title: Characterizations of locally finite actions of groups on sets

abstract:
  We show that an action of a group on a set $X$ is locally finite if and only
if $X$ is not equidecomposable with a proper subset of itself. As a
consequence, a group is locally finite if and only if its uniform Roe algebra
is finite.


title:
Critical initial-slip scaling for the noisy complex Ginzburg-Landau
  equation

abstract:
  We employ the perturbative field-theoretic renormalization group method to
investigate the universal critical behavior near the continuous non-equilibrium
phase transition in the complex Ginzburg-Landau equation with additive white
noise. This stochastic partial differential describes a remarkably wide range
of physical systems: coupled non-linear oscillators subject to external noise
near a Hopf bifurcation instability; spontaneous structure formation in
non-equilibrium systems, e.g., in cyclically competing populations; and
driven-dissipative Bose--Einstein condensation, realized in open systems on the
interface of quantum optics and many-body physics, such as cold atomic gases
and exciton-polaritons in pumped semiconductor quantum wells in optical
cavities. Our starting point is a noisy, dissipative Gross-Pitaevski or
non-linear Schr\"odinger equation, or equivalently purely relaxational kinetics
originating from a complex-valued Landau-Ginzburg functional, which generalizes
the standard equilibrium model A critical dynamics of a non-conserved complex
order parameter field. We study the universal critical behavior of this system
in the early stages of its relaxation from a Gaussian-weighted fully randomized
initial state. In this critical aging regime, time translation invariance is
broken, and the dynamics is characterized by the stationary static and dynamic
critical exponents, as well as an independent `initial-slip' exponent. We show
that to first order in the dimensional expansion about the upper critical
dimension, this initial-slip exponent in the complex Ginzburg-Landau equation
is identical to its equilibrium model A counterpart. We furthermore employ the
renormalization group flow equations as well as construct a suitable complex
spherical model extension to argue that this conclusion likely remains true to
all orders in the perturbation expansion.


title:
Flux cancellation and the evolution of the eruptive filament of 2011
  June 7

abstract:
  We investigate whether flux cancellation is responsible for the formation of
a very massive filament resulting in the spectacular 2011 June 7 eruption. We
analyse and quantify the amount of flux cancellation that occurs in NOAA AR
11226 and its two neighbouring ARs (11227 & 11233) using line-of-sight
magnetograms from the Heliospheric Magnetic Imager. During a 3.6-day period
building up to the filament eruption, 1.7 x 10^21 Mx, 21% of AR 11226's maximum
magnetic flux, was cancelled along the polarity inversion line (PIL) where the
filament formed. If the flux cancellation continued at the same rate up until
the eruption then up to 2.8 x 10^21 Mx (34% of the AR flux) may have been built
into the magnetic configuration that contains the filament plasma. The large
flux cancellation rate is due to an unusual motion of the positive polarity
sunspot, which splits, with the largest section moving rapidly towards the PIL.
This motion compresses the negative polarity and leads to the formation of an
orphan penumbra where one end of the filament is rooted. Dense plasma threads
above the orphan penumbra build into the filament, extending its length, and
presumably injecting material into it. We conclude that the exceptionally
strong flux cancellation in AR 11226 played a significant role in the formation
of its unusually massive filament. In addition, the presence and coherent
evolution of bald patches in the vector magnetic field along the PIL suggests
that the magnetic field configuration supporting the filament material is that
of a flux rope.


title: Charmonia production in p+p collisions under NRQCD formalism

abstract:
  This work presents the differential charmonia production cross sections in
high energy p+p collisions calculated using NRQCD formalism. The NRQCD
formalism, factorizes the quarkonia production cross sections in terms of short
distance QCD cross sections and long distance matrix elements (LDMEs). The
short distance cross sections are calculated in terms of perturbative QCD and
LDMEs are obtained by fitting the experimental data. Measured transverse
momentum distributions of $\chi_{\rm c}$, $\psi$(2S) and J/$\psi$ in p +{$\bar
{\rm p}$} collisions at $\sqrt{s}=$ 1.8, 1.96 TeV and in p+p collisions at
$\sqrt{s}=$ 7, 8 and 13 TeV are used to constrain LDMEs. The feed-down
contribution to each state from the higher states are taken into account. The
formalism provides a very good description of the data in a wide energy range.
The values of LDMEs are used to predict the charmonia cross sections in p+p
collisions at 13 and 5 TeV in kinematic bins relevant for the LHC detectors.


title: Magnetic Eigenmaps for the Visualization of Directed Networks

abstract:
  We propose a framework for the visualization of directed networks relying on
the eigenfunctions of the magnetic Laplacian, called here Magnetic Eigenmaps.
The magnetic Laplacian is a complex deformation of the well-known combinatorial
Laplacian. Features such as density of links and directionality patterns are
revealed by plotting the phases of the first magnetic eigenvectors. An
interpretation of the magnetic eigenvectors is given in connection with the
angular synchronization problem. Illustrations of our method are given for both
artificial and real networks.


title: The dependence of the [FUV-MUV] colour on solar cycle

abstract:
  Solar UV variability is extremely relevant for the stratospheric ozone. It
has an impact on Earth's atmospheric structure and dynamics through radiative
heating and ozone photochemistry. Our goal is to study the slope of the solar
UV spectrum in two UV bands important for the stratospheric ozone production.
In order to investigate the solar spectral variability, we use SOLSTICE (the
Solar Stellar Irradiance Comparison Experiment) data onboard Solar Radiation
and Climate Experiment (SORCE) satellite. Data sets used are far UV (115-180nm)
and middle UV (180-310nm), as well as the Mg II index (the Bremen composite).
We introduce the SOLSTICE [FUV - MUV] colour to study the solar spectral
characteristics, as well as analysis of the colour versus Mg II index. To
isolate the 11-year scale variation, we used the Empirical Mode decomposition
(EMD) on the data sets. The [FUV - MUV] colour strongly correlates with the Mg
II index. More in detail, the [FUV - MUV] colour shows a time dependent
behavior when plotted versus Mg II index. To explain this dependence we
hypothesize an efficiency reduction of SOLSTICE FUV irradiance using an
exponential aging law.


title:
Role of fluctuations in the phase transitions of coupled plaquette spin
  models of glasses

abstract:
  We study the role of fluctuations on the thermodynamic glassy properties of
plaquette spin models, more specifically on the transition involving an overlap
order parameter in the presence of an attractive coupling between different
replicas of the system. We consider both short-range fluctuations associated
with the local environment on Bethe lattices and long-range fluctuations that
distinguish Euclidean from Bethe lattices with the same local environment. We
find that the phase diagram in the temperature-coupling plane is very sensitive
to the former but, at least for the $3$-dimensional (square pyramid) model,
appears qualitatively or semi-quantitatively unchanged by the latter. This
surprising result suggests that the mean-field theory of glasses provides a
reasonable account of the glassy thermodynamics of models otherwise described
in terms of the kinetically constrained motion of localized defects and taken
as a paradigm for the theory of dynamic facilitation. We discuss the possible
implications for the dynamical behavior.


title:
An agent behavior based model for diffusion price processes with
  application to phase transition and oscillations

abstract:
  We present an agent behavior based microscopic model for diffusion price
processes. As such we provide a model not only containing a convenient
framework for describing socio-economic behavior, but also a sophisticated link
to price dynamics. We furthermore establish the circumstances under which the
dynamics converge to diffusion processes in the large market limit. To
demonstrate the applicability of a separation of behavior and price process, we
show how herding behavior of market participants can lead to equilibria
transition and oscillations in diffusion price processes.


title: Evaluating Informal-Domain Word Representations With UrbanDictionary

abstract:
  Existing corpora for intrinsic evaluation are not targeted towards tasks in
informal domains such as Twitter or news comment forums. We want to test
whether a representation of informal words fulfills the promise of eliding
explicit text normalization as a preprocessing step. One possible evaluation
metric for such domains is the proximity of spelling variants. We propose how
such a metric might be computed and how a spelling variant dataset can be
collected using UrbanDictionary.


title: Proplyds around a B1 star - 42 Orionis in NGC 1977

abstract:
  We present the discovery of seven new proplyds (i.e. sources surrounded by
cometary Halpha emission characteristic of offset ionization fronts) in NGC
1977, located about 30' north of the Orion Nebula Cluster at a distance of ~400
pc. Each of these proplyds are situated at projected distances 0.04-0.27 pc
from the B1V star 42 Orionis (c Ori), which is the main source of UV photons in
the region. In all cases the ionization fronts of the proplyds are clearly
pointing toward the common ionizing source, 42 Ori, and 6 of the 7 proplyds
clearly show tails pointing away from it. These are the first proplyds to be
found around a B star, with previously known examples instead being located
around O stars, including those in the Orion Nebula Cluster around $\theta^1$
Ori C. The radii of the offset ionization fronts in our proplyds are between
~200 and 550 AU; two objects also contain clearly resolved central sources that
we associate with disks of radii 50-70 AU. The estimated strength of the FUV
radiation field impinging on the proplyds is around 10-30 times less than that
incident on the classic proplyds in the Orion Nebula Cluster. We show that the
observed proplyd sizes are however consistent with recent models for FUV
photoevaporation in relatively weak FUV radiation fields.


title:
Application of the three-dimensional telegraph equation to cosmic-ray
  transport

abstract:
  An analytical solution to the the three-dimensional telegraph equation is
presented. This equation has recently received some attention but so far the
treatment has been one-dimensional. By using the structural similarity to the
Klein-Gordon equation, the telegraph equation can be solved in closed form.
Illustrative examples are used to discuss the qualitative differences to the
diffusion solution. The comparison with a numerical test-particle simulation
reveals that some features of an intensity profile can be better explained
using the telegraph approach.


title: Classical light steering leading to quantum-like security

abstract:
  We show how single system steering can be exhibited by classical light, a
feature originating from superposition in classical optics that also enables
entanglement and Bell-violation by classical light beams. Single system
steering is the temporal analogue of Einstein-Podolsky-Rosen (EPR) steering in
the quantum domain, enabling control of the state of a remote system, and can
hence be connected to the security of secret key generation between two remote
parties. We derive the steering criterion for a single mode coherent state when
displaced parity measurements are performed at two different times. The
security bound of the Bennett-Brassard 1984 (BB84) protocol under the gaussian
cloning attack is calculated to yield an, in principle, ideal and quantum-like
key rate using a fine-grained uncertainty relation corresponding to the
classical phase space.


