title: Matrix product states for $su(2)$ invariant quantum spin chains

abstract:
  A systematic and compact treatment of arbitrary $su(2)$ invariant spin-$s$
quantum chains with nearest-neighbour interactions is presented. The
ground-state is derived in terms of matrix product states (MPS). The
fundamental MPS calculations consist of taking products of basic tensors of
rank 3 and contractions thereof. The algebraic $su(2)$ calculations are carried
out completely by making use of Wigner calculus. As an example of application,
the spin-1 bilinear-biquadratic quantum chain is investigated. Various physical
quantities are calculated with high numerical accuracy of up to 7 digits. We
obtain explicit results for the ground-state energy, entanglement entropy,
singlet operator correlations and the string order parameter. We find
interesting crossover phenomena in the correlation lengths.


title: On the ultimate precision of meson mixing observables

abstract:
  Meson mixing is considered to be an ideal candidate for new physics searches.
Current experimental precision has greatly increased over the recent years,
excelling in several cases the theoretical precision. A possible limit in the
theoretical accuracy could be a hypothetical breakdown of quark-hadron duality.
We propose a simple model for duality violations and give stringent bounds on
such effects for mixing observables, indicating regions, where future
measurements of $\Delta \Gamma_d$, $a_{sl}^d$ and $a_{sl}^s$ would be clear
signals of new physics. Finally, we turn our attention to the charm sector, and
reveal that already a modest duality violation of about $20 \%$ could explain
the huge difference between HQE predictions for D-mixing and experimental data.


title:
Neural Text Generation from Structured Data with Application to the
  Biography Domain

abstract:
  This paper introduces a neural model for concept-to-text generation that
scales to large, rich domains. We experiment with a new dataset of biographies
from Wikipedia that is an order of magnitude larger than existing resources
with over 700k samples. The dataset is also vastly more diverse with a 400k
vocabulary, compared to a few hundred words for Weathergov or Robocup. Our
model builds upon recent work on conditional neural language model for text
generation. To deal with the large vocabulary, we extend these models to mix a
fixed vocabulary with copy actions that transfer sample-specific words from the
input database to the generated output sentence. Our neural model significantly
out-performs a classical Kneser-Ney language model adapted to this task by
nearly 15 BLEU.


title:
Co-occurrence Feature Learning for Skeleton based Action Recognition
  using Regularized Deep LSTM Networks

abstract:
  Skeleton based action recognition distinguishes human actions using the
trajectories of skeleton joints, which provide a very good representation for
describing actions. Considering that recurrent neural networks (RNNs) with Long
Short-Term Memory (LSTM) can learn feature representations and model long-term
temporal dependencies automatically, we propose an end-to-end fully connected
deep LSTM network for skeleton based action recognition. Inspired by the
observation that the co-occurrences of the joints intrinsically characterize
human actions, we take the skeleton as the input at each time slot and
introduce a novel regularization scheme to learn the co-occurrence features of
skeleton joints. To train the deep LSTM network effectively, we propose a new
dropout algorithm which simultaneously operates on the gates, cells, and output
responses of the LSTM neurons. Experimental results on three human action
recognition datasets consistently demonstrate the effectiveness of the proposed
model.


title: VLBA Survey of OH Masers in Star-Forming Regions II: Satellite Lines

abstract:
  Using the Very Long Baseline Array (VLBA) we performed a high resolution OH
maser survey in Galactic star-forming regions (SFRs). We observed all the
ground state spectral lines: the main lines at 1665 and 1667 MHz and the
satellite lines at 1612 and 1720 MHz. Due to the exceptionality of finding
satellite lines in SFRs, we will focus our discussion on those lines. In our
sample of 41 OH maser sources, five (12%) showed the 1612 MHz line and ten
(24%) showed the 1720 MHz line, with only one source showing both lines. We
find that 1720 MHz emission is correlated with the presence of HII regions,
suggesting that this emission could be used to diagnose or trace high-mass star
formation. We include an analysis of the possible mechanisms that could be
causing this correlation as well as assessing the possible relationships
between lines in our sample. In particular, the presence of magnetic fields
seems to play an important role, as we found Zeeman splitting in four of our
sources (W75 N, W3(OH), W51 and NGC 7538). Our results have implications for
current understanding of the formation of high-mass stars as well as on the
masing processes present in SFRs.


title:
Ultrasensitive hysteretic force sensing with parametric nonlinear
  oscillators

abstract:
  We propose a novel method for linear detection of weak forces using
parametrically driven nonlinear resonators. The method is based on a peculiar
feature in the response of the resonator to a near resonant periodic external
force. This feature stems from a complex interplay between the parametric
drive, external force and nonlinearities. For weak parametric drive, the
response exhibits the standard Duffing-like single jump hysteresis. For
stronger drive amplitudes, we find a qualitatively new double jump hysteresis
which arises from stable solutions generated by the cubic Duffing nonlinearity.
The additional jump exists only if the external force is present and the
frequency at which it occurs depends linearly on the amplitude of the external
force, permitting a straightforward ultrasensitive detection of weak forces.
With state-of-the-art nanomechanical resonators, our scheme should permit force
detection in the atto-newton range.


title:
The Impact of Operators' Performance in the Reliability of
  Cyber-Physical Power Distribution Systems

abstract:
  Cyber-Physical Systems are the result of integrating information and
communication technologies into physical systems. One particular case are
Cyber-Physical Power Systems (CPPS), which use communication technologies to
perform real-time monitoring and operation. These kinds of systems have become
more complex, impacting on the systems' characteristics, such as their
reliability. In addition, it is already known that in terms of the reliability
of Cyber-Physical Power Distribution Systems (CPPDS), the failures of the
communication network are just as relevant as the electrical network failures.
However, some of the operators' performances, such as response time and
decision quality, during CPPDS contingencies have not been investigated yet. In
this paper, we introduce a model to the operator response time, present a
Sequential Monte Carlo Simulation methodology that incorporates the response
time in CPPDS reliability indices estimation, and evaluate the impact of the
operator response time in reliability indices. Our method is tested on a CPPDS
using different values for the average response time of operators. The results
show that the response time of the operators affects the reliability indices
that are related to the durations of the failure, indicating that a fast
decision directly contributes to the system performance. We conclude that the
improvement of CPPDS reliability is not only dependent on the electric and
communication components, but also dependent on operators' performance.


title: The FE-I4 Telescope for particle tracking in testbeam experiments

abstract:
  A testbeam telescope, based on ATLAS IBL silicon pixel modules, has been
built. It comprises six planes of planar silicon sensors with 250 x 50 um^2
pitch, read out by ATLAS FE-I4 chips. In the CERN SPS H8 beamline (180 GeV pi+)
a resolution of better than 8 x 12 um^2 at the position of the device under
test was achieved. The telescope reached a trigger rate of 6kHz with two
measured devices. It is mainly designed for studies using FE-I4 based
prototypes, but has also been successfully run with independent DAQ systems.
Specialised trigger schemes ensure data synchronisation between these external
devices and the telescope. A region-of-interest trigger can be formed by
setting masks on the first and the last pixel sensor planes. The setup
infrastructure provides centrally controlled and monitored high and low voltage
power supplies, silicon oil cooling, temperature and humidity sensors and
movable stages.


title:
Defect states in LiFeAs as seen by low temperature scanning tunneling
  microscopy and spectroscopy

abstract:
  We present a microscopic investigation of frequently observed
impurity-induced states in stoichiometric LiFeAs using low temperature scanning
tunneling microscopy and spectroscopy (STM/STS). Our data reveal seven distinct
well defined defects which are discernible in topographic measurements.
Depending on their local topographic symmetry, we are able to assign five
defect types to specific lattice sites at the Li, Fe and As positions. The most
prominent result is that two different defect types have a remarkably different
impact on the superconducting state. A specific and quite abundant Fe-defect
with $D_2$-symmetry generates significant impurity-induced additional states
primarily at positive bias voltage with pronounced peaks in the on-site local
density of states (LDOS) at about 4~mV and 12~mV. On the other hand, a
$D_4$-symmetric As-defect causes a significantly enhanced LDOS at both positive
and negative bias voltages. We expect that these findings provide fresh input
for further experimental and theoretical studies on elucidating the nature of
superconductivity in LiFeAs.


title: Energetic cost of superadiabatic quantum computation

abstract:
  We discuss the energetic cost of superadiabatic models of quantum
computation. Specifically, we investigate the energy-time complementarity in
general transitionless controlled evolutions and in shortcuts to the adiabatic
quantum search over an unstructured list. We show that the additional energy
resources required by superadiabaticity for arbitrary controlled evolutions can
be minimized by using probabilistic dynamics, so that the optimal success
probability is fixed by the choice of the evolution time. In the case of analog
quantum search, we show that the superadiabatic approach induces a non-oracular
counter-diabatic Hamiltonian, with the same energy-time complexity as
equivalent adiabatic implementations.


title: Nonnegative Rank vs. Binary Rank

abstract:
  Motivated by (and using tools from) communication complexity, we investigate
the relationship between the following two ranks of a $0$-$1$ matrix: its
nonnegative rank and its binary rank (the $\log$ of the latter being the
unambiguous nondeterministic communication complexity). We prove that for
partial $0$-$1$ matrices, there can be an exponential separation. For total
$0$-$1$ matrices, we show that if the nonnegative rank is at most $3$ then the
two ranks are equal, and we show a separation by exhibiting a matrix with
nonnegative rank $4$ and binary rank $5$, as well as a family of matrices for
which the binary rank is $4/3$ times the nonnegative rank.


title:
Representations by octonary quadratic forms with coefficients $1$, $2$,
  $3$ or $6$

abstract:
  Using modular forms we determine formulas for the number of representations
of a positive integer by diagonal octonary quadratic forms with coefficients
$1$, $2$, $3$ or $6$.


title:
On first and second eigenvalues of Riesz transforms in spherical and
  hyperbolic geometries

abstract:
  In this note we prove an analogue of the Rayleigh-Faber-Krahn inequality,
that is, that the geodesic ball is a maximiser of the first eigenvalue of some
convolution type integral operators, on the sphere $\mathbb{S}^{n}$ and on the
real hyperbolic space $\mathbb{H}^{n}$. It completes the study of such question
for complete, connected, simply connected Riemannian manifolds of constant
sectional curvature. We also discuss an extremum problem for the second
eigenvalue on $\mathbb{H}^{n}$ and prove the Hong-Krahn-Szeg\"{o} type
inequality. The main examples of the considered convolution type operators are
the Riesz transforms with respect to the geodesic distance of the space.


