title: A survey on geometry of warped product submanifolds

abstract:
  The warped product $N_1\times_f N_2$ of two Riemannian manifolds $(N_1,g_1)$
and $(N_2,g_2)$ is the product manifold $N_1\times N_2$ equipped with the
warped product metric $g=g_1+f^2 g_2$, where $f$ is a positive function on
$N_1$. The notion of warped product manifolds is one of the most fruitful
generalizations of Riemannian products. Such notion plays very important roles
in differential geometry as well as in physics, especially in general
relativity. Warped product manifolds have been studied for a long period of
time. In contrast, the study of warped product submanifolds was only initiated
around the beginning of this century.
  In this article we survey important results on warped product submanifolds in
various ambient manifolds. It is the author's hope that this survey article
will provide a good introduction on the theory of warped product submanifolds
as well as a useful reference for further research on this vibrant research
subject.


title:
A thermodynamic formalism for continuous time Markov chains with values
  on the Bernoulli Space: entropy, pressure and large deviations

abstract:
  Through this paper we analyze the ergodic properties of continuous time
Markov chains with values on the one-dimensional spin lattice 1,...,d}^N (also
known as the Bernoulli space). Initially, we consider as the infinitesimal
generator the operator $L={\mc L}_A -I$, where \mc L_A is a discrete time
Ruelle operator (transfer operator), and A:{1,...,d}^N \to R is a given fixed
Lipschitz function. The associated continuous time stationary Markov chain will
define the\emph{a priori}probability.
  Given a Lipschitz interaction V:\{1,...,d\}^{\bb N}\to \mathbb{R}, we are
interested in Gibbs (equilibrium) state for such $V$. This will be another
continuous time stationary Markov chain. In order to analyze this problem we
will use a continuous time Ruelle operator (transfer operator) naturally
associated to V. Among other things we will show that a continuous time
Perron-Frobenius Theorem is true in the case V is a Lipschitz function.
  We also introduce an entropy, which is negative, and we consider a
variational principle of pressure. Finally, we analyze large deviations
properties for the empirical measure in the continuous time setting using
results by Y. Kifer.


title:
Bayesian Inference for partially observed SDEs Driven by Fractional
  Brownian Motion

abstract:
  We consider continuous-time diffusion models driven by fractional Brownian
motion. Observations are assumed to possess a non-trivial likelihood given the
latent path. Due to the non-Markovianity and high-dimensionality of the latent
paths, estimating posterior expectations is a computationally challenging
undertaking. We present a reparameterization framework based on the Davies and
Harte method for sampling stationary Gaussian processes and use this framework
to construct a Markov chain Monte Carlo algorithm that allows computationally
efficient Bayesian inference. The Markov chain Monte Carlo algorithm is based
on a version of hybrid Monte Carlo that delivers increased efficiency when
applied on the high-dimensional latent variables arising in this context. We
specify the methodology on a stochastic volatility model allowing for memory in
the volatility increments through a fractional specification. The methodology
is illustrated on simulated data and on the S&P500/VIX time series and is shown
to be effective. Contrary to a long range dependence attribute of such models
often assumed in the literature, with Hurst parameter larger than 1/2, the
posterior distribution favours values smaller than 1/2, pointing towards medium
range dependence.


title: Global envelope tests for spatial processes

abstract:
  Envelope tests are a popular tool in spatial statistics, where they are used
in goodness-of-fit testing. These tests graphically compare an empirical
function $T(r)$ with its simulated counterparts from the null model. However,
the type I error probability $\alpha$ is conventionally controlled for a fixed
distance $r$ only, whereas the functions are inspected on an interval of
distances $I$. In this study, we propose two approaches related to Barnard's
Monte Carlo test for building global envelope tests on $I$:(1) ordering the
empirical and simulated functions based on their $r$-wise ranks among each
other, and (2) the construction of envelopes for a deviation test. These new
tests allow the a priori selection of the global $\alpha$ and they yield
$p$-values. We illustrate these tests using simulated and real point pattern
data.


title: Continuous Forest Fire Propagation in a Local Small World Network Model

abstract:
  This paper presents the development of a new continuous forest fire model
implemented as a weighted local small-world network approach. This new approach
was designed to simulate fire patterns in real, heterogeneous landscapes. The
wildland fire spread is simulated on a square lattice in which each cell
represents an area of the land's surface. The interaction between burning and
non-burning cells, in the present work induced by flame radiation, may be
extended well beyond nearest neighbors. It depends on local conditions of
topography and vegetation types. An approach based on a solid flame model is
used to predict the radiative heat flux from the flame generated by the burning
of each site towards its neighbors. The weighting procedure takes into account
the self-degradation of the tree and the ignition processes of a combustible
cell through time. The model is tested on a field presenting a range of slopes
and with data collected from a real wildfire scenario. The critical behavior of
the spreading process is investigated.


title:
On the steady-state probability of delay and large negative deviations
  for the $GI/GI/n$ queue in the Halfin-Whitt regime

abstract:
  We consider the FCFS $GI/GI/n$ queue in the Halfin-Whitt heavy traffic
regime, and prove bounds for the steady-state probability of delay (s.s.p.d.)
for generally distributed processing times. We prove that there exist
$\epsilon_1, \epsilon_2 > 0$, depending on the first three moments of the
inter-arrival and processing time distributions, such that the s.s.p.d. is
bounded from above by $\exp\big(-\epsilon_1 B^2\big)$ as the associated excess
parameter $B \rightarrow \infty$; and by $1 - \epsilon_2 B$ as $B \rightarrow
0$. We also prove that the tail of the steady-state number of idle servers has
a Gaussian decay. We provide explicit bounds in all cases, in terms of the
first three moments of the inter-arrival and service distributions, and use
known results to show that our bounds correctly capture various qualitative
scalings. \\\indent Our main proof technique is the derivation of new
stochastic comparison bounds for the FCFS $GI/GI/n$ queue, which are of a
structural nature, hold for all $n$ and times $t$, and significantly generalize
the work of \citet{GG.10c} (e.g. by providing bounds for the queue length to
exceed any given level, as opposed to any given level strictly greater than the
number of servers as acheived in \citet{GG.10c}). Our results do not follow
from simple comparison arguments to e.g. infinite-server systems or loss
models, which would in all cases provide bounds in the opposite direction.


title: Fractional vortex molecules and vortex polygons in a baby Skyrme model

abstract:
  We construct a molecule of fractional vortices with fractional topological
lump charges as a baby Skyrmion with the unit topological lump charge in the
anti-ferromagnetic (or XY) baby Skyrme model, that is, an O(3) sigma model with
a four derivative term and an anti-ferromagnetic or XY-type potential term
quadratic in fields. We further construct configurations with topological lump
charges Q <= 7 and find that bound states of vortex molecules constitute
regular polygons with 2Q vertices as vortices, where the rotational symmetry
SO(2) in real space is spontaneously broken into a discrete subgroup Z_Q. We
also find metastable and arrayed bound states of fractional vortices for Q=5,6.
On the other hand, we find for Q=7 that the regular polygon is metastable and
the arrayed bound state is stable. We calculate binding energies of all
configurations.


title:
Form factors in sinh- and sine-Gordon models, deformed Virasoro algebra,
  Macdonald polynomials and resonance identities

abstract:
  We continue the study of form factors of descendant operators in the sinh-
and sine-Gordon models in the framework of the algebraic construction proposed
in [arXiv:0812.4776]. We find the algebraic construction to be related to a
particular limit of the tensor product of the deformed Virasoro algebra and a
suitably chosen Heisenberg algebra. To analyze the space of local operators in
the framework of the form factor formalism we introduce screening operators and
construct singular and cosingular vectors in the Fock spaces related to the
free field realization of the obtained algebra. We show that the singular
vectors are expressed in terms of the degenerate Macdonald polynomials with
rectangular partitions. We study the matrix elements that contain a singular
vector in one chirality and a cosingular vector in the other chirality and find
them to lead to the resonance identities already known in the conformal
perturbation theory. Besides, we give a new derivation of the equation of
motion in the sinh-Gordon theory, and a new representation for conserved
currents.


title: On distances and metrics in discrete ordered sets

abstract:
  Discrete partially ordered sets can be turned into distance spaces in several
ways. The distance functions may or may not satisfy the triangle inequality,
and restriction of the distance to finite chains may or may not coincide with
the natural, difference-of-height distance measured in a chain. For
semilattices, a semimodularity condition ensures the good behavior of the
distances considered. This condition is trivially satisfied by trees, and in
lattices it coincides with the usual semimodularity property. For a large class
of distance functions the triangle inequality is equivalent to semimodularity.


title:
Recent developments of biharmonic conjecture and modified biharmonic
  conjectures

abstract:
  A submanifold $M$ of a Euclidean $m$-space is said to be biharmonic if
$\Delta \overrightarrow H=0$ holds identically, where $\overrightarrow H$ is
the mean curvature vector field and $\Delta$ is the Laplacian on $M$. In 1991,
the author conjectured that every biharmonic submanifold of a Euclidean space
is minimal. The study of biharmonic submanifolds is nowadays a very active
research subject. In particular, since 2000 biharmonic submanifolds have been
receiving a growing attention and have become a popular subject of study with
many progresses.
  In this article, we provide a brief survey on recent developments concerning
my original conjecture and generalized biharmonic conjectures. At the end of
this article, I present two modified conjectures related with biharmonic
submanifolds.


title: Noisy soccer balls

abstract:
  In her Comment arXiv:1202.4066 [hep-th] Hossenfelder proposes a
generalization of the results we reported in Phys. Rev. D84 (2011) 087702 and
argues that thermal fluctuations introduce incurable pathologies for the
description of macroscopic bodies in the relative-locality framework. We here
show that Hossenfelder's analysis, while raising a very interesting point, is
incomplete and leads to incorrect conclusions. Her estimate for the
fluctuations did not take into account some contributions from the geometry of
momentum space which must be included at the relevant order of approximation.
Using the full expression here derived one finds that thermal fluctuations are
not in general large for macroscopic bodies in the relative-locality framework.
We find that such corrections can be unexpectedly large only for some choices
of momentum-space geometry, and we comment on the possibility of developing a
phenomenology suitable for possibly ruling out such geometries of momentum
space.


title: Progressive Blue Surfels

abstract:
  In this paper we describe a new technique to generate and use surfels for
rendering of highly complex, polygonal 3D scenes in real time. The basic idea
is to approximate complex parts of the scene by rendering a set of points
(surfels). The points are computed in a preprocessing step and offer two
important properties: They are placed only on the visible surface of the
scene's geometry and they are distributed and sorted in such a way, that every
prefix of points is a good visual representation of the approximated part of
the scene. An early evaluation of the method shows that it is capable of
rendering scenes consisting of several billions of triangles with high image
quality.


