor
of SNR 1987A when it was in its red supergiant phase. As of late-2013, the
radio spectrum of SNR 1987A between 72 MHz and 8.64 GHz does not show any
deviation from a non-thermal power-law with a spectral index of $-0.74 \pm
0.02$. This spectral index is consistent with that derived at higher
frequencies, beneath 100 GHz, and with a shock in its adiabatic phase. A
spectral turnover due to free-free absorption by the circumstellar medium has
to occur below 72 MHz, which places upper limits on the optical depth of $\leq$
0.1 at a reference frequency of 72 MHz, emission measure of $\lesssim$ 13,000
cm$^{-6}$ pc, and an electron density of $\lesssim$ 110 cm$^{-3}$. This upper
limit on the electron density is consistent with the detection of prompt radio
emission and models of the X-ray emission from the supernova. The electron
density upper limit implies that some hydrodynamic simulations derived a red
supergiant mass loss rate that is too high, or a wind velocity that is too low.
The mass loss rate of $\sim 5 \times 10^{-6}$ $M_{\odot}$ yr$^{-1}$ and wind
velocity of 10 km s$^{-1}$ obtained from optical observations are consistent
with our upper limits, predicting a current turnover frequency due to free-free
absorption between 5 and 60 MHz.


title: Cutwidth: obstructions and algorithmic aspects

abstract:
  Cutwidth is one of the classic layout parameters for graphs. It measures how
well one can order the vertices of a graph in a linear manner, so that the
maximum number of edges between any prefix and its complement suffix is
minimized. As graphs of cutwidth at most $k$ are closed under taking
immersions, the results of Robertson and Seymour imply that there is a finite
list of minimal immersion obstructions for admitting a cut layout of width at
most $k$. We prove that every minimal immersion obstruction for cutwidth at
most $k$ has size at most $2^{O(k^3\log k)}$.
  As an interesting algorithmic byproduct, we design a new fixed-parameter
algorithm for computing the cutwidth of a graph that runs in time $2^{O(k^2\log
k)}\cdot n$, where $k$ is the optimum width and $n$ is the number of vertices.
While being slower by a $\log k$-factor in the exponent than the fastest known
algorithm, given by Thilikos, Bodlaender, and Serna in [Cutwidth I: A linear
time fixed parameter algorithm, J. Algorithms, 56(1):1--24, 2005] and [Cutwidth
II: Algorithms for partial $w$-trees of bounded degree, J. Algorithms,
56(1):25--49, 2005], our algorithm has the advantage of being simpler and
self-contained; arguably, it explains better the combinatorics of optimum-width
layouts.


title: Solution to the Pompeiu problem and the related symmetry problem

abstract:
  Assume that $D\subset \mathbb{R}^3$ is a bounded domain with $C^1-$smooth
boundary. Our result is:
  {\bf Theorem 1.} {\em If $D$ has $P-$property, then $D$ is a ball.}
  Four equivalent formulations of the Pompeiu problem are discussed. A domain
$D$ has $P-$property if there exists an $f\neq 0$, $f\in
L^1_{loc}(\mathbb{R}^3)$ such that $\int_{D}f(gx+y)dx=0$ for all $y\in
\mathbb{R}^3$ and all $g\in SO(2)$, where $ SO(2)$ is the rotation group. The
result obtained concerning the related symmetry problem is:
  {\bf Theorem 2.} {\em If $(\nabla^2 +k^2)u=0$ in $D$, $u|_S=1$, $u_N|_S=0$,
and $k>0$ is a constant, then $D$ is a ball.}


title: The anti-proton charge radius

abstract:
  The upcoming operation of the Extra Low ENergy Antiprotons (ELENA) ring at
CERN, the upgrade of the anti-proton decelerator (AD), and the installation in
the AD hall of an intense slow positron beam with an expected flux of $10^{8}$
e$^+$/s will open the possibility for new experiments with anti-hydrogen
($\bar{\text{H}}$). Here we propose a scheme to measure the Lamb shift of
$\bar{\text{H}}$. For a month of data taking, we anticipate an uncertainty of
100 ppm. This will provide a test of CPT and the first determination of the
anti-proton charge radius at the level of 10%.


title: M3A: Model, MetaModel, and Anomaly Detection in Web Searches

abstract:
  'Alice' is submitting one web search per five minutes, for three hours in a
row - is it normal? How to detect abnormal search behaviors, among Alice and
other users? Is there any distinct pattern in Alice's (or other users') search
behavior? We studied what is probably the largest, publicly available, query
log that contains more than 30 million queries from 0.6 million users. In this
paper, we present a novel, user-and group-level framework, M3A: Model,
MetaModel and Anomaly detection. For each user, we discover and explain a
surprising, bi-modal pattern of the inter-arrival time (IAT) of landed queries
(queries with user click-through). Specifically, the model Camel-Log is
proposed to describe such an IAT distribution; we then notice the correlations
among its parameters at the group level. Thus, we further propose the metamodel
Meta-Click, to capture and explain the two-dimensional, heavy-tail distribution
of the parameters. Combining Camel-Log and Meta-Click, the proposed M3A has the
following strong points: (1) the accurate modeling of marginal IAT
distribution, (2) quantitative interpretations, and (3) anomaly detection.


title:
Strategic Bidding for Producers in Nodal Electricity Markets: A Convex
  Relaxation Approach

abstract:
  Strategic bidding problems in electricity markets are widely studied in power
systems, often by formulating complex bi-level optimization problems that are
hard to solve. The state-of-the-art approach to solve such problems is to
reformulate them as mixed-integer linear programs (MILPs). However, the
computational time of such MILP reformulations grows dramatically, once the
network size increases, scheduling horizon increases, or randomness is taken
into consideration. In this paper, we take a fundamentally different approach
and propose effective and customized convex programming tools to solve the
strategic bidding problem for producers in nodal electricity markets. Our
approach is inspired by the Schmudgen's Positivstellensatz Theorem in
semi-algebraic geometry; but then we go through several steps based upon both
convex optimization and mixed-integer programming that results in obtaining
close to optimal bidding solutions, as evidenced by several numerical case
studies, besides having a huge advantage on reducing computation time. While
the computation time of the state-of-the-art MILP approach grows exponentially
when we increase the scheduling horizon or the number of random scenarios, the
computation time of our approach increases rather linearly.


title: Consensus with Output Saturations

abstract:
  This paper consider a standard consensus algorithm under output saturations.
In the presence of output saturations, global consensus can not be realized due
to the existence of stable, unachievable equilibrium points for the consensus.
Therefore, this paper investigates necessary and sufficient initial conditions
for the achievement of consensus, that is an exact domain of attraction.
Specifically, this paper considers singe-integrator agents with both fixed and
time-varying undirected graphs, as well as double-integrator agents with fixed
undirected graph. Then, we derive that the consensus will be achieved if and
only if the average of the initial states (only velocities for
double-integrator agents with homogeneous saturation levels for the outputs) is
within the minimum saturation level. An extension to the case of fixed directed
graph is also provided in which an weighted average is required to be within
the minimum saturation limit.


title: Area products for ${\cal H}^{\pm}$ in AdS space

abstract:
  We derive the thermodynamic products particularly area (or entropy) products
of ${\cal H}^{\pm}$ for certain class of black holes in AdS space. We show by
explicit and exact calculations that more complicated function of event horizon
area and Cauchy horizon area is indeed mass-independent. This mass-independent
quantities indicate that they \emph{could turn out to be an "universal"
quantity} provided that they depends only on the quantized angular momentum,
quantized charges, and cosmological constant respectively. Furthermore, these
area (or entropy) product relations for several class of black holes in AdS
space gives us strong indication to understanding the nature of non-extremal
black hole entropy (both inner and outer) at the microscopic level. Moreover,
we compute the Penrose's famous \emph{Cosmic Censorship Inequality} (which
requires Cosmic-Censorship hypothesis) for these class of black holes in AdS
space . Local thermodynamic stability has been discussed for these black holes
and under certain condition certain black holes displayed second order phase
transition.


title:
Optimal Finite-Length and Asymptotic Index Codes for Five or Fewer
  Receivers

abstract:
  Index coding models broadcast networks in which a sender sends different
messages to different receivers simultaneously, where each receiver may know
some of the messages a priori. The aim is to find the minimum (normalised)
index codelength that the sender sends. This paper considers unicast index
coding, where each receiver requests exactly one message, and each message is
requested by exactly one receiver. Each unicast index-coding instances can be
fully described by a directed graph and vice versa, where each vertex
corresponds to one receiver. For any directed graph representing a unicast
index-coding instance, we show that if a maximum acyclic induced subgraph
(MAIS) is obtained by removing two or fewer vertices from the graph, then the
minimum index codelength equals the number of vertices in the MAIS, and linear
codes are optimal for the corresponding index-coding instance. Using this
result, we solved all unicast index-coding instances with up to five receivers,
which correspond to all graphs with up to five vertices. For 9819
non-isomorphic graphs among all graphs up to five vertices, we obtained the
minimum index codelength for all message alphabet sizes; for the remaining 28
graphs, we obtained the minimum index codelength if the message alphabet size
is $k^2$ for any positive integer $k$. This work complements the result by
Arbabjolfaei et al. (ISIT 2013), who solved all unicast index-coding instances
with up to five receivers in the asymptotic regime, where the message alphabet
size tends to infinity.


title:
Complex and Lagrangian surfaces of the complex projective plane via
  K\"ahlerian Killing Spin$^c$ spinors

abstract:
  The complex projective space $\mathbb C P^2$ of complex dimension $2$ has a
Spin$^c$ structure carrying K\"ahlerian Killing spinors. The restriction of one
of these K\"ahlerian Killing spinors to a surface $M^2$ characterizes the
isometric immersion of $M^2$ into $\mathbb C P^2$ if the immersion is either
Lagrangian or complex.