title: Regular Charged Black Holes, Quasilocal Energy and Energy Conditions

abstract:
  We revisit the relationship of inequality between the gravitational field
energy and the Komar charge, both quantities evaluated at the event horizon,
for static and spherically symmetric regular black hole solutions obtained with
nonlinear electrodynamics. We found a way to characterize these regular black
hole solutions by the energy conditions that they satisfy. In particular, we
show the relation between the direction of the inequality and the energy
condition that satisfy the regular black hole solutions.


title:
A Convex Approach for Stability Analysis of Coupled PDEs with Spatially
  Dependent Coefficients

abstract:
  In this paper, we present a methodology for stability analysis of a general
class of systems defined by coupled Partial Differential Equations (PDEs) with
spatially dependent coefficients and a general class of boundary conditions.
This class includes PDEs of the parabolic, elliptic and hyperbolic type as well
as coupled systems without boundary feedback. Our approach uses positive
matrices to parameterize a new class of SOS Lyapunov functionals and combines
these with a parametrization of projection operators which allow us to enforce
positivity and negativity on subspaces of L_2. The result allows us to express
Lyapunov stability conditions as a set of Linear Matrix Inequality (LMI)
constraints which can be constructed using SOSTOOLS and tested using
Semi-Definite Programming (SDP) solvers such as SeDuMi or Mosek. The
methodology is tested using several simple numerical examples and compared with
results obtained from simulation using a standard form of numerical
discretization.


title:
Quantum capacitance of an HgTe quantum well as an indicator of the
  topological phase

abstract:
  Varying the quantum-well width in an HgTe/CdTe heterostructure allows to
realize normal and inverted semiconducting band structures, making it a
prototypical system to study two-dimensional (2D) topological-insulator
behavior. We have calculated the zero-temperature thermodynamic density of
states $D_\mathrm{T}$ for the electron-doped situation in both regimes,
treating interactions within the Hartree-Fock approximation. A distinctively
different behavior for the density dependence of $D_\mathrm{T}$ is revealed in
the inverted and normal cases, making it possible to detect the system's
topological order through measurement of macroscopic observables such as the
quantum capacitance or electronic compressibility. Our results establish the 2D
electron system in HgTe quantum wells as unique in terms of its collective
electronic properties.


title:
BFKL Azimuthal Imprints in Inclusive Three-jet Production at 7 and 13
  TeV

abstract:
  We propose the study of new observables in LHC inclusive events with three
tagged jets, one in the forward direction, one in the backward direction and
both well-separated in rapidity from the each other (Mueller-Navelet jets),
together with a third jet tagged in central regions of rapidity. Since
non-tagged associated mini-jet multiplicity is allowed, we argue that
projecting the cross sections on azimuthal-angle components can provide several
distinct tests of the BFKL dynamics. Realistic LHC kinematical cuts are
introduced.


title: Extension Complexity of Formal Languages

abstract:
  In this article we undertake a study of extension complexity from the
perspective of formal languages. We define a natural way to associate a family
of polytopes with binary languages. This allows us to define the notion of
extension complexity of formal languages. We prove several closure properties
of languages admitting compact extended formulations. Furthermore, we give a
sufficient machine characterization of compact languages. We demonstrate the
utility of this machine characterization by obtaining upper bounds for
polytopes for problems in nondeterministic logspace; lower bounds in streaming
models; and upper bounds on extension complexities of several polytopes.


title:
Limit formulas for the normalized fundamental matrix of the
  northwest-corner truncation of Markov chains: Matrix-infinite-product-form
  solutions of block-Hessenberg Markov chains

abstract:
  This paper considers the normalized fundamental matrix for the
northwest-corner (NW-corner) truncation of ergodic continuous-time Markov
chains, technically, of their infinitesimal generators. We first present a
limit formula for the normalized fundamental matrix of the NW-corner truncation
of the ergodic (infinitesimal) generator. The limit formula shows that, as the
order (size) of the NW-corner truncation diverges to infinity, the
corresponding normalized fundamental matrix converges to a stochastic matrix
whose rows are all equal to the stationary distribution vector of the ergodic
generator. Using the limit formula, we also derive the matrix-infinite-product
form (MIP-form) solutions of the stationary distribution vectors of upper and
lower block-Hessenberg Markov chains. In addition, from the MIP-form solutions,
we develop numerically stable and easily implementable algorithms that generate
the sequences of probability vectors convergent to the corresponding stationary
distribution vectors of block-Hessenberg Markov chains.


title: Infinitely many solutions to the Yamabe problem on noncompact manifolds

abstract:
  We establish the existence of infinitely many complete metrics with constant
scalar curvature on prescribed conformal classes on certain noncompact product
manifolds. These include products of closed manifolds with constant positive
scalar curvature and simply-connected symmetric spaces of noncompact or
Euclidean type; in particular, $\mathbb S^m \times\mathbb R^d$, $m\geq2$,
$d\geq1$, and $\mathbb S^m\times\mathbb H^d$, $2\leq d<m$. As a consequence, we
obtain infinitely many periodic solutions to the singular Yamabe problem on
$\mathbb S^m\setminus\mathbb S^k$, for all $0\leq k<(m-2)/2$, the maximal range
where nonuniqueness is possible. We also show that all Bieberbach groups in
$Iso(\mathbb R^d)$ are periods of bifurcating branches of solutions to the
Yamabe problem on $\mathbb S^m\times\mathbb R^d$, $m\geq2$, $d\geq1$.


title:
Exact Controllability of Linear Stochastic Differential Equations and
  Related Problems

abstract:
  A notion of $L^p$-exact controllability is introduced for linear controlled
(forward) stochastic differential equations, for which several sufficient
conditions are established. Further, it is proved that the $L^p$-exact
controllability, the validity of an observability inequality for the adjoint
equation, the solvability of an optimization problem, and the solvability of an
$L^p$-type norm optimal control problem are all equivalent.


title: Weighted Pushdown Systems with Indexed Weight Domains

abstract:
  The reachability analysis of weighted pushdown systems is a very powerful
technique in verification and analysis of recursive programs. Each transition
rule of a weighted pushdown system is associated with an element of a bounded
semiring representing the weight of the rule. However, we have realized that
the restriction of the boundedness is too strict and the formulation of
weighted pushdown systems is not general enough for some applications. To
generalize weighted pushdown systems, we first introduce the notion of stack
signatures that summarize the effect of a computation of a pushdown system and
formulate pushdown systems as automata over the monoid of stack signatures. We
then generalize weighted pushdown systems by introducing semirings indexed by
the monoid and weaken the boundedness to local boundedness.


title:
Tunnel magnetoresistance and temperature related effects in magnetic
  tunnel junctions with embedded nanoparticles

abstract:
  Temperature dependence of the tunnel magnetoresistance (TMR) was calculated
in range of the quantum-ballistic model in the magnetic tunnel junctions (MTJs)
with embedded nanoparticles (NPs). The electron tunnel transport through NP was
simulated in range of double barrier approach, which was integrated into the
model of the magnetic point-like contact. The resonant TMR conditions and
temperature impact were explored in detail. Moreover, the possible reasons of
the temperature induced resonant conditions were discussed in the range of the
lead-tunneling cell-lead model near Kondo temperature. We also found that
redistribution of the voltage drop becomes crucial in this model. Furthermore,
the direct tunneling plays the dominant role and cannot be omitted in the
quantum systems with the total tunneling thickness up to 5-6 nm. Hence, Coulomb
blockade model cannot explain Kondo-induced TMR anomalies in nanometer-sized
tunnel junctions.


title:
Some trace Hardy type inequalities and trace Hardy-Sobolev-Maz'ya type
  inequalities

abstract:
  We prove a trace Hardy type inequality with the best constant on the
polyhedral convex cones which generalizes recent results of Alvino et al. and
of Tzirakis on the upper half space. We also prove some trace
Hardy-Sobolev-Maz'ya type inequalities which generalize the recent results of
Filippas et al.. In applications, we derive some Hardy type inequalities and
Hardy-Sobolev-Maz'ya type inequalities for fractional Laplacian. Finally, we
prove the logarithmic Sobolev trace inequalities and logarithmic Hardy trace
inequalities on the upper half spaces. The best constants in these inequalities
are explicitly computed in the radial case.


title:
Closed strong spacelike curves, Fenchel theorem and Plateau problem in
  the 3-dimensional Minkowski space

abstract:
  We generalize the Fenchel theorem for strong spacelike closed curves of index
$1$ in the 3-dimensional Minkowski space, showing that the total curvature must
be less than or equal to $2\pi$. Here strong spacelike means that the tangent
vector and the curvature vector span a spacelike 2-plane at each point of the
curve $\gamma$ under consideration. The assumption of index 1 is equivalent to
saying that $\gamma$ winds around some timelike axis with winding number 1. We
prove this reversed Fenchel-type inequality by constructing a ruled spacelike
surface with the given curve as boundary and applying the Gauss-Bonnet formula.
As a by-product, this shows the existence of a maximal surface with $\gamma$ as
boundary.


title:
Brillouin-zone integration scheme for many-body density of states:
  Tetrahedron method combined with cluster perturbation theory

abstract:
  By combining the tetrahedron method with the cluster perturbation theory
(CPT), we present an accurate method to numerically calculate the density of
states of interacting fermions without introducing the Lorentzian broadening
parameter $\eta$ or the numerical extrapolation of $\eta \to 0$. The method is
conceptually based on the notion of the effective single-particle Hamiltonian
which can be subtracted in the Lehmann representation of the single-particle
Green's function within the CPT. Indeed, we show the general correspondence
between the self-energy and the effective single-particle Hamiltonian which
describes exactly the single-particle excitation energies of interacting
fermions. The detailed formalism is provided for two-dimensional multi-orbital
systems and a benchmark calculation is performed for the two-dimensional
single-band Hubbard model. The method can be adapted straightforwardly to
symmetry broken states, three-dimensional systems, and finite-temperature
calculations.


title: Hommage a Nambu

abstract:
  Reminiscences of my intellectual and personal interactions with Professor
Nambu, and discussion of his contributions to string theory. Switching to my
own research, by expressing the string coordinates as bispinors, I suggest a
kinematical framework for the interacting (2,0) theory on the light-cone by
using chiral constrained "Viking" superfields.


