title: Exploiting synthetic lethal vulnerabilities for cancer therapy

abstract:
  Synthetic lethality refers to a combination of two or more genetic events
(typically affecting different genes) in which the co-occurrence of the events
results in cell or organismal lethality, but the cell or organism remains
viable when only one of the events occurs. Synthetic lethality has gained
attention in the last few years for its value in selective killing of cancer
cells: by targeting the synthetic lethal partner of an altered gene in cancer,
only the cancer cells can be killed while sparing normal cells. In a recent
study, we showed that mutual exclusive combinations of genetic events in cancer
hint at naturally occurring synthetic lethal combinations, and therefore by
systematically mining for these combinations we can identify novel therapeutic
targets for cancer. Based on this, we had identified a list of 718 genes that
are mutually exclusive to six DNA-damage response genes in cancer. Here, we
extend these results to identify a subset of 43 genes whose over-expression
correlates with significantly poor survival in estrogen receptor-negative
breast cancers, and thus provide a promising list of potential therapeutic
targets and/or biomarkers.


title:
Dynamic Virtual Machine Management via Approximate Markov Decision
  Process

abstract:
  Efficient virtual machine (VM) management can dramatically reduce energy
consumption in data centers. Existing VM management algorithms fall into two
categories based on whether the VMs' resource demands are assumed to be static
or dynamic. The former category fails to maximize the resource utilization as
they cannot adapt to the dynamic nature of VMs' resource demands. Most
approaches in the latter category are heuristical and lack theoretical
performance guarantees. In this work, we formulate dynamic VM management as a
large-scale Markov Decision Process (MDP) problem and derive an optimal
solution. Our analysis of real-world data traces supports our choice of the
modeling approach. However, solving the large-scale MDP problem suffers from
the curse of dimensionality. Therefore, we further exploit the special
structure of the problem and propose an approximate MDP-based dynamic VM
management method, called MadVM. We prove the convergence of MadVM and analyze
the bound of its approximation error. Moreover, MadVM can be implemented in a
distributed system, which should suit the needs of real data centers. Extensive
simulations based on two real-world workload traces show that MadVM achieves
significant performance gains over two existing baseline approaches in power
consumption, resource shortage and the number of VM migrations. Specifically,
the more intensely the resource demands fluctuate, the more MadVM outperforms.


title:
Persistence probabilities in centered, stationary, Gaussian processes in
  discrete time

abstract:
  Lower bounds for persistence probabilities of stationary Gaussian processes
in discrete time are obtained under various conditions on the spectral measure
of the process. Examples are given to show that the persistence probability can
decay faster than exponentially. It is shown that if the spectral measure is
not singular, then the exponent in the persistence probability cannot grow
faster than quadratically. An example that appears (from numerical evidence) to
achieve this lower bound is presented.


title: The Stokes phenomenon and the Lerch zeta function

abstract:
  We examine the exponentially improved asymptotic expansion of the Lerch zeta
function $L(\lambda,a,s)=\sum_{n=1}^\infty \exp (2\pi ni\lambda)/(n+a)^s$ for
large complex values of $a$, with $\lambda$ and $s$ regarded as parameters. It
is shown that an infinite number of subdominant exponential terms switch on
across the Stokes lines $\arg\,a=\pm\pi/2$. In addition, it is found that the
transition across the upper and lower imaginary $a$-axes is associated, in
general, with unequal scales. Numerical calculations are presented to confirm
the theoretical predictions.


title:
Hypersurfaces d'un fibr\'e vectoriel Riemannien \`a courbures moyennes
  verticale et horizontale prescrites

abstract:
  Let M be a compact Riemannian manifold without boundary and let E be a
Riemannian vector bundle over M. If $\Sigma$ denotes the sphere subbundle of E,
we look for embeddings of $\Sigma$ into E admitting a prescribed mean
curvatures of various type.


title:
Reversible Logic Circuit Complexity Analysis via Functional
  Decomposition

abstract:
  Reversible computation is gaining increasing relevance in the context of
several post-CMOS technologies, the most prominent of those being Quantum
computing. One of the key theoretical problem pertaining to reversible logic
synthesis is the upper bound of the gate count. Compared to the known bounds,
the results obtained by optimal synthesis methods are significantly less. In
this paper, we connect this problem with the multiplicative complexity analysis
of classical Boolean functions. We explore the possibility of relaxing the
ancilla and if that approach makes the upper bound tighter. Our results are
negative. The ancilla-free synthesis methods by using transformations and by
starting from an Exclusive Sum-of-Product (ESOP) formulation remain,
theoretically, the synthesis methods for achieving least gate count for the
cases where the number of variables $n$ is $< 8$ and otherwise, respectively.


title: A new high pressure form of Ba3NiSb2O9

abstract:
  The interest in finding experimental realization of Quantum Liquid Spin
phases leads us to elaborate polycrystalline samples of the 6H-B phase of
Ba3NiSb2O9 . This structure shows Ni triangular planes and the first magnetic
characterizations confirm the absence of any magnetic order as expected for
QLS. The samples were synthesized by treatment under HP-HT of the 6H-A phase of
Ba3NiSb2O9. The optimized synthesis conditions were 2.5 GPa and 620{\deg}C. By
combining several technics as XRD, NPD and TEM we show that even the obtained
compound is in fact a new form of Ba3NiSb2O9, that corresponds to a new
stacking along c. This preserves the presence of Ni planes but results in a
loss of the hexagonal symmetry. The TEM is helpful to conclude to a trigonal
symmetry at a scale of 10nm.


title:
Quantum Melting of Magnetic Order in an Organic Dimer-Mott Insulating
  System

abstract:
  Quantum entanglement effects between the electronic spin and charge degrees
of freedom are examined in an organic molecular solid, termed a dimer-Mott
insulating system, in which molecular dimers are arranged in a crystal as
fundamental units. A low energy effective model includes an antisymmetric
exchange interaction, as one of the dominant magnetic interactions. This
interaction favors a 90 degree spin configuration, and competes with the
Heisenberg-type exchange interaction. Stabilities of the magnetic ordered
phases are examined by using the spin-wave theory, as well as the
Schwinger-boson theory. It is found that the spin-charge interaction promotes
an instability of the long-range magnetic ordered state around a parameter
region where two spin-spiral phases are merged. Implication for the quantum
spin liquid state observed in $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$ is
discussed.


title:
Extracting Keyword for Disambiguating Name Based on the Overlap
  Principle

abstract:
  Name disambiguation has become one of the main themes in the Semantic Web
agenda. The semantic web is an extension of the current Web in which
information is not only given well-defined meaning, but also has many purposes
that contain the ambiguous naturally or a lot of thing came with the overlap,
mainly deals with the persons name. Therefore, we develop an approach to
extract keywords from web snippet with utilizing the overlap principle, a
concept to understand things with ambiguous, whereby features of person are
generated for dealing with the variety of web, the web is steadily gaining
ground in the semantic research.


title: On the Sign-imbalance of Permutation Tableaux

abstract:
  Permutation tableaux were introduced by Steingr\'{\i}msson and Williams.
Corteel and Kim defined the sign of a permutation tableau in terms of the
number of unrestricted columns. The sign-imbalance of permutation tableaux of
length $n$ is the sum of signs over permutation tableaux of length $n$. They
have btained a formula for the sign-imbalance of permutation tableaux of length
$n$ by using generating functions and asked for a combinatorial proof.
Moreover, they raised the question of finding a sign-imbalance formula for type
$B$ permutation tableaux introduced by Lam and Williams. We define a statistic
$\nwnm$ over permutations and show that the number of unrestricted columns over
permutation tableaux of length $n$ is equally distributed with $\nwnm$ over
permutations of length $n$. This leads to a combinatorial interpretation of the
formula of Corteel and Kim. For type $B$ permutation tableaux, we define the
sign of a type $B$ permutation tableau in term of the number of certain rows
and columns. On the other hand, we construct a bijection between the type $B$
permutation tableaux of length $n$ and symmetric permutations of length $2n$
and we show that the statistic $\nwnm$ over symmetric permutations of length
$2n$ is equally distributed with the number of certain rows and columns over
type $B$ permutation tableaux of length $n$. Based on this correspondence and
an involution on symmetric permutation of length $2n$, we obtain a
sign-imbalance formula for type $B$ permutation tableaux.


title: A Note on Entanglement Entropy, Coherent States and Gravity

abstract:
  The entanglement entropy of a free quantum field in a coherent state is
independent of its stress energy content. We use this result to highlight the
fact that while the Einstein equations for first order variations about a
locally maximally symmetric vacuum state of geometry and quantum fields seem to
follow from Jacobson's principle of maximal vacuum entanglement entropy, their
possible derivation from this principle for the physically relevant case of
finite but small variations remains an open issue. We also apply this result to
the context of Bianchi's identification, independent of unknown Planck scale
physics, of the first order variation of Bekenstein Hawking area with that of
vacuum entanglement entropy. We argue that under certain technical assumptions
this identification seems not to be extendible to the context of finite but
small variations to coherent states. Our particular method of estimation of
entanglement entropy variation reveals the existence of certain contributions
over and above those appearing in Jacobson's and Bianchi's works. We discuss
the sense in which these contributions may be subleading to those already
present in these works.


title:
Collective dynamics of dipolar and multipolar colloids: from passive to
  active systems

abstract:
  This article reviews recent research on the collective dynamical behavior of
colloids with dipolar or multipolar interactions. Indeed, whereas equilibrium
structures and static self-assembly of such systems are now rather well
understood, the past years have seen an explosion of interest in understanding
dynamicals aspects, from the relaxation dynamics of strongly correlated dipolar
networks over systems driven by time-dependent, electric or magnetic fields, to
pattern formation and dynamical control of active, self-propelled systems.
Unraveling the underlying mechanisms is crucial for a deeper understanding of
self-assembly in and out of equilibrium and the use of such particles as
functional devices. At the same time, the complex dynamics of dipolar colloids
poses challenging physical questions and puts forward their role as model
systems for nonlinear behavior in condensed matter physics. Here we attempt to
give an overview of these developments, with an emphasis on theoretical and
simulation studies.


title:
Photocatalytic hydrogen production of Co(OH)2 nanoparticle-coated
  {\alpha}-Fe2O3 nanorings

abstract:
  The production of hydrogen from water using only a catalyst and solar energy
is one of the most challenging and promising outlets for the generation of
clean and renewable energy. Semiconductor photocatalysts for solar hydrogen
production by water photolysis must employ stable, non-toxic, abundant and
inexpensive visible-light absorbers capable of harvesting light photons with
adequate potential to reduce water. Here, we show that a-Fe2O3 can meet these
requirements by means of using hydrothermally prepared nanorings. These iron
oxide nanoring photocatalysts proved capable of producing hydrogen efficiently
without application of an external bias. In addition, Co(OH)2 nanoparticles
were shown to be efficient co-catalysts on the nanoring surface by improving
the efficiency of hydrogen generation. Both nanoparticle-coated and uncoated
nanorings displayed superior photocatalytic activity for hydrogen evolution
when compared with TiO2 nanoparticles, showing themselves to be promising
materials for water-splitting using only solar light.


