title:
Thermal production of charm quarks in heavy ion collisions at Future
  Circular Collider

abstract:
  By solving the rate equation in an expanding quark-gluon plasma, we study
thermal production of charm quarks in central Pb+Pb collisions at the Future
Circular Collider. With the charm quark production cross section taken from the
perturbative QCD at the next-to-leading order, we find that charm quark
production from the quark-gluon plasma can be appreciable compared to that due
to initial hard scattering between colliding nucleons.


title:
Gaia-ESO Survey: Gas dynamics in the Carina Nebula through optical
  emission lines

abstract:
  We present observations from the Gaia-ESO Survey in the lines of H$\alpha$,
[N II], [S II] and He I of nebular emission in the central part of the Carina
Nebula.
  We investigate the properties of the two already known kinematic components
(approaching and receding, respectively), which account for the bulk of
emission. Moreover, we investigate the features of the much less known
low-intensity high-velocity (absolute RV $>$50 km/s) gas emission.
  We show that gas giving rise to H$\alpha$ and He I emission is dynamically
well correlated, but not identical, to gas seen through forbidden-line
emission. Gas temperatures are derived from line-width ratios, and densities
from [S II] doublet ratios. The spatial variation of N ionization is also
studied, and found to differ between the approaching and receding components.
The main result is that the bulk of the emission lines in the central part of
Carina arises from several distinct shell-like expanding regions, the most
evident found around $\eta$ Car, the Trumpler 14 core, and the star WR25. Such
"shells" are non-spherical, and show distortions probably caused by collisions
with other shells or colder, higher-density gas. Part of them is also obscured
by foreground dust lanes, while only very little dust is found in their
interior. Preferential directions, parallel to the dark dust lanes, are found
in the shell geometries and physical properties, probably related to strong
density gradients in the studied region. We also find evidence that the
ionizing flux emerging from $\eta$ Car and the surrounding Homunculus nebula
varies with polar angle. The high-velocity components in the wings of H$\alpha$
are found to arise from expanding dust reflecting the $\eta$ Car spectrum.


title:
Uniform resolvent estimates and absence of eigenvalues for Lam\'e
  operators with potentials

abstract:
  We consider the $0$-order perturbed Lam\'e operator $-\Delta^\ast + V(x)$. It
is well known that if one considers the free case, namely $V=0,$ the spectrum
of $-\Delta^\ast$ is purely continuous and coincides with the non-negative
semi-axis. The first purpose of the paper is to show that, at least in part,
this spectral property is preserved in the perturbed setting. Precisely,
developing a suitable multipliers technique, we will prove the absence of point
spectrum for Lam\'e operator with potentials which satisfy a variational
inequality with suitable small constant. We stress that our result also covers
complex-valued perturbation terms. Moreover the techniques used to prove the
absence of eigenvalues enable us to provide uniform resolvent estimates for the
perturbed operator under the same assumptions about $V$.


title: NEAT: an efficient network enrichment analysis test

abstract:
  Network enrichment analysis is a powerful method, which allows to integrate
gene enrichment analysis with the information on relationships between genes
that is provided by gene networks. Existing tests for network enrichment
analysis deal only with undirected networks, they can be computationally slow
and are based on normality assumptions.
  We propose NEAT, a test for network enrichment analysis. The test is based on
the hypergeometric distribution, which naturally arises as the null
distribution in this context. NEAT can be applied not only to undirected, but
to directed and partially directed networks as well. Our simulations indicate
that NEAT is considerably faster than alternative resampling-based methods, and
that its capacity to detect enrichments is at least as good as the one of
alternative tests. We discuss applications of NEAT to network analyses in yeast
by testing for enrichment of the Environmental Stress Response target gene set
with GO Slim and KEGG functional gene sets, and also by testing for
associations between GO Slim categories themselves.
  NEAT is a flexible and efficient test for network enrichment analysis that
aims to overcome some limitations of existing resampling-based tests. The
method is implemented in the R package neat, which can be freely downloaded
from CRAN (http://cran.r-project.org/package=neat).


title: Multiplication of convex sets in C(K) spaces

abstract:
  Let C(K) denote the Banach algebra of continuous real functions, with the
supremum norm, on a compact Hausdorff space K. For two subsets of C(K), one can
define their product by pointwise multiplication, just as the Minkowski sum of
the sets is defined by pointwise addition. Our main interest is in correlations
between properties of the product of closed order intervals in C(K) and
properties of the underlying space K. When K is finite, the product of two
intervals in C(K) is always an interval. Surprisingly, the converse of this
result is true for a wide class of compacta. We show that a first-countable
space K is finite whenever it has the property that the product of two
nonnegative intervals is closed, or the property that the product of an
interval with itself is convex. That some assumption on K is needed, can be
seen from the fact that, if K is the Stone-Cech compactification of N, then the
product of two intervals in C(K) with continuous boundary functions is always
an interval. For any K, it is proved that the product of two positive intervals
is always an interval, and that the product of two nonnegative intervals is
always convex. Finally, square roots of intervals are investigated, with
results of similar type.


title: Matter-wave interferometers using TAAP rings

abstract:
  We present two novel matter-wave Sagnac interferometers based on ring- shaped
time-averaged adiabatic potentials (TAAP). For both the atoms are put into a
superposition of two different spin states and manipulated independently using
elliptically polarized rf-fields. In the first interferometer the atoms are
accelerated by spin-state-dependent forces and then travel around the ring in a
matter-wave guide. In the second one the atoms are fully trapped during the
entire interferometric sequence and are moved around the ring in two
spin-state-dependent "buckets". Corrections to the ideal Sagnac phase are
investigated for both cases. We experimentally demonstrate the key atom-optical
elements of the interferometer such as the independent manipulation of two
different spin states in the ring-shaped potentials under identical
experimental conditions.


title: Mini Force: the (B-L) + xY gauge interaction with a light mediator

abstract:
  The relevant phenomenology and the best search schemes of a
subelectroweak-scale gauge boson can be vastly different depending on its
coupling. For instance, the rare decay into a light gauge boson and the high
precision parity test can be sensitive if it has an axial coupling. The minimal
gauge extension of the standard model with the U(1)_{B-L + xY} requires only
three right-handed neutrinos, well-suited to the current neutrino mass and
mixing data, and no additional exotic matter fields. We study the light gauge
boson of this symmetry in detail including its axial coupling property from the
hypercharge shift.


title: Integral operators mapping into the space of bounded analytic functions

abstract:
  We address the problem of studying the boundedness, compactness and weak
compactness of the integral operators $T_g(f)(z)=\int_0^z
f(\zeta)g'(\zeta)\,d\zeta$ acting from a Banach space $X$ into $H^\infty$. We
obtain a collection of general results which are appropriately applied and
mixed with specific techniques in order to solve the posed questions to
particular choices of $X$.


title: Vibrational resonance: a study with high-order word-series averaging

abstract:
  We study a model problem describing vibrational resonance by means of a
high-order averaging technique based on so-called word series. With the tech-
nique applied here, the tasks of constructing the averaged system and the
associ- ated change of variables are divided into two parts. It is first
necessary to build recursively a set of so-called word basis functions and,
after that, all the required manipulations involve only scalar coefficients
that are computed by means of sim- ple recursions. As distinct from the
situation with other approaches, with word- series, high-order averaged systems
may be derived without having to compute the associated change of variables. In
the system considered here, the construction of high-order averaged systems
makes it possible to obtain very precise approxima- tions to the true dynamics.


title:
The Milky Way's rotation curve out to 100 kpc and its constraint on the
  Galactic mass distribution

abstract:
  The rotation curve (RC) of the Milky Way out to $\sim$ 100 kpc has been
constructed using $\sim$ 16,000 primary red clump giants (PRCGs) in the outer
disk selected from the LSS-GAC and the SDSS-III/APOGEE survey, combined with
$\sim$ 5700 halo K giants (HKGs) selected from the SDSS/SEGUE survey. To derive
the RC, the PRCG sample of the warm disc population and the HKG sample of halo
stellar population are respectively analyzed using a kinematical model allowing
for the asymmetric drift corrections and re-analyzed using the spherical Jeans
equation along with measurements of the anisotropic parameter $\beta$ currently
available. The typical uncertainties of RC derived from the PRCG and HKG
samples are respectively 5-7 km/s and several tens km/s. We determine a
circular velocity at the solar position, $V_c (R_0)$ = 240 $\pm$ 6 km/s and an
azimuthal peculiar speed of the Sun, $V_{\odot}$ = 12.1 $\pm$ 7.6 km/s, both in
good agreement with the previous determinations. The newly constructed RC has a
generally flat value of 240 km/s within a Galactocentric distance $r$ of 25 kpc
and then decreases steadily to 150 km/s at $r$ $\sim$ 100 kpc. On top of this
overall trend, the RC exhibits two prominent localized dips, one at $r$ $\sim$
11 kpc and another at $r$ $\sim$ 19 kpc. From the newly constructed RC,
combined with other constraints, we have built a parametrized mass model for
the Galaxy, yielding a virial mass of the Milky Way's dark matter halo of
$0.90^{+0.07}_{-0.08} \times 10^{12}$ ${\rm M}_{\odot}$ and a local dark matter
density, $\rho_{\rm \odot, dm} = 0.32^{+0.02}_{-0.02}$ GeV cm$^{-3}$.


title:
Enhancement of thermoelectric figure of merit in zigzag graphene
  nanoribbons with periodic edge vacancies

abstract:
  The influence of periodic edge vacancies and antidot arrays on the
thermoelectric properties of zigzag graphene nanoribbons is investigated. Using
the Green's function method, the tight-binding approximation for the electron
Hamiltonian and the 4th nearest neighbor approximation for the phonon dynamical
matrix, we calculate the Seebeck coefficient and the thermoelectric figure of
merit. It is found that, at a certain periodic arrangement of vacancies on both
edges of zigzag nanoribbon, a finite band gap opens and almost twofold
degenerate energy levels appear. As a result, a marked increase in the Seebeck
coefficient takes place. It is shown that an additional enhancement of the
thermoelectric figure of merit can be achieved by a combination of periodic
edge defects with an antidot array.


