title:
Polarization selection rules for inter-Landau level transitions in
  epitaxial graphene revealed by infrared optical Hall effect

abstract:
  We report on polarization selection rules of inter-Landau level transitions
using reflection-type optical Hall effect measurements from 600 to 4000 cm-1 on
epitaxial graphene grown by thermal decomposition of silicon carbide. We
observe symmetric and anti-symmetric signatures in our data due to polarization
preserving and polarization mixing inter-Landau level transitions,
respectively. From field-dependent measurements we identify that transitions in
decoupled graphene mono-layers are governed by polarization mixing selection
rules, whereas transitions in coupled graphene mono-layers are governed by
polarization preserving selection rules. The selection rules may find
explanation by different coupling mechanisms of inter-Landau level transitions
with free charge carrier magneto-optic plasma oscillations.


title:
Optimization Approach to Parametric Tuning of Power System Stabilizer
  Based on Trajectory Sensitivity Analysis

abstract:
  This paper proposed an transient-based optimal parametric tuning method for
power system stabilizer (PSS) based on trajectory sensitivity (TS) analysis of
hybrid system, such as hybrid power system (HPS). The main objective is to
explore a systematic optimization approach of PSS under large disturbance of
HPS, where its nonlinear features cannot be ignored, which, however, the
traditional eigenvalue-based small signal optimizations do neglect the higher
order terms of Taylor series of the system state equations. In contrast to
previous work, the proposed TS optimal method focuses on the gradient
information of objective function with respect to decision variables by means
of the trajectory sensitivity of HPS to the PSS parameters, and optimizes the
PSS parameters in terms of the conjugate gradient method. Firstly, the
traditional parametric tuning methods of PSS are introduced. Then, the
systematic mathematical models and transient trajectory simulation are
presented by introducing switching/reset events in terms of triggering
hypersurfaces so as to formulate the optimization problem using TS analysis.
Finally, a case study of IEEE three-machine-nine-bus standard test system is
discussed in detail to exemplify the practicality and effectiveness of the
proposed optimal method.


title:
Automatic estimation of flux distributions of astrophysical source
  populations

abstract:
  In astrophysics a common goal is to infer the flux distribution of
populations of scientifically interesting objects such as pulsars or
supernovae. In practice, inference for the flux distribution is often conducted
using the cumulative distribution of the number of sources detected at a given
sensitivity. The resulting "$\log(N>S)$-$\log (S)$" relationship can be used to
compare and evaluate theoretical models for source populations and their
evolution. Under restrictive assumptions the relationship should be linear. In
practice, however, when simple theoretical models fail, it is common for
astrophysicists to use prespecified piecewise linear models. This paper
proposes a methodology for estimating both the number and locations of
"breakpoints" in astrophysical source populations that extends beyond existing
work in this field. An important component of the proposed methodology is a new
interwoven EM algorithm that computes parameter estimates. It is shown that in
simple settings such estimates are asymptotically consistent despite the
complex nature of the parameter space. Through simulation studies it is
demonstrated that the proposed methodology is capable of accurately detecting
structural breaks in a variety of parameter configurations. This paper
concludes with an application of our methodology to the Chandra Deep Field
North (CDFN) data set.


title:
Deuterium Burning in Massive Giant Planets and Low-Mass Brown Dwarfs
  formed by Core-Nucleated Accretion

abstract:
  Formation of bodies near the deuterium-burning limit is considered by
detailed numerical simulations according to the core-nucleated giant planet
accretion scenario. The objects, with heavy-element cores in the range 5-30
Mearth, are assumed to accrete gas up to final masses of 10-15 Jupiter masses
(Mjup). After the formation process, which lasts 1-5 Myr and which ends with a
'cold-start', low-entropy configuration, the bodies evolve at constant mass up
to an age of several Gyr. Deuterium burning via proton capture is included in
the calculation, and we determined the mass, M50, above which more than 50% of
the initial deuterium is burned. This often-quoted borderline between giant
planets and brown dwarfs is found to depend only slightly on parameters, such
as core mass, stellar mass, formation location, solid surface density in the
protoplanetary disk, disk viscosity, and dust opacity. The values for M50 fall
in the range 11.6-13.6 Mjup, in agreement with previous determinations that do
not take the formation process into account. For a given opacity law during the
formation process, objects with higher core masses form more quickly. The
result is higher entropy in the envelope at the completion of accretion,
yielding lower values of M50. For masses above M50, during the
deuterium-burning phase, objects expand and increase in luminosity by 1 to 3
orders of magnitude. Evolutionary tracks in the luminosity-versus-time diagram
are compared with the observed position of the companion to Beta Pictoris.


title: Higgs inflation from new K\"ahler potential

abstract:
  We introduce a new class of models of Higgs inflation using the
superconformal approach to supergravity by modifying the K$\ddot{a}$hler
geometry. Using such a mechanism, we construct a phenomenological functional
form of a new K$\ddot{a}$hler potential. From this we construct various types
of models which are characterized by a superconformal symmetry breaking
parameter $\chi$, and depending on the numerical values of $\chi$ we classify
all of the proposed models into three categories. Models with minimal coupling
are identified by $\chi=\pm\frac{2}{3}$ branch which are made up of shift
symmetry preserving flat directions. We also propose various other models by
introducing a non-minimal coupling of the inflaton field to gravity described
by $\chi\neq\frac{2}{3}$ branch. We employ all these proposed models to study
the inflationary paradigm by estimating the major cosmological observables and
confront them with recent observational data from WMAP9 along with other
complementary data sets, as well as independently with PLANCK. We also mention
an allowed range of non-minimal couplings and the {\it Yukawa} type of
couplings appearing in the proposed models used for cosmological parameter
estimation.