title: An analytic function approach to weak mutually unbiased bases

abstract:
  Quantum systems with variables in ${\mathbb Z}(d)$ are considered, and three
different structures are studied. The first is weak mutually unbiased bases,
for which the absolute value of the overlap of any two vectors in two different
bases is $1/\sqrt{k}$ (where $k|d$) or $0$. The second is maximal lines through
the origin in the ${\mathbb Z}(d)\times {\mathbb Z}(d)$ phase space. The third
is an analytic representation in the complex plane based on Theta functions,
and their zeros. It is shown that there is a correspondence (triality) that
links strongly these three apparently different structures. For simplicity, the
case where $d=p_1\times p_2$, where $p_1,p_2$ are odd prime numbers different
from each other, is considered.


title:
Near-Optimal Computation of Runs over General Alphabet via Non-Crossing
  LCE Queries

abstract:
  Longest common extension queries (LCE queries) and runs are ubiquitous in
algorithmic stringology. Linear-time algorithms computing runs and
preprocessing for constant-time LCE queries have been known for over a decade.
However, these algorithms assume a linearly-sortable integer alphabet. A recent
breakthrough paper by Bannai et.\ al.\ (SODA 2015) showed a link between the
two notions: all the runs in a string can be computed via a linear number of
LCE queries. The first to consider these problems over a general ordered
alphabet was Kosolobov (\emph{Inf.\ Process.\ Lett.}, 2016), who presented an
$O(n (\log n)^{2/3})$-time algorithm for answering $O(n)$ LCE queries. This
result was improved by Gawrychowski et.\ al.\ (accepted to CPM 2016) to $O(n
\log \log n)$ time. In this work we note a special \emph{non-crossing} property
of LCE queries asked in the runs computation. We show that any $n$ such
non-crossing queries can be answered on-line in $O(n \alpha(n))$ time, which
yields an $O(n \alpha(n))$-time algorithm for computing runs.


title: Fermi's golden rule for $N$-body systems in a black-body radiation

abstract:
  We review the calculation of Fermi's golden rule for a system of $N$-body
dipoles, magnetic or electric, weakly interacting with a blackbody radiation.
By using the magnetic or electric field-field correlation function evaluated in
the 1960s for the black body radiation, we deduce a general formula for the
transition rates and study its limiting, fully coherent or fully incoherent,
regimes.

categories: quant-ph cond-mat.stat-mech math-ph math.MP physics.atom-ph


title:
Coordinated Broadcast-based Request-Reply and Group Management for
  Tightly-Coupled Wireless Systems

abstract:
  As the domain of cyber-physical systems continues to grow, an increasing
number of tightly-coupled distributed applications will be implemented on top
of wireless networking technologies. Some of these applications, including
collaborative robotic teams, work in a coordinated fashion, whereby a
distinguished node takes control decisions and sends commands to other nodes,
which in turn perform the requested action/operation and send back a
reply/acknowledgment. The implementation of such interactions via reliable
point-to-point flows may lead to a significant performance degradation due to
collisions, especially when the system operates close to the capacity of the
communication channel. We propose a coordinated protocol which exploits the
broadcast nature of the wireless medium in order to support this
application-level interaction with a minimal number of message transmissions
and predictable latency. The protocol also comes with group management
functionality, allowing new processes to join and existing processes to leave
the group in a controlled way. We evaluate a prototype implementation over
WiFi, using a simulated setup as well as a physical testbed. Our results show
that the proposed protocol can achieve significantly better performance
compared to point-to- point approaches, and remains fully predictable and
dependable even when operating close to the wireless channel capacity.


title:
Stability of High-Density Two-Dimensional Excitons against a Mott
  Transition in High Magnetic Fields Probed by Coherent Terahertz Spectroscopy

abstract:
  We have performed time-resolved terahertz absorption measurements on
photoexcited electron-hole pairs in undoped GaAs quantum wells in magnetic
fields. We probed both unbound- and bound-carrier responses via cyclotron
resonance and intraexciton resonance, respectively. The stability of excitons,
monitored as the pair density was systematically increased, was found to
dramatically increase with increasing magnetic field. Specifically, the
1$s$-2$p_-$ intraexciton transition at 9 T persisted up to the highest density,
whereas the 1$s$-2$p$ feature at 0 T was quickly replaced by a free-carrier
Drude response. Interestingly, at 9 T, the 1$s$-2$p_-$ peak was replaced by
free-hole cyclotron resonance at high temperatures, indicating that 2D
magnetoexcitons do dissociate under thermal excitation, even though they are
stable against a density-driven Mott transition.


title: Hereditary triangulated categories

abstract:
  We call a triangulated category \emph{hereditary} provided that it is
equivalent to the bounded derived category of a hereditary abelian category,
where the equivalence is required to commute with the translation functors. If
the triangulated category is algebraical, we may replace the equivalence by a
triangle equivalence. We give two intrinsic characterizations of hereditary
triangulated categories using a certain full subcategory and the non-existence
of certain paths. We apply them to piecewise hereditary algebras.


title: Inferring Covariances for Probabilistic Programs

abstract:
  We study weakest precondition reasoning about the (co)variance of outcomes
and the variance of run-times of probabilistic programs with conditioning. For
outcomes, we show that approximating (co)variances is computationally more
difficult than approximating expected values. In particular, we prove that
computing both lower and upper bounds for (co)variances is
$\Sigma^{0}_{2}$-complete. As a consequence, neither lower nor upper bounds are
computably enumerable. We therefore present invariant-based techniques that do
enable enumeration of both upper and lower bounds, once appropriate invariants
are found. Finally, we extend this approach to reasoning about run-time
variances.


title:
A parallelizable sampling method for parameter inference of large
  biochemical reaction models

abstract:
  The development of mechanistic models of biological systems is a central part
of Systems Biology. One major task in developing these models is the inference
of the correct model parameters. Due to the size of most realistic models and
their possibly complex dynamical behaviour one must usually rely on sample
based methods. In this paper we present a novel algorithm that reliably
estimates model parameters for deterministic as well as stochastic models from
trajectory data. Our algorithm samples iteratively independent particles from
the level sets of the likelihood and recovers the posterior from these level
sets. The presented approach is easily parallelizable and, by utilizing density
estimation through Dirichlet Process Gaussian Mixture Models, can deal with
high dimensional parameter spaces. We illustrate that our algorithm is
applicable to large, realistic deterministic and stochastic models and succeeds
in inferring the correct posterior from a given number of observed
trajectories. This algorithm presents a novel, computationally feasible
approach to identify parameters of large biochemical reaction models based on
sample path data.


title:
Out-of-Sample Extension for Dimensionality Reduction of Noisy Time
  Series

abstract:
  This paper proposes an out-of-sample extension framework for a global
manifold learning algorithm (Isomap) that uses temporal information in
out-of-sample points in order to make the embedding more robust to noise and
artifacts. Given a set of noise-free training data and its embedding, the
proposed framework extends the embedding for a noisy time series. This is
achieved by adding a spatio-temporal compactness term to the optimization
objective of the embedding. To the best of our knowledge, this is the first
method for out-of-sample extension of manifold embeddings that leverages timing
information available for the extension set. Experimental results demonstrate
that our out-of-sample extension algorithm renders a more robust and accurate
embedding of sequentially ordered image data in the presence of various noise
and artifacts when compared to other timing-aware embeddings. Additionally, we
show that an out-of-sample extension framework based on the proposed algorithm
outperforms the state of the art in eye-gaze estimation.


title: High-$p_T$ multi-jet final states at ATLAS and CMS

abstract:
  The increase of the centre-of-mass energy of the Large Hadron Collider (LHC)
to 13 TeV has opened up a new energy regime. Final states including
high-momentum multi-jet signatures often dominate beyond standard model
phenomena, in particular decay products of new heavy particles. While the
potential di-photon resonance currently receives a lot of attention, multi-jet
final states pose strong constraints on what physics model an observation could
actually be described with. In this presentation, the latest results of the
ATLAS and CMS collaborations in high transverse momentum multi-jet final states
are summarised. This includes searches for heavy resonances and new phenomena
in the di-jet mass spectrum, di-jet angular distributions, and the sum of
transverse momenta in different event topologies. Furthermore, results on
leptoquark pair production will be shown. A particular focus is laid on the
different background estimation methods.


title: How quantum mechanics probes superspace

abstract:
  We study the relation between the partition function of a non--relativistic
particle, that describes the equilibrium fluctuations implicitly, and the
partition function of the same system, deduced from the Langevin equation, that
describes the fluctuations explicitly, of a bath with additive white--noise
properties. We show that both can be related to the partition function of an
${\mathcal N}=1$ supersymmetric theory with one--dimensional bosonic
worldvolume and that they can all describe the same physics, since the
correlation functions of the observables satisfy the same identities for all
systems.The supersymmetric theory provides the consistent closure for
describing the fluctuations, even though supersymmetry may be broken, when
their backreaction is taken into account. The trajectory of the classical
particle becomes a component of a superfield, when fluctuations are taken into
account. These statements can be tested by the identities the correlation
functions satisfy, by using a lattice regularization of an action that
describes commuting fields only.

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


title:
Probing dust-obscured star formation in the most massive Gamma-Ray Burst
  host galaxies

abstract:
  Due to their relation to massive stars, long-duration gamma-ray bursts (GRBs)
allow pinpointing star formation in galaxies independently of redshift, dust
obscuration, or galaxy mass/size, thus providing a unique tool to investigate
the star-formation history over cosmic time. About half of the optical
afterglows of long-duration GRBs are missed due to dust extinction, and are
primarily located in the most massive GRB hosts. In order to understand this
bias it is important to investigate the amount of obscured star-formation in
these GRB host galaxies. Radio emission of galaxies correlates with
star-formation, but does not suffer extinction as do the optical star-formation
estimators. We selected 11 GRB host galaxies with either large stellar mass or
large UV-/optical-based star-formation rates (SFRs) and obtained radio
observations of these with the Australia Telescope Compact Array and the Karl
Jansky Very Large Array. Despite intentionally selecting GRB hosts with
expected high SFRs, we do not find any star-formation-related radio emission in
any of our targets. Our upper limit for GRB 100621A implies that the earlier
reported radio detection was due to afterglow emission. We do detect radio
emission from the position of GRB 020819B, but argue that it is in large parts,
if not all, due to afterglow contamination. Half of our sample has
radio-derived SFR limits which are only a factor 2--3 above the optically
measured SFRs. This supports other recent studies that the majority of star
formation in GRB hosts is not obscured by dust.