title:
Detectability of galactic supernova neutrinos coherently scattered on
  xenon nuclei in XMASS

abstract:
  The coherent elastic neutrino-nucleus scattering (CEvNS) plays a crucial role
at the final evolution of stars. The detection of it would be of importance in
astroparticle physics. Among all available neutrino sources, galactic
supernovae give the highest neutrino flux in the MeV range. Among all liquid
xenon dark matter experiments, XMASS has the largest sensitive volume and light
yield. The possibility to detect galactic supernova via the CEvNS-process on
xenon nuclei in the current XMASS detector was investigated. The total number
of events integrated in about 18 seconds after the explosion of a supernova
10~kpc away from the Earth was expected to be from 3.5 to 21.1, depending on
the supernova model used to predict the neutrino flux, while the number of
background events in the same time window was measured to be negligible. All
lead to very high possibility to detect CEvNS experimentally for the first time
utilizing the combination of galactic supernovae and the XMASS detector. In
case of a supernova explosion as close as Betelgeuse, the total observable
events can be more than ten thousand, making it possible to distinguish
different supernova models by examining the evolution of neutrino event rate in
XMASS.

categories: physics.ins-det astro-ph.HE astro-ph.IM hep-ex nucl-ex


title: Learning to Generate Posters of Scientific Papers

abstract:
  Researchers often summarize their work in the form of posters. Posters
provide a coherent and efficient way to convey core ideas from scientific
papers. Generating a good scientific poster, however, is a complex and time
consuming cognitive task, since such posters need to be readable, informative,
and visually aesthetic. In this paper, for the first time, we study the
challenging problem of learning to generate posters from scientific papers. To
this end, a data-driven framework, that utilizes graphical models, is proposed.
Specifically, given content to display, the key elements of a good poster,
including panel layout and attributes of each panel, are learned and inferred
from data. Then, given inferred layout and attributes, composition of graphical
elements within each panel is synthesized. To learn and validate our model, we
collect and make public a Poster-Paper dataset, which consists of scientific
papers and corresponding posters with exhaustively labelled panels and
attributes. Qualitative and quantitative results indicate the effectiveness of
our approach.


title: QCD topological susceptibility from the nonlocal chiral quark model

abstract:
  We investigate the QCD topological susceptibility $\chi_t$ by using the
nonlocal chiral quark model (NL$\chi$QM). This model is based on the liquid
instanton QCD-vacuum configuration in which $\mathrm{SU}(3)$ flavor symmetry is
explicitly broken by the current quark mass $(m_{u,d},m_s)\approx(5,135)$ MeV.
To compute $\chi_t$, the local topological charge density operator $Q_t(x)$ is
derived from the effective partition function of NL$\chi$QM. We take into
account the contributions from the leading-order (LO) ones
$\sim\mathcal{O}(N_c)$ in the $1/N_c$ expansion. We also verify that the
analytical expression of $\chi_t$ in NL$\chi$QM satisfy the Witten-Veneziano
(WV) and the Leutwyler-Smilga (LS) formulae. Once the average instanton size
and inter-instanton distance are fixed with $\bar{\rho}=1/3$ fm and $\bar{R}=1$
fm, respectively, all the associated model parameters are all determined
self-consistently within the model, including the $\eta$ and $\eta'$ weak decay
constants. We obtain the results such as $F_{\eta}=96.77$ MeV and
$F_{\eta'}=102.53$ MeV for instance. Numerically we observe that
$\chi_{t}=(165.57\,\mathrm{MeV})^4$ in our full calculation. This value is
comparable with its empirical one $\chi_t=(175\pm5\,\mathrm{MeV})^4$. We also
find that our $\chi^\mathrm{WV}_t=\chi^\mathrm{QL}_t=(194.30,\mathrm{MeV})^4$
in the quenched limit and $\chi^\mathrm{LS}_t=(162.54\,\mathrm{MeV})^4$ in the
chiral limit. Consequently, we conclude that $\chi_{t}<\chi^\mathrm{QL}_t$. Our
result also implies that the $(10\sim20)\,\%$ decrease with the dynamical quark
contributions.


title:
Character-Level Neural Translation for Multilingual Media Monitoring in
  the SUMMA Project

abstract:
  The paper steps outside the comfort-zone of the traditional NLP tasks like
automatic speech recognition (ASR) and machine translation (MT) to addresses
two novel problems arising in the automated multilingual news monitoring:
segmentation of the TV and radio program ASR transcripts into individual
stories, and clustering of the individual stories coming from various sources
and languages into storylines. Storyline clustering of stories covering the
same events is an essential task for inquisitorial media monitoring. We address
these two problems jointly by engaging the low-dimensional semantic
representation capabilities of the sequence to sequence neural translation
models. To enable joint multi-task learning for multilingual neural translation
of morphologically rich languages we replace the attention mechanism with the
sliding-window mechanism and operate the sequence to sequence neural
translation model on the character-level rather than on the word-level. The
story segmentation and storyline clustering problem is tackled by examining the
low-dimensional vectors produced as a side-product of the neural translation
process. The results of this paper describe a novel approach to the automatic
story segmentation and storyline clustering problem.


title:
Same Period Emission and Recombination in Non-Sequential Double
  Recombination High-Harmonic Generation in H$_2$

abstract:
  Non-sequential double recombination (NSDR) high-order harmonic generation
(HHG) is studied in a molecular system. We observe a unique molecular
two-electron effect with a characteristic cutoff in the HHG spectrum at higher
energies than what was previously seen for NSDR HHG in atoms. The effect is
corroborated with a classical model where it is found that the effect is
sensitive to the molecular potential and originates from same period emission
and recombination (SPEaR) of two electrons. The effect persists for
intermediate nuclear distances of $R \gtrsim 8.0$ a.u.


title:
Elliptic solid-on-solid model's partition function as a single
  determinant

abstract:
  In this work we express the partition function of the integrable elliptic
solid-on-solid model with domain-wall boundary conditions as a single
determinant. This representation appears naturally as the solution of a system
of functional equations governing the model's partition function.

categories: math-ph cond-mat.stat-mech hep-th math.MP nlin.SI


title: Commodity Dynamics: A Sparse Multi-class Approach

abstract:
  The correct understanding of commodity price dynamics can bring relevant
improvements in terms of policy formulation both for developing and developed
countries. Agricultural, metal and energy commodity prices might depend on each
other: although we expect few important effects among the total number of
possible ones, some price effects among different commodities might still be
substantial. Moreover, the increasing integration of the world economy suggests
that these effects should be comparable for different markets. This paper
introduces a sparse estimator of the Multi-class Vector AutoRegressive model to
detect common price effects between a large number of commodities, for
different markets or investment portfolios. In a first application, we consider
agricultural, metal and energy commodities for three different markets. We show
a large prevalence of effects involving metal commodities in the Chinese and
Indian markets, and the existence of asymmetric price effects. In a second
application, we analyze commodity prices for five different investment
portfolios, and highlight the existence of important effects from energy to
agricultural commodities. The relevance of biofuels is hereby confirmed.
Overall, we find stronger similarities in commodity price effects among
portfolios than among markets.


title: Triplet Superfluidity on a triangular ladder with dipolar fermions

abstract:
  Motivated by recent experimental progress in the field of dipolar-Fermi
gases, we investigate the quantum phases of dipolar fermions, on a triangular
ladder at half filling. Using density matrix renormalization group method, in
presence of onsite repulsion and intersite attractive interaction, we find
exotic spin-triplet superfluid phase in addition to the usual spin-density and
charge-density waves. We examine the stability of spin-triplet superfluid phase
by varying hopping along the rungs of the triangle. Possibility of fermionic
supersolidity has also been discussed, by considering three- body interaction
in the Hamiltonian. We also study the effect of spin-dependent hopping on the
stability of spin-triplet superfluid phase.


title: On the nature of Hydrogen-rich Superluminous Supernovae

abstract:
  We present two hydrogen-rich superluminous supernovae (SLSNe), namely
SN2013hx and PS15br. These objects, together with SN2008es are the only SLSNe
showing a distinct, broad Halpha feature during the photospheric phase and also
do not show any sign of strong interaction between fast-moving ejecta and
circumstellar shells in their early spectra. Despite PS15br peak luminosity is
fainter than the other two objects, the spectrophotometric evolution is similar
to SN2013hx and different than any other supernova in a similar luminosity
space. We group all of them as SLSNe II and hence distinct from the known class
of SLSN IIn. Both transients show a strong, multi-component Halpha emission
after 200 days past maximum which we interpret as an indication of interaction
of the ejecta with an asymmetric, clumpy circumstellar material. The spectra
and photometric evolution of the two objects are similar to type II supernovae,
although they have much higher luminosity and evolve on slower timescales. This
is qualitatively similar to how SLSNe I compare with normal type Ic in that the
former are brighter and evolve more slowly. We apply a magnetar and an
interaction semi-analytical codes to fit the light curves of our two objects
and SN2008es. The overall observational dataset would tend to favour the
magnetar, or central engine, model as the source of the peak luminosity
although the clear signature of late-time interaction indicates that
interaction can play a role in the luminosity evolution of SLSNe II at some
phases.


title: Rate of Prefix-free Codes in LQG Control Systems

abstract:
  In this paper, we consider a discrete time linear quadratic Gaussian (LQG)
control problem in which state information of the plant is encoded in a
variable-length binary codeword at every time step, and a control input is
determined based on the codewords generated in the past. We derive a lower
bound of the rate achievable by the class of prefix-free codes attaining the
required LQG control performance. This lower bound coincides with the infimum
of a certain directed information expression, and is computable by semidefinite
programming (SDP). Based on a technique by Silva et al., we also provide an
upper bound of the best achievable rate by constructing a controller equipped
with a uniform quantizer with subtractive dither and Shannon-Fano coding. The
gap between the obtained lower and upper bounds is less than $0.754r+1$ bits
per time step regardless of the required LQG control performance, where $r$ is
the rank of a signal-to-noise ratio matrix obtained by SDP, which is no greater
than the dimension of the state.


title:
Ising tricriticality in the extended Hubbard model with bond
  dimerization

abstract:
  We explore the quantum phase transition between Peierls and
charge-density-wave insulating states in the one-dimensional, half-filled,
extended Hubbard model with explicit bond dimerization. We show that the
critical line of the continuous Ising transition terminates at a tricritical
point, belonging to the universality class of the tricritical Ising model with
central charge $c=7/10$. Above this point, the quantum phase transition becomes
first order. Employing a numerical matrix-product-state based (infinite)
density-matrix renormalization group method we determine the ground-state phase
diagram, the spin and two-particle charge excitations gaps, and the
entanglement properties of the model with high precision. Performing a
bosonization analysis we can derive a field description of the transition
region in terms of a triple sine-Gordon model. This allows us to derive field
theory predictions for the power-law (exponential) decay of the density-density
(spin-spin) and bond-order-wave correlation functions, which are found to be in
excellent agreement with our numerical results.