title: Universal power law for the energy spectrum of breaking Riemann waves

abstract:
  The universal power law for the spectrum of one-dimensional breaking Riemann
waves is justified for the simple wave equation. The spectrum of spatial
amplitudes at the breaking time $t = t_b$ has an asymptotic decay of
$k^{-4/3}$, with corresponding energy spectrum decaying as $k^{-8/3}$. This
spectrum is formed by the singularity of the form $(x-x_b)^{1/3}$ in the wave
shape at the breaking time. This result remains valid for arbitrary nonlinear
wave speed. In addition, we demonstrate numerically that the universal power
law is observed for long time in the range of small wave numbers if small
dissipation or dispersion is accounted in the viscous Burgers or Korteweg-de
Vries equations.


title:
Electric Field Effect Thermoelectric Transport in Individual Silicon and
  Germanium/Silicon Nanowire

abstract:
  We have simultaneously measured conductance and thermoelectric power (TEP) of
individual silicon and germanium/silicon core/shell nanowires in the field
effect transistor device configuration. As the applied gate voltage changes,
the TEP shows distinctly different behaviors while the electrical conductance
exhibits the turn-off, subthreshold, and saturation regimes respectively. At
room temperature, peak TEP value of $\sim 300 \mu$V/K is observed in the
subthreshold regime of the Si devices. The temperature dependence of the
saturated TEP values are used to estimate the carrier doping of Si nanowires.


title:
Maximally stretched laminations on geometrically finite hyperbolic
  manifolds

abstract:
  Let Gamma_0 be a discrete group. For a pair (j,rho) of representations of
Gamma_0 into PO(n,1)=Isom(H^n) with j geometrically finite, we study the set of
(j,rho)-equivariant Lipschitz maps from the real hyperbolic space H^n to itself
that have minimal Lipschitz constant. Our main result is the existence of a
geodesic lamination that is "maximally stretched" by all such maps when the
minimal constant is at least 1. As an application, we generalize
two-dimensional results and constructions of Thurston and extend his asymmetric
metric on Teichm\"uller space to a geometrically finite setting and to higher
dimension. Another application is to actions of discrete subgroups Gamma of
PO(n,1)xPO(n,1) on PO(n,1) by right and left multiplication: we give a double
properness criterion for such actions, and prove that for a large class of
groups Gamma the action remains properly discontinuous after any small
deformation of Gamma inside PO(n,1)xPO(n,1).


title:
Scalable quantum computing based on stationary spin qubits in coupled
  quantum dots inside double-sided optical microcavities

abstract:
  Quantum logic gates are the key elements in quantum computing. Here we
investigate the possibility of achieving a scalable and compact quantum
computing based on stationary electron-spin qubits, by using the giant optical
circular birefringence induced by quantum-dot spins in double-sided optical
microcavities as a result of cavity quantum electrodynamics. We design the
compact quantum circuits for implementing universal and deterministic quantum
gates for electron-spin systems, including the two-qubit CNOT gate and the
three-qubit Toffoli gate. They are compact and economic, and they do not
require additional electron-spin qubits. Moreover, our devices have good
scalability and are attractive as they both are based on solid-state quantum
systems and the qubits are stationary. They are feasible with the current
experimental technology, and both high fidelity and high efficiency can be
achieved when the ratio of the side leakage to the cavity decay is low.


title: Semi-supervised clustering methods

abstract:
  Cluster analysis methods seek to partition a data set into homogeneous
subgroups. It is useful in a wide variety of applications, including document
processing and modern genetics. Conventional clustering methods are
unsupervised, meaning that there is no outcome variable nor is anything known
about the relationship between the observations in the data set. In many
situations, however, information about the clusters is available in addition to
the values of the features. For example, the cluster labels of some
observations may be known, or certain observations may be known to belong to
the same cluster. In other cases, one may wish to identify clusters that are
associated with a particular outcome variable. This review describes several
clustering algorithms (known as "semi-supervised clustering" methods) that can
be applied in these situations. The majority of these methods are modifications
of the popular k-means clustering method, and several of them will be described
in detail. A brief description of some other semi-supervised clustering
algorithms is also provided.


title: Exploratory Learning

abstract:
  In multiclass semi-supervised learning (SSL), it is sometimes the case that
the number of classes present in the data is not known, and hence no labeled
examples are provided for some classes. In this paper we present variants of
well-known semi-supervised multiclass learning methods that are robust when the
data contains an unknown number of classes. In particular, we present an
"exploratory" extension of expectation-maximization (EM) that explores
different numbers of classes while learning. "Exploratory" SSL greatly improves
performance on three datasets in terms of F1 on the classes with seed examples
i.e., the classes which are expected to be in the data. Our Exploratory EM
algorithm also outperforms a SSL method based non-parametric Bayesian
clustering.


title: The Art of Memory and the Growth of the Scientific Method

abstract:
  I argue that European schools of thought on memory and memorization were
critical in enabling the growth of the scientific method. After giving a
historical overview of the development of the memory arts from ancient Greece
through 17th century Europe, I describe how the Baconian viewpoint on the
scientific method was fundamentally part of a culture and a broader dialogue
that conceived of memorization as a foundational methodology for structuring
knowledge and for developing symbolic means for representing scientific
concepts. The principal figures of this intense and rapidly evolving
intellectual milieu included some of the leading thinkers traditionally
associated with the scientific revolution; among others, Francis Bacon, Renes
Descartes, and Gottfried Leibniz. I close by examining the acceleration of
mathematical thought in light of the art of memory and its role in 17th century
philosophy, and in particular, Leibniz' project to develop a universal
calculus.


title:
Elementary excitations probed by L-edge resonant inelastic x-ray
  scattering in systems with weak and intermediate electron correlations

abstract:
  We develop a formalism to calculate the L-edge resonant x-ray scattering
(RIXS) spectra from transition-metal compounds. Using a multi-orbital
tight-binding model, we derive useful formulas to calculate the spectra by
collecting up the ladder diagrams on the basis of the Keldysh scheme, without
relying on the fast collision approximation. They are feasible in the weak and
intermediate coupling regimes of itinerant electron systems, where the charge
and the magnetic excitations are mixed together. We examine the difference
between the present formulas and those of the fast collision approximation.
Finally, to demonstrate how our theory works, we employ the formulas to study
the RIXS spectra on a simple model, the single-orbital Hubbard model on the
square lattice at half-filling. The intensities originated from the magnon and
from the continuous states are obtained on the equal footing in the
antiferromagnetic ground state.


title:
Quantum astrometric observables II: time delay in linearized quantum
  gravity

abstract:
  A clock synchronization thought experiment is modeled by a diffeomorphism
invariant "time delay" observable. In a sense, this observable probes the
causal structure of the ambient Lorentzian spacetime. Thus, upon quantization,
it is sensitive to the long expected smearing of the light cone by vacuum
fluctuations in quantum gravity. After perturbative linearization, its mean and
variance are computed in the Minkowski Fock vacuum of linearized gravity. The
na\"ive divergence of the variance is meaningfully regularized by a length
scale $\mu$, the physical detector resolution. This is the first time vacuum
fluctuations have been fully taken into account in a similar calculation.
Despite some drawbacks this calculation provides a useful template for the
study of a large class of similar observables in quantum gravity. Due to their
large volume, intermediate calculations were performed using computer algebra
software. The resulting variance scales like $(s \ell_p/\mu)^2$, where $\ell_p$
is the Planck length and $s$ is the distance scale separating the ("lab" and
"probe") clocks. Additionally, the variance depends on the relative velocity of
the lab and the probe, diverging for low velocities. This puzzling behavior may
be due to an oversimplified detector resolution model or a neglected second
order term in the time delay.


title:
Characterization of hyperfine interaction between single electron and
  single nuclear spins in diamond assisted by quantum beat from the nuclear
  spin

abstract:
  Precise characterization of a hyperfine interaction is a prerequisite for
high fidelity manipulations of electron and nuclear spins belonging to a hybrid
qubit register in diamond. Here, we demonstrate a novel scheme for determining
a hyperfine interaction, using single-quantum and zero-quantum Ramsey fringes,
by applying it to the system of a Nitrogen Vacancy (NV) center and a $^{13}$C
nuclear spin in the 1$^{\mathrm{st}}$ shell. The zero-quantum Ramsey fringe,
analogous to the quantum beat in a $\Lambda$-type level structure, particularly
enhances the measurement precision for non-secular hyperfine terms. Precisions
less than 0.5 MHz in the estimation of all the components in the hyperfine
tensor were achieved. Furthermore, for the first time we experimentally
determined the principal axes of the hyperfine interaction in the system.
Beyond the 1$^{\mathrm{st}}$ shell, this method can be universally applied to
other $^{13}$C nuclear spins interacting with the NV center.


title: Verification-Based Interval-Passing Algorithm for Compressed Sensing

abstract:
  We propose a verification-based Interval-Passing (IP) algorithm for
iteratively reconstruction of nonnegative sparse signals using parity check
matrices of low-density parity check (LDPC) codes as measurement matrices. The
proposed algorithm can be considered as an improved IP algorithm by further
incorporation of the mechanism of verification algorithm. It is proved that the
proposed algorithm performs always better than either the IP algorithm or the
verification algorithm. Simulation results are also given to demonstrate the
superior performance of the proposed algorithm.


title: The algebraicity of ill-distributed sets

abstract:
  We show that every set S in [N]^d occupying less than p^t residue classes for
some real number t < d and every prime p, must essentially lie in the solution
set of a polynomial equation of degree at most (log N)^C, for some constant C
depending only on t and d. This provides the first structural result for
arbitrary t < d and S.


title:
Dirac Fermions and Superconductivity in Homologous Structures
  (AgxPb1-xSe)5(Bi2Se3)3m,m = 1,2

abstract:
  A newly discovered topological insulator (AgxPb1-xSe)5(Bi2Se3)3m, m=2, has a
band gap of 0.5 eV, the largest value ever reported in topological insulators
(TIs). We present a magnetoconductivity study of the Dirac electrons of this
compound in the quantum diffusion regime. Two dimensional weak antilocalization
was observed and identified as destructive interference caused by the Berry
phase of this topological state. We find that the phase coherence length of the
Dirac electrons is independent of doping and disorder levels. This provides
proof for the absence of backscattering arising from the protection of time
reversal invariance in TI (AgxPb1-xSe)5(Bi2Se3)3m, m=2. We further report that
the homologous compound (AgxPb1-xSe)5(Bi2Se3)3m, m=1 is a superconductor with a
transition temperature Tc = 1.7 K. The related structures of these two phases
allow lateral intergrowth of crystals to occur naturally, offering an
opportunity to observe the Majorana Fermion state at the boundary of two
intergrown crystals.