title:
Temperature dependence of anisotropic thermal conductivity tensor of
  bulk black phosphorus

abstract:
  To date, the intrinsic thermal conductivity tensor of bulk black phosphorus
(BP), an important 2D material, is still unknown, since recent studies focus on
BP flakes not on bulk BP. Here we report the anisotropic thermal conductivity
tensor of bulk BP, for temperature range 80 - 300 K. Our measurements are
similar to prior measurements on submicron BP flakes along zigzag and armchair
axes, but are >25% higher in the through-plane axis, suggesting that phonon
mean-free-paths are substantially longer in the through-plane direction. We
find that despite the anisotropy in thermal conductivity, phonons are
predominantly scattered by the same Umklapp processes in all directions. We
also find that the phonon relaxation time is rather isotropic in the basal
planes, but is highly anisotropic in the through-plane direction. Our work
advances fundamental knowledge of anisotropic scattering of phonons in BP and
is an important benchmark for future studies on thermal properties of BP
nanostructures.


title: Multipole structure of compact objects

abstract:
  We analyze the applications of general relativity in relativistic
astrophysics in order to solve the problem of describing the geometric and
physical properties of the interior and exterior gravitational and
electromagnetic fields of compact objects. We focus on the interpretation of
exact solutions of Einstein's equations in terms of their multipole moments
structure. In view of the lack of physical interior solutions, we propose an
alternative approach in which higher multipoles should be taken into account.


title:
Asymmetric Pt/Co/Pt structure as a platform for extracting pure spin
  Hall torque

abstract:
  We have quantitatively studied the spin-orbit torque purely generated by the
spin Hall effect in a wide range of temperatures by intensionally eliminating
the Rashba spin-orbit torque using Pt/Co/Pt trilayers with asymmetric
thicknesses of the top and bottom Pt layers. The vanishingly small contribution
from the Rashba effect has been confirmed through the vector measurements of
the current-induced effective fields. In order to precisely determine the value
of the spin Hall torque, the complete cancelation of the spin Hall torque has
been verified by fabricating symmetric Pt/Co/Pt structure on SiO2 and Gd3Ga5O12
(GGG) substrates. Despite of the complete cance- lation on the GGG substrate,
the spin Hall torque cannot be completely canceled out even when the top and
bottom Pt layers have same thicknesses on the SiO2 substrate, which suggests
that Pt/Co/Pt trilayers on a GGG substrate is a suitable system for precise
measurements of the spin Hall torque. The result of the vector measurements on
Pt/Co/Pt/GGG from 300 to 10 K shows that the spin Hall torque is almost
independent of temperature, which is quantitatively reproduced under the
assumption of the temperature-independent spin Hall angle of Pt.


title: Simplifying the Kohlberg Criterion on the Nucleolus

abstract:
  The nucleolus offers a desirable payoff-sharing solution in cooperative games
thanks to its attractive properties - it always exists and lies in the core (if
the core is non-empty), and is unique. Although computing the nucleolus is very
challenging, the Kohlberg criterion offers a powerful method for verifying
whether a solution is the nucleolus in relatively small games (i.e., the number
of players $n \leq 20$). This, however, becomes more challenging for larger
games because of the need to form and check the balancedness of possibly
exponentially large sets of coalitions, each set could be of an exponentially
large size. We develop a simplifying set of the Kohlberg criteria that involves
checking the balancedness of at most $(n-1)$ sets of coalitions. We also
provide a method for reducing the size of these sets and a fast algorithm for
verifying the balancedness.


title: Continuum directions for supervised dimension reduction

abstract:
  Dimension reduction of multivariate data supervised by auxiliary information
is considered. A series of basis for dimension reduction is obtained as
minimizers of a novel criterion. The proposed method is akin to continuum
regression, and the resulting basis is called continuum directions. With a
presence of binary supervision data, these directions continuously bridge the
principal component, mean difference and linear discriminant directions, thus
ranging from unsupervised to fully supervised dimension reduction.
High-dimensional asymptotic studies of continuum directions for binary
supervision reveal several interesting facts. The conditions under which the
sample continuum directions are inconsistent, but their classification
performance is good, are specified. While the proposed method can be directly
used for binary and multi-category classification, its generalizations to
incorporate any form of auxiliary data are also presented. The proposed method
enjoys fast computation, and the performance is better or on par with more
computer-intensive alternatives.


title: F-index of Total Transformation Graphs

abstract:
  The F-index of a graph $G$ is the sum of the cubes of the degrees of the
vertices of $G$. In this paper, explicit expressions for the F-index of
different transformation graphs of type ${{G}^{xyz}}$ with $x, y, z\in \{-, +
\}$ are obtained. F-index for semitotal point graph and semitotal line graph
are also obtained here.


title:
A New Training Method for Feedforward Neural Networks Based on Geometric
  Contraction Property of Activation Functions

abstract:
  We propose a new training method for a feedforward neural network having the
activation functions with the geometric contraction property. The method
consists of constructing a new functional that is less nonlinear in comparison
with the classical functional by removing the nonlinearity of the activation
function from the output layer. We validate this new method by a series of
experiments that show an improved learning speed and better classification
error.


title: Modeling and Self-Configuring SaaS Application

abstract:
  The main objectives of SaaS application are to make the management and
control of software easier and take the management strain away from consumers.
However, it also leads to software services available globally and this has
been realized in our paper by designing a new model for SaaS application. The
three levels we have classified in our model easy adapted to workflow and
services. From the application layers meat-model description we discovered a
new algorithm for the self-configuration of SaaS application. We used a feature
model to define the variation of our model's management levels. The Xml file
obtained from the feature model gave interactive communication between three
levels and our new self-configuration algorithm. That increased the performance
by selecting from the web a suitable configuration for every level. We have
explained all the processes by an online booking example. Finally we present a
conclusion and future work.


title: Recollements and stratifying ideals

abstract:
  Surjective homological epimorphisms with stratifying kernel can be used to
construct recollements of derived module categories. These `stratifying'
recollements are derived from recollements of module categories. Can every
recollement be put in this form, up to equivalence? A negative answer will be
given after providing a characterisation of recollements equivalent to
stratifying ones. Moreover, criteria for a ring epimorphism to be `stratifying'
will be presented as well as constructions of such epimorphisms.


title: On some study of the Fine Spectra of $n$-th band triangular matrices

abstract:
  It has been observed that for the 2nd and 3rd band lower triangular matrices
$B(r,s)$ and $B(r,s,t)$, only the boundary of the spectrum gives the continuous
spectrum while the rest of the entire interior region gives the residual
spectrum over the sequence spaces $c_0$, $l_p$ and $bv_p$. The main focus of
our present study is to investigate the possibilities of the occurrence of the
similar kinds of behavior for the cases of $n (\ge4)$ band lower triangular
matrices over the sequence spaces $c_0$, $l_p$ and $bv_p$. The outcomes depicts
that not only the boundary part but a finite set from the interior region of
the spectrum is included in the continuous spectrum while the same set is
excluded from the residual spectrum. In this context, we have proved an
interesting result regarding the image of the closed unit disk $|z|\le 1$ under
a polynomial of degree $n\ge 1$ which plays the key role in our study. Similar
studies has also been done for the sequence spaces $c$, $l_1$, $bv$ and
$l_\infty$. Upper triangular matrices has also been investigated for some
sequence spaces.


title:
The Role of CNL and AMR in Scalable Abstractive Summarization for
  Multilingual Media Monitoring

abstract:
  In the era of Big Data and Deep Learning, there is a common view that machine
learning approaches are the only way to cope with the robust and scalable
information extraction and summarization. It has been recently proposed that
the CNL approach could be scaled up, building on the concept of embedded CNL
and, thus, allowing for CNL-based information extraction from e.g. normative or
medical texts that are rather controlled by nature but still infringe the
boundaries of CNL. Although it is arguable if CNL can be exploited to approach
the robust wide-coverage semantic parsing for use cases like media monitoring,
its potential becomes much more obvious in the opposite direction: generation
of story highlights from the summarized AMR graphs, which is in the focus of
this position paper.


title:
MeDICINE: Rapid Prototyping of Production-Ready Network Services in
  Multi-PoP Environments

abstract:
  Virtualized network services consisting of multiple individual network
functions are already today deployed across multiple sites, so called multi-PoP
(points of presence) environ- ments. This allows to improve service performance
by optimizing its placement in the network. But prototyping and testing of
these complex distributed software systems becomes extremely challenging. The
reason is that not only the network service as such has to be tested but also
its integration with management and orchestration systems. Existing solutions,
like simulators, basic network emulators, or local cloud testbeds, do not
support all aspects of these tasks. To this end, we introduce MeDICINE, a novel
NFV prototyping platform that is able to execute production-ready network func-
tions, provided as software containers, in an emulated multi-PoP environment.
These network functions can be controlled by any third-party management and
orchestration system that connects to our platform through standard interfaces.
Based on this, a developer can use our platform to prototype and test complex
network services in a realistic environment running on his laptop.


title: On the boundary of the numerical range of some Jacobi operators

abstract:
  In this paper, we study the numerical range of Jacobi operators and it is
shown that under certain conditions, the boundary of the numerical range of
these operators can be non-round only at the points where it touches the
essential spectrum. It is further shown that these points cannot be the
eigenvalue of the Jacobi operators.