title: Approximate Personalized PageRank on Dynamic Graphs

abstract:
  We propose and analyze two algorithms for maintaining approximate
Personalized PageRank (PPR) vectors on a dynamic graph, where edges are added
or deleted. Our algorithms are natural dynamic versions of two known local
variations of power iteration. One, Forward Push, propagates probability mass
forwards along edges from a source node, while the other, Reverse Push,
propagates local changes backwards along edges from a target. In both
variations, we maintain an invariant between two vectors, and when an edge is
updated, our algorithm first modifies the vectors to restore the invariant,
then performs any needed local push operations to restore accuracy.
  For Reverse Push, we prove that for an arbitrary directed graph in a random
edge model, or for an arbitrary undirected graph, given a uniformly random
target node $t$, the cost to maintain a PPR vector to $t$ of additive error
$\varepsilon$ as $k$ edges are updated is $O(k + \bar{d} / \varepsilon)$, where
$\bar{d}$ is the average degree of the graph. This is $O(1)$ work per update,
plus the cost of computing a reverse vector once on a static graph. For Forward
Push, we show that on an arbitrary undirected graph, given a uniformly random
start node $s$, the cost to maintain a PPR vector from $s$ of degree-normalized
error $\varepsilon$ as $k$ edges are updated is $O(k + 1 / \varepsilon)$, which
is again $O(1)$ per update plus the cost of computing a PPR vector once on a
static graph.


title:
Quadratic Projection Based Feature Extraction with Its Application to
  Biometric Recognition

abstract:
  This paper presents a novel quadratic projection based feature extraction
framework, where a set of quadratic matrices is learned to distinguish each
class from all other classes. We formulate quadratic matrix learning (QML) as a
standard semidefinite programming (SDP) problem. However, the con- ventional
interior-point SDP solvers do not scale well to the problem of QML for
high-dimensional data. To solve the scalability of QML, we develop an efficient
algorithm, termed DualQML, based on the Lagrange duality theory, to extract
nonlinear features. To evaluate the feasibility and effectiveness of the
proposed framework, we conduct extensive experiments on biometric recognition.
Experimental results on three representative biometric recogni- tion tasks,
including face, palmprint, and ear recognition, demonstrate the superiority of
the DualQML-based feature extraction algorithm compared to the current
state-of-the-art algorithms


title:
Results of the 2015 testbeam of a 180 nm AMS High-Voltage CMOS sensor
  prototype

abstract:
  Active pixel sensors based on the High-Voltage CMOS technology are being
investigated as a viable option for the future pixel tracker of the ATLAS
experiment at the High-Luminosity LHC. This paper reports on the testbeam
measurements performed at the H8 beamline of the CERN Super Proton Synchrotron
on a High-Voltage CMOS sensor prototype produced in 180 nm AMS technology.
Results in terms of tracking efficiency and timing performance, for different
threshold and bias conditions, are shown.


title:
Nonlinear differential equations arising from Boole numbers and their
  applications

abstract:
  In this paper, we study nonlinear differential equations satisfied by the
generating function of Boole numbers. In addition, we derive some explicit and
new interesting identities involving Boole numbers and higher-order numbers
arising from our nonlinear differential equations.


title:
An Effective Unconstrained Correlation Filter and Its Kernelization for
  Face Recognition

abstract:
  In this paper, an effective unconstrained correlation filter called Uncon-
strained Optimal Origin Tradeoff Filter (UOOTF) is presented and applied to
robust face recognition. Compared with the conventional correlation filters in
Class-dependence Feature Analysis (CFA), UOOTF improves the overall performance
for unseen patterns by removing the hard constraints on the origin correlation
outputs during the filter design. To handle non-linearly separable
distributions between different classes, we further develop a non- linear
extension of UOOTF based on the kernel technique. The kernel ex- tension of
UOOTF allows for higher flexibility of the decision boundary due to a wider
range of non-linearity properties. Experimental results demon- strate the
effectiveness of the proposed unconstrained correlation filter and its
kernelization in the task of face recognition.


title: Gas and stellar spiral structures in tidally perturbed disc galaxies

abstract:
  Tidal interactions between disc galaxies and low mass companions are an
established method for generating galactic spiral features. In this work we
present a study of the structure and dynamics of spiral arms driven in
interactions between disc galaxies and perturbing companions in 3-D
N-body/smoothed hydrodynamical numerical simulations. Our specific aims are to
characterize any differences between structures formed in the gas and stars
from a purely hydrodynamical and gravitational perspective, and to find a
limiting case for spiral structure generation. Through analysis of a number of
different interacting cases, we find that there is very little difference
between arm morphology, pitch angles and pattern speeds between the two media.
The main differences are a minor offset between gas and stellar arms, clear
spurring features in gaseous arms, and different radial migration of material
in the stronger interacting cases. We investigate the minimum mass of a
companion required to drive spiral structure in a galactic disc, finding the
limiting spiral generation cases with companion masses of the order
$1\times10^9M_\odot$, equivalent to only 4% of the stellar disc mass, or 0.5%
of the total galactic mass of a Milky Way analogue.


title:
Strangeness $S=-1$ hyperon-nucleon scattering in covariant chiral
  effective field theory

abstract:
  Motivated by the successes of covariant baryon chiral perturbation theory in
one-baryon systems and in heavy-light systems, we study relevance of
relativistic effects in hyperon-nucleon interactions with strangeness $S=-1$.
In this exploratory work, we follow the covariant framework developed by
Epelbaum and Gegelia to calculate the $YN$ scattering amplitude at leading
order. By fitting the five low-energy constants to the experimental data, we
find that the cutoff dependence is mitigated, compared with the heavy-baryon
approach. Nevertheless, the description of the experimental data remains
quantitatively similar at leading order.


title: Topological states and quantized current in helical molecules

abstract:
  We report a theoretical study of electron transport along helical molecules
under an external electric field, which is perpendicular to the helix axis of
the molecule. Our results reveal that the topological states could appear in
single-helical molecule and double-stranded DNA in the presence of the
perpendicular electric field. And these topological states guarantee adiabatic
charge pumping across the helical molecules by rotating the electric field in
the transverse plane and the pumped current at zero bias voltage is quantized.
In addition, the quantized current constitutes multiple plateaus by scanning
the Fermi energy as well as the bias voltage, and hold for various model
parameters, since they are topologically protected against perturbations. These
results could motivate further experimental and theoretical studies in the
electron transport through helical molecules, and pave the way to detect
topological states and quantized current in the biological systems.


title: Temperature-dependent permittivity of annealed and unannealed gold films

abstract:
  Due to local field enhancement and subwavelength confinements,
nano-plasmonics provide numerous novel applications. Simultaneously, as an
efficient nanoscale heat generator from inherent absorption, thermo-plasmonics
is emerging as an important branch. However, although significant temperature
increase is involved in applications, detailed characterization of metal
permittivity at different temperatures and corresponding thermo-derivative are
lacking. In this work, we extract the permittivity of gold from 300K to the
annealing temperature of 570K. By comparing annealed and unannealed films, more
than one-order difference in thermo-derivative of permittivity is revealed,
resulting in unexpectedly large variation of plasmonic properties. Our result
is valuable not only for characterizing extensively used unannealed
nanoparticles, but also for designing future thermo-nano-plasmonic systems.


title:
Topological Order and Memory Time in Marginally Self-Correcting Quantum
  Memory

abstract:
  We examine two proposals for marginally self-correcting quantum memory, the
cubic code by Haah and the welded code by Michnicki. In particular, we prove
explicitly that they are absent of topological order above zero temperature, as
their Gibbs ensembles can be prepared via a short-depth quantum circuit from
classical ensembles. Our proof technique naturally gives rise to the notion of
free energy associated with excitations. Further, we develop a framework for an
ergodic decomposition of Davies generators in CSS codes which enables formal
reduction to simpler classical memory problems. We then show that memory time
in the welded code is doubly exponential in inverse temperature via the Peierls
argument. These results introduce further connections between thermal
topological order and self-correction from the viewpoint of free energy and
quantum circuit depth.


title: Notes on oriented percolation

abstract:
  These notes fill in results about oriented percolation that are required for
the paper [3] ("Forward clusters for degenerate random environments"). Since
these are essentially modifications of results found in other sources (but
adapted to the model we particularly need), there is no intention to publish
these.


title: Mode-Seeking on Hypergraphs for Robust Geometric Model Fitting

abstract:
  In this paper, we propose a novel geometric model fitting method, called
Mode-Seeking on Hypergraphs (MSH),to deal with multi-structure data even in the
presence of severe outliers. The proposed method formulates geometric model
fitting as a mode seeking problem on a hypergraph in which vertices represent
model hypotheses and hyperedges denote data points. MSH intuitively detects
model instances by a simple and effective mode seeking algorithm. In addition
to the mode seeking algorithm, MSH includes a similarity measure between
vertices on the hypergraph and a weight-aware sampling technique. The proposed
method not only alleviates sensitivity to the data distribution, but also is
scalable to large scale problems. Experimental results further demonstrate that
the proposed method has significant superiority over the state-of-the-art
fitting methods on both synthetic data and real images.


title:
Nearby supernova host galaxies from the CALIFA Survey: II. SN
  environmental metallicity

abstract:
  The metallicity of a supernova (SN) progenitor, together with its mass, is
one of the main parameters that rules their outcome. We present a metallicity
study of 115 nearby SN host galaxies (0.005<z<0.03) which hosted 142 SNe using
Integral Field Spectroscopy (IFS) from the CALIFA survey. Using O3N2 we found
no statistically significant differences between the gas-phase metallicities at
the locations of the three main SN types (Ia, Ib/c and II) all having
~8.50$\pm$0.02 dex. The total galaxy metallicities are also very similar and we
argue that this is because our sample consists only of SNe discovered in
massive galaxies (log(M/Msun)>10 dex) by targeted searches. We also found no
evidence that the metallicity at the SN location differs from the average
metallicity at the GCD of the SNe. By extending our SN sample with published
metallicities at the SN location, we studied the metallicity distributions for
all SN subtypes split into SN discovered in targeted and untargeted searches.
We confirm a bias toward higher host masses and metallicities in the targeted
searches. Combining data from targeted and untargeted searches we found a
sequence from higher to lower local metallicity: SN Ia, Ic, and II show the
highest metallicity, which is significantly higher than SN Ib, IIb, and Ic-BL.
Our results support the picture of SN Ib resulting from binary progenitors and,
at least part of, SN Ic being the result of single massive stars stripped of
their outer layers by metallicity driven winds. We studied several proxies of
the local metallicity frequently used in the literature and found that the
total host metallicity allows for the estimation of the metallicity at the SN
location with an accuracy better than 0.08 dex and very small bias. In
addition, weak AGNs not seen in total spectra may only weakly bias (by 0.04
dex) the metallicity estimate from integrated spectra. (abridged)


title: Upper bounds on the size of covering arrays

abstract:
  Covering arrays find important application in software and hardware
interaction testing. For practical applications it is useful to determine or
bound the minimum number of rows, CAN$(t,k,v)$, in a covering array for given
values of the parameters $t,k$ and $v$. Asymptotic upper bounds for
CAN$(t,k,v)$ have earlier been established using the Stein-Lov\'asz-Johnson
strategy and the Lov\'asz local lemma. A series of improvements on these bounds
is developed in this paper. First an estimate for the discrete
Stein-Lov\'asz-Johnson bound is derived. Then using alteration, the
Stein-Lov\'asz-Johnson bound is improved upon, leading to a two-stage
construction algorithm. Bounds from the Lov\'asz local lemma are improved upon
in a different manner, by examining group actions on the set of symbols. Two
asymptotic upper bounds on CAN$(t,k,v)$ are established that are tighter than
the known bounds. A two-stage bound is derived that employs the Lov\'asz local
lemma and the conditional Lov\'asz local lemma distribution.


