title:
Adaptive Maximization of Pointwise Submodular Functions With Budget
  Constraint

abstract:
  We study the worst-case adaptive optimization problem with budget constraint
that is useful for modeling various practical applications in artificial
intelligence and machine learning. We investigate the near-optimality of greedy
algorithms for this problem with both modular and non-modular cost functions.
In both cases, we prove that two simple greedy algorithms are not near-optimal
but the best between them is near-optimal if the utility function satisfies
pointwise submodularity and pointwise cost-sensitive submodularity
respectively. This implies a combined algorithm that is near-optimal with
respect to the optimal algorithm that uses half of the budget. We discuss
applications of our theoretical results and also report experiments comparing
the greedy algorithms on the active learning problem.


title:
A survey of time consistency of dynamic risk measures and dynamic
  performance measures in discrete time: LM-measure perspective

abstract:
  In this work we give a comprehensive overview of the time consistency
property of dynamic risk and performance measures, focusing on a the discrete
time setup. The two key operational concepts used throughout are the notion of
the LM-measure and the notion of the update rule that, we believe, are the key
tools for studying time consistency in a unified framework.


title:
Determination of mass hierarchy with $\nu_\mu \to \nu_\tau$ appearance
  and the effect of nonstandard interactions

abstract:
  Crucial developments in neutrino physics would be the determination of the
mass hierarchy (MH) and measurement of the CP phase in the leptonic sector. The
patterns of the transition probabilities $P(\nu_\mu \rightarrow \nu_\tau)$ and
$P(\bar{\nu}_\mu \rightarrow \bar{\nu}_\tau)$ are sensitive to these
oscillation parameters. An asymmetry parameter can be defined as the difference
of these two probabilities normalized to their sum. The profile of the
asymmetry parameter gives a clear signal of the mass ordering as it is found to
be positive for inverted hierarchy and negative for normal hierarchy. The
asymmetry parameter is also sensitive to the CP phase. We consider the effects
of non-standard neutrino interactions (NSI) on the determination of the mass
hierarchy. Since we assume the largest new physics effects involve the $\tau$
sector only, we ignore NSI in production and study the NSI effects in detection
as well as along propagation. We find that the NSI effects can significantly
modify the prediction of the asymmetry parameter though the MH can still be
resolved.


title: Spin glass phase transitions in the random feedback vertex set problem

abstract:
  A feedback vertex set (FVS) of an undirected graph contains vertices from
every cycle of this graph. Constructing a FVS of sufficiently small cardinality
is very difficult in the worst cases, but for random graphs this problem can be
efficiently solved after converting it into an appropriate spin glass model
[H.-J. Zhou, Eur. Phys. J. B 86 (2013) 455]. In the present work we study the
local stability and the phase transition properties of this spin glass model on
random graphs. For both regular random graphs and Erd\"os-R\'enyi graphs we
determine the inverse temperature $\beta_l$ at which the replica-symmetric mean
field theory loses its local stability, the inverse temperature $\beta_d$ of
the dynamical (clustering) phase transition, and the inverse temperature
$\beta_c$ of the static (condensation) phase transition. We find that
$\beta_{l}$, $\beta_{d}$, and $\beta_c$ change with the (mean) vertex degree in
a non-monotonic way; $\beta_d$ is distinct from $\beta_c$ for regular random
graphs of vertex degrees $K\geq 64$, while $\beta_d$ are always identical to
$\beta_c$ for Erd\"os-R\'enyi graphs (at least up to mean vertex degree
$c=512$). We also compute the minimum FVS size of regular random graphs through
the zero-temperature first-step replica-symmetry-breaking mean field theory and
reach good agreement with the results obtained on single graph instances by the
belief propagation-guided decimation algorithm. Taking together, this paper
presents a systematic theoretical study on the energy landscape property of a
spin glass system with global cycle constraints.


title:
Phase transition of strongly interacting matter with a chemical
  potential dependent Polyakov loop potential

abstract:
  We construct a hadron-quark two-phase model based on the Walecka-quantum
hadrodynamics and the improved Polyakov-Nambu--Jona-Lasinio model with an
explicit chemical potential dependence of Polyakov-loop potential ($\mu$PNJL
model). With respect to the original PNJL model, the confined-deconfined phase
transition is largely affected at low temperature and large chemical potential.
Using the two-phase model, we investigate the equilibrium transition between
hadronic and quark matter at finite chemical potentials and temperatures. The
numerical results show that the transition boundaries from nuclear to quark
matter move towards smaller chemical potential (lower density) when the
$\mu$-dependent Polyakov loop potential is taken. In particular, for charge
asymmetric matter, we compute the local asymmetry of $u, d$ quarks in the
hadron-quark coexisting phase, and analyse the isospin-relevant observables
possibly measurable in heavy-ion collision (HIC) experiments. In general new
HIC data on the location and properties of the mixed phase would bring relevant
information on the expected chemical potential dependence of the Polyakov Loop
contribution.


title: Evidence of quantum Griffiths phase in Ni_{1-x}V_x nanoalloys

abstract:
  Metallic Ni$_{1-x}$V$_x$ alloys are known to exhibit a ferromagnetic to
paramagnetic disordered quantum phase transition (QPT) at the critical
concentration $x_c \sim$ 0.114 in bulk. Such a QPT is accompanied by a quantum
Griffiths phase (QGP), the physical observables in which follow non-universal
power-law temperature dependences, in a finite temperature range on the
paramagnetic side of the transition. In the present work, we explore the
occurrence of QGP in nanoparticles of this alloy system. Nanoalloys with $x$ in
the neighbourhood of $x_c$ and mean diameter 18-33 nm were prepared by a
chemical reflux method. Following a few microscopic and spectroscopic studies
to determine the sizes, compositions and phases, dc magnetization measurements
were also performed to seek out any signature of QGP in the nanoalloys. A
paramagnetic-like increase of magnetization is observed to emerge below an
$x$-dependent transition temperature $\rm{T_P} (\it{x})$ within the blocked
ferromagnetic state of the nanoparticles, and is corroborated by a peak at
$\rm{T_P} (\it{x})$ in the temperature dependence of resistivity. The magnetic
susceptibility in this emergent phase follows a non-Curie power-law temperature
dependence below 10 K for $0.09 \leq x \leq 0.14$, indicating the presence of a
QGP in the nanoparticles within these temperature and composition ranges.


title: Towards Geo-Distributed Machine Learning

abstract:
  Latency to end-users and regulatory requirements push large companies to
build data centers all around the world. The resulting data is "born"
geographically distributed. On the other hand, many machine learning
applications require a global view of such data in order to achieve the best
results. These types of applications form a new class of learning problems,
which we call Geo-Distributed Machine Learning (GDML). Such applications need
to cope with: 1) scarce and expensive cross-data center bandwidth, and 2)
growing privacy concerns that are pushing for stricter data sovereignty
regulations. Current solutions to learning from geo-distributed data sources
revolve around the idea of first centralizing the data in one data center, and
then training locally. As machine learning algorithms are
communication-intensive, the cost of centralizing the data is thought to be
offset by the lower cost of intra-data center communication during training. In
this work, we show that the current centralized practice can be far from
optimal, and propose a system for doing geo-distributed training. Furthermore,
we argue that the geo-distributed approach is structurally more amenable to
dealing with regulatory constraints, as raw data never leaves the source data
center. Our empirical evaluation on three real datasets confirms the general
validity of our approach, and shows that GDML is not only possible but also
advisable in many scenarios.


title:
Two-temperature continuum model for viscoplasticity in metals based on
  fluctuation relation

abstract:
  A continuum plasticity model for metals is presented from considerations of
non-equilibrium thermodynamics. Of specific interest is the application of a
fluctuation relation that subsumes the second law of thermodynamics en route to
deriving the evolution equations for the internal state variables. The modeling
itself is accomplished in a two-temperature framework that appears naturally by
considering the thermodynamic system to be composed of two weakly interacting
subsystems, viz. a kinetic vibrational subsystem corresponding to the atomic
lattice vibrations and a configurational subsystem of the slower degrees of
freedom describing the motion of defects in a plastically deforming metal. When
externally driven, the two subsystems, identified with their own temperatures,
fall out of equilibrium. An apparently physical nature of the present model
derives upon considering the dislocation density, which characterizes the
configurational subsystem, as a state variable. The continuum model
accommodates finite deformation and describes plastic deformation in a
yield-free setup via the so-called microscopic force balance along with the
more conventional macroscopic force balance. Though the theory here is
essentially limited to face-centered cubic metals modelled with a single
dislocation density as the internal variable, an extension to body-centered
cubic metals and modelling with two internal variables with dislocation
densities of two non-overlapping types are briefly touched upon.


title: Vector Quantization for Machine Vision

abstract:
  This paper shows how to reduce the computational cost for a variety of common
machine vision tasks by operating directly in the compressed domain,
particularly in the context of hardware acceleration. Pyramid Vector
Quantization (PVQ) is the compression technique of choice and its properties
are exploited to simplify Support Vector Machines (SVM), Convolutional Neural
Networks(CNNs), Histogram of Oriented Gradients (HOG) features, interest points
matching and other algorithms.


title:
Weakly Cohen-Macaulay posets and a class of finite-dimensional graded
  quadratic algebras

abstract:
  To a finite ranked poset $\Gamma$ we associate a finite-dimensional graded
quadratic algebra $R_\Gamma$. Assuming $\Gamma$ satisfies a combinatorial
condition known as uniform, $R_{\Gamma}$ is related to a well-known algebra,
the splitting algebra $A_{\Gamma}$. First introduced by Gelfand, Retakh,
Serconek, and Wilson, splitting algebras originated from the problem of
factoring non-commuting polynomials. Given a finite ranked poset $\Gamma$, we
ask: Is $R_{\Gamma}$ Koszul? The Koszulity of $R_{\Gamma}$ is related to a
combinatorial topology property of $\Gamma$ called Cohen-Macaulay. Kloefkorn
and Shelton proved that if $\Gamma$ is a finite ranked cyclic poset, then
$\Gamma$ is Cohen-Macaulay if and only if $\Gamma$ is uniform and $R_{\Gamma}$
is Koszul. We define a new generalization of Cohen-Macaulay, weakly
Cohen-Macaulay, and we note that this new class includes posets with
disconnected open subintervals. We prove: if $\Gamma$ is a finite ranked cyclic
poset, then $\Gamma$ is weakly Cohen-Macaulay if and only if $R_{\Gamma}$ is
Koszul.


title: Knots and surfaces

abstract:
  This article is an English translation of Japanese article "Musubime to
Kyokumen", Math. Soc. Japan, Sugaku Vol. 67, No. 4 (2015) 403--423. It surveys
a specific area in Knot Theory concerning surfaces in knot exteriors.
  In version 2, we added comments on the solutions or counterexamples for
Conjecture 3.5, Conjecture 3.7 and Conjecture 5.30.