title:
A nonparametric copula density estimator incorporating information on
  bivariate marginals

abstract:
  We propose a copula density estimator that can include information on
bivariate marginals when the information is available. We use B-splines for
copula density approximation and include information on bivariate marginals via
a penalty term. Our estimator satisfies the constraints for a copula density.
Under mild conditions, the proposed estimator is consistent.


title:
DNA-inspired online behavioral modeling and its application to spambot
  detection

abstract:
  We propose a strikingly novel, simple, and effective approach to model online
user behavior: we extract and analyze digital DNA sequences from user online
actions and we use Twitter as a benchmark to test our proposal. We obtain an
incisive and compact DNA-inspired characterization of user actions. Then, we
apply standard DNA analysis techniques to discriminate between genuine and
spambot accounts on Twitter. An experimental campaign supports our proposal,
showing its effectiveness and viability. To the best of our knowledge, we are
the first ones to identify and adapt DNA-inspired techniques to online user
behavioral modeling. While Twitter spambot detection is a specific use case on
a specific social media, our proposed methodology is platform and technology
agnostic, hence paving the way for diverse behavioral characterization tasks.


title: On the Chiral imbalance and Weibel Instabilities

abstract:
  We study the chiral-imbalance and the Weibel instabilities in presence of the
quantum anomaly using the Berry-curvature modified kinetic equation. We argue
that in many realistic situations, e.g. relativistic heavy-ion collisions, both
the instabilities can occur simultaneously. The Weibel instability depends on
the momentum anisotropy parameter $\xi$ and the angle ($\theta_n$) between the
propagation vector and the anisotropy direction. It has maximum growth rate at
$\theta_n=0$ while $\theta_n=\pi/2$ corresponds to a damping. On the other hand
the pure chiral-imbalance instability occurs in an isotropic plasma and depends
on difference between the chiral chemical potentials of right and left-handed
particles. It is shown that when $\theta_n=0$, only for a very small values of
the anisotropic parameter $\xi\sim \xi_c$, growth rates of the both
instabilities are comparable. For the cases $\xi_c<\xi\ll1$, $\xi\approx 1$ or
$\xi \geq 1$ at $\theta_n=0$, the Weibel modes dominate over the
chiral-imbalance instability if $\mu_5/T\leq1$. However, when $\mu_5/T\geq1$,
it is possible to have dominance of the chiral-imbalance modes at certain
values of $\theta_n$ for an arbitrary $\xi$.


title:
Multiple critical gravitational collapse of charged scalar with
  reflecting wall

abstract:
  In this paper, we present the results on the gravitational collapse of
charged massless scalar field in asymptotically flat spacetime with a perfectly
reflecting wall. Differing from previous works, we study the system in the
double null coordinates, by which we could simulate the system until the black
hole forms with higher precision but less performance time. We investigate the
influence of charge on the black hole formation and the scaling behavior near
the critical collapses. The gapless and gapped critical behaviors for black
hole mass and charge are studied numerically. We find that they satisfy the
scaling laws for critical gravitational collapse but the gapped critical
behavior is different from its AdS counterpart.


title: Proving the existence of numerically detected planar limit cycles

abstract:
  This paper deals with the problem of location and existence of limit cycles
for real planar polynomial differential systems. We provide a method to
construct Poincar\'e--Bendixson regions by using transversal curves, that
enables us to prove the existence of a limit cycle that has been numerically
detected. We apply our results to several known systems, like the Brusselator
one or some Li\'{e}nard systems, to prove the existence of the limit cycles and
to locate them very precisely in the phase space. Our method, combined with
some other classical tools can be applied to obtain sharp bounds for the
bifurcation values of a saddle-node bifurcation of limit cycles, as we do for
the Rychkov system.


title: New explanation of Raman peak redshift in nanoparticles

abstract:
  In this letter, we propose a new model that explains the Raman peak downshift
observed in nanoparticles with respect to bulk materials. The proposed model
takes into account discreteness of the vibrational spectra of nanoparticles.
For crystals with a cubic lattice (Diamond, Silicon, Germanium) we give a
relation between the displacement of Raman peak position and the size of
nanoparticles. The proposed model does not include any uncertain parameters,
unlike the conventionally used phonon confinement model (PCM), and can be
employed for unambiguous nanoparticles size estimation.


title: Counting master integrals: Integration by parts vs. functional equations

abstract:
  We illustrate the usefulness of functional equations in establishing
relationships between master integrals under the integration-by-parts reduction
procedure by considering a certain two-loop propagator-type diagram as an
example.


title:
A description of Gorenstein projective modules over the tensor products
  of algebras

abstract:
  Let $A$ be a coherent algebra and $B$ be a finite-dimensional Gorenstein
algebra over a field $k$. We describe finitely presented Gorenstein projective
$A\otimes_k B$-modules in terms of their underlying onesided modules. Moreover,
if the global dimension of $B$ is finite, we give a more precise description of
finitely presented Gorenstein projective $A\otimes_k B$-modules.


title:
An application of internal objects to microlocal analysis in generalized
  function algebras

abstract:
  We illustrate the use of internal objects in the nonlinear theory of
generalized functions by means of an application to microlocal analysis in
Colombeau algebras.


title: A skyrmion-based spin-torque nano-oscillator

abstract:
  A model for a spin-torque nano-oscillator based on the self-sustained
oscillation of a magnetic skyrmion is presented. The system involves a circular
nanopillar geometry comprising an ultrathin film free magnetic layer with a
strong Dzyaloshinkii-Moriya interaction and a polariser layer with a
vortex-like spin configuration. It is shown that spin-transfer torques due to
current flow perpendicular to the film plane leads to skyrmion gyration that
arises from a competition between geometric confinement due to boundary edges
and the vortex-like polarisation of the spin torques. A phenomenology for such
oscillations is developed and quantitative analysis using micromagnetics
simulations is presented. It is also shown that weak disorder due to random
anisotropy variations does not influence the main characteristics of the
steady-state gyration.


title:
Existence, uniqueness and optimal regularity results for very weak
  solutions to nonlinear elliptic systems

abstract:
  We establish existence, uniqueness and optimal regularity results for very
weak solutions to certain nonlinear elliptic boundary value problems. We
introduce structural asymptotic assumptions of Uhlenbeck type on the
nonlinearity, which are sufficient and in many cases also necessary for
building such a theory. We provide a unified approach that leads qualitatively
to the same theory as that one available for linear elliptic problems with
continuous coeffcients, e.g. the Poisson equation. The result is based on
several novel tools that are of independent interest: local and global
estimates for (non)linear elliptic systems in weighted Lebesgue spaces with
Muckenhoupt weights, a generalization of the celebrated div{curl lemma for
identification of a weak limit in border line spaces and the introduction of a
Lipschitz approximation that is stable in weighted Sobolev spaces.


title: Refractive Index of p-SnS Thin Films and its Dependence on Defects

abstract:
  Tin sulphide thin films of p-type conductivity were grown on glass
substrates. The refractive index of the as grown films, calculated using both
Transmission and ellipsometry data were found to follow the Sellmeier
dispersion model. The improvement in the dispersion data obtained using
ellipsometry was validated by Wemple-Dedomenico (WDD) single oscillator model
fitting. The optical properties of the films were found to be closely related
to the structural properties of the films. The band-gap, its spread and
appearance of defect levels within the band-gap intimately controls the
refractive index of the films.


title: Relativistic structure formation models and gravitoelectromagnetism

abstract:
  In the framework of Lagrangian perturbation theory in general relativity we
discuss the possibility to split the Einstein equations, written in terms of
spatial Cartan coframes within a 3+1 foliation of spacetime, into
gravitoelectric and gravitomagnetic parts. While the former reproduces the full
hierarchy of the Newtonian perturbation solutions, the latter contains
non-Newtonian aspects like gravitational waves. This split can be understood
and made unique through the Hodge decomposition of Cartan coframe fields.


title: Existence of very weak solutions to elliptic systems of p-Laplacian type

abstract:
  We study vector valued solutions to non-linear elliptic partial differential
equations with $p$-growth. Existence of a solution is shown in case the right
hand side is the divergence of a function which is only $q$ integrable, where
$q$ is strictly below but close to the duality exponent $p'$. It implies that
possibly degenerate operators of $p$-Laplacian type are well posed in a larger
class then the natural space of existence. The key novelty here is a refined a
priori estimate, that recovers a duality relation between the right hand side
and the solution in terms of weighted Lebesgue spaces.


title:
Unconventional high-energy-state contribution to the Cooper pairing in
  under-doped copper-oxide superconductor HgBa$_2$Ca$_2$Cu$_3$O$_{8+\delta}$

abstract:
  We study the temperature-dependent electronic B1g Raman response of a
slightly under-doped single crystal HgBa$_2$Ca$_2$Cu$_3$O$_{8+\delta}$ with a
superconducting critical temperature Tc=122 K. Our main finding is that the
superconducting pair-breaking peak is associated with a dip on its
higher-energy side, disappearing together at Tc. This result hints at an
unconventional pairing mechanism, whereas spectral weight lost in the dip is
transferred to the pair-breaking peak at lower energies. This conclusion is
supported by cellular dynamical mean-field theory on the Hubbard model, which
is able to reproduce all the main features of the B1g Raman response and
explain the peak-dip behavior in terms of a nontrivial relationship between the
superconducting and the pseudo gaps.


title: Jiang-Su Algebra as a Fra\"iss\'e Limit

abstract:
  In this paper, we give a self-contained and quite elementary proof that the
class of all dimension drop algebras together with their distinguished faithful
traces forms a Fra\"iss\'e class with the Jiang-Su algebra as its limit. We
also show that the UHF algebras can be realized as Fra\"iss\'e limits of
classes of C*-algebras of matrix-valued continuous functions on $[0, 1]$ with
faithful traces.


