title: Exploiting Facial Landmarks for Emotion Recognition in the Wild

abstract:
  In this paper, we describe an entry to the third Emotion Recognition in the
Wild Challenge, EmotiW2015. We detail the associated experiments and show that,
through more accurately locating the facial landmarks, and considering only the
distances between them, we can achieve a surprising level of performance. The
resulting system is not only more accurate than the challenge baseline, but
also much simpler.


title: Optimal classification and nonparametric regression for functional data

abstract:
  We establish minimax convergence rates for classification of functional data
and for nonparametric regression with functional design variables. The optimal
rates are of logarithmic type under smoothness constraints on the functional
density and the regression mapping, respectively. These asymptotic properties
are attainable by conventional kernel procedures. The bandwidth selector does
not require knowledge of the smoothness level of the target mapping. In this
work, the functional data are considered as realisations of random variables
which take their values in a general Polish metric space. We impose certain
metric entropy constraints on this space; but no algebraic properties are
required.


title:
On complete constant scalar curvature K\"ahler metrics with
  Poincar\'e-Mok-Yau asymptotic property

abstract:
  Let $X$ be a compact K\"ahler manifold and $S$ a subvariety of $X$ with
higher co-dimension. The aim is to study complete constant scalar curvature
K\"ahler metrics on non-compact K\"ahler manifold $X-S$ with
Poincar\'e--Mok--Yau asymptotic property (see Definition \ref{def}). In this
paper, the methods of Calabi's ansatz and the moment construction are used to
provide some special examples of such metrics.


title: Noncongruent equidissections of the plane

abstract:
  Nandakumar asked whether there is a tiling of the plane by pairwise
non-congruent triangles of equal area and equal perimeter. Here a weaker result
is obtained: there is a tiling of the plane by pairwise non-congruent triangles
of equal area such that their perimeter is bounded by some common constant.
Several variants of the problem are stated, some of them are answered.


title:
"Compress and eliminate" solver for symmetric positive definite sparse
  matrices

abstract:
  We propose a new approximate factorization for solving linear systems with
symmetric positive definite sparse matrices. In a nutshell the algorithm is to
apply hierarchically block Gaussian elimination and additionally compress the
fill-in. The systems that have efficient compression of the fill-in mostly
arise from discretization of partial differential equations. We show that the
resulting factorization can be used as an efficient preconditioner and compare
the proposed approach with state-of-art direct and iterative solvers.


title: Distance to the IBEX Ribbon Source Inferred from Parallax

abstract:
  Maps of Energetic Neutral Atom (ENA) fluxes obtained from Interstellar
Boundary Explorer (IBEX) observations revealed a bright structure extending
over the sky, subsequently dubbed the IBEX ribbon. The ribbon had not been
expected from the existing models and theories prior to IBEX, and a number of
mechanisms have since been proposed to explain the observations. In these
mechanisms, the observed ENAs emerge from source plasmas located at different
distances from the Sun. Since each part of the sky is observed by IBEX twice
during the year from opposite sides of the Sun, the apparent position of the
ribbon as observed in the sky is shifted due to parallax. To determine the
ribbon parallax, we found the precise location of the maximum signal of the
ribbon observed in each orbital arc. The obtained apparent positions were
subsequently corrected for the Compton-Getting effect, gravitational
deflection, and radiation pressure. Finally, we selected a part of the ribbon
where its position is similar between the IBEX energy passbands. We compared
the apparent positions obtained from the viewing locations on the opposite
sides of the Sun, and found that they are shifted by a parallax angle of
$0.41^\circ\pm0.15^\circ$, which corresponds to a distance of $140^{+84}_{-38}$
AU. This finding supports models of the ribbon with the source located just
outside the heliopause.


title:
Nonexistence for complete K\"ahler Einstein metrics on some noncompact
  manifolds

abstract:
  Let $M$ be a compact K\"ahler manifold and $N$ be a subvariety with
codimension greater than or equal to 2. We show that there are no complete
K\"ahler--Einstein metrics on $M-N$. As an application, let $E$ be an
exceptional divisor of $M$. Then $M-E$ cannot admit any complete
K\"ahler--Einstein metric if blow-down of $E$ is a complex variety with only
canonical or terminal singularities. A similar result is shown for pairs.


title:
Transmission spectroscopy of HAT-P-32b with the LBT: confirmation of
  clouds/hazes in the planetary atmosphere

abstract:
  Spectroscopic observations of a transit event of an extrasolar planet offer
the opportunity to study the composition of the planetary atmosphere. We
observed a transit of the inflated Hot Jupiter HAT-P-32b with MODS at the LBT
to characterize its atmosphere from 3300 to 10000 AA. A time series of target
and reference star spectra was binned in two broad-band wavelength channels,
from which differential transit light curves were constructed. These broad-band
light curves were used to confirm previous transit parameter determinations. To
derive the planetary transmission spectrum with a resolution of R ~ 60, we
created a chromatic set of 62 narrow-band light curves with an average
wavelength width of about 100 AA. The spectrum was corrected for the
third-light of a near-by M star, whose spectrum was resolved in the individual
exposures. Additionally, we undertook a photometric monitoring campaign of the
host star to correct for the influence of starspots. The transmission spectrum
of HAT-P-32b shows no pressure-broadened absorption features from Na and K,
which is interpreted by the presence of clouds or hazes in the planetary
atmosphere. This result is in agreement to previous studies on the same planet.
The presence of TiO in gas phase could be ruled out. We find a 2.8 sigma
indication of increased absorption in the line core of potassium (KI~7699 AA).
No narrow absorption features of Na and Halpha were detected. Furthermore,
tentative indications were found for a slope of increasing opacity toward blue
wavelengths from the near-IR to the near-UV with an amplitude of two scale
heights. If confirmed by follow-up observations, it can be explained by
aerosols either causing Mie scattering or causing Rayleigh scattering with an
aerosol - gas scale height ratio below unity.


title: Circuit Synthesis of Electrochemical Supercapacitor Models

abstract:
  This paper is concerned with the synthesis of RC electrical circuits from
physics-based supercapacitor models describing conservation and diffusion
relationships. The proposed synthesis procedure uses model discretisation,
linearisation, balanced model order reduction and passive network synthesis to
form the circuits. Circuits with different topologies are synthesized from
several physical models. This work will give greater understanding to the
physical interpretation of electrical circuits and will enable the development
of more generalised circuits, since the synthesized impedance functions are
generated by considering the physics, not from experimental fitting which may
ignore certain dynamics.


title: An analysis of penalized interaction models

abstract:
  An important consideration for variable selection in interaction models is to
design an appropriate penalty that respects hierarchy of the importance of the
variables. A common theme is to include an interaction term only after the
corresponding main effects are present. In this paper, we study several
recently proposed approaches and present a unified analysis on the convergence
rate for a class of estimators, when the design satisfies the restricted
eigenvalue condition. In particular, we show that with probability tending to
one, the resulting estimates have a rate of convergence $s\sqrt{\log p_1/n}$ in
the $\ell_1$ error, where $p_1$ is the ambient dimension, $s$ is the true
dimension and $n$ is the sample size. We give a new proof that the restricted
eigenvalue condition holds with high probability, when the variables in the
main effects and the errors follow sub-Gaussian distributions. Under this
setup, the interactions no longer follow Gaussian or sub-Gaussian distributions
even if the main effects follow Gaussian, and thus existing works are not
applicable. This result is of independent interest.


title:
Magnetic Interactions and Electronic Structure of
  Pt$_{2}$Mn$_{1-x}$Y$_{x}$Ga (Y = Cr and Fe) system : An ab-initio calculation

abstract:
  First principles density functional theory based calculations have been
carried out to predict the effects of Mn replacement by Fe and Cr on electronic
as well as magnetic properties of Pt$_{2}$MnGa as well as Ni$_{2}$MnGa. All the
materials studied here are predicted to have conventional Heusler alloy
structure in their ground state and they are found to be electronically stable
on the basis of their respective formation energy. The replacement of Mn by Fe
leads to a ferromagnetic ground state whereas in case of Mn replacement by Cr
an {\it intra-sublattice} anti-ferromagnetic configuration has been observed to
have lower energy. We study the magnetic exchange interaction between the atoms
for the materials with ferromagnetic and anti-ferromagnetic configurations to
show the effects of Fe and Cr substitution at Mn site on the magnetic
interactions of these systems. Detailed analysis of electronic structure in
terms of density of states has been carried out to study the effect of
substitution.


title: Theoretical Study of Plasmonic Lasing in Junctions with many Molecules

abstract:
  We calculate the quantum state of the plasmon field excited by an ensemble of
molecular emitters, which are driven by exchange of electrons with metallic
nano-particle electrodes. Assuming identical emitters that are coupled
collectively to the plasmon mode but are otherwise subject to independent
relaxation channels, we show that symmetry constraints on the total system
density matrix imply a drastic reduction in the numerical complexity. For
$N_{\text{m}}$ three-level molecules we may thus represent the density matrix
by a number of terms scaling as $(N_{\rm m}+8)!/(8!N_{\rm m}!)$ instead of
$9^{N_{\text{m}}}$, and this allows exact simulations of up to
$N_{\text{m}}=10$ molecules. Our simulations demonstrate that many emitters
compensate strong plasmon damping and lead to the population of high plasmon
number states and a narrowed linewidth of the plasmon field. For large
$N_{\text{m}}$, our exact results are reproduced by an approximate approach
based on the plasmon reduced density matrix. With this approach, we have
extended the simulations to more than $50$ molecules and shown that the plasmon
number state population follows a Poisson-like distribution. An alternative
approach based on nonlinear rate equations for the molecular state populations
and the mean plasmon number also reproduce the main lasing characteristics of
the system.


title: Estimating multivariate latent-structure models

abstract:
  A constructive proof of identification of multilinear decompositions of
multiway arrays is presented. It can be applied to show identification in a
variety of multivariate latent structures. Examples are finite-mixture models
and hidden Markov models. The key step to show identification is the joint
diagonalization of a set of matrices in the same nonorthogonal basis. An
estimator of the latent-structure model may then be based on a sample version
of this joint-diagonalization problem. Algorithms are available for computation
and we derive distribution theory. We further develop asymptotic theory for
orthogonal-series estimators of component densities in mixture models and
emission densities in hidden Markov models.


title: A simple proof of exponential decay of subcritical contact processes

abstract:
  This paper gives a new, simple proof of the known fact that for contact
processes on general lattices, in the subcritical regime the expected number of
infected sites decays exponentially fast as time tends to infinity. The proof
also yields an explicit bound on the survival probability below the critical
recovery rate, which shows that the critical exponent associated with this
function is bounded from below by its mean-field value. The main idea of the
proof is that if the expected number of infected sites decays slower than
exponentially, then this implies the existence of a harmonic function that can
be used to show that the process survives for any lower value of the recovery
rate.