title:
Mass and angular momentum of black holes in 3D gravity theories with
  first order formalism

abstract:
  We apply the Wald formalism to obtain masses and angular momenta of black
holes in three dimensional gravity theories using the first order formalism.
Wald formalism suggests that the entropy of a black hole can be defined by an
integration of a conserved charge on the bifurcation horizon, and mass and
angular momentum of a black hole as an integration of some charge variation
form at spatial infinity. The action of three dimensional gravity theories can
be represented by a form including some auxiliary fields. As well-known
examples we have calculated masses and angular momenta of some black holes in
topologically massive gravity and new massive gravity theories using the first
order formalism. We have also calculated mass and angular momentum of BTZ black
hole and new type black hole in minimal massive gravity theory with the action
represented by the first order formalism. We have also calculated the entropy
and central charges of new type black hole. According to $AdS/CFT$
correspondence we suggest that the left and right moving temperatures should be
equal to the Hawking temperature in the case of new type black hole in minimal
massive gravity.


title: Boundary Arm Exponents for SLE$(\kappa)$

abstract:
  We derive boundary arm exponents for SLE. Combining with the convergence of
critical lattice models to SLE, these exponents would give the alternating
half-plane arm exponents for the corresponding lattice models.


title: On the structure of spaces of vector-valued Lipschitz functions

abstract:
  We analyse the strong connections between spaces of vector-valued Lipschitz
functions and spaces of linear continuous operators. We apply these links to
study duality, Schur properties and norm attainment in the former class of
spaces as well as in their canonical preduals


title: An induced real quaternion spherical ensemble of random matrices

abstract:
  We study the induced spherical ensemble of non-Hermitian matrices with real
quaternion entries (considering each quaternion as a $2\times 2$ complex
matrix). We define the ensemble by the matrix probability distribution function
that is proportional to $$\frac{\det (\mathbf{G} \mathbf{G}^{\dagger})^{2 L}}
{\det(1_N+ \mathbf{G} \mathbf{G}^{\dagger})^{2(n+N+L)}}.$$ These matrices can
also be constructed via a procedure called `inducing', using a product of a
Wishart matrix (with parameters $n,N$) and a rectangular Ginibre matrix of size
$(N+L)\times N$. The inducing procedure imposes a repulsion of eigenvalues from
$0$ and $\infty$ in the complex plane, with the effect that in the limit of
large matrix dimension, they lie in an annulus whose inner and outer radii
depend on the relative size of $L$, $n$ and $N$.
  By using functional differentiation of a generalized partition function, we
make use of skew-orthogonal polynomials to find expressions for the eigenvalue
$m$-point correlation functions, and in particular the eigenvalue density
(given by $m=1$).
  We find the scaled limits of the density in the bulk (away from the real
line) as well as near the inner and outer annular radii, in the four regimes
corresponding to large or small values of $n$ and $L$. After a stereographic
projection the density is uniform on a spherical annulus, except for a
depletion of eigenvalues on a great circle corresponding to the real axis (as
expected for a real quaternion ensemble). We also form a conjecture for the
behaviour of the density near the real line based on analogous results in the
$\beta=1$ and $\beta=2$ ensembles; we support our conjecture with data from
Monte Carlo simulations of a large number of matrices drawn from the $\beta=4$
induced spherical ensemble.


title:
The Evolution of Advanced Merger (U)LIRGs on the Color-Stellar Mass
  Diagram

abstract:
  Based on a sample of 79 local advanced merger (adv-merger) (U)LIRGs, we
search for the evidence of quenching process by investigating the distributions
of the star formation history indicators (EW(H$\alpha$), EW(H$\delta$$_A$) and
D$_n(4000)$) on the NUV-r color-mass and SFR-$M_{\ast}$ diagrams. The
distributions of the EW(H$\alpha$) and D$_n(4000)$ on the NUV-r color-mass
diagram show clear trends that at a given stellar mass, galaxies with redder
NUV-r colors have smaller EW(H$\alpha$) and larger D$_n(4000)$. The reddest
adv-merger (U)LIRGs close to the green valley have D$_n(4000)$$>1.4$ mostly. In
addition, in the SFR-$M_{\ast}$ diagram, as the SFR decreases, the
EW(H$\alpha$) decreases and the D$_n(4000)$ increases, implying that the
adv-merger (U)LIRGs on the star formation main sequence have more evolved
stellar populations than those above the main sequence. These results indicate
that a fraction of the adv-merger (U)LIRGs have already exhibited signs of
fading from the starburst phase and that the NUV-r reddest adv-merger (U)LIRGs
are likely at the initial stage of post-starbursts with age of $\sim 1$ Gyr,
which is consistent with the gas exhausting time-scales. Therefore, our results
offer additional support for the fast evolutionary track from the blue cloud to
the red sequence.


title:
Coupled cluster method with single and double excitations tailored by
  matrix product state wave functions

abstract:
  In the last decade, the quantum chemical version of the density matrix
renormalization group (DMRG) method has established itself as the method of
choice for calculations of strongly correlated molecular systems. Despite its
favourable scaling, it is in practice not suitable for computations of dynamic
correlation. We present a novel method for accurate "post-DMRG" treatment of
dynamic correlation based on the tailored coupled cluster (CC) theory in which
the DMRG method is responsible for the proper description of non-dynamic
correlation, whereas dynamic correlation is incorporated through the framework
of the CC theory. We illustrate the potential of this method on prominent
multireference systems, in particular N$_2$, Cr$_2$ molecules and also
oxo-Mn(Salen) for which we have performed the first "post-DMRG" computations in
order to shed light on the energy ordering of the lowest spin states.


title: Using String Invariants for Prediction Searching for Optimal Parameters

abstract:
  We have developed a novel prediction method based on string invariants. The
method does not require learning but a small set of parameters must be set to
achieve optimal performance. We have implemented an evolutionary algorithm for
the parametric optimization. We have tested the performance of the method on
artificial and real world data and compared the performance to statistical
methods and to a number of artificial intelligence methods. We have used data
and the results of a prediction competition as a benchmark. The results show
that the method performs well in single step prediction but the methods
performance for multiple step prediction needs to be improved. The method works
well for a wide range of parameters.


title:
Amenable crossed product Banach algebras associated with a class of
  $\mathrm{C}^\ast$-dynamical systems

abstract:
  We prove that the crossed product Banach algebra $\ell^1(A,G,\alpha)$ that is
associated with a $\mathrm{C}^\ast$-dynamical system $(A,G,\alpha)$ is amenable
if $G$ is a discrete amenable group and $A$ is a commutative or finite
dimensional $\mathrm{C}^\ast$-algebra. Perspectives for further developments
are indicated.


title: On the dependent conjunction and implication

abstract:
  We give a theoretical model of conjunctions $E\wedge F$ and implications
$E\implies F$ where $F$ is meaningful only when $E$ is true, a situation which
is very often encountered in everyday mathematics, and which was already
formalized by several type theorists. We present a version of these concepts
which should be more attractive for mathematicians and in particular for non
logicians, by using an extension of Lawvere's definition of the quantifiers. We
explain the link of this phenomenon with the principle of description, why this
dependency is obtained through the use of a "hidden" variable, and more
generally the link of these concepts with the vernacular language of
mathematics, which is actually our main motivation. Despite its links with
topos theory, this article is readable by non specialists.


title: Bayesian constraints on the global 21-cm signal from the Cosmic Dawn

abstract:
  The birth of the first luminous sources and the ensuing epoch of reionization
are best studied via the redshifted 21-cm emission line, the signature of the
first two imprinting the last. In this work we present a fully-Bayesian method,
\textsc{hibayes}, for extracting the faint, global (sky-averaged) 21-cm signal
from the much brighter foreground emission. We show that a simplified (but
plausible), Gaussian model of the 21-cm emission from the Cosmic Dawn epoch
($15 \lesssim z \lesssim 30$), parameterized by an amplitude $A_{\rm HI}$, a
frequency peak $\nu_{\rm HI}$ and a width $\sigma_{\rm HI}$, can be extracted
even in the presence of a structured foreground frequency spectrum
(parameterized as a $7^{\rm th}$-order polynomial), provided sufficient
signal-to-noise (400~hours of observation with a single dipole). We apply our
method to an early, 19-minute long observation from the Large aperture
Experiment to detect the Dark Ages, constraining the 21-cm signal amplitude and
width to be $-890 < A_{\rm HI} < 0$ mK and $\sigma_{\rm HI} > 6.5$ MHz
(corresponding to $\Delta z > 1.9$ at redshift $z \simeq 20$) respectively at
the 95-per-cent confidence level in the range $13.2 < z < 27.4$ ($100 > \nu >
50$ MHz).


title: Perfect Fingerprint Orientation Fields by Locally Adaptive Global Models

abstract:
  Fingerprint recognition is widely used for verification and identification in
many commercial, governmental and forensic applications. The orientation field
(OF) plays an important role at various processing stages in fingerprint
recognition systems. OFs are used for image enhancement, fingerprint alignment,
for fingerprint liveness detection, fingerprint alteration detection and
fingerprint matching. In this paper, a novel approach is presented to globally
model an OF combined with locally adaptive methods. We show that this model
adapts perfectly to the 'true OF' in the limit. This perfect OF is described by
a small number of parameters with straightforward geometric interpretation.
Applications are manifold: Quick expert marking of very poor quality (for
instance latent) OFs, high fidelity low parameter OF compression and a direct
road to ground truth OFs markings for large databases, say. In this
contribution we describe an algorithm to perfectly estimate OF parameters
automatically or semi-automatically, depending on image quality, and we
establish the main underlying claim of high fidelity low parameter OF
compression.