title: Market correlation structure changes around the Great Crash

abstract:
  We perform a comparative analysis of the Chinese stock market around the
occurrence of the 2008 crisis based on the random matrix analysis of
high-frequency stock returns of 1228 stocks listed on the Shanghai and Shenzhen
stock exchanges. Both raw correlation matrix and partial correlation matrix
with respect to the market index in two time periods of one year are
investigated. We find that the Chinese stocks have stronger average correlation
and partial correlation in 2008 than in 2007 and the average partial
correlation is significantly weaker than the average correlation in each
period. Accordingly, the largest eigenvalue of the correlation matrix is
remarkably greater than that of the partial correlation matrix in each period.
Moreover, each largest eigenvalue and its eigenvector reflect an evident market
effect, while other deviating eigenvalues do not. We find no evidence that
deviating eigenvalues contain industrial sectorial information. Surprisingly,
the eigenvectors of the second largest eigenvalues in 2007 and of the third
largest eigenvalues in 2008 are able to distinguish the stocks from the two
exchanges. We also find that the component magnitudes of the some largest
eigenvectors are proportional to the stocks' capitalizations.


title: One-loop effective lagrangians after matching

abstract:
  We discuss the limitations of the covariant derivative expansion prescription
advocated to compute the one-loop Standard Model (SM) effective lagrangian when
the heavy fields couple linearly to the SM. In particular, one-loop
contributions resulting from the exchange of both heavy and light fields must
be explicitly taken into account through matching because the proposed
functional approach alone does not account for them. We review a simple case
with a heavy scalar singlet of charge $-1$ to illustrate the argument. As two
other examples where this matching is needed and this functional method gives a
vanishing result, up to renormalization of the heavy sector parameters, we
re-evaluate the one-loop corrections to the T--parameter due to a heavy scalar
triplet with vanishing hypercharge coupling to the Brout-Englert-Higgs boson
and to a heavy vector-like quark singlet of charged $2/3$ mixing with the top
quark, respectively. In all cases we make use of a new code for matching
fundamental and effective theories in models with arbitrary heavy field
additions.


title: Higher Auslander correspondence for dualizing $R$-varieties

abstract:
  Let $R$ be a commutative artinian ring. We extend higher Auslander
correspondence from Artin $R$-algebras of finite representation type to
dualizing $R$-varieties. More precisely, for a positive integer $d$, we show
that a dualizing $R$-variety is $d$-abelian if and only if it is a
$d$-Auslander dualizing $R$-variety if and only if it is equivalent to a
$d$-cluster-tilting subcategory of the category of finitely presented modules
over a dualizing $R$-variety.


title:
Concomitant Hamiltonian and topological structures of extended
  magnetohydrodynamics

abstract:
  The paper describes the unique geometric properties of ideal
magnetohydrodynamics (MHD), and demonstrates how such features are inherited by
extended MHD, viz. models that incorporate two-fluid effects (the Hall term and
electron inertia). The generalized helicities, and other geometric expressions
for these models are presented in a topological context, emphasizing their
universal facets. Some of the results presented include: the generalized Kelvin
circulation theorems; the existence of two Lie-dragged 2-forms; and two
concomitant helicities that can be studied via the Jones polynomial, which is
widely utilized in Chern-Simons theory. The ensuing commonality is traced to
the existence of an underlying Hamiltonian structure for all the extended MHD
models, exemplified by the presence of a unique noncanonical Poisson bracket,
and its associated energy.

categories: physics.plasm-ph astro-ph.IM math-ph math.MP physics.flu-dyn


title:
Rapid, broadband spectroscopic temperature measurement of CO2 using VIPA
  spectroscopy

abstract:
  Time-resolved spectroscopic temperature measurements of a sealed carbon
dioxide sample cell were realized with an optical frequency comb combined with
a two-dimensional dispersive spectrometer. A supercontinuum laser source based
on an erbium fiber mode-locked laser was employed to generate coherent light
around 2000 nm (5000 cm-1). The laser was passed through a 12-cm long cell
containing CO2, and the transmitted light was analyzed in a virtually imaged
phased array- (VIPA-) based spectrometer. Broadband spectra spanning more than
100 cm-1 with a spectral resolution of roughly 0.075 cm-1 (2.2 GHz) were
acquired with an integration period of 2 ms. The temperature of the CO2 sample
was deduced from fitting a modeled spectrum to the line intensities of the
experimentally acquired spectrum. Temperature dynamics on the time scale of
milliseconds were observed with a temperature resolution of 2.6 K. The
spectroscopically-deduced temperatures agreed with temperatures of the sample
cell measured with a thermistor. Potential applications of this technique
include quantitative measurement of carbon dioxide concentration and
temperature dynamics in gas-phase chemical reactions (e.g., combustion), and
plasma diagnostics.


title:
Brane webs in the presence of an $O5^-$-plane and 4d class S theories of
  type D

abstract:
  In this article we conjecture a relationship between 5d SCFT's, that can be
engineered by 5-brane webs in the presence of an $O5^-$-plane, and 4d class S
theories of type D. The specific relation is that compactification on a circle
of the former leads to the latter. We present evidence for this conjecture. One
piece of evidence, which is also an interesting application of this, is that it
suggests identifications between different class S theories. This can in turn
be tested by comparing their central charges.


title: Wigner-Mott quantum criticality: from 2D-MIT to 3He and Mott organics

abstract:
  Experiments performed over the last twenty years have revealed striking
similarities between several two-dimensional (2D) fermion systems, including
diluted two-dimensional electron liquids in semiconductors, 3He monolayers, and
layered organic charge-transfer salts. These experimental results, together
with recent theoretical advances, provide compelling evidence that strong
electronic correlations - Wigner-Mott physics - dominate the universal features
of the corresponding metal-insulator transitions (MIT). Here we review the
recent theoretical work exploring quantum criticality of Mott and Wigner-Mott
transitions, and argue that most puzzling features of the experiments find
natural and physically transparent interpretation based on this perspective.


title: Source and Physical-Layer Network Coding for Correlated Two-Way Relaying

abstract:
  In this paper, we study a half-duplex two-way relay channel (TWRC) with
correlated sources exchanging bidirectional information. In the case, when both
sources have the knowledge of correlation statistics, a source compression with
physical-layer network coding (SCPNC) scheme is proposed to perform the
distributed compression at each source node. When only the relay has the
knowledge of correlation statistics, we propose a relay compression with
physical-layer network coding (RCPNC) scheme to compress the bidirectional
messages at the relay. The closed-form block error rate (BLER) expressions of
both schemes are derived and verified through simulations. It is shown that the
proposed schemes achieve considerable improvements in both error performance
and throughput compared with the conventional non-compression scheme in
correlated two-way relay networks (CTWRNs).


title: SCOPE: Scalable Composite Optimization for Learning on Spark

abstract:
  Many machine learning models, such as logistic regression~(LR) and support
vector machine~(SVM), can be formulated as composite optimization problems.
Recently, many distributed stochastic optimization~(DSO) methods have been
proposed to solve the large-scale composite optimization problems, which have
shown better performance than traditional batch methods. However, most of these
DSO methods are not scalable enough. In this paper, we propose a novel DSO
method, called \underline{s}calable \underline{c}omposite
\underline{op}timization for l\underline{e}arning~({SCOPE}), and implement it
on the fault-tolerant distributed platform \mbox{Spark}. SCOPE is both
computation-efficient and communication-efficient. Theoretical analysis shows
that SCOPE is convergent with linear convergence rate when the objective
function is convex. Furthermore, empirical results on real datasets show that
SCOPE can outperform other state-of-the-art distributed learning methods on
Spark, including both batch learning methods and DSO methods.


title: Convolutional Pose Machines

abstract:
  Pose Machines provide a sequential prediction framework for learning rich
implicit spatial models. In this work we show a systematic design for how
convolutional networks can be incorporated into the pose machine framework for
learning image features and image-dependent spatial models for the task of pose
estimation. The contribution of this paper is to implicitly model long-range
dependencies between variables in structured prediction tasks such as
articulated pose estimation. We achieve this by designing a sequential
architecture composed of convolutional networks that directly operate on belief
maps from previous stages, producing increasingly refined estimates for part
locations, without the need for explicit graphical model-style inference. Our
approach addresses the characteristic difficulty of vanishing gradients during
training by providing a natural learning objective function that enforces
intermediate supervision, thereby replenishing back-propagated gradients and
conditioning the learning procedure. We demonstrate state-of-the-art
performance and outperform competing methods on standard benchmarks including
the MPII, LSP, and FLIC datasets.


title: Visualizing the motion of graphene nanodrums

abstract:
  Membranes of suspended two-dimensional materials show a large variability in
mechanical properties, in part due to static and dynamic wrinkles. As a
consequence, experiments typically show a multitude of nanomechanical resonance
peaks, which makes an unambiguous identification of the vibrational modes
difficult. Here, we probe the motion of graphene nanodrum resonators with
spatial resolution using a phase-sensitive interferometer. By simultaneously
visualizing the local phase and amplitude of the driven motion, we show that
unexplained spectral features represent split degenerate modes. When taking
these into account, the resonance frequencies up to the eighth vibrational mode
agree with theory. The corresponding displacement profiles however, are
remarkably different from theory, as small imperfections increasingly deform
the nodal lines for the higher modes. The Brownian motion, which is used to
calibrate the local displacement, exhibits a similar mode pattern. The
experiments clarify the complicated dynamic behaviour of suspended
two-dimensional materials, which is crucial for reproducible fabrication and
applications.


title:
Trace-class Monte Carlo Markov Chains for Bayesian Multivariate Linear
  Regression with Non-Gaussian Errors

abstract:
  Let $\pi$ denote the intractable posterior density that results when the
likelihood from a multivariate linear regression model with errors from a scale
mixture of normals is combined with the standard non-informative prior. There
is a simple data augmentation algorithm (based on latent data from the mixing
density) that can be used to explore $\pi$. Let $h(\cdot)$ and $d$ denote the
mixing density and the dimension of the regression model, respectively. Hobert
et al. (2016) [arXiv:1506.03113v2] have recently shown that, if $h$ converges
to 0 at the origin at an appropriate rate, and $\int_0^\infty u^{\frac{d}{2}}
\, h(u) \, du < \infty$, then the Markov chains underlying the DA algorithm and
an alternative Haar PX-DA algorithm are both geometrically ergodic. In fact,
something much stronger than geometric ergodicity often holds. Indeed, it is
shown in this paper that, under simple conditions on $h$, the Markov operators
defined by the DA and Haar PX-DA Markov chains are trace-class, i.e., compact
with summable eigenvalues. Many of the mixing densities that satisfy Hobert et
al.'s (2016) conditions also satisfy the new conditions developed in this
paper. Thus, for this set of mixing densities, the new results provide a
substantial strengthening of Hobert et al.'s (2016) conclusion without any
additional assumptions. For example, Hobert et al. (2016) showed that the DA
and Haar PX-DA Markov chains are geometrically ergodic whenever the mixing
density is generalized inverse Gaussian, log-normal, Fr\'{e}chet (with shape
parameter larger than $d/2$), or inverted gamma (with shape parameter larger
than $d/2$). The results in this paper show that, in each of these cases, the
DA and Haar PX-DA Markov operators are, in fact, trace-class.


