title:
Analysis of a Mogi-type model describing surface deformations induced by
  a magma chamber embedded in an elastic half-space

abstract:
  Motivated by a vulcanological problem, we establish a sound mathematical
approach for surface deformation effects generated by a magma chamber embedded
into Earth's interior and exerting on it a uniform hydrostatic pressure.
Modeling assumptions translate the problem into classical elasto-static system
(homogeneous and isotropic) in an half-space with an embedded cavity. The
boundary conditions are traction-free for the air/crust boundary and uniformly
hydrostatic for the crust/chamber boundary. These are complemented with
zero-displacement condition at infinity (with decay rate).
  After a short presentation of the model and of its geophysical interest, we
establish the well-posedness of the problem and provide an appropriate integral
formulation for its solution for cavity with general shape. Based on that,
assuming that the chamber is centred at some fixed point $\bm{z}$ and has
diameter $\varepsilon>0$, small with respect to the depth $d$, we derive
rigorously the principal term in the asymptotic expansion for the surface
deformation as $\varepsilon=r/d\to 0^+$. Such formula provides a rigorous proof
of the Mogi point source model in the case of spherical cavities generalizing
it to the case of cavities of arbitrary shape.


title:
Fast, Compact, and High Quality LSTM-RNN Based Statistical Parametric
  Speech Synthesizers for Mobile Devices

abstract:
  Acoustic models based on long short-term memory recurrent neural networks
(LSTM-RNNs) were applied to statistical parametric speech synthesis (SPSS) and
showed significant improvements in naturalness and latency over those based on
hidden Markov models (HMMs). This paper describes further optimizations of
LSTM-RNN-based SPSS for deployment on mobile devices; weight quantization,
multi-frame inference, and robust inference using an {\epsilon}-contaminated
Gaussian loss function. Experimental results in subjective listening tests show
that these optimizations can make LSTM-RNN-based SPSS comparable to HMM-based
SPSS in runtime speed while maintaining naturalness. Evaluations between
LSTM-RNN- based SPSS and HMM-driven unit selection speech synthesis are also
presented.


title: Failure time in heterogeneous systems

abstract:
  We show that the failure time $\tau_f$ in fiber bundle model, taken as a
prototype of heterogeneous materials, depends crucially on the strength of the
disorder $\delta$ and the stress release range $R$ in the system. For $R$
beyond a critical value $R_c$ the distribution of $\tau_f$ follows Weibull
form. In this region, the average $\tau_f$ shows the variation $\tau_f \sim
L^{\alpha}$ where $L$ is the system size. For $R<R_c$, $\tau_f\sim L/R$. We
find that the crossover length scale has the scaling form $R_c \sim
L^{1-\alpha}$. This scaling has been found to be valid for various disorder
distributions. For $\delta<\delta_c$, $\alpha$ is an increasing function of
$\delta$. For all $\delta \ge \delta_c$, $\alpha$=1/3.


title: A Strong Electroweak Phase Transition from the Inflaton Field

abstract:
  We study a singlet scalar extension of the Standard Model. The singlet scalar
is coupled non-minimally to gravity and assumed to drive inflation, and also
couple sufficiently strongly with the SM Higgs field in order to provide for a
strong first order electroweak phase transition. Requiring the model to
describe inflation successfully, be compatible with the LHC data, and yield a
strong first order electroweak phase transition, we identify the regions of the
parameter space where the model is viable. We also include a singlet fermion
with scalar coupling to the singlet scalar to probe the sensitivity of the
constraints on additional degrees of freedom and their couplings in the singlet
sector. We also comment on the general feasibility of these fields to act as
dark matter.


title: Some remarks on Mahler's classification in higher dimension

abstract:
  We prove a number of results on the metric and non-metric theory of
Diophantine approximation for Yu's multidimensional variant of Mahler's
classification of transcendental numbers. Our results arise as applications of
well known results in Diophantine approximation to the setting of Yu's
classification.


title:
Observing Quantum Trajectories: From Mott's Problem to Quantum Zeno
  Effect and Back

abstract:
  The experimental results of Kocsis et al., Mahler et al. and the proposed
experiments of Morley et al. show that it is possible to construct
"trajectories" in interference regions in a two-slit interferometer. These
results call for a theoretical re-appraisal of the notion of a "quantum
trajectory" first introduced by Dirac and in the present paper we re-examine
this notion from the Bohm perspective based on Hamiltonian flows. In
particular, we examine the short-time propagator and the role that the quantum
potential plays in determining the form of these trajectories. These
trajectories differ from those produced in a typical particle tracker and the
key to this difference lies in the active suppression of the quantum potential
necessary to produce Mott-type trajectories. We show, using a rigorous
mathematical argument, how the active suppression of this potential arises.
Finally we discuss in detail how this suppression also accounts for the quantum
Zeno effect.


title: Mining Local Process Models

abstract:
  In this paper we describe a method to discover frequent behavioral patterns
in event logs. We express these patterns as \emph{local process models}. Local
process model mining can be positioned in-between process discovery and episode
/ sequential pattern mining. The technique presented in this paper is able to
learn behavioral patterns involving sequential composition, concurrency, choice
and loop, like in process mining. However, we do not look at start-to-end
models, which distinguishes our approach from process discovery and creates a
link to episode / sequential pattern mining. We propose an incremental
procedure for building local process models capturing frequent patterns based
on so-called process trees. We propose five quality dimensions and
corresponding metrics for local process models, given an event log. We show
monotonicity properties for some quality dimensions, enabling a speedup of
local process model discovery through pruning. We demonstrate through a real
life case study that mining local patterns allows us to get insights in
processes where regular start-to-end process discovery techniques are only able
to learn unstructured, flower-like, models.


title: Counting curve types

abstract:
  Let $S$ be a closed orientable hyperbolic surface, and let $\mathcal{O}(K,S)$
denote the number of mapping class group orbits of curves on $S$ with at most
$K$ self-intersections. Building on work of Sapir [16], we give upper and lower
bounds for $\mathcal{O}(K,S)$ which are both exponential in $\sqrt{K}$.


title: The planar Ising model and total positivity

abstract:
  A matrix is called totally positive (resp. totally nonnegative) if all its
minors are positive (resp. nonnegative). Consider the Ising model with free
boundary conditions and no external field on a planar graph $G$. Let
$a_1,\dots,a_k,b_k,\dots,b_1$ be vertices placed in a counterclockwise order on
the outer face of $G$. We show that the $k\times k$ matrix of the two-point
spin correlation functions \[
  M_{i,j} = \langle \sigma_{a_i} \sigma_{b_j} \rangle
  \] is totally nonnegative. Moreover, $\det M > 0$ if and only if there exist
$k$ pairwise vertex-disjoint paths that connect $a_i$ with $b_i$. We also
compute the scaling limit at criticality of the probability that there are $k$
parallel and disjoint connections between $a_i$ and $b_i$ in the double random
current model. Our results are based on a new distributional relation between
double random currents and random alternating flows of Talaska.


title: Relative Natural Gradient for Learning Large Complex Models

abstract:
  Fisher information and natural gradient provided deep insights and powerful
tools to artificial neural networks. However related analysis becomes more and
more difficult as the learner's structure turns large and complex. This paper
makes a preliminary step towards a new direction. We extract a local component
of a large neuron system, and defines its relative Fisher information metric
that describes accurately this small component, and is invariant to the other
parts of the system. This concept is important because the geometry structure
is much simplified and it can be easily applied to guide the learning of neural
networks. We provide an analysis on a list of commonly used components, and
demonstrate how to use this concept to further improve optimization.


title: Thermodynamic stability of black holes surrounded by quintessence

abstract:
  We study the thermodynamic stabilities of uncharged and charged black holes
surrounded by quintessence (BHQ) by means of effective thermodynamic
quantities. When the state parameter of quintessence $\omega_q$ is
appropriately chosen, the structures of BHQ are something like that of black
holes in de Sitter space. Constructing the effective first law of
thermodynamics in two different ways, we can derive the effective thermodynamic
quantities of BHQ. Especially, these effective thermodynamic quantities also
satisfy Smarr-like formulae. It is found that the uncharged BHQ is always
thermodynamically unstable due to negative heat capacity, while for the charged
BHQ there are phase transitions of the second order. We also show that there is
a great deal of difference on the thermodynamic properties and critical
behaviors of BHQ between the two ways we employed.


title:
Global and interior pointwise best approximation results for the
  gradient of Galerkin solutions for parabolic problems

abstract:
  In this paper we establish best approximation property of fully discrete
Galerkin solutions of second order parabolic problems on convex polygonal and
polyhedral domains in the $L^\infty(I;W^{1,\infty}(\Om))$ norm. The
discretization method consists of continuous Lagrange finite elements in space
and discontinuous Galerkin methods of arbitrary order in time. The method of
the proof differs from the established fully discrete error estimate techniques
and uses only elliptic results and discrete maximal parabolic regularity for
discontinuous Galerkin methods established by the authors in
\cite{LeykekhmanD_VexlerB_2016b}. In addition, the proof does not require any
relationship between spatial mesh sizes and time steps. We also establish
interior best approximation property that shows more local dependence of the
error at a point.


title:
State injection, lattice surgery and dense packing of the
  deformation-based surface code

abstract:
  Resource consumption of the conventional surface code is expensive, in part
due to the need to separate the defects that create the logical qubit far apart
on the physical qubit lattice. We propose that instantiating the
deformation-based surface code using superstabilizers makes it possible to
detect short error chains connecting the superstabilizers, allowing us to place
logical qubits close together. Additionally, we demonstrate the process of
conversion from the defect-based surface code, which works as arbitrary state
injection, and a lattice surgery-like CNOT gate implementation that requires
fewer physical qubits than the braiding CNOT gate. Finally we propose a
placement design for the deformation-based surface code and analyze its
resource consumption; large scale quantum computation requires $\frac{25}{4}d^2
+5d + 1$ physical qubits per logical qubit where $d$ is the code distance,
whereas the planar code requires $16d^2 -16d + 4$ physical qubits per logical
qubit, for a reduction of about 55%.