title: Context Aware Computing for The Internet of Things: A Survey

abstract:
  As we are moving towards the Internet of Things (IoT), the number of sensors
deployed around the world is growing at a rapid pace. Market research has shown
a significant growth of sensor deployments over the past decade and has
predicted a significant increment of the growth rate in the future. These
sensors continuously generate enormous amounts of data. However, in order to
add value to raw sensor data we need to understand it. Collection, modelling,
reasoning, and distribution of context in relation to sensor data plays
critical role in this challenge. Context-aware computing has proven to be
successful in understanding sensor data. In this paper, we survey context
awareness from an IoT perspective. We present the necessary background by
introducing the IoT paradigm and context-aware fundamentals at the beginning.
Then we provide an in-depth analysis of context life cycle. We evaluate a
subset of projects (50) which represent the majority of research and commercial
solutions proposed in the field of context-aware computing conducted over the
last decade (2001-2011) based on our own taxonomy. Finally, based on our
evaluation, we highlight the lessons to be learnt from the past and some
possible directions for future research. The survey addresses a broad range of
techniques, methods, models, functionalities, systems, applications, and
middleware solutions related to context awareness and IoT. Our goal is not only
to analyse, compare and consolidate past research work but also to appreciate
their findings and discuss their applicability towards the IoT.


title:
Real-Time Welfare-Maximizing Regulation Allocation in Dynamic
  Aggregator-EVs System

abstract:
  The concept of vehicle-to-grid (V2G) has gained recent interest as more and
more electric vehicles (EVs) are put to use. In this paper, we consider a
dynamic aggregator-EVs system, where an aggregator centrally coordinates a
large number of dynamic EVs to perform regulation service. We propose a
Welfare-Maximizing Regulation Allocation (WMRA) algorithm for the aggregator to
fairly allocate the regulation amount among its EVs. Compared to previous
works, WMRA accommodates a wide spectrum of vital system characteristics,
including dynamics of EV, limited EV battery size, EV battery degradation cost,
and the cost of using external energy sources for the aggregator. The algorithm
operates in real time and does not require any prior knowledge of the
statistical information of the system. Theoretically, we demonstrate that WMRA
is away from the optimum by O(1/V), where V is a controlling parameter
depending on EV's battery size. In addition, our simulation results indicate
that WMRA can substantially outperform a suboptimal greedy algorithm.


title:
Analytic modeling of instabilities driven by higher-order modes in HLS
  II RF system with a higher-harmonic cavity

abstract:
  The utility of a passive fourth-harmonic cavity plays key role in suppressing
longitudinal beam instabilities in the electron storage ring and lengthens the
bunch by a factor of 2.6 for the phase II project of Hefei Light Source(HLS
II). Meanwhile, instabilities driven by higher-order modes(HOM) may limit the
performance of the higher-harmonic cavity. In this paper, the parasitic
coupled-bunch instability which is driven by narrow band parasitic modes and
the microwave instability which is driven by broadband HOM are both modeled
analytically. The analytic modeling results are in good agreement with that of
our previous simulation study and indicate that the passive fourth-harmonic
cavity suppresses parasitic coupled-bunch instabilities and the microwave
instability. The modeling suggests that a fourth-harmonic cavity may be
successfully used at HLS II.


title:
Prethermalization and dynamical transition in an isolated trapped ion
  spin chain

abstract:
  We propose an experimental scheme to observe prethermalization and dynamical
transition in one-dimensional XY spin chain with long range interaction and
inhomogeneous lattice spacing, which can be readily implemented with the
recently developed trapped-ion quantum simulator. Local physical observables
are found to relax to prethermal values at intermediate time scale, followed by
complete relaxation to thermal values at much longer time. The physical origin
of prethermalization is explained by spotting a non-trivial structure in lower
half of the energy spectrum. The dynamical behavior of the system is shown to
cross difference phases when the interaction range is continuously tuned,
indicating the existence of dynamical phase transition.


title:
A Flexible Source of Non-Degenerate Entangled Photons Based on a
  Two-Crystal Sagnac Interferometer

abstract:
  Sources of entangled photon pairs are a key component in both fundamental
tests of quantum theory and practical applications such as quantum key
distribution and quantum computing. In this work, we describe and characterize
a source of polarization entangled photon pairs based on two spontaneous
parametric down-conversion (SPDC) crystals in a Sagnac interferometer. Our
source is compact and produces high-quality entangled states in a very flexible
manner. The wavelengths of the photon pairs, around 810 and 1550 nm, the phase
between orthogonal components of the entangled state, and the tangle of the
state are all independently adjustable. In addition to presenting basic
characterization data, we present experimental violations of CHSH and Leggett
inequalities, as well as an instance of the "beautiful" Bell inequality, which
has not previously been tested experimentally.