title:
The driving factors of electro-convective instability in concentration
  polarization

abstract:
  Ionic current through a charge-selective interface in a binary electrolyte is
a basic element of many electrochemical engineering and microfluidic processes.
Such current passage is diffusion-limited: it induces a decrease of electrolyte
concentration towards the interface (concentration polarization, CP), expressed
in the saturation of current upon increasing voltage at some value (limiting
current, LC). With further increase of voltage, this saturation breaks down
(overlimiting conductance, OLC). In open systems OLC is mediated by a
microscale vortical flow which develops as a result of electroconvective
instability (ECI) of quiescent CP near LC. Electroconvection (EC) is a flow
driven by the electric force acting either upon the space charge of the
interfacial EDL (electroosmosis, EO) or the residual space charge of the
quasielectroneutral bulk (bulk EC). There are two types of EO, the equilibrium
and the nonequilibrium one. The former relates to the action of the tangential
electric field upon the space charge of the EDL, and the latter pertains to the
similar action upon the extended space charge, forming next to the EDL near LC.
For a perfectly charge-selective interface, CP is stable under the equilibrium
EO or bulk EC, but nonequilibrium EO may cause ECI. For this reason until
recently, ECI in CP was attributed to this latter mechanism. Lately, it was
shown that imperfect charge-selectivity of the interface makes equilibrium ECI
possible, driven by either equilibrium EO or bulk EC, or both. Here we identify
and analyze the major surface and bulk factors affecting the ECI. These factors
(diffusioosmosis, EO, bulk EC, and some newly identified ones) are
manifestations of the electric force and pressure gradient, balanced by the
viscous force acting in various locations in solution. The contribution of
these factors to ECI in CP is analyzed for a varying interface permselectivity.


title:
Computing Reduced Order Models via Inner-Outer Krylov Recycling in
  Diffuse Optical Tomography

abstract:
  In nonlinear imaging problems whose forward model is described by a partial
differential equation (PDE), the main computational bottleneck in solving the
inverse problem is the need to solve many large-scale discretized PDEs at each
step of the optimization process. In the context of absorption imaging in
diffuse optical tomography, one approach to addressing this bottleneck proposed
recently (de Sturler, et al, 2015) reformulates the viewing of the forward
problem as a differential algebraic system, and then employs model order
reduction (MOR). However, the construction of the reduced model requires the
solution of several full order problems (i.e. the full discretized PDE for
multiple right-hand sides) to generate a candidate global basis. This step is
then followed by a rank-revealing factorization of the matrix containing the
candidate basis in order to compress the basis to a size suitable for
constructing the reduced transfer function. The present paper addresses the
costs associated with the global basis approximation in two ways. First, we use
the structure of the matrix to rewrite the full order transfer function, and
corresponding derivatives, such that the full order systems to be solved are
symmetric (positive definite in the zero frequency case). Then we apply MOR to
the new formulation of the problem. Second, we give an approach to computing
the global basis approximation dynamically as the full order systems are
solved. In this phase, only the incrementally new, relevant information is
added to the existing global basis, and redundant information is not computed.
This new approach is achieved by an inner-outer Krylov recycling approach which
has potential use in other applications as well. We show the value of the new
approach to approximate global basis computation on two DOT absorption image
reconstruction problems.


title: One generator quasi-cyclic codes over F2 + uF2 + vF2 + uvF2

abstract:
  In this paper, we study the structure of 1-generator quasi-cyclic codes over
the ring R = F2 + uF2 + vF2 + uvF2, with u2 = v2 = 0 and uv = vu. We determine
the minimal spanning sets for these codes. As a generalization of these codes,
we also investigate the structure of 1-generator generalized quasi-cyclic codes
over R and determine a BCH type bound for them.


title: Twisted Blanchfield pairings and decompositions of 3-manifolds

abstract:
  We prove a decomposition formula for twisted Blanchfield pairings of
3-manifolds. As an application we show that the twisted Blanchfield pairing of
a 3-manifold obtained from a 3-manifold Y with a representation $\phi:
Z[\pi_1(Y)] \to R$, infected by a knot J along a curve $\eta$ with $\phi(\eta)
\neq 1$, splits orthogonally as the sum of the twisted Blanchfield pairing of Y
and the ordinary Blanchfield pairing of the knot J, with the latter tensored up
from $Z[t,t^{-1}]$ to R.


title: Equidistribution of phase shifts in trapped scattering

abstract:
  We prove an equidistribution result for the eigenvalues of the scattering
matrix associated to an operator of the form $-h^2\Delta + V-1$, where $V\in
C_c^\infty(\mathbb{R}^d)$ is a compactly supported potential, under the
assumption that the incoming and outgoing sets of the classical dynamics have
zero Liouville measure. This extends a recent result of Gell-Redman, Hassell
and Zelditch, where the authors proved equidistribution of the eigenvalues of
the scattering matrix under the assumption that the trapped set is empty.


title: Two new pulsating low-mass pre-white dwarfs or SX Phenix stars?*

abstract:
  Context. The discovery of pulsations in low-mass stars opens an opportunity
for probing their interiors and to determine their evolution, by employing the
tools of asteroseismology. Aims. We aim to analyze high-speed photometry of
SDSSJ145847.02$+$070754.46 and SDSSJ173001.94$+$070600.25 and discover
brightness variabilities. In order to locate these stars in the $T_{\rm eff} -
\log g$ diagram we fit optical spectra (SDSS) with synthetic non-magnetic
spectra derived from model atmospheres. Methods. To carry out this study, we
used the photometric data obtained by us for these stars with the 2.15m
telescope at CASLEO, Argentina. We analyzed their light curves and we apply the
Discrete Fourier Transform to determine the pulsation frequencies. Finally, we
compare both stars in the $T_{\rm eff} - \log g$ diagram, with known two
pre-white dwarfs, seven pulsating pre-ELM white dwarf stars, $\delta$ Scuti and
SX Phe stars. Results. We report the discovery of pulsations in
SDSSJ145847.02$+$070754.46 and SDSSJ173001.94$+$070600.25. We determine their
effective temperature and surface gravity to be $T_{\rm eff}$ = 7 972 $\pm$ 200
K, $\log g$ = 4.25 $\pm$ 0.5 and $T_{\rm eff}$ = 7 925 $\pm$ 200 K, $\log g$ =
4.25 $\pm$ 0.5, respectively. With these parameters these new pulsating
low-mass stars can be identified with either ELM white dwarfs (with ~ 0.17 Mo)
or more massive SX Phe stars. We identified pulsation periods of 3 278.7 and 1
633.9 s for SDSSJ145847.02$+$070754.46 and a pulsation period of 3 367.1 s for
SDSSJ173001.94$+$070600.25. These two new objects together with those of Maxted
et al. (2013, 2014) indicate the possible existence of a new instability domain
towards the late stages of evolution of low-mass white dwarf stars, although
their identification with SX Phe stars cannot be discarded.


title: Some Properties of the Shape Invariant Two-Dimensional Scarf II Model

abstract:
  Two-dimensional Scarf~II quantum model is considered in the framework of
Supersymmetrical Quantum Mechanics (SUSY QM). Previously obtained results for
this integrable system are systematized, and some new properties are derived.
In particular, it is shown that the model is exactly or quasi-exactly solvable
in different regions of parameter of the system. The degeneracy of the spectrum
is detected for some specific values of parameters. The action of the symmetry
operators of fourth order in momenta is calculated for the arbitrary wave
functions, obtained by means of double shape invariance.


title: Groups with positive rank gradient and their actions

abstract:
  We show that given a finitely generated LERF group $G$ with positive rank
gradient, and finitely generated subgroups $A,B \leq G$ of infinite index, one
can find a finite index subgroup $B_0$ of $B$ such that $[G : \langle A \cup
B_0 \rangle] = \infty$. This generalizes a theorem of Olshanskii on free
groups. We conclude that a finite product of finitely generated subgroups of
infinite index does not cover $G$. We construct a transitive virtually faithful
action of $G$ such that the orbits of finitely generated subgroups of infinite
index are finite. Some of the results extend to profinite groups with positive
rank gradient.


title:
Throughput Analysis and Optimization of Wireless-Powered Multiple
  Antenna Full-Duplex Relay Systems

abstract:
  We consider a full-duplex (FD) decode-and-forward system in which the
time-switching protocol is employed by the multi-antenna relay to receive
energy from the source and transmit information to the destination. The
instantaneous throughput is maximized by optimizing receive and transmit
beamformers at the relay and the time-split parameter. We study both optimum
and suboptimum schemes. The reformulated problem in the optimum scheme achieves
closed-form solutions in terms of transmit beamformer for some scenarios. In
other scenarios, the optimization problem is formulated as a semi-definite
relaxation problem and a rank-one optimum solution is always guaranteed. In the
suboptimum schemes, the beamformers are obtained using maximum ratio combining,
zero-forcing, and maximum ratio transmission. When beamformers have closed-form
solutions, the achievable instantaneous and delay-constrained throughput are
analytically characterized. Our results reveal that, beamforming increases both
the energy harvesting and loop interference suppression capabilities at the FD
relay. Moreover, simulation results demonstrate that the choice of the linear
processing scheme as well as the time-split plays a critical role in
determining the FD gains.


title: On operational approach to entanglement and how to certify it

abstract:
  Entangled physical systems are an important resource in quantum information.
Some authors claim that in fact all quantum states are entangled. In this paper
we show that this claim is incorrect and we discuss in operational way
differences existing between separable and entangled states. A sufficient
condition for entanglement is the violation of Bell- CHSH-CH inequalities
and/or steering inequalities. Since there exist experiments outside the domain
of quantum physics violating these inequalities therefore in the operational
approach one cannot say that the entanglement is an exclusive quantum
phenomenon. We also explain that an unambiguous experimental certification of
the entanglement is a difficult task because classical statistical significance
tests may not be trusted if sample homogeneity cannot be tested or is not
tested carefully enough.


title: Model for the growth of the World Airline Network

abstract:
  We propose a probabilistic growth model for transport networks which employs
a balance between popularity of nodes and the physical distance between nodes.
By comparing the degree of each node in the model network and the WAN, we
observe that the difference between the two is minimized for $\alpha\approx 2$.
Interestingly, this is the value obtained for the node-node correlation
function in the WAN. This suggests that our model explains quite well the
growth of airline networks.