title:
Contrast and phase-shift of a trapped atom interferometer using a
  thermal ensemble with internal state labelling

abstract:
  We report a theoretical study of a double-well Ramsey interferometer using
internal state labelling. We consider the use of a thermal ensemble of cold
atoms rather than a Bose-Einstein condensate to minimize the effects of atomic
interactions. To maintain a satisfactory level of coherence in this case, a
high degree of symmetry is required between the two arms of the interferometer.
Assuming that the splitting and recombination processes are adiabatic, we
theoretically derive the phase-shift and the contrast of such an interferometer
in the presence of gravity or an acceleration field. We also consider using a
"shortcut to adiabaticity" protocol to speed up the splitting process and
discuss how such a procedure affects the phase shift and contrast. We find that
the two procedures lead to phase-shifts of the same form.


title:
Hofstadter butterfly in the Falicov-Kimball model on some finite 2D
  lattices

abstract:
  Spinless, interacting electrons on a finite size triangular lattice moving in
an extremely strong perpendicular magnetic field are studied and compared with
the results on a square lattice. Using a Falicov-Kimball model, the effects of
the magnetic field, Coulomb correlation and finite system size on their energy
spectrum are observed. It is possible to induce a gap in the spectrum by tuning
the magnetic field even in the absence of correlation, though extra states
appear in the gap due to finite size. An orbital current is calculated for both
the square and triangular lattice with and without electron correlation. In the
noninteracting limit, the bulk current shows several patterns, while the edge
current shows oscillations with magnetic flux. The oscillations persist in the
interacting limit for the square lattice but not for the triangular lattice.
Using exact diagonalization techniques, the recursive structure of Hofstadter
spectrum is examined with strong electronic correlations for different system
sizes. Electronic correlation is found to suppress these extra states in the
gap in some cases.


title: The Moments of L\'evy's area using a sticky shuffle Hopf algebra

abstract:
  L\'evy's stochastic area for planar Brownian motion is the difference of two
iterated integrals of second rank against its component one-dimen\-sional
Brownian motions. Such iterated integrals can be multiplied using the sticky
shuffle product determined by the underlying It\^o algebra of stochastic
differentials. We use combinatorial enumerations that arise from the
distributive law in the corresponding Hopf algebra structure to evaluate the
moments of L\'evy's area. These L\'evy moments are well known to be given
essentially by the Euler numbers. This has recently been confirmed in a novel
combinatorial approach by Levin and Wildon. Our combinatorial calculations
considerably simplify their approach.


title: A new class of graphs that satisfies the Chen-Chv\'atal Conjecture

abstract:
  A well-known combinatorial theorem says that a set of n non-collinear points
in the plane determines at least n distinct lines. Chen and Chv\'atal
conjectured that this theorem extends to metric spaces, with an appropriated
definition of line. In this work we prove a slightly stronger version of Chen
and Chv\'atal conjecture for a family of graphs containing chordal graphs and
distance-hereditary graphs.


title:
Quantitative Harris type theorems for diffusions and McKean-Vlasov
  processes

abstract:
  We consider $\mathbb{R}^d$-valued diffusion processes of type
  \begin{align*}
  dX_t\ =\ b(X_t)dt\, +\, dB_t.
  \end{align*} Assuming a geometric drift condition, we establish contractions
of the transitions kernels in Kantorovich ($L^1$ Wasserstein) distances with
explicit constants. Our results are in the spirit of Hairer and Mattingly's
extension of Harris' Theorem. In particular, they do not rely on a small set
condition. Instead we combine Lyapunov functions with reflection coupling and
concave distance functions. We retrieve constants that are explicit in
parameters which can be computed with little effort from one-sided Lipschitz
conditions for the drift coefficient and the growth of a chosen Lyapunov
function. Consequences include exponential convergence in weighted total
variation norms, gradient bounds, bounds for ergodic averages, and Kantorovich
contractions for nonlinear McKean-Vlasov diffusions in the case of sufficiently
weak but not necessarily bounded nonlinearities. We also establish quantitative
bounds for sub-geometric ergodicity assuming a sub-geometric drift condition.


title:
Effective realization of random magnetic fields in compounds with large
  single-ion anisotropy

abstract:
  We show that spin $S=1$ system with large and random single--ion anisotropy
can be at low energies mapped to a $S=1/2$ system with random magnetic fields.
This is for example realized in
\mbox{Ni(Cl$_{1-x}$Br$_{x}$)$_2$-4SC(NH$_2$)$_2$} compound (DTNX) and therefore
it represents a long sought realization of random local (on-site) magnetic
fields in antiferromagnetic systems. We support the mapping by numerical study
of $S=1$ and effective $S=1/2$ anisotropic Heisenberg chains and find excellent
agreement for static quantities and also for the spin conductivity. Such
systems can therefore be used to study the effects of local random magnetic
fields on transport properties.


title:
An Efficient Robust Solution to the Two-Stage Stochastic Unit Commitment
  Problem

abstract:
  This paper proposes a reformulation of the scenario-based two-stage unit
commitment problem under uncertainty that allows finding unit-commitment plans
that perform reasonably well both in expectation and for the worst case
realization of the uncertainties. The proposed reformulation is based on
partitioning the sample space of the uncertain factors by clustering the
scenarios that approximate their probability distributions. It is, furthermore,
very amenable to decomposition and parallelization using a
column-and-constraint generation procedure.


title:
Factorization of differential expansion for antiparallel double-braid
  knots

abstract:
  Continuing the quest for exclusive Racah matrices, which are needed for
evaluation of colored arborescent-knot polynomials in Chern-Simons theory, we
suggest to extract them from a new kind of a double-evolution -- that of the
antiparallel double-braids, which is a simple two-parametric family of
two-bridge knots, generalizing the one-parametric family of twist knots. In the
case of rectangular representations $R=[r^s]$ we found an evidence that the
corresponding differential expansion miraculously factorizes and can be
obtained from that for the twist knots. This reduces the problem of rectangular
exclusive Racah to constructing the answers for just a few twist knots. We
develop a recent conjecture on the structure of differential expansion for the
simplest members of this family (the trefoil and the figure-eight knot) and
provide the exhaustive answer for the first unknown case of $R=[33]$. The
answer includes HOMFLY of arbitrary twist and double-braid knots and Racah
matrices $\bar S$ and $S$ -- what allows to calculate $[33]$-colored
polynomials for arbitrary arborescent (double-fat) knots. For generic
rectangular representations described in detail are only the contributions of
the single- and two-floor pyramids, the way to proceed is explicitly
illustrated by the examples of $R=[44]$ and $R=[55]$. This solves the difficult
part of the problem, but the last tedious step towards explicit formulas for
generic exclusive rectangular Racah matrices still remains to be made.


title:
Line shapes and time dynamics of the F\"orster resonances between two
  Rydberg atoms in a time-varying electric field

abstract:
  The observation of the Stark-tuned F\"orster resonances between Rydberg atoms
excited by narrowband cw laser radiation requires usage of a Stark-switching
technique in order to excite the atoms first in a fixed electric field and then
to induce the interactions in a varied electric field, which is scanned across
the F\"orster resonance. In our experiments with a few cold Rb Rydberg atoms we
have found that the transients at the edges of the electric pulses strongly
affect the line shapes of the F\"orster resonances, since the population
transfer at the resonances occurs on a time scale of $\sim$100 ns, which is
comparable with the duration of the transients. For example, a short-term
ringing at a certain frequency causes additional radio-frequency-assisted
F\"orster resonances, while non-sharp edges lead to asymmetry. The intentional
application of the radio-frequency field induces transitions between collective
states, whose line shape depends on the interaction strengths and time. Spatial
averaging over the atom positions in a single interaction volume yields a
cusped line shape of the F\"orster resonance. We present a detailed
experimental and theoretical analysis of the line shape and time dynamics of
the Stark-tuned F\"orster resonances ${\rm Rb}(nP_{3/2} )+{\rm Rb}(nP_{3/2}
)\to {\rm Rb}(nS_{1/2} )+{\rm Rb}([n+1]S_{1/2} )$ for two Rb Rydberg atoms
interacting in a time-varying electric field.


title: A time warping approach to multiple sequence alignment

abstract:
  We propose an approach for multiple sequence alignment (MSA) derived from the
dynamic time warping viewpoint and recent techniques of curve synchronization
developed in the context of functional data analysis. Starting from pairwise
alignments of all the sequences (viewed as paths in a certain space), we
construct a median path that represents the MSA we are looking for. We
establish a proof of concept that our method could be an interesting ingredient
to include into refined MSA techniques. We present a simple synthetic
experiment as well as the study of a benchmark dataset, together with
comparisons with 2 widely used MSA softwares.


title:
Multigap superconductivity and interaction driven resonances in
  superconducting nanofilms with an inner potential barrier

abstract:
  We study the crossover in a zero temperature superconducting nanofilm from a
single to a double superconducting slab induced by a tunable insulating
potential barrier in the middle. The single phase superconducting ground state
of this heterostructure is shown to be intrinsically multigapped and to have a
new type of resonance caused by the strength of the barrier, thus distinct from
the Thompson-Blatt shape resonance which is caused by tuning the thickness of
the film. Single particle electronic states are strongly or weakly affected
according to their parity (even or odd) with respect to the insulating barrier.
The lift of the parity degeneracy at finite barrier strength reconfigures the
pairing interaction and leads to a multigapped superconducting state with
interaction driven resonances.