title: Spectroscopy Made Easy: Evolution

abstract:
  Context. The Spectroscopy Made Easy (SME) package has become a popular tool
for analyzing stellar spectra, often in connection with large surveys or
exoplanet research. SME has evolved significantly since it was first described
in 1996, but many of the original caveats and potholes still haunt users. The
main drivers for this paper are complexity of the modeling task, the large user
community, and the massive effort that has gone into SME.
  Aims. We do not intend to give a comprehensive introduction to stellar
atmospheres, but will describe changes to key components of SME: the equation
of state, opacities, and radiative transfer. We will describe the analysis and
fitting procedure and investigate various error sources that affect inferred
parameters.
  Methods. We review the current status of SME, emphasizing new algorithms and
methods. We describe some best practices for using the package, based on
lessons learned over two decades of SME usage. We present a new way to assess
uncertainties in derived stellar parameters.
  Results. Improvements made to SME, better line data, and new model
atmospheres yield more realistic stellar spectra, but in many cases systematic
errors still dominate over measurement uncertainty. Future enhancements are
outlined.


title: Effective bounds for Brauer groups of Kummer surfaces over number fields

abstract:
  We study effective bounds for Brauer groups of Kummer surfaces associated to
the Jacobians of curves of genus $2$ defined over number fields.


title:
The Ground state of BiFeO3: Low temperature magnetic phase transitions
  revisited

abstract:
  Recent neutron diffraction and NMR studies suggest that the incommensurately
modulated spin cycloid structure of BiFeO3 is stable down to 4.2 K, whereas DC
[M(T)] and AC [\c{hi} ({\omega}, T)] magnetization, and caloric studies have
revealed several magnetic transitions including a spin glass transition around
25 K. The two sets of observations are irreconcilable and to settle this, it is
important to first verify if the low temperature magnetic transitions are
intrinsic to BiFeO3 or some of them are offshoots of oxygen vacancies and the
associated redox reaction involving conversion of Fe3+ to Fe2+. We present here
the results of M (T) and \c{hi} ({\omega}, T) measurements on pure and 0.3 wt%
MnO2 doped BiFeO3 samples in the 2 to 300 K temperature range. It is shown that
MnO2 doping increases the resistivity of the samples by three orders of
magnitude as a result of reduced oxygen vacancy concentration. A comparative
study of the M (T) and AC \c{hi} ({\omega}, T) results on two types of samples
reveals that the transitions around 25 K, 110 K and 250 K may be intrinsic to
BiFeO3. The widely reported transition at 50 K is argued to be defect induced,
as it is absent in the doped samples. We also show that the spin glass
transition temperature TSG is less than the spin glass freezing temperature
(Tf), as expected for both canonical and cluster glasses, in marked contrast to
an earlier report of TSG > Tf which is unphysical. We have also observed a cusp
corresponding to the spin glass freezing at Tf in ZFC M (T) data not observed
so far by previous workers. We argue that the ground state of BiFeO3 consists
of the coexistence of the spin glass phase with the long range ordered AFM
phase with a cycloidal spin structure.


title: L\'eon Rosenfeld's general theory of constrained Hamiltonian dynamics

abstract:
  This commentary reflects on the 1930 discoveries of L\'eon Rosenfeld in the
domain of phase-space constraints. We start with a short biography of Rosenfeld
and his motivation for this article in the context of ideas pursued by W.
Pauli, F. Klein, E. Noether. We then comment on Rosenfeld's General Theory
dealing with symmetries and constraints, symmetry generators, conservation laws
and the construction of a Hamiltonian in the case of phase-space constraints.
It is remarkable that he was able to derive expressions for all phase space
symmetry generators without making explicit reference to the generator of time
evolution. In his Applications, Rosenfeld treated the general relativistic
example of Einstein-Maxwell-Dirac theory. We show, that although Rosenfeld
refrained from fully applying his general findings to this example, he could
have obtained the Hamiltonian. Many of Rosenfeld's discoveries were
re-developed or re-discovered by others two decades later, yet as we show there
remain additional firsts that are still not recognized in the community.


title: Impact of residual contamination on inclusive and direct photon flow

abstract:
  Direct photon flow is measured by subtracting the contribution of decay
photon flow from the measured inclusive photon flow via the double ratio
$R_{\rm \gamma}$, which defines the excess of direct over decay photons. The
inclusive photon sample is affected by a modest contamination from different
background sources, which is often ignored in measurements. However, due to the
sensitivity of the direct photon measurement even a residual contamination may
significantly bias the extracted direct photon flow. In particular, for
measurements using photon conversions, which are very powerful at low
transverse momentum, these effects can be substantial. Assuming three different
types of correlated background contributions we demonstrate using the
Therminator2 event generator that the impact of the contamination on the
magnitude of direct photon flow can be on the level of $50\%$, even if the
purity of the inclusive photon sample is about $97\%$. Future measurements
should attempt to account for the contamination by measuring the background
contributions and subtracting them from the inclusive photon flow.


title: Fourier coefficients of $\times p$-invariant measures

abstract:
  We consider densities $D_\Sigma(A)$, $\overline{D}_\Sigma(A)$ and
$\underline{D}_\Sigma(A)$ for a subset $A$ of $\mathbb{N}$ with respect to a
sequence $\Sigma$ of finite subsets of $\mathbb{N}$ and study Fourier
coefficients of ergodic, weakly mixing and strongly mixing $\times p$-invariant
measures on the unit circle $\mathbb{T}$. Combining these, we prove the
following measure rigidity results: on $\mathbb{T}$, the Lebesgue measure is
the only non-atomic $\times p$-invariant measure satisfying one of the
following: (1) $\mu$ is ergodic and there exist a F\o lner sequence $\Sigma$ in
$\mathbb{N}$ and a nonzero integer $l$ such that $\mu$ is $\times
(p^j+l)$-invariant for all $j$ in a subset $A$ of $\mathbb{N}$ with
$D_\Sigma(A)=1$; (2) $\mu$ is weakly mixing and there exist a F\o lner sequence
$\Sigma$ in $\mathbb{N}$ and a nonzero integer $l$ such that $\mu$ is $\times
(p^j+l)$-invariant for all $j$ in a subset $A$ of $\mathbb{N}$ with
$\overline{D}_\Sigma(A)>0$; (3) $\mu$ is strongly mixing and there exists a
nonzero integer $l$ such that $\mu$ is $\times (p^j+l)$-invariant for
infinitely many $j$. Moreover, a $\times p$-invariant measure satisfying (2) or
(3) is either a Dirac measure or the Lebesgue measure.
  As an application we prove that for every increasing function $\tau$ defined
on positive integers with $\lim_{n\to\infty}\tau(n)=\infty$, there exists a
multiplicative semigroup $S_\tau$ of $\mathbb{Z}^+$ containing $p$ such that
$|S_\tau\cap[1,n]|\leq (\log_p n)^{\tau(n)}$ and the Lebesgue measure is the
only non-atomic ergodic $\times p$-invariant measure which is $\times
q$-invariant for all $q$ in $S_\tau$.


title:
A characterization of regular, intra-regular, left quasi-regular and
  semisimple hypersemigroups in terms of fuzzy sets

abstract:
  We prove that an hypersemigroup $H$ is regular if and only, for any fuzzy
subset $f$ of $H$, we have $f\preceq f\circ 1\circ f$ and it is intra-regular
if and only if, for any fuzzy subset $f$ of $H$, we have $f\preceq 1\circ
f\circ f\circ 1$. An hypersemigroup $H$ is left (resp. right) quasi-regular if
and only if, for any fuzzy subset $f$ of $S$ we have $f\preceq 1\circ f\circ
1\circ f$ (resp. $f\preceq f\circ 1\circ f\circ 1)$ and it is semisimple if and
only if, for any fuzzy subset $f$ of $S$ we have $f\preceq 1\circ f\circ 1\circ
f\circ 1$. The characterization of regular and intra-regular hypersemigroups in
terms of fuzzy subsets are very useful for applications.


title: Decomposition of tensor products involving a Steinberg module

abstract:
  We study the decomposition of tensor products between a Steinberg module and
a costandard module, both as a module for the algebraic group $G$ and when
restricted to either a Frobenius kernel $G_r$ or a finite Chevalley group
$G(\mathbb{F}_q)$. In all three cases, we give formulas reducing this to
standard character data for $G$.
  Along the way, we define a bilinear form on the characters of finite
dimensional $G$-modules and use this to give formulas for the dimension of
homomorphism spaces between certain $G$-modules when restricted to either $G_r$
or $G(\mathbb{F}_q)$. Further, this form allows us to give a new proof of the
reciprocity between tilting modules and simple modules for $G$ which has
slightly weaker assumptions than earlier such proofs. Finally, we prove that in
a suitable formulation, this reciprocity is equivalent to Donkin's tilting
conjecture.


title:
How Relevant is the Long Tail? A Relevance Assessment Study on Million
  Short

abstract:
  Users of web search engines are known to mostly focus on the top ranked
results of the search engine result page. While many studies support this well
known information seeking pattern only few studies concentrate on the question
what users are missing by neglecting lower ranked results. To learn more about
the relevance distributions in the so-called long tail we conducted a relevance
assessment study with the Million Short long-tail web search engine. While we
see a clear difference in the content between the head and the tail of the
search engine result list we see no statistical significant differences in the
binary relevance judgments and weak significant differences when using graded
relevance. The tail contains different but still valuable results. We argue
that the long tail can be a rich source for the diversification of web search
engine result lists but it needs more evaluation to clearly describe the
differences.


title:
Testing statistics of the CMB B-mode polarization toward unambiguously
  establishing quantum fluctuation of vacuum

abstract:
  The B-mode polarization in the cosmic microwave background (CMB) anisotropies
at large angular scales provides a smoking-gun evidence for the primordial
gravitational waves (GWs). It is often stated that a discovery of the GWs
establishes the quantum fluctuation of vacuum during the cosmic inflation.
Since the GWs could also be generated by source fields, however, we need to
check if a sizable signal exists due to such source fields before reaching a
firm conclusion when the B-mode is discovered. Source fields of particular
types can generate non-Gaussianity (NG) in the GWs. Testing statistics of the
B-mode is a powerful way of detecting such NG. As a concrete example, we show a
model in which a gauge field sources chiral GWs via a pseudoscalar coupling,
and forecast the detection significance at the future CMB satellite LiteBIRD.
Effects of residual foregrounds and lensing B-mode are both taken into account.
We find the B-mode bispectrum "BBB" is in particular sensitive to the
source-field NG, which is detectable at LiteBIRD with a $> 3 \sigma$
significance. Therefore the search for the "BBB" will be indispensable toward
unambiguously establishing quantum fluctuation of vacuum when the B-mode is
discovered. We also introduced the Minkowski functional to detect the NGs.
While we find that the Minkowski functional is less efficient than the
harmonic-space bispectrum estimator, it still serves as a useful cross check.
Finally, we also discuss the possibility of extracting clean information on
parity violation of GWs, and new types of parity-violating observables induced
by lensing.