title:
Wigner coefficient for Lie algebras of series $B,C,D$ and a base of
  Gelfand-Tsetlin type

abstract:
  For the Lie algebras $g_n=
\mathfrak{o}_{2n+1},\mathfrak{sp}_{2n},\mathfrak{o}_{2n}$ a simple construction
of a base in an irreducible representation is given. The construction of this
base uses the method of $Z$-invariants of Zhelobenko and the technique of
Wigner coefficients, which was applied by Biedenharn and Baird to the
construction of a Gelfand-Tsetlin base in the case $\mathfrak{gl}_n$. A
relation between matrix elements and Wigner coefficients for $g_n$ and
analogous objects for $\mathfrak{gl}_{n+1}$ is established.


title:
Detection and size measurement of individual hemozoin nanocrystals in
  aquatic environment using a whispering gallery mode resonator

abstract:
  We, for the first time, report the detection and the size measurement of
single nanoparticles (i.e. polystyrene) in aquatic environment using mode
splitting in a whispering gallery mode (WGM) optical resonator, namely a
microtoroid resonator. Using this method we achieved detecting and measuring
individual synthetic hemozoin nanocrystals, which are a hemoglobin degradation
by-product of malarial parasites, dispersed in a solution or in air. The
results of size measurement in solution and in air agree with each other and
with those obtained using scanning electron microscope and dynamic light
scattering. Moreover, we compare the sensing capabilities of the degenerate
(single resonance) and non-degenerate (split mode, doublet) operation regimes
of the WGM resonator.

categories: physics.optics physics.bio-ph physics.ins-det physics.med-ph


title:
The Dynamics of Rapid Fracture: Instabilities, Nonlinearities and Length
  Scales

abstract:
  The failure of materials and interfaces is mediated by cracks, nearly
singular dissipative structures that propagate at velocities approaching the
speed of sound. Crack initiation and subsequent propagation -- the dynamic
process of fracture -- couples a wide range of time and length scales. Crack
dynamics challenge our understanding of the fundamental physics processes that
take place in the extreme conditions within the nearly singular region where
material failure occurs. Here, we first briefly review the classic approach to
dynamic fracture, "Linear Elastic Fracture Mechanics" (LEFM), and discuss its
successes and limitations. We show how, on the one hand, recent experiments
performed on straight cracks propagating in soft brittle materials have
quantitatively confirmed the predictions of this theory to an unprecedented
degree. On the other hand, these experiments show how LEFM breaks down as the
singular region at the tip of a crack is approached. This breakdown naturally
leads to a new theoretical framework coined "Weakly Nonlinear Fracture
Mechanics", where weak elastic nonlinearities are incorporated. The stronger
singularity predicted by this theory gives rise to a new and intrinsic length
scale, $\ell_{nl}$. These predictions are verified in detail through direct
measurements. We then theoretically and experimentally review how the emergence
of $\ell_{nl}$ is linked to a new equation for crack motion, which predicts the
existence of a high-speed oscillatory crack instability whose wave-length is
determined by $\ell_{nl}$. We conclude by delineating outstanding challenges in
the field.


title: Device-independent randomness amplification with a single device

abstract:
  Expansion and amplification of weak randomness with untrusted quantum devices
has recently become a very fruitful topic of research. Here we contribute with
a procedure for amplifying a single weak random source using tri-partite
GHZ-type entangled states. If the quality of the source reaches a fixed
threshold $R=\frac{1}{4}\log_{2}(10)$, perfect random bits can be produced.
This technique can be used to extract randomness from sources that can't be
extracted neither classically, nor by existing procedures developed for
Santha-Vazirani sources. Our protocol works with a single fault-free device
decomposable into three non-communicating parts, that is repeatedly reused
throughout the amplification process.


title:
Order-Preservation for Multidimensional Stochastic Functional
  Differential Equations with Jump

abstract:
  Sufficient and necessary conditions are presented for the order-preservation
of stochastic functional differential equations on $\R^d$ with non-Lipschitzian
coefficients driven by the Brownian motion and Poisson processes. The
sufficiency of the conditions extends and improves some known comparison
theorems derived recently for one-dimesional equations and multidimensional
equations without delay, and the necessity is new even in these special
situations.


title:
Exact null-controllability of interconnected abstract evolution systems
  by scalar force motion

abstract:
  The paper deals with exact null-controllability problem for a linear control
system consisting of two serially connected abstract control systems.
Controllability conditions are obtained. Applications to the exact
null-controllability for interconnected control system of heat and wave
equations are considered.


title: Sofic profile and computability of Cremona groups

abstract:
  In this paper, we show that Cremona groups are sofic. We actually introduce a
quantitative notion of soficity, called sofic profile, and show that the group
of birational transformations of a d-dimensional variety has sofic profile at
most polynomial of degree d. We also observe that finitely generated subgroups
of the Cremona group have a solvable word problem. This provides examples of
finitely generated groups with no embeddings into any Cremona group, answering
a question of S. Cantat.