title: Matrix parameterized pseudo-differential calculi on modulation spaces

abstract:
  We consider a broad matrix parameterized family of pseudo-differential
calculi, containing the usual Shubin's family of pseudo-differential calculi,
parameterized by real numbers. We show that continuity properties in the
framework of modulation space theory, valid for the Shubin's family extend to
the broader matrix parameterized family of pseudo-differential calculi.


title: Delocalization for random displacement models with Dirac masses

abstract:
  We study a random Schroedinger operator, the Laplacian with random Dirac
delta potentials on a torus T^d_L = R^d/LZ^d, in the thermodynamic limit
L\to\infty, for dimension d=2. The potentials are located on a randomly
distorted lattice Z^2+\omega, where the displacements are i.i.d. random
variables sampled from a compactly supported probability density. We prove
that, if the disorder is sufficiently weak, there exists a certain energy
threshold E_0>0 above which exponential localization of the eigenfunctions must
break down. In fact we can rule out any decay faster than a certain polynomial
one. Our results are obtained by translating the problem of the distribution of
eigenfunctions of the random Schroedinger operator into a study of the spatial
distribution of two point correlation densities of certain random
superpositions of Green's functions and its relation with a lattice point
problem.


title:
Possible evolution of the pulsar braking index from larger than three to
  about one

abstract:
  The coupled evolution of pulsar rotation and inclination angle in the wind
braking model is calculated. The oblique pulsar tends to align. The pulsar
alignment will affect its spin-down behavior. As a pulsar evolves from the
magneto-dipole radiation dominated case to the particle wind dominated case,
the braking index will first increase and then decrease. In the early time, the
braking index may be larger than 3. And during the following long time, the
braking index will be always smaller than 3. The minimum braking index is about
one. This can explain the existence of high braking index larger than 3, and
low braking index of pulsars simultaneously. The pulsar braking index is
expected to evolve from larger than three to about one. A general trend is that
the pulsar braking index will evolve from the Crab-like case to the Vela-like
case.


title:
Shaping, imaging and controlling plasmonic interference fields at buried
  interfaces

abstract:
  Filming and controlling plasmons at buried interfaces with nanometer (nm) and
femtosecond (fs) resolution has yet to be achieved and is critical for next
generation plasmonic/electronic devices. In this work, we use light to excite
and shape a plasmonic interference pattern at a buried metal-dielectric
interface in a nanostructured thin film. Plasmons are launched from a
photoexcited array of nanocavities and their propagation is filmed via
photon-induced near-field electron microscopy (PINEM). The resulting movie
directly captures the plasmon dynamics, allowing quantification of their group
velocity at approximately 0.3c, consistent with our theoretical predictions.
Furthermore, we show that the light polarization and nanocavity design can be
tailored to shape transient plasmonic gratings at the nanoscale. These results,
demonstrating dynamical imaging with PINEM, pave the way for the fs/nm
visualization and control of plasmonic fields in advanced heterostructures
based on novel 2D materials such as graphene, MoS$_2$, and ultrathin metal
films.


title:
Construction of Simultaneous Confidence Bands for Multiple Logistic
  Regression Models over Restricted Regions

abstract:
  This article presents methods for constructing an asymptotic hyperbolic band
under the multiple logistic regression model when the predictor variables are
restricted to a specific region $\mathscr{X}$. Scheff\'{e}'s method yields
unnecessarily wide, and hence conservative, bands if the predictor variables
can be restricted to a certain region. Piegorsch and Casella (1988) developed a
procedure to build an asymptotic confidence band for the multiple logistic
regression model over particular regions. Those regions are shown to be special
cases of the region $\mathscr{X}$, which was first investigated by Seppanen and
Uusipaikka (1992) in the multiple linear regression context. This article also
provides methods for constructing conservative confidence bands when the
restricted region is not of the specified form. Particularly, rectangular
restricted regions, which are commonly encountered in practice, are considered.
Two examples are given to illustrate the proposed methodology, and one example
shows that the proposed procedure outperforms the method given by Piegorsch and
Casella (1988).


title: Assouad dimensions of complementary sets

abstract:
  Given a positive, decreasing sequence $a,$ whose sum is $L$, we consider all
the closed subsets of $[0,L]$ such that the lengths of their complementary open
intervals are in one to one correspondence with the sequence $a$. The aim of
this note is to investigate the possible values that Assouad-type dimensions
can attain for this class of sets. In many cases, the set of attainable values
is a closed interval whose endpoints we determine.


title: A new TAG Formalism for Tamil and Parser Analytics

abstract:
  Tree adjoining grammar (TAG) is specifically suited for morph rich and
agglutinated languages like Tamil due to its psycho linguistic features and
parse time dependency and morph resolution. Though TAG and LTAG formalisms have
been known for about 3 decades, efforts on designing TAG Syntax for Tamil have
not been entirely successful due to the complexity of its specification and the
rich morphology of Tamil language. In this paper we present a minimalistic TAG
for Tamil without much morphological considerations and also introduce a parser
implementation with some obvious variations from the XTAG system


title: Monoidal Rigidity for Free Wreath Products

abstract:
  In this note we observe that any compact quantum group monoidally equivalent,
in a nice way, to a free wreath product of a compact quantum group $G$ by the
quantum automorphism group of a finite dimensional C*-algebra with a
$\delta$-form is actually isomorphic to a free wreath product of $G$ by the
quantum automorphism group of another finite dimensional C*-algebra with a
$\delta$-form.


title: Isoparametric submanifolds in two-dimensional complex space forms

abstract:
  We show that an isoparametric submanifold of a complex hyperbolic plane,
according to the definition of Heintze, Liu and Olmos', is an open part of a
principal orbit of a polar action. We also show that there exists a
non-isoparametric submanifold of the complex hyperbolic plane that is
isoparametric according to the definition of Terng's. Finally, we classify
Terng-isoparametric submanifolds of two-dimensional complex space forms.


title:
Projectively invariant objects and the index of the group of affine
  transformations in the group of projective transformations

abstract:
  The paper is grown from the lecture course "Metric projective geometry" which
I hold at the summer school "Finsler geometry with applications" at Karlovassi,
Samos, in 2014, and at the workshop before the 8th seminar on Geometry and
Topology of the Iranian Mathematical society at the Amirkabir University of
Technology in 2015. The goal of this lecture course was to show how effective
projectively invariant objects can be used to solve natural and named problems
in differential geometry, and this paper also does it: I give easy new proofs
to many known statements, and also prove the following new statement: on a
complete Riemannian manifold of nonconstant curvature the index of the group of
affine transformations in the group of projective transformations is at most
two.


title: Current-Controlled Skyrmionic Diode

abstract:
  In order to address many of the challenges and bottlenecks currently
experienced by traditional charge based technologies, various alternatives are
being actively explored to provide potential solutions of device
miniaturization and scaling in the more-than-MOORE era. Amongst these
alternatives, spintronics physics and devices have recently attracted a rapidly
increasing interest by exploiting the additional degree of electron's spins.
For example, magnetic domain-wall racetrack-memory and logic devices have been
realized via manipulating domain-wall motion. As compared to domain-wall based
devices, magnetic skyrmions have the advantages of ultra-small size (typically
5-100 nm in diameter), facile current-driven motion, topological stability and
peculiar emergent electrodynamics, promising for next-generation electronics
applications in the more-than-Moore regime. In this work, a magnetic meron
diode, which behaves like a PN-junction diode, is demonstrated for the first
time, by tailoring the current-controlled unidirectional motion of edge-merons
(i.e., fractional skyrmions) in a nanotrack with interfacial
Dzyaloshinskii-Moriya interaction. The working principles of the meron diode,
theoretically expected from the Thiele equation for topological magnetic
objects, are further verified by micromagnetic simulations. The present study
reveals topology-independent transport property of magnetic objects, and is
expected to open the vista toward integrated composite circuitry, with unified
data storage and processing, based on a single magnetic chip, as the meron
diode can be used either, as a building block, to develop complex logic
components or, as a signal controller, to interconnect skyrmion, domain-wall,
and even spin-wave devices.


title: Causal dynamical triangulation of a 3D tensor model

abstract:
  We extend the string field theory of 2D generalized causal dynamical
triangulation (GCDT) with the Ishibashi-Kawai type (IK-type) interaction
formulated by the matrix model to the 3D model of the surface field theory.
Based on the loop gas model, we construct a tensor model for the discretized
surface field and then apply it the stochastic quantization method. In the
double-scaling limit, the model is characterized by two scaling dimensions $D$
and $D_N$, the power indices of the minimal length as the scaling parameter.
The continuum GCDT model with the IK-type interaction is realized with a
similar restriction in the $D_N$-$D$ space to the 2D model. The distinct
property in the 3D model is that the quantum effect contains the IK-type
interaction only, while the ordinary splitting interaction is excluded.


title:
Hydrodynamical instabilities induced by atomic diffusion in A stars and
  their consequences

abstract:
  Aims. Atomic diffusion, including the effect of radiative accelerations on
individual elements, leads to important variations of the chemical composition
inside the stars. The accumulation in specific layers of the elements, which
are the main contributors of the local opacity, leads to hydrodynamical
instabilities that modify the internal stellar structure and surface
abundances. Our aim is to study these effects and compare the resulting surface
abundances with spectroscopic observations Methods. We computed the detailed
structure of A-type stars including these effects. We used the Toulouse-Geneva
Evolution Code (TGEC), where radiative accelerations are computed using the
Single Valued Parameter (SVP) method, and we added double-diffusive convection
with mixing coefficients deduced from three-dimensional (3D) simulations.
Results. We show that the modification of the initial chemical composition has
important effects on the internal stellar mixing and leads to different surface
abundances of the elements. The results fit the observed surface chemical
composition well if the layers, which are individually mixed by
double-diffusive convection, are connected.


title:
Confidence Bands for the Logistic and Probit Regression Models Over
  Intervals

abstract:
  This article presents methods for the construction of two-sided and one-sided
simultaneous hyperbolic bands for the logistic and probit regression models
when the predictor variable is restricted to a given interval. The bands are
constructed based on the asymptotic properties of the maximum likelihood
estimators. Past articles have considered building two-sided asymptotic
confidence bands for the logistic model, such as Piegorsch and Casella (1988).
However, the confidence bands given by Piegorsch and Casella are conservative
under a single interval restriction, and it is shown in this article that their
bands can be sharpened using the methods proposed here. Furthermore, no method
has yet appeared in the literature for constructing one-sided confidence bands
for the logistic model, and no work has been done for building confidence bands
for the probit model, over a limited range of the predictor variable. This
article provides methods for computing critical points in these areas.