title:
The clustering properties of radio-selected AGN and star-forming
  galaxies up to redshifts z~3

abstract:
  We present the clustering properties of a complete sample of 968 radio
sources detected at 1.4 GHz by the VLA-COSMOS survey with radio fluxes brighter
than 0.15 mJy. 92% have redshift determinations from the Laigle et al. (2016)
catalogue. Based on their radio-luminosity, these objects have been divided
into two populations of 644 AGN and 247 star-forming galaxies. By fixing the
slope of the auto-correlation function to gamma=2, we find
r_0=11.7^{+1.0}_{-1.1} Mpc for the clustering length of the whole sample, while
r_0=11.2^{+2.5}_{-3.3} Mpc and r_0=7.8^{+1.6}_{-2.1} Mpc (r_0=6.8^{+1.4}_{-1.8}
Mpc if we restrict our analysis to z<0.9) are respectively obtained for AGN and
star-forming galaxies. These values correspond to minimum masses for dark
matter haloes of M_min=10^[13.6^{+0.3}_{-0.6}] M_sun for radio-selected AGN and
M_min=10^[13.1^{+0.4}_{-1.6}] M_sun for radio-emitting star-forming galaxies
(M_min=10^[12.7^{+0.7}_{-2.2}] M_sun for z<0.9). Comparisons with previous
works imply an independence of the clustering properties of the AGN population
with respect to both radio luminosity and redshift. We also investigate the
relationship between dark and luminous matter in both populations. We obtain
<M*>/M_halo<~10^{-2.7} for AGN, and <M*>/M_halo<~10^{-2.4} in the case of
star-forming galaxies. Furthermore, if we restrict to z<~0.9 star-forming
galaxies, we derive <M*>/M_halo<~10^{-2.1}, result which clearly indicates the
cosmic process of stellar build-up as one moves towards the more local
universe. Comparisons between the observed space density of radio-selected AGN
and that of dark matter haloes shows that about one in two haloes is associated
with a black hole in its radio-active phase. This suggests that the
radio-active phase is a recurrent phenomenon.


title: Electric charge in the stochastic electric field

abstract:
  The influence of electric stochastic fields on the relativistic charged
particles is investigated in the gauge invariant path integral formalism. Using
the cumulant expansion one finds the exponential relaxation of the charge
Green's function both for spinless and Dirac charges.


title:
Interpreting extracted rules from ensemble of trees: Application to
  computer-aided diagnosis of breast MRI

abstract:
  High predictive performance and ease of use and interpretability are
important requirements for the applicability of a computer-aided diagnosis
(CAD) to human reading studies. We propose a CAD system specifically designed
to be more comprehensible to the radiologist reviewing screening breast MRI
studies. Multiparametric imaging features are combined to produce a CAD system
for differentiating cancerous and non-cancerous lesions. The complete system
uses a rule-extraction algorithm to present lesion classification results in an
easy to understand graph visualization.


title: Charmless $B_s^0$ decays at Belle

abstract:
  We report on recent results on charmless hadronic and radiative rare $B_s^0$
decays, based on the data collected by the Belle experiment at the KEKB
$e^+e^-$ collider. These include the studies of $B_s^0\rightarrow
K^0\bar{K^0}$, $B_s^0\rightarrow\phi\gamma$ and $B_s^0\rightarrow\gamma\gamma$.


title: $\mathbb{Z}_2$ invariance of Germanene on MoS$_2$ from first principles

abstract:
  We present a low energy Hamiltonian generalized to describe how the energy
bands of germanene ($\rm \overline{Ge}$) are modified by interaction with a
substrate or a capping layer. The parameters that enter the Hamiltonian are
determined from first-principles relativistic calculations for $\rm
\overline{Ge}|$MoS$_2$ bilayers and MoS$_2|\rm \overline{Ge} |$MoS$_2$
trilayers and are used to determine the topological nature of the system. For
the lowest energy, buckled germanene structure, the gap depends strongly on how
germanene is oriented with respect to the MoS$_2$ layer(s). Topologically
non-trivial gaps for bilayers and trilayers can be almost as large as for a
free-standing germanene layer.


title:
Bayesian forecasting and scalable multivariate volatility analysis using
  simultaneous graphical dynamic models

abstract:
  The recently introduced class of simultaneous graphical dynamic linear models
(SGDLMs) defines an ability to scale on-line Bayesian analysis and forecasting
to higher-dimensional time series. This paper advances the methodology of
SGDLMs, developing and embedding a novel, adaptive method of simultaneous
predictor selection in forward filtering for on-line learning and forecasting.
The advances include developments in Bayesian computation for scalability, and
a case study in exploring the resulting potential for improved short-term
forecasting of large-scale volatility matrices. A case study concerns financial
forecasting and portfolio optimization with a 400-dimensional series of daily
stock prices. Analysis shows that the SGDLM forecasts volatilities and
co-volatilities well, making it ideally suited to contributing to quantitative
investment strategies to improve portfolio returns. We also identify
performance metrics linked to the sequential Bayesian filtering analysis that
turn out to define a leading indicator of increased financial market stresses,
comparable to but leading the standard St. Louis Fed Financial Stress Index
(STLFSI) measure. Parallel computation using GPU implementations substantially
advance the ability to fit and use these models.


title:
Dynamics and sparsity in latent threshold factor models: A study in
  multivariate EEG signal processing

abstract:
  We discuss Bayesian analysis of multivariate time series with dynamic factor
models that exploit time-adaptive sparsity in model parametrizations via the
latent threshold approach. One central focus is on the transfer responses of
multiple interrelated series to underlying, dynamic latent factor processes.
Structured priors on model hyper-parameters are key to the efficacy of dynamic
latent thresholding, and MCMC-based computation enables model fitting and
analysis. A detailed case study of electroencephalographic (EEG) data from
experimental psychiatry highlights the use of latent threshold extensions of
time-varying vector autoregressive and factor models. This study explores a
class of dynamic transfer response factor models, extending prior Bayesian
modeling of multiple EEG series and highlighting the practical utility of the
latent thresholding concept in multivariate, non-stationary time series
analysis.


title: Studies of entropy measures concerning the gaps of prime numbers

abstract:
  The Shannon entropy is used as a basis for applying different lemmas and
conjectures concerning the set of gaps between prime numbers G_p , thus
estimating several measures of it. The same procedures are applied to
artificially created number sets, to compare the size of their entropy against
G_p .


title:
Ligand-receptor binding kinetics in surface plasmon resonance cells: A
  Monte Carlo analysis

abstract:
  Surface plasmon resonance (SPR) chips are widely used to measure association
and dissociation rates for the binding kinetics between two species of
chemicals, e.g., cell receptors and ligands. It is commonly assumed that
ligands are spatially well mixed in the SPR region, and hence a mean-field rate
equation description is appropriate. This approximation however ignores the
spatial fluctuations as well as temporal correlations induced by multiple local
rebinding events, which become prominent for slow diffusion rates and high
binding affinities. We report detailed Monte Carlo simulations of ligand
binding kinetics in an SPR cell subject to laminar flow. We extract the binding
and dissociation rates by means of the techniques frequently employed in
experimental analysis that are motivated by the mean-field approximation. We
find major discrepancies in a wide parameter regime between the thus extracted
rates and the known input simulation values. These results underscore the
crucial quantitative importance of spatio-temporal correlations in binary
reaction kinetics in SPR cell geometries, and demonstrate the failure of a
mean-field analysis of SPR cells in the regime of high Damk\"ohler number Da >
0.1, where the spatio-temporal correlations due to diffusive transport and
ligand-receptor rebinding events dominate the dynamics of SPR systems.


title: Constraints on rainbow gravity functions from black hole thermodynamics

abstract:
  In this paper, we investigate the thermodynamic properties of black holes in
the framework of rainbow gravity. By considering rainbow functions in the
metric of Schwarzschild and Reissner-Nordstr\"{o}m black holes, remnant and
critical masses are found to exist. Demanding the universality of logarithmic
corrections to the semi-classical area law for the entropy leads to
constraining the form of the rainbow functions. The mass output and the
radiation rate for these constrained form of rainbow functions have been
computed for different values of the rainbow parameter $\eta$ and have striking
similarity to those derived from the generalized uncertainty principle.


title:
From GLC to double-null coordinates and illustration with static black
  holes

abstract:
  We present a system of coordinates deriving directly from the so-called
Geodesic Light-Cone (GLC) coordinates and made of two null scalars intersecting
on a 2-dimensional sphere parameterized by two constant angles along geodesics.
These coordinates are shown to be equivalent to the well-known double-null
coordinates. As GLC, they present interesting properties for cosmology and
astrophysics. We discuss this latter topic for static black holes, showing
simple descriptions for the metric or particles and photons trajectories. We
also briefly comment on the time of flight of ultra-relativistic particles.


title:
Computer-assisted workflows composition based on Virtual Simulation
  Objects technology

abstract:
  The existing approaches for scientific workflows composition face the
problems of domain knowledge integration. By this paper we summarize the
results, which have been elaborated and implemented during the 2-year research
concerning to Virtual Simulation Objects (VSO) concept and technology
development. The contribution of this paper consists of formal models of the
VSO internal structures and user-assistance logic, which may be obtained as a
result of the reasoning over knowledge base. (This paper was rejected to appear
in "Recent Advances in Knowledge Based Technologies and Applications" by
Hindawi in 2014, but was stolen and published by Ke Han under the name "The
Study on Workflows Composition Based on Virtual Simulation Objects Technology")


title:
Multivariate type G Mat\'ern stochastic partial differential equation
  random fields

abstract:
  For many applications with multivariate data, random field models capturing
departures from Gaussianity within realisations are appropriate. For this
reason, we formulate a new class of multivariate non-Gaussian models based on
systems of stochastic partial differential equations with additive type G noise
whose marginal covariance functions are of Mat\'ern type. We consider four
increasingly flexible constructions of the noise, where the first two are
similar to existing copula-based models. In contrast to these, the latter two
constructions can model non-Gaussian spatial data without replicates.
Computationally efficient methods for likelihood-based parameter estimation and
probabilistic prediction are proposed, and the flexibility of the suggested
models is illustrated by numerical examples and two statistical applications.


title: ISI-Aware Modeling and Achievable Rate Analysis of the Diffusion Channel

abstract:
  Analyzing the achievable rate of molecular communication via diffusion (MCvD)
inherits intricacies due to its nature: MCvD channel has memory, and the heavy
tail of the signal causes inter symbol interference (ISI). Therefore, using
Shannon's channel capacity formulation for memoryless channel is not
appropriate for the MCvD channel. Instead, a more general achievable rate
formulation and system model must be considered to make this analysis
accurately. In this letter, we propose an effective ISI-aware MCvD modeling
technique in 3-D medium and properly analyze the achievable rate.


title: Can gravity be repulsive?

abstract:
  General Relativity has had tremendous successes on both theoretical and
experimental fronts for over a century by now. However, the theory contents are
far from being exhausted. Only very recently, with gravitational wave detection
from colliding black holes, have we started probing gravity behavior in the
strongly non-linear regime. Even today, black hole studies keep revealing more
and more paradoxes and bizarre results. In this paper, inspired by David
Hilbert's startling observation, we show that, contrary to the conventional
wisdom, a freely falling test particle feels gravitational repulsion by a black
hole as seen by an asymptotic observer. We dig deeper into this relativistic
gravity surprising behavior and offer some explanations.