title:
Pulsed sextupole injection for Beijing Advanced Photon Source with
  ultralow emittance

abstract:
  In this paper we present the physical design of the pulsed sextupole
injection system for Beijing Advanced Photon Source (BAPS) with an ultralow
emittance. The BAPS ring lattice is designed in such a way that two options of
pulsed sextupole injection are allowed, i.e., with septum and pulsed sextupole
in different drift spaces or in the same drift space. We give the magnetic
parameters of the injection system and the optimal condition of the optical
functions for both options. In addition, we find that the pulsed sextupole
induces position-dependent dispersive effect and causes non-ignorable effect on
the injection efficiency in a storage ring with a relatively small acceptance,
which should be well considered.


title:
Towards the ultimate storage ring: the lattice design for Beijing
  Advanced Photon Source

abstract:
  A storage ring-based light source, Beijing Advanced Photon Source (BAPS) is
proposed to store 5-GeV low-emittance electron beam and to provide
high-brilliance coherent radiation. In this paper, we report our efforts of
pushing down the emittance of BAPS to approach the so-called ultimate storage
ring, while fixing the circumference to about 1200 m. To help dealing with the
challenge of beam dynamics associated with the intrinsic very strong
nonlinearities in an ultralow-emittance ring, a combination of several
progressive technologies is used in the linear optics design and nonlinear
optimization, such as modified theoretical minimum emittance cell with
small-aperture magnets, quasi-3rd-order achromat, theoretical analyzer based on
Lie Algebra and Hamiltonian analysis, multi-objective genetic algorithm, and
frequency map analysis. These technologies enable us to obtain satisfactory
beam dynamics in one lattice design with natural emittance of 75 pm.


title:
Realization of locally-round beam in an ultimate storage ring using
  solenoids

abstract:
  Ultimate storage rings (USRs), with electron emittance smaller than 100
pm.rad and on the scale of the diffraction limit for hard X-rays in both
transverse planes, have the potential to deliver photons with much higher
brightness and higher transverse coherence than that projected for the rings
currently operational or under construction. Worldwide efforts have been made
to design and to build light sources based on USRs. How to obtain a round beam,
i.e. beam with equivalent transverse emittances, is an important topic in USR
studies. In this paper, we show that a locally-round beam can be achieved by
using a pair of solenoid and anti-solenoid with a circularly polarized
undulator located in between. Theoretical analysis and application of this
novel method, particularly to one of the Beijing Advanced Photon Source storage
ring design having natural emittance of 75 pm.rad, are presented.


title: Fermi Statistics of Partially Populated States

abstract:
  Fermi statistics is formally extended to the case when energy levels are
allowed to be partially occupied, which the Pauli principle does not
categorically exclude. The partial Fermi distribution obtained depends on the
partial occupation of states but otherwise has similar properties as the
(integer) Fermi distribution. In the zero temperature limit both are identical.


title: Discovery of X-ray Pulsation from the Geminga-like Pulsar PSR J2021+4026

abstract:
  We report the discovery of X-ray periodicity of ~265.3 ms from a deep
XMM-Newton observation of the radio-quiet gamma-ray pulsar, PSR J2021+4026,
located at the edge of the supernova remnant G78.2+2.1 (gamma-Cygni).The
detected frequency is consistent with the gamma-ray pulsation determined by the
observation of Fermi Gamma-ray Space Telescope at the same epoch. The X-ray
pulse profile resembles the modulation of hot spot on the surface of the
neutron star. The phase-averaged spectral analysis also suggests that the
majority of the observed X-rays have a thermal origin. This is the third member
in the class of radio-quiet pulsars with the significant pulsations detected
from both X-rays and gamma-ray regimes.


title:
Multi-Point Virtual Structure Constants and Mirror Computation of
  CP^2-model

abstract:
  In this paper, we propose a geometrical approach to mirror computation of
genus 0 Gromov-Witten invariants of CP^2. We use multi-point virtual structure
constants, which are defined as intersection numbers of a compact moduli space
of quasi maps from CP^1 to CP^2 with 2+n marked points. We conjecture that some
generating functions of them produce mirror map and the others are translated
into generating functions of Gromov-Witten invariants via the mirror map. We
generalize this formalism to open string case. In this case, we have to
introduce infinite number of deformation parameters to obtain results that
agree with some known results of open Gromov-Witten invariants of CP^2. We also
apply multi-point virtual structure constants to compute closed and open
Gromov-Witten invariants of a non-nef hypersurface in projective space. This
application simplifies the computational process of generalized mirror
transformation.


title: Electrons in Magnetic Mirror Geometry

abstract:
  Landau's theory of electron motion in stationary magnetic fields is extended
to the inclusion of bouncing along the field between mirror points in an
inhomogeneous field. The problem can be treated perturbation theoretically. As
expected, bouncing is quantized, causes a weak shift in Landau levels, reduces
parallel degeneracy, but does not contribute to diamagnetism.


title:
A non Supersymmetric SO(10) Grand Unified Model for All the Physics
  below $M_{GUT}$

abstract:
  We present a renormalizable non supersymmetric Grand Unified SO(10) model
which, at the price of a large fine tuning, is compatible with all compelling
phenomenological requirements below the unification scale and thus realizes a
minimal extension of the SM, unified in SO(10) and describing all known physics
below $M_{GUT}$. These requirements include coupling unification at a large
enough scale to be compatible with the bounds on proton decay; a Yukawa sector
in agreement with all the data on quark and lepton masses and mixings and with
leptogenesis as the origin of the baryon asymmetry of the Universe; an axion
arising from the Higgs sector of the model, suitable to solve the strong CP
problem and to account for the observed amount of Dark Matter. The above
constraints imposed by the data are very stringent and single out a particular
breaking chain with the Pati-Salam group at an intermediate scale
$M_I\sim10^{11}$ GeV.