title:
Centrality dependence of midrapidity density from GeV to TeV heavy-ion
  collisions in the effective-energy universality picture of hadroproduction

abstract:
  The dependence on centrality, or on the number of nucleon participants, of
the midrapidity density of charged particles measured in heavy-ion collisions
at the collision energy of about 20 GeV at RHIC to the highest LHC energy of 5
TeV is investigated within the recently proposed effective-energy approach.
This approach relates multihadron production in different types of collisions
by combining, under the proper scaling of the collision energy, the constituent
quark picture with Landau relativistic hydrodynamics. The measurements are
shown to be well described based on the similarity of multihadron production
process in (anti)proton-proton interactions and heavy-ion collisions driven by
the centrality-dependent effective energy of participants.


title: Genera and minors of multibranched surfaces

abstract:
  We say that a $2$-dimensional CW complex is a multibranched surface if we
remove all points whose open neighborhoods are homeomorphic to the
$2$-dimensional Euclidean space, then we obtain a $1$-dimensional complex which
is homeomorphic to a disjoint union of some $S^1$'s. We define the genus of a
multibranched surface $X$ as the minimum number of genera of $3$-dimensional
manifold into which $X$ can be embedded. We prove some inequalities which give
upper bounds for the genus of a multibranched surface. A multibranched surface
is a generalization of graphs. Therefore, we can define "minors" of
multibranched surfaces analogously. We study various properties of the minors
of multibranched surfaces.


title:
On the decidability of the theory of modules over the ring of algebraic
  integers

abstract:
  We prove that the theory of all modules over the ring of algebraic integers
is decidable.


title: Rashba-type Spin-orbit Coupling in Bilayer Bose-Einstein Condensates

abstract:
  We explore a new way of producing the Rashba spin-orbit coupling (SOC) for
ultracold atoms by using a two-component (spinor) atomic Bose-Einstein
condensate (BEC) confined in a bilayer geometry. The SOC of the Rashba type is
created if the atoms pick up a {\pi} phase after completing a cyclic transition
between four combined spin-layer states composed of two spin and two layer
states. The cyclic coupling of the spin-layer states is carried out by
combining an intralayer Raman coupling and an interlayer laser assisted
tunneling. We theoretically determine the ground-state phases of the
spin-orbit-coupled BEC for various strengths of the atom-atom interaction and
the laser-assisted coupling. It is shown that the bilayer scheme provides a
diverse ground-state phase diagram. In an intermediate range of the atom-light
coupling two interlacing lattices of half- skyrmions and half-antiskyrmions are
spontaneously created. In the strong-coupling regime, where the SOC of the
Rashba-type is formed, the ground state represents plane-wave or standing-wave
phases depending on the interaction between the atoms. A variational analysis
is shown to be in a good agreement with the numerical results.


title:
On Endomorphisms of the Cuntz Algebra which Preserve the Canonical
  UHF-Subalgebra, II

abstract:
  It was shown recently by Conti, R{\o}rdam and Szyma\'{n}ski that there exist
endomorphisms $\lambda_u$ of the Cuntz algebra $\mathcal{O}_n$ such that
$\lambda_u (\mathcal{F}_n)\subseteq\mathcal{F}_n$ but $u\not\in\mathcal{F}_n$,
and a question was raised if for such a $u$ there must always exist a unitary
$v\in\mathcal{F}_n$ with $\lambda_u|_{\mathcal{F}_n} =
\lambda_v|_{\mathcal{F}_n}$. In the present paper, we answer this question to
the negative. To this end, we analyze the structure of such endomorphisms
$\lambda_u$ for which the relative commutant
$\lambda_u(\mathcal{F}_n)'\cap\mathcal{F}_n$ is finite dimensional.


title:
Performance of a community detection algorithm based on semidefinite
  programming

abstract:
  The problem of detecting communities in a graph is maybe one the most studied
inference problems, given its simplicity and widespread diffusion among several
disciplines. A very common benchmark for this problem is the stochastic block
model or planted partition problem, where a phase transition takes place in the
detection of the planted partition by changing the signal-to-noise ratio.
Optimal algorithms for the detection exist which are based on spectral methods,
but we show these are extremely sensible to slight modification in the
generative model. Recently Javanmard, Montanari and Ricci-Tersenghi
(arXiv:1511.08769) have used statistical physics arguments, and numerical
simulations to show that finding communities in the stochastic block model via
semidefinite programming is quasi optimal. Further, the resulting semidefinite
relaxation can be solved efficiently, and is very robust with respect to
changes in the generative model. In this paper we study in detail several
practical aspects of this new algorithm based on semidefinite programming for
the detection of the planted partition. The algorithm turns out to be very
fast, allowing the solution of problems with $O(10^5)$ variables in few second
on a laptop computer.

categories: stat.ML cond-mat.stat-mech cs.SI physics.soc-ph


title:
Dense Image Representation with Spatial Pyramid VLAD Coding of CNN for
  Locally Robust Captioning

abstract:
  The workflow of extracting features from images using convolutional neural
networks (CNN) and generating captions with recurrent neural networks (RNN) has
become a de-facto standard for image captioning task. However, since CNN
features are originally designed for classification task, it is mostly
concerned with the main conspicuous element of the image, and often fails to
correctly convey information on local, secondary elements. We propose to
incorporate coding with vector of locally aggregated descriptors (VLAD) on
spatial pyramid for CNN features of sub-regions in order to generate image
representations that better reflect the local information of the images. Our
results show that our method of compact VLAD coding can match CNN features with
as little as 3% of dimensionality and, when combined with spatial pyramid, it
results in image captions that more accurately take local elements into
account.


title: Extremes of local times for simple random walks on symmetric trees

abstract:
  We consider local times of the simple random walk on the $b$-ary tree of
depth $n$ and study a point process which encodes the location of the vertex
with the maximal local time and the properly centered maximum over leaves of
each subtree of depth $r_n$ rooted at the $(n-r_n)$ level, where $(r_n)_{n \geq
1}$ satisfies $\lim_{n \to \infty} r_n = \infty$ and $\lim_{n \to \infty} r_n/n
\in [0, 1)$. We show that the point process weakly converges to a Cox process
with intensity measure $\alpha Z_{\infty} (dx) \otimes e^{-2\sqrt{\log
b}~y}dy$, where $\alpha > 0$ is a constant and $Z_{\infty}$ is a random measure
on $[0, 1]$ which has the same law as the limit of a critical random
multiplicative cascade measure up to a scale factor. As a corollary, we
establish convergence in law of the maximum of local times over leaves to a
randomly shifted Gumbel distribution.


title: Cost-Sensitive Label Embedding for Multi-Label Classification

abstract:
  Label embedding (LE) is an important family of multi-label classification
algorithms that digest the label information jointly for better performance.
Different real-world applications evaluate performance by different cost
functions of interest. Current LE algorithms often aim to optimize one specific
cost function, but they can suffer from bad performance with respect to other
cost functions. In this paper, we resolve the performance issue by proposing a
novel cost-sensitive LE algorithm that takes the cost function of interest into
account. The proposed algorithm, cost-sensitive label embedding with
multidimensional scaling (CLEMS), approximates the cost information with the
distances of the embedded vectors by using the classic multidimensional scaling
approach for manifold learning. CLEMS is able to deal with both symmetric and
asymmetric cost functions, and effectively makes cost-sensitive decisions by
nearest-neighbor decoding within the embedded vectors. We derive theoretical
results that justify how CLEMS achieves the desired cost-sensitivity.
Furthermore, extensive experimental results demonstrate that CLEMS is
significantly better than a wide spectrum of existing LE algorithms and
state-of-the-art cost-sensitive algorithms across different cost functions.


title:
Numerical approximation of a cash-constrained firm value with investment
  opportunities

abstract:
  We consider a singular control problem with regime switching that arises in
problems of optimal investment decisions of cash-constrained firms. The value
function is proved to be the unique viscosity solution of the associated
Hamilton-Jacobi-Bellman equation.
  Moreover, we give regularity properties of the value function as well as a
description of the shape of the control regions. Based on these theoretical
results, a numerical deterministic approximation of the related HJB variational
inequality is provided. We finally show that this numerical approximation
converges to the value function. This allows us to describe the investment and
dividend optimal policies.


title:
Robustness of Bayesian Pool-based Active Learning Against Prior
  Misspecification

abstract:
  We study the robustness of active learning (AL) algorithms against prior
misspecification: whether an algorithm achieves similar performance using a
perturbed prior as compared to using the true prior. In both the average and
worst cases of the maximum coverage setting, we prove that all
$\alpha$-approximate algorithms are robust (i.e., near $\alpha$-approximate) if
the utility is Lipschitz continuous in the prior. We further show that
robustness may not be achieved if the utility is non-Lipschitz. This suggests
we should use a Lipschitz utility for AL if robustness is required. For the
minimum cost setting, we can also obtain a robustness result for approximate AL
algorithms. Our results imply that many commonly used AL algorithms are robust
against perturbed priors. We then propose the use of a mixture prior to
alleviate the problem of prior misspecification. We analyze the robustness of
the uniform mixture prior and show experimentally that it performs reasonably
well in practice.


title: Phoenix: A Self-Optimizing Chess Engine

abstract:
  Since the advent of computers, many tasks which required humans to spend a
lot of time and energy have been trivialized by the computers' ability to
perform repetitive tasks extremely quickly. Playing chess is one such task. It
was one of the first games which was `solved' using AI. With the advent of deep
learning, chess playing agents can surpass human ability with relative ease.
However algorithms using deep learning must learn millions of parameters. This
work looks at the game of chess through the lens of genetic algorithms. We
train a genetic player from scratch using only a handful of learnable
parameters. We use Multi-Niche Crowding to optimize positional Value Tables
(PVTs) which are used extensively in chess engines to evaluate the goodness of
a position. With a very simple setup and after only 1000 generations of
evolution, the player reaches the level of an International Master.


title:
Massive MIMO with Multi-Antenna Users: When are Additional User Antennas
  Beneficial?

abstract:
  We analyze the performance of massive MIMO systems with $N$-antenna users.
The benefit is that $N$ streams can be multiplexed per user, at the price of
increasing the channel estimation overhead linearly with $N$. Uplink and
downlink spectral efficiency (SE) expressions are derived for any $N$, and
these are achievable using estimated channels and per-user-basis MMSE-SIC
detectors. Large-system approximations of the SEs are obtained. This analysis
shows that MMSE-SIC has similar asymptotic SE as linear MMSE detectors,
indicating that the SE increase from having multi-antenna users can be
harvested using linear detectors. We generalize the power scaling laws for
massive MIMO to handle arbitrary $N$, and show that one can reduce the
multiplication of the pilot power and payload power as $\frac{1}{M}$ where $M$
is the number of BS antennas, and still notably increase the SE with $M$ before
reaching a non-zero asymptotic limit. Simulations testify our analysis and show
that the SE increases with $N$. We also note that the same improvement can be
achieved by serving $N$ times more single-antenna users instead, thus the
additional user antennas are particular beneficial for SE enhancement when
there are few active users in the system.