title: Robust AC Quantum Spin Hall Effect without Participation of Edge States

abstract:
  The quantum spin Hall (QSH) effect in the DC regime, which has been
intensively researched, relies on the existence of symmetry-protected edge
states. Here, we demonstrate that a QSH system behaves quite differently in
response to an applied AC electric field, and put forward the idea of AC QSH
effect. The AC QSH effect can occur in the bulk without involving the fragile
edge states, hence being robust against time-reversal symmetry breaking and
disorder. It lays a more solid foundation for practical applications of the
two-dimensional topological insulators, in the emerging field of AC
spintronics.


title: Surface-wave photonic quasicrystal

abstract:
  In developing strategies of manipulating surface electromagnetic waves, it
has been recently recognized that a complete forbidden band gap can exist in a
periodic surface-wave photonic crystal, which has subsequently produced various
surface-wave photonic devices. However, it is not obvious whether such a
concept can be extended to a non-periodic surface-wave system that lacks
translational symmetry. Here we experimentally demonstrate that a surface-wave
photonic quasicrystal that lacks periodicity can also exhibit a forbidden band
gap for surface electromagnetic waves. The lower cutoff of this forbidden band
gap is mainly determined by the maximum separation between nearest neighboring
pillars. Point defects within this band gap show distinct properties compared
to a periodic photonic crystal for the absence of translational symmetry. A
line-defect waveguide, which is crafted out of this surface-wave photonic
quasicrystal by shortening a random row of metallic rods, is also demonstrated
to guide and bend surface waves around sharp corners along an irregular
waveguiding path.


title:
On the Statistical Model of Source Localization based on Range
  Difference Measurements

abstract:
  In this work we study the statistical model of source localization based on
Range Difference measurements. We investigate the case of planar localization
of a source using a minimal configuration of three non aligned receivers. Our
analysis is based on a previous work of the same authors concerning the
localization in a noiseless scenario. As the set of feasible measurements is a
semialgebraic variety, this investigation makes use of techniques from
Algebraic Statistics and Information Geometry.


title:
Isentropic 'shock waves' in numerical simulations of astrophysical
  bodies

abstract:
  Strong discontinuities in solutions of the gas dynamic equations under
isentropic conditions, i.e., with continuity of entropy at the discontinuity,
are examined. Solutions for a standard shock wave with continuity of energy at
the discontinuity are compared with those for an isentropic 'shock wave'. It is
shown that numerical simulation of astrophysical problems in which
high-amplitude shock waves are encountered (supernova explosions, modelling of
jets) with conservation of entropy, rather than of energy, leads to large
errors in the shock calculations. The isentropic equations of gas dynamics can
be used only when there are no strong discontinuities in the solution or when
the intensity of the shocks is not high and they do not significantly affect
the flow.


title: Synchronized flutter of two slender flags

abstract:
  The interactions and synchronization of two parallel and slender flags in a
uniform axial flow are studied in the present paper by generalizing Lighthill's
Elongated Body Theory (EBT) and Lighthill's Large Amplitude Elongated Body
Theory (LAEBT) to account for the hydrodynamic coupling between flags. The
proposed method consists in two successive steps, namely the reconstruction of
the flow created by a flapping flag within the LAEBT framework and the
computation of the fluid force generated by this nonuniform flow on the second
flag. In the limit of slender flags in close proximity, we show that the effect
of the wakes have little influence on the long time coupled-dynamics and can be
neglected in the modeling. This provides a simplified framework extending LAEBT
to the coupled dynamics of two flags. Using this simplified model, both linear
and large amplitude results are reported to explore the selection of the
flapping regime as well as the dynamical properties of two side-by-side slender
flags. Hydrodynamic coupling of the two flags is observed to destabilize the
flags for most parameters, and to induce a long-term synchronization of the
flags, either in-phase or out-of-phase.


title:
Photoabsorption in Sodium Clusters: First Principles Configuration
  Interaction Calculations

abstract:
  We present systematic and comprehensive correlated-electron calculations of
the linear photoabsorption spectra of small neutral closed- and open-shell
sodium clusters (Na_{n}, n=2-6), as well as closed-shell cation clusters
(Na_{n}^{+}, n=3, 5). We have employed the configuration interaction (CI)
methodology at the full CI (FCI) and quadruple CI (QCI) levels to compute the
ground, and the low-lying excited states of the clusters. For most clusters,
besides the minimum energy structures, we also consider their energetically
close isomers. The photoabsorption spectra were computed under the
electric-dipole approximation, employing the dipole-matrix elements connecting
the ground state with the excited states of each isomer. Our calculations were
tested rigorously for convergence with respect to the basis set, as well as
with respect to the size of the active orbital space employed in the CI
calculations. These calculations reveal that as far as electron-correlation
effects are concerned, core excitations play an important role in determining
the optimized ground state geometries of various clusters, thereby requiring
all-electron correlated calculations. But, when it comes to low-lying optical
excitations, only valence electron correlation effects play an important role,
and excellent agreement with the experimental results is obtained within the
frozen-core approximation. For the case of Na_{6}, the largest cluster studied
in this work, we also discuss the possibility of occurrence of plasmonic
resonance in the optical absorption spectrum.


title: Complexity Growth for AdS Black Holes

abstract:
  Recently a Complexity-Action (CA) duality conjecture has been proposed, which
relates the quantum complexity of a holographic boundary state to the action of
a Wheeler-DeWitt (WDW) patch in the anti-de Sitter (AdS) bulk. In this paper we
further investigate the duality conjecture for stationary AdS black holes and
derive some exact results for the growth rate of action within the
Wheeler-DeWitt (WDW) patch at late time approximation, which is supposed to be
dual to the growth rate of quantum complexity of holographic state. Based on
the results from the general $D$-dimensional Reissner-Nordstr\"{o}m (RN)-AdS
black hole, rotating/charged Ba\~{n}ados-Teitelboim-Zanelli (BTZ) black hole,
Kerr-AdS black hole and charged Gauss-Bonnet-AdS black hole, we present a
universal formula for the action growth expressed in terms of some
thermodynamical quantities associated with the outer and inner horizons of the
AdS black holes. And we leave the conjecture unchanged that the stationary AdS
black hole in Einstein gravity is the fastest computer in nature.


title: Stability of a skyrmion and interaction of magnons

abstract:
  The stability of a single Belavin-Polyakov (BP) skyrmion in isotropic
Heisenberg ferromagnet is studied. Such skyrmion is higher in energy than the
uniform ferromagnetic state and is thus metastable. Starting from the lattice
model in two spatial dimensions and using Maleyev-Dyson representation for spin
operators, we examine the effects of magnon-magnon interaction for two
quantities at $T=0$. First we discuss the self-energy corrections to magnon
energy. Second we analyze the two-particle Green's function and possible bound
states of two magnons. The simplicity of the model makes possible full analytic
treatment of all relevant processes. We found that the magnons remain
well-defined quasiparticles with a finite lifetime. The bound states of two
magnons are suppressed near the skyrmion, although they are not excluded far
away from it. A resonance for the magnons of dilational mode in the vicinity of
BP skyrmion is also found, which leads to a redistribution of the spectral
weight. We conclude that the BP skyrmion as the classical topological object is
not destroyed by quantum fluctuations.


title:
Born-Infeld Thin-shell Wormholes Supported by Generalized Cosmic
  Chaplygin Gas

abstract:
  This paper investigates thin-shell wormholes in Born-Infeld theory supported
by generalized Cosmic Chaplygin gas (GCCG). We study their stability via radial
perturbations for distinct values of charge and Born-Infeld parameter. The
comparison of wormhole solutions corresponding to generalized Chaplygin gas,
modified Chaplygin gas with GCCG quation of state is established. It is found
that similar type of wormhole solutions exists for small value of charge and
Born-Infeld parameter for all type of equation of state, while some extra
stable as well as unstable solution are found corresponding to large value of
charge and Born-Infeld parameter. Thus, it is concluded that GCCG and large
value of charge may responsible for such extra solutions.


title:
Coordinated Analysis of Two Graphite Grains from the CO3.0 LAP 031117
  Meteorite: First Identification of a CO Nova Graphite and a Presolar Iron
  Sulfide Subgrain

abstract:
  Presolar grains constitute remnants of stars that existed before the
formation of the solar system. In addition to providing direct information on
the materials from which the solar system formed, these grains provide
ground-truth information for models of stellar evolution and nucleosynthesis.
Here we report the in-situ identification of two unique presolar graphite
grains from the primitive meteorite LaPaz Icefield 031117. Based on these two
graphite grains, we estimate a bulk presolar graphite abundance of 5(-3)(+7)
ppm in this meteorite. One of the grains (LAP-141) is characterized by an
enrichment in 12C and depletions in 33,34S, and contains a small iron sulfide
subgrain, representing the first unambiguous identification of presolar iron
sulfide. The other grain (LAP-149) is extremely 13C-rich and 15N-poor, with one
of the lowest 12C/13C ratios observed among presolar grains. Comparison of its
isotopic compositions with new stellar nucleosynthesis and dust condensation
models indicates an origin in the ejecta of a low-mass CO nova. Grain LAP-149
is the first putative nova grain that quantitatively best matches nova model
predictions, providing the first strong evidence for graphite condensation in
nova ejecta. Our discovery confirms that CO nova graphite and presolar iron
sulfide contributed to the original building blocks of the solar system.


title:
Visualization of one-dimensional diffusion and spontaneous segregation
  of hydrogen in single crystals of VO2

abstract:
  Hydrogen intercalation in solids is common, complicated, and very difficult
to monitor. In a new approach to the problem, we have studied the profile of
hydrogen diffusion in single-crystal nanobeams and plates of VO2, exploiting
the fact that hydrogen doping in this material leads to visible darkening near
room temperature connected with the metal-insulator transition at 65 {\deg}C.
We observe hydrogen diffusion along the rutile c-axis but not perpendicular to
it, making this a highly one-dimensional diffusion system. We obtain an
activated diffusion coefficient, ~0.01 e^(-0.6 eV/k_B T) cm2sec-1, applicable
in metallic phase. In addition, we observe dramatic supercooling of the
hydrogen-induced metallic phase and spontaneous segregation of the hydrogen
into stripes implying that the diffusion process is highly nonlinear, even in
the absence of defects. Similar complications may occur in hydrogen motion in
other materials but are not revealed by conventional measurement techniques.