title:
Efficient Estimation of the number of neighbours in Probabilistic K
  Nearest Neighbour Classification

abstract:
  Probabilistic k-nearest neighbour (PKNN) classification has been introduced
to improve the performance of original k-nearest neighbour (KNN) classification
algorithm by explicitly modelling uncertainty in the classification of each
feature vector. However, an issue common to both KNN and PKNN is to select the
optimal number of neighbours, $k$. The contribution of this paper is to
incorporate the uncertainty in $k$ into the decision making, and in so doing
use Bayesian model averaging to provide improved classification. Indeed the
problem of assessing the uncertainty in $k$ can be viewed as one of statistical
model selection which is one of the most important technical issues in the
statistics and machine learning domain. In this paper, a new functional
approximation algorithm is proposed to reconstruct the density of the model
(order) without relying on time consuming Monte Carlo simulations. In addition,
this algorithm avoids cross validation by adopting Bayesian framework. The
performance of this algorithm yielded very good performance on several real
experimental datasets.


title:
Qualitative properties of positive solutions of quasilinear equations
  with Hardy terms

abstract:
  In this paper, we are concerned with the quasilinear PDE with weight $$ -div
A(x,\nabla u)=|x|^a u^q(x), \quad u>0 \quad \textrm{in} \quad R^n, $$ where $n
\geq 3$, $q>p-1$ with $p \in (1,2]$ and $a \in (-n,0]$. The positive weak
solution $u$ of the quasilinear PDE is $\mathcal{A}$-superharmonic and
satisfies $\inf_{R^n}u=0$. We can introduce an integral equation involving the
wolff potential $$ u(x)=R(x) W_{\beta,p}(|y|^au^q(y))(x), \quad u>0 \quad
\textrm{in} \quad R^n, $$ which the positive solution $u$ of the quasilinear
PDE satisfies. Here $p \in (1,2]$, $q>p-1$, $\beta>0$ and $0 \leq -a<p\beta<n$.
When $0<q \leq \frac{(n+a)(p-1)}{n-p\beta}$, there does not exist any positive
solution to this integral equation. When $q>\frac{(n+a)(p-1)}{n-p\beta}$, the
positive solution $u$ of the integral equation is bounded and decays with the
fast rate $\frac{n-p\beta}{p-1}$ if and only if it is integrable (i.e. it
belongs to $L^{\frac{n(q-p+1)}{p\beta+a}}(R^n)$). On the other hand, if the
bounded solution is not integrable and decays with some rate, then the rate
must be the slow one $\frac{p\beta+a}{q-p+1}$. Thus, all the properties above
are still true for the quasilinear PDE. Finally, several qualitative properties
for this PDE are discussed.


title:
Coherent-Potential approximation for diffusion and wave propagation in
  topologically disordered systems

abstract:
  Using Gaussian integral transform techniques borrowed from
functional-integral field theory and the replica trick we derive a version of
the coherent-potential approximation (CPA) suited for describing ($i$) the
diffusive (hopping) motion of classical particles in a random environment and
($ii$) the vibrational properties of materials with spatially fluctuating
elastic coefficients in topologically disordered materials. The effective
medium in the present version of the CPA is not a lattice but a homogeneous and
isotropic medium, representing an amorphous material on a mesoscopic scale. The
transition from a frequency-independent to a frequency-dependent diffusivity
(conductivity) is shown to correspond to the boson peak in the vibrational
model. The anomalous regimes above the crossover are governed by a complex,
frequency-dependent self energy. The boson peak is shown to be stronger for
non-Gaussian disorder than for Gaussian disorder. We demonstrate that the
low-frequency non-analyticity of the off-lattice version of the CPA leads to
the correct long-time tails of the velocity autocorrelation function in the
hopping problem and to low-frequency Rayleigh scattering in the wave problem.
Furthermore we show that the present version of the CPA is capable to treat the
percolative aspects of hopping transport adequately.


title: The Rainbows of Gravity

abstract:
  We present here a spectrum of developments and predictions in gravitation
theory in recent years which appear to be amongst some of the most exciting
directions. These include the spacetime singularities, gravitational collapse
final states, and the deep cosmic conundrums that the new results on these
issues have revealed. Amongst these are the cosmic censorship and the paradox
of predictability in the universe, and the possible emerging implications for a
quantum theory of gravity. The likely contact with observations and
implications for relativistic astrophysics and black hole physics today are
indicated.


title:
Examining custodial symmetry in the Higgs sector of Georgi-Machacek
  model

abstract:
  We study consequences of custodial symmetry in the Higgs sector of the
Georgi-Machacek (GM) model. We discuss how the 5-plet and 3-plet Higgs bosons
classified under the custodial SU(2) symmetry are produced and decay at the
CERN Large Hadron Collider. By determining their masses through proposed
channels, we can test the mass degeneracy in each Higgs multiplet.