title:
WebSets: Extracting Sets of Entities from the Web Using Unsupervised
  Information Extraction

abstract:
  We describe a open-domain information extraction method for extracting
concept-instance pairs from an HTML corpus. Most earlier approaches to this
problem rely on combining clusters of distributionally similar terms and
concept-instance pairs obtained with Hearst patterns. In contrast, our method
relies on a novel approach for clustering terms found in HTML tables, and then
assigning concept names to these clusters using Hearst patterns. The method can
be efficiently applied to a large corpus, and experimental results on several
datasets show that our method can accurately extract large numbers of
concept-instance pairs.


title: Quantum orbifold Hirzebruch-Riemann-Roch theorem in genus zero

abstract:
  We introduce K-theoretic Gromov-Witten invariants of algebraic orbifold
target spaces. Using the methods developed by Givental-Tonita we characterize
Giventals Lagrangian cone of quantum K theory of orbifolds in terms of the
cohomological cone.


title:
Large-scale mapping of the massive star-forming region RCW38 in the
  [CII] and PAH emission

abstract:
  We investigate the large-scale structure of the interstellar medium (ISM)
around the massive star cluster RCW38 in the [CII] 158 um line and polycyclic
aromatic hydrocarbon (PAH) emission. We carried out [CII] line mapping of an
area of ~30'x15' for RCW~38 by a Fabry-Perot spectrometer on a 100 cm
balloon-borne telescope with an angular resolution of ~1'.5. We compared the
[CII] intensity map with the PAH and dust emission maps obtained by the AKARI
satellite. The [CII] emission shows a highly nonuniform distribution around the
cluster, exhibiting the structure widely extended to the north and the east
from the center. The [CII] intensity rapidly drops toward the southwest
direction, where a CO cloud appears to dominate. We decompose the 3-160 um
spectral energy distributions of the surrounding ISM structure into PAH as well
as warm and cool dust components with the help of 2.5-5 um spectra. We find
that the [CII] emission spatially corresponds to the PAH emission better than
to the dust emission, confirming the relative importance of PAHs for
photo-electric heating of gas in photo-dissociation regions. A naive
interpretation based on our observational results indicates that molecular
clouds associated with RCW38 are located both on the side of and behind the
cluster.


title:
Utility-maximization Resource Allocation for Device-to-Device
  Communication Underlaying Cellular Networks

abstract:
  Device-to-device(D2D) underlaying communication brings great benefits to the
cellular networks from the improvement of coverage and spectral efficiency at
the expense of complicated transceiver design. With frequency spectrum sharing
mode, the D2D user generates interference to the existing cellular networks
either in downlink or uplink. Thus the resource allocation for D2D pairs should
be designed properly in order to reduce possible interference, in particular
for uplink. In this paper, we introduce a novel bandwidth allocation scheme to
maximize the utilities of both D2D users and cellular users. Since the
allocation problem is strongly NP-hard, we apply a relaxation to the
association indicators. We propose a low-complexity distributed algorithm and
prove the convergence in a static environment. The numerical result shows that
the proposed scheme can significant improve the performance in terms of
utilities.The performance of D2D communications depends on D2D user locations,
the number of D2D users and QoS(Quality of Service) parameters.


title: Skew-monoidal categories and the Catalan simplicial set

abstract:
  The basic data for a skew-monoidal category are the same as for a monoidal
category, except that the constraint morphisms are no longer required to be
invertible. The constraints are given a specific orientation and satisfy Mac
Lane's five axioms. Whilst recent applications justify the use of skew-monoidal
structure, they do not give an intrinsic justification for the form the
structure takes (the orientation of the constraints and the axioms that they
satisfy). This paper provides a perspective on skew-monoidal structure which,
amongst other things, makes it quite apparent why this particular choice is a
natural one. To do this, we use the Catalan simplicial set C. It turns out to
be quite easy to describe: it is the nerve of the monoidal poset (2, v, 0) and
has a Catalan number of simplices at each dimension (hence the name). Our
perspective is that C classifies skew-monoidal structures in the sense that
simplicial maps from C into a suitably-defined nerve of Cat are precisely
skew-monoidal categories. More generally, skew monoidales in a monoidal
bicategory K are classified by maps from C into the simplicial nerve of K.


title: Inside and outside stories of black-branes in anti de Sitter space

abstract:
  In this paper, we investigate the dynamics inside and outside of black-branes
in anti de Sitter space by numerical simulations using double-null formalism.
We prepare a charged planar matter shell which, due to a negative cosmological
constant, collapses and dynamically forms a black-brane with an apparent
horizon, a singularity and a Cauchy horizon. The gravitational collapse cannot
form a naked overcharged black-brane and hence weak cosmic censorship is safe.
Although mass inflation occurs, the effect is much milder than in the case of
charged black holes; hence, strong cosmic censorship seems not to be safe. We
observed the scalar field dynamics outside the horizon. There should remain a
non-trivial scalar field combination - 'charge cloud' - between the horizon and
the boundary. This can give some meaning in terms of the AdS/CFT
correspondence.


title:
Deformation Expression for Elements of Algebras (VIII) --SU(2)-vacuum
  and the regular representation space--

abstract:
  Consider the problem "Give the equation of the conceptional rotations in
${\mathbb R}^3$ without using the parameter expressing individual rotations",
just as the conceptional motion of constant velocity along straight lines
(Galiley motions) is expressed by an elementary differential equation. In this
we try to give an answer to the topic related with the above issue.


title:
80hk Momentum Separation with Bloch Oscillations in an Optically Guided
  Atom Interferometer

abstract:
  We demonstrate phase sensitivity in a horizontally guided,
acceleration-sensitive atom interferometer with a momentum separation of 80hk
between its arms. A fringe visibility of 7% is observed. Our coherent pulse
sequence accelerates the cold cloud in an optical waveguide, an inherently
scalable route to large momentum separation and high sensitivity. We maintain
coherence at high momentum separation due to both the transverse confinement
provided by the guide, and our use of optical delta-kick cooling on our
cold-atom cloud. We also construct a horizontal interferometric gradiometer to
measure the longitudinal curvature of our optical waveguide.


title:
Shear thickening in concentrated suspensions: phenomenology, mechanisms,
  and relations to jamming

abstract:
  Shear thickening is a type of non-Newtonian behavior in which the stress
required to shear a fluid increases faster than linearly with shear rate. Many
concentrated suspensions of particles exhibit an especially dramatic version,
known as Discontinuous Shear Thickening (DST), in which the stress suddenly
jumps with increasing shear rate and produces solid-like behavior. The best
known example of such counter-intuitive response to applied stresses occurs in
mixtures of cornstarch in water. Over the last several years, this
shear-induced solid-like behavior together with a variety of other unusual
fluid phenomena has generated considerable interest in the physics of densely
packed suspensions. In this review, we discuss the common physical properties
of systems exhibiting shear thickening, and different mechanisms and models
proposed to describe it. We then suggest how these mechanisms may be related
and generalized, and propose a general phase diagram for shear thickening
systems. We also discuss how recent work has related the physics of shear
thickening to that of granular materials and jammed systems. Since DST is
described by models that require only simple generic interactions between
particles, we outline the broader context of other concentrated many-particle
systems such as foams and emulsions, and explain why DST is restricted to the
parameter regime of hard-particle suspensions. Finally, we discuss some of the
outstanding problems and emerging opportunities.


title:
Barriers, exit time and survival probability for unimodal L\'evy
  processes

abstract:
  We construct superharmonic functions and give sharp bounds for the expected
exit time and probability of survival for isotropic unimodal L\'evy processes


title: Model independent interpretation of recent CR lepton data after AMS-02

abstract:
  We model the CR leptonic fluxes above 20 GeV in terms of a superposition of a
standard and a charge symmetric extra component, which we generically describe
as power-laws in momentum. We investigate under these hypotheses the
compatibility between AMS-02, Fermi-LAT and PAMELA datasets on positron
fraction, electron+positron spectrum and electron spectrum respectively. We
find that it is possible to reconcile AMS and Fermi-LAT data within
uncertainties, if energy-dependent effects are present in Fermi-LAT
systematics. We also study possible deviations from charge symmetry in the
extra component and find no compelling evidence for them.


title:
Informational correlation between two parties of a quantum system: short
  spin-1/2 chains with XY Hamiltonian

abstract:
  We introduce the informational correlation $E^{AB}$ between two interacting
quantum subsystems $A$ and $B$ of a quantum system as the number of arbitrary
parameters $\varphi_i$ of a unitary transformation $U^A$ (locally performed on
the subsystem $A$) which may be detected in the subsystem $B$ by the local
measurements. This quantity indicates whether the state of the subsystem $B$
may be effected by means of the unitary transformation applied to the subsystem
$A$. Emphasize that $E^{AB}\neq E^{BA}$ in general. The informational
correlations in systems with tensor product initial states are studied in more
details. In particular, it is shown that the informational correlation may be
changed by the local unitary transformations of the subsystem $B$. However,
there is some non-reducible part of $E^{AB}(t)$ which may not be decreased by
any unitary transformation of the subsystem $B$ at a fixed time instant $t$.
Two examples of the informational correlations between two parties of the four
node spin-1/2 chain are studied.


title: Generating Finite Dimensional Integrable Nonlinear Dynamical Systems

abstract:
  In this article, we present a brief overview of some of the recent progress
made in identifying and generating finite dimensional integrable nonlinear
dynamical systems, exhibiting interesting oscillatory and other solution
properties, including quantum aspects. Particularly we concentrate on Lienard
type nonlinear oscillators and their generalizations and coupled versions.
Specific systems include Mathews-Lakshmanan oscillators, modified Emden
equations, isochronous oscillators and generalizations. Nonstandard Lagrangian
and Hamiltonian formulations of some of these systems are also briefly touched
upon. Nonlocal transformations and linearization aspects are also discussed.