title: Isotropic tori in $\mathbb{C}^m$ revisited

abstract:
  We show that for $m>n\geq 2$, there are at least two exact isotropic $n$-tori
in $\mathbb{C}^m$ which are not Hamiltonian isotopic in $\mathbb{C}^m$, even
though they are smoothly isotopic as isotropic $n$-tori. We apply this
discovery to obtain more distinct non-exact isotropic tori in $\mathbb{C}^m$.


title:
Unsupervised Measure of Word Similarity: How to Outperform Co-occurrence
  and Vector Cosine in VSMs

abstract:
  In this paper, we claim that vector cosine, which is generally considered
among the most efficient unsupervised measures for identifying word similarity
in Vector Space Models, can be outperformed by an unsupervised measure that
calculates the extent of the intersection among the most mutually dependent
contexts of the target words. To prove it, we describe and evaluate APSyn, a
variant of the Average Precision that, without any optimization, outperforms
the vector cosine and the co-occurrence on the standard ESL test set, with an
improvement ranging between +9.00% and +17.98%, depending on the number of
chosen top contexts.


title: Succinctness of Order-Invariant Logics on Depth-Bounded Structures

abstract:
  We study the expressive power and succinctness of order-invariant sentences
of first-order (FO) and monadic second-order (MSO) logic on structures of
bounded tree-depth. Order- invariance is undecidable in general and, thus, one
strives for logics with a decidable syntax that have the same expressive power
as order-invariant sentences. We show that on structures of bounded tree-depth,
order-invariant FO has the same expressive power as FO. Our proof technique
allows for a fine-grained analysis of the succinctness of this translation. We
show that for every order-invariant FO sentence there exists an FO sentence
whose size is elementary in the size of the original sentence, and whose number
of quantifier alternations is linear in the tree-depth. We obtain similar
results for MSO. It is known that the expressive power of MSO and FO coincide
on structures of bounded tree-depth. We provide a translation from MSO to FO
and we show that this translation is essentially optimal regarding the formula
size. As a further result, we show that order-invariant MSO has the same
expressive power as FO with modulo-counting quantifiers on bounded tree-depth
structures.


title:
Image Restoration Using Very Deep Convolutional Encoder-Decoder Networks
  with Symmetric Skip Connections

abstract:
  In this paper, we propose a very deep fully convolutional encoding-decoding
framework for image restoration such as denoising and super-resolution. The
network is composed of multiple layers of convolution and de-convolution
operators, learning end-to-end mappings from corrupted images to the original
ones. The convolutional layers act as the feature extractor, which capture the
abstraction of image contents while eliminating noises/corruptions.
De-convolutional layers are then used to recover the image details. We propose
to symmetrically link convolutional and de-convolutional layers with skip-layer
connections, with which the training converges much faster and attains a
higher-quality local optimum. First, The skip connections allow the signal to
be back-propagated to bottom layers directly, and thus tackles the problem of
gradient vanishing, making training deep networks easier and achieving
restoration performance gains consequently. Second, these skip connections pass
image details from convolutional layers to de-convolutional layers, which is
beneficial in recovering the original image. Significantly, with the large
capacity, we can handle different levels of noises using a single model.
Experimental results show that our network achieves better performance than all
previously reported state-of-the-art methods.


title:
Multiplicity dependent and non-binomial efficiency corrections for
  particle number cumulants

abstract:
  In this note we extend previous work on efficiency corrections for cumulant
measurements [1,2]. We will discuss the limitations of the methods presented in
these papers. Specifically we will consider multiplicity dependent efficiencies
as well as a non-binomial efficiency distributions. We will discuss the most
simple and straightforward methods to implement those corrections.


title: New approach to scaling rules for stellar and planetary dynamos

abstract:
  Glorified dimensional analysis is used to derive scaling rules for internal
and external magnetic field strengths and various time scales. Naive
dimensional analysis is inconclusive because of multiple time scales, but
physical arguments serve to weed out irrelevant parameters. Time scales can be
derived from linearized instability analysis instead of ill-founded assumptions
of Magnetic-Archimedean-Coriolis (MAC) balance. Further relationships can be
derived from high-level models of coupled main field components and
differential rotation. The ratios of the external dipole field to internal
magnetic fields and of differential to overall rotation depend on details of
the dynamo mechanism.


title:
Maximum likelihood estimation for a bivariate Gaussian process under
  fixed domain asymptotics

abstract:
  We consider maximum likelihood estimation with data from a bivariate Gaussian
process with a separable exponential covariance model under fixed domain
asymptotic. We first characterize the equivalence of Gaussian measures under
this model. Then consistency and asymptotic distribution for the microergodic
parameters are established. A simulation study is presented in order to compare
the finite sample behavior of the maximum likelihood estimator with the given
asymptotic distribution.


title:
The Perfect Marriage and Much More: Combining Dimension Reduction,
  Distance Measures and Covariance

abstract:
  We develop a novel methodology based on the marriage between the
Bhattacharyya distance, a measure of similarity across distributions of random
variables, and the Johnson-Lindenstrauss Lemma, a technique for dimension
reduction. The resulting technique is a simple yet powerful tool that allows
comparisons between data-sets representing any two distributions. The degree to
which different entities, (markets, universities, hospitals, cities, groups of
securities, etc.), have different distance measures of their corresponding
distributions tells us the extent to which they are different, aiding
participants looking for diversification or looking for more of the same thing.
We demonstrate a relationship between covariance and distance measures based on
a generic extension of Stein's Lemma. We consider an asset pricing application
and then briefly discuss how this methodology lends itself to numerous
market-structure studies and even applications outside the realm of finance /
social sciences by illustrating a biological application. We provide numerical
illustrations using security prices, volumes and volatilities of both these
variables from six different countries.

categories: q-fin.TR math.PR math.ST q-fin.EC stat.TH


title: Low-temperature electron-phonon heat transfer in metal films

abstract:
  We consider the deformation potential mechanism of the electron-phonon
coupling in metal films and investigate the intensity of the associated heat
transfer between the electron and phonon subsystems. The focus is on the
temperature region below dimensional crossover $T<T^{\ast}$ where the thermally
relevant vibrations are described in terms of a quasi-two-dimensional elastic
medium, while electron excitations behave as a three-dimensional Fermi gas. We
derive an explicit expression for the power $P\left( T\right) $ of the
electron-phonon heat transfer which explains the behavior observed in some
experiments including the case of metallic film supported by an insulating
membrane with different acoustic properties. It is shown that at low
temperatures the main contribution is due to the coupling with Lamb's
dilatational and flexural acoustic modes.


title:
FPGA Impementation of Erasure-Only Reed Solomon Decoders for Hybrid-ARQ
  Systems

abstract:
  This paper presents the usage of the Reed Solomon Codes as the Forward Error
Correction (FEC) unit of the Hybrid Automatic Repeat Request (ARQ) methods.
Parametric and flexible FPGA implementation details of such Erasure-Only RS
decoders with high symbol lengths (e.g. GF(2^32)) have been presented. The
design is based on the GF(2m) multiplier logic core operating at a single clock
cycle, where the resource utilization and throughput are both directly
proportional to the number of these cores. For a fixed implementation, the
throughput inversely decreases with the number of erasures to be corrected.
Implementation in Zynq7020 SoC device of an example GF(2^32)-RS Decoder capable
of correcting 64-erasures with a single multiplier resulted in 1641-LUTs and
188-FFs achieving 15Mbps, whereas the design with 8 multipliers resulted in
6128-LUTs and 628-FFs achieving 100Mbps.


title: Klein and Conformal Superspaces, Split Algebras and Spinor Orbits

abstract:
  We discuss $\mathcal{N}=1$ Klein and Klein-Conformal superspaces in $D=(2,2)$
space-time dimensions, realizing them in terms of their functor of points over
the split composition algebra $\mathbb{C}_{s}$. We exploit the observation that
certain split form of orthogonal groups can be realized in terms of matrix
groups over split composition algebras; this leads to a natural interpretation
of the the sections of the spinor bundle in the critical split dimensions
$D=4$, $6$ and $10$ as $\mathbb{C}_{s}^{2}$, $\mathbb{H}_{s}^{2}$ and
$\mathbb{O}_{s}^{2}$, respectively. Within this approach, we also analyze the
non-trivial spinor orbit stratification that is relevant in our construction
since it affects the Klein-Conformal superspace structure.


title: Semi-Supervised Learning on Graphs through Reach and Distance Diffusion

abstract:
  Semi-supervised learning (SSL) is an indispensable tool when there are few
labeled entities and many unlabeled entities for which we want to predict
labels. With graph-based methods, entities correspond to nodes in a graph and
edges represent strong relations. At the heart of SSL algorithms is the
specification of a dense {\em kernel} of pairwise affinity values from the
graph structure. A learning algorithm is then trained on the kernel together
with labeled entities. The most popular kernels are {\em spectral} and include
the highly scalable "symmetric" Laplacian methods, that compute a soft labels
using Jacobi iterations, and "asymmetric" methods including Personalized Page
Rank (PPR) which use short random walks and apply with directed relations, such
as like, follow, or hyperlinks.
  We introduce {\em Reach diffusion} and {\em Distance diffusion} kernels that
build on powerful social and economic models of centrality and influence in
networks and capture the directed pairwise relations that underline social
influence. Inspired by the success of social influence as an alternative to
spectral centrality such as Page Rank, we explore SSL with our kernels and
develop highly scalable algorithms for parameter setting, label learning, and
sampling. We perform preliminary experiments that demonstrate the properties
and potential of our kernels.


title: Structured Feature Learning for Pose Estimation

abstract:
  In this paper, we propose a structured feature learning framework to reason
the correlations among body joints at the feature level in human pose
estimation. Different from existing approaches of modelling structures on score
maps or predicted labels, feature maps preserve substantially richer
descriptions of body joints. The relationships between feature maps of joints
are captured with the introduced geometrical transform kernels, which can be
easily implemented with a convolution layer. Features and their relationships
are jointly learned in an end-to-end learning system. A bi-directional tree
structured model is proposed, so that the feature channels at a body joint can
well receive information from other joints. The proposed framework improves
feature learning substantially. With very simple post processing, it reaches
the best mean PCP on the LSP and FLIC datasets. Compared with the baseline of
learning features at each joint separately with ConvNet, the mean PCP has been
improved by 18% on FLIC. The code is released to the public.