title:
Towards Synthesis from Assume-Guarantee Contracts involving Infinite
  Theories: A Preliminary Report

abstract:
  In previous work, we have introduced a contract-based real- izability
checking algorithm for assume-guarantee contracts involving infinite theories,
such as linear integer/real arith- metic and uninterpreted functions over
infinite domains. This algorithm can determine whether or not it is possible to
con- struct a realization (i.e. an implementation) of an assume- guarantee
contract. The algorithm is similar to k-induction model checking, but involves
the use of quantifiers to deter- mine implementability. While our work on
realizability is inherently useful for vir- tual integration in determining
whether it is possible for sup- pliers to build software that meets a contract,
it also provides the foundations to solving the more challenging problem of
component synthesis. In this paper, we provide an initial synthesis algorithm
for assume-guarantee contracts involv- ing infinite theories. To do so, we take
advantage of our realizability checking procedure and a skolemization solver
for forall-exists formulas, called AE-VAL. We show that it is possible to
immediately adapt our existing algorithm towards syn- thesis by using this
solver, using a demonstration example. We then discuss challenges towards
creating a more robust synthesis algorithm.


title:
Thermodynamic indistinguishability and field state fingerprint of
  quantum optical amplifiers

abstract:
  Dissipation tends to wash out dynamical features observed at early evolution
times. In this paper we analyze a resonant single--atom two--photon quantum
optical amplifier both dynamically and thermodynamically. A detailed
thermodynamic balance shows that the non--linear amplifier is thermodynamically
equivalent to the linear amplifier discussed in (Phys. Rev. A, 74 (2006),
063822). However, by calculating the Wigner quasi--probability distribution for
various initial field states, we show that unique quantum features in optical
phase space, absent from the linear amplifier, are maintained for extended
times. These features are related to the discrete nature of the two--photon
matter--field interaction, and fingerprint the initial field state at
thermodynamic times.


title:
Homotopy L-infinity spaces and Kuranishi manifolds, I: categorical
  structures

abstract:
  Motivated by the definition of homotopy $L_\infty$ spaces, we develop a new
theory of Kuranishi manifolds, closely related to Joyce's recent theory. We
prove that Kuranishi manifolds form a $2$-category with invertible
$2$-morphisms, and that certain fiber product property holds in this
$2$-category. In a subsequent paper, we construct the virtual fundamental cycle
of a compact oriented Kuranishi manifold, and prove some of its basic
properties.
  Manifest from this new formulation is the fact that $[0,1]$-type homotopy
$L_\infty$ spaces are naturally Kuranishi manifolds. The former structured
spaces naturally appear as derived enhancements of Maurer-Cartan moduli spaces
from Chern-Simons type gauge theory. In this way, Kuranishi manifolds theory
can be applied to study path integrals in such type of gauge theories.


title:
Multiwavelength study of twenty jets emanating from the periphery of
  active regions

abstract:
  We present a multiwavelength analysis of 20 EUV jets which occurred at the
periphery of active regions close to sunspots. We discuss the physical
parameters of the jets and their relation with other phenomena such as H alpha
surges, nonthermal type III radio bursts and hard X-ray emission. Using AIA
wavelength channels sensitive to coronal temperatures, we studied the
temperature distribution in the jets using the line-of-sight Differential
Emission Measure technique. We also investigated the role of the photospheric
magnetic field using the LOS magnetogram data from the HMI. The lifetime of
jets range from 5 to 39 minutes with an average of 18 minutes and their
velocities range from 87 to 532 km/s with an average of 271 km/s. Most of the
jets are co-temporal with nonthermal type III radio bursts observed by the
Wind/WAVES spacecraft. We confirm the source region of these bursts using the
Potential Field Source Surface technique. 10 out of 20 events showed that the
jets originated in a region of flux cancellation and 6 jets in a region of flux
emergence. 4 events showed flux emergence and then cancellation during the jet
evolution. DEM analyses showed that for most of the spires of the jets, the DEM
peaked at around log T [K] = 6.2/6.3. In addition, we derived an emission
measure and a lower limit of electron density at the location of the spire and
the footpoint. These results are in agreement with those obtained earlier by
studying individual active region jets. The observation of flux cancellation,
the association with HXR emission and emission of nonthermal type III radio
bursts, suggest that the initiation and therefore, heating is taking place at
the base of the jet. This is also supported by the high temperature plasma
revealed by the DEM analysis in the jet footpoint. Our results provide
substantial constraints for theoretical modeling of the jets and their
thermodynamic nature.


title:
Imminent earthquake forecasting on the basis of Japan INTERMAGNET
  stations, NEIC, NOAA and Tide code data analysis

abstract:
  This research presents one possible way for imminent prediction of earthquake
magnitude, depth and epicenter coordinates by solving the inverse problem using
a data acquisition network system for monitoring, archiving and complex
analysis of geophysical variables precursors. Among many possible precursors
the most reliable are the geoelectromagnetic field, the boreholes water level,
the radon surface concentration, the local heat flow, the ionosphere variables,
the low frequency atmosphere and Earth core waves. In this study only
geomagnetic data are used. Within the framework of geomagnetic quake approach
it is possible to perform an imminent regional seismic activity forecasting on
the basis of simple analysis of geomagnetic data which use a new variable Schtm
with dimension surface density of energy. Such analysis of Memambetsu, Kakioka,
Kanoya (Japan, INTERMAGNET) stations and NEIC earthquakes data, the hypothesis
that the predicted earthquake is this with bigest value of the variable Schtm
permit to formulate an inverse problem (overdetermined algebraic system) for
precursors signals like a functions of earthquake magnitude, depth and distance
from a monitoring point. Thus, in the case of data acquisition network system
existence, which includes monitoring of more than one reliable precursor
variables in at least four points distributed within the area with a radius of
up to 700 km, there will be enough algebraic equations for calculation of
impending earthquake magnitude, depth and distance, solving the overdetermined
algebraic system.


title:
Magnetic radial vortex stabilization and efficient manipulation driven
  by the Dzyaloshinskii Moriya Interaction and the spin-transfer torque

abstract:
  Solitons are very promising for the design of next generation of ultralow
power devices for storage and computation. The key ingredient to achieve this
goal is the fundamental understanding of their stabilization and manipulation.
Here, we show how the interfacial Dzyaloshinskii Moriya Interaction (i DMI) is
able to lift the energy degeneracy of a magnetic vortex state by stabilizing a
topological soliton with radial chirality, hereafter called radial vortex. It
has a non-integer skyrmion number S (0.5<|S|<1) due to both the vortex core
polarity and the magnetization tilting induced by the i DMI boundary
conditions. Micromagnetic simulations predict that a magnetoresistive memory
based on the radial vortex state in both free and polarizer layers can be
efficiently switched by a threshold current density smaller than 106 A/cm2. The
switching processes occur via the nucleation of topologically connected
vortices and vortex antivortex pairs, followed by spin wave emissions due to
vortex antivortex annihilations.


title:
Intrinsic strange distributions in the nucleon from the light-cone
  models

abstract:
  Precise knowledge of the strange and antistrange quark distributions of the
nucleon is a major step toward better understanding of the strong interaction
and the nucleon structure. Moreover, the $ s-\bar s $ asymmetry in the nucleon
plays an important role in some physical processes involving hadrons. The goal
of this paper is the study of intrinsic strange contribution to the strange sea
of the nucleon. To this aim, we calculate the intrinsic strange distributions
from the various light-cone models including BHPS, scalar five-quark and
meson-baryon models and then compare their results. These models can lead to
the rather different distributions for the intrinsic strange that are dominated
in different values of $ x $. Furthermore, the meson-baryon model leads to the
$ s-\bar s $ asymmetry that can be comparable in some situations to the result
obtained from the global analysis of PDFs. We also present a simple
parametrization for each model prediction of intrinsic strange distribution.


title: Low-Temperature Spin-Wave Approximation for the Heisenberg Ferromagnet

abstract:
  We study the low temperature thermodynamics of the quantum Heisenberg
ferromagnet in three dimension for any value of the spin $ S \geq 1/2 $. We
report on a rigorous proof of the validity of the spin-wave approximation for
the excitation spectrum, at the level of the first non-trivial contribution to
the free energy as the inverse temperature $ \beta \to \infty $.


title:
Ab initio no-core properties of 7Li and 7Be with JISP16 and NNLO_opt
  interactions

abstract:
  We investigate the properties of 7Li with the JISP16 and chiral NNLO_opt
nucleon-nucleon interactions and 7Be with the JISP16 interaction in the ab
initio no-core full configuration (NCFC) approach. We calculate selected
observables that include energy spectra, point proton root-mean-square radii,
electromagnetic moments and transitions. We compare our results with
experimental results, where available, as well as with results obtained using
nucleon-nucleon plus three-nucleon interactions. We obtain reasonable agreement
between theory and experiment for low-lying states that are dominated by
p-shell configurations.


title: Quantum Dynamics of Complex Hamiltonians

abstract:
  Non hermitian Hamiltonians play an important role in the study of dissipative
quantum systems. We show that using states with time dependent normalization
can simplify the description of such systems especially in the context of the
classical limit. We apply this prescription to study the damped harmonic
oscillator system. This is then used to study the problem of radiation in leaky
cavity.


title: Introduction to Implicit Regression

abstract:
  Statisticians usually restrict regression to model relationships that are
explicitly defined dependent and independent random variables; this paper
outlines the newly developed method of non-response analysis and rotational
analysis for evaluating co-dependent variables without an obvious subject
response. The concepts outlined challenge the notion of fixed effects; unity is
included as a random measure (variable) ignoring the assumption of independence
and the degree of separation is outlined which is a measure of model quality.


title:
Empirical Methods for Dynamic Power Law Distributions in the Social
  Sciences

abstract:
  This paper introduces nonparametric econometric methods that characterize
general power law distributions under basic stability conditions. These methods
extend the literature on power laws in the social sciences in several
directions. First, we show that any stationary distribution in a random growth
setting is shaped entirely by two factors - the idiosyncratic volatilities and
reversion rates (a measure of cross-sectional mean reversion) for different
ranks in the distribution. This result is valid regardless of how growth rates
and volatilities vary across different economic agents, and hence applies to
Gibrat's law and its extensions. Second, we present techniques to estimate
these two factors using panel data. Third, we show how our results offer a
structural explanation for a generalized size effect in which higher-ranked
processes grow more slowly than lower-ranked processes on average. Finally, we
employ our empirical methods using panel data on commodity prices and show that
our techniques accurately describe the empirical distribution of relative
commodity prices. We also show the existence of a generalized "size" effect for
commodities, as predicted by our econometric theory.