title: On the gravitational redshift

abstract:
  The study of the gravitational redshift\,---\,a relative wavelength increase
of $\approx 2 \times 10^{-6}$ was predicted for solar radiation by Einstein in
1908\,---\,is still an important subject in modern physics. In a dispute
whether or not atom interferometry experiments can be employed for
gravitational redshift measurements, two research teams have recently disagreed
on the physical cause of the shift. Regardless of any discussion on the
interferometer aspect\,---\,we find that both groups of authors miss the
important point that the ratio of gravitational to the electrostatic forces is
generally very small. For instance, the gravitational force acting on an
electron in a hydrogen atom situated in the Sun's photosphere to the
electrostatic force between the proton and the electron is approximately $3
\times 10^{-21}$. A comparison of this ratio with the predicted and observed
solar redshift indicates a discrepancy of many orders of magnitude. Here we
show, with Einstein's early assumption of the frequency of spectral lines
depending only on the generating ion itself as starting point, that a solution
can be formulated based on a two-step process in analogy with Fermi's treatment
of the Doppler effect. It provides a sequence of physical processes in line
with the conservation of energy and momentum resulting in the observed shift
and does not employ a geometric description. The gravitational field affects
the release of the photon and not the atomic transition. The control parameter
is the speed of light. The atomic emission is then contrasted with the
gravitational redshift of matter-antimatter annihilation events.


title:
Structure and mechanical characterization of DNA i-motif nanowires by
  molecular dynamics simulation

abstract:
  We studied the structure and mechanical properties of DNA i-motif nanowires
by means of molecular dynamics computer simulations. We built up to 230 nm long
nanowires, based on a repeated TC5 sequence from crystallographic data, fully
relaxed and equilibrated in water. The unusual stacked C*C+ stacked structure,
formed by four ssDNA strands arranged in an intercalated tetramer, is here
fully characterized both statically and dynamically. By applying stretching,
compression and bending deformation with the steered molecular dynamics and
umbrella sampling methods, we extract the apparent Young's and bending moduli
of the nanowire, as wel as estimates for the tensile strength and persistence
length. According to our results, the i-motif nanowire shares similarities with
structural proteins, as far as its tensile stiffness, but is closer to nucleic
acids and flexible proteins, as far as its bending rigidity is concerned.
Furthermore, thanks to its very thin cross section, the apparent tensile
toughness is close to that of a metal. Besides their yet to be clarified
biological significance, i-motif nanowires may qualify as interesting
candidates for nanotechnology templates, due to such outstanding mechanical
properties.


title:
Controllability Analysis and Degraded Control for a Class of Hexacopters
  Subject to Rotor Failures

abstract:
  This paper considers the controllability analysis and fault tolerant control
problem for a class of hexacopters. It is shown that the considered hexacopter
is uncontrollable when one rotor fails, even though the hexacopter is
over-actuated and its controllability matrix is row full rank. According to
this, a fault tolerant control strategy is proposed to control a degraded
system, where the yaw states of the considered hexacopter are ignored.
Theoretical analysis indicates that the degraded system is controllable if and
only if the maximum lift of each rotor is greater than a certain value. The
simulation and experiment results on a prototype hexacopter show the
feasibility of our controllability analysis and degraded control strategy.


title:
Multilevel Threshold Based Gray Scale Image Segmentation using Cuckoo
  Search

abstract:
  Image Segmentation is a technique of partitioning the original image into
some distinct classes. Many possible solutions may be available for segmenting
an image into a certain number of classes, each one having different quality of
segmentation. In our proposed method, multilevel thresholding technique has
been used for image segmentation. A new approach of Cuckoo Search (CS) is used
for selection of optimal threshold value. In other words, the algorithm is used
to achieve the best solution from the initial random threshold values or
solutions and to evaluate the quality of a solution correlation function is
used. Finally, MSE and PSNR are measured to understand the segmentation
quality.


title: The coloring problem for classes with two small obstructions

abstract:
  The coloring problem is studied in the paper for graph classes defined by two
small forbidden induced subgraphs. We prove some sufficient conditions for
effective solvability of the problem in such classes. As their corollary we
determine the computational complexity for all sets of two connected forbidden
induced subgraphs with at most five vertices except 13 explicitly enumerated
cases


title:
One cannot hear the density of a drum (and further aspects of
  isospectrality)

abstract:
  It is well known that certain pairs of planar domains have the same spectra
of the Laplacian operator. We prove that these domains are still isospectral
for a wider class of physical problems, including the cases of heterogeneous
drums and of quantum billiards in an external field. In particular we show that
the isospectrality is preserved when the density or the potential are symmetric
under reflections along the folding lines of the domain. These results are also
confirmed numerically using the finite difference method: we find that the
pairs of numerical matrices obtained in the discretization are exactly
isospectral up to machine precision.


title:
Spin-1/2 XYZ model revisit: general solutions via off-diagonal Bethe
  ansatz

abstract:
  The spin-1/2 XYZ model with both periodic and anti-periodic boundary
conditions is studied via the off-diagonal Bethe ansatz method. The exact
spectra of the Hamiltonians and the Bethe ansatz equations are derived by
constructing the inhomogeneous T-Q relations, which allow us to treat both the
even N (the number of lattice sites) and odd N cases simultaneously in an
unified approach.

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


title:
Laser Ion Acceleration Toward Future Ion Beam Cancer Therapy - Numerical
  Simulation Sudy-

abstract:
  Ion beam has been used in cancer treatment, and has a unique preferable
feature to deposit its main energy inside a human body so that cancer cell
could be killed by the ion beam. However, conventional ion accelerator tends to
be huge in its size and its cost. In this paper a future intense-laser ion
accelerator is proposed to make the ion accelerator compact. An intense
femtosecond pulsed laser was employed to accelerate ions. The issues in the
laser ion accelerator include the energy efficiency from the laser to the ions,
the ion beam collimation, the ion energy spectrum control, the ion beam
bunching and the ion particle energy control. In the study particle computer
simulations were performed to solve the issues, and each component was designed
to control the ion beam quality. When an intense laser illuminates a target,
electrons in the target are accelerated and leave from the target; temporarily
a strong electric field is formed between the high-energy electrons and the
target ions, and the target ions are accelerated. The energy efficiency from
the laser to ions was improved by using a solid target with a fine
sub-wavelength structure or by a near-critical density gas plasma. The ion beam
collimation was realized by holes behind the solid target. The control of the
ion energy spectrum and the ion particle energy, and the ion beam bunching were
successfully realized by a multi-stage laser-target interaction. The present
study proposed a novel concept for a future compact laser ion accelerator,
based on each component study required to control the ion beam quality and
parameters.


title: Units in $FD_{2p^m}$

abstract:
  In this note, we compute the order and provide the structure of the unit
group $\mathcal{U}(FD_{2p^m})$ of the group algebra $FD_{2p^m}$, where $F$ is a
finite field of characteristic 2 and $D_{2p^m}$ is the dihedral group of order
$2p^m$ such that $p$ is an odd prime. Further, we obtain the structure of the
unitary subgroup $\mathcal{U}_*(FD_{2p^m})$ with respect to canonical
involution * and prove that it is a normal subgroup of the unit group
$\mathcal{U}(FD_{2p^m})$.


title: Is elastic scattering at the LHC absorptive or geometric?

abstract:
  We discuss the role of the impact--parameter dependent quantities. Their use
along with the available experimental data on elastic scattering at the LHC
could serve for an additional insight into the asymptotics.


title: The effectiveness of altruistic lobbying: A model study

abstract:
  Altruistic lobbying is lobbying in the public interest or in the interest of
the least protected part of the society. In fact, an altruist has a wide range
of strategies, from behaving in the interest of the society as a whole to the
support of the most disadvantaged ones. How can we compare the effectiveness of
such strategies? Another question is: "Given a strategy, is it possible to
estimate the optimal number of participants choosing it?" Finally, do the
answers to these questions depend on the level of well-being in the society?
Can we say that the poorer the society, the more important is to focus on the
support of the poorest? We answer these questions within the framework of the
model of social dynamics determined by voting in a stochastic environment.

categories: cs.MA cs.SI cs.SY math.OC physics.soc-ph


title: Globular cluster star classification: application to M13

abstract:
  Starting from recent determination of Fe, O, Na abundance on a restricted
sample (N=67) of halo and thick disk stars, a natural and well motivated
selection criterion is defined for the classification of globular cluster
stars. An application is performed to M13 using a sample (N=112) for which Fe,
O, Na abundance has been recently inferred from observations. A comparison is
made between current and earlier M13 star classification. Both O and Na
empirical differential abundance distributions are determined for each class
and the whole sample (with the addition of Fe in the last case) and compared
with their theoretical counterparts due to cosmic scatter obeying a Gaussian
distribution whose parameters are inferred from related subsamples. The
procedure is repeated with regard to four additional classes according if
oxygen and sodium abundance is above (stage CE) or below (stage AF) a selected
threshold. Both O and Na empirical differential abundance distributions,
related to the whole sample, exhibit a linear fit for AF and CE stage. Within
the errors, the oxygen slope for CE stage is equal and opposite in sign with
respect of the sodium slope for AF stage, while the contrary holds in dealing
with the oxygen slope for AF stage with respect to the sodium slope for CE
stage. In the light of simple models of chemical evolution applied to M13, the
O-Na anticorrelation and the primordial to current M13 mass ratio are
discussed. The proposed classification of globular cluster stars may be
extended in a twofold manner, namely to (i) elements other than Na and Fe and
(ii) globular clusters other than M13.


title: The basis for design of a DSP-based coincidence spectrometer

abstract:
  Coincidence technique and the coincidence measurement systems have been
developed and applied for over 40 years. Most of popular coincidence
measurement systems were based on analog electronics techniques such as time to
amplitude conversion (TAC) or logic selecting coincidence unit. The
above-mentioned systems are relatively cumbersome and complicated to use. With
the strong growth of digital electronics techniques and computational science,
the coincidence measurement systems will be constructed simpler but more
efficient with the sake of application. This article presents the design
principle and signal processing of a simple two-channel coincidence system by a
new technique called Digital Signal Processing (DSP) using Field Programmable
Gate Arrays (FPGA) devices at Nuclear Research Institute (NRI), Dalat.


title:
Weak solutions of the Hamilton-Jacobi equation for time periodic
  lagrangians

abstract:
  In this work we prove the existence of Fathi's weak KAM solutions for
periodic Lagrangians and give a construction of all of them.