title:
Mental Lexicon Growth Modelling Reveals the Multiplexity of the English
  Language

abstract:
  In this work we extend previous analyses of linguistic networks by adopting a
multi-layer network framework for modelling the human mental lexicon, i.e. an
abstract mental repository where words and concepts are stored together with
their linguistic patterns. Across a three-layer linguistic multiplex, we model
English words as nodes and connect them according to (i) phonological
similarities, (ii) synonym relationships and (iii) free word associations. Our
main aim is to exploit this multi-layered structure to explore the influence of
phonological and semantic relationships on lexicon assembly over time. We
propose a model of lexicon growth which is driven by the phonological layer:
words are suggested according to different orderings of insertion (e.g. shorter
word length, highest frequency, semantic multiplex features) and accepted or
rejected subject to constraints. We then measure times of network assembly and
compare these to empirical data about the age of acquisition of words. In
agreement with empirical studies in psycholinguistics, our results provide
quantitative evidence for the hypothesis that word acquisition is driven by
features at multiple levels of organisation within language.


title:
Complete kinematical study of the 3$\alpha$ breakup of the 16.11 MeV
  state in $^{12}$C

abstract:
  The reaction $^{11}B+p$ has been used to populate the $(J^{\pi},T)=(2^+,1)$
state at an excitation energy of 16.11 MeV in $^{12}$C, and the breakup of the
state into three $\alpha$ particles has been studied in complete kinematics. A
two-step breakup model which includes interference effects is found to provide
the most accurate description of the experimental data. The branching ratio to
the ground state of $^8$Be is determined to be 5.1(5)% in agreement with
previous findings, but more precise by a factor of two, while the decay to the
first-excited state in $^8$Be is found to be dominated by $d$-wave emission.


title: Neutrino spin-flavor oscillations derived from the mass basis

abstract:
  We consider neutrino mixing and oscillations in presence of an arbitrary
constant magnetic field with nonzero transversal $B_{\perp}$ and longitudinal
$B_{\parallel}$ components with respect to the direction of neutrino
propagation. The electromagnetic interaction of neutrinos is determined by
diagonal and transition neutrino magnetic moments that are introduced for the
neutrino mass states. Explicit expressions for the effective neutrino diagonal
and transition magnetic moments for the flavor basis in terms of these values
for the mass states are obtained. The effective evolution Hamiltonian for the
flavor neutrino and the corresponding oscillation probability are derived. The
role of the longitudinal magnetic field component is examined. In particular,
it is shown that: 1) $B_{\parallel}$ coupled to the corresponding magnetic
moments shifts the neutrino energy, and 2) in case of nonvanishing neutrino
transition magnetic moments $B_{\parallel}$ produces an additional mixing
between neutrino states, both in the mass and flavor neutrino bases.


title:
Beyond primitivity for one-dimensional substitution subshifts and tiling
  spaces

abstract:
  We study the topology and dynamics of subshifts and tiling spaces associated
to non-primitive substitutions in one dimension. We identify a property of a
substitution, which we call tameness, in the presence of which most of the
possible pathological behaviours of non-minimal substitutions cannot occur. We
find a characterization of tameness, and use this to prove a slightly stronger
version of a result of Durand, which says that the subshift of a minimal
substitution is topologically conjugate to the subshift of a primitive
substitution.
  We then extend to the non-minimal setting a result obtained by Anderson and
Putnam for primitive substitutions, which says that a substitution tiling space
is homeomorphic to an inverse limit of a certain finite graphx under a self-map
induced by the substitution. We use this result to explore the structure of the
lattice of closed invariant subspaces and quotients of a substitution tiling
space, for which we compute cohomological invariants that are stronger that the
\v{C}ech cohomology of the tiling space alone.


title: Exceptional quantum geometry and particle physics

abstract:
  Based on an interpretation of the quark-lepton symmetry in terms of the
unimodularity of the color group $SU(3)$ and on the existence of 3 generations,
we develop an argumentation suggesting that the "finite quantum space"
corresponding to the exceptional real Jordan algebra of dimension 27 (the
Euclidean Albert algebra) is relevant for the description of internal spaces in
the theory of particles. In particular, the triality which corresponds to the 3
off-diagonal octonionic elements of the exceptional algebra is associated to
the 3 generations of the Standard Model while the representation of the
octonions as a complex 4-dimensional space $\mathbb C\oplus\mathbb C^3$ is
associated to the quark-lepton symmetry, (one complex for the lepton and 3 for
the corresponding quark). More generally it is is suggested that the
replacement of the algebra of real functions on spacetime by the algebra of
functions on spacetime with values in a finite-dimensional Euclidean Jordan
algebra which plays the role of "the algebra of real functions" on the
corresponding almost classical quantum spacetime is relevant in particle
physics. This leads us to study the theory of Jordan modules and to develop the
differential calculus over Jordan algebras, (i.e. to introduce the appropriate
notion of differential forms). We formulate the corresponding definition of
connections on Jordan modules.

categories: math.QA gr-qc hep-th math-ph math.MP math.RA


title: Rational homotopy of the space of immersions between manifolds

abstract:
  In this paper we study the rational homotopy of the space of immersions,
$Imm\left(M,N\right)$, of a manifold $M$ of dimension $m\geq 0$ into a manifold
$N$ of dimension $m+k$, with $k\geq 2$. In the special case when
$N=\mathbb{R}^{m+k}$ and $k$ is odd we prove that each connected component of
$Imm\left(M,\mathbb{R}^{m+k}\right)$ has the rational homotopy type of product
of Eilenberg Mac Lane space. We give an explicit description of each connected
component and prove that it only depends on $m$, $k$ and the rational Betti
numbers of $M$. For a more general manifold $N$, we prove that the path
connected of $Imm\left(M,N\right)$ has the rational homotopy type of some
component of an explicit mapping space when some Pontryagin classes vanishes.


title:
A thermo-mechanical explanation for the topology of crack patterns
  observed on the surface of charred wood and particle fibreboard

abstract:
  In the assessment of wood charring, it was believed for a long time that
physicochemical processes were responsible for the creation of cracking
patterns on the charring wood surface. This implied no possibility to
rigorously explain the crack topology. In this paper we show instead that below
the pyrolysis temperatures, a primary global macro-crack pattern is already
completely established by means of a thermomechanical instability phenomenon.
First we report experimental observations of the crack patterns on orthotropic
(wood) and isotropic (Medium Density Fibreboard) materials in inert atmosphere.
Then we solve the 3D thermomechanical buckling problem numerically by using the
Finite Element Method, and show that the different crack topologies can be
explained qualitatively by the simultaneous thermal expansion and softening,
taking into account the directional dependence of the elastic properties.
Finally, we formulate a 2D model for a soft layer bonded to an elastic
substrate, and find an equation predicting the inter-crack distance in the main
crack-pattern for the orthotropic case. We also derive a formula for the
critical thermal stress above which the plane surface will wrinkle and buckle.
The results can be used for finding new ways to prevent or delay the crack
formation, leading to improved fire safety of wood-based products.


title: Fast methods for training Gaussian processes on large data sets

abstract:
  Gaussian process regression (GPR) is a non-parametric Bayesian technique for
interpolating or fitting data. The main barrier to further uptake of this
powerful tool rests in the computational costs associated with the matrices
which arise when dealing with large data sets. Here, we derive some simple
results which we have found useful for speeding up the learning stage in the
GPR algorithm, and especially for performing Bayesian model comparison between
different covariance functions. We apply our techniques to both synthetic and
real data and quantify the speed-up relative to using nested sampling to
numerically evaluate model evidences.


title: Manufacturing of Aluminum Composite Material Using Stir Casting Process

abstract:
  Manufacturing of aluminum alloy based casting composite materials via stir
casting is one of the prominent and economical route for development and
processing of metal matrix composites materials. Properties of these materials
depend upon many processing parameters and selection of matrix and
reinforcements. Literature reveals that most of the researchers are using 2, 6
and 7xxx aluminum matrix reinforced with SiC particles for high strength
properties whereas, insufficient information is available on reinforcement of
"Al2O3" particles in 7xxx aluminum matrix. The 7xxx series aluminum matrix
usually contains Cu-Zn-Mg. Therefore, the present research was conducted to
investigate the effect of elemental metal such as Cu-Zn-Mg in aluminum matrix
on mechanical properties of stir casting of aluminum composite materials
reinforced with alpha "Al2O3" particles using simple foundry melting alloying
and casting route. The age hardening treatments were also applied to study the
aging response of the aluminum matrix on strength, ductility and hardness. The
experimental results indicate that aluminum matrix cast composite can be
manufactured via conventional foundry method giving very good responses to the
strength and ductility up to 10% "Al2O3" particles reinforced in aluminum
matrix.


title:
Comparative Deep Learning of Hybrid Representations for Image
  Recommendations

abstract:
  In many image-related tasks, learning expressive and discriminative
representations of images is essential, and deep learning has been studied for
automating the learning of such representations. Some user-centric tasks, such
as image recommendations, call for effective representations of not only images
but also preferences and intents of users over images. Such representations are
termed \emph{hybrid} and addressed via a deep learning approach in this paper.
We design a dual-net deep network, in which the two sub-networks map input
images and preferences of users into a same latent semantic space, and then the
distances between images and users in the latent space are calculated to make
decisions. We further propose a comparative deep learning (CDL) method to train
the deep network, using a pair of images compared against one user to learn the
pattern of their relative distances. The CDL embraces much more training data
than naive deep learning, and thus achieves superior performance than the
latter, with no cost of increasing network complexity. Experimental results
with real-world data sets for image recommendations have shown the proposed
dual-net network and CDL greatly outperform other state-of-the-art image
recommendation solutions.


title: The dual behavior of quantum Fields and the big Bang

abstract:
  We modify the propagation for the quarks and gluons, with that we have finite
results, without ultra violet divergence in perturbed interaction of the quarks
and gluons, this makes it easily for the interaction renormalization, like the
self energy. Then we search for a way to remove our modification, with fixing
the Lagrange parameters. so we can ignore our modification. We relate the
modification to interaction situation, this is, we need it only for interaction
renormalization. we see for the free the modification is removed. then We try
to give the modification terms modification physical aspects, for this we see
the corresponding terms in the Lagrange. To do that we find the role of those
terms in the Feynman diagrams, in self energies, quarks gluons vertex. We see
we can relate the propagation modification to fields dual behavior, pairing
particle with antiparticle appears as scalar particles with high mass. For the
quarks we can interrupt these particles as pions.