title:
Twist Three Generalized Parton Distributions for Orbital Angular
  Momentum

abstract:
  We study the orbital angular momentum contribution to the spin structure of
the proton. It is well known that the quark and gluon spin contributions do not
add up to the proton spin. We motivate the connection between the Generalized
Transverse Momentum Distribution (GTMD) $F_{14}$, and orbital angular momentum
by exploring the underlying quark proton helicity amplitude structure. The
twist three Generalized Parton Distribution (GPD) $\tilde{E}_{2T}$, was shown
to connect to OAM. We study these functions using a diquark model calculation.
The GTMD $F_{14}$ is unique in that it can describe both Jaffe-Manohar and Ji
OAM depending on choice of gauge link, i.e. whether final state interactions
are included or not. We perform a calculation of $F_{14}$ in both scenarios.


title: On non-normal solutions of linear differential equations

abstract:
  Normality arguments are applied to study the oscillation of solutions of
$f''+Af=0$, where the coefficient $A$ is analytic in the unit disc $\mathbb{D}$
and $\sup_{z\in\mathbb{D}} (1-|z|^2)^2|A(z)| < \infty$. It is shown that such
differential equation may admit a non-normal solution having prescribed
uniformly separated zeros.


title:
A remark on incoherent feedforward circuits as change detectors and
  feedback controllers

abstract:
  This note analyzes incoherent feedforward loops in signal processing and
control. It studies the response properties of IFFL's to exponentially growing
inputs, both for a standard version of the IFFL and for a variation in which
the output variable has a positive self-feedback term. It also considers a
negative feedback configuration, using such a device as a controller. It
uncovers a somewhat surprising phenomenon in which stabilization is only
possible in disconnected regions of parameter space, as the controlled system's
growth rate is varied.


title:
Multiple instance learning for sequence data with across bag
  dependencies

abstract:
  In Multiple Instance Learning (MIL) problem for sequence data, the instances
inside the bags are sequences. In some real world applications such as
bioinformatics, comparing a random couple of sequences makes no sense. In fact,
each instance may have structural and/or functional relations with instances of
other bags. Thus, the classification task should take into account this across
bag relation. In this work, we present two novel MIL approaches for sequence
data classification named ABClass and ABSim. ABClass extracts motifs from
related instances and use them to encode sequences. A discriminative classifier
is then applied to compute a partial classification result for each set of
related sequences. ABSim uses a similarity measure to discriminate the related
instances and to compute a scores matrix. For both approaches, an aggregation
method is applied in order to generate the final classification result. We
applied both approaches to solve the problem of bacterial Ionizing Radiation
Resistance prediction. The experimental results of the presented approaches are
satisfactory.


title: Symplectic resolutions of quiver varieties

abstract:
  In this article, we consider Nakajima quiver varieties from the point of view
of symplectic algebraic geometry. We prove that they are all symplectic
singularities in the sense of Beauville and completely classify which admit
symplectic resolutions. Moreover we show that the smooth locus coincides with
the locus of canonically $\theta$-polystable points, generalizing a result of
Le Bruyn; we study their \'etale local structure and find their symplectic
leaves. An interesting consequence of our results is that not all symplectic
resolutions of quiver varieties appear to come from variation of GIT.


title:
Using Social Networks to Aid Homeless Shelters: Dynamic Influence
  Maximization under Uncertainty - An Extended Version

abstract:
  This paper presents HEALER, a software agent that recommends sequential
intervention plans for use by homeless shelters, who organize these
interventions to raise awareness about HIV among homeless youth. HEALER's
sequential plans (built using knowledge of social networks of homeless youth)
choose intervention participants strategically to maximize influence spread,
while reasoning about uncertainties in the network. While previous work
presents influence maximizing techniques to choose intervention participants,
they do not address three real-world issues: (i) they completely fail to scale
up to real-world sizes; (ii) they do not handle deviations in execution of
intervention plans; (iii) constructing real-world social networks is an
expensive process. HEALER handles these issues via four major contributions:
(i) HEALER casts this influence maximization problem as a POMDP and solves it
using a novel planner which scales up to previously unsolvable real-world
sizes; (ii) HEALER allows shelter officials to modify its recommendations, and
updates its future plans in a deviation-tolerant manner; (iii) HEALER
constructs social networks of homeless youth at low cost, using a Facebook
application. Finally, (iv) we show hardness results for the problem that HEALER
solves. HEALER will be deployed in the real world in early Spring 2016 and is
currently undergoing testing at a homeless shelter.


title: Smith Normal Form in Combinatorics

abstract:
  This paper surveys some combinatorial aspects of Smith normal form, and more
generally, diagonal form. The discussion includes general algebraic properties
and interpretations of Smith normal form, critical groups of graphs, and Smith
normal form of random integer matrices. We then give some examples of Smith
normal form and diagonal form arising from (1) symmetric functions, (2) a
result of Carlitz, Roselle, and Scoville, and (3) the Varchenko matrix of a
hyperplane arrangement.


title: A note on time-optimal paths on perturbed spheroid

abstract:
  We consider the Zermelo navigation problem on the ellipsoid of revolution
(spheroid) in the presence of a perturbation $W$ determined by a mild velocity
vector field, $|W|<1$, with application of Finsler metric of Randers type in
the context of the corresponding optimal control represented by a
time-efficient ship's heading $\varphi(t)$ (steering direction). As the example
we present the solutions to the problem on an oblate ellipsoid with acting
infinitesimal rotation.


title:
On a certain type of nonlinear hyperbolic equations derived from
  astrophysical problems

abstract:
  Investigations of spherically symmetric motions of self-gravitating gaseous
stars governed by the non-relativistic Newtonian gravitation theory or by the
general relativistic theory lead us to a certain type of non-linear hyperbolic
equations defined on a finite interval of the space variable. The linearized
principal part has regular singularities at the both ends of the interval of
the space variable. But the regularity loss caused by the singularities at the
boundaries requires application of the Nash-Moser technique. An abstract
unified treatment of the problem is presented.


title:
A Linearithmic Time Algorithm for a Shortest Vector Problem in
  Compute-and-Forward Design

abstract:
  We propose an algorithm with expected complexity of $\bigO(n\log n)$
arithmetic operations to solve a special shortest vector problem arising in
computer-and-forward design, where $n$ is the dimension of the channel vector.
This algorithm is more efficient than the best known algorithms with proved
complexity.


title:
Neutrino oscillations: from an historical perspective to the present
  status

abstract:
  The history of neutrino mixing and oscillations is briefly presented. Basics
of neutrino mixing and oscillations and convenient formalism of neutrino
oscillations in vacuum is given. The role of neutrino in the Standard Model and
the Weinberg mechanism of the generation of the Majorana neutrino masses are
discussed.


title:
Optical and electronic properties of sub-surface conducting layers in
  diamond created by MeV B-implantation at elevated temperatures

abstract:
  Boron implantation with in-situ dynamic annealing is used to produce highly
conductive sub-surface layers in type IIa (100) diamond plates for the search
of a superconducting phase transition. Here we demonstrate that high-fluence
MeV ion-implantation, at elevated temperatures avoids graphitization and can be
used to achieve doping densities of 6 at.%. In order to quantify the diamond
crystal damage associated with implantation Raman spectroscopy was performed,
demonstrating high temperature annealing recovers the lattice. Additionally,
low-temperature electronic transport measurements show evidence of charge
carrier densities close to the metal-insulator-transition. After electronic
characterization, secondary ion mass spectrometry was performed to map out the
ion profile of the implanted plates. The analysis shows close agreement with
the simulated ion-profile assuming scaling factors that take into account an
average change in diamond density due to device fabrication. Finally, the data
show that boron diffusion is negligible during the high temperature annealing
process.


title: Deep Learning For Smile Recognition

abstract:
  Inspired by recent successes of deep learning in computer vision, we propose
a novel application of deep convolutional neural networks to facial expression
recognition, in particular smile recognition. A smile recognition test accuracy
of 99.45% is achieved for the Denver Intensity of Spontaneous Facial Action
(DISFA) database, significantly outperforming existing approaches based on
hand-crafted features with accuracies ranging from 65.55% to 79.67%. The
novelty of this approach includes a comprehensive model selection of the
architecture parameters, allowing to find an appropriate architecture for each
expression such as smile. This is feasible because all experiments were run on
a Tesla K40c GPU, allowing a speedup of factor 10 over traditional computations
on a CPU.


title: Wireless Caching: Technical Misconceptions and Business Barriers

abstract:
  Caching is a hot research topic and poised to develop into a key technology
for the upcoming 5G wireless networks. The successful implementation of caching
techniques however, crucially depends on joint research developments in
different scientific domains such as networking, information theory, machine
learning, and wireless communications. Moreover, there exist business barriers
related to the complex interactions between the involved stakeholders, the
users, the cellular operators, and the Internet content providers. In this
article we discuss several technical misconceptions with the aim to uncover
enabling research directions for caching in wireless systems. Ultimately we
make a speculative stakeholder analysis for wireless caching in 5G.


title:
Experimental Evaluation of Multihop Cellular Networks using Mobile
  Relays

abstract:
  Future wireless networks are expected to provide high bandwidth multimedia
services in extended areas with homogeneous Quality of Service (QoS) levels.
Conventional cellular architectures might not be able to satisfy these
requirements due to the effect of surrounding obstacles and the signal
attenuation with distance, in particular under Non Line of Sight (NLOS)
propagation conditions. Recent studies have investigated the potential of
Multi-hop Cellular Networks (MCNs) to overcome the traditional cellular
architecture limitations through the integration of cellular and ad-hoc
networking technologies. However, these studies are generally analytical or
simulation-based. On the other hand, this paper reports the first experimental
field tests that validate and quantify the benefits that MCNs using mobile
relays can provide over traditional cellular systems.


title: Sharp moment and exponential tail estimates for U-statistics

abstract:
  We obtain in this paper a non-asymptotic non-improvable up to multiplicative
constant moment and exponential tail estimates for distribution for
U-statistics by means of martingale representation.
  We show also the exactness of obtained estimations in one way or another by
providing appropriate examples.


title: $p$-adic asymptotic properties of constant-recursive sequences

abstract:
  In this article we study $p$-adic properties of sequences of integers (or
$p$-adic integers) that satisfy a linear recurrence with constant coefficients.
For such a sequence, we give an explicit approximate twisted interpolation to
$\mathbb Z_p$. We then use this interpolation for two applications. The first
is that certain subsequences of constant-recursive sequences converge
$p$-adically. The second is that the density of the residues modulo $p^\alpha$
attained by a constant-recursive sequence converges, as $\alpha \to \infty$, to
the Haar measure of a certain subset of $\mathbb Z_p$. To illustrate these
results, we determine some particular limits for the Fibonacci sequence.