title:
About neutral mesons and particle oscillations in the light of
  field-theoretical prescriptions of Weinberg

abstract:
  By extending the well-known Weinberg's prescriptions on the diagonalization
of the mass term of the Lagrangian without increasing the total number of
entities, we get the following conclusions: the set of neutral $K$-mesons
consists of two elements, $K_{S}^{0}$ and $K_{L}^{0}$; the states $K^{0}$ and
$\bar{K}^{0}$ do not exist as physical objects (in the form of particles or
"particle mixtures"); the absence of the states $K^{0}$ and $\bar{K}^{0}$
destroys the grounds for introducing the notion of their oscillations, further
replicated as the neutrino oscillation concept. The conclusions concerning the
neutral $K$-mesons are also applicable to the neutral $D$-, $B$- and
$B_{s}$-mesons.


title: HL-homotopy of handlebody-links and Milnor's invariants

abstract:
  A handlebody-link is a disjoint union of embeddings of handlebodies in $S^3$
and an HL-homotopy is an equivalence relation on handlebody-links generated by
self-crossing changes. The second author and Ryo Nikkuni classified the set of
HL-homotopy classes of 2-component handlebody-links completely using the
linking numbers for handlebody-links. In this paper, we construct a family of
invariants for HL-homotopy classes of general handlebody-links, by using
Milnor's link-homotopy invariants. Moreover, we give a bijection between the
set of HL-homotopy classes of almost trivial handlebody-links and tensor
product space modulo some general linear actions, especially for 3- or more
component handlebody-links. Through this bijection we construct comparable
invariants of HL-homotopy classes.


title: Higher level vertex operators for $U_q (\hat{\mathfrak{sl}}_2)$

abstract:
  We study graded nonlocal $\underline{\mathsf{q}}$-vertex algebras and we
prove that they can be generated by certain sets of vertex operators. As an
application, we consider the family of graded nonlocal
$\underline{\mathsf{q}}$-vertex algebras $V_{c,1}$, $c\geq 1$, associated with
the principal subspaces $W(c\Lambda_0)$ of the integrable highest weight $U_q
(\hat{\mathfrak{sl}}_2)$-modules $L(c\Lambda_0)$. Using quantum integrability,
we derive combinatorial bases for $V_{c,1}$ and compute the corresponding
character formulae.


title: Crystalline Electric Field and Kondo Effect in SmOs4Sb12

abstract:
  Our ultrasound results obtained in pulsed magnetic fields show that the
filled-skutterudite compound SmOs$_4$Sb$_{12}$ has the $\Gamma_{67}$ quartet
crystalline-electric-field ground state. This fact suggests that the multipolar
degrees of freedom of the $\Gamma_{67}$ quartet play an important role in the
unusual physical properties of this material. On the other hand, the elastic
response below $\approx$ 20 T cannot be explained using the localized
4$f$-electron model, which does not take into account the Kondo effect or
ferromagnetic ordering. The analysis result suggests the presence of a
Kondo-like screened state at low magnetic fields and its suppression at high
magnetic fields above 20 T even at low temperatures.


title: Complexity of equitable tree-coloring problems

abstract:
  A $(q,t)$\emph{-tree-coloring} of a graph $G$ is a $q$-coloring of vertices
of $G$ such that the subgraph induced by each color class is a forest of
maximum degree at most $t.$ A $(q,\infty)$\emph{-tree-coloring} of a graph $G$
is a $q$-coloring of vertices of $G$ such that the subgraph induced by each
color class is a forest.
  Wu, Zhang, and Li introduced the concept of \emph{equitable $(q,
t)$-tree-coloring} (respectively, \emph{equitable $(q, \infty)$-tree-coloring})
which is a $(q,t)$-tree-coloring (respectively, $(q, \infty)$-tree-coloring)
such that the sizes of any two color classes differ by at most one. Among other
results, they obtained a sharp upper bound on the minimum $p$ such that
$K_{n,n}$ has an equitable $(q, 1)$-tree-coloring for every $q\geq p.$
  In this paper, we obtain a polynomial time criterion to decide if a complete
bipartite graph has an equitable $(q,t)$-tree-coloring or an equitable
$(q,\infty)$-tree-coloring. Nevertheless, deciding if a graph $G$ in general
has an equitable $(q,t)$-tree-coloring or an equitable
$(q,\infty)$-tree-coloring is NP-complete.


title: Robust Low-Rank Matrix Estimation

abstract:
  Many results have been proved for various nuclear norm penalized estimators
of the uniform sampling matrix completion problem. However, most of these
estimators are not robust: in most of the cases the quadratic loss function and
its modifications are used. We consider robust nuclear norm penalized
estimators using two well-known robust loss functions: the absolute value loss
and the Huber loss. Under several conditions on the sparsity of the problem
(i.e. the rank of the parameter matrix) and on the regularity of the risk
function sharp and non-sharp oracle inequalities for these estimators are shown
to hold with high probability. As a consequence, the asymptotic behavior of the
estimators is derived. Similar error bounds are obtained under the assumption
of weak sparsity, i.e. the case where the matrix is assumed to be only
approximately low-rank. In all our results we consider a high-dimensional
setting. In this case, this means that we assume $n\leq pq$. Finally, various
simulations confirm our theoretical results.


title: Electronic structure of $2H$-NbSe$_2$ single-layers in the CDW state

abstract:
  A density functional theory study of NbSe$_2$ single-layers in the normal
non-modulated and the $3\times3$ CDW states is reported. We show that, in the
single layer, the CDW barely affects the Fermi surface of the system, thus
ruling out a nesting mechanism as the driving force for the modulation. The CDW
stabilizes levels lying around 1.5 eV below the Fermi level within the Se-based
valence band but having a substantial Nb-Nb bonding character. The absence of
interlayer interactions leads to the suppression of the pancake-like portion of
the bulk Fermi surface in the single-layer. We perform scanning tunneling
microscopy simulations and find that the images noticeably change with the sign
and magnitude of the voltage bias. The atomic corrugation of the Se sublayer
induced by the modulation plays a primary role in leading to these images, but
the electronic reorganization also has an important contribution. The analysis
of the variation of these images with the bias voltage does not support a Fermi
surface nesting mechanism for the CDW. It is also shown that underlying
graphene layers (present in some of the recent experimental work) do not modify
the conduction band, but do affect the shape of the valence band of NbSe$_2$
single-layers. The relevance of these results in understanding recent physical
measurements for NbSe$_2$ single-layers is discussed.


title: Curvature constraints from Large Scale Structure

abstract:
  We modified the CLASS code in order to include relativistic galaxy number
counts in spatially curved geometries; we present the formalism and study the
effect of relativistic corrections on spatial curvature. The new version of the
code is now publicly available. Using a Fisher matrix analysis, we investigate
how measurements of the spatial curvature parameter $\Omega_K$ with future
galaxy surveys are affected by relativistic effects, which influence
observations of the large scale galaxy distribution. These effects include
contributions from cosmic magnification, Doppler terms and terms involving the
gravitational potential. As an application, we consider angle and redshift
dependent power spectra, which are especially well suited for model independent
cosmological constraints. We compute our results for a representative deep,
wide and spectroscopic survey, and our results show the impact of relativistic
corrections on the spatial curvature parameter estimation. We show that
constraints on the curvature parameter may be strongly biased if, in
particular, cosmic magnification is not included in the analysis. Other
relativistic effects turn out to be subdominant in the studied configuration.
We analyze how the shift in the estimated best-fit value for the curvature and
other cosmological parameters depends on the magnification bias parameter, and
find that significant biases are to be expected if this term is not properly
considered in the analysis.


title:
Emission of dispersive waves from a train of dark solitons in optical
  fibers

abstract:
  We report the experimental observation of multiple dispersive waves emitted
in the anomalous dispersion region of an optical fiber from a train of dark
solitons. Each individual dispersive wave can be associated to one particular
dark soliton of the train, using phase-matching arguments involving
higher-order dispersion and soliton velocity. For a large number of dark
solitons (>10), we observe the formation of a continuum associated with the
efficient emission of dispersive waves.


title: Ionospheric current system accompanied by auroral vortex streets

abstract:
  High resolution optical measurements have revealed that a sudden brightening
of aurora and its deformation from an arc-like to a vortex street structure
appear just at the onset of substorm. The instability of Alfv$\acute{\rm e}$n
waves reflected from the ionosphere has been studied by means of
magnetohydrodynamic simulations in order to comprehend the formation of auroral
vortex streets. Our previous work reported that an initially placed arc
intensifies, splits, and deforms into a vortex street during a couple of
minutes, and the prime key is an enhancement of the convection electric field.
This study elaborated physics of the ionospheric horizontal currents related to
the vortex street in the context of so-called Cowling polarization. One
component is due to the perturbed electric field by Alfv$\acute{\rm e}$n waves,
and the other is due to the perturbed electron density (or polarization) in the
ionosphere. It was found that, when a vortex street develops, upward/downward
pair currents in its leading/trailing sides balance with an westward polarized
component of the Hall current; it generates an eastward perturbed component of
the Pedersen current. It was also found that both the perturbed component of
the Hall current and the polarized component of the Pedersen current point
equatorward, penetrating between the pair currents.


title:
A predator-2 prey fast-slow dynamical system for rapid predator
  evolution

abstract:
  We consider adaptive change of diet of a predator population that switches
its feeding between two prey populations. We develop a novel 1 fast--3 slow
dynamical system to describe the dynamics of the three populations amidst
continuous but rapid evolution of the predator's diet choice. The two extremes
at which the predator's diet is composed solely of one prey correspond to two
branches of the three-branch critical manifold of the fast--slow system. By
calculating the points at which there is a fast transition between these two
feeding choices (i.e., branches of the critical manifold), we prove that the
system has a two-parameter family of periodic orbits for sufficiently large
separation of the time scales between the evolutionary and ecological dynamics.
Using numerical simulations, we show that these periodic orbits exist, and that
their phase difference and oscillation patterns persist, when ecological and
evolutionary interactions occur on comparable time scales. Our model also
exhibits periodic orbits that agree qualitatively with oscillation patterns
observed in experimental studies of the coupling between rapid evolution and
ecological interactions.


title:
On the block counting process and the fixation line of exchangeable
  coalescents

abstract:
  We study the block counting process and the fixation line of exchangeable
coalescents. Formulas for the infinitesimal rates of both processes are
provided. It is shown that the block counting process is Siegmund dual to the
fixation line. For exchangeable coalescents restricted to a sample of size n
and with dust we provide a convergence result for the block counting process as
n tends to infinity. The associated limiting process is related to the
frequencies of singletons of the coalescent. Via duality we obtain an analog
convergence result for the fixation line of exchangeable coalescents with dust.
The Dirichlet coalescent and the Poisson-Dirichlet coalescent are studied in
detail.