title:
The exact calculation of the edge components of the angular Fock
  coefficients

abstract:
  The present paper constitutes the development of our previous work devoted to
calculations of the angular Fock coefficients, $\psi_{k,p}(\alpha,\theta)$. The
explicit analytic representations for the edge components $\psi_{k,0}^{(0)}$
and $\psi_{k,0}^{(k)}$ with $k\leq8$ are derived. The methods developed enable
such a calculation for arbitrary $k$. The single-series representation for
subcomponent $\psi_{3,0}^{(2e)}$ missed in the previous paper is developed. It
is shown how to express some of the complicated subcomponents through the
hypergeometric and the elementary functions, as well. Using the specific
operator of the Wolfram Mathematica, the simple explicit representations for
some complex mathematical objects under consideration are obtained.


title: QCD Axion as a Bridge Between String Theory and Flavor Physics

abstract:
  We construct a string-inspired model, motivated by the flavored Peccei-Quinn
(PQ) axions, as a useful bridge between flavor physics and string theory. The
key feature is two anomalous gauged $U(1)$ symmetries, responsible for both the
fermion mass hierarchy problem of the standard model and the strong CP problem,
that combine string theory with flavor physics and severely constrain the form
of the F- and D-term contributions to the potential. In the context of
supersymmetric moduli stabilization we stabilize the size moduli with positive
masses while leaving two axions massless and one axion massive. We demonstrate
that, while the massive gauge bosons eat the two axionic degrees of freedom,
two axionic directions survive to low energies as the flavored PQ axions.


title: Sato-Tate Distributions

abstract:
  In this expository article we explore the relationship between Galois
representations, motivic L-functions, Mumford-Tate groups, and Sato-Tate
groups, and we give an explicit formulation of the Sato-Tate conjecture for
abelian varieties as an equidistribution statement relative to the Sato-Tate
group. We then discuss the classification of Sato-Tate groups of abelian
varieties of dimension g <= 3 and compute some of the corresponding trace
distributions. This article is based on a series of lectures presented at the
2016 Arizona Winter School held at the Southwest Center for Arithmetic
Geometry.


title: Zarankiewicz Numbers and Bipartite Ramsey Numbers

abstract:
  The Zarankiewicz number $z(b;s)$ is the maximum size of a subgraph of
$K_{b,b}$ which does not contain $K_{s,s}$ as a subgraph. The two-color
bipartite Ramsey number $b(s,t)$ is the smallest integer $b$ such that any
coloring of the edges of $K_{b,b}$ with two colors contains a $K_{s,s}$ in the
first color or a $K_{t,t}$ in the second color.
  In this work, we design and exploit a computational method for bounding and
computing Zarankiewicz numbers. Using it, we obtain several new values and
bounds on $z(b;s)$ for $3 \le s \le 6$. Our approach and new knowledge about
$z(b;s)$ permit us to improve some of the results on bipartite Ramsey numbers
obtained by Goddard, Henning and Oellermann in 2000. In particular, we compute
the smallest previously unknown bipartite Ramsey number, $b(2,5)=17$. Moreover,
we prove that up to isomorphism there exists a unique $2$-coloring which
witnesses the lower bound $16<b(2,5)$. We also find tight bounds on $b(2,2,3)$,
$17 \le b(2,2,3) \le 18$, which currently is the smallest open case for
multicolor bipartite Ramsey numbers.


title: Machian derivation of the Friedmann equation

abstract:
  Despite all fundamental objections against Newtonian concepts in cosmology,
the Friedmann equation derives from these in an astoundingly simple way through
application of the shell theorem and conservation of Newtonian energy in an
infinite universe. However, Friedmann universes in general posses a finite
gravitational horizon, as a result of which the application of the shell
theorem fails and the Newtonian derivation collapses. We show that in the
presence of a gravitational horizon the Friedmann equation can be derived from
a Machian definition of kinetic energy, without invoking the shell theorem.
Whereas in the Newtonian case total energy translates to curvature energy
density, in the Machian case total energy takes on different identities,
depending on the evolution of the horizon; we show that in the de Sitter
universe Machian total energy density is constant, i.e. appears as cosmological
constant.


title:
GigaGauss solenoidal magnetic field inside of bubbles excited in
  under-dense plasma

abstract:
  Magnetic fields have a crucial role in physics at all scales, from
astrophysics to nanoscale phenomena. Large fields, constant or pulsed, allow
investigation of material in extreme conditions, opening up plethora of
practical applications based on ultra-fast process, and studying phenomena
existing only in exotic astro-objects like neutron stars or pulsars. Magnetic
fields are indispensable in particle accelerators, for guiding the relativistic
particles along a curved trajectory and for making them radiate in synchrotron
light sources and in free electron lasers. In the presented paper we propose a
novel and effective method for generating solenoidal quasi-static magnetic
field on the GigaGauss level and beyond, in under-dense plasma, using
screw-shaped high intensity laser pulses. In comparison with already known
techniques which typically rely on interaction with over-dense or solid
targets, where radial or toroidal magnetic field localized at the stationary
target were generated, our method allows to produce gigantic solenoidal fields,
which is co-moving with the driving laser pulse and collinear with accelerated
electrons. The solenoidal field is quasi-stationary in the reference frame of
the laser pulse and can be used for guiding electron beams and providing
synchrotron radiation beam emittance cooling for laser-plasma accelerated
electron and positron beams, opening up novel opportunities for designs of the
light sources, free electron lasers, and high energy colliders based on laser
plasma acceleration.


title: Multiplicative Zagreb indices of cacti

abstract:
  Let $\prod(G)$ be Multiplicative Zagreb index of a graph G. A connected graph
is a cactus graph if and only if any two of its cycles have at most one vertex
in common, which has been the interest of researchers in the filed of material
chemistry and graph theory. In this paper, we use a new tool to the obtain
upper and lower bounds of $\prod(G)$ for all cactus graphs and characterize the
corresponding extremal graphs.


title: Linear structures in nonlinear optimal control

abstract:
  We investigate optimal control of dynamical systems which are affine, i.e.,
linear in control, but nonlinear in state. The control task is to enforce the
system state to follow a prescribed desired trajectory as closely as possible,
a task also known as optimal trajectory tracking. To obtain well-behaved
solutions to optimal control, a regularization term with coefficient
$\varepsilon$ must be included in the cost functional. Assuming $\varepsilon$
to be small, we reinterpret affine optimal control problems as singularly
perturbed differential equations. Performing a singular perturbation expansion,
approximations for the optimal tracking of arbitrary desired trajectories are
derived. For $\varepsilon=0$, the state trajectory may become discontinuous,
and the control may diverge. On the other hand, the analytical treatment
becomes exact. We identify the conditions leading to linear evolution
equations. These result in exact analytical solutions for an entire class of
nonlinear trajectory tracking problems. The class comprises, among others,
mechanical control systems in one spatial dimension and the FitzHugh-Nagumo
model with a control acting on the activator.


title: Fun with higher-loop Feynman diagrams

abstract:
  We review recent progress that we have achieved in evaluating the class of
fully massive vacuum integrals at five loops. After discussing topics that
arise in classification, evaluation and algorithmic codification of this
specific set of Feynman integrals, we present some selected new results for
their expansions around $4-2\varepsilon$ dimensions.


title:
The Hagedorn-type structure of the non-perturbative gluon pressure
  within the mass gap approach to QCD

abstract:
  We have shown in detail that the low-temperature expansion for the
non-perturbative gluon pressure has the Hagedorn-type structure. Its
exponential spectrum of all the effective gluonic excitations are expressed in
terms of the mass gap. It is this which is responsible for the large-scale
dynamical structure of the QCD ground state. The non-perturbative gluon
pressure properly scaled has a maximum at some characteristic temperature
$T=T_c = 266.5 \ \MeV$, separating the low- and high temperature regions. It is
exponentially suppressed in the $T \rightarrow 0$ limit. In the $T \rightarrow
T_c$ limit it demonstrates an exponential rise in the number of dynamical
degrees of freedom. Its exponential increase behavior with temperature is valid
only up to $T_c$. This makes it possible to identify $T_c$ with the
Hagedorn-type transition temperature $T_h$, i.e., to put $T_h=T_c$ within the
mass gap approach to QCD at finite temperature. The non-perturbative gluon
pressure has a complicated dependence on the mass gap and temperature near
$T_c$ and up to approximately $(4-5)T_c$. In the limit of very high
temperatures $T \rightarrow \infty$ its polynomial character is confirmed,
containing the terms proportional to $T^2$ and $T$, multiplied by the
corresponding powers of the mass gap. \end{abstract}


title:
Analyses of whole transverse momentum distributions in $p\bar p$ and
  $pp$ collisions by using a modified version of Hagedorn's formula

abstract:
  To describe the transverse distribution of charged hadrons at 1.96 TeV
observed by the CDF collaboration, we propose a formula with two component,
namely, hadron gas distributions and inverse power laws. The data collected at
0.9, 2.76, 7, and 13 TeV by the ALICE, CMS, and ATLAS collaborations are also
analyzed using various models including single component models as well as two
component models. The results by using modified version of Hagedorn's formula
are compared with those by using the two component model proposed by Bylinkin,
Rostovtsev and Ryskin (BRR). Moreover, we show that there is an interesting
interrelation among our the modified version of Hagedorn's formula, a formula
proposed by ATLAS collaboration, and the BRR formula.


title:
Mass determination of K2-19b and K2-19c from radial velocities and
  transit timing variations

abstract:
  We present FIES@NOT, HARPS-N@TNG, and HARPS@ESO-3.6m radial velocity
follow-up observations of K2-19, a compact planetary system hosting three
planets, of which the two larger ones, namely K2-19b and K2-19c, are close to
the 3:2 mean motion resonance. An analysis considering only the radial velocity
measurements detects K2-19b, the largest and most massive planet in the system,
with a mass of $54.8\pm7.5$~M${_\oplus}$ and provides a marginal detection of
K2-19c, with a mass of M$_\mathrm{c}$=$5.9^{+7.6}_{-4.3}$ M$_\oplus$. We also
used the TRADES code to simultaneously model both our RV measurements and the
existing transit-timing measurements. We derived a mass of
$54.4\pm8.9$~M${_\oplus}$ for K2-19b and of $7.5^{+3.0}_{-1.4}$~M${_\oplus}$
for K2-19c. A prior K2-19b mass estimated by Barros et al. 2015, based
principally on a photodynamical analysis of K2-19's light-curve, is consistent
with both analysis, our combined TTV and RV analysis, and with our analysis
based purely on RV measurements. Differences remain mainly in the errors of the
more lightweight planet, driven likely by the limited precision of the RV
measurements and possibly some yet unrecognized systematics.