title: Product Classification in E-Commerce using Distributional Semantics

abstract:
  Product classification is the task of automatically predicting a taxonomy
path for a product in a predefined taxonomy hierarchy given a textual product
description or title. For efficient product classification we require a
suitable representation for a document (the textual description of a product)
feature vector and efficient and fast algorithms for prediction. To address the
above challenges, we propose a new distributional semantics representation for
document vector formation. We also develop a new two-level ensemble approach
utilizing (with respect to the taxonomy tree) a path-wise, node-wise and
depth-wise classifiers for error reduction in the final product classification.
Our experiments show the effectiveness of the distributional representation and
the ensemble approach on data sets from a leading e-commerce platform and
achieve better results on various evaluation metrics compared to earlier
approaches.


title: Learning robust control for generating universal quantum gates

abstract:
  Constructing a set of universal quantum gates is a fundamental task for
quantum computation. The existence of noises, disturbances and fluctuations is
unavoidable during the process of implementing quantum gates for most practical
quantum systems. This paper employs a sampling-based learning method to find
robust control pulses for generating a set of universal quantum gates.
Numerical results show that the learned robust control fields are insensitive
to disturbances, uncertainties and fluctuations during the process of realizing
universal quantum gates.


title:
The motivic Adams-Novikov spectral sequence at odd primes over
  $\mathbb{C}$ and $\mathbb{R}$

abstract:
  We study the motivic Adams-Novikov spectral sequence at an odd prime $l$ over
the base fields $\mathbb{C}$ and $\mathbb{R}$. This spectral sequence converges
to the stable motivic homotopy groups of the $l$-completed motivic sphere
spectrum. We show that the spectral sequence is determined by the topological
Adams-Novikov sequence, similar to the situation at the prime two over the base
field $\mathbb{C}$.


title:
Uncertainty in Neural Network Word Embedding: Exploration of Threshold
  for Similarity

abstract:
  Word embedding, specially with its recent developments, promises a
quantification of the similarity between terms. However, it is not clear to
which extent this similarity value can be genuinely meaningful and useful for
subsequent tasks. We explore how the similarity score obtained from the models
is really indicative of term relatedness. We first observe and quantify the
uncertainty factor of the word embedding models regarding to the similarity
value. Based on this factor, we introduce a general threshold on various
dimensions which effectively filters the highly related terms. Our evaluation
on four information retrieval collections supports the effectiveness of our
approach as the results of the introduced threshold are significantly better
than the baseline while being equal to or statistically indistinguishable from
the optimal results.


title: Beam Transport in Toroidal Magnetic Field

abstract:
  The concept of a storage ring with toroidal magnetic field was presented in
the two previous EPAC conferences. Here we report the first results of
experiments performed with beam transport in toroidal magnetic fields and
details of the injection system. The beam transport experiments were carried
out with 30 degree toroidal segments with an axial magnetic field of 0.6T. The
multi turn injection system relies on a transverse injection coil together with
an electric kicker system.


title: Status of the NSCL Cyclotron Gas Stopper

abstract:
  A gas-filled reverse cyclotron for the thermalisation of energetic beams is
under construction at NSCL/MSU. Rare isotopes produced via projectile
fragmentation after in-flight separation will be injected into the device and
converted into low-energy beams through buffer gas interactions as they spiral
towards the centre of the device. The extracted thermal beams will be used for
low energy experiments such as precision mass measurements with traps or laser
spectroscopy, and further transport for reacceleration. Detailed calculations
have been performed to optimize the magnetic field design as well as the
transport and stopping of ions inside the gas. An RF carpet will be used to
transport the thermal ions to the axial extraction point. The calculations
indicate that the cyclotron gas stopper will be much more efficient for the
thermalisation of light and medium mass ions compared to linear gas cells. In
this contribution we will discuss simulations of the overall performance and
acceptance of machine, the beam matching calculations to the fragment separator
emittance, and the construction status.


title:
Weighted Caffarelli-Kohn-Nirenberg type inequalities related to Grushin
  type operators

abstract:
  We consider the Grushin type operator on $\mathbb{R}^{d}_x \times
\mathbb{R}^{k}_y$ with the form \begin{equation*}
G_\mu=\overset{d}{\underset{i=1}{\sum}}\partial_{x_i}^2+\left(\overset{d}{\underset{i=1}{\sum}}x_i^2\right)^{2\mu}\overset{k}{\underset{j=1}{\sum}}\partial_{y_j}^2.
\end{equation*} and derive weighted Hardy-Sobolev type inequalities and
weighted Caffarelli-Kohn-Nirenberg type inequalities related to $G_\mu$.


title:
A conditional likelihood is required to estimate the selection
  coefficient in ancient DNA

abstract:
  Time-series of allele frequencies are a useful and unique set of data to
determine the strength of natural selection on the background of genetic drift.
Technically, the selection coefficient is estimated by means of a likelihood
function built under the hypothesis that the available trajectory spans a
sufficiently large portion of the fitness landscape. Especially for ancient
DNA, however, often only one single such trajectories is available and the
coverage of the fitness landscape is very limited. In fact, one single
trajectory is more representative of a process conditioned both in the initial
and in the final condition than of a process free to visit the available
fitness landscape. Based on two models of population genetics, here we show how
to build a likelihood function for the selection coefficient that takes the
statistical peculiarity of single trajectories into account. We show that this
conditional likelihood delivers a precise estimate of the selection coefficient
also when allele frequencies are close to fixation whereas the unconditioned
likelihood fails. Finally, we discuss the fact that the traditional,
unconditioned likelihood always delivers an answer, which is often
unfalsifiable and appears reasonable also when it is not correct.


title: The no-wall holographic model for vector quarkonia

abstract:
  We use the no-wall holographic approach (a relative of the soft-wall one) to
construct a universal description of vector mesons with arbitrary quark masses.
The proposed model predicts a specific dependence of the parameters of radial
Regge trajectories on the quark masses in a reasonable agreement with the meson
phenomenology and some theoretical expectations.


title:
On sign-changing solutions for $(p,q)$-Laplace equations with two
  parameters

abstract:
  We investigate the existence of nodal (sign-changing) solutions to the
Dirichlet problem for two-parametric family of partially homogeneous
$(p,q)$-Laplace equations $-\Delta_p u -\Delta_q u=\alpha |u|^{p-2}u+\beta
|u|^{q-2}u$ where $p \neq q$. By virtue of the Nehari manifolds, linking
theorem, and descending flow, we explicitly characterize subsets of
$(\alpha,\beta)$-plane which correspond to the existence of nodal solutions. In
each subset the obtained solutions have prescribed signs of energy and, in some
cases, exactly two nodal domains. The nonexistence of nodal solutions is also
studied. Additionally, we explore several relations between eigenvalues and
eigenfunctions of the $p$- and $q$-Laplacians in one dimension.


title: Edge Majoranas on locally flat surfaces - the cone and the M\"obius band

abstract:
  In this paper, we investigate the edge Majorana modes in the simplest
possible $p{}_{x}+ip_{y}$ superconductor defined on surfaces with different
geometry - the annulus, the cylinder, the M\"obius band and a cone (by cone we
mean a cone with the tip cut away so it is topologically equivalent to the
annulus and cylinder)- and with different configuration of magnetic fluxes
threading holes in these surfaces. In particular, we shall address two
questions: Given that, in the absence of any flux, the ground state on the
annulus does not support Majorana modes, while the one on the cylinder does,
how is it possible that the conical geometry can interpolate smoothly between
the two? Given that in finite geometries edge Majorana modes have to come in
pairs, how can a $p{}_{x}+ip_{y}$ state be defined on a M\"obius band, which
has only one edge? We show that the key to answering these questions is that
the ground state depends on the geometry, even though all the surfaces are
locally flat. In the case of the truncated cone, there is a non-trivial
holonomy, while the non-orientable M\"obius band must necessarily support a
domain wall.


title: A Spectral Model for Multimodal Redshift Estimation

abstract:
  We present a physically inspired model for the problem of redshift
estimation. Typically, redshift estimation has been treated as a regression
problem that takes as input magnitudes and maps them to a single target
redshift. In this work we acknowledge the fact that observed magnitudes may
actually admit multiple plausible redshifts, i.e. the distribution of redshifts
explaining the observed magnitudes (or colours) is multimodal. Hence, employing
one of the standard regression models, as is typically done, is insufficient
for this kind of problem, as most models implement either one-to-one or
many-to-one mappings. The observed multimodality of solutions is a direct
consequence of (a) the variety of physical mechanisms that give rise to the
observations, (b) the limited number of measurements available and (c) the
presence of noise in photometric measurements. Our proposed solution consists
in formulating a model from first principles capable of generating spectra. The
generated spectra are integrated over filter curves to produce magnitudes which
are then matched to the observed magnitudes. The resulting model naturally
expresses a multimodal posterior over possible redshifts, includes measurement
uncertainty (e.g. missing values) and is shown to perform favourably on a real
dataset.


title:
A Rapid Compression Expansion Machine (RCEM) for studying chemical
  kinetics: Experimental principle and first applications

abstract:
  A novel extension of a rapid compression machine (RCM), namely a Rapid
Compression Expansion Machine (RCEM), is described and its use for studying
chemical kinetics is demonstrated. Like conventional RCMs, the RCEM quickly
compresses a fuel/air mixture by pushing a piston into a cylinder; the
resulting high temperatures and pressures initiate chemical reactions. In
addition, the machine can rapidly expand the compressed gas in a controlled way
by pulling the piston outwards again. This freezes chemical activity after a
pre-defined reaction duration, and therefore allows a convenient probe sampling
and ex-situ gas analysis of stable species. The RCEM therefore is a promising
instrument for studying chemical kinetics, including also partially reacted
fuel/air mixtures. The setup of the RCEM, its experimental characteristics and
its use for studying chemical reactions are outlined in detail. To allow
comparisons of RCEM results with predictions of chemical reaction mechanisms, a
simple numerical model of the RCEM process is described. As a first
application, ex-situ measurements of the temporal evolution of species in
partially reacted dimethyl ether/methane-mixtures are presented, and the
results are compared to predictions of a reaction mechanism.