title:
Efficient linear-scaling quantum transport calculations on graphics
  processing units and applications on electron transport in graphene

abstract:
  We implement, optimize, and validate the linear-scaling Kubo-Greenwood
quantum transport simulation on graphics processing units by examining resonant
scattering in graphene. We consider two practical representations of the
Kubo-Greenwood formula: a Green-Kubo formula based on the velocity
auto-correlation and an Einstein formula based on the mean square displacement.
The code is fully implemented on graphics processing units with a speedup
factor of up to 16 (using double-precision) relative to our CPU implementation.
We compare the kernel polynomial method and the Fourier transform method for
the approximation of the Dirac delta function and conclude that the former is
more efficient. In the ballistic regime, the Einstein formula can produce the
correct quantized conductance of one-dimensional graphene nanoribbons except
for an overshoot near the band edges. In the diffusive regime, the Green-Kubo
and the Einstein formalisms are demonstrated to be equivalent. A comparison of
the length-dependence of the conductance in the localization regime obtained by
the Einstein formula with that obtained by the non-equilibrium Green's function
method reveals the challenges in defining the length in the Kubo-Greenwood
formalism at the strongly localized regime.


title:
Annotation-Free Sequent Calculi for Full Intuitionistic Linear Logic --
  Extended Version

abstract:
  Full Intuitionistic Linear Logic (FILL) is multiplicative intuitionistic
linear logic extended with par. Its proof theory has been notoriously difficult
to get right, and existing sequent calculi all involve inference rules with
complex annotations to guarantee soundness and cut-elimination. We give a
simple and annotation-free display calculus for FILL which satisfies Belnap's
generic cut-elimination theorem. To do so, our display calculus actually
handles an extension of FILL, called Bi-Intuitionistic Linear Logic (BiILL),
with an `exclusion' connective defined via an adjunction with par. We refine
our display calculus for BiILL into a cut-free nested sequent calculus with
deep inference in which the explicit structural rules of the display calculus
become admissible. A separation property guarantees that proofs of FILL
formulae in the deep inference calculus contain no trace of exclusion. Each
such rule is sound for the semantics of FILL, thus our deep inference calculus
and display calculus are conservative over FILL. The deep inference calculus
also enjoys the subformula property and terminating backward proof search,
which gives the NP-completeness of BiILL and FILL.


title: New Calculations for Phase Space Factors Involved in Double Beta Decay

abstract:
  We present new results for the phase space factors involved in double beta
decay for beta-beta- transitions to ground states and excited 0+1 states, for
isotopes of experimental interest. The Coulomb distortion of the electron wave
functions is treated by solving numerically the Dirac equation with inclusion
of the finite nuclear size and electron screening effects, and using a Coulomb
potential derived from a realistic proton density distribution in the daughter
nucleus. Our results are compared with other results from literature, obtained
in different approximations, and possible causes that can give differences are
discussed.


title: H to Z gamma in Gauge-Higgs Unification

abstract:
  In our previous paper, we have investigated effects of a simple gauge-Higgs
unification model on the diphoton signal events from the Higgs boson production
at the Large Hadron Collider. We have found that in this model the effective
Higgs-to-diphoton coupling can be enhanced by 1-loop corrections with
Kaluza-Klein (KK) modes of bulk fields. This result can be an explanation for
the observed excess of the signal strength in the Higgs to diphoton decay
channel. In this paper, we investigate KK-mode effects on another Higgs boson
decay mode, H to Z gamma. One naturally expects that the KK modes also
contribute to the effective H-Z-gamma coupling and can cause some deviation for
the H to Z gamma decay mode from the Standard Model prediction. Revealing a
correlation between the KK-mode effects on the Higgs-to-diphoton and H-Z-gamma
couplings is an interesting topic in terms of a possibility to discriminate a
variety of models for physics beyond the Standard Model. We show a very
striking result for the gauge-Higgs unification model, namely, the absence of
KK-mode contributions to the H-Z-gamma coupling at the 1-loop level. This is a
very specific and general prediction of the gauge-Higgs unification scenario.


title:
Matrix representations of finitely generated Grassmann algebras and some
  consequences

abstract:
  We prove that the m-generated Grassmann algebra can be embedded into a
2^{m-1}x2^{m-1} matrix algebra over a factor of a commutative polynomial
algebra in m indeterminates. Cayley-Hamilton and standard identities for nxn
matrices over the m-generated Grassmann algebra are derived from this
embedding. Other related embedding results are also presented.


title:
A Direct Estimation of High Dimensional Stationary Vector
  Autoregressions

abstract:
  The vector autoregressive (VAR) model is a powerful tool in modeling complex
time series and has been exploited in many fields. However, fitting high
dimensional VAR model poses some unique challenges: On one hand, the
dimensionality, caused by modeling a large number of time series and higher
order autoregressive processes, is usually much higher than the time series
length; On the other hand, the temporal dependence structure in the VAR model
gives rise to extra theoretical challenges. In high dimensions, one popular
approach is to assume the transition matrix is sparse and fit the VAR model
using the "least squares" method with a lasso-type penalty. In this manuscript,
we propose an alternative way in estimating the VAR model. The main idea is,
via exploiting the temporal dependence structure, to formulate the estimating
problem into a linear program. There is instant advantage for the proposed
approach over the lasso-type estimators: The estimation equation can be
decomposed into multiple sub-equations and accordingly can be efficiently
solved in a parallel fashion. In addition, our method brings new theoretical
insights into the VAR model analysis. So far the theoretical results developed
in high dimensions (e.g., Song and Bickel (2011) and Kock and Callot (2012))
mainly pose assumptions on the design matrix of the formulated regression
problems. Such conditions are indirect about the transition matrices and not
transparent. In contrast, our results show that the operator norm of the
transition matrices plays an important role in estimation accuracy. We provide
explicit rates of convergence for both estimation and prediction. In addition,
we provide thorough experiments on both synthetic and real-world equity data to
show that there are empirical advantages of our method over the lasso-type
estimators in both parameter estimation and forecasting.


title:
Dust around R Coronae Borealis stars: II. Infrared emission features in
  a H-poor environment

abstract:
  Residual Spitzer/IRS spectra for a sample of 31 R Coronae Borealis (RCB)
stars are presented and discussed in terms of narrow emission features
superimposed on the quasi-blackbody continuous infrared emission. A broad ~6-10
um dust emission complex is seen in the RCBs showing an extreme H-deficiency. A
secondary and much weaker ~11.5-15 um broad emission feature is detected in a
few RCBs with the strongest ~6-10 um dust complex. The Spitzer infrared spectra
reveal for the first time the structure within the ~6-10 um dust complex,
showing the presence of strong C-C stretching modes at ~6.3 and 8.1 um as well
as of other dust features at ~5.9, 6.9, and 7.3 um, which are attributable to
amorphous carbonaceous solids with little or no hydrogen. The few RCBs with
only moderate H-deficiencies display the classical 'unidentified infrared bands
(UIRs)' and mid-infrared features from fullerene-related molecules. In general,
the characteristics of the RCB infrared emission features are not correlated
with the stellar and circumstellar properties, suggesting that the RCB dust
features may not be dependent on the present physical conditions around RCB
stars. The only exception seems to be the central wavelength of the 6.3 um
feature, which is blue-shifted in those RCBs showing also the UIRs, i.e., the
RCBs with the smallest H deficiency.


title: A new light on the breaking of uniaxial symmetry in nematics

abstract:
  Within the Landau-de Gennes theory of liquid crystals, we study theoretically
the equilibrium configurations with uniaxial symmetry. For an arbitrary form of
the bulk energy density, we show that energy minimizers among uniaxially
symmetric configurations are usually not equilibrium configurations. It was
known before that uniaxiality can sometimes be broken by energy minimizers. We
prove here that this is always the case in one or two dimensions. Even more we
prove that equilibrium configurations (not only minimizers) cannot be uniaxial
in one or two dimensions (unless they are constant). Namely, uniaxial
equilibrium configurations with at least one translational invariance direction
must have a uniform director field. In the case of a hybrid nematic cell, or of
a capillary with radial anchoring, our result implies that biaxial escape
always occurs, and that it does so not only in the core of a defect: uniaxial
order is destroyed in the whole cell.


title: Delayed feedback control of self-mobile cavity solitons

abstract:
  Control of the motion of cavity solitons is one the central problems in
nonlinear optical pattern formation. We report on the impact of the phase of
the time-delayed optical feedback and carrier lifetime on the self-mobility of
localized structures of light in broad area semiconductor cavities. We show
both analytically and numerically that the feedback phase strongly affects the
drift instability threshold as well as the velocity of cavity soliton motion
above this threshold. In addition we demonstrate that non-instantaneous carrier
response in the semiconductor medium is responsible for the increase in
critical feedback rate corresponding to the drift instability.


title:
Timing Observations of 27 Pulsars at the Pushchino Observatory from 1978
  to 2012

abstract:
  We present results from timing observations of 27 pulsars made at the
Pushchino Observatory over 33.5 yr between 1978 July and 2012 February. We also
analyze archival Jet Propulsion Laboratory data of 10 pulsars to extend
individual data span to 43.5 yr. We detected a new phenomenon in the timing
behavior of two pulsars, B0823+26 and B1929+10, that demonstrates a rapid
change of pulsar rotation parameters such that the sign of the second
derivative $\ddot\nu$ is reversed. An analysis of the $\ddot\nu$ changes showed
that this process can be considered as a modulation process in $\ddot\nu$. We
showed that the process of rapidly changing of pulsar rotation parameters
represents a new type of rotational irregularity that, together with three
other types of rotational irregularities (discrete glitches, slow glitches and
quasi-periodic oscillations), forms a large-scale structure of timing noise.
These effects are all the cause of the deviation of the timing behavior of most
ordinary pulsars from a simple $\nu,\,\dot\nu$ spin-down model. We found that
all four types of observed rotational irregularities have evolving nature.
Irregularities in pulsar rotation rate pass through three evolutional stages
that show that a certain type of rotational irregularity can occur only at a
certain stage of pulsar rotation evolution. The age boundaries between
different evolutionary stages are indistinct and diffusive. This fact is
because different pulsars having similar properties evolve along different
paths. The evolutionary scenario of the occurrence of rotational irregularities
explains well many of the observed properties of pulsar rotation.


title: Modeling the elastic differential cross-section at LHC

abstract:
  An empirical model for the $pp$ elastic differential cross section is
proposed. Inspired by early work by Barger and Phillips, we parametrize the
scattering amplitude in building blocks, comprising of two exponentials with a
relative phase, supplementing the dominant term at small $-t$ with the proton
form factor. This model suitably applies to LHC7 and ISR data, enabling to make
simple predictions for higher LHC energies and to check whether asymptotia
might be achieved.