title: Conditional Similarity Networks

abstract:
  What makes images similar? To measure the similarity between images, they are
typically embedded in a feature-vector space, in which their distance preserve
the relative dissimilarity. However, when learning such similarity embeddings
the simplifying assumption is commonly made that images are only compared to
one unique measure of similarity. A main reason for this is that contradicting
notions of similarities cannot be captured in a single space. To address this
shortcoming, we propose Conditional Similarity Networks (CSNs) that learn
embeddings differentiated into semantically distinct subspaces that capture the
different notions of similarities. CSNs jointly learn a disentangled embedding
where features for different similarities are encoded in separate dimensions as
well as masks that select and reweight relevant dimensions to induce a subspace
that encodes a specific similarity notion. We show that our approach learns
interpretable image representations with visually relevant semantic subspaces.
Further, when evaluating on triplet questions from multiple similarity notions
our model even outperforms the accuracy obtained by training individual
specialized networks for each notion separately.


title: The reductivity of spherical curves Part II: 4-gons

abstract:
  The reductivity of a spherical curve represents how reduced the spherical
curve is. It is unknown if there exists a spherical curve whose reductivity is
four. In this paper we give an unavoidable set for spherical curves with
reductivity four by considering 4-gons.


title:
On a generalized uniform zero-two law for positive contractions of
  non-commutative $L_1$-spaces and its vector-valued extension

abstract:
  First, Ornstein and Sucheston proved that for a given positive contraction
$T:L_1\to L_1$ there exists $m\in N$ such that $\big\|T^{m+1}-T^m\|<2$ then $$
\lim_{n\to\infty}\|T^{n+1}-T^n\|=0. $$ Such a result was labeled as "zero-two"
law. In the present paper, we prove a generalized uniform "zero-two" law for
multi-parametric family of positive contractions of the non-commutative
$L_1$-spaces. Moreover, we also establish a vector-valued analogous of the
uniform "zero-two" law for positive contractions of $L_1(M,\Phi)$-- the
non-commutative $L_1$-spaces associated with center valued trace.


title:
Chatty Maps: Constructing sound maps of urban areas from social media
  data

abstract:
  Urban sound has a huge influence over how we perceive places. Yet, city
planning is concerned mainly with noise, simply because annoying sounds come to
the attention of city officials in the form of complaints, while general urban
sounds do not come to the attention as they cannot be easily captured at city
scale. To capture both unpleasant and pleasant sounds, we applied a new
methodology that relies on tagging information of geo-referenced pictures to
the cities of London and Barcelona. To begin with, we compiled the first urban
sound dictionary and compared it to the one produced by collating insights from
the literature: ours was experimentally more valid (if correlated with official
noise pollution levels) and offered a wider geographic coverage. From picture
tags, we then studied the relationship between soundscapes and emotions. We
learned that streets with music sounds were associated with strong emotions of
joy or sadness, while those with human sounds were associated with joy or
surprise. Finally, we studied the relationship between soundscapes and people's
perceptions and, in so doing, we were able to map which areas are chaotic,
monotonous, calm, and exciting.Those insights promise to inform the creation of
restorative experiences in our increasingly urbanized world.


title: Arbitrarily slow, non-quasistatic, isothermal transformations

abstract:
  For an overdamped colloidal particle diffusing in a fluid in a controllable,
virtual potential, we show that arbitrarily slow transformations, produced by
smooth deformations of a double-well potential, need not be reversible. The
arbitrarily slow transformations do need to be fast compared to the barrier
crossing time, but that time can be extremely long. We consider two types of
cyclic, isothermal transformations of a double-well potential. Both start and
end in the same equilibrium state, and both use the same basic operations---but
in different order. By measuring the work for finite cycle times and
extrapolating to infinite times, we found that one transformation required no
work, while the other required a finite amount of work, no matter how slowly it
was carried out. The difference traces back to the observation that when time
is reversed, the two protocols have different outcomes, when carried out
arbitrarily slowly. A recently derived formula relating work production to the
relative entropy of forward and backward path probabilities predicts the
observed work average.


title:
Concatenation theorems for anti-Gowers-uniform functions and Host-Kra
  characteristic factors

abstract:
  We establish a number of "concatenation theorems" that assert, roughly
speaking, that if a function exhibits "polynomial" (or "Gowers anti-uniform",
"uniformly almost periodic", or "nilsequence") behaviour in two different
directions separately, then it also exhibits the same behavior (but at higher
degree) in both directions jointly. Among other things, this allows one to
control averaged local Gowers uniformity norms by global Gowers uniformity
norms. In a sequel to this paper, we will apply such control to obtain
asymptotics for "polynomial progressions" $n+P_1(r),\dots,n+P_k(r)$ in various
sets of integers, such as the prime numbers.


title:
Probabilistic Record Linkage and Deduplication after Indexing, Blocking,
  and Filtering

abstract:
  Probabilistic record linkage, the task of merging two or more databases in
the absence of a unique identifier, is a perennial and challenging problem. It
is closely related to the problem of deduplicating a single database, which can
be cast as linking a single database against itself. In both cases the number
of possible links grows rapidly in the size of the databases under
consideration, and in most applications it is necessary to first reduce the
number of record pairs that will be compared.
  Spurred by practical considerations, a range of methods have been developed
for this task. These methods go under a variety of names, including indexing
and blocking, and have seen significant development. However, methods for
inferring linkage structure that account for indexing, blocking, and additional
filtering steps have not seen commensurate development. In this paper we review
the implications of indexing, blocking and filtering within the popular
Fellegi-Sunter framework, and propose a new model to account for particular
forms of indexing and filtering.


title: Polynomial patterns in the primes

abstract:
  Let $P_1,\dots,P_k \colon {\bf Z} \to {\bf Z}$ be polynomials of degree at
most $d$ for some $d \geq 1$, with the degree $d$ coefficients all distinct,
and admissible in the sense that for every prime $p$, there exists integers
$n,m$ such that $n+P_1(m),\dots,n+P_k(m)$ are all not divisible by $p$. We show
that there exist infinitely many natural numbers $n,m$ such that
$n+P_1(m),\dots,n+P_k(m)$ are simultaneously prime, generalizing a previous
result of the authors, which was restricted to the special case
$P_1(0)=\dots=P_k(0)=0$ (though it allowed for the top degree coefficients to
coincide). Furthermore, we obtain an asymptotic for the number of such prime
pairs $n,m$ with $n \leq N$ and $m \leq M$ with $M$ slightly less than
$N^{1/d}$.
  Our arguments rely on four ingredients. The first is a (slightly modified)
generalized von Neumann theorem of the authors, reducing matters to controlling
certain averaged local Gowers norms of (suitable normalizations of) the von
Mangoldt function. The second is a more recent concatenation theorem of the
authors, controlling these averaged local Gowers norms by global Gowers norms.
The third ingredient is the work of Green and the authors on linear equations
in primes, allowing one to compute these global Gowers norms for the normalized
von Mangoldt functions. Finally, we use the Conlon-Fox-Zhao densification
approach to the transference principle to combine the preceding three
ingredients together.
  In the special case $P_1(0)=\dots=P_k(0)=0$, our methods also give infinitely
many $n,m$ with $n+P_1(m),\dots,n+P_k(m)$ in a specified set primes of positive
relative density $\delta$, with $m$ bounded by $\log^L n$ for some $L$
independent of the density $\delta$. This improves slightly on a result from
our previous paper, in which $L$ was allowed to depend on $\delta$.


title: A pseudo-spectrum analysis of galaxy-galaxy lensing

abstract:
  We present the application of the pseudo-spectrum method to galaxy-galaxy
lensing. We derive explicit expressions for the pseudo-spectrum analysis of the
galaxy-shear cross spectrum, which is the Fourier space counterpart of the
stacked galaxy-galaxy lensing profile. The pseudo-spectrum method corrects
observational issues such as the survey geometry, masks of bright stars and
their spikes, and inhomogeneous noise, which distort the spectrum and also mix
the E-mode and the B-mode signals. Using ray-tracing simulations in N-body
simulations including realistic masks, we confirm that the pseudo-spectrum
method successfully recovers the input galaxy-shear cross spectrum. We also
investigate the covariance of the galaxy-shear cross spectrum using the
ray-tracing simulations to show that there is an excess covariance relative to
the Gaussian covariance at small scales where the shot noise is dominated in
the Gaussian approximation. We find that the excess of the covariance is
consistent with the expectation from the halo sample variance (HSV), which
originates from the matter fluctuations at scales larger than the survey area.
We apply the pseudo-spectrum method to the observational data of
Canada-France-Hawaii Telescope Lensing survey (CFHTLenS) shear catalogue and
three different spectroscopic samples of Sloan Digital Sky Survey Luminous Red
Galaxy (SDSS LRG), and Baryon Oscillation Spectroscopic Survey (BOSS) CMASS and
LOWZ galaxies. The galaxy-shear cross spectra are significantly detected at the
level of 7-10$\sigma$ using the analytic covariance with the HSV contribution
included. We also confirm that the observed spectra are consistent with the
halo model predictions with the halo occupation distribution parameters
estimated from previous work. This work demonstrates the viability of
galaxy-galaxy lensing analysis in the Fourier space.