title:
Analysis techniques and performance of the Domino Ring Sampler version 4
  based readout for the MAGIC telescopes

abstract:
  Recently the readout of the MAGIC telescopes has been upgraded to a new
system based on the Domino Ring Sampler version 4 chip. We present the analysis
techniques and the signal extraction performance studies of this system. We
study the behaviour of the baseline, the noise, the cross-talk, the linearity
and the time resolution. We investigate also the optimal signal extraction. In
addition we show some of the analysis techniques specific to the readout based
on the Domino Ring Sampler version 2 chip, previously used in the MAGIC II
telescope.


title:
Proof of a Conjecture on the Genus Two Free Energy Associated to the A_n
  Singularity

abstract:
  In a recent paper [8], it is proved that the genus two free energy of an
arbitrary semisimple Frobenius manifold can be represented as a sum of
contributions associated with dual graphs of certain stable algebraic curves of
genus two plus the so called genus two G-function, and for a certain class of
Frobenius manifolds it is conjectured that the associated genus two G-function
vanishes. In this paper, we prove this conjecture for the Frobenius manifolds
associated with simple singularities of type A.


title:
Homogenization and norm resolvent convergence for elliptic operators in
  a strip perforated along a curve

abstract:
  We consider an infinite planar straight strip perforated by small holes along
a curve. In such domain, we consider a general second order elliptic operator
subject to classical boundary conditions on the holes. Assuming that the
perforation is non-periodic and satisfies rather weak assumptions, we describe
all possible homogenized problems. Our main result is the norm resolvent
convergence of the perturbed operator to a homogenized one in various operator
norms and the estimates for the rate of convergence. On the basis of the norm
resolvent convergence, we prove the convergence of the spectrum.


title:
An Optimal Mastermind (4,7) Strategy and More Results in the Expected
  Case

abstract:
  This paper presents an optimal strategy for solving the 4 peg-7 color
Mastermind MM(4,7) in the expected case (4.676) along with optimal strategies
or upper bounds for other values. The program developed is using a depth-first
branch and bound algorithm relying on tight upper bound, dynamic lower bound
evaluation and guess equivalence to prune symmetric tree branches.


title: Energy Dissipation in Driven Granular Matter in the Absence of Gravity

abstract:
  We experimentally investigate the energy dissipation rate in sinusoidally
driven boxes which are partly filled by granular material under conditions of
weightlessness. We identify two different modes of granular dynamics, depending
on the amplitude of driving, $A$. For intense forcing, A>A_0, the material is
found in the collect-and-collide regime where the center of mass of the
granulate moves synchronously with the driven container while for weak forcing,
A<A_0, the granular material exhibits gas-like behavior. Both regimes
correspond to different dissipation mechanisms, leading to different scaling
with amplitude and frequency of the excitation and with the mass of the
granulate. For the collect-and-collide regime, we explain the dependence on
frequency and amplitude of the excitation by means of an effective one-particle
model. For both regimes, the results may be collapsed to a single curve
characterizing the physics of granular dampers.


title:
Low Complexity Delay-Constrained Beamforming for Multi-User MIMO Systems
  with Imperfect CSIT

abstract:
  In this paper, we consider the delay-constrained beamforming control for
downlink multi-user MIMO (MU- MIMO) systems with imperfect channel state
information at the transmitter (CSIT). The delay-constrained control problem is
formulated as an infinite horizon average cost partially observed Markov
decision process. To deal with the curse of dimensionality, we introduce a
virtual continuous time system and derive a closed-form approximate value
function using perturbation analysis w.r.t. the CSIT errors. To deal with the
challenge of the conditional packet error rate (PER), we build a tractable
closed- form approximation using a Bernstein-type inequality. Based on the
closed-form approximations of the relative value function and the conditional
PER, we propose a conservative formulation of the original beamforming control
problem. The conservative problem is non-convex and we transform it into a
convex problem using the semidefinite relaxation (SDR) technique. We then
propose an alternating iterative algorithm to solve the SDR problem. Finally,
the proposed scheme is compared with various baselines through simulations and
it is shown that significant performance gain can be achieved.


title: Novel symmetries in the modified version of two dimensional Proca theory

abstract:
  By exploiting Stueckelberg's approach, we obtain a gauge theory for the two
(1+1)-dimensional (2D) Proca theory and demonstrate that this theory is endowed
with, in addition to the usual Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST
symmetries, the on-shell nilpotent (anti-)co-BRST symmetries, under which the
total gauge-fixing term remains invariant. The anticommutator of the BRST and
co-BRST (as well as anti-BRST and anti-co-BRST) symmetries define a unique
bosonic symmetry in the theory, under which the ghost part of the Lagrangian
density remains invariant. To establish connections of the above symmetries
with the Hodge theory, we invoke a pseudo-scalar field in the theory.
Ultimately, we demonstrate that the full theory provides a field theoretic
example for the Hodge theory where the continuous symmetry transformations
provide a physical realization of the de Rham cohomological operators and
discrete symmetries of the theory lead to the physical realization of the Hodge
duality operation of differential geometry. We also mention the physical
implications and utility of our present investigation.