title:
Towards mitigating the effect of sine-Gaussian noise transients on
  searches for gravitational waves from compact binary coalescences

abstract:
  Gravitational wave (GW) signals were recently detected directly by LIGO from
the coalescences of two black hole pairs. These detections have strengthened
our belief that compact binary coalescences (CBCs) are the most promising GW
detection prospects accessible to ground-based interferometric detectors. For
detecting CBC signals it is of vital importance to characterize and identify
non-Gaussian and non-stationary noise in these detectors. In this work we model
two important classes of transient artifacts that contribute to this noise and
adversely affect the detector sensitivity to CBC signals. One of them is the
sine-Gaussian glitch, characterized by a central frequency $f_0$ and a quality
factor $Q$ and the other is the chirping sine-Gaussian glitch, which is
characterized by $f_0$, $Q$ as well as a chirp parameter. We study the response
a bank of compact binary inspiral templates has to these two families of
glitches when they are used to match-filter data containing any of these
glitches. Two important characteristics of this response are the distributions
of the signal-to-noise ratio and the timelag of individual templates. We show
how these distributions differ from those when the detector data has a real CBC
signal instead of a glitch. We argue that these distinctions can be utilized to
develop useful signal-artifact vetos that add negligibly to the computational
cost of a CBC search. Specifically, we show how $f_0$ of a glitch can be used
to set adaptive time-windows around it so that any template trigger occurring
in that window can be quarantined for further vetting of its supposed
astrophysical nature. Second, we recommend focusing efforts on reducing the
incidence of glitches with low $f_0$ values because they create CBC triggers
with the longest timelags. This work allows us to associate such triggers with
the glitches which otherwise would have escaped attention.


title:
Universality and dependence on initial conditions in the class of the
  nonlinear molecular beam epitaxy equation

abstract:
  We report extensive numerical simulations of growth models belonging to the
nonlinear molecular beam epitaxy (nMBE) class, on flat (fixed-size) and
expanding substrates (ES). In both $d=1+1$ and $2+1$, we find that growth
regime height distributions (HDs), and spatial and temporal covariances are
universal, but are dependent on the initial conditions, while the critical
exponents are the same for flat and ES systems. Thus, the nMBE class does split
into subclasses, as does the Kardar-Parisi-Zhang (KPZ) class. Applying the "KPZ
ansatz" to nMBE models, we estimate the cumulants of the $1+1$ HDs. Spatial
covariance for the flat subclass is hallmarked by a minimum, which is not
present in the ES one. Temporal correlations are shown to decay following
well-known conjectures.


title: Geometrothermodynamics of BTZ black hole in new massive gravity

abstract:
  We investigate the thermodynamics as well as thermodynamic geometry of
chargeless BTZ black hole solution in new massive gravity. Phase structure and
thermodynamic stability of the system is analyzed using the
Geometrothermodynamic approach. The phase transition between BTZ black hole
space time and thermal AdS$_{3}$ soliton is studied using the same approach and
the existence of a second order phase transition is examined.


title:
Information Bounds and Flatness Factor Approximation for Fading Wiretap
  MIMO Channels

abstract:
  In this article, the design of secure lattice coset codes for general
wireless channels with fading and Gaussian noise is studied. Recalling the
eavesdropper's probability and information bounds, a variant of the latter is
given from which it is explicitly seen that both quantities are upper bounded
by (increasing functions of) the expected flatness factor of the faded lattice
related to the eavesdropper.
  By making use of a recently developed approximation of the theta series of a
lattice, it is further shown how the average flatness factor can be
approximated numerically. In particular, based on the numerical computations,
the average flatness factor not only bounds but also orders correctly the
performance of different lattices.


title:
Flux line relaxation kinetics following current quenches in disordered
  type-II superconductors

abstract:
  We investigate the relaxation dynamics of magnetic vortex lines in type-II
superconductors following rapid changes of the external driving current by
means of an elastic line model simulated with Langevin molecular dynamics. A
system of flux vortices in a sample with randomly distributed point-like
defects is subjected to an external current of appropriate strength for a
sufficient period of time so as to be in a moving non-equilibrium steady state.
The current is then instantaneously lowered to a value that pertains to either
the moving or pinned regime. The ensuing relaxation of the flux lines is
studied via one-time observables such as their mean velocity and radius of
gyration. We have in addition measured the two-time flux line height
autocorrelation function to investigate dynamical scaling and aging behavior in
the system, which in particular emerge after quenches into the glassy pinned
state.


title: Plasmonic shock waves and solitons in a nanoring

abstract:
  We apply the hydrodynamic theory of electron liquid to demonstrate that a
circularly polarized radiation induces the diamagnetic, helicity-sensitive dc
current in a ballistic nanoring. This current is dramatically enhanced in the
vicinity of plasmonic resonances. The resulting magnetic moment of the nanoring
represents a giant increase of the inverse Faraday effect. With increasing
radiation intensity, linear plasmonic excitations evolve into the strongly
non-linear plasma shock waves. These excitations produce a series of the well
resolved peaks at the THz frequencies. We demonstrate that the plasmonic wave
dispersion transforms the shock waves into solitons. The predicted effects
should enable multiple applications in a wide frequency range (from the
microwave to terahertz band) using optically controlled ultra low loss
electric, photonic and magnetic devices.


title: More absorbers in hyperspaces

abstract:
  The family of all subcontinua that separate a compact connected $n$-manifold
$X$ (with or without boundary), $n\ge 3$, is an $F_\sigma$-absorber in the
hyperspace $C(X)$ of nonempty subcontinua of $X$. If $D_2(F_\sigma)$ is the
small Borel class of spaces which are differences of two $\sigma$-compact sets,
then the family of all $(n-1)$-dimensional continua that separate $X$ is a
$D_2(F_\sigma)$-absorber in $C(X)$. The families of nondegenerate colocally
connected or aposyndetic continua in $I^n$ and of at least two-dimensional or
decomposable Kelley continua are $F_{\sigma\delta}$-absorbers in the hyperspace
$C(I^n)$ for $n\ge 3$. The hyperspaces of all weakly infinite-dimensional
continua and of $C$-continua of dimensions at least 2 in a compact connected
Hilbert cube manifold $X$ are $\Pi ^1_1$-absorbers in $C(X)$. The family of all
hereditarily infinite-dimensional compacta in the Hilbert cube $I^\omega$ is
$\Pi ^1_1$-complete in $2^{I^\omega}$.


title: On $\ell$-torsion in class groups of number fields

abstract:
  For each integer $\ell \geq 1$, we prove an unconditional upper bound on the
size of the $\ell$-torsion subgroup of the class group, which holds for all but
a zero-density set of field extensions of $\mathbb{Q}$ of degree $d$, for any
fixed $d \in \{2,3,4,5\}$ (with the additional restriction in the case $d=4$
that the field be non-$D_4$). For sufficiently large $\ell$ (specified
explicitly), these results are as strong as a previously known bound that is
conditional on GRH. As part of our argument, we develop a probabilistic
"Chebyshev sieve," and give uniform, power-saving error terms for the
asymptotics of quartic (non-$D_4$) and quintic fields with chosen splitting
types at a finite set of primes.


title:
Impact of robot responsiveness and adult involvement on children's
  social behaviours in human-robot interaction

abstract:
  A key challenge in developing engaging social robots is creating convincing,
autonomous and responsive agents, which users perceive, and treat, as social
beings. As a part of the collaborative project: Expressive Agents for Symbiotic
Education and Learning (EASEL), this study examines the impact of autonomous
response to children's speech, by the humanoid robot Zeno, on their
interactions with it as a social entity. Results indicate that robot autonomy
and adult assistance during HRI can substantially influence children's
behaviour during interaction and their affect after. Children working with a
fully-autonomous, responsive robot demonstrated greater physical activity
following robot instruction than those working with a less responsive robot,
which required adult assistance to interact with. During dialogue with the
robot, children working with the fully-autonomous robot also looked towards the
robot in anticipation of its vocalisations on more occasions. In contrast, a
less responsive robot, requiring adult assistance to interact with, led to
greater self-report positive affect and more occasions of children looking to
the robot in response to its vocalisations. We discuss the broader implications
of these findings in terms of anthropomorphism of social robots and in relation
to the overall project strategy to further the understanding of how
interactions with social robots could lead to task-appropriate symbiotic
relationships.


title: Synchronized switch harvesting applied to piezoelectric flags

abstract:
  In this article the energy transfer between a flow and a fluttering
piezoelectric plate is investigated. In particular, the benefits of the use of
a Synchronized Switch Harvesting on Inductor (SSHI) circuit are studied. Both
wind tunnel experiments and numerical simulations are conducted in order to
analyse the influence of the switching process on the dynamics and the
efficiency of the system. Numerical simulations consist of a weakly non-linear
model of a plate in axial flow equipped with a single pair of piezoelectric
patches, discretized using a Galerkin method where basis functions are the
modes of the plate in vacuum. The discretized model is then integrated in time.
The results presented in this paper show that a significant improvement of the
harvested energy can be obtained using SSHI circuits compared to basic
resistive circuits. It is also shown that for strongly coupled systems, the
switching process inherent to he SSHI circuit has a significant impact on the
dynamics of the flag, which tends to decrease the relative efficiency gain.


title:
Analytical solutions of the geodesic equation in the (rotating) black
  string-(anti-) de sitter spacetime

abstract:
  In this paper we add a compact dimension to Schwarzschild-(anti-) de sitter
and Kerr-(anti-) de sitter spacetimes, which describes (rotating) black
string-(anti-) de sitter spacetime. We study the geodesic motion of test
particles and light rays in this spacetime. We present the analytical solutions
of the geodesic equations in terms of Weierstrass elliptic and Kleinian sigma
hyperelliptical functions. We also discuss the possible orbits and classify
them according to particle's energy and angular momentum. Moreover, the
obtained results, are compared to Schwarzschild-(anti-) de sitter and
Kerr-(anti-) de sitter spacetimes.


abstract:
  A decoupled scheme based on the Hermite expansion to construct lattice
Boltzmann models for the compressible Navier-Stokes equations with arbitrary
specific heat ratio is proposed. The local equilibrium distribution function
including the rotational velocity of particle is decoupled into two parts, i.e.
the local equilibrium distribution function of the translational velocity of
particle and that of the rotational velocity of particle. From these two local
equilibrium functions, two lattice Boltzmann models are derived via the Hermite
expansion, namely one is in relation to the translational velocity and the
other is connected with the rotational velocity. Accordingly, the distribution
function is also decoupled. After this, the evolution equation is decoupled
into the evolution equation of the translational velocity and that of the
rotational velocity. The two evolution equations evolve separately. The lattice
Boltzmann models used in the scheme proposed by this work are constructed via
the Hermite expansion, so it is easy to construct new schemes of higher-order
accuracy. To validate the proposed scheme, a shock tube simulation is
performed. The numerical results agree with the analytical solutions very well.