title: Coulomb field in a constant electromagnetic background

abstract:
  Nonlinear Maxwell equations are written up to the third-power deviations from
a constant-field background, valid within any local nonlinear electrodynamics
including QED with a Euler-Heisenberg (EH) effective Lagrangian. The linear
electric response to an imposed static finite-sized charge is found in the
vacuum filled by an arbitrary combination of constant and homogeneous electric
and magnetic fields. The modified Coulomb field and corrections to the total
charge and to the charge density are given in terms of derivatives of the
effective Lagrangian with respect to the field invariants. These are
specialized for the EH Lagrangian.


title:
Time evolutions of scalar field perturbations in $D$-dimensional
  Reissner-Nordstr\"om Anti-de Sitter black holes

abstract:
  Reissner-Nordstr\"om Anti-de Sitter (RNAdS) black holes are unstable against
the charged scalar field perturbations due to the well-known superradiance
phenomenon. We present the time domain analysis of charged scalar field
perturbations in the RNAdS black hole background in general dimensions. We show
that the instabilities of charged scalar field can be explicitly illustrated
from the time profiles of evolving scalar field. By using the Prony method to
fit the time evolution data, we confirm the mode that dominates the long time
behavior of scalar field is in accordance with the quasinormal mode from the
frequency domain analysis. The superradiance origin of the instability can also
be demonstrated by comparing the real part of the dominant mode with the
superradiant condition of charged scalar field. It is shown that all the
unstable modes are superradiant, which is consistent with the analytical result
in the frequency domain analysis. Furthermore, we also confirm there exists the
rapid exponential growing modes in the RNAdS case, which makes the RNAdS black
hole a good test ground to investigate the nonlinear evolution of superradiant
instability.


title:
Bayesian Estimation of the Threshold of a Generalised Pareto
  Distribution for Heavy-Tailed Observations

abstract:
  In this paper, we discuss a method to define prior distributions for the
threshold of a generalised Pareto distribution, in particular when its
applications are directed to heavy-tailed data. We propose to assign prior
probabilities to the order statistics of a given set of observations. In other
words, we assume that the threshold coincides to one of the data points. We
show two ways of defining a prior: by assigning equal mass to each order
statistic, that is a uniform prior, and by considering the worth that every
order statistic has in representing the true threshold. Both proposed priors
represent a scenario of minimal information, and we study their adequacy
through simulation exercises and by analysing two applications from insurance
and from finance.


title: Representation theory of partial relation extensions

abstract:
  Let C be a finite dimensional algebra of global dimension at most two. A
partial relation extension is any trivial extension of C by a direct summand of
its relation C-C-bimodule. When C is a tilted algebra, this construction
provides an intermediate class of algebras between tilted and cluster tilted
algebras. The text investigates the representation theory of partial relation
extensions. When C is tilted, any complete slice in the Auslander-Reiten quiver
of C embeds as a local slice in the Auslander-Reiten quiver of the partial
relation extension; Moreover, a systematic way of producing partial relation
extensions is introduced by considering direct sum decompositions of the
potential arising from a minimal system of relations of C.


title:
Conductance measurement of spin-orbit coupling in the two-dimensional
  electron systems with in-plane magnetic field

abstract:
  We consider determination of spin-orbit (SO) coupling constants for the
two-dimensional electron gas from measurements of electric properties in
rotated in-plane magnetic field. %Due to the interplay Due to the SO coupling
the electron backscattering is accompanied by spin precession and spin mixing
of the incident and reflected electron waves. The competition of the external
and SO-related magnetic fields produces a characteristic conductance dependence
on the in-plane magnetic field value and orientation which, in turn, allows for
determination of the absolute value of the effective spin-orbit coupling
constant as well as the ratio of the Rashba and Dresselhaus SO contributions.


title:
Plane density of induced vacuum charge in a supercritical Coulomb
  potential

abstract:
  An expression for the density of a planar induced vacuum charge is obtained
in a strong Coulomb potential in coordinate space. Treatment is based on a
self-adjoint extension approach for constructing of the Green's function of a
charged fermion in this potential. Induced vacuum charge density is calculated
and analyzed at the subcritical and supercritical Coulomb potentials for
massless and massive fermions. The behavior of the obtained vacuum charge
density is investigated at long and short distances from the Coulomb center.
The induced vacuum charge has a screening sign. Screening of a Coulomb impurity
in graphene is briefly discussed. We calculate the real vacuum polarization
charge density that acquires the quantum electrodynamics vacuum in the
supercritical Coulomb potential due to the so-called real vacuum polarization.
It is shown that the vacuum charge densities essentially differ in massive and
massless cases. We expect that our results can, as a matter of principle, be
tested in graphene with a supercritical Coulomb impurity.


title:
Feature extraction using Latent Dirichlet Allocation and Neural
  Networks: A case study on movie synopses

abstract:
  Feature extraction has gained increasing attention in the field of machine
learning, as in order to detect patterns, extract information, or predict
future observations from big data, the urge of informative features is crucial.
The process of extracting features is highly linked to dimensionality reduction
as it implies the transformation of the data from a sparse high-dimensional
space, to higher level meaningful abstractions. This dissertation employs
Neural Networks for distributed paragraph representations, and Latent Dirichlet
Allocation to capture higher level features of paragraph vectors. Although
Neural Networks for distributed paragraph representations are considered the
state of the art for extracting paragraph vectors, we show that a quick topic
analysis model such as Latent Dirichlet Allocation can provide meaningful
features too. We evaluate the two methods on the CMU Movie Summary Corpus, a
collection of 25,203 movie plot summaries extracted from Wikipedia. Finally,
for both approaches, we use K-Nearest Neighbors to discover similar movies, and
plot the projected representations using T-Distributed Stochastic Neighbor
Embedding to depict the context similarities. These similarities, expressed as
movie distances, can be used for movies recommendation. The recommended movies
of this approach are compared with the recommended movies from IMDB, which use
a collaborative filtering recommendation approach, to show that our two models
could constitute either an alternative or a supplementary recommendation
approach.


title: Liquid and solid phases of 3He on graphite

abstract:
  Recent heat-capacity experiments show quite unambiguously the existence of a
liquid $^3$He phase adsorbed on graphite. This liquid is stable at an extremely
low density, possibly one of the lowest found in Nature. Previous theoretical
calculations of the same system, and in strictly two dimensions, agree with the
result that this liquid phase is not stable and the system is in the gas phase.
We calculated the phase diagram of normal $^3$He adsorbed on graphite at $T=0$
using quantum Monte Carlo methods. Considering a fully corrugated substrate we
observe that at densities lower that 0.006 \AA$^{-2}$ the system is a very
dilute gas, that at that density is in equilibrium with a liquid of density
0.014 \AA$^{-2}$. Our prediction matches very well the recent experimental
findings on the same system. On the contrary, when a flat substrate is
considered, no gas-liquid coexistence is found, in agreement with previous
calculations. We also report results on the different solid structures, and the
corresponding phase transitions that appear at higher densities.


title: The symmetric invariants of centralizers and Slodowy grading II

abstract:
  Let $\mathfrak{g}$ be a finite-dimensional simple Lie algebra of rank $\ell$
over an algebraically closed field $\Bbbk$ of characteristic zero, and let
$(e,h,f)$ be an $\mathfrak{sl}_2$-triple of g. Denote by $\mathfrak{g}^{e}$ the
centralizer of $e$ in $\mathfrak{g}$ and by ${\rm
S}(\mathfrak{g}^{e})^{\mathfrak{g}^{e}}$ the algebra of symmetric invariants of
$\mathfrak{g}^{e}$. We say that $e$ is good if the nullvariety of some $\ell$
homogenous elements of ${\rm S}(\mathfrak{g}^{e})^{\mathfrak{g}^{e}}$ in
$(\mathfrak{g}^{e})^{*}$ has codimension $\ell$. If $e$ is good then ${\rm
S}(\mathfrak{g}^{e})^{\mathfrak{g}^{e}}$ is a polynomial algebra. In this
paper, we prove that the converse of the main result of arXiv:1309.6993 is
true. Namely, we prove that $e$ is good if and only if for some homogenous
generating sequence $q_1,\ldots,q_\ell$, the initial homogenous components of
their restrictions to $e+\mathfrak{g}^{f}$ are algebraically independent over
$\Bbbk$.


title: On the importance and feasibility of forecasting data in sensors

abstract:
  The first generation of wireless sensor nodes have constrained energy
resources and computational power, which discourages applications to process
any task other than measuring and transmitting towards a central server.
However, nowadays, sensor networks tend to be incorporated into the Internet of
Things and the hardware evolution may change the old strategy of avoiding data
computation in the sensor nodes. In this paper, we show the importance of
reducing the number of transmissions in sensor networks and present the use of
forecasting methods as a way of doing it. Experiments using real sensor data
show that state-of-the-art forecasting methods can be successfully implemented
in the sensor nodes to keep the quality of their measurements and reduce up to
30% of their transmissions, lowering the channel utilization. We conclude that
there is an old paradigm that is no longer the most beneficial, which is the
strategy of always transmitting a measurement when it differs by more than a
threshold from the last one transmitted. Adopting more complex forecasting
methods in the sensor nodes is the alternative to significantly reduce the
number of transmissions without compromising the quality of their measurements,
and therefore support the exponential growth of the Internet of Things.


title: Programmable Multi-Node Quantum Network Design and Simulation

abstract:
  Software-defined networking offers a device-agnostic programmable framework
to encode new network functions. Externally centralized control plane
intelligence allows programmers to write network applications and to build
functional network designs. OpenFlow is a key protocol widely adopted to build
programmable networks because of its programmability, flexibility and ability
to interconnect heterogeneous network devices. We simulate the functional
topology of a multi-node quantum network that uses programmable network
principles to manage quantum metadata for protocols such as teleportation,
superdense coding, and quantum key distribution. We first show how the OpenFlow
protocol can manage the quantum metadata needed to control the quantum channel.
We then use numerical simulation to demonstrate robust programmability of a
quantum switch via the OpenFlow network controller while executing an
application of superdense coding. We describe the software framework
implemented to carry out these simulations and we discuss near-term efforts to
realize these applications.