title: Turbulent transport and entrainment in jets and plumes: a DNS study

abstract:
  We present a new DNS data set for a statistically axisymmetric turbulent jet,
plume and forced plume in a domain of size $40 r_0 \times 40 r_0 \times 60
r_0$, where $r_0$ is the source diameter. The data set provides evidence of the
validity of the Priestley and Ball entrainment model in unstratified
environments (excluding the region near the source), which is corroborated
further by the Wang and Law and Ezzamel \emph{et al.} experimental data sets,
the latter being corrected for a small but influential co-flow that affected
the statistics. We show that the turbulence in the core region of the jet and
the plume are practically indistinguishable, although the invariants of the
anisotropy tensor reveal a significant change in the turbulence near the plume
edge. The DNS data indicates that the turbulent Prandtl number is about 0.7 for
both jets and plumes. For plumes, this value is a result of the difference in
the ratio of the radial turbulent transport of radial momentum and buoyancy.
For jets however, the value originates from a different spread of the buoyancy
and velocity profiles, in spite of the fact that the ratio of radial turbulent
transport terms is approximately unity. The DNS data does not show any evidence
of similarity drift associated with gradual variations in the ratio of buoyancy
profile to velocity profile widths.


title: Some new dynamic Inequality on time scales in three variables

abstract:
  In this paper we obtain the estimates on some dynamic integral inequalities
in three variables which can be used to study certain dynamic equations. We
give some applications to convey the importance of our result.


title: A note on Torelli-type theorems for Gorenstein curves

abstract:
  Using the notion of generalized divisors introduced by Hartshorne, we adapt
the theory of adjoint forms to the case of Gorenstein curves. We show an
infinitesimal Torelli-type theorem for vector bundles on Gorenstein curves. We
also construct explicit counterexamples to the infinitesimal Torelli claim in
the case of a reduced reducible Gorenstein curve.


title:
Rapidity distribution of protons from the potential version of UrQMD
  model and the traditional coalescence afterburner

abstract:
  Rapidity distributions of both E895 proton data at AGS energies and NA49 net
proton data at SPS energies can be described reasonably well with a potential
version of the UrQMD in which mean-field potentials for both pre-formed hadrons
and confined baryons are considered, with the help of a traditional coalescence
afterburner in which one parameter set for both relative distance $R_0$ and
relative momentum $P_0$, (3.8 fm, 0.3 GeV$/$c), is used. Because of the large
cancellation between the expansion in $R_0$ and the shrinkage in $P_0$ through
the Lorentz transformation, the relativistic effect in clusters has little
effect on the rapidity distribution of free (net) protons. Using a
Woods-Saxon-like function instead of a pure logarithmic function as seen by
FOPI collaboration at SIS energies, one can fit well both the data at SIS
energies and the UrQMD calculation results at AGS and SPS energies. Further, it
is found that for central Au+Au or Pb+Pb collisions at top SIS, SPS and RHIC
energies, the proton fractions in clusters are about 33$\%$, 10$\%$, and
0.7$\%$, respectively.


title: Fundamental properties of cooperative contagion processes

abstract:
  We investigate the effects of cooperativity between contagion processes that
spread and persist in a host population. We propose and analyze a dynamical
model in which individuals that are affected by one transmissible agent $A$
exhibit a higher than baseline propensity of being affected by a second agent
$B$ and vice versa. The model is a natural extension of the traditional SIS
(Susceptible-Infected-Susceptible) model used for modeling single contagion
processes. We show that cooperativity changes the dynamics of the system
considerably when cooperativity is strong. The system exhibits discontinuous
phase transitions not observed in single agent contagion, multi-stability, a
separation of the traditional epidemic threshold into different thresholds for
inception and extinction as well as hysteresis. These properties are robust and
are corroborated by stochastic simulations on lattices and generic network
topologies. Finally, we investigate wave propagation and transients in a
spatially extended version of the model and show that especially for
intermediate values of baseline reproduction ratios the system is characterized
by various types of wave-front speeds. The system can exhibit spatially
heterogeneous stationary states for some parameters and negative front speeds
(receding wave fronts). The two agent model can be employed as a starting point
for more complex contagion processes, involving several interacting agents, a
model framework particularly suitable for modeling the spread and dynamics of
microbiological ecosystems in host populations.

categories: physics.soc-ph cond-mat.stat-mech physics.bio-ph q-bio.PE


title: Survey on the geometric Bogomolov conjecture

abstract:
  This is a survey paper of the developments on the geometric Bogomolov
conjecture. We explain the recent results by the author as well as previous
works concerning the conjecture. This paper also includes an introduction to
the height theory over function fields and a quick review on basic notions on
non-archimedean analytic geometry.


title:
Helium-3 production from Pb+Pb collisions at SPS energies with the UrQMD
  model and the traditional coalescence afterburner

abstract:
  A potential version of the UrQMD (UrQMD/M) transport model and a traditional
coalescence model are combined to calculate the production of $^3$He fragments
in central Pb+Pb collisions at SPS energies 20-80 GeV/nucleon. It is found that
the Lorentz transformation in the afterburner influences visibly the $^3$He
yield and should be considered in calculations. The rapidity distribution of
$^3$He multiplicities (including the concave shape) can be described well with
UrQMD/M when it stops during t$_{\rm cut}$=100$\pm$25 fm$/c$ and the
coalescence afterburner with one parameter set of ($R_0$,$P_0$)=(3.8 fm, 0.3
GeV$/$c) is taken into use afterwards.


title:
Effects of photo-neutralization on the emission properties of quantum
  dots

abstract:
  In this paper we investigate the coherence properties of a quantum dot under
two-photon resonant excitation in combination with an additional
photo-neutralization laser. The photo-neutralization increases the efficiency
of the excitation process and thus, the brightness of the source, by a factor
of approximately 1.5 for biexciton-exciton pairs. This enhancement does not
degrade the relevant coherences in the system; neither the single photon
coherence time, nor the coherence of the excitation process.


title: Central limit theorem for linear groups

abstract:
  We prove a central limit theorem for random walks with finite variance on
linear groups.


title:
An explanation of the elliptic flow difference between proton and
  anti-proton from the UrQMD model with hadron potentials

abstract:
  The time evolution of both proton and anti-proton $v_2$ flows from Au+Au
collisions at $\sqrt{s_{NN}}$=7.7 GeV are examined by using both pure cascade
and mean-field potential versions of the UrQMD model. Due to a stronger
repulsion at the early stage introduced by the repulsive potentials and hence
much less annihilation probabilities, anti-protons are frozen out earlier with
smaller $v_2$ values. Therefore, the experimental data of anti-proton $v_2$ as
well as the flow difference between proton and anti-proton can be reasonably
described with the potential version of UrQMD.


title:
Some comments about James Watson's and Chris Holmes' "Approximate Models
  and Robust Decisions": Nonparametric Bayesian clay for robust decision bricks

abstract:
  This note discusses Watson and Holmes (2016) and their pro- posals towards
more robust Bayesian decisions. While we acknowledge and commend the authors
for setting new and all-encompassing prin- ciples of Bayesian robustness, and
we appreciate the strong anchoring of those within a decision-theoretic
referential, we remain uncertain as to which extent such principles can be
applied outside binary de- cisions. We also wonder at the ultimate relevance of
Kullback-Leibler neighbourhoods to characterise robustness and favour
extensions along non-parametric axes.


title: Limit value of dynamic zero-sum games with vanishing stage duration

abstract:
  We consider two person zero-sum games where the players control, at discrete
times {tn} induced by a partition $\Pi$ of R + , a continuous time Markov state
process. We prove that the limit of the values v$\Pi$ exist as the mesh of
$\Pi$ goes to 0. The analysis covers the cases of : 1) stochastic games (where
both players know the state) 2) symmetric no information. The proof is by
reduction to a deterministic differential game.


title: An active attack on a distributed Group Key Exchange system

abstract:
  In this work, we introduce an active attack on a Group Key Exchange protocol
by Burmester and Desmedt. The attacker obtains a copy of the shared key, which
is created in a collaborative manner with the legal users in a communication
group.


title: A spin integral equation for electromagnetic and acoustic scattering

abstract:
  We present a new integral equation for solving the Maxwell scattering problem
against a perfect conductor. The very same algorithm also applies to sound-soft
as well as sound-hard Helmholtz scattering, and in fact the latter two can be
solved in parallel in three dimensions. Our integral equation does not break
down at interior spurious resonances, and uses spaces of functions without any
algebraic or differential constraints. The operator to invert at the boundary
involves a singular integral operator closely related to the three dimensional
Cauchy singular integral, and is bounded on natural function spaces and depend
analytically on the wave number. Our operators act on functions with pairs of
complex two by two matrices as values, using a spin representation of the
fields.


title:
The distribution of refracted L\'evy processes with jumps having
  rational Laplace transforms

abstract:
  We consider a refracted jump diffusion process having two-sided jumps with
rational Laplace transforms. For such a process, by applying a straightforward
but interesting approach, we derive formulas for the Laplace transform of its
distribution. Our formulas are presented in an attractive form and the approach
is novel. In particular, the idea in the application of an approximating
procedure is remarkable. Besides, the results are used to price Variable
Annuities with state-dependent fees.


title:
Performance of the new amplifier-shaper-discriminator chip for the ATLAS
  MDT chambers at the HL-LHC

abstract:
  The Phase-II Upgrade of the ATLAS Muon Detector requires new electronics for
the readout of the MDT drift tubes. The first processing stage, the
Amplifier-Shaper-Discriminator (ASD), determines the performance of the readout
for crucial parameters like time resolution, gain uniformity, efficiency and
noise rejection. An 8-channel ASD chip, using the IBM 130 nm CMOS 8RF-DM
technology, has been designed, produced and tested. The area of the chip is 2.2
x 2.9 square mm size. We present results of detailed measurements as well as a
comparision with simulation results of the chip behaviour at three different
levels of detail.