title:
Quantum nonlinear dynamics of optomechanical systems in the strong
  coupling regime

abstract:
  With an increasing coupling between light and mechanics, nonlinearities begin
to play an important role in optomechanics. We solve the quantum dynamics of an
optomechanical system in the multi-photon strong coupling regime retaining
nonlinear terms. This is achieved by performing a Schrieffer-Wolff
transformation on the Hamiltonian including driving terms. The approach is
valid away from the red- and blue-sideband drive. We show that the mechanical
resonator displays self-sustained oscillations in regimes where the linearized
model predicts instabilities, and that the amplitude of these oscillations is
limited by the nonlinear terms. Related oscillations of the photon number are
present due to frequency mixing of the shifted mechanical and cavity
frequencies. This leads to additional peaks in the cavity's power spectral
density. Furthermore, we show that it is possible to create phonon states with
sub-Poissonian statistics when the system is red-detuned. This result is valid
even with strong driving and with initial coherent states.


title:
Integrated Information and Metastability in Systems of Coupled
  Oscillators

abstract:
  It has been shown that sets of oscillators in a modular network can exhibit a
rich variety of metastable chimera states, in which synchronisation and
desynchronisation coexist. Independently, under the guise of integrated
information theory, researchers have attempted to quantify the extent to which
a complex dynamical system presents a balance of integrated and segregated
activity. In this paper we bring these two areas of research together by
showing that the system of oscillators in question exhibits a critical peak of
integrated information that coincides with peaks in other measures such as
metastability and coalition entropy.


title:
The integrated model of cAMP-dependent DNA expression reveals an inverse
  relationship between cancer and neurodegeneration

abstract:
  The model for cAMP-dependent synaptic plasticity relates the characterization
of a noradrenaline-stimulated adenylyl cyclase with DNA unzipping. Specific
proteins condition cAMP insertion in specific sites of the DNA structure to
direct cellular and synaptic differentiation in brain tissues, also providing
coding. Metabolic-dependent ATP binding of Mg2+, could control feedback by
inactivating AC dependent formation of cAMP. The level of cAMP and cGMP, which
could be assayed in red cells and cerebrospinal fluid, allows a clinical lab
diagnostic improvement. Also, provides a relationship of best fitting to cAMP
control by binding to DNA. The cAMP level allows the prediction of an inverse
relationship between neurodegeneration and cancer. The latter, could be
characterized by uncontrolled proliferation, whereas metabolic dominance by
stress over a long period of time, may deplete cerebral cAMP.


title: Depth Estimation from Single Image using Sparse Representations

abstract:
  Monocular depth estimation is an interesting and challenging problem as there
is no analytic mapping known between an intensity image and its depth map.
Recently there has been a lot of data accumulated through depth-sensing
cameras, in parallel to that researchers started to tackle this task using
various learning algorithms. In this paper, a deep sparse coding method is
proposed for monocular depth estimation along with an approach for
deterministic dictionary initialization.


title: Magnetic Bubble Domain Blowing with Electric Probe

abstract:
  The problem of bubble domain generation is revisited from a new perspective
that was opened by recent findings in the field of physics of magnetic
skyrmions. The single bubble domain can be generated under the tip electrode
touching the surface of dielectric iron garnet film by positive step-like
voltage pulse and its equilibrium size can be increased with further rising of
electric potential. The theoretical analysis shows that the same mechanism can
be used to stabilize the submicron bubbles topologically equivalent to the
skyrmion.


title:
$\eta_c$ production associated with light hadrons at the B-factories and
  the future super B-factories

abstract:
  We present a complete study of the associated production of the $\eta_c$
meson with light hadrons in $e^+e^-$ collisions at the B-factory energy, which
is demonstrated to be one of the best laboratories for testing the colour-octet
(CO) mechanism. The colour-siglet contributions are evaluated up to
$O(\alpha^2\alpha_s^3)$ while the CO ones are evaluated up to
$O(\alpha^2\alpha_s^2)$. For the first time, the angular distribution of the
$^1S_0^{[8]}$ production is studied at QCD next-to-leading order. We find that
the $^1S_0^{[8]}$ channel dominate the total cross section, while the
$^1P_1^{[8]}$ one exhibit its importance in the angular distribution, which
turns out to be downward going with respect to $\mathrm{cos}\theta$. This can
be considered as the most distinct signal for the CO mechanism.


title: Topological Lifshitz transitions

abstract:
  Different types of Lifshitz transitions are governed by topology in momentum
space. They involve the topological transitions with the change of topology of
Fermi surfaces, Weyl and Dirac points, nodal ines, and also the transitions
between the fully gapped states.


title:
Adaptive FEM with coarse initial mesh guarantees optimal convergence
  rates for compactly perturbed elliptic problems

abstract:
  We prove that for compactly perturbed elliptic problems, where the
corresponding bilinear form satisfies a Garding inequality, adaptive
mesh-refinement is capable of overcoming the preasymptotic behavior and
eventually leads to convergence with optimal algebraic rates. As an important
consequence of our analysis, one does not have to deal with the a-priori
assumption that the underlying meshes are sufficiently fine. Hence, the overall
conclusion of our results is that adaptivity has stabilizing effects and can
overcome possibly pessimistic restrictions on the meshes. In particular, our
analysis covers adaptive mesh-refinement for the finite element discretization
of the Helmholtz equation from where our interest originated.


title: The smooth Riemannian extension problem

abstract:
  Given a metrically complete Riemannian manifold $(M,g)$ with smooth nonempty
boundary and assuming that one of its curvatures is subject to a certain bound,
we address the problem of whether it is possibile to realize $(M,g)$ as a
domain inside a geodesically complete Riemannian manifold $(M',g')$ without
boundary, by preserving the same curvature bounds. In this direction we provide
three kind of results: (1) a general existence theorem showing that it is
always possible to obtain a geodesically complete Riemannian extension without
curvature constraints; (2) various topological obstructions to the existence of
a complete Riemannian extension with prescribed sectional and Ricci curvature
bounds; (3) some existence results of complete Riemannian extensions with
sectional and Ricci curvature bounds, mostly in the presence of a convexity
condition on the boundary.


title:
Regular variation of a random length sequence of random variables and
  application to risk assessment

abstract:
  When assessing risks on a finite-time horizon, the problem can often be
reduced to the study of a random sequence $C(N)=(C_1,\ldots,C_N)$ of random
length $N$, where $C(N)$ comes from the product of a matrix $A(N)$ of random
size $N \times N$ and a random sequence $X(N)$ of random length $N$. Our aim is
to build a regular variation framework for such random sequences of random
length, to study their spectral properties and, subsequently, to develop risk
measures. In several applications, many risk indicators can be expressed from
the asymptotic behavior of $\vert \vert C(N)\vert\vert$, for some norm $\Vert
\cdot \Vert$. We propose a generalization of Breiman Lemma that gives way to an
asymptotic equivalent to $\Vert C(N) \Vert$ and provides risk indicators such
as the ruin probability and the tail index for Shot Noise Processes on a
finite-time horizon. Lastly, we apply our final result to a model used in
dietary risk assessment and in non-life insurance mathematics to illustrate the
applicability of our method.


title:
Zero sets of Lie algebras of analytic vector fields on real and complex
  2-dimensional manifolds, II

abstract:
  On a real ($\mathbb F=\mathbb R$) or complex ($\mathbb F=\mathbb C$) analytic
connected 2-manifold $M$ with empty boundary consider two vector fields $X,Y$.
We say that $Y$ {\it tracks} $X$ if $[Y,X]=fX$ for some continuous function
$f\colon M\rightarrow\mathbb F$. Let $K$ be a compact subset of the zero set
${\mathsf Z}(X)$ such that ${\mathsf
  Z}(X)-K$ is closed, with nonzero Poincar\'e-Hopf index (for example
$K={\mathsf Z}(X)$ when $M$ is compact and $\chi(M)\neq 0$) and let $\mathcal
G$ be a finite-dimensional Lie algebra of analytic vector fields on $M$.
\smallskip
  {\bf Theorem.} Let $X$ be analytic and nontrivial. If every element of
$\mathcal G$ tracks $X$ and, in the complex case when ${\mathsf i}_K (X)$ is
positive and even no quotient of $\mathcal G$ is isomorphic to ${\mathfrak
{s}}{\mathfrak {l}} (2,\mathbb C)$, then $\mathcal G$ has some zero in $K$.
\smallskip
  {\bf Corollary.} If $Y$ tracks a nontrivial vector field $X$, both of them
analytic, then $Y$ vanishes somewhere in $K$. \smallskip
  Besides fixed point theorems for certain types of transformation groups are
proved. Several illustrative examples are given.


title:
Simultaneous Mode, Input and State Estimation for Switched Linear
  Stochastic Systems

abstract:
  In this paper, we propose a filtering algorithm for simultaneously estimating
the mode, input and state of hidden mode switched linear stochastic systems
with unknown inputs. Using a multiple-model approach with a bank of linear
input and state filters for each mode, our algorithm relies on the ability to
find the most probable model as a mode estimate, which we show is possible with
input and state filters by identifying a key property, that a particular
residual signal we call generalized innovation is a Gaussian white noise. We
also provide an asymptotic analysis for the proposed algorithm and provide
sufficient conditions for asymptotically achieving convergence to the true
model (consistency), or to the 'closest' model according to an
information-theoretic measure (convergence). A simulation example of
intention-aware vehicles at an intersection is given to demonstrate the
effectiveness of our approach.


title: Links with finite $n$-quandles

abstract:
  We prove a conjecture of Przytycki which asserts that the $n$-quandle of a
link $L$ in the 3-sphere is finite if and only if the fundamental group of the
$n$-fold cyclic branched cover of the 3-sphere, branched over $L$, is finite.


title: An identity for derivatives

abstract:
  We present a generalization of a formula of higher order derivatives and give
a short proof.


title:
Aristotle's square of opposition in the light of Hilbert's epsilon and
  tau quantifiers

abstract:
  Aristotle considered particular quantified sentences in his study of
syllogisms and in his famous square of opposition. Of course, the logical
formulas in Aristotle work were not modern formulas of mathematical logic, but
ordinary sentences of natural language. Nowadays natural language sentences are
turned into formulas of predicate logic as defined by Frege, but, it is not
clear that those Fregean sentences are faithful representations of natural
language sentences. Indeed, the usual modelling of natural language quantifiers
does not fully correspond to natural language syntax, as we shall see. This is
the reason why Hilbert's epsilon and tau quantifiers (that go beyond usual
quantifiers) have been used to model natural language quantifiers. Here we
interpret Aristotle quantified sentences as formulas of Hilbert's epsilon and
tau calculus. This yields to two potential squares of opposition and provided a
natural condition holds, one of these two squares is actually a square of
opposition i.e. satisfies the relations of contrary, contradictory, and
subalternation.