title:
Equation of State for Nucleonic Matter and its Quark Mass Dependence
  from the Nuclear Force in Lattice QCD

abstract:
  Quark mass dependence of the equation of state (EOS) for nucleonic matter is
investigated, on the basis of the Brueckner-Hartree-Fock method with the
nucleon-nucleon interaction extracted from lattice QCD simulations. We observe
saturation of nuclear matter at the lightest available quark mass corresponding
to the pseudoscalar meson mass ~ 469 MeV. Mass-radius relation of the neutron
stars is also studied with the EOS for neutron-star matter from the same
nuclear force in lattice QCD. We observe that the EOS becomes stiffer and thus
the maximum mass of neutron star increases as the quark mass decreases toward
the physical point.


title:
A few remarks on Euler and Bernoulli polynomials and their connections
  with binomial coefficients and modified Pascal matrices

abstract:
  We prove certain identities involving Euler and Bernoulli polynomials that
can be treated as recurrences. We use these and also other known identities to
indicate connection of Euler and Bernoulli numbers with entries of inverses of
certain lower triangular built of binomial coefficients. Another words we
interpret Euler and Bernoulli numbers in terms of modified Pascal matrices.


title: Air transparent soundproof window

abstract:
  A soundproof window or wall which is transparent to airflow is presented. The
design is based on two wave theories of diffraction and acoustic metamaterials.
It consists of a three-dimensional array of strong diffraction-type resonators
with many holes centered at each individual resonator. The acoustic performance
levels of two soundproof windows with air holes of $20mm$ and $50mm$ diameters
were measured. Sound waves of 80dB in the frequency range of $400 - 5,000Hz$
were applied to the windows. It was observed that the sound level was reduced
by about $30 - 35$dB in the above frequency range with the $20mm$ window and by
about $20 - 35$dB in the frequency range of $700 - 2,200Hz$ with the $50mm$
window.
  It is an extraordinary acoustic anti-transmission. The geometric factors
which produced the effective negative modulus were obtained.


title:
Magnetic and transport parameters of LSMO and YBCO/LSMO films deposited
  on sapphire substrates

abstract:
  The La0.7Sr0.3MnO3 (LSMO) layers and YBa2Cu3O7-{\delta}/La0.7Sr0.3MnO3
(YBCO/LSMO) bilayers were grown by magnetron sputtering on sapphire (Al2O3 or
ALO) substrates. Temperature dependences of resistance of single LSMO films,
grown on ALO substrates were typical for polycrystalline manganite materials
and the resistance decreased with decrease of the temperature at medium
temperatures and increased at lower and higher temperatures. Deposition of a
top YBCO layer led to a drastic increase of the sample resistance. These
bilayers did not demonstrate a decreasing of the resistance with decrease of
temperature. Temperature dependence of the resistance of these samples was
interpreted in the framework of a phenomenological model of two intergrain
conduction channels. In framework of this model, parameters of the samples were
determined and discussed.


title:
Transition between mechanisms of laser-induced field-free molecular
  orientation

abstract:
  The transition between two distinct mechanisms for the laser-induced
field-free orientation of CO molecules is observed via measurements of
orientation revival times and subsequent comparison to theoretical
calculations. In the first mechanism, which we find responsible for the
orientation of CO up to peak intensities of 8 x 10^13 W/cm^2, the molecules are
impulsively oriented through the hyperpolarizability interaction. At higher
intensities, asymmetric depletion through orientation-selective ionization is
the dominant orienting mechanism. In addition to the clear identification of
the two regimes of orientation, we propose that careful measurements of the
onset of the orientation depletion mechanism as a function of the laser
intensity will provide a relatively simple route to calibrate absolute rates of
non-perturbative strong-field molecular ionization.


title:
Search for muon neutrinos from gamma-ray bursts with the ANTARES
  neutrino telescope using 2008 to 2011 data

abstract:
  A search for muon neutrinos in coincidence with gamma-ray bursts with the
ANTARES neutrino detector using data from the end of 2007 to 2011 is performed.
Expected neutrino fluxes are calculated for each burst individually. The most
recent numerical calculations of the spectra using the NeuCosmA code are
employed, which include Monte Carlo simulations of the full underlying
photohadronic interaction processes. The discovery probability for a selection
of 296 gamma-ray bursts in the given period is optimised using an extended
maximum-likelihood strategy. No significant excess over background is found in
the data, and 90% confidence level upper limits are placed on the total
expected flux according to the model.


title: Dynamic Image-Based Modelling of Kidney Branching Morphogenesis

abstract:
  Kidney branching morphogenesis has been studied extensively, but the
mechanism that defines the branch points is still elusive. Here we obtained a
2D movie of kidney branching morphogenesis in culture to test different models
of branching morphogenesis with physiological growth dynamics. We carried out
image segmentation and calculated the displacement fields between the frames.
The models were subsequently solved on the 2D domain, that was extracted from
the movie. We find that Turing patterns are sensitive to the initial conditions
when solved on the epithelial shapes. A previously proposed diffusion-dependent
geometry effect allowed us to reproduce the growth fields reasonably well, both
for an inhibitor of branching that was produced in the epithelium, and for an
inducer of branching that was produced in the mesenchyme. The latter could be
represented by Glial-derived neurotrophic factor (GDNF), which is expressed in
the mesenchyme and induces outgrowth of ureteric branches. Considering that the
Turing model represents the interaction between the GDNF and its receptor RET
very well and that the model reproduces the relevant expression patterns in
developing wildtype and mutant kidneys, it is well possible that a combination
of the Turing mechanism and the geometry effect control branching
morphogenesis.


title:
Hyperbolic deformation of the strip-equation and the accessory
  parameters for the torus

abstract:
  By applying an hyperbolic deformation to the uniformization problem for the
infinite strip, we give a method for computing the accessory parameter for the
torus with one source as an expansion in the modular parameter q. At O(q^0) we
obtain the same equation for the accessory parameter and the same value of the
semiclassical action as the one obtained from the b -> 0 limit of the quantum
one point function. The procedure can be carried over to the full O(q^2) or
even higher order corrections although the procedure becomes somewhat
complicated. Here we compute to order q^2 the correction to the weight
parameter intervening in the conformal factor and it is shown that the unwanted
contribution O(q) to the accessory parameter equation cancel exactly.


title: Tight Chromatic Upper Bound for {3K1, C5}-free Graphs

abstract:
  Problem of finding an optimal upper bound for a chromatic no. of 3K1-free
graphs is still open and pretty hard. Here we find a tight chromatic upper
bound for {3K1, C5}-free graphs. We prove that if G is {3K1, C5}-free, then the
chromatic no. <= (3{\omega}-1)/2 where {\omega} is the size of a maximum clique
in G and show with examples that the bound is tight.


title: Type-I cosmic string network

abstract:
  We study the network of Type-I cosmic strings using the field-theoretic
numerical simulations in the Abelian-Higgs model. For Type-I strings, the gauge
field plays an important role, and thus we find that the correlation length of
the strings is strongly dependent upon the parameter \beta, the ratio between
the self-coupling constant of the scalar field and the gauge coupling constant,
namely, \beta=\lambda/2e^2. In particular, if we take the cosmic expansion into
account, the network becomes densest in the comoving box for a specific value
of \beta for \beta<1.


title:
The Social Media Genome: Modeling Individual Topic-Specific Behavior in
  Social Media

abstract:
  Information propagation in social media depends not only on the static
follower structure but also on the topic-specific user behavior. Hence novel
models incorporating dynamic user behavior are needed. To this end, we propose
a model for individual social media users, termed a genotype. The genotype is a
per-topic summary of a user's interest, activity and susceptibility to adopt
new information. We demonstrate that user genotypes remain invariant within a
topic by adopting them for classification of new information spread in
large-scale real networks. Furthermore, we extract topic-specific influence
backbone structures based on information adoption and show that they differ
significantly from the static follower network. When employed for influence
prediction of new content spread, our genotype model and influence backbones
enable more than $20% improvement, compared to purely structural features. We
also demonstrate that knowledge of user genotypes and influence backbones allow
for the design of effective strategies for latency minimization of
topic-specific information spread.


title:
Analytical solution for the diffraction of an electromagnetic wave by a
  graphene grating

abstract:
  An analytical method for diffraction of a plane electromagnetic wave at
periodically-modulated graphene sheet is presented. Both interface corrugation
and periodical change in the optical conductivity are considered. Explicit
expressions for reflection, transmission, absorption and transformation
coefficients in arbitrary diffraction orders are presented. The dispersion
relation and decay rates for graphene plasmons of the grating are found. Simple
analytical expressions for the value of the band gap in the vicinity of the
first Brillouin zone edge is derived. The optimal amplitude and wavelength,
guaranteeing the best matching of the incident light with graphene plasmons are
found for the conductivity grating. The analytical results are in a good
agreement with first-principle numeric simulations.


title: Block entropy for Kitaev-type spin chains in a transverse field

abstract:
  Block entanglement entropy in the ground state of a quantum spin chain is
investigated. The spins have Kitaev-type nearest-neighbor interaction, of
strength J_x or J_y, through either x or y components of the spins on
alternating bonds, along with a transverse magnetic field h. An exact solution
is obtained through Jordan-Wigner fermionization, and it exhibits a
macroscopically degenerate ground state for h=0, and a non-degenerate ground
state for nonzero h and for all interaction strengths. For a chain of N spins,
we study the block entropy of a partition of L contiguous spins. The block
entanglement entropy needs the eigenvalues of the 2^L-dimensional reduced
density matrix. We employ an efficient method that reduces this problem to
evaluating eigenvalues of a L-dimensional matrix, which enables us to calculate
easily the block entanglement for large-N chains numerically. The entanglement
entropy grows as log L, at the degeneracy point h=0, and only for J_x=J_y. For
nonzero magnetic field, the entropy becomes independent of the size, thus
obeying the area law. For unequal J_x and J_y, the block entropy shows a
non-monotonic behavior for L<N/2.


title: Proposal of the Readout Electronics for the WCDA in LHAASO Experiment

abstract:
  The LHAASO (Large High Altitude Air Shower Observatory) experiment is
proposed for very high energy gamma ray source survey, in which the WCDA (Water
Cherenkov Detector Array) is the one of the major components. In the WCDA, a
total of 3600 PMTs are placed under water in four ponds, each with a size of
150 m x 150 m. Precise time and charge measurement is required for the PMT
signals, over a large signal amplitude range from single P.E. (photo electron)
to 4000 P.E. To fulfill the high requirement of signal measurement in so many
front end nodes scattered in a large area, special techniques are developed,
such as multiple gain readout, hybrid transmission of clocks, commands, and
data, precise clock phase alignment, and new trigger electronics. We present
the readout electronics architecture for the WCDA and several prototype
modules, which are now under test in the laboratory.