title: Competition between shock and turbulent heating in coronal loop system

abstract:
  2.5-dimensional magnetohydrodynamic (MHD) simulations are performed with high
spatial resolution in order to distinguish between competing models of the
coronal heating problem. A single coronal loop powered by Alfv\'{e}n waves
excited in the photosphere is the target of the present study. The coronal
structure is reproduced in our simulations as a natural consequence of the
transportation and dissipation of Alfv\'{e}n waves. Further, the coronal
structure is maintained as the spatial resolution is changed from 25 to 3 km,
although the temperature at the loop top increases with the spatial resolution.
The heating mechanisms change gradually across the magnetic canopy at a height
of 4 Mm. Below the magnetic canopy, both the shock and the MHD turbulence are
dominant heating processes. Above the magnetic canopy, the shock heating rate
reduces to less than 10 % of the total heating rate while the MHD turbulence
provides significant energy to balance the radiative cooling and thermal
conduction loss or gain. The importance of compressibility shown in the present
study would significantly impact on the prospects of successful MHD turbulence
theory in the solar chromosphere.


title: Comets at radio wavelengths

abstract:
  Comets are considered as the most primitive objects in the Solar System.
Their composition provides information on the composition of the primitive
solar nebula, 4.6 Gyr ago. The radio domain is a privileged tool to study the
composition of cometary ices. Observations of the OH radical at 18 cm
wavelength allow us to measure the water production rate. A wealth of molecules
(and some of their isotopologues) coming from the sublimation of ices in the
nucleus have been identified by observations in the millimetre and
submillimetre domains. We present an historical review on radio observations of
comets, focusing on the results from our group, and including recent
observations with the Nan\c{c}ay radio telescope, the IRAM antennas, the Odin
satellite, the Herschel space observatory, ALMA, and the MIRO instrument aboard
the Rosetta space probe.


title: Nonlinear Interference Alignment in a One-dimensional Space

abstract:
  Real interference alignment is efficient in breaking-up a one-dimensional
space over time-invariant channels into fractional dimensions. As such,
multiple symbols can be simultaneously transmitted with fractional
degrees-of-freedom (DoF). Of particular interest is when the one dimensional
space is partitioned into two fractional dimensions. In such scenario, the
interfering signals are confined to one sub-space and the intended signal is
confined to the other sub-space. Existing real interference alignment schemes
achieve near-capacity performance at high SNR for time-invariant channels.
However, such techniques yield poor achievable rate at finite SNR, which is of
interest from a practical point of view. In this paper, we propose a radically
novel nonlinear interference alignment technique, which we refer to as
Interference Dissolution (ID). ID allows to break-up a one-dimensional space
into two fractional dimensions while achieving near-capacity performance for
the entire SNR range. This is achieved by aligning signals by signals, as
opposed to aligning signals by the channel. We introduce ID by considering a
time-invariant MISO channel. This channel has a one-dimensional space and
offers one DoF. We show that, by breaking-up the one dimensional space into two
sub-spaces, ID achieves a rate of two symbols per channel use while providing
$\frac{1}{2}$ DoF for each symbol. We analyze the performance of the proposed
ID scheme in terms of the achievable rate and the symbol error rate. In
characterizing the achievable rate of ID for the entire SNR range, we prove
that, assuming Gaussian signals, the sum achievable rate is at most one bit
away from the capacity. We present numerical examples to validate the
theoretical analysis. We also compare the performance of ID in terms of the
achievable rate performance to that of existing schemes and demonstrate ID's
superiority.


title:
Quantum optical feedback control for creating strong correlations in
  many-body systems

abstract:
  Light enables manipulating many-body states of matter, and atoms trapped in
optical lattices is a prominent example. However, quantum properties of light
are completely neglected in all quantum gas experiments. Extending methods of
quantum optics to many-body physics will enable phenomena unobtainable in
classical optical setups. We show how using the quantum optical feedback
creates strong correlations in bosonic and fermionic systems. It balances two
competing processes, originating from different fields: quantum backaction of
weak optical measurement and many-body dynamics, resulting in stabilized
density waves, antiferromagnetic and NOON states. Our approach is extendable to
other systems promising for quantum technologies.

categories: physics.atom-ph cond-mat.quant-gas physics.optics quant-ph


title:
Diffusion-Oscillatory Dynamics in Liquid Water on Data of Dielectric
  Spectroscopy

abstract:
  When analyzing the broadband absorption spectrum of liquid water (10^10 -
10^13 Hz), we find its relaxation-resonance features to be an indication of
Frenkel's translation-oscillation motion of particles, which is fundamentally
inherent to liquids. We have developed a model of water structure, of which the
dynamics is due to diffusion of particles, neutral H2O molecules and H3O+ and
OH- ions - with their periodic localizations and mutual transformations. This
model establishes for the first time a link between the dc conductivity, the
Debye and the high frequency sub-Debye relaxations and the infrared absorption
peak at 180 cm-1. The model reveals the characteristic times of the
relaxations, 50 ps and 3 ps, as the lifetimes of water molecules and water
ions, respectively. The model sheds light on the anomalous mobility of a proton
and casts doubt on the long lifetime of a water molecule, 10 hours, commonly
associated with autoionization.


title: Joule heating in spin Hall geometry

abstract:
  The theoretical formula for the entropy production rate in the presence of
spin current is derived using the spin-dependent transport equation and
thermodynamics. This theory is applicable regardless of the source of the spin
current, for example, an electric field, a temperature gradient, or the Hall
effect. It reproduces the result in a previous work on the dissipation formula
when the relaxation time approximation is applied to the spin relaxation rate.
By using the developed theory, it is found that the dissipation in spin Hall
geometry has a contribution proportional to the square of the spin Hall angle.


title: Efficient and High-quality Sparse Graph Coloring on the GPU

abstract:
  Graph coloring has been broadly used to discover concurrency in parallel
computing. To speedup graph coloring for large-scale datasets, parallel
algorithms have been proposed to leverage modern GPUs. Existing GPU
implementations either have limited performance or yield unsatisfactory
coloring quality (too many colors assigned). We present a work-efficient
parallel graph coloring implementation on GPUs with good coloring quality. Our
approach employs the speculative greedy scheme which inherently yields better
quality than the method of finding maximal independent set. In order to achieve
high performance on GPUs, we refine the algorithm to leverage efficient
operators and alleviate conflicts. We also incorporate common optimization
techniques to further improve performance. Our method is evaluated with both
synthetic and real-world sparse graphs on the NVIDIA GPU. Experimental results
show that our proposed implementation achieves averaged 4.1x (up to 8.9x)
speedup over the serial implementation. It also outperforms the existing GPU
implementation from the NVIDIA CUSPARSE library (2.2x average speedup), while
yielding much better coloring quality than CUSPARSE.


title: Properties of Generalized Freud Polynomials

abstract:
  We consider the semi-classical generalized Freud weight function
\[w_{\lambda}(x;t) = |x|^{2\lambda+1}\exp(-x^4 +tx^2),\qquad x\in\mathbb{R},\]
with $ \lambda>-1$ and $t\in\mathbb{R}$ parameters. We analyze the asymptotic
behavior of the sequences of monic polynomials that are orthogonal with respect
to $w_{\lambda}(x;t)$, as well as the asymptotic behavior of the recurrence
coefficient, when the degree, or alternatively, the parameter $t$, tend to
infinity. We also investigate existence and uniqueness of positive solutions of
the nonlinear difference equation satisfied by the recurrence coefficients and
prove properties of the zeros of the generalized Freud polynomials.


title:
Reducing the entropic uncertainty lower bound in the presence of quantum
  memory via local operation and classical communication

abstract:
  The uncertainty principle sets lower bound on the uncertainties of two
incompatible observables measured on a particle. The uncertainty lower bound
can be reduced by considering a particle as a quantum memory entangled with the
measured particle. In this paper, we consider a tripartite scenario in which a
quantum state has been shared between Alice, Bob, and Charlie. The aim of Bob
and Charlie is to minimize Charlie's lower bound about Alice's measurement
outcomes. To this aim, they concentrate their correlation with Alice in
Charlie's side via a cooperative strategy based on local operations and
classical communication. We obtain lower bound for Charlie's uncertainty about
Alice's measurement outcomes after concentrating information and compare it
with the lower bound without concentrating information in some examples. We
also provide a physical interpretation of the entropic uncertainty lower bound
based on the dense coding capacity.


title: Rotation covariant local tensor valuations on convex bodies

abstract:
  For valuations on convex bodies in Euclidean spaces, there is by now a long
series of characterization and classification theorems. The classical template
is Hadwiger's theorem, saying that every rigid motion invariant, continuous,
real-valued valuation on convex bodies in $\mathbb{R}^n$ is a linear
combination of the intrinsic volumes. For tensor-valued valuations, under the
assumptions of isometry covariance and continuity, there is a similar
classification theorem, due to Alesker. Also for the local extensions of the
intrinsic volumes, the support, curvature and area measures, there are
analogous characterization results, with continuity replaced by weak
continuity, and involving an additional assumption of local determination. The
present authors have recently obtained a corresponding characterization result
for local tensor valuations, or tensor-valued support measures (generalized
curvature measures), of convex bodies in $\mathbb{R}^n$. The covariance assumed
there was with respect to the group ${\rm O}(n)$ of orthogonal transformations.
This was suggested by Alesker's observation, according to which in dimensions
$n> 2$, the weaker assumption of ${\rm SO}(n)$ covariance does not yield more
tensor valuations. However, for tensor-valued support measures, the distinction
between proper and improper rotations does make a difference. The present paper
considers, therefore, the local tensor valuations sharing the previously
assumed properties, but with ${\rm O}(n)$ covariance replaced by ${\rm SO}(n)$
covariance, and provides a complete classification. New tensor valued support
measures appear only in dimensions two and three.