title: A kind of orthogonal polynomials and related identities

abstract:
  In this paper we introduce the polynomials $\{d_n^{(r)}(x)\}$ and
$\{D_n^{(r)}(x)\}$ given by
$d_n^{(r)}(x)=\sum_{k=0}^n\binom{x+r+k}k\binom{x-r}{n-k} \ (n\ge 0)$,
$D_0^{(r)}(x)=1,\ D_1^{(r)}(x)=x$ and
$D_{n+1}^{(r)}(x)=xD_n^{(r)}(x)-n(n+2r)D_{n-1}^{(r)}(x)\ (n\ge 1).$ We show
that $\{D_n^{(r)}(x)\}$ are orthogonal polynomials for $r>-\frac 12$, and
establish many identities for $\{d_n^{(r)}(x)\}$ and $\{D_n^{(r)}(x)\}$,
especially obtain a formula for $d_n^{(r)}(x)^2$ and the linearization formulas
for $d_m^{(r)}(x)d_n^{(r)}(x)$ and $D_m^{(r)}(x)D_n^{(r)}(x)$. As an
application we extend recent work of Sun and Guo.


title:
Maps of sparse Markov chains efficiently reveal community structure in
  network flows with memory

abstract:
  To better understand the flows of ideas or information through social and
biological systems, researchers develop maps that reveal important patterns in
network flows. In practice, network flow models have implied memoryless
first-order Markov chains, but recently researchers have introduced
higher-order Markov chain models with memory to capture patterns in multi-step
pathways. Higher-order models are particularly important for effectively
revealing actual, overlapping community structure, but higher-order Markov
chain models suffer from the curse of dimensionality: their vast parameter
spaces require exponentially increasing data to avoid overfitting and therefore
make mapping inefficient already for moderate-sized systems. To overcome this
problem, we introduce an efficient cross-validated mapping approach based on
network flows modeled by sparse Markov chains. To illustrate our approach, we
present a map of citation flows in science with research fields that overlap in
multidisciplinary journals. Compared with currently used categories in science
of science studies, the research fields form better units of analysis because
the map more effectively captures how ideas flow through science.


title: Real-space mapping of electronic orbitals

abstract:
  Electronic states are responsible for most material properties, including
chemical bonds, electrical and thermal conductivity, as well as optical and
magnetic properties. Experimentally, however, they remain mostly elusive. Here,
we report the real-space mapping of selected transitions between p and d states
on the {\AA}ngstr\"om scale in bulk rutile (TiO2) using electron energy-loss
spectrometry (EELS), revealing information on individual bonds between atoms.
On the one hand, this enables the experimental verification of theoretical
predictions about electronic states. On the other hand, it paves the way for
directly investigating electronic states under conditions that are at the limit
of the current capabilities of numerical simulations such as, e.g., the
electronic states at defects, interfaces, and quantum dots.


title:
Hidden-charm pentaquarks as a meson-baryon molecule with coupled
  channels for $\bar{D}^{(\ast)}\Lambda_{\rm c}$ and
  $\bar{D}^{(\ast)}\Sigma^{(\ast)}_{\rm c}$

abstract:
  The recent observation of two hidden-charm pentaquark states by LHCb
collaborations prompted us to investigate the exotic states close to the
$\bar{D}\Lambda_{\rm c}$, $\bar{D}^{\ast}\Lambda_{\rm c}$, $\bar{D}\Sigma_{\rm
c}$, $\bar{D}\Sigma^{\ast}_{\rm c}$, $\bar{D}^{\ast}\Sigma_{\rm c}$ and
$\bar{D}^{\ast}\Sigma^{\ast}_{\rm c}$ thresholds. We therefore studied the
hadronic molecules that form the coupled-channel system of
$\bar{D}^{(\ast)}\Lambda_{\rm c}$ and
  $\bar{D}^{(\ast)}\Sigma^{(\ast)}_{\rm c}$. As the heavy quark spin symmetry
manifests the mass degenerations of $\bar{D}$ and $\bar{D}^\ast$ mesons, and of
$\Sigma_{\rm c}$ and $\Sigma^\ast_{\rm c}$ baryons, the coupled channels of
$\bar{D}^{(\ast)}\Sigma^{(\ast)}_{\rm c}$ are important in these molecules. In
addition, we consider the coupling to the $\bar{D}^{(\ast)}\Lambda_{\rm c}$
channel whose thresholds are near the $\bar{D}^{(\ast)}\Sigma^{(\ast)}_{\rm c}$
thresholds, and the coupling to the state with nonzero orbital angular momentum
mixed by the tensor force. This full coupled channel analysis of
$\bar{D}^{(\ast)}\Lambda_{\rm c}-\bar{D}^{(\ast)}\Sigma^{(\ast)}_{\rm c}$ with
larger orbital angular momentum has never been performed before. By solving the
coupled-channel Schr\"odinger equations with the one meson exchange potentials
that respected to the heavy quark spin and chiral symmetries, we studied the
hidden-charm hadronic molecules with $I(J^P)=1/2(3/2^\pm)$ and $1/2(5/2^\pm)$.
We conclude that the $J^P$ assignment of the observed pentaquarks is $3/2^+$
for $P^+_{\rm c}(4380)$ and $5/2^-$ for $P^+_{\rm c}(4450)$, which is agreement
with the results of the LHCb analysis. In addition, we give predictions for
other $J^P=3/2^\pm$ states at 4136.0, 4307.9 and 4348.7 MeV in $J^P=3/2^-$, and
4206.7 MeV in $J^P=3/2^+$, which can be further investigated by means of
experiment.


title: A shortcut to the Kovalevskaya curve

abstract:
  We present a systematic way of derivation of the algebraic curves of
separation of variables for the classical Kovalevskaya top and its
generalizations, starting from the spectral curve of the corresponding Lax
representation found by Reyman and Semonov-Tian-Shansky.
  In particular, we show how the known Kovalevskaya curve of separation can be
obtained, by a simple one-step transformation, from the spectral curve.
  The algorithm works for the general constants of motion of the system and is
based on W. Barth's description of Prym varieties via pencils of genus 3
curves. It also allows us to derive new curves of separation of variables in
various generalizations of this system.


title: Achieving quantum-limited optical resolution

abstract:
  We establish a simple method to assess the quantum Fisher information
required for resolving two incoherent point sources with an imaging system. The
resulting Cram\'er-Rao bound shows that the standard Rayleigh limit can be
surpassed by suitable coherent measurements. We explicitly find these optimal
strategies and present a realization for Gaussian and slit apertures. This
involves a projection onto the optimal bases that is accomplished with digital
holographic techniques and is compared with a CCD position measurement. Our
experimental results unequivocally confirm unprecedented sub-Rayleigh
precision.


title: True Lies

abstract:
  A true lie is a lie that becomes true when announced. In a logic of
announcements, where the announcing agent is not modelled, a true lie is a
formula (that is false and) that becomes true when announced. We investigate
true lies and other types of interaction between announced formulas, their
preconditions and their postconditions, in the setting of Gerbrandy's logic of
believed announcements, wherein agents may have or obtain incorrect beliefs.
Our results are on the satisfiability and validity of instantiations of these
semantically defined categories, on iterated announcements, including
arbitrarily often iterated announcements, and on syntactic characterization. We
close with results for iterated announcements in the logic of knowledge
(instead of belief), and for lying as private announcements (instead of public
announcements) to different agents. Detailed examples illustrate our lying
concepts.


title:
Nonreciprocal Transverse Photonic Spin and Magnetization-Induced
  Electromagnetic Spin-Orbit Coupling

abstract:
  A study of nonreciprocal transverse-spin angular-momentum-density shifts for
evanescent waves in magneto-optic waveguide media is presented. Their
functional relation to electromagnetic spin- and orbital-momenta is presented
and analyzed. It is shown that the magneto-optic gyrotropy can be
re-interpreted as the nonreciprocal electromagnetic spin-density shift per unit
energy flux, thus providing an interesting alternative physical picture for the
magneto-optic gyrotropy. The transverse spin-density shift is found to be
thickness-dependent in slab optical waveguides. This dependence is traceable to
the admixture of minority helicity components in the transverse spin angular
momentum. It is also shown that the transverse spin is magnetically tunable. A
formulation of electromagnetic spin-orbit coupling in magneto-optic media is
presented, and an alternative source of spin-orbit coupling to non-paraxial
optics vortices is proposed. It is shown that magnetization-induced
electromagnetic spin-orbit coupling is possible, and that it leads to spin to
orbital angular momentum conversion in magneto-optic media evanescent waves.


title: Some examples of first exit times

abstract:
  The purpose of this article is to compute the expected first exit times of
Brownian motion from a variety of domains in the Euclidean plane and in the
hyperbolic plane.


title: Leptonic $g-2$ moments, CP phases and the Higgs boson mass constraint

abstract:
  Higgs boson mass measurement at $\sim 125$ GeV points to a high scale for
SUSY specifically the scalar masses. If all the scalars are heavy,
supersymmetric contribution to the leptonic $g-2$ moments will be significantly
reduced. On the other hand the Brookhaven experiment indicates a 3sigma
deviation from the standard model prediction. Here we analyze the leptonic
$g-2$ moments in an extended MSSM model with inclusion of a vector like
leptonic generation which brings in new sources of CP violation. In this work
we consider the contributions to the leptonic $g-2$ moments arising from the
exchange of charginos and neutralinos, sleptons and mirror sleptons, and from
the exchange of $W$ and $Z$ bosons and of leptons and mirror leptons. We focus
specifically on the $g-2$ moments for the muon and the electron where sensitive
measurements exist. Here it is shown that one can get consistency with the
current data on $g-2$ under the Higgs boson mass constraint. Dependence of the
moments on CP phases from the extended sector are analyzed and it is shown that
they are sensitively dependent on the phases from the new sector. It is shown
that the corrections to the leptonic moments arising from the extended MSSM
sector will be non-vanishing even if the SUSY scale extends into the PeV
region.


title:
Models of random sparse eigenmatrices matrices and Bayesian analysis of
  multivariate structure

abstract:
  We discuss probabilistic models of random covariance structures defined by
distributions over sparse eigenmatrices. The decomposition of orthogonal
matrices in terms of Givens rotations defines a natural, interpretable
framework for defining distributions on sparsity structure of random
eigenmatrices. We explore theoretical aspects and implications for conditional
independence structures arising in multivariate Gaussian models, and discuss
connections with sparse PCA, factor analysis and Gaussian graphical models.
Methodology includes model-based exploratory data analysis and Bayesian
analysis via reversible jump Markov chain Monte Carlo. A simulation study
examines the ability to identify sparse multivariate structures compared to the
benchmark graphical modelling approach. Extensions to multivariate normal
mixture models with additional measurement errors move into the framework of
latent structure analysis of broad practical interest. We explore the
implications and utility of the new models with summaries of a detailed applied
study of a 20-dimensional breast cancer genomics data set.