title: DualNet: Domain-Invariant Network for Visual Question Answering

abstract:
  Visual question answering (VQA) task not only bridges the gap between images
and language, but also requires that specific contents within the image are
understood as indicated by linguistic context of the question, in order to
generate the accurate answers. Thus, it is critical to build an efficient
embedding of images and texts. We implement DualNet, which fully takes
advantage of discriminative power of both image and textual features by
separately performing two operations. Building an ensemble of DualNet further
boosts the performance. Contrary to common belief, our method proved effective
in both real images and abstract scenes, in spite of significantly different
properties of respective domain. Our method was able to outperform previous
state-of-the-art methods in real images category even without explicitly
employing attention mechanism, and also outperformed our own state-of-the-art
method in abstract scenes category, which recently won the first place in VQA
Challenge 2016.


title: Anisotropic electron-phonon coupling in the spinel oxide superconductor

abstract:
  Among hundreds of spinel oxides, LiTi2O4 (LTO) is the only one that exhibits
superconductivity (Tc ~13 K). Although the general electron-phonon coupling is
still the main mechanism for electron pairing in LTO, unconventional behaviors
such as the anomalous magnetoresistance, anisotropic orbital/spin
susceptibilities, etc. reveal that both the spin and the orbital interactions
should also be considered for understanding the superconductivity. Here, we
investigate tunneling spectra of [111]-, [110]- and [001]-oriented high quality
LTO thin films. Several bosonic modes in tunneling spectra are observed in the
[111]- and [110]-oriented films but not in [001]-oriented ones, and these modes
still exist at T = 2Tc and beyond the upper critical field, which are confirmed
as stemming from electron-phonon interaction by DFT calculations. These modes
only appear in special surface orientations, indicating that the
electron-phonon coupling in LTO system is highly anisotropic and may be
enhanced by orbital-related state. The anisotropic electron-phonon coupling
should be taken seriously in understanding the nature of LTO superconductivity.


title:
Electronic friction near metal surfaces: a case where molecule-metal
  couplings depend on nuclear coordinates

abstract:
  We derive an explicit form for the electronic friction as felt by a molecule
near a metal surface for the general case that molecule-metal couplings depend
on nuclear coordinates. Our work generalizes a previous study by von Oppen et
al [Beilstein Journal of Nanotechnology, 3, 144, 2012], where we now go beyond
the Condon approximation (i.e. molecule-metal couplings are not held constant).
Using a non-equilibrium Green's function formalism in the adiabatic limit, we
show that fluctuating metal-molecule couplings lead to new frictional damping
terms and random forces, plus a correction to the potential of mean force.
Numerical tests are performed and compared with a modified classical master
equation; our results indicate that violating the Condon approximation can have
a large effect on dynamics.


title:
Deviations from universality in the fluctuation behavior of a
  heterogeneous complex system reveal intrinsic properties of components: The
  case of the international currency market

abstract:
  Identifying behavior that is relatively invariant under different conditions
is a challenging task in far-from-equilibrium complex systems. As an example of
how the existence of a semi-invariant signature can be masked by the
heterogeneity in the properties of the components comprising such systems, we
consider the exchange rate dynamics in the international currency market. We
show that the exponents characterizing the heavy tails of fluctuation
distributions for different currencies systematically diverge from a putative
universal form associated with the median value (~2) of the exponents. We
relate the degree of deviation of a particular currency from such an "inverse
square law" to fundamental macroscopic properties of the corresponding economy,
viz., measures of per capita production output and diversity of export
products. We also show that in contrast to uncorrelated random walks exhibited
by the exchange rate dynamics for currencies belonging to developed economies,
those of the less developed economies show characteristics of sub-diffusive
processes which we relate to the anti-correlated nature of the corresponding
fluctuations. Approaches similar to that presented here may help in identifying
invariant features obscured by the heterogeneous nature of components in other
complex systems.


title: The big-bang theory: construction, evolution and status

abstract:
  Over the past century, rooted in the theory of general relativity, cosmology
has developed a very successful physical model of the universe: the {\em
big-bang model}. Its construction followed different stages to incorporate
nuclear processes, the understanding of the matter present in the universe, a
description of the early universe and of the large scale structure. This model
has been confronted to a variety of observations that allow one to reconstruct
its expansion history, its thermal history and the structuration of matter.
Hence, what we refer to as the big-bang model today is radically different from
what one may have had in mind a century ago. This construction changed our
vision of the universe, both on observable scales and for the universe as a
whole. It offers in particular physical models for the origins of the atomic
nuclei, of matter and of the large scale structure. This text summarizes the
main steps of the construction of the model, linking its main predictions to
the observations that back them up. It also discusses its weaknesses, the open
questions and problems, among which the need for a dark sector including dark
matter and dark energy.


title:
Generation and precise control of dynamic biochemical gradients for
  cellular assays

abstract:
  Spatial gradients of diffusible signalling molecules play crucial roles in
controlling diverse cellular behaviour such as cell differentiation, tissue
patterning and chemotaxis. In this paper, we report the design and testing of a
microfluidic device for diffusion-based gradient generation for cellular
assays. A unique channel design of the device eliminates cross-flow between the
source and sink channels, thereby stabilising gradients by passive diffusion.
The platform also enables quick and flexible control of chemical concentration
that makes highly dynamic gradients in diffusion chambers. A model with the
first approximation of diffusion and surface adsorption of molecules
recapitulates the experimentally observed gradients. Budding yeast cells
cultured in a gradient of a chemical inducer expressed a reporter fluorescence
protein in a concentration-dependent manner. This microfluidic platform serves
as a versatile prototype applicable to a broad range of biomedical
investigations.


title: Planar digraphs of digirth four are 2-colourable

abstract:
  Neumann-Lara conjectured in 1985 that every planar digraph with digirth at
least three is 2-colourable, meaning that the vertices can be 2-coloured
without creating any monochromatic directed cycles. We prove a relaxed version
of this conjecture: every planar digraph of digirth at least four is
2-colourable.


title:
Diffusion paths between product life-cycles in European phonographic
  markets

abstract:
  We have investigated the product life-cycles of almost 17 000 hit singles
performed on the 12 biggest national phonographic markets in Europe including:
Austria, Belgium, France, Germany, Ireland, Italy, Netherlands, Norway, Spain,
Sweden, Switzerland and the United Kingdom. We have considered weekly singles
charts from the last 50 years (1966-2015) in each country. We analyze the
spread of hit singles popularity (chart topping) as an epidemiological process
performed on various European countries. Popular hit singles are contagious
from one country to another. Thus, we consider time delays between the initial
hit single release and reaching the highest position on consecutive national
singles charts. We create directed network of countries representing
transitions of hit singles popularity between countries. It is obtained by
simulating the most likely paths and picking up the most frequent links. A
country of initial hit single release is considered as a source of infection.
Our algorithm builds up spanning trees by attaching new nodes. The probability
of attachment depends on:
  1) new nodes immunity
  2) infectivity of previous nodes from the tree. Thus we obtain network of
popularity spread with a hub the UK, a bridge the Netherlands and outliers
Italy and Spain. We have found a characteristic topology of hit singles
popularity spread. The positive correlation between this network and geographic
or cultural grid-map of Europe is also observed. However, the network of
popularity spread has some typical properties of complex networks.


title:
Exploring Arsenic danger awareness in the Polish Copper Basin via
  network simulation - preliminary results

abstract:
  Information spread plays crucial role in risk management in case of
environmental danger. The structure of local society may be well described by
social network analysis. We have investigated the role of hubs within that
concept. In case of danger, there are two different strategies of information
management: 1) information spread that leads to awareness of the whole society
2) keeping the whole information in secret under control that leads to a
partial social awareness, available to a small number of people only. In our
model, the probability of information spread between two nodes is inverse
proportional to connectivity of the next node because people who have a lot of
connections are more immune. We have applied agent-based modelling on Barabasi
Albert networks to explore various scenarios of information spread. We have
considered recent arsenic environmental danger in G{\l}og\'ow and Legnica
(Copper Basin) according to the official available data (2015 - 2016) from
social network analysis point of view. We have considered various levels of
environmental danger. Despite blocking of information by hubs, the successful
information spread is possible when levels of danger are high enough. The
perception and impression of information spread by society is also.


title:
Multi-stage high order semi-Lagrangian schemes for incompressible flows
  in Cartesian geometries

abstract:
  Efficient transport algorithms are essential to the numerical resolution of
incompressible fluid flow problems. Semi-Lagrangian methods are widely used in
grid based methods to achieve this aim. The accuracy of the interpolation
strategy then determines the properties of the scheme. We introduce a simple
multi-stage procedure which can easily be used to increase the order of
accuracy of a code based on multi-linear interpolations. This approach is an
extension of a corrective algorithm introduced by Dupont \& Liu (2003, 2007).
This multi-stage procedure can be easily implemented in existing parallel codes
using a domain decomposition strategy, as the communications pattern is
identical to that of the multi-linear scheme. We show how a combination of a
forward and backward error correction can provide a third-order accurate
scheme, thus significantly reducing diffusive effects while retaining a
non-dispersive leading error term.


title: Strong spin Seebeck effect in Kondo T-shaped double quantum dots

abstract:
  We theoretically investigate the thermoelectric and spin thermoelectric
properties of a T-shaped double quantum dot strongly coupled to two
ferromagnetic leads, focusing on transport regime where the system exhibits the
two-stage Kondo effect. We study the dependence of the (spin) Seebeck
coefficient, the corresponding power factor and the figure of merit on
temperature, leads' spin polarization and dot level position. We show that the
thermal conductance fulfills a modified Wiedemann-Franz law. We also
demonstrate that the spin thermopower is enhanced at temperatures corresponding
to the second stage of Kondo screening. Very interestingly, the
spin-thermoelectric response of the system is found to be highly sensitive to
the spin polarization of the leads. In some cases spin polarization of the
order of 1% is sufficient for a strong spin Seebeck effect to occur. This is
explained as a consequence of the interplay between the two-stage Kondo effect
and the exchange field induced in the double quantum dot. All calculations are
performed with the aid of numerical renormalization group technique.