title:
Cascade dynamics of thermomagnetic avalanches in superconducting films
  with holes

abstract:
  The sub-microsecond dynamics of thermomagnetic avalanches in superconducting
films with non-conducting holes (antidots) is considered. When such an
avalanche reaches a hole, it is quickly filled with magnetic flux, and often
its rim becomes unstable and a second avalanche is nucleated. In this work the
time- and space-resolved behavior of such cascading avalanche behavior is
determined using numerical simulations. Results are presented for films with
holes of different shape. It is found that holes with sharp corners are those
that most frequently create secondary avalanches, and they tend to nucleate in
corners. Magneto-optical imaging of Nb films patterned with the same set of
holes strongly supports the numerical results.


title:
Optimal shrinkage estimation of mean parameters in family of
  distributions with quadratic variance

abstract:
  This paper discusses the simultaneous inference of mean parameters in a
family of distributions with quadratic variance function. We first introduce a
class of semiparametric/parametric shrinkage estimators and establish their
asymptotic optimality properties. Two specific cases, the location-scale family
and the natural exponential family with quadratic variance function, are then
studied in detail. We conduct a comprehensive simulation study to compare the
performance of the proposed methods with existing shrinkage estimators. We also
apply the method to real data and obtain encouraging results.


title: Large sample behaviour of high dimensional autocovariance matrices

abstract:
  The existence of limiting spectral distribution (LSD) of
$\hat{\Gamma}_u+\hat{\Gamma}_u^*$, the symmetric sum of the sample
autocovariance matrix $\hat{\Gamma}_u$ of order $u$, is known when the
observations are from an infinite dimensional vector linear process with
appropriate (strong) assumptions on the coefficient matrices. Under
significantly weaker conditions, we prove, in a unified way, that the LSD of
any symmetric polynomial in these matrices such as
$\hat{\Gamma}_u+\hat{\Gamma}_u^*$, $\hat{\Gamma}_u\hat{\Gamma}_u^*$,
$\hat{\Gamma}_u\hat{\Gamma}_u^*+\hat{\Gamma}_k\hat{\Gamma}_k^*$ exist. Our
approach is through the more intuitive algebraic method of free probability in
conjunction with the method of moments. Thus, we are able to provide a general
description for the limits in terms of some freely independent variables. All
the previous results follow as special cases. We suggest statistical uses of
these LSD and related results in order determination and white noise testing.


title: K\"{a}hler structure in the commutative limit of matrix geometry

abstract:
  We consider the commutative limit of matrix geometry described by a large-$N$
sequence of some Hermitian matrices. Under some assumptions, we show that the
commutative geometry possesses a K\"{a}hler structure. We find an explicit
relation between the K\"{a}hler structure and the matrix configurations which
define the matrix geometry. We also find a relation between the matrix
configurations and those obtained from the geometric quantization.


title:
A 16-ch module for thermal neutron detection using ZnS:${}^6$LiF
  scintillator with embedded WLS fibers coupled to SiPMs and its dedicated
  readout electronics

abstract:
  A scalable 16-ch thermal neutron detection system has been developed in the
framework of the upgrade of a neutron diffractometer. The detector is based on
ZnS:${}^6$LiF scintillator with embedded WLS fibers which are read out with
SiPMs. In this paper, we present the 16-ch module, the dedicated readout
electronics, a direct comparison between the performance of the diffractometer
obtained with the current ${}^3$He detector and with the 16-ch detection
module, and the channel-to-channel uniformity.


title: Inverting the Sweep Map on (2n,n)-Dyck Paths: A Simple Algorithm

abstract:
  We introduce a simple, rank-based algorithm for inverting the sweep map on
(2n,n)-Dyck paths.


title:
Risk Sensitive Portfolio Optimization in a Jump Diffusion Model with
  Regimes

abstract:
  This article studies a portfolio optimization problem, where the market
consisting of several stocks is modeled by a multi-dimensional jump-diffusion
process with age-dependent semi-Markov modulated coefficients. We study risk
sensitive portfolio optimization on the finite time horizon. We study the
problem by using a probabilistic approach to establish the existence and
uniqueness of the classical solution to the corresponding
Hamilton-Jacobi-Bellman (HJB) equation. We also implement a numerical scheme to
investigate the behavior of solutions for different values of the initial
portfolio wealth, the maturity, and the risk of aversion parameter.


title:
Plasma response measurements of external magnetic perturbations using
  electron cyclotron emission and comparisons to 3D ideal MHD equilibrium

abstract:
  The plasma response from an external n = 2 magnetic perturbation field in
ASDEX Upgrade has been measured using mainly electron cyclotron emission (ECE)
diagnostics and a rigid rotating field. To interpret ECE and ECE-imaging
(ECE-I) measurements accurately, forward modeling of the radiation transport
has been combined with ray tracing. The measured data is compared to synthetic
ECE data generated from a 3D ideal magnetohydrodynamics (MHD) equilibrium
calculated by VMEC. The measured amplitudes of the helical displacement around
the low field side midplane are in reasonable agreement with the one from the
synthetic VMEC diagnostics. Both exceed the prediction from the vacuum field
calculations and indicate the presence of a kink response at the edge, which
amplifies the perturbation. VMEC and MARS-F have been used to calculate the
properties of this kink mode. The poloidal mode structure of the magnetic
perturbation of this kink mode at the edge peaks at poloidal mode numbers
larger than the resonant components |m| > |nq|, whereas the poloidal mode
structure of its displacement is almost resonant |m| ~ |nq|. This is expected
from ideal MHD in the proximity of rational surfaces. The displacement measured
by ECE-I confirms this resonant response.


title: Analytical forms of chaotic spiral arms

abstract:
  We develop an analytical theory of chaotic spiral arms in galaxies. This is
based on the Moser theory of invariant manifolds around unstable periodic
orbits. We apply this theory to the chaotic spiral arms, that start from the
neighborhood of the Lagrangian points L1 and L2 at the end of the bar in a
barred-spiral galaxy. The series representing the invariant manifolds starting
at the Lagrangian points L1, L2, or unstable periodic orbits around L1 and L2,
yield spiral patterns in the configuration space. These series converge in a
domain around every Lagrangian point, called "Moser domain" and represent the
orbits that constitute the chaotic spiral arms. In fact, these orbits are not
only along the invariant manifolds, but also in a domain surrounding the
invariant manifolds. We show further that orbits starting outside the Moser
domain but close to it converge to the boundary of the Moser domain, which acts
as an attractor. These orbits stay for a long time close to the spiral arms
before escaping to infinity.


title: Parton level study of high ET jets in hard QCD processes at LHC

abstract:
  Inclusive jet production will dominate the high $Q^{2}$ final states at the
LHC.~In this work we try to estimate the up-to-date expectations, for high
$E_{T}$ jets and their expected origin from the various parton-parton
scattering processes. For these studies we have used a standard Parton
Distribution Function (PDF) and simulated millions of events with the PYTHIA8
event genertor. The results are compared with simulations for center-of-mass
energies of 0.9 TeV, 2.36 TeV, 7 TeV and 14 TeV corresponding to existing and
future LHC runs. We present some expectations for the relative cross sections
of different quark flavours which indicates that eventually we might be able to
measure the cross section for b-flavoured jets with reasonable accuracy up to
an $E_T$ of a few TeV.


title: Content Replication in Large Distributed Caches

abstract:
  In this paper, we consider the algorithmic task of content replication and
request routing in a distributed caching system consisting of a central server
and a large number of caches, each with limited storage and service
capabilities. We study a time-slotted system where in each time-slot, a large
batch of requests has to be matched to a large number of caches, where each
request can be served by any cache which stores the requested content. All
requests which cannot be served by the caches are served by fetching the
requested content from the central server. The goal is to minimize the
transmission rate from the central server. We use a novel mapping between our
content replication problem and the Knapsack problem to prove a lower bound on
the transmission rate for any content replication policy. Using insights
obtained from the mapping, we propose a content replication policy - Knapsack
Storage - which achieves this lower bound. While it intuitively makes sense to
replicate the more popular contents on a larger number of caches, surprisingly,
in certain cases, the Knapsack Storage policy chooses not to replicate the most
popular contents on the caches at all.


title: Electroproduction of tensor mesons in QCD

abstract:
  Due to multiple possible polarizations hard exclusive production of tensor
mesons by virtual photons or in heavy meson decays offers interesting
possibilities to study the helicity structure of the underlying short-distance
process. Motivated by the first measurement of the transition form factor
$\gamma^*\gamma \to f_2(1270)$ at large momentum transfers by the BELLE
collaboration we present an improved QCD analysis of this reaction in the
framework of collinear factorization including contributions of twist-three
quark-antiquark-gluon operators and an estimate of soft end-point corrections
using light-cone sum rules. The results appear to be in a very good agreement
with the data, in particular the predicted scaling behavior is reproduced in
all cases.


title:
Learning optimal spatially-dependent regularization parameters in total
  variation image restoration

abstract:
  We consider a bilevel optimization approach in function space for the choice
of spatially dependent regularization parameters in TV image restoration
models. First- and second-order optimality conditions for the bilevel problem
are studied, when the spatially-dependent parameter belongs to the Sobolev
space $H^1(\Omega)$. A combined Schwarz domain decomposition-semismooth Newton
method is proposed for the solution of the full optimality system and local
superlinear convergence of the semismooth Newton method is analyzed. Exhaustive
numerical computations are finally carried out to show the suitability of the
approach.


title:
New identities for binary Krawtchouk polynomials, binomial coefficients
  and Catalan numbers

abstract:
  We obtain new combinatorial identities for integral values of binary
Krawtchouk polynomials $K^{2m}_p(x)$, $0\le p\le 2m$, by computing the
characters of the $p$-exterior representations on certain elements of order 2
of $\mathrm{SO}(2m)$. From this identities, we deduce several new relations for
binomial coefficients and Catalan numbers.


title:
Linear System Identification via EM with Latent Disturbances and
  Lagrangian Relaxation

abstract:
  In the application of the Expectation Maximization algorithm to
identification of dynamical systems, internal states are typically chosen as
latent variables, for simplicity. In this work, we propose a different choice
of latent variables, namely, system disturbances. Such a formulation elegantly
handles the problematic case of singular state space models, and is shown,
under certain circumstances, to improve the fidelity of bounds on the
likelihood, leading to convergence in fewer iterations. To access these
benefits we develop a Lagrangian relaxation of the nonconvex optimization
problems that arise in the latent disturbances formulation, and proceed via
semidefinite programming.