title:
Exploring the accretion model of M87 and 3C 84 with the Faraday rotation
  measure observations

abstract:
  Low-luminosity active galactic nuclei (LLAGNs) are believed to be powered by
an accretion-jet model, consisting of an inner advection-dominated accretion
flow (ADAF), an outer truncated standard thin disk, and a jet. But model
degeneracy still exists in this framework. For example, the X-ray emission can
originate from either the ADAF or jet. The aim of the present work is to check
these models with the Faraday rotation measure (RM) observations recently
detected for two LLAGNs, M87 and 3C 84, in the sub-mm band. For M87, we find
that the RM predicted by the model in which the X-ray emission originates from
the ADAF is larger than the observed upper limit of RM by over two orders of
magnitude, while the model in which the X-ray emission originates from the jet
predicts a RM lower than the observed upper limit. For 3C 84, the sub-mm
emission is found to be dominated by the jet component, while the Faraday
screen is attributed to the ADAFs. This scenario can naturally explain the
observed {\it external} origin of the RM and why RM is found to be stable
during a two-year interval although the sub-mm emission increases at the same
period.


title: Building-like geometries of finite Morley Rank

abstract:
  For any $n\geq 6$ we construct almost strongly minimal geometries of type
$\bullet \overset{n}{-} \bullet \overset{n}{-}\bullet$ which are $2$-ample but
not $3$-ample.


title: The LAMBADA dataset: Word prediction requiring a broad discourse context

abstract:
  We introduce LAMBADA, a dataset to evaluate the capabilities of computational
models for text understanding by means of a word prediction task. LAMBADA is a
collection of narrative passages sharing the characteristic that human subjects
are able to guess their last word if they are exposed to the whole passage, but
not if they only see the last sentence preceding the target word. To succeed on
LAMBADA, computational models cannot simply rely on local context, but must be
able to keep track of information in the broader discourse. We show that
LAMBADA exemplifies a wide range of linguistic phenomena, and that none of
several state-of-the-art language models reaches accuracy above 1% on this
novel benchmark. We thus propose LAMBADA as a challenging test set, meant to
encourage the development of new models capable of genuine understanding of
broad context in natural language text.


title:
Design and Performance Analysis of Non-Coherent Detection Systems with
  Massive Receiver Arrays

abstract:
  Harvesting the gain of a large number of antennas in a mmWave band has mainly
been relying on the costly operation of channel state information (CSI)
acquisition and cumbersome phase shifters. Recent works have started to
investigate the possibility to use receivers based on energy detection (ED),
where a single data stream is decoded based on the channel and noise energy.
The asymptotic features of the massive receiver array lead to a system where
the impact of the noise becomes predictable due to a noise hardening effect.
This in effect extends the communication range compared to the receiver with a
small number of antennas, as the latter is limited by the unpredictability of
the additive noise. When the channel has a large number of spatial degrees of
freedom, the system becomes robust to imperfect channel knowledge due to
channel hardening. We propose two detection methods based on the instantaneous
and average channel energy, respectively. Meanwhile, we design the detection
thresholds based on the asymptotic properties of the received energy.
Differently from existing works, we analyze the scaling law behavior of the
symbol-error-rate (SER). When the instantaneous channel energy is known, the
performance of ED approaches that of the coherent detection in high SNR
scenarios. When the receiver relies on the average channel energy, our
performance analysis is based on the exact SER, rather than an approximation.
It is shown that the logarithm of SER decreases linearly as a function of the
number of antennas. Additionally, a saturation appears at high SNR for PAM
constellations of order larger than two, due to the uncertainty on the channel
energy. Simulation results show that ED, with a much lower complexity, achieves
promising performance both in Rayleigh fading channels and in sparse channels.


title:
Nonparametric estimation of the derivative of the regression function:
  application to sea shores water quality

abstract:
  This paper is devoted to the nonparametric estimation of the derivative of
the regression function in a nonparametric regression model. We implement a
very efficient and easy to handle statistical procedure based on the derivative
of the recursive Nadaraya-Watson estimator. We establish the almost sure
convergence as well as the asymptotic normality for our estimates. We also
illustrate our nonparametric estimation procedure on simulated and real life
data associated with sea shores water quality and valvometry.


title: Tunable Room Temperature Magnetic Skyrmions in Ir/Fe/Co/Pt Multilayers

abstract:
  Magnetic skyrmions are nanoscale topological spin structures offering great
promise for next-generation information storage technologies. The recent
discovery of sub-100 nm room temperature (RT) skyrmions in several multilayer
films has triggered vigorous efforts to modulate their physical properties for
their use in devices. Here we present a tunable RT skyrmion platform based on
multilayer stacks of Ir/Fe/Co/Pt, which we study using X-ray microscopy,
magnetic force microscopy and Hall transport techniques. By varying the
ferromagnetic layer composition, we can tailor the magnetic interactions
governing skyrmion properties, thereby tuning their thermodynamic stability
parameter by an order of magnitude. The skyrmions exhibit a smooth crossover
between isolated (metastable) and disordered lattice configurations across
samples, while their size and density can be tuned by factors of 2 and 10
respectively. We thus establish a platform for investigating functional sub-50
nm RT skyrmions, pointing towards the development of skyrmion-based memory
devices.


title:
Multilevel Evaluation of Multidimensional Integral Transforms with
  Asymptotically Smooth Kernels

abstract:
  In many practical applications of numerical methods a substantial increase in
efficiency can be obtained by using local grid refinement, since the solution
is generally smooth in large parts of the domain and large gradients occur only
locally. Fast evaluation of integral transforms on such an adaptive grid
requires an algorithm that relies on the smoothness of the continuum kernel
only, independent of its discrete form. A multilevel algorithm with this
property was presented in [A. Brandt and C.H. Venner, SIAM J. Sci. Stat.
Comput. 19 (1998) pp.468-492] [Bra1998]. Ref. [Bra1998] shows that already on a
uniform grid the new algorithm is more efficient than earlier fast evaluation
algorithms, and elaborates the application to one-dimensional transforms. The
present work analyses the extension and implementation of the algorithm for
multidimensional transforms. The analysis conveys that the multidimensional
extension is nontrivial, on account of the occurence of nonlocal corrections.
However, by virtue of the asymptotic smoothness properties of the continuum
kernel, these corrections can again be evaluated fast. By recursion, it is then
possible to obtain the optimal work estimates indicated in [Bra1998].
Currently, only uniform grids are considered. Detailed numerical results will
be presented for a two dimensional model problem. The results demonstrate that
with the new algorithm the evaluation of multidimensional transforms is also
more efficient than with previous algorithms.


title:
Embodied Approximation of the Density Classification Problem via
  Morphological Adaptation

abstract:
  The Majority (or Density Classification) Problem in Cellular Automata (CA)
aims to converge a string of cells to a final homogeneous state which reflects
the majority of states present in the initial configuration. The problem is
challenging in CA as individual cells only possess information about their own
and local neighbour states. The problem is an exercise in the propagation and
processing of information within a distributed computational medium. We explore
whether the Majority Problem can be approximated in a similarly simple
distributed computing substrate - a multi-agent model of slime mould. An
initial pattern of discrete voting choices is represented by spatial
arrangement of the agent population, temporarily held in-place by an attractant
stimulus. When this stimulus is removed the model adapts its shape and size,
moving to form a minimal distance connecting line. The final position of this
line is shown, in simple examples, to successfully represent the majority vote
decision, and also accurately reflects the size of the majority. We note
properties, limitations and potential improvements to the approach before
returning full-circle by re-encoding this morphological adaptation approach in
a simple (and more space efficient) 1D CA model.


title:
New Physics in $s\to u\ell^-\bar\nu$: Interplay between semileptonic
  kaon and hyperon decays

abstract:
  We review a novel model-independent approach to the analysis of new-physics
effects in the $s\to u\ell^-\bar\nu$ transitions. We apply it to (semi)leptonic
kaon decays and study their complementarity with pion and hyperon $\beta$
decays or with collider searches of new physics.


title: Friction-induced Shear thickening: a microscopic perspective

abstract:
  We develop a microscopic picture of shear thickening in dense suspensions
which emphasizes the role of frictional forces, coupling rotational and
translational degrees of freedom. Simulations with contact forces and viscous
drag only, reveal pronounced shear thickening with a simultaneous increase in
contact number and energy dissipation by frictional forces. At high densities,
when the translational motion is severely constrained, we observe liquid-like
gear-states with pronounced relative rotations of the particles coexisting with
solid-like regions which rotate as a whole. The latter are stabilised by
frustrated loops which become more numerous and persistent with increasing
pressure, giving rise to an increasing lengthscale of this mosaique-like
structure and a corresponding increase in viscosity.


title: On Capacity of the Writing onto Fast Fading Dirt Channel

abstract:
  The "Writing onto Fast Fading Dirt" (WFFD) channel is investigated to study
the effects of partial channel knowledge on the capacity of the "writing on
dirty paper" channel. The WFFD channel is the Gel'fand-Pinsker channel in which
the output is obtained as the sum of the input, white Gaussian noise and a
fading-times-state term. The fading-times-state term is equal to the
element-wise product of the channel state sequence, known only at the
transmitter, and a fast fading process, known only at the receiver. We consider
the case of Gaussian distributed channel states and derive an approximate
characterization of capacity for different classes of fading distributions,
both continuous and discrete. In particular, we prove that if the fading
distribution concentrates in a sufficiently small interval, then capacity is
approximately equal to the AWGN capacity times the probability of this
interval. We also show that there exists a class of fading distributions for
which having the transmitter treat the fading-times-state term as additional
noise closely approaches capacity. Although a closed-form expression of the
capacity of the general WFFD channel remains unknown, our results show that the
presence of fading can severely reduce the usefulness of channel state
knowledge at the transmitter.