title: On approximately left phi-biprojective Banach algebras

abstract:
  In this paper, for a Banach algebra A, we introduced the new notions of
approximately left $\phi$-biprojective and approximately left character
biprojective, where $\phi$ is a non-zero multiplicative linear functional on A.
We show that for SIN group G, Segal algebra S(G) is approximately left
$\phi_1$- biprojective if and only if G is amenable, where $\phi_1$ is the
augmentation character on S(G). Also we showed that the measure algebra M(G) is
approximately left character biprojective if and only if G is discrete and
amenable. For a Clifford semigroup S, we show that `1(S) is approximately left
character biprojective if and only if `1(S) is pseudo-amenable. We study the
hereditary property of these new notions. Finally we give some examples among
semigroup algebras and Triangular Banach algebras to show the differences of
these notions and the classical ones.


title:
Dynamic dependence networks: Financial time series forecasting and
  portfolio decisions (with discussion)

abstract:
  We discuss Bayesian forecasting of increasingly high-dimensional time series,
a key area of application of stochastic dynamic models in the financial
industry and allied areas of business. Novel state-space models characterizing
sparse patterns of dependence among multiple time series extend existing
multivariate volatility models to enable scaling to higher numbers of
individual time series. The theory of these "dynamic dependence network" models
shows how the individual series can be "decoupled" for sequential analysis, and
then "recoupled" for applied forecasting and decision analysis. Decoupling
allows fast, efficient analysis of each of the series in individual univariate
models that are linked-- for later recoupling-- through a theoretical
multivariate volatility structure defined by a sparse underlying graphical
model. Computational advances are especially significant in connection with
model uncertainty about the sparsity patterns among series that define this
graphical model; Bayesian model averaging using discounting of historical
information builds substantially on this computational advance. An extensive,
detailed case study showcases the use of these models, and the improvements in
forecasting and financial portfolio investment decisions that are achievable.
Using a long series of daily international currency, stock indices and
commodity prices, the case study includes evaluations of multi-day forecasts
and Bayesian portfolio analysis with a variety of practical utility functions,
as well as comparisons against commodity trading advisor benchmarks.


title: Topic Aware Neural Response Generation

abstract:
  We consider incorporating topic information into the sequence-to-sequence
framework to generate informative and interesting responses for chatbots. To
this end, we propose a topic aware sequence-to-sequence (TA-Seq2Seq) model. The
model utilizes topics to simulate prior knowledge of human that guides them to
form informative and interesting responses in conversation, and leverages the
topic information in generation by a joint attention mechanism and a biased
generation probability. The joint attention mechanism summarizes the hidden
vectors of an input message as context vectors by message attention,
synthesizes topic vectors by topic attention from the topic words of the
message obtained from a pre-trained LDA model, and let these vectors jointly
affect the generation of words in decoding. To increase the possibility of
topic words appearing in responses, the model modifies the generation
probability of topic words by adding an extra probability item to bias the
overall distribution. Empirical study on both automatic evaluation metrics and
human annotations shows that TA-Seq2Seq can generate more informative and
interesting responses, and significantly outperform the-state-of-the-art
response generation models.


title: Sharp transition in self-avoiding walk on random conductors on a tree

abstract:
  We consider self-avoiding walk on a tree with random conductances. It is
proven that in the weak disorder regime, the quenched critical point is equal
to the annealed one, and that in the strong disorder regime, these critical
points are strictly different. Derrida and Spohn, and Baffet, Patrick and
Pul$\acute{\rm e}$ give the exact value of the quenched critical point. We give
another heuristic approach by the fractional moment estimate.


title:
Dynamics of liquid plugs in prewetted capillary tubes: from acceleration
  and rupture to deceleration and airway obstruction

abstract:
  The dynamics of individual liquid plugs pushed at constant pressure head
inside prewetted cylindrical capillary tubes is investigated experimentally and
theoretically. It is shown that, depending on the thickness of the prewetting
film and the magnitude of the pressure head, the plugs can either experience a
continuous acceleration leading to a dramatic decrease of their size and
eventually their rupture or conversely, a progressive deceleration associated
with their growth and an exacerbation of the airway obstruction. These
behaviors are quantitatively reproduced with a simple nonlinear model [Baudoin
et al., Proc. Nat. Ac. Sci. USA, 2013, 110, 859] adapted here for cylindrical
channels. Furthermore, an analytical criterion for the transition between these
two regimes is derived and successfully compared with extensive experimental
data. The potential implications of this work for pulmonary obstructive
diseases are discussed.


title: Raman scattering with strongly coupled vibron-polaritons

abstract:
  Strong coupling between cavity photons and molecular vibrations can lead to
the formation of vibron-polaritons. In a recent experiment with PVAc molecules
in a metal-metal microcavity [A.Shalabney et al., Ang.Chem.Int.Ed. 54 7971
(2015)], such a coupling was observed to enhance the Raman scattering
probability by several orders of magnitude. Inspired by this, we theoretically
analyze the effect of strong photon-vibron coupling on the Raman scattering
amplitude of organic molecules. This problem has recently been addressed in
[J.del Pino, J.Feist and F.J.Garcia-Vidal; J.Phys.Chem.C 119 29132 (2015)]
using exact numerics for a small number of molecules. In this paper we derive
compact analytic results for any number of molecules, also including the
ultra-strong coupling regime. Our calculations predict a division of the Raman
signal into upper and lower polariton modes,with some enhancement to the lower
polariton Raman amplitude due to the mode softening under strong coupling.


title:
Giant pressure dependence and dimensionality switching in a
  metal-organic quantum antiferromagnet

abstract:
  We report an extraordinary pressure dependence of the magnetic interactions
in the metal-organic system [(CuF$_2$(H$_2$O)$_2$)$_2$pyrazine]. At zero
pressure, this material realizes a quasi-two-dimensional (Q2D) spin-1/2
square-lattice Heisenberg antiferromagnet. By high-pressure, high-field
susceptibility measurements we show that the dominant exchange parameter is
reduced continuously by a factor of 2 upon compression. Above 18 kbar, a phase
transition occurs, inducing an orbital re-ordering that switches the
dimensionality, transforming the Q2D lattice into weakly coupled chains (Q1D).
We explain the microscopic mechanisms for both phenomena by combining detailed
x-ray and neutron diffraction results with quantitative modeling using
spin-polarized density functional theory.


title: Generalized notion of amenability for a class of matrix algebras

abstract:
  We investigate the notions of amenability and its related homological notions
for a class of $I\times I$-upper triangular matrix algebra, say $UP(I,A)$,
where $A$ is a Banach algebra equipped with a non-zero character. We show that
$UP(I,A)$ is pseudo-contractible (amenable) if and only if $I$ is singleton and
$A$ is pseudo-contractible (amenable), respectively. We also study the notions
of pseudo-amenability and approximate biprojectivity of $UP(I,A)$.


title:
Free energy and entropy production rate for a Brownian particle that
  walks on overdamped medium

abstract:
  We derive general expressions for the free energy, entropy production and
entropy extraction rates for a Brownian particle that walks in a viscous medium
where the dynamics of its motion is governed by the Langevin equation. It is
shown that when the system is out of equilibrium, it constantly produces
entropy and at the same time extracts entropy out of the system. Its entropy
production and extraction rates decrease in time and saturate to a constant
value. In long time limit, the rate of entropy production balances the rate of
entropy extraction and at equilibrium both entropy production and extraction
rates become zero. Moreover, considering different model systems, not only we
investigate how various thermodynamic quantities behave in time but also we
discuss the fluctuation theorem in detail.


title:
On projectivized vector bundles and positive holomorphic sectional
  curvature

abstract:
  We generalize a construction of Hitchin to prove that, given any compact
K\"ahler manifold $M$ with positive holomorphic sectional curvature and any
holomorphic vector bundle $E$ over $M$, the projectivized vector bundle
${\mathbb P}(E)$ admits a K\"ahler metric with positive holomorphic sectional
curvature.


title: Nonperturbative light-front Hamiltonian methods

abstract:
  We examine the current state-of-the-art in nonperturbative calculations done
with Hamiltonians constructed in light-front quantization of various field
theories. The language of light-front quantization is introduced, and important
(numerical) techniques, such as Pauli--Villars regularization, discrete
light-cone quantization, basis light-front quantization, the light-front
coupled-cluster method, the renormalization group procedure for effective
particles, sector-dependent renormalization, and the Lanczos diagonalization
method, are surveyed. Specific applications are discussed for quenched scalar
Yukawa theory, $\phi^4$ theory, ordinary Yukawa theory, supersymmetric
Yang--Mills theory, quantum electrodynamics, and quantum chromodynamics. The
content should serve as an introduction to these methods for anyone interested
in doing such calculations and as a rallying point for those who wish to solve
quantum chromodynamics in terms of wave functions rather than random samplings
of Euclidean field configurations.


title: A note on approximately biflat banach algebras

abstract:
  In this paper, we study the notion of approximately bi at Banach algebras for
second dual Banach algebras and semigroup algebras. We show that for a locally
compact group G, if S(G)?? is approximately bi at, then G is amenable group.
Also we give some conditions which the second dual of a Triangular Banach
algebra is never approximately bi at. For a uniformly locally finite semigroup
S, we show that `1(S) is approximately bi at if and only if `1(S) is bi at.


title:
An Efficient Implementation of the Generalized Labeled Multi-Bernoulli
  Filter

abstract:
  This paper proposes an efficient implementation of the generalized labeled
multi-Bernoulli (GLMB) filter by combining the prediction and update into a
single step. In contrast to an earlier implementation that involves separate
truncations in the prediction and update steps, the proposed implementation
requires only one truncation procedure for each iteration. Furthermore, we
propose an efficient algorithm for truncating the GLMB filtering density based
on Gibbs sampling. The resulting implementation has a linear complexity in the
number of measurements and quadratic in the number of hypothesized objects.


title: Superfluid (quantum) turbulence and distributed chaos

abstract:
  Properties of distributed chaos in superfluid (quantum) turbulence have been
studied using the data of recent direct numerical simulations (HVBK two-fluid
model for He II, and a moving grid in the frames of Gross-Pitaevskii model of
the Bose-Einstein condensates at low temperatures). It is found that for the
viscous (normal) component of the velocity field in He II the viscosity
dominates the distributed chaos with the stretched exponential spectrum
$\exp(-k/k_{\beta})^{\beta}$ and $\beta = 2/3$. For the superfluid component
the distributed chaos is dominated by the vorticity correlation integral with
$\beta =1/2$ (the soft spontaneous breaking of the space translational symmetry
- homogeneity). For very low temperature the distributed chaos is tuned to the
large-scale coherent motions: the viscous (normal) component is tuned to the
fundamental mode, whereas the superfluid component is subharmonically tuned.
For the Gross-Pitaevskii superfluid turbulence incompressible part of the
energy spectrum (containing the vortices contribution) also indicates the
distributed chaos dominated by the vorticity correlation integral ($\beta
=1/2$) and the subharmonic tuning to the large-scale coherent motions.