title:
An Approximation Algorithm for Path Computation and Function Placement
  in SDNs

abstract:
  We consider the task of computing (combined) function mapping and routing for
requests in Software-Defined Networks (SDNs). Function mapping refers to the
assignment of nodes in the substrate network to various processing stages that
requests must undergo. Routing refers to the assignment of a path in the
substrate network that begins in a source node of the request, traverses the
nodes that are assigned functions for this request, and ends in a destination
of the request. The algorithm either rejects a request or completely serves a
request, and its goal is to maximize the sum of the benefits of the served
requests. The solution must abide edge and vertex capacities. We follow the
framework suggested by Even for the specification of the processing
requirements and routing of requests via processing-and-routing graphs
(PR-graphs). In this framework, each request has a demand, a benefit, and
PR-graph. Our main result is a randomized approximation algorithm for path
computation and function placement with the following guarantee. Let $m$ denote
the number of links in the substrate network, $\eps$ denote a parameter such
that $0< \eps <1$, and $\opt_f$ denote the maximum benefit that can be attained
by a fractional solution (one in which requests may be partly served and flow
may be split along multiple paths). Let $\cmin$ denote the minimum edge
capacity, and let $\dmax$ denote the maximum demand. Let $\Deltamax$ denote an
upper bound on the number of processing stages a request undergoes. If
$\cmin/(\Deltamax\cdot\dmax)=\Omega((\log m)/\eps^2)$, then with probability at
least $1-\frac{1}{m}-\textit{exp}(-\Omega(\eps^2\cdot \opt_f /(\bmax \cdot
\dmax)))$, the algorithm computes a $(1-\eps)$-approximate solution.


title: Relation-theoretic metrical coincidence theorems

abstract:
  In this article, we generalize some frequently used metrical notions such as:
completeness, closedness, continuity, g-continuity and compatibility to
relation-theoretic setting and utilize these relatively weaker notions to prove
results on the existence and uniqueness of coincidence points involving a pair
of mappings defined on a metric space endowed with an arbitrary binary
relation. Particularly, under universal relation our results deduce the
classical coincidence point theorems of Goebel (Bull. Acad. Pol. Sci. Ser. Sci.
Math. Astron. Phys. 16 (1968) 733-735) and Jungck (Int. J. Math. Math. Sci. 9
(4) (1986) 771-779). In process our results generalize, extend, modify and
unify several well-known results especially those obtained in Alam and Imdad
(J. Fixed Point Theory Appl. 17 (4) (2015) 693-702), Karapinar et al: (Fixed
Point Theory Appl. 2014:92 (2014) 16 pp), Alam et al: (Fixed Point Theory Appl.
2014:216 (2014) 30 pp), Alam and Imdad (Fixed Point Theory, in press) and
Berzig (J. Fixed Point Theory Appl. 12 (1-2) (2012) 221-238.


title:
Physical mechanism of the transverse instability in radiation pressure
  ion acceleration

abstract:
  The transverse stability of the target is crucial for obtaining high quality
ion beams using the laser radiation pressure acceleration (RPA) mechanism. In
this letter, a theoretical model and supporting two-dimensional (2D)
Particle-in-Cell (PIC) simulations are presented to clarify the physical
mechanism of the transverse instability observed in the RPA process. It is
shown that the density ripples of the target foil are mainly induced by the
coupling between the transverse oscillating electrons and the quasi-static
ions, a mechanism similar to the transverse two stream instability in the
inertial confinement fusion (ICF) research. The predictions of the mode
structure and the growth rates from the theory agree well with the results
obtained from the PIC simulations in various regimes, indicating the model
contains the essence of the underlying physics of the transverse break-up of
the target.


title:
Unexpected series of regular frequency spacing of delta Scuti stars in
  the non-asymptotic regime -- II. Sample -- echelle diagrams and rotation

abstract:
  A sequence search method was developed for searching for regular frequency
spacing in delta Scuti stars by visual inspection and algorithmic search. The
sample contains 90 delta Scuti stars observed by CoRoT. An example is given to
represent the visual inspection. The algorithm (SSA) is described in detail.
The data treatment of the CoRoT light curves, the criteria for frequency
filtering and the spacings derived by two methods (three approaches: VI, SSA
and FT) are given for each target. Echelle diagrams are presented for 77
targets, for which at least one sequence of regular spacing was identified.
Comparing the spacing and the shifts between pairs of echelle ridges revealed
that at least one pair of echelle ridges is shifted to midway between the
spacing for 22 stars. The estimated rotational frequencies compared to the
shifts revealed rotationally split doublets, triplets and multiplets not only
for single frequencies, but for the complete echelle ridges in 31 delta Scuti
stars. Using several possible assumptions for the origin of the spacings, we
derived the large separation ($\Delta\nu$), which are distributed along the
mean density versus large separations relation derived from stellar models
Suarez 2014.


title: Multifractal properties of convex hulls of typical continuous functions

abstract:
  We study the singularity (multifractal) spectrum of the convex hull of the
typical/generic continuous functions defined on $[0,1]^{d}$. We denote by
${\mathbf E}_ { { \varphi } }^{h} $ the set of points at which $ \varphi :
[0,1]^d\to {\mathbb R}$ has a pointwise H\"older exponent equal to $h$. Let
$H_{f}$ be the convex hull of the graph of $f$, the concave function on the top
of $H_{f}$ is denoted by $ { { \varphi } }_{1,f}( { { \mathbf x } })=\max \{y:(
{ { \mathbf x } },y)\in H_{f} \}$ and $ { { \varphi } }_{2,f}( { { \mathbf x }
})=\min \{y:( { { \mathbf x } },y)\in H_{f} \}$ denotes the convex function on
the bottom of $H_{f}$.
  We show that there is a dense $G_\delta$ subset $ { { \cal G } } { \subset }
{C[0,1]^d}$ such that for $f\in { { \cal G } }$ the following properties are
satisfied. For $i=1,2$ the functions $ { { { \varphi } }_ {i,f}}$ and $f$
coincide only on a set of zero Hausdorff dimension, the functions $ { { {
\varphi } }_ {i,f}}$ are continuously differentiable on $(0,1)^{d}$, ${\mathbf
E}_{ { { \varphi } }_{i,f}}^{0} $ equals the boundary of $ {[0,1]^d}$,
$\dim_{H}{\mathbf E}_{ { { \varphi } }_{i,f}}^{1}=d-1 $, $\dim_{H}{\mathbf E}_{
{ { \varphi } }_{i,f}}^{+ { \infty }}=d $ and ${\mathbf E}_{ { { \varphi }
}_{i,f}}^{h}= { \emptyset }$ if $h\in(0,+ { \infty }) { \setminus } \{1 \}$.


title: Milnor's triple linking numbers and derivatives of genus three knots

abstract:
  A derivative of an algebraically slice knot $K$ is an oriented link
disjointly embedded in a Seifert surface of $K$ such that its homology class
forms a basis for a metabolizer $H$ of $K$. We show that for a genus three
algebraically slice knot $K$, the set $\{
\bar{\mu}_{\{\gamma_1,\gamma_2,\gamma_3\}}(123) -
\bar{\mu}_{\{\gamma'_1,\gamma'_2,\gamma'_3\}}(123)|
\{\gamma_1,\gamma_2,\gamma_3\}$ and $\{\gamma'_1,\gamma'_2,\gamma'_3\}$ are
derivatives of $K$ associated with a metabolizer $H\}$ contains $n\cdot
\mathbb{Z}$ where $n$ is determined by a Seifert form of $K$ and a metabolizer
$H$. As a corollary, we show that it is possible to realize any integer as a
Milnor's triple linking number of a derivative of the unknot on a fixed Seifert
surface with a fixed metabolizer. In addition, we show that a knot, which is a
connected sum of three genus one algebraically slice knots, has at least one
derivative which has non-zero Milnor's triple linking number.


title:
Spider and the Flies : Focused Crawling on Tumblr to Detect Hate
  Promoting Communities

abstract:
  Tumblr is one of the largest and most popular microblogging website on the
Internet. Studies shows that due to high reachability among viewers, low
publication barriers and social networking connectivity, microblogging websites
are being misused as a platform to post hateful speech and recruiting new
members by existing extremist groups. Manual identification of such posts and
communities is overwhelmingly impractical due to large amount of posts and
blogs being published every day. We propose a topic based web crawler primarily
consisting of multiple phases: training a text classifier model consisting
examples of only hate promoting users, extracting posts of an unknown tumblr
micro-blogger, classifying hate promoting bloggers based on their activity
feeds, crawling through the external links to other bloggers and performing a
social network analysis on connected extremist bloggers. To investigate the
effectiveness of our approach, we conduct experiments on large real world
dataset. Experimental results reveals that the proposed approach is an
effective method and has an F-score of 0.80. We apply social network analysis
based techniques and identify influential and core bloggers in a community.


title: Partial transformation groupoids attached to graphs and semigroups

abstract:
  We introduce the notion of continuous orbit equivalence for partial dynamical
systems, and give an equivalent characterization in terms of
Cartan-isomorphisms for partial C*-crossed products. Both graph C*-algebras and
semigroup C*-algebras can be described as C*-algebras attached to partial
dynamical systems. As applications, for graphs, we generalize and explain a
result of Matsumoto and Matui relating orbit equivalence and
Cartan-isomorphism, and for semigroups, we strengthen several structural
results for semigroup C*-algebras concerning amenability, nuclearity as well as
simplicity of boundary quotients. We also discuss pure infiniteness for partial
transformation groupoids arising from graphs and semigroups.


title:
Testing QCD factorization with phase determinations in $B\to
  K\pi$,$K\rho$ and $ K^{*}\pi$ decays

abstract:
  The success of QCD factorization(QCDF) in predicting branching ratios for
charmless $B$ decays to light pseudoscalar and vector mesons and the small CP
asymmetries measured at $BABAR$, Belle and LHCb show that the phase in these
decays, as predicted by QCDF, are not large. For a precise test of QCDF one
needs to extract from the measured decay rates, the phase of the decay
amplitude which appears in the interference terms between the tree and penguin
contribution. Since the tree amplitude is known at the leading order in
$\Lambda_{\rm QCD}/m_{b}$ and is consistent with the measured tree-dominated
decay rates, the QCDF value for the tree amplitude can be used with the
measured decay rates to obtain the phases in $B\to K\pi$,$K\rho$, and $
K^{*}\pi$ decay rates. This is similar to the extraction of the final-state
interaction phases in the interference term between $p\bar{p}\to J/\Psi\to
e^{+}e^{-}$ and $p\bar{p}\to e^{+}e^{-} $ and in $J/\Psi\to 0^{-}0^{-}$ done
previously. In this paper, we present a determination of the phase between the
$I=3/2$ tree and $I=1/2$ penguin amplitudes in $B\to K\pi$,$K\rho$ , and $
K^{*}\pi$ decays using the measured decay rates and the QCDF $I=3/2$ tree
amplitude obtained from the $I=2$ $B^{+}\to \pi^{+}\pi^{0},\rho^{0}\pi^{+},
\rho^{+}\pi^{0 tree-dominated decays and compare the result with the phase
given by QCDF. It is remarkable that the phase extracted from experiments
differs only slightly from the QCDF values. This shows that there is no large
final-state interaction strong phase in $B\to K\pi$,$K\rho$, and $ K^{*}\pi$
decays.