title:
The growth of disks and bulges during hierarchical galaxy formation. II:
  metallicity, stellar populations and dynamical evolution

abstract:
  We investigate the properties of the stellar populations of model galaxies as
a function of galaxy evolutionary history and angular momentum content. We use
the new semi-analytic model presented in Tonini et al. (2016). This new model
follows the angular momentum evolution of gas and stars, providing the base for
a new star formation recipe, and treatment of the effects of mergers that
depends on the central galaxy dynamical structure. We find that the new recipes
have the effect of boosting the efficiency of the baryonic cycle in producing
and recycling metals, as well as preventing minor mergers from diluting the
metallicity of bulges and ellipticals. The model reproduces the stellar mass -
stellar metallicity relation for galaxies above 1e10 solar masses, including
Brightest Cluster Galaxies. Model disks, galaxies dominated by
instability-driven components, and merger-driven objects each stem from
different evolutionary channels. These model galaxies therefore occupy
different loci in the galaxy mass-size relation, which we find to be in accord
with the Atlas 3D classification of disk galaxies, fast rotators and slow
rotators. We find that the stellar populations' properties depend on the galaxy
evolutionary type, with more evolved stellar populations being part of systems
that have lost or dissipated more angular momentum during their assembly
history.


title: Bandit-Based Random Mutation Hill-Climbing

abstract:
  The Random Mutation Hill-Climbing algorithm is a direct search technique
mostly used in discrete domains. It repeats the process of randomly selecting a
neighbour of a best-so-far solution and accepts the neighbour if it is better
than or equal to it. In this work, we propose to use a novel method to select
the neighbour solution using a set of independent multi- armed bandit-style
selection units which results in a bandit-based Random Mutation Hill-Climbing
algorithm. The new algorithm significantly outperforms Random Mutation
Hill-Climbing in both OneMax (in noise-free and noisy cases) and Royal Road
problems (in the noise-free case). The algorithm shows particular promise for
discrete optimisation problems where each fitness evaluation is expensive.


title:
$B^0_s$-$\bar B^0_s$ Oscillations as a New Tool to Explore CP Violation
  in $D_s^\pm$ Decays

abstract:
  CP violation in $B^0_s$-$\bar B^0_s$ oscillations is expected at the
$10^{-5}$ level in the Standard Model but could be enhanced by New Physics.
Using $B^0_s\to D_s^-\ell^+\nu_\ell$ decays, LHCb has recently reported the new
result $(0.39\pm0.33)\times10^{-2}$ of the corresponding observable $a^s_{\rm
sl}$. We point out that other current $B$ decay data imply $a^s_{\rm sl} =
(0.004 \pm 0.075)\times10^{-2}$. In view of this strong constraint, we propose
to use $B^0_s\to D_s^-\ell^+\nu_\ell$ and similar flavor-specific decays as a
new tool to determine both the production asymmetry between $B^0_s$ and $\bar
B^0_s$ mesons, and the CP asymmetry in the subsequent $D^\pm_s$ decays. The
former serves as input for analyses of CP violation in $B^0_s$ channels, with
significant room for improvement, while the latter offers an exciting
laboratory for New Physics.


title: 2-coherent and 2-convex Conditional Lower Previsions

abstract:
  In this paper we explore relaxations of (Williams) coherent and convex
conditional previsions that form the families of $n$-coherent and $n$-convex
conditional previsions, at the varying of $n$. We investigate which such
previsions are the most general one may reasonably consider, suggesting
(centered) $2$-convex or, if positive homogeneity and conjugacy is needed,
$2$-coherent lower previsions. Basic properties of these previsions are
studied. In particular, we prove that they satisfy the Generalized Bayes Rule
and always have a $2$-convex or, respectively, $2$-coherent natural extension.
The role of these extensions is analogous to that of the natural extension for
coherent lower previsions. On the contrary, $n$-convex and $n$-coherent
previsions with $n\geq 3$ either are convex or coherent themselves or have no
extension of the same type on large enough sets. Among the uncertainty concepts
that can be modelled by $2$-convexity, we discuss generalizations of capacities
and niveloids to a conditional framework and show that the well-known risk
measure Value-at-Risk only guarantees to be centered $2$-convex. In the final
part, we determine the rationality requirements of $2$-convexity and
$2$-coherence from a desirability perspective, emphasising how they weaken
those of (Williams) coherence.


title:
NGC 2548: clumpy spatial and kinematic structure in an intermediate-age
  galactic cluster

abstract:
  NGC 2548 is a 400-500 Myr old open cluster with evidence of spatial
substructures likely caused by its interaction with the Galactic disk. In this
work we use precise astrometric data from the Carte du Ciel - San Fernando
(CdC-SF) catalogue to study the clumpy structure in this cluster. We confirm
the fragmented structure of NGC 2548 but, additionally, the relatively high
precision of our kinematic data lead us to the first detection of substructures
in the proper motion space of a stellar cluster. There are three spatially
separated cores each of which has its own counterpart in the proper motion
distribution. The two main cores lie nearly parallel to the Galactic plane
whereas the third one is significantly fainter than the others and it moves
toward the Galactic plane separating from the rest of the cluster. We derive
core positions and proper motions, as well as the stars belonging to each core.


title: Bahadur--Kiefer Representations for Time Dependent Quantile Processes

abstract:
  We define a time dependent empirical process based on $n$ independent
fractional Brownian motions and describe strong approximations to it by
Gaussian processes. They lead to strong approximations and functional laws of
the iterated logarithm for the quantile or inverse of this empirical process.
They are obtained via time dependent Bahadur--Kiefer representations.


title:
Spatio-Temporal Imaging of Light Transport in Highly Scattering Media
  under White Light Illumination

abstract:
  Imaging the propagation of light in time and space is crucial in optics,
notably for the study of complex media. We here demonstrate the passive
measurement of time-dependent Green's functions between every point at the
surface of a strongly scattering medium by means of low coherence
interferometry. The experimental access to this Green's matrix is essential
since it contains all the information about the complex trajectories of light
within the medium. In particular, the spatio-temporal spreading of the
diffusive halo and the coherent backscattering effect can be locally
investigated in the vicinity of each point acting as a virtual source. On the
one hand, this approach allows a quantitative imaging of the diffusion constant
in the scattering medium with a spatial resolution of the order of a few
transport mean free paths. On the other hand, our approach is able to reveal
and quantify the anisotropy of light diffusion, which can be of great interest
for optical characterization purposes. This study opens important perspectives
both in optical diffuse tomography with potential applications to biomedical
imaging and in fundamental physics for the experimental investigation of
Anderson localization.


title:
Contravening Esotery: Cryptanalysis of Knapsack Cipher using Genetic
  Algorithms

abstract:
  Cryptanalysis of knapsack cipher is a fascinating problem which has eluded
the computing fraternity for decades. However, in most of the cases either the
time complexity of the proposed algorithm is colossal or an insufficient number
of samples have been taken for verification. The present work proposes a
Genetic Algorithm based technique for cryptanalysis of knapsack cipher. The
experiments conducted prove the validity of the technique. The results prove
that the technique is better than the existing techniques. An extensive review
has been carried out in order to find the gaps in the existing techniques. The
work paves the way of the application of computational intelligence techniques
to the discipline of cryptanalysis.


title:
A Particle In Cell code development for high current ion beam transport
  and plasma simulations

abstract:
  A simulation package employing a Particle in Cell (PIC) method is developed
to study the high current beam transport and the dynamics of plasmas. This
package includes subroutines those are suited for various planned projects at
University of Frankfurt. In the framework of the storage ring project (F8SR)
the code was written to describe the beam optics in toroidal magnetic fields.
It is used to design an injection system for a ring with closed magnetic field
lines. The generalized numerical model, in Cartesian coordinates is used to
describe the intense ion beam transport through the chopper system in the low
energy beam section of the FRANZ project. Especially for the chopper system,
the Poisson equation is implemented with irregular geometries. The Particle In
Cell model is further upgraded with a Monte Carlo Collision subroutine for
simulation of plasma in the volume type ion source.


title:
Dielectric relaxation and crystallization behaviour of amorphous
  nilutamide

abstract:
  The molecular mobility of glass and supercooled liquid states of nilutamide
has been studied with broadband dielectric spectroscopy for a wide range of
temperature and frequency. Besides primary $\alpha$-relaxation an excess wing
like secondary relaxation is observed. The temperature dependence of structural
$\alpha$-relaxation show non-Arrhenius behaviour, and follows
Vogel-Fulcher-Tammann (VFT) empirical formula. The glass transition
temperature, T$_{g}$=302K and fragility index, m=76 are obtained from the VFT
parameters. The structural $\alpha$-relaxation process is non-Debye with
Kohlraush-Williams-Watts stretched exponential $\beta_{KWW}$=0.76. Secondary
relaxation time of nilutamide coincides with the primitive relaxation time
calculated from the coupling model. Hence the secondary relaxation process of
nilutamide is treated as the Johari-Goldstein (JG) $\beta$-process, which is
the precursor of the structural $\alpha$-process. Recent report on nilutamide
indicates the increase of nucleation even below T$_{g}$, however we attributed
to the JG $\beta$-relaxation. During the dielectric measurements amorphous
nilutamide recrystallizes. The crystallization of amorphous nilutamide has been
studied by the isotherm dielectric measurements at T=326K over a period of
time. The crystallization follows Avrami equation and the parameters are
obtained.