title: Landmark-Based Plan Recognition

abstract:
  Recognition of goals and plans using incomplete evidence from action
execution can be done efficiently by using planning techniques. In many
applications it is important to recognize goals and plans not only accurately,
but also quickly. In this paper, we develop a heuristic approach for
recognizing plans based on planning techniques that rely on ordering
constraints to filter candidate goals from observations. These ordering
constraints are called landmarks in the planning literature, which are facts or
actions that cannot be avoided to achieve a goal. We show the applicability of
planning landmarks in two settings: first, we use it directly to develop a
heuristic-based plan recognition approach; second, we refine an existing
planning-based plan recognition approach by pre-filtering its candidate goals.
Our empirical evaluation shows that our approach is not only substantially more
accurate than the state-of-the-art in all available datasets, it is also an
order of magnitude faster.


title:
RIGA at SemEval-2016 Task 8: Impact of Smatch Extensions and
  Character-Level Neural Translation on AMR Parsing Accuracy

abstract:
  Two extensions to the AMR smatch scoring script are presented. The first
extension com-bines the smatch scoring script with the C6.0 rule-based
classifier to produce a human-readable report on the error patterns frequency
observed in the scored AMR graphs. This first extension results in 4% gain over
the state-of-art CAMR baseline parser by adding to it a manually crafted
wrapper fixing the identified CAMR parser errors. The second extension combines
a per-sentence smatch with an en-semble method for selecting the best AMR graph
among the set of AMR graphs for the same sentence. This second modification
au-tomatically yields further 0.4% gain when ap-plied to outputs of two
nondeterministic AMR parsers: a CAMR+wrapper parser and a novel character-level
neural translation AMR parser. For AMR parsing task the character-level neural
translation attains surprising 7% gain over the carefully optimized word-level
neural translation. Overall, we achieve smatch F1=62% on the SemEval-2016
official scor-ing set and F1=67% on the LDC2015E86 test set.


title:
Discovery of a Metal-Poor Field Giant with a Globular Cluster
  Second-Generation Abundance Pattern

abstract:
  We report on detection, from observations obtained with the APOGEE
spectroscopic survey, of a metal-poor ([Fe/H] $= -1.3$ dex) field giant star
with an extreme Mg-Al abundance ratio ([Mg/Fe] $= -0.31$ dex; [Al/Fe] $= 1.49$
dex). Such low Mg/Al ratios are seen only among the second-generation
population of globular clusters, and are not present among Galactic disk field
stars. The light element abundances of this star, 2M16011638-1201525, suggest
that it could have been born in a globular cluster. We explore several origin
scenarios, in particular studying the orbit of the star to check the
probability of it being kinematically related to known globular clusters. We
performed simple orbital integrations assuming the estimated distance of
2M16011638-1201525 and the available six-dimensional phase-space coordinates of
63 globular clusters, looking for close encounters in the past with a minimum
distance approach within the tidal radius of each cluster. We found a very low
probability that 2M16011638-1201525 was ejected from most globular clusters;
however, we note that the best progenitor candidate to host this star is
globular cluster $\omega$ Centauri (NGC 5139). Our dynamical investigation
demonstrates that 2M16011638-1201525 reaches a distance $|Z_{max}| < 3 $ kpc
from the Galactic plane and a minimum and maximum approach to the Galactic
center of $R_{min}<0.62$ kpc and $R_{max}<7.26$ kpc in an eccentric
($e\sim0.53$) and retrograde orbit. Since the extreme chemical anomaly of
2M16011638-1201525 has also been observed in halo field stars, this object
could also be considered a halo contaminant, likely been ejected into the Milky
Way disk from the halo. We conclude that, 2M16011638-20152 is also
kinematically consistent with the disk but chemically consistent with halo
field stars.


title:
Limits on the effective quark radius from inclusive $ep$ scattering at
  HERA

abstract:
  The high-precision HERA data allows searches up to TeV scales for Beyond the
Standard Model contributions to electron-quark scattering. Combined
measurements of the inclusive deep inelastic cross sections in neutral and
charged current $ep$ scattering corresponding to a luminosity of around 1
fb$^{-1}$ have been used in this analysis. A new approach to the beyond the
Standard Model analysis of the inclusive $ep$ data is presented; simultaneous
fits of parton distribution functions together with contributions of "new
physics" processes were performed. Results are presented considering a finite
radius of quarks within the quark form-factor model. The resulting 95% C.L.
upper limit on the effective quark radius is $0.43\cdot 10^{-16}$ cm.


title: Option Pricing in the Moderate Deviations Regime

abstract:
  We consider call option prices in diffusion models close to expiry, in an
asymptotic regime ("moderately out of the money") that interpolates between the
well-studied cases of at-the-money options and out-of-the-money fixed-strike
options. First and higher order small-time moderate deviation estimates of call
prices and implied volatility are obtained. The expansions involve only simple
expressions of the model parameters, and we show in detail how to calculate
them for generic local and stochastic volatility models. Some numerical
examples for the Heston model illustrate the accuracy of our results.


title: New Bounds for Facial Nonrepetitive Colouring

abstract:
  We prove that the facial nonrepetitive chromatic number of any outerplanar
graph is at most 11 and of any planar graph is at most 22.


title: The variety of subadditive functions for finite group schemes

abstract:
  For a finite group scheme, the subadditive functions on finite dimensional
representations are studied. It is shown that the projective variety of the
cohomology ring can be recovered from the equivalence classes of subadditive
functions. Using Crawley-Boevey's correspondence between subadditive functions
and endofinite modules, we obtain an equivalence relation on the set of point
modules introduced in our joint work with Iyengar and Pevtsova. This
corresponds to the equivalence relation on pi-points introduced by Friedlander
and Pevtsova.


title:
Non-Existence of Theta-Shaped Self-Similarly Shrinking Networks Moving
  by Curvature

abstract:
  We prove that there are no networks homeomorphic to the Greek "theta" letter
(a double cell) embedded in the plane with two triple junctions with angles of
$120$ degrees, such that under the motion by curvature they are self-similarly
shrinking.
  This fact completes the classification of the self-similarly shrinking
networks in the plane with at most two triple junctions.


title: Inverse Funnel Effect of Excitons in Strained Black Phosphorus

abstract:
  We study the effects of strain on the properties and dynamics of Wannier
excitons in monolayer (phosphorene) and few-layer black phosphorus (BP), a
promising two-dimensional material for optoelectronic applications due to its
high mobility, mechanical strength and strain-tuneable direct band gap. We
compare the results to the case of molybdenum disulphide (MoS$_2$) monolayers.
We find that the so-called funnel effect, i.e. the possibility of controlling
exciton motion by means of inhomogeneous strains, is much stronger in few-layer
BP than in MoS$_2$ monolayers and, crucially, is of opposite sign. Instead of
excitons accumulating isotropically around regions of high tensile strain like
in MoS$_2$, excitons in BP are pushed away from said regions. This
\emph{inverse} funnel effect is moreover highly anisotropic, with much larger
funnel distances along the armchair crystallographic direction, leading to a
directional focusing of exciton flow. A strong inverse funnel effect could
enable simpler designs of funnel solar cells, and offer new possibilities for
the manipulation and harvesting of light.


title: Age of Information: The Gamma Awakening

abstract:
  We consider a scenario where a monitor is interested in being up to date with
respect to the status of some system which is not directly accessible to this
monitor. However, we assume a source node has access to the status and can send
status updates as packets to the monitor through a communication system. We
also assume that the status updates are generated randomly as a Poisson
process. The source node can manage the packet transmission to minimize the age
of information at the destination node, which is defined as the time elapsed
since the last successfully transmitted update was generated at the source. We
use queuing theory to model the source-destination link and we assume that the
time to successfully transmit a packet is a gamma distributed service time. We
consider two packet management schemes: LCFS (Last Come First Served) with
preemption and LCFS without preemption. We compute and analyze the average age
and the average peak age of information under these assumptions. Moreover, we
extend these results to the case where the service time is deterministic.


title: A note on the polynomial-like iterative equations order

abstract:
  We show that, under reasonable assumptions, two negative roots can be
eliminated from the characteristic equation of a polynomial-like iterative
equation. This result gives a new case where we may lower the order of such an
equation.


title: Unsatisfiable hitting clause-sets with three more clauses than variables

abstract:
  The topic of this paper is the Finiteness Conjecture for minimally
unsatisfiable clause-sets (MUs), stating that for each fixed deficiency (number
of clauses minus number of variables) there are only finitely many patterns,
given a certain basic reduction (generalising unit-clause propagation). We
focus our attention on hitting clause-sets (every two clauses have at least one
clash), where the conjecture says that there are only finitely many isomorphism
types. The Finiteness Conjecture is here known to hold for deficiency at most
2, and we now prove it for deficiency 3. An important tool is the notion of
"(ir)reducible clause-sets": we show how to reduce the general question to the
irreducible case, and then solve this case (for deficiency 3). This notion
comes from number theory (Korec 1984, Berger et al 1990), and we rediscovered
it in our studies.


title:
A Hubbard model for ultracold bosonic atoms interacting via
  zero-point-energy induced three-body interactions

abstract:
  We show that for ultra-cold neutral bosonic atoms held in a three-dimensional
periodic potential or optical lattice, a Hubbard model with dominant,
attractive three-body interactions can be generated. In fact, we derive that
the effect of pair-wise interactions can be made small or zero starting from
the realization that collisions occur at the zero-point energy of an optical
lattice site and the strength of the interactions is energy dependent from
effective-range contributions. We determine the strength of the two- and
three-body interactions for scattering from van-der-Waals potentials and near
Fano-Feshbach resonances. For van-der-Waals potentials, which for example
describe scattering of alkaline-earth atoms, we find that the pair-wise
interaction can only be turned off for species with a small negative scattering
length, leaving the $^{88}$Sr isotope a possible candidate. Interestingly, for
collisional magnetic Feshbach resonances this restriction does not apply and
there often exist magnetic fields where the two-body interaction is small. We
illustrate this result for several known narrow resonances between alkali-metal
atoms as well as chromium atoms. Finally, we compare the size of the three-body
interaction with hopping rates and describe limits due to three-body
recombination.


title:
Implementation of the Programming Language Dino -- A Case Study in
  Dynamic Language Performance

abstract:
  The article gives a brief overview of the current state of programming
language Dino in order to see where its stands between other dynamic
programming languages. Then it describes the current implementation, used tools
and major implementation decisions including how to implement a stable,
portable and simple JIT compiler.
  We study the effect of major implementation decisions on the performance of
Dino on x86-64, AARCH64, and Powerpc64. In brief, the performance of some model
benchmark on x86-64 was improved by $\textbf{3.1}$ times after moving from a
stack based virtual machine to a register-transfer architecture, a further
$\textbf{1.5}$ times by adding byte code combining, a further $\textbf{2.3}$
times through the use of JIT, and a further $\textbf{4.4}$ times by performing
type inference with byte code specialization, with a resulting overall
performance improvement of about $\textbf{47}$ times. To put these results in
context, we include performance comparisons of Dino with widely used
implementations of Ruby, Python 3, PyPy and JavaScript on the three platforms
mentioned above.
  The goal of this article is to share the experience of Dino implementation
with other dynamic language implementors in hope that it can help them to
improve implementation of popular dynamic languages to make them probably
faster and more portable, using less developer resources, and may be to avoid
some mistakes and wrong directions which were experienced during Dino
development.