title:
Ultrafast Dynamics of Vibrational Symmetry Breaking in a Charge-ordered
  Nickelate

abstract:
  The ability to probe symmetry breaking transitions on their natural time
scales is one of the key challenges in nonequilibrium physics. Stripe ordering
represents an intriguing type of broken symmetry, where complex interactions
result in atomic-scale lines of charge and spin density. Although phonon
anomalies and periodic distortions attest the importance of electron-phonon
coupling in the formation of stripe phases, a direct time-domain view of
vibrational symmetry breaking is lacking. We report experiments that track the
transient multi-THz response of the model stripe compound
La$_{1.75}$Sr$_{0.25}$NiO$_{4}$, yielding novel insight into its electronic and
structural dynamics following an ultrafast optical quench. We find that
although electronic carriers are immediately delocalized, the crystal symmetry
remains initially frozen - as witnessed by time-delayed suppression of
zone-folded Ni-O bending modes acting as a fingerprint of lattice symmetry.
Longitudinal and transverse vibrations react with different speeds, indicating
a strong directionality and an important role of polar interactions. The hidden
complexity of electronic and structural coupling during stripe melting and
formation, captured here within a single terahertz spectrum, opens new paths to
understanding symmetry breaking dynamics in solids.


title:
Ill-posedness for the incompressible Euler equations in critical Sobolev
  spaces

abstract:
  For the $2D$ Euler equation in vorticity formulation, we construct localized
smooth solutions whose critical Sobolev norms become large in a short period of
time, and solutions which initially belong to $L^\infty \cap H^1$ but escapes
$H^1$ immediately for $t>0$. Our main observation is that a localized chunk of
vorticity bounded in $L^\infty \cap H^1$ with odd-odd symmetry is able to
generate a hyperbolic flow with large velocity gradient at least for a short
period of time, which stretches the vorticity gradient.


title: On simply-laced generalized root systems

abstract:
  We show the uniqueness and existence of the Euler form for a simply-laced
generalized root system. This enables us to show that the Coxeter element for a
simply-laced generalized root system is admissible in the sense of
R.~W.~Carter. As an application, the isomorphism classes of simply-laced
generalized root systems with positive definite Cartan forms are classified by
Cartar's admissible diagrams associated to their Coxeter elements.


title:
On clustering financial time series: a need for distances between
  dependent random variables

abstract:
  The following working document summarizes our work on the clustering of
financial time series. It was written for a workshop on information geometry
and its application for image and signal processing. This workshop brought
several experts in pure and applied mathematics together with applied
researchers from medical imaging, radar signal processing and finance. The
authors belong to the latter group. This document was written as a long
introduction to further development of geometric tools in financial
applications such as risk or portfolio analysis. Indeed, risk and portfolio
analysis essentially rely on covariance matrices. Besides that the Gaussian
assumption is known to be inaccurate, covariance matrices are difficult to
estimate from empirical data. To filter noise from the empirical estimate,
Mantegna proposed using hierarchical clustering. In this work, we first show
that this procedure is statistically consistent. Then, we propose to use
clustering with a much broader application than the filtering of empirical
covariance matrices from the estimate correlation coefficients. To be able to
do that, we need to obtain distances between the financial time series that
incorporate all the available information in these cross-dependent random
processes.


title:
Training-Free Synthesized Face Sketch Recognition Using Image Quality
  Assessment Metrics

abstract:
  Face sketch synthesis has wide applications ranging from digital
entertainments to law enforcements. Objective image quality assessment scores
and face recognition accuracy are two mainly used tools to evaluate the
synthesis performance. In this paper, we proposed a synthesized face sketch
recognition framework based on full-reference image quality assessment metrics.
Synthesized sketches generated from four state-of-the-art methods are utilized
to test the performance of the proposed recognition framework. For the image
quality assessment metrics, we employed the classical structured similarity
index metric and other three prevalent metrics: visual information fidelity,
feature similarity index metric and gradient magnitude similarity deviation.
Extensive experiments compared with baseline methods illustrate the
effectiveness of the proposed synthesized face sketch recognition framework.
Data and implementation code in this paper are available online at
www.ihitworld.com/WNN/IQA_Sketch.zip.


title: Magic and tune-out wavelengths for atomic francium

abstract:
  The frequency dependent polarizabilities of the francium atom are calculated
from the available data of energy levels and transition rates. Magic
wavelengths for the state insensitive optical dipole trapping are identified
from the calculated light shifts of the $7s~^2S_{1/2}$, $7p~^2P_{1/2, 3/2}$ and
$8s~^{2}S_{1/2}$ levels of the $7s~^{2}S_{1/2}-7p~^{2}P_{1/2,3/2}$ and
$7s~^{2}S_{1/2}-8s~^{2}S_{1/2}$ transitions, respectively. Wavelengths in the
ultraviolet, visible and near infrared region is identified that are suitable
for cooling and trapping. Magic wavelengths between 600-700~nm and 700-1000~nm
region, which are blue and red detuned with the $7s-7p$ and $7s-8s$ transitions
are feasible to implement as lasers with sufficient power are available. In
addition, we calculated the tune-out wavelengths where the ac polarizability of
the ground $7s~^{2}S_{1/2}$ state in francium is zero. These results are
beneficial as laser cooled and trapped francium has been in use for fundamental
symmetry investigations like searches for an electron permanent electric dipole
moment in an atom and for atomic parity non-conservation.


title: Loss Tomography in General Topology

abstract:
  Although there are a few works reported in the literature considering loss
tomography in the general topology, there is few well established result since
all of them rely either on simulations or on experiments that have many random
factors affecting the outcome. To improve the situation, we address a number of
issues in this paper that include a maximum likelihood estimator (MLE) for the
general topology, the statistical properties of the MLE, the statistical
properties of a frequently referred estimator called the moving variance and
weighted average (MVWA), and a renewed MVWA that removes the restriction of
knowing variance in advance from the MVWA. The statistical properties covers
minimum-variance unbiasedness, efficiency, and variances of the estimates
obtained by the estimators. Given the properties, we can evaluate the
estimators without the need of simulations. To verify the properties, a
simulation study is conducted that confirms the accuracy of the findings.


title:
Some identities of Eulerian polynomials arising from nonlinear
  differential equations

abstract:
  In this paper, we study nonlinear differential equations arising from
Eulerian polynomials and their applications. From our study of nonlinear
differential equations, we derive some new and explicit identities involving
Eulerian and higher-order Eulerian polynomials.


title: Braiding Majorana Fermions

abstract:
  In this paper we study a Clifford algebra generalization of the quaternions
and its relationship with braid group representations related to Majorana
fermions. The Fibonacci model for topological quantum computing is based on the
fusion rules for a Majorana fermion. Majorana fermions can be seen not only in
the structure of collectivies of electrons, as in the quantum Hall effect, but
also in the structure of single electrons both by experiments with electrons in
nanowires and also by the decomposition of the operator algebra for a fermion
into a Clifford algebra generated by two Majorana operators. The purpose of
this paper is to discuss these braiding representations, important for
relationships among physics, quantum information and topology. A new result in
this paper is the Clifford Braiding Theorem. This theorem shows that the
Majorana operators give rise to a particularly robust representation of the
braid group that is then further represented to find the phases of the fermions
under their exchanges in a plane space. The more robust representation in our
braiding theorem will be the subject of further work.


title:
Privacy-Preserved Big Data Analysis Based on Asymmetric Imputation
  Kernels and Multiside Similarities

abstract:
  This study presents an efficient approach for incomplete data classification,
where the entries of samples are missing or masked due to privacy preservation.
To deal with these incomplete data, a new kernel function with asymmetric
intrinsic mappings is proposed in this study. Such a new kernel uses three-side
similarities for kernel matrix formation. The similarity between a testing
instance and a training sample relies not only on their distance but also on
the relation between the testing sample and the centroid of the class, where
the training sample belongs. This reduces biased estimation compared with
typical methods when only one training sample is used for kernel matrix
formation. Furthermore, centroid generation does not involve any clustering
algorithms. The proposed kernel is capable of performing data imputation by
using class-dependent averages. This enhances Fisher Discriminant Ratios and
data discriminability. Experiments on two open databases were carried out for
evaluating the proposed method. The result indicated that the accuracy of the
proposed method was higher than that of the baseline. These findings thereby
demonstrated the effectiveness of the proposed idea.


title: Models of cuspy triaxial stellar systems. IV: Rotating systems

abstract:
  We built two self-consistent models of triaxial, cuspy, rotating stellar
systems adding rotation to non-rotating models presented in previous papers of
this series. The final angular velocity of the material is not constant and
varies with the distance to the center and with the height over the equator of
the systems, but the figure rotation is very uniform in both cases. Even though
the addition of rotation to the models modifies their original semiaxes ratios,
the final rotating models are considerably flattened and triaxial. An analysis
of the orbital content of the models shows that about two thirds of their
orbits are chaotic yet the models are very stable over intervals of the order
of one Hubble time. The bulk of regular orbits are short axis tubes, while long
axis tubes are replaced by tubes whose axes lie on the short-long axes plane,
but do not coincide with the major axis. Other types of regular orbits that do
not appear in non-rotating systems, like horseshoes and orbits that cross
themselves, are also found in the present models. Finally, our frequency maps
show empty regions where studies of orbits on fixed potentials found orbits, a
likely consequence of the self-consistency of our models that excludes them.


title:
The electromagnetic afterglows of gravitational waves as a test for
  Quantum Gravity

abstract:
  We argue that if particularly powerful electromagnetic afterglows of the
gravitational waves bursts will be observed in the future, this could be used
as a strong observational support for some suggested quantum alternatives for
black holes (e.g., firewalls and gravastars). A universal absence of powerful
afterglows should be taken as a suggestive argument against such hypothetical
quantum-gravity objects.


title: Dieudonn\'e theory over semiperfect rings and perfectoid rings

abstract:
  The Dieudonn\'e crystal of a p-divisible group over a semiperfect ring R can
be endowed with a window structure. If R satisfies a boundedness condition,
this construction gives an equivalence of categories. As an application one
obtains a classification of p-divisible groups and commutative finite locally
free p-group schemes over perfectoid rings by Breuil-Kisin-Fargues modules if
p>2.