title:
The effect of electron-phonon interaction on the thermoelectric
  properties of defect zigzag nanoribbons

abstract:
  Thermoelectric properties of graphene nanoribbons with periodic edge
vacancies and antidot lattice are investigated. The electron-phonon interaction
is taken into account in the framework of the Hubbard-Holstein model with the
use of the Lang-Firsov unitary transformation scheme. The electron transmission
function, the thermopower and the thermoelectric figure of merit are
calculated. We have found that the electron-phonon interaction causes a
decrease in the peak values of the thermoelectric figure of merit and the shift
of the peak positions closer to the center of the bandgap. The effects are more
pronounced for the secondary peaks that appear in the structures with periodic
antidot.


title:
Physicists' approach to studying socio-economic inequalities: Can humans
  be modelled as atoms?

abstract:
  A brief overview of the models and data analyses of income, wealth,
consumption distributions by the physicists, are presented here. It has been
found empirically that the distributions of income and wealth possess fairly
robust features, like the bulk of both the income and wealth distributions seem
to reasonably fit both the log-normal and Gamma distributions, while the tail
of the distribution fits well to a power law (as first observed by sociologist
Pareto). We also present our recent studies of the unit-level expenditure on
consumption across multiple countries and multiple years, where it was found
that there exist invariant features of consumption distribution: the bulk is
log-normally distributed, followed by a power law tail at the limit. The
mechanisms leading to such inequalities and invariant features for the
distributions of socio-economic variables are not well-understood. We also
present some simple models from physics and demonstrate how they can be used to
explain some of these findings and their consequences.


title: The Chow Ring of the Stack of Smooth Plane Cubics

abstract:
  We give an explicit presentation of the integral Chow ring of a stack of
smooth plane cubics. We also determine some relations in the general case of
hypersurfaces of any dimension and degree.


title:
Energy-resolved hot carrier relaxation dynamics in monocrystalline
  plasmonic nanoantennas

abstract:
  Hot carriers are energetic photo-excited carriers driving a large range of
chemico-physical mechanisms. At the nanoscale, an efficient generation of these
carriers is facilitated by illuminating plasmonic antennas. However, the
ultrafast relaxation rate severally impedes their deployment in future
hot-carrier based devices. In this paper, we report on the picosecond
relaxation dynamics of hot carriers in plasmonic monocrystalline gold
nanoantennas. The temporal dynamics of the hot carriers is experimentally
investigated by interrogating the nonlinear photoluminescence response of the
antenna with a spectrally-resolved two-pulse correlation configuration. We
measure time-dependent nonlinearity orders varying from 1 to 8, which challenge
the common interpretation of multi-photon gold luminescence. We demonstrate
that the relaxation of the photo-excited carriers depends of their energies
relative to the Fermi level. We find a 60 % variation in the relaxation rate
for electron-hole pair energies ranging from c.a. 0.2 to 1.8 eV. The
quantitative relationship between hot carrier energy and relaxation dynamics is
an important finding for optimizing hot carriers-assisted processes and shed
new light in the intricacy of nonlinear photoluminescence in plasmonic
structures.


title: $B^0-\bar{B}^0$ Mixing at Next-to-Leading Order

abstract:
  We compute the perturbative corrections to the HQET sum rules for the matrix
element of the \Delta B=2 operator that determines the mass shift of $B^0$,
$\bar{B}^0$ states. Technically, we obtain analytically the non-factorizable
contributions at order $\alpha_s$ to the bag parameter that first appear at the
three-loop level. Together with the known non-perturbative corrections due to
vacuum condensates and $1/m_b$ corrections, the full next-to-leading order
result is now available. We present a numerical value for the renormalization
group invariant bag parameter that is phenomenologically relevant and discuss
comparison with recent lattice determinations.


title:
Spot modelling of periodic weak-line T Tauri stars observed by CoRoT in
  NGC 2264

abstract:
  The space telescope CoRoT has provided light curves of T Tauri stars
belonging to the star-forming region of NGC 2264 with unprecedented continuity
and precision in the framework of a coordinated multi-wavelength observational
project. We perform spot modelling of the optical light curves of five
weak-line T Tauri stars whose variability is dominated by starspots. We apply
two-spot and evolving single spot models in the framework of a Bayesian Monte
Carlo Markov Chain approach to derive the a posteriori distribution of the
starspot parameters and the inclination of the star rotation axis. We focus on
the rotation periods of the spots that can provide evidence for differential
rotation in those stars. We find meaningful results in the case of three stars
with an inclination higher than 50 deg and a slow variation of the light curve
amplitude. The relative difference of the spot rotation periods ranges from
0.02 to 0.05 that is 3-10 times larger than the amplitude of the differential
rotation found in similar stars with Doppler imaging techniques. We conclude
that the intrinsic starspot evolution, although very slow, has a significant
impact on the determination of the differential rotation by means of our spot
modelling approach. We estimate typical timescales for the evolution of the
starspot pattern between about 20 and 50 rotation periods in our stars.


title: Stochastic MPC with Offline Uncertainty Sampling

abstract:
  For discrete-time linear systems subject to parametric uncertainty described
by random variables, we develop a sampling-based Stochastic Model Predictive
Control algorithm. Unlike earlier results employing a scenario approximation,
we propose an offline sampling approach in the design phase instead of online
scenario generation. The paper highlights the structural difference between
online and offline sampling and provides rigorous bounds on the number of
samples needed to guarantee chance constraint satisfaction. The approach does
not only significantly speed up the online computation, but furthermore allows
to suitably tighten the constraints to guarantee robust recursive feasibility
when bounds on the uncertain variables are provided. Under mild assumptions,
asymptotic stability of the origin can be established.


title:
Higher harmonic flow coefficients of identified hadrons in Pb-Pb
  collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV

abstract:
  The elliptic, triangular, quadrangular and pentagonal anisotropic flow
coefficients for $\pi^{\pm}$, $\mathrm{K}^{\pm}$ and p+$\overline{\mathrm{p}}$
in Pb-Pb collisions at $\sqrt{s_\mathrm{{NN}}} = 2.76$ TeV were measured with
the ALICE detector at the Large Hadron Collider. The results were obtained with
the Scalar Product method, correlating the identified hadrons with reference
particles from a different pseudorapidity region. Effects not related to the
common event symmetry planes (non-flow) were estimated using correlations in pp
collisions and were subtracted from the measurement. The obtained flow
coefficients exhibit a clear mass ordering for transverse momentum
($p_{\mathrm{T}}$) values below $\approx$ 3 GeV/$c$. In the intermediate
$p_{\mathrm{T}}$ region ($3 < p_{\mathrm{T}} < 6$ GeV/$c$), particles group at
an approximate level according to the number of constituent quarks, suggesting
that coalescence might be the relevant particle production mechanism in this
region. The results for $p_{\mathrm{T}} < 3$ GeV/$c$ are described fairly well
by a hydrodynamical model (iEBE-VISHNU) that uses initial conditions generated
by A Multi-Phase Transport model (AMPT) and describes the expansion of the
fireball using a value of 0.08 for the ratio of shear viscosity to entropy
density ($\eta/s$), coupled to a hadronic cascade model (UrQMD). Finally,
expectations from AMPT alone fail to quantitatively describe the measurements
for all harmonics throughout the measured transverse momentum region. However,
the comparison to the AMPT model highlights the importance of the late hadronic
rescattering stage to the development of the observed mass ordering at low
values of $p_{\mathrm{T}}$ and of coalescence as a particle production
mechanism for the particle type grouping at intermediate values of
$p_{\mathrm{T}}$ for all harmonics.


title:
Fragmented Superradiance of a Bose-Einstein Condensate in an Optical
  Cavity

abstract:
  The Dicke model and the superradiance of two-level systems in a radiation
field have many applications. Recently, a Dicke quantum phase transition has
been realized with a Bose-Einstein condensate in a cavity. We numerically solve
the many-body Schr\"odinger equation and study correlations in the ground state
of interacting bosons in a cavity as a function of the strength of a driving
laser. Beyond a critical strength, the bosons occupy multiple modes
macroscopically while remaining superradiant. This fragmented superradiance can
be detected by analyzing the variance of single-shot measurements.


title:
Secondary fast magnetoacoustic waves trapped in randomly structured
  plasmas

abstract:
  Fast magnetoacoustic wave is an important tool for inferring solar
atmospheric parameters. We numerically simulate the propagation of fast wave
pulses in randomly structured plasmas mimicking the highly inhomogeneous solar
corona. A network of secondary waves is formed by a series of partial
reflections and transmissions. These secondary waves exhibit
quasi-periodicities in both time and space. Since the temporal and spatial
periods are related simply through the fast wave speed, we quantify the
properties of secondary waves by examining the dependence of the average
temporal period ($\bar{p}$) on the initial pulse width ($w_0$) as well as the
density contrast ($\delta_\rho$) and correlation length ($L_c$) that
characterize the randomness of the equilibrium density profiles. For
small-amplitude pulses, $\delta_\rho$ does not alter $\bar{p}$ significantly.
Large-amplitude pulses, on the other hand, enhance the density contrast when
$\delta_\rho$ is small but have a smoothing effect when $\delta_\rho$ is
sufficiently large. We found that $\bar{p}$ scales linearly with $L_c$ and that
the scaling factor is larger for a narrower pulse. However, in terms of the
absolute values of $\bar{p}$, broader pulses generate secondary waves with
longer periods, and this effect is stronger in random plasmas with shorter
correlation lengths. Secondary waves carry the signatures of both the leading
wave pulse and background plasma, our study may find applications in MHD
seismology by exploiting the secondary waves detected in the dimming regions
after CMEs or EUV waves.