title:
Tracing liquid level and material boundaries in transparent vessels
  using the graph cut computer vision approach

abstract:
  Detection of boundaries of materials stored in transparent vessels is
essential for identifying properties such as liquid level and phase boundaries,
which are vital for controlling numerous processes in the industry and
chemistry laboratory. This work presents a computer vision method for
identifying the boundary of materials in transparent vessels using the
graph-cut algorithm. The method receives an image of a transparent vessel
containing a material and the contour of the vessel in the image. The boundary
of the material in the vessel is found by the graph cut method. In general the
method uses the vessel region of the image to create a graph, where pixels are
vertices, and the cost of an edge between two pixels is inversely correlated
with their intensity difference. The bottom 10% of the vessel region in the
image is assumed to correspond to the material phase and defined as the graph
and source. The top 10% of the pixels in the vessels are assumed to correspond
to the air phase and defined as the graph sink. The minimal cut that splits the
resulting graph between the source and sink (hence, material and air) is traced
using the max-flow/min-cut approach. This cut corresponds to the boundary of
the material in the image. The method gave high accuracy in boundary
recognition for a wide range of liquid, solid, granular and powder materials in
various glass vessels from everyday life and the chemistry laboratory, such as
bottles, jars, Glasses, Chromotography colums and separatory funnels.


title:
Optimal exponents for Hardy--Littlewood inequalities for $m$-linear
  operators

abstract:
  The Hardy--Littlewood inequalities on $\ell _{p}$ spaces provide optimal
exponents for some classes of inequalities for bilinear forms on $\ell _{p}$
spaces. In this paper we investigate in detail the exponents involved in
Hardy--Littlewood type inequalities and provide several optimal results that
were not achieved by the previous approaches. Our first main result asserts
that for $q_{1},...,q_{m}>0$ and an infinite-dimensional Banach space $Y$
attaining its cotype $\cot Y$, if \begin{equation*}
\frac{1}{p_{1}}+...+\frac{1}{p_{m}}<\frac{1}{\cot Y}, \end{equation*} then the
following assertions are equivalent:
  (a) There is a constant $C_{p_{1},...,p_{m}}^{Y}\geq 1$ such that
\begin{equation*} \left( \sum_{j_{1}=1}^{\infty }\left( \sum_{j_{2}=1}^{\infty
}\cdots \left( \sum_{j_{m}=1}^{\infty }\left\Vert
A(e_{j_{1}},...,e_{j_{m}})\right\Vert ^{q_{m}}\right)
^{\frac{q_{m-1}}{q_{m}}}\cdots \right) ^{\frac{q_{1}}{q_{2}} }\right)
^{\frac{1}{q_{1}}}\leq C_{p_{1},...,p_{m}}^{Y}\left\Vert A\right\Vert
\end{equation*} for all continuous $m-$linear operators $A:\ell _{p_{1}}\times
\cdots \times \ell _{p_{m}}\rightarrow Y.$
  (b) The exponents $q_{1},...,q_{m}$ satisfy \begin{equation*} q_{1}\geq
\lambda _{m,\cot Y}^{p_{1},...,p_{m}},q_{2}\geq \lambda _{m-1,\cot
Y}^{p_{2},...,p_{m}},...,q_{m}\geq \lambda _{1,\cot Y}^{p_{m}}, \end{equation*}
where, for $k=1,...,m,$ \begin{equation*} \lambda _{m-k+1,\cot
Y}^{p_{k},...,p_{m}}:=\frac{\cot Y}{1-\left( \frac{1}{
p_{k}}+...+\frac{1}{p_{m}}\right) \cot Y}. \end{equation*} As an application of
the above result we generalize to the $m$-linear setting one of the classical
Hardy--Littlewood inequalities for bilinear forms. Our result is sharp in a
very strong sense: the constants and exponents are optimal, even if we consider
mixed sums.


title: Electromechanically Tunable Suspended Optical Nano-antenna

abstract:
  Coupling mechanical degrees of freedom with plasmonic resonances has
potential applications in optomechanics, sensing, and active plasmonics. Here
we demonstrate a suspended two-wire plasmonic nano-antenna acting like a
nano-electrometer. The antenna wires are supported and electrically connected
via thin leads without disturbing the antenna resonance. As a voltage is
applied, equal charges are induced on both antenna wires. The resulting
equilibrium between the repulsive Coulomb force and the restoring elastic
bending force enables us to precisely control the gap size. As a result the
resonance wavelength and the field enhancement of the suspended optical
nano-antenna (SONA) can be reversibly tuned. Our experiments highlight the
potential to realize large bandwidth optical nanoelectromechanical systems
(NEMS).


title: On the Geometry and Extremal Properties of the Edge-Degeneracy Model

abstract:
  The edge-degeneracy model is an exponential random graph model that uses the
graph degeneracy, a measure of the graph's connection density, and number of
edges in a graph as its sufficient statistics. We show this model is relatively
well-behaved by studying the statistical degeneracy of this model through the
geometry of the associated polytope.


title:
Crystal interpretation of a formula on the branching rule of types
  $B_{n}$, $C_{n}$, and $D_{n}$

abstract:
  The branching coefficients of the tensor product of finite-dimensional
irreducible $U_{q}(\mathfrak{g})$-modules, where $\mathfrak{g}$ is
$\mathfrak{so}(2n+1,\mathbb{C})$ ($B_{n}$-type), $\mathfrak{sp}(2n,\mathbb{C})$
($C_{n}$-type), and $\mathfrak{so}(2n,\mathbb{C})$ ($D_{n}$-type), are
expressed in terms of Littlewood-Richardson (LR) coefficients in the stable
region. We give an interpretation of this relation by Kashiwara's crystal
theory by providing an explicit surjection from the LR crystal of type $C_{n}$
to the disjoint union of Cartesian product of LR crystals of $A_{n-1}$-type and
by proving that LR crystals of types $B_{n}$ and $D_{n}$ are identical to the
corresponding LR crystal of type $C_{n}$ in the stable region.


title:
Non-polynomial ENO and WENO finite volume methods for hyperbolic
  conservation laws

abstract:
  The essentially non-oscillatory (ENO) method is an efficient high order
numerical method for solving hyperbolic conservation laws designed to reduce
the Gibbs oscillations, if existent, by adaptively choosing the local stencil
for the interpolation. The original ENO method is constructed based on the
polynomial interpolation and the overall rate of convergence provided by the
method is uniquely determined by the total number of interpolation points
involved for the approximation. In this paper, we propose simple non-polynomial
ENO and weighted ENO (WENO) finite volume methods in order to enhance the local
accuracy and convergence. We first adopt the infinitely smooth radial basis
functions (RBFs) for a non-polynomial interpolation. Particularly we use the
multi-quadric and Gaussian RBFs. The non-polynomial interpolation such as the
RBF interpolation offers the flexibility to control the local error by
optimizing the free parameter. Then we show that the non-polynomial
interpolation can be represented as a perturbation of the polynomial
interpolation. That is, it is not necessary to know the exact form of the
non-polynomial basis for the interpolation. In this paper, we formulate the ENO
and WENO methods based on the non-polynomial interpolation and derive the
optimization condition of the perturbation. To guarantee the essentially
non-oscillatory property, we switch the non-polynomial reconstruction to the
polynomial reconstruction adaptively near the non-smooth area by using the
monotone polynomial interpolation method. The numerical results show that the
developed non-polynomial ENO and WENO methods enhance the local accuracy.


title:
Radial basis function ENO and WENO finite difference methods based on
  the optimization of shape parameters

abstract:
  We present adaptive finite difference ENO/WENO methods by adopting infinitely
smooth radial basis functions (RBFs). This is a direct extension of the
non-polynomial finite volume ENO/WENO method proposed by authors in
\cite{GuoJung} to the finite difference ENO/WENO method based on the original
smoothness indicator scheme developed by Jiang and Shu \cite{WENO}. The
RBF-ENO/WENO finite difference method slightly perturbs the reconstruction
coefficients with RBFs as the reconstruction basis and enhances accuracy in the
smooth region by locally optimizing the shape parameters. The RBF-ENO/WENO
finite difference methods provide more accurate reconstruction than the regular
ENO/WENO reconstruction and provide sharper solution profiles near the jump
discontinuity. Furthermore the RBF-ENO/WENO methods are easy to implement in
the existing regular ENO/WENO code. The numerical results in 1D and 2D
presented in this work show that the proposed RBF-ENO/WENO finite difference
method better performs than the regular ENO/WENO method.


title:
Rigidity in Condensed Matter and its Origin in Configurational
  Constraint

abstract:
  Motivated by the formal argument that a non-zero shear modulus is the result
of averaging over a constrained configurations space, we demonstrate that the
shear modulus calculated over a range of temperatures and averaging times can
be expressed (relative to its infinite frequency value) as a single function of
the mean squared displacement. This result is shown to hold for both a
glass-liquid and a crystal-liquid system.


title: Plasmon modes of graphene nanoribbons with periodic planar arrangements

abstract:
  Among their amazing properties, graphene and related low-dimensional
materials show quantized charge-density fluctuations--known as plasmons--when
exposed to photons or electrons of suitable energies. Graphene nanoribbons
offer an enhanced tunability of these resonant modes, due to their
geometrically controllable band gaps. The formidable effort made over recent
years in developing graphene-based technologies is however weakened by a lack
of predictive modeling approaches that draw upon available {\it ab initio}
methods. An example of such a framework is presented here, focusing on
narrow-width graphene nanoribbons organized in periodic planar arrays.
Time-dependent density-functional calculations reveal unprecedented plasmon
modes of different nature at visible to infrared energies. Specifically,
semimetallic~(zigzag) nanoribbons display an intraband plasmon following the
energy-momentum dispersion of a two-dimensional electron gas.
Semiconducting~(armchair) nanoribbons are instead characterized by two distinct
intraband and interband plasmons, whose fascinating interplay is extremely
responsive to either injection of charge carriers or increase in electronic
temperature. These oscillations share some common trends with recent
nanoinfrared imaging of confined edge and surface plasmon modes detected in
graphene nanoribbons of $100$-$500$~nm width.


title: Hall conductivity in the cosmic defect and dislocation space-time

abstract:
  Influences of topological defect and dislocation on conductivity behavior of
charge carries in external electromagnetic fields are studied. Particularly the
quantum Hall effect is investigated in detail. It is found that the nontrivial
deformations of spacetime due to topological defect and dislocation produce an
electric current at the leading order of perturbation theory. This current then
induces a deformation on the Hall conductivity. The corrections on the Hall
conductivity depend on the external electric fields, the size of the sample and
the momentum of the particle.