title:
SDSS J085431.18+173730.5: The First Compact Elliptical Galaxy Hosting an
  Active Nucleus

abstract:
  We report the discovery of a rare compact early-type galaxy, SDSS
J085431.18+173730.5 (hereafter cE\_AGN). It has an half light radius of R$_{e}$
= 490 pc and a brightness of M$_{r}$ = $-$18.08 mag. Optical spectroscopy
available from the Sloan Digital Sky Survey (SDSS) reveals the presence of
prominent broad-line emissions with the H$\alpha$ broad component width of
FWHM=2400 km/s. The black hole (BH) mass, as estimated from the luminosity and
width of the broad H$\alpha$ emission, is 2.1$\times$10$^{6}$ M$_{\sun}$. With
the help of surface photometry, we perform a detailed analysis of the
structural properties. The observed light distribution is best modeled with a
double S\'ersic function. Fixing the outer component as an exponential disk, we
find that the inner component has a S\'ersic index of n = 1.4. Considering the
inner component as bulge/spheroidal we find that cE\_AGN remains consistent in
both BH mass -- bulge mass relation and BH mass -- bulge S\'ersic index
relation. Given these observational properties, we discuss its possible origin
investigating the surrounding environment where it is located.


title: Searching for PeV neutrinos from photomeson interactions in magnetars

abstract:
  In this paper we estimate the flux of PeV neutrinos and gamma-rays from
magnetar polar caps, assuming that ions/protons are injected, and accelerated
in these regions and interact with the radiative background. The present study
takes into account the effect of the photon splitting mechanisms that should
modify the radiative background, and enhance the neutrino and gamma-ray fluxes
at PeV energies, with a view to explain the PeV neutrino events detected in
IceCube. The results indicate that in near future, possibility of any
significant excess of neutrino events from a magnetar in Milky Way is extremely
low. Further, we suggest that the simultaneous observation of neutrinos and
gamma-rays at Earth from expanded 'Gen2' IceCube detector and/or High Altitude
Water Cherenkov Observatory would provide opportunities to explore the possible
origin of very high energy neutrinos and gamma-rays.


title:
An end-to-end convolutional selective autoencoder approach to Soybean
  Cyst Nematode eggs detection

abstract:
  This paper proposes a novel selective autoencoder approach within the
framework of deep convolutional networks. The crux of the idea is to train a
deep convolutional autoencoder to suppress undesired parts of an image frame
while allowing the desired parts resulting in efficient object detection. The
efficacy of the framework is demonstrated on a critical plant science problem.
In the United States, approximately $1 billion is lost per annum due to a
nematode infection on soybean plants. Currently, plant-pathologists rely on
labor-intensive and time-consuming identification of Soybean Cyst Nematode
(SCN) eggs in soil samples via manual microscopy. The proposed framework
attempts to significantly expedite the process by using a series of manually
labeled microscopic images for training followed by automated high-throughput
egg detection. The problem is particularly difficult due to the presence of a
large population of non-egg particles (disturbances) in the image frames that
are very similar to SCN eggs in shape, pose and illumination. Therefore, the
selective autoencoder is trained to learn unique features related to the
invariant shapes and sizes of the SCN eggs without handcrafting. After that, a
composite non-maximum suppression and differencing is applied at the
post-processing stage.


title:
A proposed method for measurement of cosmic-ray chemical composition
  based on geomagnetic spectroscopy

abstract:
  The effect of the geomagnetic Lorentz force on the muon component of
extensive air shower (EAS) has been studied in a Monte Carlo generated
simulated data sample. This geomagnetic field affects the paths of muons in an
EAS, causing a local contrast or polar asymmetry in the abundance of positive
and negative muons about the shower axis. The asymmetry can be approximately
expressed as a function of transverse separation between the positive and
negative muons barycentric positions in the EAS through opposite quadrants
across the shower core in the shower front plane. In the present study, it is
found that the transverse muon barycenter separation and its maximum value
obtained from the polar variation of the parameter are higher for Iron
primaries than protons for highly inclined showers. Hence, in principle, these
parameters can be exploited to the measurement of primary cosmic-ray chemical
composition. Possibility of practical realization of the proposed method in a
real experiment is briefly discussed.


title:
Unbounded strongly irreducible operators and transitive representations
  of quivers on infinite-dimensional Hilbert spaces

abstract:
  We introduce unbounded strongly irreducible operators and transitive
operators. These operators are related to a certain class of indecomposable
Hilbert representations of quivers on infinite-dimensional Hilbert spaces. We
regard the theory of Hilbert representations of quivers is a generalization of
the theory of unbounded operators. A non-zero Hilbert representation of a
quiver is said to be transitive if the endomorphism algebra is trivial. If a
Hilbert representation of a quiver is transitive, then it is indecomposable.
But the converse is not true. Let $\Gamma$ be a quiver whose underlying
undirected graph is an extended Dynkin diagram. Then there exists an
infinite-dimensional transitive Hilbert representation of $\Gamma$ if and only
if $\Gamma$ is not an oriented cyclic quiver.


title:
Inverse Construction of the $\Lambda$LTB Model from a Distance-redshift
  Relation

abstract:
  Spherically symmetric dust universe models with a positive cosmological
constant $\Lambda$, known as $\Lambda$-Lema\^itre-Tolman-Bondi($\Lambda$LTB)
models, are considered. We report a method to construct the $\Lambda$LTB model
from a given distance-redshift relation observed at the symmetry center. The
spherical inhomogeneity is assumed to be composed of growing modes. We derive a
set of ordinary differential equations for three functions of the redshift,
which specify the spherical inhomogeneity. Once a distance-redshift relation is
given, with careful treatment of possible singular points, we can uniquely
determine the model by solving the differential equations for each value of
$\Lambda$. As a demonstration, we fix the distance-redshift relation as that of
the flat $\Lambda$CDM model with $(\Omega^{\rm dis}_{\rm m0}, \Omega^{\rm
dis}_{\rm \Lambda 0})=(0.3,0.7)$, where $\Omega^{\rm dis}_{\rm m0}$ and
$\Omega^{\rm dis}_{\rm \Lambda 0}$ are the normalized matter density and the
cosmological constant, respectively. Then, we construct the $\Lambda$LTB model
for several values of $\Omega_{\rm \Lambda 0}:=\Lambda/(3H_0^2)$, where $H_0$
is the present Hubble parameter observed at the symmetry center. We obtain void
structure around the symmetry center for $\Omega_{\Lambda 0}<\Omega^{\rm
dis}_{\Lambda 0}$. We show the relation between the ratio
$\Omega_{\Lambda0}/\Omega^{\rm dis}_{\Lambda 0}$ and the amplitude of the
inhomogeneity.


title:
Adaptive RBF-FD Method for Elliptic Problems with Point Singularities in
  2D

abstract:
  We describe and test numerically an adaptive meshless generalized finite
difference method based on radial basis functions that competes well with the
finite element method on standard benchmark problems with reentrant corners of
the boundary, sharp peaks and rapid oscillations in the neighborhood of an
isolated point. This is achieved thanks to significant improvements introduced
into the earlier algorithms of [Oleg Davydov and Dang~Thi Oanh, Adaptive
meshless centers and RBF stencils for Poisson equation, Journal of
Computational Physics, 230:287--304, 2011], including a new error indicator of
Zienkiewicz-Zhu type.


title:
Early Detection of Combustion Instabilities using Deep Convolutional
  Selective Autoencoders on Hi-speed Flame Video

abstract:
  This paper proposes an end-to-end convolutional selective autoencoder
approach for early detection of combustion instabilities using rapidly arriving
flame image frames. The instabilities arising in combustion processes cause
significant deterioration and safety issues in various human-engineered systems
such as land and air based gas turbine engines. These properties are described
as self-sustaining, large amplitude pressure oscillations and show varying
spatial scales periodic coherent vortex structure shedding. However, such
instability is extremely difficult to detect before a combustion process
becomes completely unstable due to its sudden (bifurcation-type) nature. In
this context, an autoencoder is trained to selectively mask stable flame and
allow unstable flame image frames. In that process, the model learns to
identify and extract rich descriptive and explanatory flame shape features.
With such a training scheme, the selective autoencoder is shown to be able to
detect subtle instability features as a combustion process makes transition
from stable to unstable region. As a consequence, the deep learning tool-chain
can perform as an early detection framework for combustion instabilities that
will have a transformative impact on the safety and performance of modern
engines.


title: Some upper bounds for the $3$-proper index of graphs

abstract:
  A tree $T$ in an edge-colored graph is a {\it proper tree} if no two adjacent
edges of $T$ receive the same color. Let $G$ be a connected graph of order $n$
and $k$ be a fixed integer with $2\le k\le n$. For a vertex subset $S \subseteq
V(G)$ with $\left|S\right| \ge 2$, a tree containing all the vertices of $S$ in
$G$ is called an $S$-tree. An edge-coloring of $G$ is called a \emph{$k$-proper
coloring} if for every $k$-subset $S$ of $V(G)$, there exists a proper $S$-tree
in $G$. For a connected graph $G$, the \emph{$k$-proper index} of $G$, denoted
by $px_k(G)$, is the smallest number of colors that are needed in a $k$-proper
coloring of $G$. In this paper, we show that for every connected graph $G$ of
order $n$ and minimum degree $\delta \geq 3$, $px_{3}(G)\le
n\frac{\ln(\delta+1)}{\delta+1}(1+o_{\delta}(1))+2$. We also prove that for
every connected graph $G$ with minimum degree at least $3$, $px_{3}(G) \le
px_{3}(G[D])+3$ when $D$ is a connected $3$-way dominating set of $G$ and
$px_{3}(G) \le px_{3}(G[D])+1$ when $D$ is a connected $3$-dominating set of
$G$. In addition, we obtain tight upper bounds of the 3-proper index for two
special graph classes: threshold graphs and chain graphs. Finally, we prove
that $px_3(G) \le \lfloor\frac{n}{2}\rfloor$ for any 2-connected graphs with at
least four vertices.


title: Besov-type spaces of variable smoothness on rough domains

abstract:
  The paper puts forward new Besov spaces of variable smoothness
$B^{\varphi_{0}}_{p,q}(G,\{t_{k}\})$ and
$\widetilde{B}^{l}_{p,q,r}(\Omega,\{t_{k}\})$ on rough domains. A~domain~$G$ is
either a~bounded Lipschitz domain in~$\mathbb{R}^{n}$ or the epigraph of
a~Lipschitz function, a~domain~$\Omega$ is an $(\varepsilon,\delta)$-domain.
These spaces are shown to be the traces of the spaces
$B^{\varphi_{0}}_{p,q}(\mathbb{R}^{n},\{t_{k}\})$ and
$\widetilde{B}^{l}_{p,q,r}(\mathbb{R}^{n},\{t_{k}\})$ on domains $G$
and~$\Omega$, respectively. The extension operator
$\operatorname{Ext}_{1}:B^{\varphi_{0}}_{p,q}(G,\{t_{k}\}) \to
B^{\varphi_{0}}_{p,q}(\mathbb{R}^{n},\{t_{k}\})$ is linear, the operator
$\operatorname{Ext}_{2}:\widetilde{B}^{l}_{p,q,r}(\Omega,\{t_{k}\}) \to
\widetilde{B}^{l}_{p,q,r}(\mathbb{R}^{n},\{t_{k}\})$ is nonlinear. As
a~corollary, an exact description of the traces of 2-microlocal Besov-type
spaces and weighted Besov-type spaces on rough domains is obtained.