title:
K2SC: Flexible systematics correction and detrending of K2 light curves
  using Gaussian Process regression

abstract:
  We present K2SC (K2 Systematics Correction), a Python pipeline to model
instrumental systematics and astrophysical variability in light curves from the
K2 mission. K2SC uses Gaussian process regression to model position-dependent
systematics and time-dependent variability simultaneously, enabling the user to
remove both (e.g., for transit searches) or to remove systematics while
preserving variability (for variability studies). For periodic variables, K2SC
automatically computes estimates of the period, amplitude and evolution
timescale of the variability. We apply K2SC to publicly available K2 data from
campaigns 3--5, showing that we obtain photometric precision approaching that
of the original Kepler mission. We compare our results to other publicly
available K2 pipelines, showing that we obtain similar or better results, on
average. We use transit injection and recovery tests to evaluate the impact of
K2SC on planetary transit searches in K2 PDC (Pre-search Data Conditioning)
data, for planet-to-star radius ratios down Rp/Rstar = 0.01 and periods up to P
= 40 d, and show that K2SC significantly improves the ability to distinguish
between correct and false detections, particularly for small planets. K2SC can
be run automatically on many light curves, or manually tailored for specific
objects such as pulsating stars or large amplitude eclipsing binaries. It can
be run on ASCII and FITS light curve files, regardless of their origin. Both
the code and the processed light curves are publicly available, and we provide
instructions for downloading and using them. The methodology used by K2SC will
be applicable to future transit search missions such as TESS and PLATO.


title: Rank of tropical curves and tropical hypersurfaces

abstract:
  This paper is devoted to the bounding and computation of the dimension of
deformation spaces of tropical curves and hypersurfaces. This characteristic is
interesting in light of the fact that it often coincides with the dimension of
equisingular (equigeneric etc.) deformation spaces of algebraic curves and
hypersurfaces. In this paper, we obtain a series of precise formulas, upper and
lower bounds, and algorithms for computing dimension of deformation spaces of
various classes of tropical curves and hypersurfaces.


title:
MU-UFMC System Performance Analysis and Optimal Filter Length and Zero
  Padding Length Design

abstract:
  Universal filtered multi-carrier (UFMC) systems offer a flexibility of
filtering arbitrary number of subcarriers to suppress out of band (OoB)
emission, while keeping the orthogonality between subbands and subcarriers
within one subband. However, subband filtering may affect system performance
and capacity in a number of ways. In this paper, we first propose the
conditions for interference-free one-tap equalization and corresponding signal
model in the frequency domain for multi-user (MU) UFMC system. Based on this
ideal interference-free case, impact of subband filtering on the system
performance is analyzed in terms of average signal-to-noise ratio (SNR) per
subband, capacity per subcarrier and bit error rate (BER) and compared with the
orthogonal frequency division multiplexing (OFDM) system. This is followed by
filter length selection strategies to provide guidelines for system design.
Next, by taking carrier frequency offset (CFO), timing offset (TO),
insufficient guard interval between symbols and filter tail cutting (TC) into
consideration, an analytical system model is established. New channel
equalization algorithms are proposed by considering the errors and
imperfections based on the derived signal models. In addition, a set of
optimization criteria in terms of filter length and guard interval/filter TC
length subject to various constraints is formulated to maximize the system
capacity. Numerical results show that the analytical and corresponding optimal
approaches match the simulation results, and the proposed equalization
algorithms can significantly improve the BER performance.


title:
Model Interpolation with Trans-dimensional Random Field Language Models
  for Speech Recognition

abstract:
  The dominant language models (LMs) such as n-gram and neural network (NN)
models represent sentence probabilities in terms of conditionals. In contrast,
a new trans-dimensional random field (TRF) LM has been recently introduced to
show superior performances, where the whole sentence is modeled as a random
field. In this paper, we examine how the TRF models can be interpolated with
the NN models, and obtain 12.1\% and 17.9\% relative error rate reductions over
6-gram LMs for English and Chinese speech recognition respectively through
log-linear combination.


title:
Generation of non-classical optical fields by a beam splitter with
  second-order nonlinearity

abstract:
  We propose quantum-mechanical model of a beam splitter with second-order
nonlinearity and show that non-classical features such as squeezing and
sub-Poissonian photon statistics of optical fields can be generated in output
fundamental and second harmonic modes when we mix coherent light beams via such
a nonlinear beam splitter.


title:
Parametric Resonance in Neutrino Oscillation: A Guide to Control the
  Effects of Inhomogeneous Matter Density

abstract:
  Effects of the inhomogeneous matter density on the three-generation neutrino
oscillation probability are analyzed. Realistic profile of the matter density
is expanded into a Fourier series. Taking in the Fourier modes one by one, we
demonstrate that each mode has its corresponding target energy. The high
Fourier mode selectively modifies the oscillation probability of the low-energy
region. This rule is well described by the parametric resonance between the
neutrino oscillation and the matter effect. The Fourier analysis gives a simple
guideline to systematically control the uncertainty of the oscillation
probability caused by the uncertain density of matter. Precise analysis of the
oscillation probability down to the low-energy region requires accurate
evaluation of the Fourier coefficients of the matter density up to the
corresponding high modes.


title: Riemannian game dynamics

abstract:
  We study a class of evolutionary game dynamics defined by balancing a gain
determined by the game's payoffs against a cost of motion that captures the
difficulty with which the population moves between states. Costs of motion are
represented by a Riemannian metric, i.e., a state-dependent inner product on
the set of population states. The replicator dynamics and the (Euclidean)
projection dynamics are the archetypal examples of the class we study. Like
these representative dynamics, all Riemannian game dynamics satisfy certain
basic desiderata, including positive correlation and global convergence in
potential games. Moreover, when the underlying Riemannian metric satisfies a
Hessian integrability condition, the resulting dynamics preserve many further
properties of the replicator and projection dynamics. We examine the close
connections between Hessian game dynamics and reinforcement learning in normal
form games, extending and elucidating a well-known link between the replicator
dynamics and exponential reinforcement learning.


title:
Surface melting and crystallisation driven by sedimentation: a particle
  resolved study

abstract:
  We investigate the effects of the reversal of the gravitational field onto a
sedimented and partially crystallised suspension of nearly-hard sphere
colloids. We analyse the structural changes that take place during the melting
of the crystalline regions and the reorganisation and assembly of the
sedimenting particles. Through a comparison with numerical simulation, we
access the single-particle kinetics and identify the key structural mechanism
in the competition between five-fold symmetric and cubic crystalline
structures. With the use of a coarse-grained, discrete model, we reproduce the
kinetic network of reactions underpinning crystallisation and highlight the
main microscopic transitions.


title:
Conservative second-order gravitational self-force on circular orbits
  and the effective one-body formalism

abstract:
  We consider Detweiler's redshift variable $z$ for a nonspinning mass $m_1$ in
circular motion (with orbital frequency $\Omega$) around a nonspinning mass
$m_2$. We show how the combination of effective-one-body (EOB) theory with the
first law of binary dynamics allows one to derive a simple, exact expression
for the functional dependence of $z$ on the (gauge-invariant) EOB gravitational
potential $u=(m_1+m_2)/R$. We then use the recently obtained
high-post-Newtonian(PN)-order knowledge of the main EOB radial potential $A(u ;
\nu)$ [where $\nu= m_1 m_2/(m_1+m_2)^2$] to decompose the
second-self-force-order contribution to the function $z(m_2 \Omega, m_1/m_2)$
into a known part (which goes beyond the 4PN level in including the 5PN
logarithmic term, and the 5.5PN contribution), and an unknown one [depending on
the yet unknown, 5PN, 6PN, $\ldots$, contributions to the $O(\nu^2)$
contribution to the EOB radial potential $A(u ; \nu)$]. We indicate the
expected singular behaviors, near the lightring, of the second-self-force-order
contributions to both the redshift and the EOB $A$ potential. Our results
should help both in extracting information of direct dynamical significance
from ongoing second-self-force-order computations, and in parametrizing their
global strong-field behaviors. We also advocate computing
second-self-force-order conservative quantities by iterating the time-symmetric
Green-function in the background spacetime.


title:
Enhanced computation method of topological smoothing on shared memory
  parallel machines

abstract:
  To prepare images for better segmentation, we need preprocessing
applications, such as smoothing, to reduce noise. In this paper, we present an
enhanced computation method for smoothing 2D object in binary case. Unlike
existing approaches, proposed method provides a parallel computation and better
memory management, while preserving the topology (number of connected
components) of the original image by using homotopic transformations defined in
the framework of digital topology. We introduce an adapted parallelization
strategy called split, distribute and merge (SDM) strategy which allows
efficient parallelization of a large class of topological operators. To achieve
a good speedup and better memory allocation, we cared about task scheduling and
managing. Distributed work during smoothing process is done by a variable
number of threads. Tests on 2D grayscale image (512*512), using shared memory
parallel machine (SMPM) with 8 CPU cores (2 Xeon E5405 running at frequency of
2 GHz), showed an enhancement of 5.2 with cache success rate of 70%.


title:
Galactic Cold Cores VII: Filament Formation and Evolution - Methods &
  Observational Constraints

abstract:
  The association of filaments with protostellar objects has made these
structures a priority target in star formation studies. The datasets of the
Herschel Galactic Cold Cores Key Programme allow for a statistical study of
filaments with a wide range of intrinsic and environmental characteristics.
Characterisation of this sample can be used to identify key physical parameters
and quantify the role of environment in the formation of supercritical
filaments. Filaments were extracted from fields at D<500pc with the
getfilaments algorithm and characterised according to their column density
profiles and intrinsic properties. Each profile was fitted with a
beam-convolved Plummer-like function and quantified based on the relative
contributions from the filament 'core', represented by a Gaussian, and 'wing'
component, dominated by the power-law of the Plummer-like function. These
parameters were examined for populations associated with different background
levels. We find that filaments increase their core (Mcore) and wing (Mwing)
contributions while increasing their total linear mass density (Mtot). Both
components appear to be linked to the local environment, with filaments in
higher backgrounds having systematically more massive Mcore and Mwing. This
dependence on the environment supports an accretion-based model for filament
evolution in the local neighbourhood (D<500pc). Structures located in the
highest backgrounds develop the highest central Av, Mcore, and Mwing as Mtot
increases with time, favoured by the local availability of material and the
enhanced gravitational potential. Our results indicate that filaments acquiring
a significantly massive central region with Mcore>Mcrit/2 may become
supercritical and form stars. This translates into a need for filaments to
become at least moderately self-gravitating in order to undergo localised star
formation or become star-forming filaments.