title:
On the existence of non-hyperbolic ergodic measures as the limit of
  periodic measures

abstract:
  [GIKN] and [BBD1] propose two very different ways for building non hyperbolic
measures, [GIKN] building such a measure as the limit of periodic measures and
[BBD1] as the $\omega$-limit set of a single orbit, with a uniformly vanishing
Lyapunov exponent. The technique in [GIKN] was essentially used in a generic
setting, as the periodic orbits were built by small perturbations. It is not
known if the measures obtained by the technique in [BBD1] are accumulated by
periodic measures.
  In this paper we use a shadowing lemma from [G]:
  $\bullet$for getting the periodic orbits in [GIKN] without perturbing the
dynamics,
  $\bullet$for recovering the compact set in [BBD1] with a uniformly vanishing
Lyapunov exponent by considering the limit of periodic orbits.
  As a consequence, we prove that there exists an open and dense subset
$\mathcal{U}$ of the set of robustly transitive non-hyperbolic diffeomorphisms
far from homoclinic tangencies, such that for any $f\in\mathcal{U}$, there
exists a non-hyperbolic ergodic measure with full support and approximated by
hyperbolic periodic measures.
  We also prove that there exists an open and dense subset $\mathcal{V}$ of the
set of diffeomorphisms exhibiting a robust cycle, such that for any
$f\in\mathcal{V}$, there exists a non-hyperbolic ergodic measure approximated
by hyperbolic periodic measures.


title:
Connected Lie Groupoids are Internally Connected and Integral Complete
  in Synthetic Differential Geometry

abstract:
  We extend some fundamental definitions and constructions in the established
generalisation of Lie theory involving Lie groupoids by reformulating them in
terms of groupoids internal to a well-adapted model of synthetic differential
geometry. In particular we define internal counterparts of the definitions of
source path and source simply connected groupoid and the integration of
$A$-paths. The main results of this paper show that if a classical Hausdorff
Lie groupoid satisfies one of the classical connectedness conditions it also
satisfies its internal counterpart.


title: Quantifying and Reducing Stereotypes in Word Embeddings

abstract:
  Machine learning algorithms are optimized to model statistical properties of
the training data. If the input data reflects stereotypes and biases of the
broader society, then the output of the learning algorithm also captures these
stereotypes. In this paper, we initiate the study of gender stereotypes in {\em
word embedding}, a popular framework to represent text data. As their use
becomes increasingly common, applications can inadvertently amplify unwanted
stereotypes. We show across multiple datasets that the embeddings contain
significant gender stereotypes, especially with regard to professions. We
created a novel gender analogy task and combined it with crowdsourcing to
systematically quantify the gender bias in a given embedding. We developed an
efficient algorithm that reduces gender stereotype using just a handful of
training examples while preserving the useful geometric properties of the
embedding. We evaluated our algorithm on several metrics. While we focus on
male/female stereotypes, our framework may be applicable to other types of
embedding biases.


title: Infinite Product Exponents for Modular Forms

abstract:
  Recently, D. Choi obtained a description of the coefficients of the infinite
product expansions of meromorphic modular forms over $\Gamma_0(N)$. Using this
result, we provide some bounds on these infinite product coefficients for
holomorphic modular forms. We give an exponential upper bound for the growth of
these coefficients. We show that this bound is also a lower bound in the case
that the genus of the associated modular curve $X_0(N)$ is $0$ or $1$.


title: A Boltzmann Machine Implementation for the D-Wave

abstract:
  The D-Wave is an adiabatic quantum computer. It is an understatement to say
that it is not a traditional computer. It can be viewed as a computational
accelerator or more precisely a computational oracle, where one asks it a
relevant question and it returns a useful answer. The question is how do you
ask a relevant question and how do you use the answer it returns. This paper
addresses these issues in a way that is pertinent to machine learning. A
Boltzmann machine is implemented with the D-Wave since the D-Wave is merely a
hardware instantiation of a partially connected Boltzmann machine. This paper
presents a prototype implementation of a 3-layered neural network where the
D-Wave is used as the middle (hidden) layer of the neural network. This paper
also explains how the D-Wave can be utilized in a multi-layer neural network
(more than 3 layers) and one in which each layer may be multiple times the size
of the D-Wave being used.


title:
Prospects for joint observations of gravitational waves and gamma rays
  from merging neutron star binaries

abstract:
  The detection of the events GW150914 and GW151226, both consistent with the
merger of a binary black hole system (BBH), opened the era of gravitational
wave (GW) astronomy. Besides BBHs, the most promising GW sources are the
coalescences of binary systems formed by two neutron stars or a neutron star
and a black hole. These mergers are thought to be connected with short Gamma
Ray Bursts (GRBs), therefore combined observations of GW and electromagnetic
(EM) signals could definitively probe this association. We present a detailed
study on the expectations for joint GW and high-energy EM observations of
coalescences of binary systems of neutron stars with Advanced Virgo and LIGO
and with the \emph{Fermi} gamma-ray telescope. To this scope, we designed a
dedicated Montecarlo simulation pipeline for the multimessenger emission and
detection by GW and gamma-ray instruments, considering the evolution of the GW
detector sensitivities. We show that the expected rate of joint detection is
low during the Advanced Virgo and Advanced LIGO 2016-2017 run; however, as the
interferometers approach their final design sensitivities, the rate will
increase by $\sim$ a factor of ten. Future joint observations will help to
constrain the association between short GRBs and binary systems and to solve
the puzzle of the progenitors of GWs. Comparison of the joint detection rate
with the ones predicted in this paper will help to constrain the geometry of
the GRB jet.


title:
Introducing a Calculus of Effects and Handlers for Natural Language
  Semantics

abstract:
  In compositional model-theoretic semantics, researchers assemble
truth-conditions or other kinds of denotations using the lambda calculus. It
was previously observed that the lambda terms and/or the denotations studied
tend to follow the same pattern: they are instances of a monad. In this paper,
we present an extension of the simply-typed lambda calculus that exploits this
uniformity using the recently discovered technique of effect handlers. We prove
that our calculus exhibits some of the key formal properties of the lambda
calculus and we use it to construct a modular semantics for a small fragment
that involves multiple distinct semantic phenomena.


title:
Bootstrapping with Models: Confidence Intervals for Off-Policy
  Evaluation

abstract:
  For an autonomous agent, executing a poor policy may be costly or even
dangerous. For such agents, it is desirable to determine confidence interval
lower bounds on the performance of any given policy without executing said
policy. Current methods for exact high confidence off-policy evaluation that
use importance sampling require a substantial amount of data to achieve a tight
lower bound. Existing model-based methods only address the problem in discrete
state spaces. Since exact bounds are intractable for many domains we trade off
strict guarantees of safety for more data-efficient approximate bounds. In this
context, we propose two bootstrapping off-policy evaluation methods which use
learned MDP transition models in order to estimate lower confidence bounds on
policy performance with limited data in both continuous and discrete state
spaces. Since direct use of a model may introduce bias, we derive a theoretical
upper bound on model bias for when the model transition function is estimated
with i.i.d. trajectories. This bound broadens our understanding of the
conditions under which model-based methods have high bias. Finally, we
empirically evaluate our proposed methods and analyze the settings in which
different bootstrapping off-policy confidence interval methods succeed and
fail.


title:
Cutting out the middleman: measuring nuclear area in histopathology
  slides without segmentation

abstract:
  The size of nuclei in histological preparations from excised breast tumors is
predictive of patient outcome (large nuclei indicate poor outcome).
Pathologists take into account nuclear size when performing breast cancer
grading. In addition, the mean nuclear area (MNA) has been shown to have
independent prognostic value. The straightforward approach to measuring nuclear
size is by performing nuclei segmentation. We hypothesize that given an image
of a tumor region with known nuclei locations, the area of the individual
nuclei and region statistics such as the MNA can be reliably computed directly
from the image data by employing a machine learning model, without the
intermediate step of nuclei segmentation. Towards this goal, we train a deep
convolutional neural network model that is applied locally at each nucleus
location, and can reliably measure the area of the individual nuclei and the
MNA. Furthermore, we show how such an approach can be extended to perform
combined nuclei detection and measurement, which is reminiscent of
granulometry.


title: Slice-quaternionic Hopf surfaces

abstract:
  We investigate slice-quaternionic Hopf surfaces. In particular, we construct
new structures of slice-quaternionic manifold on
$\mathbb{S}^1\times\mathbb{S}^7$, we study their group of automorphisms and
their deformations.


title:
Desain dan Implementasi Face Recognition dan Live Streaming pada Sistem
  Digital Assistant untuk Staf Medik Fungsional menggunakan Google Glass

abstract:
  DIANE is a digital assistant system that aims to fasten the doctor access to
various informations at the hospital such as health care facility, medical
records, and also human resource data. The fasten access could be achieved by
implementing face recognition and live streaming as part of the digital
assistant system. By using face recognition, DIANE can identify patient's
identity. Moreover, DIANE could know patient's biodata and also patient's
medical records. Live streaming in DIANE enables doctor to communicate with
other doctors in different place. Through the increasing speed of doctor to
access the various informations at the hospital, it is expected that doctor can
make decisions more quickly. As a result, more and more patients can be treated
by the doctor properly.
  ----
  DIANE merupakan sebuah sistem digital assistant yang bertujuan untuk
mempercepat akses staf medik fungsional sebagai seorang profesional dengan
waktu terbatas terhadap informasi seperti layanan kesehatan, rekam medis, dan
personalia pada SIRS tingkat rumah sakit. Percepatan akses terhadap informasi
tersebut diwujudkan melalui penggunaan fitur face recognition dan live
streaming. Dengan menggunakan face recognition, DIANE dapat mengidentifikasi
pasien sehingga dapat memberikan tampilan data berupa biodata dan rekam medis
pasien. Sedangkan menggunakan live streaming pada DIANE, seorang staf medik
fungsional dapat berkomunikasi dengan staf medik fungsional di tempat lain.
Dengan peningkatan kecepatan akses terhadap beragam informasi tersebut
diharapkan seorang staf medik fungsional dapat mengambil keputusan dengan lebih
cepat. Akibatnya, semakin banyak pasien yang dapat ditangani oleh staf medik
fungsional dengan baik.


title:
A new characterization of the jump rate for piecewise-deterministic
  Markov processes with discrete transitions

abstract:
  Piecewise-deterministic Markov processes form a general class of
non-diffusion stochastic models that involve both deterministic trajectories
and random jumps at random times. In this paper, we state a new
characterization of the jump rate of such a process with discrete transitions.
We deduce from this result a nonparametric technique for estimating this
feature of interest. We state the uniform convergence in probability of the
estimator. The methodology is illustrated on a numerical example.