title: Collective decision making with a mix of majority and minority seekers

abstract:
  We study a model of a population making a binary decision based on
information spreading within the population, which is fully connected or
covering a square grid. We assume that a fraction of the population wants to
make the choice of the majority, while the rest want to make the minority
choice. This resembles opinion spreading with "contrarian" agents, but has the
game theoretic aspect that agents try to optimize their own situation in ways
that are incompatible with the common good. When this fraction is less than
1/2, the population can efficiently self-organize to a state where agents get
what they want -- the majority (i.e. the majority seekers) have one opinion,
the minority seekers have the other. If the fraction is larger than 1/2, there
is a frustration in the population that dramatically changes the dynamics. In
this region, the population converges, through some distinct phases, to a state
of approximately equal-sized opinions. Just over the threshold the state of the
population is furthest from the collectively optimal solution.


title:
On the Consistency of the Bias Correction Term of the AIC for the
  Non-Concave Penalized Likelihood Method

abstract:
  Penalized likelihood methods with an $\ell_{\gamma}$-type penalty, such as
the Bridge, the SCAD, and the MCP, allow us to estimate a parameter and to do
variable selection, simultaneously, if $\gamma\in (0,1]$. In this method, it is
important to choose a tuning parameter which controls the penalty level, since
we can select the model as we want when we choose it arbitrarily. Nowadays,
several information criteria have been developed to choose the tuning parameter
without such an arbitrariness. However the bias correction term of such
information criteria depend on the true parameter value in general, then we
usually plug-in a consistent estimator of it to compute the information
criteria from the data. In this paper, we derive a consistent estimator of the
bias correction term of the AIC for the non-concave penalized likelihood method
and propose a simple AIC-type information criterion for such models.


title:
On $L_p$-estimates for elliptic and parabolic equations with $A_p$
  weights

abstract:
  We prove generalized Fefferman-Stein type theorems on sharp functions with
$A_p$ weights in spaces of homogeneous type with either finite or infinite
underlying measure. We then apply these results to establish mixed-norm
weighted $L_p$-estimates for elliptic and parabolic equations/systems with
(partially) BMO coefficients in regular or irregular domains.


title: On matter coupled to the higher spin square

abstract:
  Gaberdiel and Gopakumar recently proposed that the tensionless limit of
string theory on $AdS_3 \times S^3 \times T^4$ takes the form of a higher spin
theory with a gauge algebra that is referred to as the higher spin square. In
this note, we formulate the linearized Vasiliev-type equations which describe a
matter field coupled to the higher spin square. We study the particle spectrum
of this field and show that it accounts for the entire untwisted sector of the
dual symmetric orbifold CFT, thereby confirming a conjecture by Gaberdiel and
Gopakumar. In doing so, we pinpoint the group-theoretic data which determine
the spectrum of a matter field coupled to a general higher spin algebra, which
we illustrate by revisiting the theory based on the $hs[1/2]$ algebra.


title: Deep Learning At Scale and At Ease

abstract:
  Recently, deep learning techniques have enjoyed success in various multimedia
applications, such as image classification and multi-modal data analysis. Large
deep learning models are developed for learning rich representations of complex
data. There are two challenges to overcome before deep learning can be widely
adopted in multimedia and other applications. One is usability, namely the
implementation of different models and training algorithms must be done by
non-experts without much effort especially when the model is large and complex.
The other is scalability, that is the deep learning system must be able to
provision for a huge demand of computing resources for training large models
with massive datasets. To address these two challenges, in this paper, we
design a distributed deep learning platform called SINGA which has an intuitive
programming model based on the common layer abstraction of deep learning
models. Good scalability is achieved through flexible distributed training
architecture and specific optimization techniques. SINGA runs on GPUs as well
as on CPUs, and we show that it outperforms many other state-of-the-art deep
learning systems. Our experience with developing and training deep learning
models for real-life multimedia applications in SINGA shows that the platform
is both usable and scalable.


title: Lipschitz constants in experimental optimization

abstract:
  The Lipschitz constant of a response surface function upper bounds the
sensitivity of a dependent variable to changes in the independent ones.
Traditionally, such constants have found much implicit and abstract use in
mathematically oriented applications, but their potential for explicit use in
more engineering-based domains has not been explored. The latter point is the
subject of this paper, where we propose several ways in which the Lipschitz
constants may be used explicitly in the domain of experimental optimization.
Specifically, we focus on how they may help ensure the satisfaction of
constraints and on their potential role in reducing the negative effects of
measurement or estimation uncertainty. A number of refinements to the proposed
approaches are also derived, and some techniques for setting the constants are
presented.


title:
Extinction Laws toward Stellar Sources within a Dusty Circimstellar
  Medium and Implications for Type Ia Supernovae

abstract:
  Many astronomical objects are surrounded by dusty environments. In such dusty
objects, multiple scattering processes of photons by circumstellar (CS) dust
grains can effectively alter extinction properties. In this paper, we
systematically investigate effects of multiple scattering on extinction laws
for steady-emission sources surrounded by the dusty CS medium, using a
radiation transfer simulation based on the Monte Carlo technique. In
particular, we focus on whether and how the extinction properties are affected
by properties of CS dust grains, adopting various dust grain models. We {\bf
confirm} that behaviors of the (effective) extinction laws are highly dependent
on the properties of CS grains. Especially, the total-to-selective extinction
ratio $R_{V}$, which characterizes the extinction law, can be either increased
or decreased, compared to the case without multiple scattering. We find that
the criterion for this behavior is given by a ratio of albedos in the $B$ and
$V$ bands. We also find that either small silicate grains or polycyclic
aromatic hydrocarbons (PAHs) are necessary for realizing a low value of $R_{V}$
as often measured toward Type Ia supernovae, if the multiple scattering by CS
dust is responsible for their non-standard extinction laws. Using the derived
relations between the properties of dust grains and the resulting effective
extinction laws, we propose that the extinction laws toward dusty objects could
be used to constrain the properties of dust grains in CS environments.


title: A multinomial probabilistic model for movie genre predictions

abstract:
  This paper proposes a movie genre-prediction based on multinomial probability
model. To the best of our knowledge, this problem has not been addressed yet in
the field of recommender system. The prediction of a movie genre has many
practical applications including complementing the items categories given by
experts and providing a surprise effect in the recommendations given to a user.
We employ mulitnomial event model to estimate a likelihood of a movie given
genre and the Bayes rule to evaluate the posterior probability of a genre given
a movie. Experiments with the MovieLens dataset validate our approach. We
achieved 70% prediction rate using only 15% of the whole set for training.


title: Markov substitute processes : a new model for linguistics and beyond

abstract:
  We introduce Markov substitute processes, a new model at the crossroad of
statistics and formal grammars, and prove its main property : Markov substitute
processes with a given support form an exponential family.


title: Quantum Enhanced Energy Distribution for Information Heat Engines

abstract:
  A new scenario for energy distribution, security and shareability is
presented that assumes the availability of quantum information heat engines and
a thermal bath. It is based on the convertibility between entropy and work in
the presence of a thermal reservoir. Our approach to the informational content
of physical systems that are distributed between users is complementary to the
conventional perspective of quantum communication. The latter places the value
on the unpredictable content of the transmitted quantum states, while our
interest focuses on their certainty. Some well-known results in quantum
communication are reused in this context. Particularly, we describe a way to
securely distribute quantum states to be used for unlocking energy from thermal
sources. We also consider some multi-partite entangled and classically
correlated states for a collaborative multi-user sharing of work extraction
possibilities. Besides, the relation between the communication and work
extraction capabilities is analyzed and written as an equation.


title: Meridional circulation in the Sun and stars

abstract:
  Mean-field hydrodynamics advanced to clear explanations for the origin and
properties of the global meridional flow in stellar convection zones.
Qualitative arguments and analysis of basic equations both show that the
meridional circulation is driven by non-conservative centrifugal and buoyancy
forces and results from a slight disbalance between these two drivers. The
deviations from the thermal wind balance are relatively large near the
boundaries of convection zones. Accordingly, the meridional flow attains its
largest velocities in the boundary layers and decreases inside the convection
zone. This picture, however, is neither supported nor dismissed by the
conflicting results of recent helioseismic soundings or 3D numerical
experiments. The relevant physics of the differential temperature and its
possible relation to the solar oblateness are briefly discussed.


title:
On the speed of sound and heat capacity of liquid neon in the
  subcritical region

abstract:
  The data (the speed of sound, the isobaric and isochoric heat capacities as
well as the heat capacity ratio) for liquid neon presented in NIST Chemistry
WebBook are analyzed. It has been shown, basing on the representation of the
inverse reduced volume fluctuations, that they consist of sufficient
discrepancies in the subcritical region. The correction of data in this region
of the coexistence curve is evaluated using the fluctuation approach and the
theory of thermodynamic similarity.


title: Update of HKN Nuclear PDFs

abstract:
  We discuss consistency of the nuclear effects between the electromagnetic and
weak interactions. In order to study a possibility of different nuclear effects
in the neutrino DIS process, double differential cross section data are
compared with these values obtained by the HKN07 nuclear parton distribution
functions (nPDFs). Discrepancies are found in the small and large-$x$ regions,
and difference of kinematical value $y$ dependence exists between the $\nu$ and
$\bar{\nu}$ data around $x=0.35$. Moreover, we study statistical significance
of the neutrino DIS data in each $x$ bin and discuss about the possibility of
the different nuclear modifications.


title: Neutron scattering by Dirac multipoles

abstract:
  Ordered magnetic charge created by Dirac multipoles that are magnetic and
polar is examined. It has previously been revealed in the pseudo-gap phase of
high-Tc materials by use of the Kerr effect and magnetic neutron Bragg
diffraction. There are several forms of the polar operator for magnetic neutron
scattering built from spin and electric dipole operators of unpaired electrons.
Construction of Dirac quadrupoles that emerge from centrosymmetric sites used
by Cu ions in the ceramic superconductor Hg1201 is illustrated, together with
selection rules for excitations that will feature in neutron inelastic
scattering, and RIXS experiments. Most reported expressions and results have
universal value, because they are not specific to ceramic superconductors. To
illustrate this aspect of our work we simulate neutron diffraction from a
magnetically ordered iridate (Sr2IrO4).