title:
GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and
  Orbifold Singularities

abstract:
  The GKZ system for the Hesse pencil of elliptic curves has more solutions
than the period integrals. In this work we give different realizations and
interpretations of the extra solution, in terms of oscillating integral,
Eichler integral, chain integral on the elliptic curve, limit of a period of a
certain compact Calabi-Yau threefold geometry, etc. We also highlight the role
played by the orbifold singularity on the moduli space and its relation to the
GKZ system.


title:
On the spectrum of operator families on discrete groups over minimal
  dynamical systems

abstract:
  It is well known that, given an equivariant and continuous (in a suitable
sense) family of selfadjoint operators in a Hilbert space over a minimal
dynamical system, the spectrum of all operators from that family coincides. As
shown recently similar results also hold for suitable families of
non-selfadjoint operators in $\ell^p (\ZM)$. Here, we generalize this to a
large class of bounded linear operator families on Banach-space valued
$\ell^p$-spaces over countable discrete groups. We also provide equality of the
pseudospectra for operators in such a family. A main tool for our analysis are
techniques from limit operator theory.


title: Laminar Matroids

abstract:
  A laminar family is a collection $\mathscr{A}$ of subsets of a set $E$ such
that, for any two intersecting sets, one is contained in the other. For a
capacity function $c$ on $\mathscr{A}$, let $\mathscr{I}$ be $\{I:|I\cap A|
\leq c(A)\text{ for all $A\in\mathscr{A}$}\}$. Then $\mathscr{I}$ is the
collection of independent sets of a (laminar) matroid on $E$. We present a
method of compacting laminar presentations, characterize the class of laminar
matroids by their excluded minors, present a way to construct all laminar
matroids using basic operations, and compare the class of laminar matroids to
other well-known classes of matroids.


title:
First-principles structure search for the stable isomers of
  stoichiometric WS2 nano-clusters

abstract:
  In this paper, we employ evolutionary algorithm along with the full-potential
density functional theory (DFT) computations to perform a comprehensive search
for the stable structures of stoichiometric (WS2)n nano-clusters (n=1-9),
within three different exchange-correlation functionals. Our results suggest
that n=3, 5, 8 are possible candidates for the low temperature magic sizes of
WS2 nano-clusters while at temperatures above 600 Kelvin, n=5 and 7 exhibit
higher relative stability among the studied systems. The electronic properties
and energy gap of the lowest energy isomers were computed within several
schemes, including semilocal PBE and BLYP functionals, hybrid B3LYP functional,
many body based DFT+GW approach, and time dependent DFT calculations.
Vibrational spectra of the lowest lying isomers, computed by the force constant
method, are used to address IR spectra and thermal free energy of the clusters.
Time dependent density functional calculation in real time domain is applied to
determine the full absorption spectra and optical gap of the lowest energy
isomers of the WS2 nano-clusters.

categories: cond-mat.mtrl-sci cond-mat.mes-hall physics.atm-clus physics.comp-ph


title: A new view on vacuum stability in the MSSM

abstract:
  A consistent theoretical description of physics at high energies requires an
assessment of vacuum stability in either the Standard Model or any extension of
it. Especially supersymmetric extensions allow for several vacua and the choice
of the desired electroweak one gives strong constraints on the parameter space.
As the general parameter space in the Minimal Supersymmetric Standard Model is
huge, any severe constraint on it unrelated to direct phenomenological
observations enhances the predictability of the model. We perform an updated
analysis of possible charge and color breaking minima without relying on fixed
directions in field space that minimize certain terms in the potential (known
as "D-flat" directions). Concerning the cosmological stability of false vacua,
we argue that there are always directions in configuration space which lead to
very short-lived vacua and therefore such exclusions are strict. In addition to
existing strong constraints on the parameter space, we find even stronger
constraints extending the field space compared to previous analyses and combine
those constraints with predictions for the light CP-even Higgs mass in the
Minimal Supersymmetric Standard Model. Low masses for supersymmetric partners
are excluded from vacuum stability in combination with the 125 GeV Higgs and
the allowed parameter space opens at a few TeV.


title:
Cayley Automatic Groups and Numerical Characteristics of Turing
  Transducers

abstract:
  This paper is devoted to the problem of finding characterizations for Cayley
automatic groups. The concept of Cayley automatic groups was recently
introduced by Kharlampovich, Khoussainov and Miasnikov. We address this problem
by introducing three numerical characteristics of Turing transducers: growth
functions, Folner functions and average length growth functions. These three
numerical characteristics are the analogs of growth functions, Folner functions
and drifts of simple random walks for Cayley graphs of groups. We study these
numerical characteristics for Turing transducers obtained from automatic
presentations of labeled directed graphs.


title:
Collective excitations of dipolar gases based on local tunneling in
  superlattices

abstract:
  The collective dynamics of a dipolar fermionic quantum gas confined in a
one-dimensional double-well superlattice is explored. The fermionic gas resides
in a paramagnetic-like ground state in the weak interaction regime, upon which
a new type of collective dynamics is found when applying a local perturbation.
This dynamics is composed of the local tunneling of fermions in separate
supercells, and is a pure quantum effect, with no classical counterpart. Due to
the presence of the dipolar interactions the local tunneling transports through
the entire superlattice, giving rise to a collective dynamics. A well-defined
momentum-energy dispersion relation is identified in the ab-initio simulations
demonstrating the phonon-like behavior. The phonon-like characteristic is also
confirmed by an analytical description of the dynamics within a semiclassical
picture.


title: Lifted Rule Injection for Relation Embeddings

abstract:
  Methods based on representation learning currently hold the state-of-the-art
in many natural language processing and knowledge base inference tasks. Yet, a
major challenge is how to efficiently incorporate commonsense knowledge into
such models. A recent approach regularizes relation and entity representations
by propositionalization of first-order logic rules. However,
propositionalization does not scale beyond domains with only few entities and
rules. In this paper we present a highly efficient method for incorporating
implication rules into distributed representations for automated knowledge base
construction. We map entity-tuple embeddings into an approximately Boolean
space and encourage a partial ordering over relation embeddings based on
implication rules mined from WordNet. Surprisingly, we find that the strong
restriction of the entity-tuple embedding space does not hurt the
expressiveness of the model and even acts as a regularizer that improves
generalization. By incorporating few commonsense rules, we achieve an increase
of 2 percentage points mean average precision over a matrix factorization
baseline, while observing a negligible increase in runtime.


title: 2D Constrained Navier-Stokes Equations

abstract:
  We study 2D Navier-Stokes equations with a constraint on $L^2$ energy of the
solution. We prove the existence and uniqueness of a global solution for the
constrained Navier-Stokes equation on $\R^2$ and $\T$, by a fixed point
argument. We also show that the solution of constrained Navier-Stokes converges
to the solution of Euler equation as viscosity $\nu$ vanishes.


title:
Resolving a discrepancy between experimental and theoretical lifetimes
  in atomic negative ions

abstract:
  Recently the lifetime of the excited $^{2}P_{1/2}$-state of S$^-$ was
measured to be $503\pm 54$ s (B\"ackstr\"om et al. Phys. Rev. Lett. 114, 143003
(2015)). The earlier theoretical lifetime of $436$ s was clearly outside the
experimental error bars. To investigate this discrepancy we have performed
systematic and large-scale multiconfiguration Dirac-Hartree-Fock calculations
for this system. After including a careful treatment of correlation and
relativistic effects, we predict a well-converged value of $492$ s for this
lifetime, with an uncertainty considerably less than 1%, thereby removing the
apparent conflict between theory and experiment. We also show that this result
corresponds to the non-relativistic limit in the $LS$-approximation for the M1
transition within this $^2P$ term. We also demonstrate the usefulness of the
latter approach for $^2P$ transitions in O$^-$, Se$^-$ and Te$^-$, as well as
for analogous M1 transitions within $^2D$ terms in Ni$^-$ and Pt$^-$ ions.


title:
A Reduction for Optimizing Lattice Submodular Functions with Diminishing
  Returns

abstract:
  A function $f: \mathbb{Z}_+^E \rightarrow \mathbb{R}_+$ is DR-submodular if
it satisfies $f({\bf x} + \chi_i) -f ({\bf x}) \ge f({\bf y} + \chi_i) - f({\bf
y})$ for all ${\bf x}\le {\bf y}, i\in E$. Recently, the problem of maximizing
a DR-submodular function $f: \mathbb{Z}_+^E \rightarrow \mathbb{R}_+$ subject
to a budget constraint $\|{\bf x}\|_1 \leq B$ as well as additional constraints
has received significant attention \cite{SKIK14,SY15,MYK15,SY16}.
  In this note, we give a generic reduction from the DR-submodular setting to
the submodular setting. The running time of the reduction and the size of the
resulting submodular instance depends only \emph{logarithmically} on $B$. Using
this reduction, one can translate the results for unconstrained and constrained
submodular maximization to the DR-submodular setting for many types of
constraints in a unified manner.


title:
Among-site variability in the stochastic dynamics of East African coral
  reefs

abstract:
  Coral reefs are dynamic systems whose composition is highly influenced by
unpredictable biotic and abiotic factors. Understanding the spatial scale at
which long-term predictions of reef composition can be made will be crucial for
guiding conservation efforts. Using a 22-year time series of benthic
composition data from 20 reefs on the Kenyan and Tanzanian coast, we studied
the long-term behaviour of Bayesian vector autoregressive state-space models
for reef dynamics, incorporating among-site variability. We estimate that if
there were no among-site variability, the total long-term variability would be
approximately one third of its current value. Thus among-site variability
contributes more to long-term variability in reef composition than does
temporal variability. Individual sites are more predictable than previously
thought, and predictions based on current snapshots are informative about
long-term properties. Our approach allowed us to identify a subset of possible
climate refugia sites with high conservation value, where the long-term
probability of coral cover <= 0.1 was very low. Analytical results show that
this probability is most strongly influenced by among-site variability and by
interactions among benthic components within sites. These findings suggest that
conservation initiatives might be successful at the site scale as well as the
regional scale.


title: $U$ independent eigenstates of Hubbard model

abstract:
  Two-dimensional Hubbard model is very important in condensed matter physics.
However it has not been resolved though it has been proposed for more than 50
years. We give several methods to construct eigenstates of the model that are
independent of the on-site interaction strength $U$.