title:
Angle Resolved Photo-Emission Spectroscopy signature of the Resonant
  Excitonic State

abstract:
  We calculate the Angle Resolved PhotoEmission Spectroscopy (ARPES) signature
of the Resonant Excitonic State (RES) that was proposed as the Pseudo-Gap state
of cuprate superconductors [ArXiv 1510.03038]. This new state can be described
as a set of excitonic (particle-hole) patches with an internal checkerboard
modulation. Here, we modelize the RES as a charge order with $\bf{2p_{F}}$ wave
vectors, where $\bf{2p_{F}}$ is the ordering vector connecting two opposite
sides of the Fermi surface. We calculate the spectral weight and the density of
states in the RES and we find that our model correctly reproduces the opening
of the PG in Bi-2201.


title:
Rotation periods for cool stars in the 4 Gyr-old open cluster M67, the
  solar-stellar connection, and the applicability of gyrochronology to at least
  solar age

abstract:
  We report rotation periods for 20 cool (FGK) main sequence member stars of
the 4 Gyr-old open cluster M 67 (= NGC 2682), obtained by analysing data from
Campaign 5 of the K2 mission with the Kepler Space Telescope. The rotation
periods delineate a sequence in the color-period diagram (CPD) of increasing
period with redder color. This sequence represents a cross-section at the
cluster age of the surface P = P (t, M), suggested in prior work to extend to
at least solar age. The current Sun is located marginally (approx. one sigma)
above M 67 in the CPD, as its relative age leads us to expect, and lies on the
P = P (t, M) surface to within measurement precision. We therefore conclude
that the solar rotation rate is normal, as compared with cluster stars, a fact
which strengthens the solar-stellar connection. The agreement between the M\,67
rotation period measurements and prior predictions further implies that
rotation periods, especially when coupled with appropriate supporting work such
as spectroscopy, can provide reliable ages via gyrochronology for other similar
FGK dwarfs from the early main sequence to solar age and likely till the main
sequence turnoff. The M 67 rotators have a rotational age of 4.2 Gyr, with a
standard deviation of 0.7 Gyr, implying that similar field stars can be
age-dated to precisions of ~17%. The rotational age of the M 67 cluster as a
whole is therefore 4.2 Gyr, but with a lower (averaged) uncertainty of 0.2 Gyr.


title:
Parallel image thinning through topological operators on shared memory
  parallel machines

abstract:
  In this paper, we present a concurrent implementation of a powerful
topological thinning operator. This operator is able to act directly over
grayscale images without modifying their topology. We introduce an adapted
parallelization methodology which combines split, distribute and merge (SDM)
strategy and mixed parallelism techniques (data and thread parallelism). The
introduced strategy allows efficient parallelization of a large class of
topological operators including, mainly, {\lambda}-leveling, skeletonization
and crest restoring algorithms. To achieve a good speedup, we cared about
coordination of threads. Distributed work during thinning process is done by a
variable number of threads. Tests on 2D grayscale image (512*512), using shared
memory parallel machine (SMPM) with 8 CPU cores (2x Xeon E5405 running at
frequency of 2 GHz), showed an enhancement of 6.2 with a maximum achieved
cadency of 125 images/s using 8 threads.


title:
Auslander-Reiten sequences, Brown-Comenetz duality, and the $K(n)$-local
  generating hypothesis

abstract:
  In this paper, we construct a version of Auslander-Reiten sequences for the
$K(n)$-local stable homotopy category. In particular, the role of the
Auslander-Reiten translation is played by the local Brown-Comenetz duality
functor. As an application, we produce counterexamples to the $K(n)$-local
generating hypothesis for all heights $n>0$ and all primes. Furthermore, our
methods apply to other triangulated categories, as for example the derived
category of quasi-coherent sheaves on a smooth projective scheme.


title:
Finite element method for nonlinear Riesz space fractional diffusion
  equations on irregular domains

abstract:
  In this paper, we consider two-dimensional Riesz space fractional diffusion
equations with nonlinear source term on convex domains. Applying Galerkin
finite element method in space and backward difference method in time, we
present a fully discrete scheme to solve Riesz space fractional diffusion
equations. Our breakthrough is developing an algorithm to form stiffness matrix
on unstructured triangular meshes, which can help us to deal with space
fractional terms on any convex domain. The stability and convergence of the
scheme are also discussed. Numerical examples are given to verify accuracy and
stability of our scheme.


title: A framework to a mass dimension one fermionic sigma model

abstract:
  In this paper a mass dimension one fermionic sigma model, realized by the
eigenspinors of the charge conjugation operator with dual helicity (Elko
spinors), is developed. Such spinors are chosen as a specific realization of
mass dimension one spinors, wherein the non-commutative fermionic feature is
ruled by torsion. Moreover, we analyse Elko spinors as a source of matter in a
background in expansion. Moreover, we analyse Elko spinors as a source of
matter in a background in expansion and we have found that such kind of mass
dimension one fermions can serve not only as dark matter but they also induce
an effective cosmological constant.


title: Perron's Method and Wiener's Theorem for a Nonlocal Equation

abstract:
  We study the Dirichlet problem for non-homogeneous equations involving the
fractional $p$-Laplacian. We apply Perron's method and prove Wiener's
resolutivity theorem.


title: Homing Vector Automata

abstract:
  We introduce homing vector automata, which are finite automata augmented by a
vector that is multiplied at each step by a matrix determined by the current
transition, and have to return the vector to its original setting in order to
accept the input. The computational power and properties of deterministic,
nondeterministic, blind, non-blind, real-time and one-way versions of these
machines are examined and compared to various related types of automata. A
generalized version of the Stern-Brocot encoding method, suitable for
representing strings on arbitrary alphabets, is also developed.


title:
Distributed chaos and solitons at the edges of magnetically confined
  plasmas

abstract:
  It is shown, using results of measurements of ion saturation current in the
plasma edges of different magnetic fusion confinement devices (tokamaks and
stellarators), that the plasma dynamics in the edges is dominated by
distributed chaos with spontaneously broken translational symmetry at low
magnetic field, and with spontaneously broken reflexional symmetry (by helical
solitons) at high magnetic field.


title: A Brooks type theorem for the maximum local edge connectivity

abstract:
  For a graph $G$, let $\cn(G)$ and $\la(G)$ denote the chromatic number of $G$
and the maximum local edge connectivity of $G$, respectively. A result of Dirac
\cite{Dirac53} implies that every graph $G$ satisfies $\cn(G)\leq \la(G)+1$. In
this paper we characterize the graphs $G$ for which $\cn(G)=\la(G)+1$. The case
$\la(G)=3$ was already solved by Alboulker {\em et al.\,} \cite{AlboukerV2016}.
We show that a graph $G$ with $\la(G)=k\geq 4$ satisfies $\cn(G)=k+1$ if and
only if $G$ contains a block which can be obtained from copies of $K_{k+1}$ by
repeated applications of the Haj\'os join.


title:
Unsupervised Visual Sense Disambiguation for Verbs using Multimodal
  Embeddings

abstract:
  We introduce a new task, visual sense disambiguation for verbs: given an
image and a verb, assign the correct sense of the verb, i.e., the one that
describes the action depicted in the image. Just as textual word sense
disambiguation is useful for a wide range of NLP tasks, visual sense
disambiguation can be useful for multimodal tasks such as image retrieval,
image description, and text illustration. We introduce VerSe, a new dataset
that augments existing multimodal datasets (COCO and TUHOI) with sense labels.
We propose an unsupervised algorithm based on Lesk which performs visual sense
disambiguation using textual, visual, or multimodal embeddings. We find that
textual embeddings perform well when gold-standard textual annotations (object
labels and image descriptions) are available, while multimodal embeddings
perform well on unannotated images. We also verify our findings by using the
textual and multimodal embeddings as features in a supervised setting and
analyse the performance of visual sense disambiguation task. VerSe is made
publicly available and can be downloaded at:
https://github.com/spandanagella/verse.


title:
A variational reduction and the existence of a fully-localised solitary
  wave for the three-dimensional water-wave problem with weak surface tension

abstract:
  Fully localised solitary waves are travelling-wave solutions of the
three-dimensional gravity-capillary water wave problem which decay to zero in
every horizontal spatial direction. Their existence has been predicted on the
basis of numerical simulations and model equations (in which context they are
usually referred to as `lumps'), and a mathematically rigorous existence theory
for strong surface tension (Bond number $\beta$ greater than $\frac{1}{3}$) has
recently been given. In this article we present an existence theory for the
physically more realistic case $0<\beta<\frac{1}{3}$. A classical variational
principle for fully localised solitary waves is reduced to a locally equivalent
variational principle featuring a perturbation of the functional associated
with the Davey-Stewartson equation. A nontrivial critical point of the reduced
functional is found by minimising it over its natural constraint set.


title:
The Picard group of the universal abelian variety and the Franchetta
  conjecture for abelian varieties

abstract:
  We compute the Picard group of the universal abelian variety over the moduli
stack $\mathscr A_{g,n}$ of principally polarized abelian varieties over
$\mathbb{C}$ with a symplectic principal level $n$-structure. We then prove
that over $\mathbb{C}$ the statement of the Franchetta conjecture holds in a
suitable form for $\mathscr A_{g,n}$.


title: Newton-Okounkov bodies and complexity functions

abstract:
  We show that quite universally the holonomicity of the complexity function of
a big divisor on a projective variety does not predict the polyhedrality of the
Newton-Okounkov body associated to every flag.


title: Quantum groups with partial commutation relations

abstract:
  We define new noncommutative spheres with partial commutation relations for
the coordinates. We investigate the quantum groups acting maximally on them,
which yields new quantum versions of the orthogonal group: They are partially
commutative in a way such that they do not interpolate between the classical
and the free quantum versions of the orthogonal group. Likewise we define
non-interpolating, partially commutative quantum versions of the symmetric
group recovering Bichon's quantum automorphism groups of graphs. They fit with
the mixture of classical and free independence as recently defined by Speicher
and Wysoczanski (rediscovering $\Lambda$-freeness of Mlotkowski), due to some
weakened version of a de Finetti theorem.