title: Using Simon's Algorithm to Attack Symmetric-Key Cryptographic Primitives

abstract:
  We present new connections between quantum information and the field of
classical cryptography. In particular, we provide examples where Simon's
algorithm can be used to show insecurity of commonly used cryptographic
symmetric-key primitives. Specifically, these examples consist of a quantum
distinguisher for the 3-round Feistel network and a forgery attack on CBC-MAC
which forges a tag for a chosen-prefix message querying only other messages (of
the same length). We assume that an adversary has quantum-oracle access to the
respective classical primitives. Similar results have been achieved recently in
independent work by Kaplan et al. Our findings shed new light on the
post-quantum security of cryptographic schemes and underline that classical
security proofs of cryptographic constructions need to be revisited in light of
quantum attackers.


title: Fluctuation Theorem for Many-Body Pure Quantum States

abstract:
  We prove the second law of thermodynamics and the nonequilibirum fluctuation
theorem for pure quantum states.The entire system obeys reversible unitary
dynamics, where the initial state of the heat bath is not the canonical
distribution but is a single energy-eigenstate that satisfies the
eigenstate-thermalization hypothesis (ETH). Our result is mathematically
rigorous and based on the Lieb-Robinson bound, which gives the upper bound of
the velocity of information propagation in many-body quantum systems. The
entanglement entropy of a subsystem is shown connected to thermodynamic heat,
highlighting the foundation of the information-thermodynamics link. We
confirmed our theory by numerical simulation of hard-core bosons, and observed
dynamical crossover from thermal fluctuations to bare quantum fluctuations. Our
result reveals a universal scenario that the second law emerges from quantum
mechanics, and can experimentally be tested by artificial isolated quantum
systems such as ultracold atoms.


title: Viscosity of holographic fluid in the presence of dark matter sector

abstract:
  Based on the gauge/gravity correspondence, the hydrodynamic response
coefficients, shear and Hall viscosities, have been studied. The holographic
model of Einstein-Maxwell- AdS $(3+1)$-dimensional system additionally coupled
with the another gauge field mimicking the {\it dark matter} sector, as well
as, gravitational Chern-Simons term bounded with a dynamical scalar field, were
taken into account. Condensation of the scalar field provides the parity
violating term. Both shear and Hall viscosities have been calculated and their
dependence on $\alpha$ - the coupling constant between matter and {\it dark
matter} sectors has been studied. To the lowest order in the derivative
expansion and perturbation in $\alpha$, the shear viscosity is not influenced
by the {\it dark matter}, while the Hall component linearly depends on
$\alpha$.


title:
Optimal strategies for impulse control of piecewise deterministic Markov
  processes

abstract:
  This paper deals with the general discounted impulse control problem of a
piecewise deterministic Markov process. We investigate a new family of
epsilon-optimal strategies. The construction of such strategies is explicit and
only necessitates the previous knowledge of the cost of the no-impulse
strategy. In particular, it does not require the resolution of auxiliary
optimal stopping problem or the computation of the value function at each point
of the state space. This approach is based on the iteration of a
single-jump-or-intervention operator associated to the piecewise deterministic
Markov process.


title:
A Convergent Numerical Scheme for Scattering of Aperiodic Waves from
  Periodic Surfaces Based on the Floquet-Bloch Transform

abstract:
  Periodic surface structures are nowadays standard building blocks of optical
devices. If such structures are illuminated by aperiodic time-harmonic incident
waves as, e.g., Gaussian beams, the resulting surface scattering problem must
be formulated in an unbounded layer including the periodic surface structure.
An obvious recipe to avoid the need to discretize this problem in an unbounded
domain is to set up an equivalent system of quasiperiodic scattering problems
in a single (bounded) periodicity cell via the Floquet-Bloch transform. The
solution to the original surface scattering problem then equals the inverse
Floquet-Bloch transform applied to the family of solutions to the quasiperiodic
problems, which simply requires to integrate these solutions in the
quasiperiodicity parameter. A numerical scheme derived from this representation
hence completely avoids the need to tackle differential equations on unbounded
domains. In this paper, we provide rigorous convergence analysis and error
bounds for such a scheme when applied to a two-dimensional model problem,
relying upon a quadrature-based approximation to the inverse Floquet-Bloch
transform and finite element approximations to quasiperiodic scattering
problems. Our analysis essentially relies upon regularity results for the
family of solutions to the quasiperiodic scattering problems in suitable mixed
Sobolev spaces. We illustrate our error bounds as well as efficiency of the
numerical scheme via several numerical examples.


title:
Quantum steering inequality with tolerance for
  measurement-setting-errors: experimentally feasible signature of unbounded
  violation

abstract:
  Quantum steering is a relatively simple test for quantumness of correlations,
proving that the values of quantum-mechanical measurement outcomes come into
being only in the act of measurement. By exploiting quantum correlations Alice
can influence -- steer -- Bob's physical system in a way inaccessible in
classical world, leading to violation of some inequalities. Demonstrating this
and similar quantum effects for systems of increasing size, approaching even
the classical limit, is a long-standing challenging problem. Here we provide
experimentally feasible signature of unbounded violation of a steering
inequality. We derive its universal form where tolerance for
measurement-setting-errors is explicitly build-in by means of the
Deutsch-Maassen-Uffink uncertainty relation. Then, generalizing the mutual
unbiasedness, we apply the inequality to the multi-singlet and multi-particle
bipartite Bell-state. However, the method is general and opens the possibility
of employing multi-particle bipartite steering for randomness certification and
development of quantum technologies, e.g.\ random access codes.


title:
Residual Diffeomorphisms and Symplectic Softs Hairs: The Need to Refine
  Strict Statement of Equivalence Principle

abstract:
  General covariance is the cornerstone of Einstein's General Relativity (GR)
and implies that any two metrics related by diffeomorphisms are physically
equivalent. There are, however, many examples pointing to the fact that this
strict statement of general covariance needs refinement. There are a very
special (measure-zero) subset of diffeomorphisms, the residual diffeomrphisms,
to which one can associate well-defined conserved charges. This would hence
render these diffeomorphic geometries physically distinct. We discuss that
these symmetries may be appropriately called "symplectic symmetries". Existence
of residual diffeomorphisms and sympelctic symmetries can be a quite general
feature and not limited to the examples discussed so far in the literature. We
propose that, in the context of black holes, these diffeomorphic, but distinct,
geometries may be viewed as "symplectic soft hair" on black holes. We comment
on how this may remedy black hole microstate problem, which in this context are
dubbed as "horizon fluffs".


title: On the Lucas Property of Linear Recurrent Sequences

abstract:
  We say that an arithmetical function $S:\mathbb{N}\rightarrow\mathbb{Z}$ has
Lucas property if for any prime $p$, \begin{equation*}
  S(n)\equiv S(n_{0})S(n_{1})\ldots S(n_{r})\pmod p, \end{equation*} where
$n=\sum_{i=0}^{r}n_{i}p^{i}$, with $0 \leq n_{i} \leq
p-1,n,n_{i}\in\mathbb{N}$.
  In this note, we discuss the Lucas property of Fibonacci sequences and Lucas
numbers. Meanwhile, we find some other interesting results.


title:
Cosmological Dynamics of Interacting Logarithmic Entropy Corrected
  Holographic Dark Energy Model

abstract:
  We investigate the cosmological dynamics of interacting Logarithmic Entropy
Corrected Holographic Dark Energy model with Cold Dark Matter. Fixed points are
determined and their corresponding cosmological models are presented. Moreover,
the dynamical properties of these fixed points are derived.


title: Notes on the characteristic cycle of a constructible sheaf

abstract:
  We study some properties of the characteristic cycle of a constructible
complex on a smooth variety over a perfect field, push-forward and product.


title: The Asymptotic Performance of Linear Echo State Neural Networks

abstract:
  In this article, a study of the mean-square error (MSE) performance of linear
echo-state neural networks is performed, both for training and testing tasks.
Considering the realistic setting of noise present at the network nodes, we
derive deterministic equivalents for the aforementioned MSE in the limit where
the number of input data $T$ and network size $n$ both grow large. Specializing
then the network connectivity matrix to specific random settings, we further
obtain simple formulas that provide new insights on the performance of such
networks.


title:
A single-crystal neutron diffraction study on magnetic structure of the
  quasi-one-dimensional antiferromagnet SrCo2V2O8

abstract:
  The magnetic structure of the spin-chain antiferromagnet SrCo2V2O8 is
determined by single-crystal neutron diffraction experiment. The system
undergoes magnetic long range order below T_N = 4.96 K. The moment of
2.16{\mu}_B per Co at 1.6 K in the screw chain running along the c axis
alternates in the c-axis. The moments of neighboring screw chains are arranged
antiferromagnetically along one in-plane axis and ferromagnetically along the
other in-plane axis. This magnetic configuration breaks the 4-fold symmetry of
the tetragonal crystal structure and leads to two equally populated magnetic
twins with antiferromagnetic vector in the a or b axis. The very similar
magnetic state to the isostructural BaCo2V2O8 warrants SrCo2V2O8 another
interesting half-integer spin-chain antiferromagnet for investigation on
quantum antiferromagnetism.


title: On the inverse signed total domination number in graphs

abstract:
  In this paper, we study the inverse signed total domination number in graphs
and present new lower and upper bounds on this parameter. For example by making
use of the classic theorem of Turan (1941), we present a sharp upper bound for
graphs with no induced complete subgraph of order greater than two. Also, we
bound this parameter for a tree in terms of its order and the number of leaves
and characterize all trees attaining this bound.


title: The Macronova in GRB 050709 and the GRB/macronova connection

abstract:
  GRB 050709 was the first short Gamma-ray Burst (sGRB) with an identified
optical afterglow. In this work we report a re-analysis of the publicly
available data of this event and the discovery of a Li-Paczynski
macronova/kilonova that dominates the optical/IR signal at t $>$ 2.5 days. Such
a signal would arise from ~0.05 M$_\odot$ r-process material launched by a
compact binary merger. The implied mass ejection supports the suggestion that
compact binary mergers are significant and possibly main sites of heavy
r-process nucleosynthesis. We have re-analyzed all afterglow data from nearby
short and hybrid GRBs. A statistical study of sGRB/macronova connection reveals
that macronova may have taken place in all these GRBs though the fraction as
low as 0.18 cannot be ruled out. The identification of two of the three
macronova candidates in the I-band implies a more promising detection prospect
for ground-based surveys.