title:
The radial dependence of pebble accretion rates: A source of diversity
  in planetary systems I. Analytical formulation

abstract:
  Context. The classical "planetesimal" accretion scenario for the formation of
planets has recently evolved with the idea that "pebbles", centimeter- to
meter-sized icy grains migrating in protoplanetary disks, can control
planetesimal and/or planetary growth.
  Aims. We investigate how pebble accretion depends on disk properties and
affects the formation of planetary systems
  Methods. We construct analytical models of pebble accretion onto planetary
embryos that consistently account for the mass and orbital evolution of the
pebble flow and reflect disk structure.
  Results. We derive simple formulas for pebble accretion rates in the
so-called "settling" regime for planetary embryos with more than 100 km in
size. For relatively smaller embryos or in outer disk regions, the accretion
mode is 3D, meaning that the thickness of the pebble flow must be taken into
account, and resulting in an accretion rate that is independent of the embryo
mass. For larger embryos or in inner regions, the accretion is in a 2D mode,
i.e., the pebble disk may be considered to be infinitely thin. We show that the
radial dependence of the pebble accretion rata is different (even the sign of
the power-law exponent changes) for different disk conditions such as the disk
heating source (viscous heating or stellar irradiation), the drag law (Stokes
or Epstein, and weak or strong coupling), and in the 2D or 3D accretion modes.
We also discuss the effect of the sublimation/destruction of icy pebbles inside
the snow line.
  Conclusions. Pebble accretion easily produces a large diversity of planetary
systems. In other words, to correctly infer the results of planet formation
through pebble accretion, detailed prescriptions of disk evolution and pebble
growth, sublimation/destruction and migration are required.


title: Collaborative Distributed Hypothesis Testing

abstract:
  A collaborative distributed binary decision problem is considered. Two
statisticians are required to declare the correct probability measure of two
jointly distributed memoryless process, denoted by $X^n=(X_1,\dots,X_n)$ and
$Y^n=(Y_1,\dots,Y_n)$, out of two possible probability measures on finite
alphabets, namely $P_{XY}$ and $P_{\bar{X}\bar{Y}}$. The marginal samples given
by $X^n$ and $Y^n$ are assumed to be available at different locations. The
statisticians are allowed to exchange limited amount of data over multiple
rounds of interactions, which differs from previous work that deals mainly with
unidirectional communication. A single round of interaction is considered
before the result is generalized to any finite number of communication rounds.
A feasibility result is shown, guaranteeing the feasibility of an error
exponent for general hypotheses, through information-theoretic methods. The
special case of testing against independence is revisited as being an instance
of this result for which also an unfeasibility result is proven. A second
special case is studied where zero-rate communication is imposed (data
exchanges grow sub-exponentially with $n$) for which it is shown that
interaction does not improve asymptotic performance.


title:
Global sensitivity analysis of battery equivalent circuit model
  parameters

abstract:
  This paper considers one of the most commonly used equivalent circuit models
(ECMs) for lithium-ion batteries and investigates the sensitivity of the model
output to changes of model parameters using the Morris method. Experiments are
carried out on a lithium-ion cell with nickel manganese cobalt oxide (NMC)
electrode and parameters of the model are identified in the state of charge
(SOC) range [100%,10%]. Although all the model parameters do vary with SOC,
global sensitivity analysis reveals that the uncertainties of some of the
parameters generate very little uncertainty in the voltage output, implying
that those parameters can be taken as constants without compromising the
accuracy of the model. This is further confirmed by experimental validation.


title:
Singularly perturbed fully nonlinear parabolic problems and their
  asymptotic free boundaries

abstract:
  We study fully nonlinear singularly perturbed parabolic equations and their
limits. We show that solutions are uniformly Lipschitz continuous in space and
H\"{o}lder continuous in time. For the limiting free boundary problem, we
analyse the behaviour of solutions near the free boundary. We show, in
particular, that, at each time level, the free boundary is a porous set and,
consequently, is of Lebesgue measure zero. For rotationally invariant
operators, we also derive the limiting free boundary condition.


title: Single shot polarimetry imaging of multicore fiber

abstract:
  We report an experimental test of single-shot polarimetry applied to the
problem of real-time monitoring of the output polarization states in each core
within a multicore fiber bundle. The technique uses a stress-engineered optical
element together with an analyzer and provides a point spread function whose
shape unambiguously reveals the polarization state of a point source. We
implement this technique to monitor, simultaneously and in real time, the
output polarization states of up to 180 single mode fiber cores in both
conventional and polarization-maintaining bundles. We demonstrate also that the
technique can be used to fully characterize the polarization properties of each
individual ber core including eigen-polarization states, phase delay and
diattenuation.


title: Fixed point theorems for Meir-Keeler type contractions in metric spaces

abstract:
  We establish a simple and powerful lemma that provides a criterion for
sequences in metric spaces to be Cauchy. Using the lemma, it is then easily
verified that the Picard iterates $\{T^nx\}$, where $T$ is a contraction or
asymptotic contraction of Meir-Keeler type, are Cauchy sequences. As an
application, new and simple proofs for several known results on the existence
of a fixed point for continuous and asymptotically regular self-maps of
complete metric spaces satisfying a contractive condition of Meir-Keeler type
are derived. These results include the remarkable fixed point theorem of
Proinov in [Petko D. Proinov, Fixed point theorems in metric spaces, Nonlinear
Anal. \textbf{46} (2006) 546--557], the fixed point theorem of Suzuki for
asymptotic contractions in [Tomonari Suzuki, A definitive result on asymptotic
contractions, J. Math. Anal. Appl. \textbf{335} (2007) 707--715], and others.
We also prove some new fixed point theorems.


title: Designing spin channel geometries for entanglement distribution

abstract:
  We investigate different geometries of spin-1/2 nitrogen impurity channels
for distributing entanglement between pairs of remote nitrogen vacancy centers
(NVs) in diamond. To go beyond the system size limits imposed by directly
solving the master equation, we implement a matrix product operator method to
describe the open system dynamics. In so doing, we provide an early
demonstration of how this technique can be used for simulating real systems.
For a fixed NV separation there is an interplay between incoherent impurity
spin decay and coherent entanglement transfer: Long transfer time, few-spin
systems experience strong dephasing that can be overcome by increasing the
number of spins in the channel. We examine how missing spins and disorder in
the coupling strengths affect the dynamics, finding that in some regimes a spin
ladder is a more effective conduit for information than a single spin chain.


title:
The Discovery of Mutated Driver Pathways in Cancer: Models and
  Algorithms

abstract:
  The pathogenesis of cancer in human is still poorly understood. With the
rapid development of high-throughput sequencing technologies, huge volumes of
cancer genomics data have been generated. Deciphering those data poses great
opportunities and challenges to computational biologists. One of such key
challenges is to distinguish driver mutations, genes as well as pathways from
passenger ones. Mutual exclusivity of gene mutations (each patient has no more
than one mutation in the gene set) has been observed in various cancer types
and thus has been used as an important property of a driver gene set or
pathway. In this article, we aim to review the recent development of
computational models and algorithms for discovering driver pathways or modules
in cancer with the focus on mutual exclusivity-based ones.


title:
The phase transitions of the random-cluster and Potts models on slabs
  with $q \geq 1$ are sharp

abstract:
  We prove sharpness of the phase transition for the random-cluster model with
$q \geq 1$ on graphs of the form $\mathcal{S} := \mathcal{G} \times S$, where
$\mathcal{G}$ is a planar lattice with mild symmetry assumptions, and $S$ a
finite graph. That is, for any such graph and any $q \geq 1$, there exists some
parameter $p_c = p_c(\mathcal{S}, q)$, below which the model exhibits
exponential decay and above which there exists a.s. an infinite cluster. The
result is also valid for the random-cluster model on planar graphs with long
range, compactly supported interaction. It extends to the Potts model via the
Edwards-Sokal coupling.


title:
Bound states and entanglement generation in waveguide quantum
  electrodynamics

abstract:
  We investigate the behavior of two quantum emitters (two-level atoms)
embedded in a linear waveguide, in a quasi-one-dimensional configuration. Since
the atoms can emit, absorb and reflect radiation, the pair can spontaneously
relax towards an entangled bound state, under conditions in which a single atom
would instead decay. We analyze the properties of these bound states, which
occur for resonant values of the interatomic distance, and discuss their
relevance with respect to entanglement generation. The stability of such states
close to the resonance is studied, as well as the properties of non resonant
bound states, whose energy is below the threshold for photon propagation.


title:
Fine detrending of raw Kepler and MOST photometric data of KIC 6950556
  and HD 37633

abstract:
  We present a simple phenomenological method for detrending of raw Kepler and
MOST photometry, which is illustrated by means of photometric data processing
of two periodically variable chemically peculiar stars, KIC 6950556 and HD
37633. In principle, this method may be applied to any type of periodically
variable objects and satellite or ground based photometries. As a by product,
we have identified KIC 6950556 as a magnetic chemically peculiar star with an
ACV type variability.


title: Wiener's problem for positive definite functions

abstract:
  We study the sharp constant $W_{n}(D)$ in Wiener's inequality for positive
definite functions \[ \int_{\mathbb{T}^{n}}|f|^{2}\,dx\le
W_{n}(D)|D|^{-1}\int_{D}|f|^{2}\,dx,\quad D\subset \mathbb{T}^{n}. \] N. Wiener
proved that $W_{1}([-\delta,\delta])<\infty$, $\delta\in (0,1/2)$. E. Hlawka
showed that $W_{n}(D)\le 2^{n}$, where $D$ is an origin-symmetric convex body.
  We sharpen Hlawka's estimates for $D$ being the ball $B^{n}$ and the cube
$I^{n}$. In particular, we prove that $W_{n}(B^{n})\le 2^{(0.401\ldots
+o(1))n}$. We also obtain a lower bound of $W_{n}(D)$. Moreover, for a cube $
D=\frac1q I^{n}$ with $q=3,4,\ldots,$ we obtain that $W_{n}(D)=2^{n}$. Our
proofs are based on the interrelation between Wiener's problem and the problems
of Tur\'an and Delsarte.