title:
Spatial asymptotics for the parabolic Anderson models with generalized
  time-space Gaussian noise

abstract:
  Partially motivated by the recent papers of Conus, Joseph and Khoshnevisan
[Ann. Probab. 41 (2013) 2225-2260] and Conus et al. [Probab. Theory Related
Fields 156 (2013) 483-533], this work is concerned with the precise spatial
asymptotic behavior for the parabolic Anderson equation \[\cases{\displaystyle
{\frac{\partial u}{\partial t}}(t,x)={\frac{1}{2}}\Delta
u(t,x)+V(t,x)u(t,x),\cr u(0,x)=u_0(x),}\] where the homogeneous generalized
Gaussian noise $V(t,x)$ is, among other forms, white or fractional white in
time and space. Associated with the Cole-Hopf solution to the KPZ equation, in
particular, the precise asymptotic form \[\lim_{R\to\infty}(\log
R)^{-2/3}\log\max_{|x|\le R}u(t,x)={\frac{3}{4}}\root 3\of {\frac{2t}{3}}\qquad
a.s.\] is obtained for the parabolic Anderson model
$\partial_tu={\frac{1}{2}}\partial_{xx}^2u+\dot{W}u$ with the $(1+1)$-white
noise $\dot{W}(t,x)$. In addition, some links between time and space
asymptotics for the parabolic Anderson equation are also pursued.


title:
Learning Local Descriptors by Optimizing the Keypoint-Correspondence
  Criterion: Applications to Face Matching, Learning from Unlabeled Videos and
  3D-Shape Retrieval

abstract:
  Current best local descriptors are learned on a large dataset of matching and
non-matching keypoint pairs. However, data of this kind is not always available
since detailed keypoint correspondences can be hard to establish. On the other
hand, we can often obtain labels for pairs of keypoint bags. For example,
keypoint bags extracted from two images of the same object under different
views form a matching pair, and keypoint bags extracted from images of
different objects form a non-matching pair. On average, matching pairs should
contain more corresponding keypoints than non-matching pairs. We describe an
end-to-end differentiable architecture that enables the learning of local
keypoint descriptors from such weakly-labeled data. Additionally, we discuss
how to improve the method by incorporating the procedure of mining hard
negatives. We also show how can our approach be used to learn convolutional
features from unlabeled video signals and 3D models.
  Our implementation is available at https://github.com/nenadmarkus/wlrn


title:
The (impossible?) formation of acetaldehyde on the grain surfaces:
  insights from quantum chemical calculations

abstract:
  Complex Organic Molecules (COMs) have been detected in the interstellar
medium (ISM). However, it is not clear whether their synthesis occurs on the
icy surfaces of interstellar grains or via a series of gas-phase reactions. As
a test case of the COMs synthesis in the ISM, we present new quantum chemical
calculations on the formation of acetaldehyde (CH3CHO) from the coupling of the
HCO and CH3 radicals, both in gas phase and on water ice surfaces. The binding
energies of HCO and CH3 on the amorphous water ice were also computed (2333 and
734 K, respectively). Results indicate that, in gas phase, the products could
be either CH3CHO, CH4 + CO, or CH3OCH, depending on the relative orientation of
the two radicals. However, on the amorphous water ice, only the CH4 + CO
product is possible due to the geometrical constraints imposed by the water ice
surface. Therefore, acetaldehyde cannot be synthesized by the CH3 + HCO
coupling on the icy grains. We discuss the implications of these results and
other cases, such as ethylene glycol and dimethyl ether, in which similar
situations can occur, suggesting that formation of these molecules on the grain
surfaces might be unlikely.


title:
Implementation of Chiral Quantum Optics with Rydberg and Trapped-ion
  Setups

abstract:
  We propose two setups for realizing a chiral quantum network, where two-level
systems representing the nodes interact via directional emission into discrete
waveguides, as introduced in T. Ramos et al. [Phys. Rev. A 93, 062104 (2016)].
The first implementation realizes a spin waveguide via Rydberg states in a
chain of atoms, whereas the second one realizes a phonon waveguide via the
localized vibrations of a string of trapped ions. For both architectures, we
show that strong chirality can be obtained by a proper design of synthetic
gauge fields in the couplings from the nodes to the waveguide. In the Rydberg
case, this is achieved via intrinsic spin-orbit coupling in the dipole-dipole
interactions, while for the trapped ions it is obtained by engineered sideband
transitions. We take long-range couplings into account that appear naturally in
these implementations, discuss useful experimental parameters, and analyze
potential error sources. Finally, we describe effects that can be observed in
these implementations within state-of-the-art technology, such as the
driven-dissipative formation of entangled dimer states.

categories: quant-ph cond-mat.other physics.atom-ph physics.optics


title:
Dynamic mineral clouds on HD 189733b I. 3D RHD with kinetic,
  non-equilibrium cloud formation

abstract:
  Observations of exoplanet atmospheres have revealed the presence of cloud
particles in their atmospheres. 3D modelling of cloud formation in atmospheres
of extrasolar planets coupled to the atmospheric dynamics has long been a
challenge. We investigate the thermo-hydrodynamic properties of cloud formation
processes in the atmospheres of hot Jupiter exoplanets. We simulate the dynamic
atmosphere of HD 189733b with a 3D model that couples 3D
radiative-hydrodynamics with a kinetic, microphysical mineral cloud formation
module designed for RHD/GCM exoplanet atmosphere simulations. Our simulation
includes the feedback effects of cloud advection and settling, gas phase
element advection and depletion/replenishment and the radiative effects of
cloud opacity. We model the cloud particles as a mix of mineral materials which
change in size and composition as they travel through atmospheric
thermo-chemical environments. All local cloud properties such as number
density, grain size and material composition are time-dependently calculated.
Gas phase element depletion as a result of cloud formation is included in the
model. In-situ \textit{effective medium theory} and Mie theory is applied to
calculate the wavelength dependent opacity of the cloud component. We present a
3D cloud structure of a chemically complex, gaseous atmosphere of the hot
Jupiter HD 189733b. Mean cloud particle sizes are typically sub-micron
(0.01-0.5 $\mu$m) at pressures less than 1 bar with hotter equatorial regions
containing the smallest grains. Denser cloud structures occur near terminator
regions and deeper ($\sim$ 1 bar) atmospheric layers. Silicate materials such
as MgSiO$_{3}$[s] are found to be abundant at mid-high latitudes, while
TiO$_{2}$[s] and SiO$_{2}$[s] dominate the equatorial regions.


title: On the dimension of the Bergman space for some unbounded domains

abstract:
  A sufficient condition for the infinite dimensionality of the Bergman space
of a pseudoconvex domain is given. This condition holds on any pseudoconvex
domain that has at least one smooth boundary point of finite type in the sense
of D'Angelo.


title: Coexistence of charge and ferromagnetic order in fcc Fe

abstract:
  Phase coexistence phenomena have been intensively studied in strongly
correlated materials where several ordered states simultaneously occur or
compete. Material properties critically depend on external parameters and
boundary conditions, where tiny changes result in qualitatively different
ground states. However, up to date, phase coexistence phenomena have
exclusively been reported for complex compounds composed of multiple elements.
Here we show that charge- and magnetically ordered states coexist in
double-layer Fe on Rh(001). Scanning tunneling microscopy and spectroscopy
measurements reveal periodic charge order stripes below a temperature of 130 K.
Close to liquid helium temperature, they are superimposed by ferromagnetic
domains as observed by spin-polarized scanning tunneling microscopy.
Temperature-dependent measurements reveal a pronounced cross-talk between
charge and spin order at the ferromagnetic ordering temperature about 70 K,
which is successfully modeled within an effective Landau theory including
sixth-order terms. Our results show that subtle balance between structural
modifications can lead to competing ordering phenomena.


title: Some Congruences of a Restricted Bipartition Function

abstract:
  Let $c_N(n)$ denotes the number of bipartitions $(\lambda, \mu)$ of a
positive integer $n$ subject to the restriction that each part of $\mu$ is
divisible by $N$. In this paper, we prove some congruence properties of the
function $c_N(n)$ for $N=7$, 11, and $5l$, for any integer $l\ge 1$, by
employing Ramanujan's theta-function identities.


title: New Developments in Cosmology

abstract:
  In this Thesis I discuss several recent results obtained using the CMB
spectra measured by Planck and several other cosmological probes. Extensions of
the $\Lambda$CDM model are studied, including the presence of an additional
sterile neutrino (motivated by the short-baseline oscillation anomalies) and of
a thermal axion. The degeneracies of the cosmological effects of these
particles with the power spectrum of primordial perturbations are tested. We
also show that the power spectrum of initial scalar perturbations can be
degenerate with the presence of primordial non-Gaussianities, thus affecting
the constraints on the non-Gaussianity parameter $f_{NL}$. Finally, an
effective interaction between dark energy and dark matter is studied.


title: All $SL_2$-tilings come from infinite triangulations

abstract:
  An $SL_2$-tiling is a bi-infinite matrix of positive integers such that each
adjacent 2 by 2 submatrix has determinant 1. Such tilings are infinite
analogues of Conway-Coxeter friezes, and they have strong links to cluster
algebras, combinatorics, mathematical physics, and representation theory.
  We show that, by means of so-called Conway-Coxeter counting, every
$SL_2$-tiling arises from a triangulation of the disc with two, three or four
accumulation points.
  This improves earlier results which only discovered $SL_2$-tilings with
infinitely many entries equal to 1. Indeed, our methods show that there are
large classes of tilings with only finitely many entries equal to 1, including
a class of tilings with no 1's at all. In the latter case, we show that the
minimal entry of a tiling is unique.


title: Convective Wave Breaking in the KdV Equation

abstract:
  The KdV equation is a model equation for waves at the surface of an inviscid
incompressible fluid, and it is well known that the equation describes the
evolution of unidirectional waves of small amplitude and long wavelength fairly
accurately if the waves fall into the Boussinesq regime.
  The KdV equation allows a balance of nonlinear steepening effects and
dispersive spreading which leads to the formation of steady wave profiles in
the form of solitary waves and cnoidal waves. While these wave profiles are
solutions of the KdV equation for any amplitude, it is shown here that there
for both the solitary and the cnoidal waves, there are critical amplitudes for
which the horizontal component of the particle velocity matches the phase
velocity of the wave. Solitary or cnoidal solutions of the KdV equation which
surpass these amplitudes feature incipient wave breaking as the particle
velocity exceeds the phase velocity near the crest of the wave, and the model
breaks down due to violation of the kinematic surface boundary condition.
  The condition for breaking can be conveniently formulated as a convective
breaking criterion based on the local Froude number at the wave crest. This
breaking criterion can also be applied to time-dependent situations, and one
case of interest is the development of an undular bore created by an influx at
a lateral boundary. It is shown that this boundary forcing leads to wave
breaking in the leading wave behind the bore if a certain threshold is
surpassed.


title:
Astrochemistry in external galaxies: how to use molecules as probes of
  their physical conditions

abstract:
  It is now well established that chemistry in external galaxies is rich and
complex. In this review I will explore whether one can use molecular emissions
to determine their physical conditions. There are several considerations to
bear in mind when using molecular emission, and in particular molecular ratios,
to determine the densities, temperatures and energetics of a galaxy, which I
will briefly summarise here. I will then present an example of a study that
uses multiple chemical and radiative transfer analyses in order to tackle the
too often neglected `degeneracies' implicit in the interpretation of molecular
ratios and show that only via such analyses combined with multi-species and
multi-lines high spatial resolution data one can truly make molecules into
powerful diagnostics of the evolution and distribution of molecular gas.