title: On the convergence of the quadratic method

abstract:
  The convergence of the so-called quadratic method for computing eigenvalue
enclosures of general self-adjoint operators is examined. Explicit asymptotic
bounds for convergence to isolated eigenvalues are found. These bounds turn out
to improve significantly upon those determined in previous investigations. The
theory is illustrated by means of several numerical experiments performed on
particularly simple benchmark models of one-dimensional Schrodinger operators.


title:
KIC 8410637: a 408-day period eclipsing binary containing a pulsating
  red giant

abstract:
  Detached eclipsing binaries (dEBs) are ideal targets for accurate measurement
of masses and radii of ther component stars. If at least one of the stars has
evolved off the main sequence (MS), the masses and radii give a strict
constraint on the age of the stars. Several dEBs containing a bright K giant
and a fainter MS star have been discovered by the Kepler satellite. The mass
and radius of a red giant (RG) star can also be derived from its asteroseismic
signal. The parameters determined in this way depend on stellar models and may
contain systematic errors. It is important to validate the asteroseismically
determined mass and radius with independent methods. This can be done when
stars are members of stellar clusters or members of dEBs. KIC 8410637 consists
of an RG and an MS star. The aim is to derive accurate masses and radii for
both components and provide the foundation for a strong test of the
asteroseismic method and the accuracy of the deduced mass, radius and age. We
analyse high-resolution spectra from three different spectrographs. We also
calculate a fit to the Kepler light curve and use ground-based photometry to
determine the flux ratios between the component stars in the BVRI passbands. We
measured the masses and radii of the stars in the dEB, and the classical
parameters Teff, log g and [Fe/H] from the spectra and ground-based photometry.
The RG component of KIC 8410637 is most likely in the core helium-burning red
clump phase of evolution and has an age and composition very similar to the
stars in the open cluster NGC 6819. The mass of the RG in KIC 8410637 should
therefore be similar to the mass of RGs in NGC 6819, thus lending support to
the most up-to-date version of the asteroseismic scaling relations. This is the
first direct measurement of both mass and radius for an RG to be compared with
values for RGs from asteroseismic scaling relations.


title:
First-principles study of the lattice dynamical properties of strontium
  ruthenate

abstract:
  By means of first-principles calculations, various properties of SrRuO3 are
investigated, focusing on its lattice dynamical properties. Despite having a
Goldschmidt tolerance factor very close to 1, the phonon dispersion curves of
the high-temperature cubic phase of SrRuO3 show strong antiferrodistortive
instabilities. The energetics of metastable phases with different tilt patterns
are discussed, concluding that the coupling of oxygen-rotation modes with
anti-polar Sr motion plays a key role in stabilizing the Pnma phase with
respect to alternative rotation patterns. This not only explains the ground
state of SrRuO3 but also contributes to rationalize why most ABO3 perovskites
exhibit an orthorhombic ground state. The zone-center phonon modes of the Pnma
phase have been computed, from which we propose partial reassignment of
available experimental data. The full dispersion curves have also been
obtained, constituting benchmark results for the interpretation of future
measurements and providing access to thermodynamical properties.


title:
Static cylindrically symmetric dyonic wormholes in the 6-dimensional
  Kaluza--Klein theory: Exact solutions

abstract:
  We study cylindrically symmetric Abelian wormholes (WhC) in
$(4+n)$-dimensional Kaluza-Klein theory. It is shown that static,
four-dimensional, cylindrically symmetric solutions in $(4+n)$-dimensional
Kaluza-Klein theory with maximal Abelian isometry group $U(1)^n$ of the
internal space with diagonal internal metric can be obtained, as in the case of
a supersymmetric static black hole \cite{Cv}, only if the isometry group of the
internal space is broken down to the $U (1)_e \times U(1)_m$ gauge group; they
correspond to dyonic configurations with one electric $(Q_e)$ and one magnetic
$(Q_m)$ charge that are related either to the same $U(1)_e$ or $U(1)_m$ gauge
field or to different factors of the $U (1)_e \times U(1)_m$ gauge group of the
effective 6-dimensional Kaluza-Klein theory. We find new exact solutions of the
6-dimensional Kaluza--Klein theory with two Abelian gauge fields, dilaton and
scalar fields, associated with the internal metric. We obtain new types of
cylindrically symmetric wormholes supported by the radial and longitudinal
electric and magnetic fields.


title: Algorithms of the LDA model [REPORT]

abstract:
  We review three algorithms for Latent Dirichlet Allocation (LDA). Two of them
are variational inference algorithms: Variational Bayesian inference and Online
Variational Bayesian inference and one is Markov Chain Monte Carlo (MCMC)
algorithm -- Collapsed Gibbs sampling. We compare their time complexity and
performance. We find that online variational Bayesian inference is the fastest
algorithm and still returns reasonably good results.


title: SUSY after LHC8: a brief overview

abstract:
  With the 8 TeV LHC run now concluded, the first consequences of the
experimental results on the supersymmetric parameter space can be drawn. On one
hand, the negative direct searches place more and more stringent bounds on the
mass of supersymmetric particles; on the other hand, the discovery of a 125 GeV
Higgs boson points toward a quite heavy spectrum for the squarks of the third
generation, at least in the minimal supersymmetric model. In this note I will
briefly recap how this constitutes a problem for the naturalness of
supersymmetric models, as well as the current experimental situation. Moreover,
I will point out possible non minimal models in which the naturalness issue can
be at least soften.


title:
Correlation functions, universal ratios and Goldstone mode singularities
  in n-vector models

abstract:
  Correlation functions in the O(n) models below the critical temperature are
considered. Based on Monte Carlo (MC) data, we confirm the fact stated earlier
by Engels and Vogt, that the transverse two-plane correlation function of the
O(4) model for lattice sizes about L=120 and small external fields h is very
well described by a Gaussian approximation. However, we show that fits of not
lower quality are provided by certain non-Gaussian approximation. We have also
tested larger lattice sizes, up to L=512. The Fourier-transformed transverse
and longitudinal two-point correlation functions have Goldstone mode
singularities in the thermodynamic limit at k --> 0 and h=+0, i.e., G_perp(k) =
a k^{-lambda_perp} and G_parallel(k) = b k^{-lambda_parallel}, respectively.
Here a and b are the amplitudes, k is the magnitude of the wave vector. The
exponents lambda_perp, lambda_parallel and the ratio b M^2/a^2, where M is the
spontaneous magnetization, are universal according to the GFD (grouping of
Feynman diagrams) approach. Here we find that the universality follows also
from the standard (Gaussian) theory, yielding b M^2/a^2 = (n-1)/16. Our MC
estimates of this ratio are 0.06 +/- 0.01 for n=2, 0.17 +/- 0.01 for n=4 and
0.498 +/- 0.010 for n=10. According to these and our earlier MC results, the
asymptotic behavior and Goldstone mode singularities are not exactly described
by the standard theory. This is expected from the GFD theory. We have found
appropriate analytic approximations for G_perp(k) and G_parallel(k), well
fitting the simulation data for small k. We have used them to test the
Patashinski--Pokrovski relation and have found that it holds approximately.


title: BigDataBench: a Big Data Benchmark Suite from Web Search Engines

abstract:
  This paper presents our joint research efforts on big data benchmarking with
several industrial partners. Considering the complexity, diversity, workload
churns, and rapid evolution of big data systems, we take an incremental
approach in big data benchmarking. For the first step, we pay attention to
search engines, which are the most important domain in Internet services in
terms of the number of page views and daily visitors. However, search engine
service providers treat data, applications, and web access logs as business
confidentiality, which prevents us from building benchmarks. To overcome those
difficulties, with several industry partners, we widely investigated the open
source solutions in search engines, and obtained the permission of using
anonymous Web access logs. Moreover, with two years' great efforts, we created
a sematic search engine named ProfSearch (available from
http://prof.ict.ac.cn). These efforts pave the path for our big data benchmark
suite from search engines---BigDataBench, which is released on the web page
(http://prof.ict.ac.cn/BigDataBench). We report our detailed analysis of search
engine workloads, and present our benchmarking methodology. An innovative data
generation methodology and tool are proposed to generate scalable volumes of
big data from a small seed of real data, preserving semantics and locality of
data. Also, we preliminarily report two case studies using BigDataBench for
both system and architecture researches.


title:
Solutions of the vacuum Einstein equations with initial data on past
  null infinity

abstract:
  We prove existence of vacuum space-times with freely prescribable cone-smooth
initial data on past null infinity.


title: Factorization homology and calculus \`a la Kontsevich Soibelman

abstract:
  Using factorization homology techniques, we give a simple proof of the action
of Kontsevich and Soibelman operad on the pair consisting of Hochschild
cohomology and Hochschild homology. The proof obviously extends to higher
Hochschild cohomology and factorization (also called chiral) homology. Note
that our result works in categories of chain complexes but also in categories
of modules over a commutative ring spectrum.


title:
Dimensionality Detection and Integration of Multiple Data Sources via
  the GP-LVM

abstract:
  The Gaussian Process Latent Variable Model (GP-LVM) is a non-linear
probabilistic method of embedding a high dimensional dataset in terms low
dimensional `latent' variables. In this paper we illustrate that maximum a
posteriori (MAP) estimation of the latent variables and hyperparameters can be
used for model selection and hence we can determine the optimal number or
latent variables and the most appropriate model. This is an alternative to the
variational approaches developed recently and may be useful when we want to use
a non-Gaussian prior or kernel functions that don't have automatic relevance
determination (ARD) parameters. Using a second order expansion of the latent
variable posterior we can marginalise the latent variables and obtain an
estimate for the hyperparameter posterior. Secondly, we use the GP-LVM to
integrate multiple data sources by simultaneously embedding them in terms of
common latent variables. We present results from synthetic data to illustrate
the successful detection and retrieval of low dimensional structure from high
dimensional data. We demonstrate that the integration of multiple data sources
leads to more robust performance. Finally, we show that when the data are used
for binary classification tasks we can attain a significant gain in prediction
accuracy when the low dimensional representation is used.