title:
Symmetry fractionalization and anomaly detection in three-dimensional
  topological phases

abstract:
  In a phase with fractional excitations, topological properties are enriched
in the presence of global symmetry. In particular, fractional excitations can
transform under symmetry in a fractionalized manner, resulting in different
Symmetry Enriched Topological (SET) phases. While a good deal is now understood
in $2D$ regarding what symmetry fractionalization patterns are possible, the
situation in $3D$ is much more open. A new feature in $3D$ is the existence of
loop excitations, so to study $3D$ SET phases, first we need to understand how
to properly describe the fractionalized action of symmetry on loops. Using a
dimensional reduction procedure, we show that these loop excitations exist as
the boundary between two $2D$ SET phases, and the symmetry action is
characterized by the corresponding difference in SET orders. Moreover, similar
to the $2D$ case, we find that some seemingly possible symmetry
fractionalization patterns are actually anomalous and cannot be realized
strictly in $3D$. We detect such anomalies using the flux fusion method we
introduced previously in $2D$. To illustrate these ideas, we use the $3D$ $Z_2$
gauge theory with $Z_2$ global symmetry as an example, and enumerate and
describe the corresponding SET phases. In particular, we find four
non-anomalous SET phases and one anomalous SET phase, which we show can be
realized as the surface of a $4D$ system with symmetry protected topological
order.


title: Resolved Host Studies of Stellar Explosions

abstract:
  The host galaxies of nearby (z<0.3) core-collapse supernovae and
long-duration gamma-ray bursts offer an excellent means of probing the
environments and populations that produce these events' varied massive
progenitors. These same young stellar progenitors make LGRBs and SNe valuable
and potentially powerful tracers of star formation, metallicity, the IMF, and
the end phases of stellar evolution. However, properly utilizing these
progenitors as tools requires a thorough understanding of their formation and,
consequently, the physical properties of their parent host environments. This
review looks at some of the recent work on LGRB and SN hosts with resolved
environments that allows us to probe the precise explosion sites and
surrounding environments of these events in incredible detail.


title:
Dirac monopoles with polar-core vortex induced by spin-orbit coupling in
  spinor Bose-Einstein condensates

abstract:
  We report Dirac monopoles with polar-core vortex induced by spin-orbit
coupling in ferromagnetic Bose-Einstein condensates, which are attached to two
nodal vortex lines along the vertical axis. These monopoles are more stable in
the time scale of experiment and can be detected through directly imaging
vortex lines. When the strength of spin-orbit coupling increases, Dirac
monopoles with vortex can be transformed into those with square lattice. In the
presence of spin-orbit coupling, increasing the strength of interaction can
induce a cyclic phase transition from Dirac monopoles with polar-core vortex to
those with Mermin-Ho vortex. The spin-orbit coupled Bose-Einstein condensates
not only provide a new unique platform for investigating exotic monopoles and
relevant phase transitions, but also can preserve stable monopoles after a
quadrupole field is turned off.


title: Virtual beams and the Klein paradox for the Klein-Gordon equation

abstract:
  Whenever we consider any relativistic quantum wave equation we are confronted
with the Klein paradox, which asserts that incident particles will suffer a
surplus of reflection when dispersed by a discontinuous potential. Following
recent results on the Dirac equation, we propose a solution to this paradox for
the Klein-Gordon case by introducing virtual beams in a natural well-posed
generalization of the method of images in the theory of partial differential
equations. Thus, our solution considers a global reflection coefficient
obtained from the two contributions, the reflected particles plus the incident
virtual particles. Despite its simplicity, this method allows a reasonable
understanding of the paradox within the context of the quantum relativistic
theory of particles (according to the original setup for the Klein paradox) and
without resorting to any quantum field theoretic issues.


title:
Algebraic dependences and uniqueness problem of meromorphic mappings
  sharing moving hyperplanes without counting multiplicities

abstract:
  This article deals with the multiple values and algebraic dependences problem
of meromorphic mappings sharing moving hyperplanes in projective space. We give
some algebraic dependences theorems for meromorphic mappings sharing moving
hyperplanes without counting multiplicity, where all zeros with multiplicities
more than a certain number are omitted. Basing on these results, some unicity
theorems regardless of multiplicity for meromorphic mappings in several complex
variables are given. These results are extensions and strong improvements of
some recent results.


title: On the Factor Revealing LP Approach for Facility Location with Penalties

abstract:
  We consider the uncapacitated facility location problem with (linear) penalty
function and show that a modified JMS algorithm, combined with a randomized LP
rounding technique due to Byrka-Aardal[1], Li[14] and Li et al.[16] yields
1.488 approximation, improving the factor 1.5148 due to Li et al.[16]. This
closes the current gap between the classical facility location problem and this
penalized variant. Main ingredient is a straightforward adaptation of the JMS
algorithm to the penalty setting plus a consistent use of the upper bounding
technique for factor revealing LPs due to Fernandes et al.[7]. In contrast to
the bounds in [12], our factor revealing LP is monotone.


title:
On Diffusion-restricted Social Network: A Measurement Study of WeChat
  Moments

abstract:
  WeChat is a mobile messaging application that has 549 million active users as
of Q1 2015, and "WeChat Moments" (WM) serves its social-networking function
that allows users to post/share links of web pages. WM differs from the other
social networks as it imposes many restrictions on the information diffusion
process to mitigate the information overload. In this paper, we conduct a
measurement study on information diffusion in the WM network by crawling and
analyzing the spreading statistics of more than 160,000 pages that involve
approximately 40 million users. Specifically, we identify the relationship of
the number of posted pages and the number of views, the diffusion path length,
the similarity and distribution of users' locations as well as their
connections with the GDP of the users' province. For each individual WM page,
we measure its temporal characteristics (e.g., the life time, the popularity
within a time period); for each individual user, we evaluate how many of, or
how likely, one's friends will view his posted pages. Our results will help the
business to decide when and how to release the marketing pages over WM for
better publicity.


title: A functional inequality on the boundary of static manifolds

abstract:
  On the boundary of a compact Riemannian manifold $(\Omega, g)$ whose metric
$g$ is static, we establish a functional inequality involving the static
potential of $(\Omega, g)$, the second fundamental form and the mean curvature
of the boundary $\partial \Omega$ respectively.


title:
Optimality of Myopic Policy for Restless Multiarmed Bandit with
  Imperfect Observation

abstract:
  We consider the scheduling problem concerning N projects. Each project
evolves as a multi-state Markov process. At each time instant, one project is
scheduled to work, and some reward depending on the state of the chosen project
is obtained. The objective is to design a scheduling policy that maximizes the
expected accumulated discounted reward over a finite or infinite horizon. The
considered problem can be cast into a restless multi-armed bandit (RMAB)
problem that is of fundamental importance in decision theory. It is well-known
that solving the RMAB problem is PSPACE-hard, with the optimal policy usually
intractable due to the exponential computation complexity. A natural
alternative is to consider the easily implementable myopic policy that
maximizes the immediate reward. In this paper, we perform an analytical study
on the considered RMAB problem, and establish a set of closed-form conditions
to guarantee the optimality of the myopic policy.


title:
Construction and characterization of graphs whose each spanning tree has
  a perfect matching

abstract:
  An edge subset $S$ of a connected graph $G$ is called an anti-Kekul\'{e} set
if $G-S$ is connected and has no perfect matching. We can see that a connected
graph $G$ has no anti-Kekul\'{e} set if and only if each spanning tree of $G$
has a perfect matching. In this paper, by applying Tutte's 1-factor theorem and
structure of minimally 2-connected graphs, we characterize all graphs whose
each spanning tree has a perfect matching In addition, we show that if $G$ is a
connected graph of order $2n$ for a positive integer $n\geq 4$ and size $m$
whose each spanning tree has a perfect matching, then $m\leq \frac{(n+1)n} 2$,
with equality if and only if $G\cong K_n\circ K_1$.


title: A Bayesian nonparametric chi-squared goodness-of-fit test

abstract:
  The Bayesian nonparametric inference and Dirichlet process are popular tools
in statistical methodologies. In this paper, we employ the Dirichlet process in
hypothesis testing to propose a Bayesian nonparametric chi-squared
goodness-of-fit test. In our Bayesian nonparametric approach, we consider the
Dirichlet process as the prior for the distribution of data and carry out the
test based on the Kullback-Leibler distance between the updated Dirichlet
process and the hypothesized distribution F0. We prove that this distance
asymptotically converges to the same chi-squared distribution as the
chi-squared test does. Similarly, a Bayesian nonparametric chi-squared test of
independence for a contingency table is provided. Also, by computing the
Kullback-Leibler distance between the Dirichlet process and the hypothesized
distribution, a method to obtain an appropriate concentration parameter for the
Dirichlet process is suggested.


title: Discussion on Mechanical Learning and Learning Machine

abstract:
  Mechanical learning is a computing system that is based on a set of simple
and fixed rules, and can learn from incoming data. A learning machine is a
system that realizes mechanical learning. Importantly, we emphasis that it is
based on a set of simple and fixed rules, contrasting to often called machine
learning that is sophisticated software based on very complicated mathematical
theory, and often needs human intervene for software fine tune and manual
adjustments. Here, we discuss some basic facts and principles of such system,
and try to lay down a framework for further study. We propose 2 directions to
approach mechanical learning, just like Church-Turing pair: one is trying to
realize a learning machine, another is trying to well describe the mechanical
learning.


title:
Gaussian approximation for the sup-norm of high-dimensional
  matrix-variate U-statistics and its applications

abstract:
  This paper studies the Gaussian approximation of high-dimensional and
non-degenerate U-statistics of order two under the supremum norm. We propose a
two-step Gaussian approximation procedure that does not impose structural
assumptions on the data distribution. Specifically, subject to mild moment
conditions on the kernel, we establish the explicit rate of convergence that
decays polynomially in sample size for a high-dimensional scaling limit, where
the dimension can be much larger than the sample size. We also supplement a
practical Gaussian wild bootstrap method to approximate the quantiles of the
maxima of centered U-statistics and prove its asymptotic validity. The wild
bootstrap is demonstrated on statistical applications for high-dimensional
non-Gaussian data including: (i) principled and data-dependent tuning parameter
selection for regularized estimation of the covariance matrix and its related
functionals; (ii) simultaneous inference for the covariance and rank
correlation matrices. In particular, for the thresholded covariance matrix
estimator with the bootstrap selected tuning parameter, we show that the
Gaussian-like convergence rates can be achieved for heavy-tailed data, which
are less conservative than those obtained by the Bonferroni technique that
ignores the dependency in the underlying data distribution. In addition, we
also show that even for subgaussian distributions, error bounds of the
bootstrapped thresholded covariance matrix estimator can be much tighter than
those of the minimax estimator with a universal threshold.