title:
Dynamics of test bodies in scalar-tensor theory and equivalence
  principle

abstract:
  How do test bodies move in scalar-tensor theories of gravitation? We provide
an answer to this question on the basis of a unified multipolar scheme. In
particular, we give the explicit equations of motion for pointlike, as well as
spinning test bodies, thus extending the well-known general relativistic
results of Mathisson, Papapetrou, and Dixon to scalar-tensor theories of
gravity. We demonstrate the validity of the equivalence principle for test
bodies.


title: Holographic Photosynthesis

abstract:
  There are successful applications of the holographic AdS/CFT correspondence
to high energy and condensed matter physics. We apply the holographic approach
to photosynthesis that is an important example of nontrivial quantum phenomena
relevant for life which is being studied in the emerging field of quantum
biology. Light harvesting complexes of photosynthetic organisms are many-body
quantum systems, in which quantum coherence has recently been experimentally
shown to survive for relatively long time scales even at the physiological
temperature despite the decohering effects of their environments.
  We use the holographic approach to evaluate the time dependence of
entanglement entropy and quantum mutual information in the Fenna-Matthews-Olson
(FMO) protein-pigment complex in green sulfur bacteria during the transfer of
an excitation from a chlorosome antenna to a reaction center. It is
demonstrated that the time evolution of the mutual information simulating the
Lindblad master equation in some cases can be obtained by means of a dual
gravity describing black hole formation in the AdS-Vaidya spacetime. The wake
up and scrambling times for various partitions of the FMO complex are
discussed.


title: BPS index and 4d N=2 superconformal field theories

abstract:
  We study the BPS index for the four-dimensional rank-one N=2 superconformal
field theories H_0, H_1, H_2, E_6, E_7, E_8. We consider compactifications of
the E-string theory on T^2 in which these theories arise as low energy limits.
Using this realization we clarify the general structure of the BPS index. The
index is characterized by two exponents and a sequence of invariants. We
determine the exponents and the first few invariants.


title:
The Multi-wavelength Characteristics of the TeV Binary LS I +61$^\circ$
  303

abstract:
  We study the characteristics of the TeV binary LS I +61$^\circ$ 303 in radio,
soft X-ray, hard X-ray, and gamma-ray (GeV and TeV) energies. The long term
variability characteristics are examined as a function of the phase of the
binary period of 26.496 days as well as the phase of the super orbital period
of 1626 days, dividing the observations into a matrix of 10$\times$10 phases of
these two periods. It is found that the long term variability can be described
by a sine function of the super orbital period, with the phase and amplitude
systematically varying with the binary period phase. We also find a definite
wavelength dependent change in this variability description. To understand the
radiation mechanism, we define three states in the orbital/ super orbital phase
matrix and examine the wide band spectral energy distribution. The derived
source parameters indicate that the emission geometry is dominated by a jet
structure showing a systematic variation with the orbital/ super orbital
period. We suggest that LS I +61$^\circ$ 303 is likely to be a micro-quasar
with a steady jet.


title: Some spaces of polynomial knots

abstract:
  In this paper we study the topology of three different kinds of spaces
associated to polynomial knots of degree at most $d$, for $d\geq2$. We denote
these spaces by $\mathcal{O}_d$, $\mathcal{P}_d$ and $\mathcal{Q}_d$. For
$d\geq3$, we show that the spaces $\mathcal{O}_d$ and $\mathcal{P}_d$ are path
connected and the space $\mathcal{O}_d$ has the same homotopy type as $S^2$.
Considering the space $\mathcal{P}=\bigcup_{d\geq2}\mathcal{O}_d$ of all
polynomial knots with the inductive limit topology, we prove that it too has
the same homotopy type as $S^2$. We also show that if two polynomial knots are
path equivalent in $\mathcal{Q}_d$, then they are topologically equivalent.
Furthermore, the number of path components in $\mathcal{Q}_d$ are in multiples
of eight.


title: Back to the past: on the shoulders of an academic search engine giant

abstract:
  A study released by the Google Scholar team found an apparently increasing
fraction of citations to old articles from studies published in the last 24
years (1990-2013). To demonstrate this finding we conducted a complementary
study using a different data source (Journal Citation Reports), metric
(aggregate cited half-life), time spam (2003-2013), and set of categories (53
Social Science subject categories and 167 Science subject categories). Although
the results obtained confirm and reinforce the previous findings, the possible
causes of this phenomenon keep unclear. We finally hypothesize that first page
results syndrome in conjunction with the fact that Google Scholar favours the
most cited documents are suggesting the growing trend of citing old documents
is partly caused by Google Scholar.


title:
Probing the possibility of coexistence of martensite transition and
  half-metallicity in Ni and Co-based full Heusler Alloys : An ab initio
  Calculation

abstract:
  Using first-principles calculations based on density functional theory, we
have studied the mechanical, electronic, and magnetic properties of Heusler
alloys, namely, Ni$_{2}BC$ and Co$_{2}BC$ ($B$ = Sc, Ti, V, Cr and Mn as well
as Y, Zr, Nb, Mo and Tc; $C$ = Ga and Sn). On the basis of electronic structure
(density of states) and mechanical properties (tetragonal shear constant), as
well as magnetic interactions (Heisenberg exchange coupling parameters), we
probe the properties of these materials in detail. We calculate the formation
energy of these alloys in the (face-centered) cubic austenite structure to
probe the stability of all these materials. From the energetic point of view,
we have studied the possibility of the electronically stable alloys having a
tetragonal phase lower in energy compared to the respective cubic phase. A
large number of the magnetic alloys is found to have the cubic phase as their
ground state. On the other hand, for another class of alloys, the tetragonal
phase has been found to have lower energy compared to the cubic phase. Further,
we find that the values of tetragonal shear constant show a consistent trend :
a high positive value for materials not prone to tetragonal transition and low
or negative for others. In the literature, materials, which have been seen to
undergo the martensite transition, are found to be metallic in nature. We probe
here if there is any Heusler alloy which has a tendency to undergo a tetragonal
transition and at the same time possesses a high spin polarization at the Fermi
level. From our study, it is found that out of the four materials, which
exhibit a martensite phase as their ground state, three of these, namely,
Ni$_{2}$MnGa, Ni$_{2}$MoGa and Co$_{2}$NbSn have a metallic nature; on the
contrary, Co$_{2}$MoGa exhibits a high spin polarization.


title:
Duality between Ahlfors-Liouville and Khas'minskii properties for
  nonlinear equations

abstract:
  In recent years, the study of the interplay between (fully) non-linear
potential theory and geometry received important new impulse. The purpose of
this work is to move a step further in this direction by investigating
appropriate versions of parabolicity and maximum principles at infinity for
large classes of non-linear (sub)equations $F$ on manifolds. The main goal is
to show a unifying duality between such properties and the existence of
suitable $F$-subharmonic exhaustions, called Khas'minskii potentials, which is
new even for most of the "standard" operators arising from geometry, and
improves on partial results in the literature. Applications include new
characterizations of the classical maximum principles at infinity (Ekeland,
Omori-Yau and their weak versions by Pigola-Rigoli-Setti) and of conservation
properties for stochastic processes (martingale completeness). Applications to
the theory of submanifolds and Riemannian submersions are also discussed.


title: LIFT: Learned Invariant Feature Transform

abstract:
  We introduce a novel Deep Network architecture that implements the full
feature point handling pipeline, that is, detection, orientation estimation,
and feature description. While previous works have successfully tackled each
one of these problems individually, we show how to learn to do all three in a
unified manner while preserving end-to-end differentiability. We then
demonstrate that our Deep pipeline outperforms state-of-the-art methods on a
number of benchmark datasets, without the need of retraining.


title:
Composition dependence of the glass forming ability in binary mixtures:
  The role of demixing entropy

abstract:
  We present a comparative study of the glass forming ability of binary systems
with varying composition, where the systems have similar global crystalline
structure (CsCl+fcc). Biased Monte Carlo simulations using umbrella sampling
technique shows that the free energy cost to create a CsCl nucleus increases as
the composition of the smaller particles are decreased. We find that the
systems with comparatively lower free energy cost to form CsCl nucleus exhibit
more pronounced pre-crystalline demixing near the liquid/crystal interface. The
structural frustration between the CsCl and fcc crystal demands this demixing.
We show that closer to the equimolar mixture the entropic penalty for demixing
is lower and a glass forming system may crystallize spontaneously when seeded
with a nucleus. This entropic penalty as a function of composition shows a
non-monotonic behavior with a maximum at a composition similar to the well
known Kob-Anderson (KA) model. Although the KA model shows the maximum entropic
penalty and thus maximum frustration against CsCl formation, it also shows a
strong tendency towards crystallization into fcc lattice of the larger "A"
particles which can be explained from the study of the energetics. Thus for
systems closer to the equimolar mixture although it is the requirement of
demixing which provides their stability against crystallization, for KA model
it is not demixing but slow dynamics and structural frustration caused by the
locally favored structure around the smaller "B" particles which make it a good
glass former. Although the glass forming binary systems studied here are quite
similar, differing only in composition, we find that their glass forming
ability cannot be attributed to a single phenomena.


title: Atomic many-body effects and Lamb shifts in alkali metals

abstract:
  We present a detailed study of the Flambaum-Ginges radiative potential method
which enables the accurate inclusion of quantum electrodynamics (QED) radiative
corrections in a simple manner in atoms, ions, and molecules over the range
10<=Z<=120, where Z is the nuclear charge. Calculations are performed for
binding energy shifts to the lowest valence s, p, and d waves over the series
of alkali atoms Na to E119. The high accuracy of the radiative potential method
is demonstrated by comparison with rigorous QED calculations in frozen atomic
potentials, with deviations on the level of 1%. The many-body effects of core
relaxation and second- and higher-order perturbation theory on the interaction
of the valence electron with the core are calculated. The inclusion of
many-body effects tends to increase the size of the shifts, with the
enhancement particularly significant for d waves; for K to E119, the
self-energy shifts for d waves are only an order of magnitude smaller than the
s-wave shifts. It is shown that account of many-body effects is essential for
an accurate description of the Lamb shift.