title: Spacetime foam induced collective bundling of intense fields

abstract:
  The influence of spacetime foam on a broad class of bosonic fields with
arbitrary numbers of particles in the low energy regime is investigated. Based
on recently formulated general description of open quantum gravitational
systems, we analyse the propagation of scalar, electromagnetic, and
gravitational waves on both long and short time scales with respect to their
mean frequencies. For the long time propagation, the Markov approximation is
employed that neglects the effects of initial conditions of these waves. In
this case, despite intuitively expected decoherence and dissipation from the
noisy spacetime, we show that such phenomena turn out to be completely
suppressed for scalar bosons, photons, and gravitons, which are coupled to
gravity but otherwise free. The short time effects are then recovered through
the transient non-Markovian evolution. Focusing on scalar bosons in initially
incoherent states, we find that the resulting quantum dissipation depend
strongly on the distribution of the particle momentum states. We further
identify a hitherto undiscovered collective anti-dissipation mechanism for a
large number of particles. The surprising new effect tends to "bundle"
identical particles within a sharply distributed momentum states having a width
inversely proportional to the particle number due to the thermal fluctuations,
or its square root due to the vacuum fluctuations of spacetime.


title: Iterated Ontology Revision by Reinterpretation

abstract:
  Iterated applications of belief change operators are essential for different
scenarios such as that of ontology evolution where new information is not
presented at once but only in piecemeal fashion within a sequence. I discuss
iterated applications of so called reinterpretation operators that trace
conflicts between ontologies back to the ambiguous of symbols and that provide
conflict resolution strategies with bridging axioms. The discussion centers on
adaptations of the classical iteration postulates according to Darwiche and
Pearl. The main result of the paper is that reinterpretation operators fulfill
the postulates for sequences containing only atomic triggers. For complex
triggers, a fulfillment is not guaranteed and indeed there are different
reasons for the different postulates why they should not be fulfilled in the
particular scenario of ontology revision with well developed ontologies.


title:
DeepNano: Deep Recurrent Neural Networks for Base Calling in MinION
  Nanopore Reads

abstract:
  Motivation: The MinION device by Oxford Nanopore is the first portable
sequencing device. MinION is able to produce very long reads (reads over
100~kBp were reported), however it suffers from high sequencing error rate. In
this paper, we show that the error rate can be reduced by improving the base
calling process.
  Results: We present the first open-source DNA base caller for the MinION
sequencing platform by Oxford Nanopore. By employing carefully crafted
recurrent neural networks, our tool improves the base calling accuracy compared
to the default base caller supplied by the manufacturer. This advance may
further enhance applicability of MinION for genome sequencing and various
clinical applications.
  Availability: DeepNano can be downloaded at
http://compbio.fmph.uniba.sk/deepnano/.
  Contact: boza@fmph.uniba.sk


title: Definable Valuations Induced by Definable Subgroups

abstract:
  In his unpublished preprint "Definable Valuations" Koenigsmann shows that
every field that admits a t-henselian topology is either real closed or
separably closed or admits a definable valuation inducing the t-henselian
topology. To show this Koenigsmann investigates valuation rings induced by
certain (definable) subgroups of the field. The aim of this paper, based on the
authors PhD thesis, is to look at the methods used in the preprint in greater
detail and correct a mistake in the original paper based on a paper of Jahnke
and Koenigsmann.


title:
Quantum sine-Gordon dynamics on analogue curved spacetime in a weakly
  imperfect scalar Bose gas

abstract:
  Using the coherent state functional integral expression of the partition
function, we show that the sine-Gordon model on an analogue curved spacetime
arises as the effective quantum field theory for phase fluctuations of a weakly
imperfect Bose gas on an incompressible background superfluid flow when these
fluctuations are restricted to a subspace of the single-particle Hilbert space.
We consider bipartitions of the single-particle Hilbert space relevant to
experiments on ultracold bosonic atomic or molecular gases, including, e.g.,
restriction to high- or low-energy sectors of the dynamics and spatial
bipartition corresponding to tunnel-coupled planar Bose gases. By assuming full
unitary quantum control in the low-energy subspace of a trapped gas, we show
that (1) appropriately tuning the particle number statistics of the
lowest-energy mode partially decouples the low- and high-energy sectors,
allowing any low-energy single-particle wave function to define a background
for sine-Gordon dynamics on curved spacetime and (2) macroscopic occupation of
a quantum superposition of two states of the lowest two modes produces an
analogue curved spacetime depending on two background flows, with respective
weights continuously dependent on the corresponding weights of the superposed
quantum states.


title: Spectral Covers, Integrality Conditions, and Heterotic/F-theory Duality

abstract:
  In this work we review a systematic, algorithmic construction of dual
heterotic/F-theory geometries corresponding to 4-dimensional, N = 1
supersymmetric compactifications. We look in detail at a class of well-defined
Calabi-Yau fourfolds for which the standard formulation of the duality map
appears to fail, leading to dual heterotic geometry which appears naively
incompatible with the spectral cover construction of vector bundles. In the
simplest class of examples the F-theory background consists of a generically
singular elliptically fibered Calabi-Yau fourfold with E7 symmetry. The vector
bundles arising in the corresponding heterotic theory appear to violate an
integrality condition of an SU(2) spectral cover. A possible resolution of this
puzzle is explored by studying the most general form of the integrality
condition. This leads to the geometric challenge of determining the Picard
group of surfaces of general type. We take an important first step in this
direction by computing the Hodge numbers of an explicit spectral surface and
bounding the Picard number.


title: Minkowski space is locally the Noldus limit of a Poisson process causet

abstract:
  A poisson process $P_{\lambda}$ on $\mathbb{R}^{d}$ with causal structure
inherited from the the usual Minkowski metric on $\mathbb{R}^{d}$ has a
normalised discrete causal distance $D_{\lambda}(x,y)$ given by the height of
the longest causal chain normalised by $\lambda^{1/d}c_{d}$. We prove that
$P_{\lambda}$ restricted to a compact set $Q$ converges in probability in the
sense of Noldus to $Q$ with the Minkowksi metric.


title:
Unsupervised Understanding of Location and Illumination Changes in
  Egocentric Videos

abstract:
  Wearable cameras stand out as one of the most promising devices for the
upcoming years, and as a consequence, the demand of computer algorithms to
automatically understand the videos recorded with them is increasing quickly.
An automatic understanding of these videos is not an easy task, and its mobile
nature implies important challenges to be faced, such as the changing light
conditions and the unrestricted locations recorded. This paper proposes an
unsupervised strategy based on global features and manifold learning to endow
wearable cameras with contextual information regarding the light conditions and
the location captured. Results show that non-linear manifold methods can
capture contextual patterns from global features without compromising large
computational resources. The proposed strategy is used, as an application case,
as a switching mechanism to improve the hand-detection problem in egocentric
videos.


title:
Low-damping transmission of spin waves through YIG/Pt-based layered
  structures for spin-orbit-torque applications

abstract:
  We show that in YIG-Pt bi-layers, which are widely used in experiments on the
spin transfer torque and spin Hall effects, the spin-wave amplitude
significantly decreases in comparison to a single YIG film due to the
excitation of microwave eddy currents in a Pt coat. By introducing a novel
excitation geometry, where the Pt layer faces the ground plane of a microstrip
line structure, we suppressed the excitation of the eddy currents in the Pt
layer and, thus, achieved a large increase in the transmission of the
Damon-Eshbach surface spin wave. At the same time, no visible influence of an
external dc current applied to the Pt layer on the spin-wave amplitude in the
YIG-Pt bi-layer was observed in our experiments with YIG films of micrometer
thickness.


title:
Beam-induced and cosmic-ray backgrounds observed in the ATLAS detector
  during the LHC 2012 proton-proton running period

abstract:
  This paper discusses various observations on beam-induced and cosmic-ray
backgrounds in the ATLAS detector during the LHC 2012 proton-proton run.
Building on published results based on 2011 data, the correlations between
background and residual pressure of the beam vacuum are revisited. Ghost charge
evolution over 2012 and its role for backgrounds are evaluated. New methods to
monitor ghost charge with beam-gas rates are presented and observations of LHC
abort gap population by ghost charge are discussed in detail. Fake jets from
colliding bunches and from ghost charge are analysed with improved methods,
showing that ghost charge in individual radio-frequency buckets of the LHC can
be resolved. Some results of two short periods of dedicated cosmic-ray
background data-taking are shown; in particular cosmic-ray muon induced fake
jet rates are compared to Monte Carlo simulations and to the fake jet rates
from beam background. A thorough analysis of a particular LHC fill, where
abnormally high background was observed, is presented. Correlations between
backgrounds and beam intensity losses in special fills with very high $\beta^*$
are studied.


title:
Search for charged Higgs bosons produced in association with a top quark
  and decaying via $H^{\pm} \rightarrow \tau\nu$ using $pp$ collision data
  recorded at $\sqrt{s} = 13$ TeV by the ATLAS detector

abstract:
  Charged Higgs bosons produced in association with a single top quark and
decaying via $H^{\pm} \rightarrow \tau\nu$ are searched for with the ATLAS
experiment at the LHC, using proton-proton collision data at $\sqrt{s} = 13$
TeV corresponding to an integrated luminosity of 3.2 $\mathrm{fb}^{-1}$. The
final state is characterised by the presence of a hadronic $\tau$ decay and
missing transverse momentum, as well as a hadronically decaying top quark,
resulting in the absence of high-transverse-momentum electrons and muons. The
data are found to be consistent with the expected background from Standard
Model processes. A statistical analysis leads to $95\%$ confidence-level upper
limits on the production cross section times branching fraction, $\sigma(pp
\rightarrow [b]t H^{\pm}) \times \mbox{BR}(H^{\pm} \rightarrow \tau\nu)$,
between 1.9 pb and 15 fb, for charged Higgs boson masses ranging from 200 to
2000 GeV. The exclusion limits for this search surpass those obtained with the
proton-proton collision data recorded at $\sqrt{s} = 8$ TeV.


title:
Exchange symmetry and low-frequency asymptotics of Green's functions in
  spin s=1 magnets

abstract:
  The paper contains the description of the dynamics of non-equilibrium
processes of spin $s=1$ magnets in an external variable field. We have obtained
nonlinear dynamic equations with sources and calculated low-frequency
asymptotics of two-time Green's functions for ferro- and quadrupole magnetic
states with $SO(3)$ and $SU(3)$ exchange symmetry of the Hamiltonian. It has
been shown that for ferro- and quadrupole magnetic states singularities of
Green's functions in wave vectors $1/k$, $1/k^2$ and frequencies $1/\omega,
1/\omega^2$ have well-known character. We set the exact form of the magnetic
anisotropy of these Green's functions. For states with $SO(3)$ symmetry of the
exchange Hamiltonian, we have found Green's functions with quadrupole degrees
of freedom and compared them with Green's functions of magnets having exchange
$SU(3)$ symmetry.