title:
Measurement of the energy spectrum of cosmic rays at the highest
  energies using data from Pierre Auger Observatory

abstract:
  We report a measurement of the flux of cosmic rays with unprecedented
precision and statistics using data from the Pierre Auger Observatory. Based on
fluorescence observations in coincidence with at least one station of the
surface detector we derive a spectrum for energies above 1 EeV. We also report
on the energy spectra obtained with the surface detector array. The spectral
features are presented in detail and the impact of systematic uncertainties on
these features are addressed.


title:
Doping-Dependent Raman Resonance in the Model High-Temperature
  Superconductor HgBa2CuO4+d

abstract:
  We study the model high-temperature superconductor HgBa2CuO4+d with
electronic Raman scattering and optical ellipsometry over a wide doping range.
The resonant Raman condition which enhances the scattering cross section of
"two-magnon" excitations is found to change strongly with doping, and it
corresponds to a rearrangement of inter-band optical transitions in the 1-3 eV
range seen by ellipsometry. This unexpected change of the resonance condition
allows us to reconcile the apparent discrepancy between Raman and x-ray
detection of magnetic fluctuations in superconducting cuprates. Intriguingly,
the strongest variation occurs across the doping level where the antinodal
superconducting gap reaches its maximum.


title:
Spectral Clustering on Subspace for Parameter Estimation of Jump Linear
  Models

abstract:
  The problem of estimating parameters of a deterministic jump or piecewise
linear model is considered. A subspace technique referred to as spectral
clustering on subspace (SCS) algorithm is proposed to estimate a set of linear
model parameters, the model input, and the set of switching epochs. The SCS
algorithm exploits a block diagonal structure of the system input subspace,
which partitions the observation space into separate subspaces, each
corresponding to one and only one linear submodel. A spectral clustering
technique is used to label the noisy observations for each submodel, which
generates estimates of switching time epoches. A total least squares technique
is used to estimate model parameters and the model input. It is shown that, in
the absence of observation noise, the SCS algorithm provides exact parameter
identification. At high signal to noise ratios, SCS attains a clairvoyant
Cram\'{e}r-Rao bound computed by assuming the labeling of observation samples
is perfect.


title:
Investigation of Unique Total Ionizing Dose Effects in 0.2 um
  Partially-Depleted Silicon-on-Insulator Technology

abstract:
  The total ionizing dose irradiation (TID) effects of partially depleted (PD)
silicon-on-insulator (SOI)devices which fabricated with a commercial 0.2 um SOI
process are investigated. Experimental results show an original phenomenon that
the ON irradiation bias configuration is the worst-case bias for both
front-gate and back-gate transistor. To understand the mechanism, a charge
distribution model is proposed. We think that the performance degradation of
the devices is due to the radiation induced positive charge trapped in the
bottom corner of shallow trench isolation (STI) oxide. In addition, comparing
the irradiation responses of short and long channel devices under different
drain bias, the short channel transistors show a larger degeneration of leakage
current and threshold voltage. The dipole theory is introduced to explain the
TID enhanced short channel effect.


title: Parallelized Quantum Monte Carlo Algorithm with Nonlocal Worm Updates

abstract:
  Based on the worm algorithm in the path-integral representation, we propose a
general quantum Monte Carlo algorithm suitable for parallelizing on a
distributed-memory computer by domain decomposition. Of particular importance
is its application to large lattice systems of bosons and spins. A large number
of worms are introduced and its population is controlled by a fictitious
transverse field. For a benchmark, we study the size-dependence of the
Bose-condensation order parameter of the hardcore Bose-Hubbard model with
$L\times L\times \beta t = 10240\times 10240\times 16$, using 3200 computing
cores, which shows good parallelization efficiency.


title: Borodin-Okounkov and Szeg\"o for Toeplitz operators on model spaces

abstract:
  We consider the determinants of compressions of Toeplitz operators to
finite-dimensional model spaces and establish analogues of the Borodin-Okounkov
formula and the strong Szeg\"o limit theorem in this setting.


title: Quartic Quasi-topological Gravity, Black Holes and Holography

abstract:
  In this paper, we derive the field equations of quartic quasi-topological
gravity by varying the action with respect to the metric. Also, we obtain the
linearized graviton equations in the AdS background and find that it is
governed by a second-order field equation as in the cases of Einstein, Lovelock
or cubic quasi-topological gravities. But in contrast to the cubic
quasi-topological gravity, the linearized field equation around a black hole
has fourth-order radial derivative of the perturbation. Moreover, we analyze
the conditions of having ghost free AdS solutions and AdS planar black holes.
In addition, we compute the central charges of the dual conformal field theory
of this gravity theory by studying holographic Weyl anomaly. Finally, we
consider the effect of quartic term on the causality of dual theory in the
tensor channel and show that, in the contrast to the trivial result of cubic
quasi-topological gravity, the existence of both cubic and quartic terms leads
to a non-trivial constraint. However, this constraint does not imply any lower
positive bound on the viscosity/entropy ratio.


title:
Strong c-algebrability of strong Sierpi\'nski-Zygmund, smooth nowhere
  analytic and other sets of functions

abstract:
  We present a useful technique of proving strong $\mathfrak{c}$-algebrability.
As an outcome we obtain the strong $\mathfrak{c}$-algebrability of the
following sets of functions: strong Sierpi\'nski-Zygmund, nowhere H\"older,
Bruckner-Garg, nowhere monotone differentiable, a certain Baire class, smooth
and nowhere analytic functions.


title: Shapley Meets Shapley

abstract:
  This paper concerns the analysis of the Shapley value in matching games.
Matching games constitute a fundamental class of cooperative games which help
understand and model auctions and assignments. In a matching game, the value of
a coalition of vertices is the weight of the maximum size matching in the
subgraph induced by the coalition. The Shapley value is one of the most
important solution concepts in cooperative game theory.
  After establishing some general insights, we show that the Shapley value of
matching games can be computed in polynomial time for some special cases:
graphs with maximum degree two, and graphs that have a small modular
decomposition into cliques or cocliques (complete k-partite graphs are a
notable special case of this). The latter result extends to various other
well-known classes of graph-based cooperative games.
  We continue by showing that computing the Shapley value of unweighted
matching games is #P-complete in general. Finally, a fully polynomial-time
randomized approximation scheme (FPRAS) is presented. This FPRAS can be
considered the best positive result conceivable, in view of the #P-completeness
result.


title: Equivariant hyperbolic diffeomorphisms and representation coverings

abstract:
  Let G be a compact Lie group and X be a compact smooth G-manifold with
finitely many G-fixed points. We show that if X admits a G-equivariant
hyperbolic diffeomorphism having a certain convergence property, there exists
an open covering of X indexed by the G-fixed points so that each open set is
G-stable and G-equivariantly diffeomorphic to the tangential G-representation
at the corresponding G-fixed point. We also show that the converse is also true
in case of holomorphic torus actions


title:
Embedded techniques for choosing the parameter in Tikhonov
  regularization

abstract:
  This paper introduces a new strategy for setting the regularization parameter
when solving large-scale discrete ill-posed linear problems by means of the
Arnoldi-Tikhonov method. This new rule is essentially based on the discrepancy
principle, although no initial knowledge of the norm of the error that affects
the right-hand side is assumed; an increasingly more accurate approximation of
this quantity is recovered during the Arnoldi algorithm. Some theoretical
estimates are derived in order to motivate our approach. Many numerical
experiments, performed on classical test problems as well as image deblurring
are presented.


title:
Herschel observations of the Sgr B2 cores: Hydrides, warm CO, and cold
  dust

abstract:
  Sagittarius B2 (Sgr B2) is one of the most massive and luminous star-forming
regions in the Galaxy and shows chemical and physical conditions similar to
those in distant extragalactic starbursts. We present large-scale far-IR/submm
photometric images and spectroscopic maps taken with the PACS and SPIRE
instruments onboard Herschel. The spectra towards the Sgr B2 star-forming
cores, B2(M) and B2(N), are characterized by strong CO line emission, emission
lines from high-density tracers (HCN, HCO+, and H2S), [N II] 205 um emission
from ionized gas, and absorption lines from hydride molecules (OH+, H2O+, H2O,
CH+, CH, SH+, HF, NH, NH2, and NH3). The rotational population diagrams of CO
suggest the presence of two gas temperature components: an extended warm
component, which is associated with the extended envelope, and a hotter
component, which is seen towards the B2(M) and B2(N) cores. As observed in
other Galactic Center clouds, the gas temperatures are significantly higher
than the dust temperatures inferred from photometric images. We determined
far-IR and total dust masses in the cores. Non-local thermodynamic equilibrium
models of the CO excitation were used to constrain the averaged gas density in
the cores. A uniform luminosity ratio is measured along the extended envelope,
suggesting that the same mechanism dominates the heating of the molecular gas
at large scales. The detection of high-density molecular tracers and of strong
[N II] 205 um line emission towards the cores suggests that their morphology
must be clumpy to allow UV radiation to escape from the inner HII regions.
Together with shocks, the strong UV radiation field is likely responsible for
the heating of the hot CO component. At larger scales, photodissociation
regions models can explain both the observed CO line ratios and the uniform
L(CO)/LFIR luminosity ratios.


title:
Estimation of first passage time densities of diffusions processess
  through time-varying boundaries

abstract:
  In this paper, we develop a Monte Carlo based algorithm for estimating the
FPT density of a time-homogeneous SDE through a time-dependent frontier. We
consider Brownian bridges as well as localized Daniels curve approximations to
obtain tractable estimations of the FPT probability between successive points
of a simulated path of the process. Under mild assumptions, a (unique) Daniels
curve local approximation can easily be obtained by explicitly solving a
non-linear system of equations.


title: Demography-adjusted tests of neutrality based on genome-wide SNP data

abstract:
  Tests of the neutral evolution hypothesis are usually built on the standard
null model which assumes that mutations are neutral and population size remains
constant over time. However, it is unclear how such tests are affected if the
last assumption is dropped. Here, we extend the unifying framework for tests
based on the site frequency spectrum, introduced by Achaz and Ferretti, to
populations of varying size. A key ingredient is to specify the first two
moments of the frequency spectrum. We show that these moments can be determined
analytically if a population has experienced two instantaneous size changes in
the past. We apply our method to data from ten human populations gathered in
the 1000 genomes project, estimate their demographies and define
demography-adjusted versions of Tajima's $D$, Fay & Wu's $H$, and Zeng's $E$.
The adjusted test statistics facilitate the direct comparison between
populations and they show that most of the differences among populations seen
in the original tests can be explained by demography. We carried out whole
genome screens for deviation from neutrality and identified candidate regions
of recent positive selection. We provide track files with values of the
adjusted and original tests for upload to the UCSC genome browser.