title: Large linear magnetoresistance in a new Dirac material BaMnBi2

abstract:
  We report the synthesis of high quality single crystals of BaMnBi2 and
investigate the transport properties of the samples. The Hall data reveals
electron-type carriers and a mobility mu(5K) =1500cm2/Vs. The temperature
dependence of magnetization displays behavior that is different from CaMnBi2 or
SrMnBi2 , which suggests the possible different magnetic structure of BaMnBi2.
Angle-dependent magnetoresistance reveals the quasi-two-dimensional Fermi
surface. A crossover from semiclassical MR-H2 dependence in low field to MR-H
dependence in high field is observed in transverse magnetoresistance. Our
results indicate the anisotropic Dirac fermion states in BaMnBi2.


title: Suita conjecture for a punctured torus

abstract:
  For a once-punctured complex torus, we compare the Bergman kernel and the
fundamental metric, by constructing explicitly the Evans-Selberg potential and
discussing its asymptotic behaviors. This work aims to generalize the Suita
type results to potential-theoretically parabolic Riemann surfaces.


title: Time-invariant entanglement and sudden death of non-locality

abstract:
  We investigate both theoretically and experimentally the dynamics of
entanglement and non-locality for two qubits immersed in a global pure
dephasing environment. We demonstrate the existence of a class of states for
which entanglement is forever frozen during the dynamics, even if the state of
the system does evolve. At the same time non-local correlations, quantified by
the violation of the Clauser-Horne-Shimony-Holt (CHSH) inequality, either
undergo sudden death or are trapped during the dynamics.


title: Complementarity of genuine multipartite non-locality

abstract:
  We introduce a new feature of no-signaling (Bell) non-local theories, namely,
when a system of multiple parties manifests genuine non-local correlation, then
there cannot be arbitrarily high non-local correlation among any subset of the
parties. We call this feature, \textit{complementarity of genuine multipartite
non-locality}. We use Svetlichny's criterion for genuine multipartite
non-locality and non-local games to derive the complementarity relations under
no-signaling constraints. We find that the complementarity relations are
tightened for the much stricter quantum constraints. We compare this notion
with the well-known notion of \textit{monogamy of non-locality}. As a
consequence, we obtain tighter non-trivial monogamy relations that take into
account genuine multipartite non-locality. Furthermore, we provide numerical
evidence showcasing this feature using a bipartite measure and several other
well-known tripartite measures of non-locality.


title: Detailed Chromospheric Activity Nature of KIC 9641031

abstract:
  This study depends on KIC 9641031 eclipsing binary system with a
chromospherically active component. There are three type variations, such as
geometrical variations due to eclipses, sinusoidal variations due to the
rotational modulations and also flares, in the light curves obtained with the
data taken from the Kepler Mission Database. Taking into account results
obtained from KIC 9641031's observations in the Kepler Mission Database, we
present and discuss the details of chromospheric activity. The sinusoidal light
variations due to rotational modulation and the flare events were modelled
separately. 92 different data subsets separated using the analytic models
described in the literature were modelled separately to obtain the cool spot
configuration. It is seen that just one component of the system is
chromospherically active star. On this component, there are two active regions
separated by about 180 deg longitudinally between the latitudes of +50 deg and
+100 deg, whose locations and forms are rapidly changing in short time
intervals. 240 flares were detected and their parameters were computed. Using
these parameters, the One Phase Exponential Association (hereafter OPEA)
function model was derived, in which the Plateau value as a saturation level of
the flare-equivalent duration was found to be 1.232 s for KIC 9641031, and
half-life parameter was found to be 2291.7 s. The flare frequency N1 was found
to be 0.41632 h-1, while the flare frequency N2 was found to be 0.00027.
Considering these parameters together with the orbital period variations
demonstrates that the period variations directly depend on chromospheric
activity. Comparing the system with its analogue it is seen that the activity
level of KIC 9641031 is remarkablely lower than the others.


title:
Closed star product on noncommutative $\mathbb{R}^3$ and scalar field
  dynamics

abstract:
  We consider the noncommutative space $\mathbb{R}^3_\theta$, a deformation of
$\mathbb{R}^3$ for which the star product is closed for the trace functional.
We study one-loop IR and UV properties of the 2-point function for real and
complex noncommutative scalar field theories with quartic interactions and
Laplacian on $\mathbb{R}^3$ as kinetic operator. We find that the 2-point
functions for these noncommutative scalar field theories have no IR
singularities in the external momenta, indicating the absence of UV/IR mixing.
We also find that the 2-point functions are UV finite with the deformation
parameter $\theta$ playing the role of a natural UV cut-off. The possible
origin of the absence of UV/IR mixing in noncommutative scalar field theories
on $\mathbb{R}^3_\theta$ as well as on $\mathbb{R}^3_\lambda $, another
deformation of $\mathbb{R}^3$, is discussed.


title:
deepTarget: End-to-end Learning Framework for microRNA Target Prediction
  using Deep Recurrent Neural Networks

abstract:
  MicroRNAs (miRNAs) are short sequences of ribonucleic acids that control the
expression of target messenger RNAs (mRNAs) by binding them. Robust prediction
of miRNA-mRNA pairs is of utmost importance in deciphering gene regulations but
has been challenging because of high false positive rates, despite a deluge of
computational tools that normally require laborious manual feature extraction.
This paper presents an end-to-end machine learning framework for miRNA target
prediction. Leveraged by deep recurrent neural networks-based auto-encoding and
sequence-sequence interaction learning, our approach not only delivers an
unprecedented level of accuracy but also eliminates the need for manual feature
extraction. The performance gap between the proposed method and existing
alternatives is substantial (over 25% increase in F-measure), and deepTarget
delivers a quantum leap in the long-standing challenge of robust miRNA target
prediction.


title: Galactic masers: kinematics, spiral structure and the disk dynamic state

abstract:
  We applied the currently most comprehensive version of the
statistical-parallax technique to derive kinematical parameters of the maser
sample with 136 sources. Our kinematic model comprises the overall rotation of
the Galactic disk and the spiral density-wave effects. We take into account the
variation of radial velocity dispersion with Galactocentric distance. The best
description of the velocity field is provided by the model with constant radial
and vertical velocity dispersions, $(\sigma U0, \sigma W0) \approx (9.4 \pm
0.9~, 5.9 \pm 0.8)~ km/s$. We compute flat Galactic rotation curve over the
Galactocentric distance interval from 3 to 15 kpc and find the local circular
rotation velocity to be $ V_0 \approx (235-238)$~ km/s $\pm 7$~ km/s. We also
determine the parameters of the four-armed spiral pattern (pitch angle $i
\approx (-10.4 \pm 0.3)^\circ$ and the phase of the Sun $\chi_0 \approx (125
\pm 10) ^\circ$). The radial and tangential spiral perturbations are about $f_R
\approx (-6.9 \pm 1.4)$~km/s, $f_\Theta \approx (+2.8 \pm 1.0$) ~km/s. The
kinematic data yield a solar Galactocentric distance of $R_0 \approx (8.24 \pm
0.12)~kpc$. Based on rotation curve parameters and the asymmetric drift we
Infer the exponential disk scale $H_D \approx (2.7 \pm 0.2)$ ~kpc under
assumption of marginal stability of the intermediate-age disk, and finally we
estimate the minimum local surface disk density, $\Sigma (R_0) > (26 \pm 3) ~
M_\odot pc^{-2}$.


title:
Mixed Hodge structures on the intersection homotopy type of complex
  varieties with isolated singularities

abstract:
  A homotopical treatment of intersection cohomology recently developed by
Chataur-Saralegui-Tanr\'e associates a "perverse algebraic model" to every
topological pseudomanifold, extending Sullivan's presentation of rational
homotopy to intersection cohomology. In this context, there is a notion of
"intersection-formality", measuring the vanishing of Massey products in
intersection cohomology. In the present paper, we study the perverse algebraic
model of complex projective varieties with isolated singularities. We endow
such invariant with natural mixed Hodge structures. This allows us to prove
some intersection-formality results for large families of complex projective
varieties, such as isolated surface singularities and varieties of arbitrary
dimension with ordinary isolated singularities.


title: Manifestations of Strange Metallicity in Inelastic Neutron Studies

abstract:
  Emergence of an orbital-selective Mott phase (OSMP) found in multi-band
correlated systems leads to a non-perturbative obliteration of the Landau Fermi
liquid in favor of a novel metallic state exhibiting anomalous infra-red
(branch-cut) continuum features in one- and two-particle responses. We use a
combination of $(1)$ dynamical mean-field theory (DMFT) using the
continuous-time-quantum Monte-Carlo (CTQMC) solver for a two-band Hubbard model
and $(2)$ analytic arguments from an effective bosonized description to
investigate strange metal features in inelastic neutron scattering studies for
cuprates. Specifically, restricting our attention to symmetry-unbroken metallic
phase, we study how emergence of an OSMP leads to qualitatively novel features
in $(i)$ the dynamical spin and charge susceptibilities, and $(ii)$ phonon
response in the strange metal, in detail. Extinction of the Landau
quasiparticle pole in the one-electron propagator in the OSMP mirrors the
emergence of critical liquid-like features in the dynamical spin response. This
novel finding also underpins truly anomalous features in phonon dynamics, which
we investigate by coupling half-breathing phonons in the specific context of
cuprates to such a multi-electronic continuum. We find good understanding of
various anomalies encountered in experimental inelastic neutron scattering
studies in the near-optimally doped cuprates. We also extend these results in a
phenomenological way to argue how modification of phonon spectra in underdoped
cuprates can be reconciled with proposals for a nematic-plus-d-wave charge
modulation order in the pseudogap state. We also study the issue of the
dominant "pair glue" contributions to superconductivity, allowing us to
interpret recent pump-probe results within a strange metal scenario.


title:
Strong topologies for spaces of smooth maps with infinite-dimensional
  target

abstract:
  In this article we study two "strong" topologies for spaces of smooth
functions from a finite-dimensional manifold to a (possibly
infinite-dimensional) manifold modeled on a locally convex space. Namely, we
construct Whitney type topologies for these spaces and a certain refinement
corresponding to Michor's $\mathcal{FD}$-topology. Then we establish the
continuity of certain mappings between spaces of smooth mappings, e.g.\ the
continuity of the joint composition map. As a first application we prove that
the bisection group of an arbitrary Lie groupoid (with finite-dimensional base)
is a topological group (with respect to these topologies). For the reader's
convenience the article includes also a proof of the folklore fact that the
Whitney topologies defined via jet bundles coincide with the ones defined via
local charts.


title: Bilingual Learning of Multi-sense Embeddings with Discrete Autoencoders

abstract:
  We present an approach to learning multi-sense word embeddings relying both
on monolingual and bilingual information. Our model consists of an encoder,
which uses monolingual and bilingual context (i.e. a parallel sentence) to
choose a sense for a given word, and a decoder which predicts context words
based on the chosen sense. The two components are estimated jointly. We observe
that the word representations induced from bilingual data outperform the
monolingual counterparts across a range of evaluation tasks, even though
crosslingual information is not available at test time.