title:
A comprehensive theory of cascading via-paths and the reciprocal pointer
  chain method

abstract:
  In this paper, we consolidate and expand upon the current theory and
potential applications of the set of $k$ best \emph{cascading via-paths} (CVPs)
and the \emph{reciprocal pointer chain} (RPC) method for identifying them. CVPs
are a collection of up to $|V|$ paths between a source and a target node in a
graph $G = (V,E)$, computed using two shortest path trees, that have
distinctive properties relative to other path sets. They have been shown to be
particularly useful in geospatial applications, where they are an intuitive and
efficient means for identifying a set of spatially diverse alternatives to the
single shortest path between the source and target. However, spatial diversity
is not intrinsic to paths in a graph, and little theory has been developed
outside of application to describe the nature of these paths and the RPC method
in general. Here we divorce the RPC method from its typical geospatial
applications and develop a comprehensive theory of CVPs from an abstract
graph-theoretic perspective. Restricting ourselves to properties of the CVPs
and of the entire set of $k$-best CVPs that can be computed in $O(|E| + |V|
\log |V|)$, we are able to then propose, among other things, new and efficient
approaches to problems such as generating a diverse set of paths and to
computing the $k$ shortest loopless paths between two nodes in a graph. We
conclude by demonstrating the new theory in practice, first for a typical
application of finding alternative routes in road networks and then for a novel
application of identifying layer-boundaries in ground-penetrating radar (GPR)
data. It is our hope that by generalizing the RPC method, providing a sound
theoretical foundation, and demonstrating novel uses, we are able to broaden
its perceived applicability and stimulate new research in this area, both
applied and theoretical.


title:
Spectral statistics, finite-size scaling and multifractal analysis of
  quasiperiodic chain with p-wave pairing

abstract:
  We study the spectral and wavefunction properties of a one-dimensional
incommensurate system with p-wave pairing and unveil that the system
demonstrates a series of particular properties in its ciritical region. By
studying the spectral statistics, we show that the bandwidth distribution and
level spacing distribution in the critical region follow inverse power laws,
which however break down in the extended and localized regions. By performing a
finite-size scaling analysis, we can obtain some critical exponents of the
system and find these exponents fulfilling a hyperscaling law in the whole
critical region. We also carry out a multifractal analysis on system's
wavefuntions by using a box-counting method and unveil the wavefuntions
displaying different behaviors in the critical, extended and localized regions.


title: Revisiting Phase Diagrams of Two-Mode Phase-Field Crystal Models

abstract:
  In this work, phase diagrams of a modified two-mode phase-field crystal (PFC)
that show two-dimensional (2D) and three-dimensional (3D) crystallographic
structures were determined by utilizing a free energy minimization method. In
this study the modified two-mode PFC model (presented by E. Asadi and M. Asle
Zaeem, Comput. Mater. Sci. 2015) was used, in which the free energy can be
exactly minimized in each stable crystal structure allowing calculation of
accurate phase diagrams for two-mode PFC models. Different crystal structures,
such as square, triangle, body-centered cubic (bcc), face-centered cubic (fcc),
and stripe lattice structures as well as their coexistence regions were
considered in the calculations. The model parameters were discussed to
calculate phase diagrams that can be used as a guideline by other researchers
for studying solidification and solid state phase transformation using two-mode
PFC model.


title:
Trajectory Clustering, Modelling, and Selection with the Focus on
  Airspace Protection

abstract:
  Take-off and landing are the periods of a flight where aircraft are most
vulnerable to a ground based rocket attack by terrorists. While aircraft
approach and depart from airports on pre-defined flight paths, there is a
degree of uncertainty in the trajectory of each individual aircraft. Capturing
and characterizing these deviations is important for accurate strategic
planning for the defence of airports against terrorist attack. A methodology is
demonstrated whereby approach and departure trajectories to a given airport are
characterized statistically from historical data. It uses a two-step process of
first clustering to extract the common trend, and then modelling uncertainty
using Gaussian Processes (GPs). Furthermore it is shown that this approach can
be used to either select probabilistic regions of airspace where trajectories
are likely and - if required - can automatically generate a set of
representative trajectories, or select key trajectories that are both likely
and critically vulnerable. An evaluation of the methodology is demonstrated on
an example data-set collected by the ground radar at an airport. The evaluation
indicates that 99.8% of the calculated footprint underestimates less than 5%
when replacing the original trajectory data with a set of representative
trajectories.


title: On nearly Sasakian and nearly cosymplectic manifolds

abstract:
  We prove that every nearly Sasakian manifold of dimension greater than five
is Sasakian. This provides a new criterion for an almost contact metric
manifold to be Sasakian. Moreover, we classify nearly cosymplectic manifolds of
dimension greater than five.


title: Surface Superconductivity in Presence of Corners

abstract:
  We consider an extreme type-II superconducting wire with non-smooth cross
section, i.e., with one or more corners at the boundary, in the framework of
the Ginzburg-Landau theory. We prove the existence of an interval of values of
the applied field, where superconductivity is spread uniformly along the
boundary of the sample. More precisely the energy is not affected to leading
order by the presence of corners and the modulus of the Ginzburg-Landau
minimizer is approximately constant along the transversal direction. The
critical fields delimiting this surface superconductivity regime coincide with
the ones in absence of boundary singularities.


title: Bimetric QED

abstract:
  We study, as a model of Lorentz symmetry breaking, the quantisation and
renormalisation of an extension of QED in a flat spacetime where the photons
and electrons propagate differently and do not share the same lightcone. We
will refer to this model as Bimetric QED (BIMQED). As a preliminary we discuss
the formulation of electrodynamics in a pre-metric formalism showing
nevertheless that there is, on the basis of a simple criteron, a preferred
metric. Arising from this choice of metric is a Weyl-like tensor (WLT). The
Petrov classification of the WLT gives rise to a corresponding classification
of Lorentz symmetry breaking. We do not impose any constraint on the strength
of the symmetry breaking and are able to obtain explicit dispersion relations
for photon propagation in each of the Petrov classes. The associated
birefringence appears in some cases as two distinct polarisation dependent
lightcones and in other cases as a a more complicated structure that cannot be
disentangled in a simple way.
  We show how in BIMQED the renormalisation procedure can, in addition to its
effect on standard parameters such as charge and mass, force the
renormalisation of the metrics and the WLT. Two particularly tractable cases
are studied in detail for which we can obtain renormalisation group flows for
the parameters of the model together with an analysis of fixed point structure.
Of course these results are consistent with previous studies but we are not
constrained to treat Lorentz symmetry breaking as necessarily weak. As we found
in a previous study of a scalar field theory model an acceptable causal
structure for the model imposes constraints on relationship between the various
lightcones in BIMQED.


title: Highly Catalytic Nanodots with Renal Clearance for Radiation Protection

abstract:
  Ionizing radiation (gamma and x-ray) is widely used in industry and medicine,
but it can also pose a significant hazardous effect on health and induce
cancer, physical deformity and even death, due to DNA damages and invasion of
free radicals. There is therefore an urgent unmet demand in designing highly
efficient radioprotectants with synergetic integration of effective renal
clearance and low toxicity. In this study, we designed ultrasmall (sub-5 nm)
highly catalytically active and cysteine-protected MoS2 dots as
radioprotectants and investigated their application in protection against
ionizing radiation. In vivo preclinical studies showed that the surviving
fraction of MoS2-treated mice can appreciably increase to up to 79 % when they
were exposed to high-energy ionizing radiation. Furthermore, MoS2 dots can
contribute in cleaning up the accumulated free radicals within the body,
repairing DNA damages and recovering all vital chemical and biochemical
indicators, suggesting their unique role as free radical scavengers. MoS2 dots
showed rapid and efficient urinary excretion with more than 80 % injected dose
(I.D.) eliminated from the body after 24 hours due to their ultrasmall
hydrodynamic size and did not cause any noticeable toxic responses up to 30
days.


title: A generalization of the double ramification cycle via log-geometry

abstract:
  We give a log-geometric description of the space of twisted canonical
divisors constructed by Farkas--Pandharipande. In particular, we introduce the
notion of a principal rubber $k$-log-canonical divisor, and we study its moduli
space. It is a proper Deligne--Mumford stack admitting a perfect obstruction
theory whose virtual fundamental cycle is of dimension $2g-3+n$. In the
so-called strictly meromorphic case with $k=1$, the moduli space is of the
expected dimension and the push-forward of its virtual fundamental cycle to the
moduli space of stable curves equals the weighted fundamental class of the
moduli space of twisted canonical divisors. Conjecturally, it yields a formula
of Pixton generalizing the double ramification cycle in the moduli space of
stable curves.


title: Superradiance of non-Dicke states

abstract:
  In 1954, Dicke predicted that a system of quantum emitters confined to a
subwavelength volume would produce a superradiant burst. For such a burst to
occur, the emitters must be in the special Dicke state with zero dipole moment.
We show that a superradiant burst may also arise for non-Dicke initial states
with nonzero dipole moment. Both for Dicke and non-Dicke initial states,
superradiance arises due to a decrease in the dispersion of the quantum phase
of the emitter state. For non-Dicke states, the quantum phase is related to the
phase of long-period envelopes which modulate the oscillations of the dipole
moments. A decrease in dispersion of the quantum phase causes a decrease in the
dispersion of envelope phases that results in constructive interference of the
envelopes and the superradiant burst.


title:
Fermi polaron-polaritons in charge-tunable atomically thin
  semiconductors

abstract:
  The dynamics of a mobile quantum impurity in a degenerate Fermi system is a
fundamental problem in many-body physics. The interest in this field has been
renewed due to recent ground-breaking experiments with ultra-cold Fermi gases.
Optical creation of an exciton or a polariton in a two-dimensional electron
system embedded in a microcavity constitutes a new frontier for this field due
to an interplay between cavity-coupling favoring ultra-low mass polariton
formation and exciton-electron interactions leading to polaron or trion
formation. Here, we present cavity spectroscopy of gate-tunable monolayer
MoSe$_2$ exhibiting strongly bound trion and polaron resonances, as well as
non-perturbative coupling to a single microcavity mode. As the electron density
is increased, the oscillator strength determined from the polariton splitting
is gradually transferred from the higher-energy repulsive-exciton-polaron
resonance to the lower-energy attractive-polaron manifold. Simultaneous
observation of polariton formation in both attractive and repulsive branches
indicate a new regime of polaron physics where the polariton impurity mass is
much smaller than that of the electrons. Our findings shed new light on optical
response of semiconductors in the presence of free carriers by identifying the
Fermi polaron nature of excitonic resonances and constitute a first step in
investigation of a new class of degenerate Bose-Fermi mixtures.