title: Quantum processing by remote quantum control

abstract:
  Client-server models enable computations to be hosted remotely on quantum
servers. We present a novel protocol for realizing this task, with practical
advantages when using technology feasible in the near term. Client tasks are
realized as linear combinations of operations implemented by the server, where
the linear coefficients are hidden from the server. We report on an
experimental demonstration of our protocol using linear optics, which realizes
linear combination of two single-qubit operations by a remote single-qubit
control. In addition, we explain when our protocol can remain efficient for
larger computations, as well as some ways in which privacy can be maintained
using our protocol.


title:
Spectroscopy at the solar limb: II. Are spicules heated to coronal
  temperatures ?

abstract:
  Spicules of the so-called type II were suggested to be relevant for coronal
heating because of their ubiquity on the solar surface and their eventual
extension into the corona. We investigate whether solar spicules are heated to
transition-region or coronal temperatures and reach coronal heights (>6 Mm)
using multi-wavelength observations of limb spicules in different chromospheric
spectral lines (Ca II H, Hepsilon, Halpha, Ca II IR at 854.2 nm, He I at 1083
nm). We determine the line width of individual spicules and throughout the
field of view and estimate the maximal height that different types of off-limb
features reach. We derive estimates of the kinetic temperature and the
non-thermal velocity from the line width of spectral lines from different
chemical elements. We find that most regular spicules reach a maximal height of
about 6 Mm above the solar limb. The majority of features found at larger
heights are irregularly shaped with a significantly larger lateral extension
than spicules. Both individual and average line profiles in all spectral lines
show a decrease in their line width with height above the limb with very few
exceptions. Both the kinetic temperature and the non-thermal velocity decrease
with height above the limb. We find no indications that the spicules in our
data reach coronal heights or transition-region or coronal temperatures.


title: A Study of Energy and Locality Effects using Space-filling Curves

abstract:
  The cost of energy is becoming an increasingly important driver for the
operating cost of HPC systems, adding yet another facet to the challenge of
producing efficient code. In this paper, we investigate the energy implications
of trading computation for locality using Hilbert and Morton space-filling
curves with dense matrix-matrix multiplication. The advantage of these curves
is that they exhibit an inherent tiling effect without requiring specific
architecture tuning. By accessing the matrices in the order determined by the
space-filling curves, we can trade computation for locality. The index
computation overhead of the Morton curve is found to be balanced against its
locality and energy efficiency, while the overhead of the Hilbert curve
outweighs its improvements on our test system.


title: Single-diffractive Drell-Yan pair production at the LHC

abstract:
  We present predictions for single-diffractive low-mass Drell-Yan pair
production in $pp$ collisions at the LHC at $\sqrt{s}=13$ TeV. Predictions are
obtained adopting a factorised form for the relevant cross sections and are
based on a new set of diffractive parton distributions resulting from the QCD
analysis of combined HERA leading proton data. We discuss a number of
observables useful to characterise the expected factorisation breaking effects.


title: The Minimum Cost Connected Subgraph Problem in Medical Image Analysis

abstract:
  Several important tasks in medical image analysis can be stated in the form
of an optimization problem whose feasible solutions are connected subgraphs.
Examples include the reconstruction of neural or vascular structures under
connectedness constraints. We discuss the minimum cost connected subgraph
(MCCS) problem and its approximations from the perspective of medical
applications. We propose a) objective-dependent constraints and b) novel
constraint generation schemes to solve this optimization problem exactly by
means of a branch-and-cut algorithm. These are shown to improve scalability and
allow us to solve instances of two medical benchmark datasets to optimality for
the first time. This enables us to perform a quantitative comparison between
exact and approximative algorithms, where we identify the geodesic tree
algorithm as an excellent alternative to exact inference on the examined
datasets.


title:
Desain dan Implementasi Sistem Digital Assistant Berbasis Google Glass
  pada Rumah Sakit

abstract:
  In order to improve the performance of the hospital, one solution that is
needed is a system that can facilitate functional medical staff in the
discharge of their duties. This paper discusses the design and implementation
of digital assistant system designed for functional medical staff at the
hospital. This system is implemented in Google Glass, PC, tablet, and smart
phones. Google Glass device is equipped with two modules, which are patient
data module with face recognition feature and communication module with
livestreaming feature. Tablet devices and mobile phones are equipped with the
personnel module and display medical records module. Tablet devices are also
equipped with prescription writing. The whole process in all four devices
require webservice to be executed. The implementation results indicate that the
four software has been built based on the design and integrated with HIS
(Hospital Information System) database via web service.
  ----
  Demi meningkatkan kinerja rumah sakit, salah satu solusi yang diperlukan
adalah sebuah sistem yang dapat mempermudah staf medik fungsional dalam
menunaikan tugasnya. Makalah ini membahas mengenai desain dan implementasi
sistem digital assistant yang dirancang untuk staf medik fungsional di rumah
sakit. Sistem ini diimplementasikan pada perangkat keras Google Glass, PC,
tablet, dan ponsel pintar. Perangkat Google Glass dilengkapi dengan dua fitur
yaitu face recognition dan live streaming. Perangkat tablet dan ponsel
dilengkapi dengan modul personalia dan modul tampilan rekam medis. Perangkat
tablet juga dilengkapi dengan fitur penulisan resep. Seluruh proses pada
keempat perangkat tersebut membutuhkan web service untuk dapat dieksekusi.
Hasil implementasi mengindikasikan bahwa keempat perangkat lunak telah sesuai
dengan rancangan dan terintegrasikan dengan database SIRS tingkat rumah sakit
melalui web service.


title: LSTM-Based Predictions for Proactive Information Retrieval

abstract:
  We describe a method for proactive information retrieval targeted at
retrieving relevant information during a writing task. In our method, the
current task and the needs of the user are estimated, and the potential next
steps are unobtrusively predicted based on the user's past actions. We focus on
the task of writing, in which the user is coalescing previously collected
information into a text. Our proactive system automatically recommends the user
relevant background information. The proposed system incorporates text input
prediction using a long short-term memory (LSTM) network. We present
simulations, which show that the system is able to reach higher precision
values in an exploratory search setting compared to both a baseline and a
comparison system.


title:
A geometric inequality for convex free boundary hypersurfaces in the
  unit ball

abstract:
  We use the inverse mean curvature flow with a free boundary perpendicular to
the sphere to prove a geometric inequality involving the Willmore energy for
convex hypersurfaces of dimension $n\geq 3$ with boundary on the sphere.


title: Indicable groups and $p_c<1$

abstract:
  A conjecture of Benjamini & Schramm from 1996 states that any finitely
generated group that is not a finite extension of Z has a non-trivial
percolation phase. Our main results prove this conjecture for certain groups,
and in particular prove that any group with a non-trivial homomorphism into the
additive group of real numbers satisfies the conjecture. We use this to reduce
the conjecture to the case of hereditary just-infinite groups.
  The novelty here is mainly in the methods used, combining the methods of EIT
and evolving sets, and using the algebraic properties of the group to apply
these methods.


title: Rating Effects on Social News Posts and Comments

abstract:
  At a time when information seekers first turn to digital sources for news and
opinion, it is critical that we understand the role that social media plays in
human behavior. This is especially true when information consumers also act as
information producers and editors through their online activity. In order to
better understand the effects that editorial ratings have on online human
behavior, we report the results of a two large-scale in-vivo experiments in
social media. We find that small, random rating manipulations on social media
posts and comments created significant changes in downstream ratings resulting
in significantly different final outcomes. We found positive herding effects
for positive treatments on posts, increasing the final rating by 11.02% on
average, but not for positive treatments on comments. Contrary to the results
of related work, we found negative herding effects for negative treatments on
posts and comments, decreasing the final ratings on average, of posts by 5.15%
and of comments by 37.4%. Compared to the control group, the probability of
reaching a high rating (>=2000) for posts is increased by 24.6% when posts
receive the positive treatment and for comments is decreased by 46.6% when
comments receive the negative treatment.


title: Doubly coupled matter fields in massive bigravity

abstract:
  In the context of massive (bi-)gravity non-minimal matter couplings have been
proposed. These couplings are special in the sense that they are free of the
Boulware-Deser ghost below the strong coupling scale and can be used
consistently as an effective field theory. Furthermore, they enrich the
phenomenology of massive gravity. We consider these couplings in the framework
of bimetric gravity and study the cosmological implications for background and
linear tensor, vector, and scalar perturbations. Previous works have
investigated special branch of solutions. Here we perform a complete
perturbation analysis for the general background equations of motion completing
previous analysis.


title: Comparing the hierarchy of keywords in on-line news portals

abstract:
  The tagging of on-line content with informative keywords is a widespread
phenomenon from scientific article repositories through blogs to on-line news
portals. In most of the cases, the tags on a given item are free words chosen
by the authors independently. Therefore, relations among keywords in a
collection of news items is unknown. However, in most cases the topics and
concepts described by these keywords are forming a latent hierarchy, with the
more general topics and categories at the top, and more specialised ones at the
bottom. Here we apply a recent, cooccurrence-based tag hierarchy extraction
method to sets of keywords obtained from four different on-line news portals.
The resulting hierarchies show substantial differences not just in the topics
rendered as important (being at the top of the hierarchy) or of less interest
(categorised low in the hierarchy), but also in the underlying network
structure. This reveals discrepancies between the plausible keyword association
frameworks in the studied news portals.