title:
The Hamiltonian mass of asymptotically Schwarzschild-de Sitter
  space-times

abstract:
  We derive the Hamiltonian mass for general relativistic initial data sets
with asymptotically Schwarzschild-de Sitter ends.


title: Cayley transform and the Kronecker product of Hermitian matrices

abstract:
  We consider the conditions under which the Cayley transform of the Kronecker
product of two Hermitian matrices can be again presented as a Kronecker product
of two matrices and, if so, if it is a product of the Cayley transforms of the
two Hermitian matrices. We also study the related question: given two matrices,
which matrix under the Cayley transform yields the Kronecker product of their
Cayley transforms.


title: Constraining minimal and non-minimal UED models with Higgs couplings

abstract:
  Early indications from the LHC for the observed scalar boson imply properties
close to the Standard Model Higgs, putting considerable constraints on TeV
scale new physics scenarios. In this letter we consider flat extra dimensional
scenarios with the fifth spatial dimension compactified on an S^1/Z_2 orbifold.
We find in the minimal model the experimentally preferred effective Higgs
couplings to gluon and photon at 95% confidence level disfavor the New Physics
scale below 1.3 TeV. We demonstrate that a generalization of these models to
include brane localized kinetic terms can relieve the tension to accommodate
scales as low as 0.4 TeV.


title: On a conjecture of Dekking : The sum of digits of even numbers

abstract:
  Let $q\geq 2$ and denote by $s_q$ the sum-of-digits function in base $q$. For
$j=0,1,...,q-1$ consider $$# \{0 \le n < N : \;\;s_q(2n) \equiv j \pmod q \}.$$
In 1983, F. M. Dekking conjectured that this quantity is greater than $N/q$
and, respectively, less than $N/q$ for infinitely many $N$, thereby claiming an
absence of a drift (or Newman) phenomenon. In this paper we prove his
conjecture.


title: Manifolds with nef anticanonical bundle

abstract:
  Let X be a compact K\"ahler manifold such that the anticanonical bundle
$-K_X$ is nef. A classical conjecture claims that the Albanese map is
submersive. We prove this conjecture if the general fibre is a weak Fano
manifold. If X is projective we prove the conjecture also for fibres of
dimension at most two.


title: Simple Deep Random Model Ensemble

abstract:
  Representation learning and unsupervised learning are two central topics of
machine learning and signal processing. Deep learning is one of the most
effective unsupervised representation learning approach. The main contributions
of this paper to the topics are as follows. (i) We propose to view the
representative deep learning approaches as special cases of the knowledge reuse
framework of clustering ensemble. (ii) We propose to view sparse coding when
used as a feature encoder as the consensus function of clustering ensemble, and
view dictionary learning as the training process of the base clusterings of
clustering ensemble. (ii) Based on the above two views, we propose a very
simple deep learning algorithm, named deep random model ensemble (DRME). It is
a stack of random model ensembles. Each random model ensemble is a special
k-means ensemble that discards the expectation-maximization optimization of
each base k-means but only preserves the default initialization method of the
base k-means. (iv) We propose to select the most powerful representation among
the layers by applying DRME to clustering where the single-linkage is used as
the clustering algorithm. Moreover, the DRME based clustering can also detect
the number of the natural clusters accurately. Extensive experimental
comparisons with 5 representation learning methods on 19 benchmark data sets
demonstrate the effectiveness of DRME.


title: Channel capacities via $p$-summing norms

abstract:
  In this paper we show how \emph{the metric theory of tensor products}
developed by Grothendieck perfectly fits in the study of channel capacities, a
central topic in \emph{Shannon's information theory}. Furthermore, in the last
years Shannon's theory has been generalized to the quantum setting to let the
\emph{quantum information theory} step in. In this paper we consider the
classical capacity of quantum channels with restricted assisted entanglement.
In particular these capacities include the classical capacity and the unlimited
entanglement-assisted classical capacity of a quantum channel. To deal with the
quantum case we will use the noncommutative version of $p$-summing maps. More
precisely, we prove that the (product state) classical capacity of a quantum
channel with restricted assisted entanglement can be expressed as the
derivative of a completely $p$-summing norm.


title: Parameterized Quantum Query Complexity of Graph Collision

abstract:
  We present three new quantum algorithms in the quantum query model for
\textsc{graph-collision} problem: \begin{itemize} \item an algorithm based on
tree decomposition that uses $O\left(\sqrt{n}t^{\sfrac{1}{6}}\right)$ queries
where $t$ is the treewidth of the graph; \item an algorithm constructed on a
span program that improves a result by Gavinsky and Ito. The algorithm uses
$O(\sqrt{n}+\sqrt{\alpha^{**}})$ queries, where $\alpha^{**}(G)$ is a graph
parameter defined by \[\alpha^{**}(G):=\min_{VC\text{-- vertex cover
of}G}{\max_{\substack{I\subseteq VC\\I\text{-- independent set}}}{\sum_{v\in
I}{\deg{v}}}};\] \item an algorithm for a subclass of circulant graphs that
uses $O(\sqrt{n})$ queries. \end{itemize} We also present an example of a
possibly difficult graph $G$ for which all the known graphs fail to solve graph
collision in $O(\sqrt{n} \log^c n)$ queries.