title:
Quantum coherent three-terminal thermoelectrics: maximum efficiency at
  given power output

abstract:
  We consider the nonlinear scattering theory for three-terminal thermoelectric
devices, used for power generation or refrigeration. Such systems are quantum
phase-coherent versions of a thermocouple, and the theory applies to systems in
which interactions can be treated at a mean-field level. We consider an
arbitrary three-terminal system in any external magnetic field, including
systems with broken time-reversal symmetry, such as chiral thermoelectrics, as
well as systems in which the magnetic field plays no role. We show that the
upper bound on efficiency at given power output is of quantum origin and is
stricter than Carnot's bound. The bound is exactly the same as previously found
for two-terminal devices, and can be achieved by three-terminal systems with or
without broken time-reversal symmetry, i.e. chiral and non-chiral
thermoelectrics.


title:
The first observations of wide-band interferometers and the spectra of
  relic gravitons

abstract:
  Stochastic backgrounds of relic gravitons of cosmological origin extend from
frequencies of the order of the aHz up to the GHz range. Since the temperature
and polarization anisotropies constrain the low frequency normalization of the
spectra, in the concordance paradigm the strain amplitude corresponding to the
frequency window of wide-band interferometers turns out to be, approximately,
nine orders of magnitude smaller than the astounding signal recently reported
and attributed to a binary black hole merger. The backgrounds of relic
gravitons expected from the early Universe are compared with the stochastic
foregrounds stemming from the estimated multiplicity of the astrophysical
sources. It is suggested that while the astrophysical foregrounds are likely to
dominate between few Hz and 10 kHz, relic gravitons with frequencies exceeding
100 kHz represent a potentially uncontaminated signal for the next generation
of high-frequency detectors currently under scrutiny.


title: The Harish-Chandra isomorphism for quantum GL_2

abstract:
  We construct an explicit Harish-Chandra isomorphism, from the quantum
Hamiltonian reduction of the algebra D_q(GL_2) of quantum differential
operators on GL_2, to the spherical double affine Hecke algebra associated to
GL2. The isomorphism holds for all deformation parameters non-zero q, t, such
that t does not equal to +/-i, and q is not a non-trivial root of unity. We
also discuss its extension to the root of unity case.


title:
A constructive approach to regularity of Lagrangian trajectories for
  incompressible Euler flow in a bounded domain

abstract:
  The 3D incompressible Euler equation is an important research topic in the
mathematical study of fluid dynamics. Not only is the global regularity for
smooth initial data an open issue, but the behaviour may also depend on the
presence or absence of boundaries.
  For a good understanding, it is crucial to carry out, besides mathematical
studies, high-accuracy and well-resolved numerical exploration. Such studies
can be very demanding in computational resources, but recently it has been
shown that very substantial gains can be achieved first, by using Cauchy's
Lagrangian formulation of the Euler equations and second, by taking advantages
of analyticity results of the Lagrangian trajectories for flows whose initial
vorticity is H\"older-continuous. The latter has been known for about twenty
years (Serfati, 1995), but the combination of the two, which makes use of
recursion relations among time-Taylor coefficients to obtain constructively the
time-Taylor series of the Lagrangian map, has been achieved only recently
(Frisch and Zheligovsky, 2014; Podvigina {\em et al.}, 2016 and references
therein).
  Here we extend this methodology to incompressible Euler flow in an
impermeable bounded domain whose boundary may be either analytic or have a
regularity between indefinite differentiability and analyticity.
Non-constructive regularity results for these cases have already been obtained
by Glass {\em et al.} (2012). Using the invariance of the boundary under the
Lagrangian flow, we establish novel recursion relations that include
contributions from the boundary. This leads to a constructive proof of
time-analyticity of the Lagrangian trajectories with analytic boundaries, which
can then be used subsequently for the design of a very high-order
Cauchy--Lagrangian method.


title:
Strong Well-Posedness for a Class of Dynamic Outflow Boundary Conditions
  for Incompressible Newtonian Flows

abstract:
  Based on energy considerations, we derive a class of dynamic outflow boundary
conditions for the incompressible Navier-Stokes equations, containing the
well-known convective boundary condition but incorporating also the stress at
the outlet. As a key building block for the analysis of such problems, we
consider the Stokes equations with such dynamic outflow boundary conditions in
a halfspace and prove the existence of a strong solution in the appropriate
Sobolev-Slobodeckij-setting with $L_p$ (in time and space) as the base space
for the momentum balance. For non-vanishing stress contribution in the boundary
condition, the problem is actually shown to have $L_p$-maximal regularity under
the natural compatibility conditions. Aiming at an existence theory for
problems in weakly singular domains, where different boundary conditions apply
on different parts of the boundary such that these surfaces meet orthogonally,
we also consider the prototype domain of a wedge with opening angle
$\frac{\pi}{2}$ and different combinations of boundary conditions: Navier-Slip
with Dirichlet and Navier-Slip with the dynamic outflow boundary condition.
Again, maximal regularity of the problem is obtained in the appropriate
functional analytic setting and with the natural compatibility conditions.


title:
Seasonal effect on the diurnal variation of the geomagnetic field
  registered in Huancayo Observatory

abstract:
  In this article we study the seasonal effect on the diurnal variation of the
geomagnetic field registered in the Huancayo Observatory, located in the
Magnetic Equator, which is driven by "ionospheric currents" and its counterpart
induced by "telluric currents". Huancayo Observatory has the highest amplitude
in the diurnal variation, because of being in the Magnetic Equator and under
the "Equatorial Electrojet". We present the pattern of seasonal variation in
diurnal variation of components X, Y and Z, the same as confirmed by previous
works since 1940. The effect of solar activity cycle of about 11 years in the
diurnal variation is also confirmed; it is observed that amplitudes are greater
in the maximum of solar activity.


title:
Measurement of $W^{\pm}$ and $Z$-boson production cross sections in $pp$
  collisions at $\sqrt{s}=13$ TeV with the ATLAS detector

abstract:
  Measurements of the $W^{\pm} \rightarrow \ell^{\pm} \nu$ and $Z \rightarrow
\ell^+ \ell^-$ production cross sections (where $\ell^{\pm}=e^{\pm},\mu^{\pm}$)
in proton-proton collisions at $\sqrt{s}=13$ TeV are presented using data
recorded by the ATLAS experiment at the Large Hadron Collider, corresponding to
a total integrated luminosity of 81 pb$^{-1}$ The total inclusive
$W^{\pm}$-boson production cross sections times the single-lepton-flavour
branching ratios are $\sigma_{W^+}^{tot}= 11.83 \pm 0.02 (stat) \pm 0.32 (sys)
\pm 0.25 (lumi)$ nb and $\sigma_{W^-}^{tot} = 8.79 \pm 0.02 (stat) \pm 0.24
(sys) \pm 0.18 (lumi)$ nb for $W^+$ and $W^-$, respectively. The total
inclusive $Z$-boson production cross section times leptonic branching ratio,
within the invariant mass window $66 < m_{\ell\ell} < 116$ GeV, is
$\sigma_{Z}^{tot} = 1.981 \pm 0.007 (stat) \pm 0.038 (sys) \pm 0.042 (lumi)$
nb. The $W^+$, $W^-$, and $Z$-boson production cross sections and cross-section
ratios within a fiducial region defined by the detector acceptance are also
measured. The cross-section ratios benefit from significant cancellation of
experimental uncertainties, resulting in $\sigma_{W^+}^{fid}/\sigma_{W^-}^{fid}
= 1.295 \pm 0.003 (stat) \pm 0.010 (sys)$ and
$\sigma_{W^{\pm}}^{fid}/\sigma_{Z}^{fid} = 10.31 \pm 0.04 (stat) \pm 0.20
(sys)$. Theoretical predictions, based on calculations accurate to
next-to-next-to-leading order for quantum chromodynamics and to next-to-leading
order for electroweak processes and which employ different parton distribution
function sets, are compared to these measurements.


title: A Globally Exponentially Stable Hybrid Attitude and Gyro-bias Observer

abstract:
  This paper presents a hybrid attitude and gyro-bias observer designed
directly on the Special Orthogonal group SO(3). The proposed hybrid observer,
relying on a hysteresis-based switching between two configurations, guarantees
global exponential stability using biased angular velocity and inertial vector
measurements. Simulation results are given to illustrate the effectiveness of
the proposed observer.


title: Convergences and the Intermediate Value Property in Fermat Reals

abstract:
  This paper contains two topics of Fermat reals, as suggested by the title. In
the first part, we study the \omega-topology, the order topology and the
Euclidean topology on Fermat reals, and their convergence properties, with
emphasis on the relationship with the convergence of sequences of ordinary
smooth functions. We show that the Euclidean topology is best for this
relationship with respect to pointwise convergence, and Lebesgue dominated
convergence does not hold, among all additive Hausdorff topologies on Fermat
reals. In the second part, we study the intermediate value property of
quasi-standard smooth functions on Fermat reals, together with some easy
applications. The paper is written in the language of Fermat reals, and the
idea could be extended to other similar situations.


title:
Parametric Study of the Rossby Wave Instability in a Two-Dimensional
  Barotropic Disk

abstract:
  Protoplanetary disks with non-axisymmetric structures have been observed. The
Rossby wave instability (RWI) is considered as one of the origins of the
non-axisymmetric structures. We perform linear stability analyses of the RWI in
barotropic flow using four representative types of the background flow on a
wide parameter space. We find that the co-rotation radius is located at the
background vortensity minimum with large concavity if the system is marginally
stable to the RWI, and this allows us to check the stability against the RWI
easily. We newly derive the necessary and sufficient condition for the onset of
the RWI in semi-analytic form. We discuss the applicability of the new
condition in realistic systems and the physical nature of the RWI.


title: The magnetic field vector of the Sun-as-a-star

abstract:
  Direct comparison between stellar and solar magnetic maps are hampered by
their dramatic differences in resolution. Here, we present a method to filter
out the small-scale component of vector fields, in such a way that comparison
between solar and stellar (large-scale) magnetic field vector maps can be
directly made. Our approach extends the technique widely used to decompose the
radial component of the solar magnetic field to the azimuthal and meridional
components as well. For that, we self-consistently decompose the
three-components of the vector field using spherical harmonics of different $l$
degrees. By retaining the low $l$ degrees in the decomposition, we are able to
calculate the large-scale magnetic field vector. Using a synoptic map of the
solar vector field at Carrington Rotation CR2109, we derive the solar magnetic
field vector at a similar resolution level as that from stellar magnetic
images. We demonstrate that the large-scale field of the Sun is not purely
radial, as often assumed -- at CR2109, $83\%$ of the magnetic energy is in the
radial component, while $10\%$ is in the azimuthal and $7\%$ is in the
meridional components. By separating the vector field into poloidal and
toroidal components, we show that the solar magnetic energy at CR2109 is mainly
($>90\%$) poloidal. Our description is entirely consistent with the description
adopted in several stellar studies. Our formalism can also be used to confront
synoptic maps synthesised in numerical simulations of dynamo and magnetic flux
transport studies to those derived from stellar observations.