title:
Vibrato and automatic differentiation for high order derivatives and
  sensitivities of financial options

abstract:
  This paper deals with the computation of second or higher order greeks of
financial securities. It combines two methods, Vibrato and automatic
differentiation and compares with other methods. We show that this combined
technique is faster than standard finite difference, more stable than automatic
differentiation of second order derivatives and more general than Malliavin
Calculus. We present a generic framework to compute any greeks and present
several applications on different types of financial contracts: European and
American options, multidimensional Basket Call and stochastic volatility models
such as Heston's model. We give also an algorithm to compute derivatives for
the Longstaff-Schwartz Monte Carlo method for American options. We also extend
automatic differentiation for second order derivatives of options with
non-twice differentiable payoff. 1. Introduction. Due to BASEL III regulations,
banks are requested to evaluate the sensitivities of their portfolios every day
(risk assessment). Some of these portfolios are huge and sensitivities are time
consuming to compute accurately. Faced with the problem of building a software
for this task and distrusting automatic differentiation for non-differentiable
functions, we turned to an idea developed by Mike Giles called Vibrato. Vibrato
at core is a differentiation of a combination of likelihood ratio method and
pathwise evaluation. In Giles [12], [13], it is shown that the computing time,
stability and precision are enhanced compared with numerical differentiation of
the full Monte Carlo path. In many cases, double sensitivities, i.e. second
derivatives with respect to parameters, are needed (e.g. gamma hedging). Finite
difference approximation of sensitivities is a very simple method but its
precision is hard to control because it relies on the appropriate choice of the
increment. Automatic differentiation of computer programs bypass the difficulty
and its computing cost is similar to finite difference, if not cheaper. But in
finance the payoff is never twice differentiable and so generalized derivatives
have to be used requiring approximations of Dirac functions of which the
precision is also doubtful. The purpose of this paper is to investigate the
feasibility of Vibrato for second and higher derivatives. We will first compare
Vibrato applied twice with the analytic differentiation of Vibrato and show
that it is equivalent, as the second is easier we propose the best compromise
for second derivatives: Automatic Differentiation of Vibrato. In [8], Capriotti
has recently investigated the coupling of different mathematical methods --
namely pathwise and likelihood ratio methods -- with an Automatic differ


title:
On the elliptic $\mathfrak{gl}_2$ solid-on-solid model: functional
  relations and determinants

abstract:
  In this work we study an elliptic solid-on-solid model with domain-wall
boundaries having the elliptic quantum group $\mathcal{E}_{p,
\gamma}[\widehat{\mathfrak{gl}_2}]$ as its underlying symmetry algebra. We
elaborate on results previously presented by the author and extend our analysis
to include continuous families of single determinantal representations for the
model's partition function. Interestingly, our families of representations are
parameterized by two continuous complex variables which can be arbitrarily
chosen without affecting the partition function.

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


title:
Vibrationally resolved UV/Vis spectroscopy with time-dependent density
  functional based tight binding

abstract:
  We report a time-dependent density functional based tight-binding (TD-DFTB)
scheme for the calculation of UV/Vis spectra, explicitly taking into account
the excitation of nuclear vibrations via the adiabatic Hessian Franck-Condon
(AH|FC) method with a harmonic approximation for the nuclear wavefunction. The
theory of vibrationally resolved UV/Vis spectroscopy is first summarized from
the viewpoint of TD-DFTB. The method is benchmarked against time-dependent
density functional theory (TD-DFT) calculations for strongly dipole allowed
excitations in various aromatic and polar molecules. Using the recent 3ob:freq
parameter set of Elstner's group, very good agreement with TD-DFT calculations
using local functionals was achieved.


title: Modeling the distribution of distance data in Euclidean space

abstract:
  Phylogenetic inference-the derivation of a hypothesis for the common
evolutionary history of a group of species- is an active area of research at
the intersection of biology, computer science, mathematics, and statistics. One
assumes the data contains a phylogenetic signal that will be recovered with
varying accuracy due to the quality of the method used, and the quality of the
data.
  The input for distance-based inference methods is an element of a Euclidean
space with coordinates indexed by the pairs of organisms. For several
algorithms there exists a subdivision of this space into polyhedral cones such
that inputs in the same cone return the same tree topology. The geometry of
these cones has been used to analyze the inference algorithms. In this chapter,
we model how input data points drawn from DNA sequences are distributed
throughout Euclidean space in relation to the space of tree metrics, which in
turn can also be described as a collection of polyhedral cones.


title:
Lorentz factor distribution of blazars from the optical Fundamental
  plane of black hole activity

abstract:
  Blazar radiation is dominated by a relativistic jet which can be modeled at
first approximation using just two intrinsic parameters - the Lorentz factor
$\Gamma$ and the viewing angle $\theta$. Blazar jet observations are often
beamed due to relativistic effects, complicating the understanding of these
intrinsic properties. The most common way to estimate blazar Lorentz factors
needs the estimation of apparent jet speeds and Doppler beaming factors. We
present a new and independent method of constructing the blazar Lorentz factor
distribution, using the optical fundamental plane of black hole activity. The
optical fundamental plane is a plane stretched out by both the supermassive
black holes and the X-ray binaries, in the 3D space provided by their [OIII]
line luminosity, radio luminosity and black hole mass. We use the intrinsic
radio luminosity obtained from the optical fundamental plane to constrain the
boosting parameters of the VLBA Imaging and Polarimetry Survey (VIPS) blazar
sample. We find a blazar bulk Lorentz factor distribution in the form of a
power law as $N(\Gamma) \propto \Gamma^{-2.1 \pm 0.4}$ for the $\Gamma$ range
of 1 to 40. We also discuss the viewing angle distribution of the blazars and
the dependence of our results on the input parameters.


title: LHCb pentaquarks in constituent quark models

abstract:
  The recently discovered $P_c(4380)^+$ and $P_c(4450)^+$ states at LHCb have
masses close to the $\bar D\Sigma_c^*$ and $\bar D^*\Sigma_c$ thresholds,
respectively, which suggest that they may have significant meson-baryon
molecular components. We analyze these states in the framework of a constituent
quark model which has been applied to a wide range of hadronic observables,
being the model parameters, therefore, completely constrained.
  The $P_c(4380)^+$ and $P_c(4450)^+$ are studied as molecular states composed
by charmed baryons and open charm mesons. Several bound states with the proper
binding energy are found in the $\bar D\Sigma_c^*$ and $\bar D^*\Sigma_c$
channels. We discuss the possible assignments of these states from their decay
widths. Moreover, two more states are predicted, associated with the $\bar
D\Sigma_c$ and $\bar D^* \Sigma_c^*$ thresholds.


title: On an inequality of different metrics for algebraic polynomials

abstract: We establish an inequality of different metrics for algebraic polynomials.


title:
Minimal quartet-metric gravity: beyond LCDM per scalar graviton as the
  unified dark matter and dark energy

abstract:
  In the framework of the minimal quartet-metric gravity/systogravity, a scalar
graviton/systolon is stated as a universal dark component, with supplementary
manifestations in the different contexts either as dark matter or dark energy.
An ensuing extension to the standard {\Lambda}CDM model is developed. A
modification of the late expansion of the Universe, with an attractor of a
scalar master equation defining an effective cosmological constant, which
supersedes the true one, is proposed. A new partial solution to the
cosmological constant problem is discussed.


title: Classification of 8-dimensional rank two commutative semifields

abstract:
  We classify the rank two commutative semifields which are 8-dimensional over
their center $\mathbb{F}_{q}$. This is done using computational methods
utilizing the connection to linear sets in $\mathrm{PG}(2,q^{4})$. We then
apply our methods to complete the classification of rank two commutative
semifields which are 10-dimensional over $\mathbb{F}_{3}$. The implications of
these results are detailed for other geometric structures such as semifield
flocks, ovoids of parabolic quadrics, and eggs.


title:
A Note on Efficiency of Downsampling and Color Transformation in Image
  Quality Assessment

abstract:
  Several existing and successful full reference image quality assessment (IQA)
models use linear color transformation and downsampling before measuring
similarity or quality of images. This paper indicates to the right order of
these two procedures and that the existing models have not chosen the more
efficient approach. In addition, efficiency of these metrics is not compared in
a fair basis in the literature.


title:
Classical analogue of the continuous transition between the
  Weisskopf-Wigner exponential decay and the Rabi oscillation

abstract:
  When a discrete state is coupled to a continuum, the dynamics can be
described either by the Weisskopf-Wigner exponential decay or by the Rabi
oscillation, depending on the relative magnitudes of the continuum width and of
the Rabi frequency. A continuous transition between these two regimes exists,
as demonstrated in 1977 by C. Cohen-Tannoudji and P. Avan. Here, we describe a
fully analogous transition in classical mechanics, by studying the dynamics of
two coupled mechanical oscillators in the presence of damping. By varying the
relative magnitudes of the damping and coupling terms, we observe a continuous
transition between a regime analogous to the Rabi oscillation and a regime
analogous to the Weisskopf-Wigner exponential decay.


title:
Closed Form Fractional Integration and Differentiation via Real
  Exponentially Spaced Pole-Zero Pairs

abstract:
  We derive closed-form expressions for the poles and zeros of approximate
fractional integrator/differentiator filters, which correspond to spectral
roll-off filters having any desired log-log slope to a controllable degree of
accuracy over any bandwidth. The filters can be described as a uniform
exponential distribution of poles along the negative-real axis of the s plane,
with zeros interleaving them. Arbitrary spectral slopes are obtained by sliding
the array of zeros relative to the array of poles, where each array maintains
periodic spacing on a log scale. The nature of the slope approximation is close
to Chebyshev optimal in the interior of the pole-zero array, approaching
conjectured Chebyshev optimality over all frequencies in the limit as the order
approaches infinity. Practical designs can arbitrarily approach the
equal-ripple approximation by enlarging the pole-zero array band beyond the
desired frequency band. The spectral roll-off slope can be robustly modulated
in real time by varying only the zeros controlled by one slope parameter.
Software implementations are provided in matlab and Faust.


title:
Certain identities on derivatives of radial homogeneous and logarithmic
  functions

abstract:
  Let $k$ be a natural number and $s$ be real. In the 1-dimensional case, the
$k$-th order derivatives of the functions $\lvert x\rvert^s$ and $\log \lvert
x\rvert$ are multiples of $\lvert x\rvert^{s-k}$ and $\lvert x\rvert^{-k}$,
respectively. In the present paper, we generalize this fact to higher
dimensions by introducing a suitable norm of the derivatives, and give the
exact values of the multiples.


title: Invariance in Quantum Walks

abstract:
  In this Chapter, we present some interesting properties of quantum walks on
the line. We concentrate our attention in the emergence of invariance and
provide some insights into the ultimate origin of the observed behavior. In the
first part of the Chapter, we review the building blocks of the
quantum-mechanical version of the standard random walk in one dimension. The
most distinctive difference between random and quantum walks is the replacement
of the random coin in the former by the action of a unitary operator upon some
internal property of the later. We provide explicit expressions for the
solution to the problem when the most general form for the homogeneous unitary
operator is considered, and we analyze several key features of the system as
the presence of symmetries or stationary limits. After that, we analyze the
consequences of letting the properties of the coin operator change from site to
site, and from time step to time step. In spite of this lack of homogeneity,
the probabilistic properties of the motion of the walker can remain unaltered
if the coin variability is chosen adequately. Finally, we show how this
invariance can be connected to the gauge freedom of electromagnetism.