title: A New Approach to Decoding of Rational Irreducible Goppa code

abstract:
  The interesting properties of classical Goppa code and its effective decoding
algorithm (algorithm of patterson) make the most appropriate candidate for use
in the MC Eliece cryptosystem. Information leakage which results from the
relationship between the error vector weight and the number of iterations in
the decoding algorithm, presented a weakness of the cryptosystem. In this
paper, we introduce a new approach to decoding, the use of binary Goppa code in
system design MC Eliece which solve the problem of the leak of information, on
the contrary in case of patterson algorithm. We treat this decoding method
using the Newton identities and results of linear algebra.


title: Clumpy Outflow from Supercritical Accretion Flows

abstract:
  Significant fraction of matter in supercritical (or super-Eddington)
accretion flow is blown away by radiation force, thus forming outflows,
however, the properties of such radiation-driven outflows have been poorly
understood. We have performed global two-dimensional
radiaion-magnetohydrodynamic simulations of supercritical accretion flow onto a
black hole with 10 or 10^8 solar masses in a large simulation box of 514 r_S x
514 r_S (with r_S being the Schwarzschild radius). We confirm that uncollimated
outflows with velocities of 10 percents of the speed of light emerge from the
innermost part of the accretion flow over wide angles of 10 - 50 degree from
the disk rotation axis. Importantly, the outflows exhibit clumpy structure
above heights of ~ 250 r_S. The typical size of the clumps is ~ 10 r_S, which
corresponds to one optical depth, and their shapes are slightly elongated along
the outflow direction. Since clumps start to form in the layer above which
(upward) radiation force overcomes (downward) gravity force, Rayleigh-Taylor
instability seems to be of primary cause. In addition, a radiation hydrodynamic
instability, which arises when radiation funnels through radiation-pressure
supported atmosphere, may also help forming clumps of one optical depth.
Magnetic photon bubble instability seems not to be essential, since similar
clumpy outflow structure is obtained in non-magnetic radiation-hydrodynamic
simulations. Since the spatial covering factor of the clumps is estimated to be
~ 0.3 and since they are marginally optically thick, they will explain at least
some of rapid light variations of active galactic nuclei. We further discuss a
possibility of producing broad-line clouds by the clumpy outflow.


title: Construction of Abelian varieties with given monodromy

abstract:
  Let $\rho$ be a finite-dimensional faithful representation of a semisimple
algebraic group $G$. By means of a deformation argument, we show that there
exists a family of Abelian varieties over a smooth and projective curve over
the algebraic closure of a prime field of positive characteristic, such that
its $\ell$-adic monodromy group covers $G$ and its $\ell$-adic monodromy
representation contains $\rho$.


title: Symplectic and Hamiltonian Deformations of Gabor Frames

abstract:
  We study symplectic deformations of Gabor frames using the covariance
properties of the Heisenberg operators. This allows us to recover in a very
simple way known results. We thereafter propose a general deformation scheme by
Hamiltonian isotopies, which are paths of Hamiltonian flows. We define and
study in detail a weak notion of Hamiltonian deformations, using ideas from
semiclassical analysis due to Heller and Hagedorn. This method can be easily
implemented using symplectic integrators.


title: Hurwitz-Hodge integral identities from the cut-and-join equation

abstract:
  In this paper, we present some Hurwitz-Hodge integral identities which are
derived from the Laplace transform of the cut-and-join equation for the
orbifold Hurwitz numbers. As an application, we prove a conjecture on
Hurwitz-Hodge integral proposed by J. Zhou in 2008.


title: Regret Bounds for Reinforcement Learning with Policy Advice

abstract:
  In some reinforcement learning problems an agent may be provided with a set
of input policies, perhaps learned from prior experience or provided by
advisors. We present a reinforcement learning with policy advice (RLPA)
algorithm which leverages this input set and learns to use the best policy in
the set for the reinforcement learning task at hand. We prove that RLPA has a
sub-linear regret of \tilde O(\sqrt{T}) relative to the best input policy, and
that both this regret and its computational complexity are independent of the
size of the state and action space. Our empirical simulations support our
theoretical analysis. This suggests RLPA may offer significant advantages in
large domains where some prior good policies are provided.


title:
Emergence of domains and nonlinear transport in the zero-resistance
  state

abstract:
  We study transport in the domain state, the so-called zero-resistance state,
that emerges in a two-dimensional electron system in which the combined action
of microwave radiation and magnetic field produces a negative absolute
conductivity. We show that the voltage-biased system has a rich phase diagram
in the system size and voltage plane, with second- and first-order transitions
between the domain and homogeneous states for small and large voltages,
respectively. We find the residual negative dissipative resistance in the
stable domain state.


title: Cavity cooling of an ensemble spin system

abstract:
  We describe how sideband cooling techniques may be applied to large spin
ensembles in magnetic resonance. Using the Tavis-Cummings model in the presence
of a Rabi drive, we solve a Markovian master equation describing the joint
spin-cavity dynamics to derive cooling rates as a function of ensemble size.
Our calculations indicate that the coupled angular momentum subspaces of a spin
ensemble containing roughly $10^{11}$ electron spins may be polarized in a time
many orders of magnitude shorter than the typical thermal relaxation time. The
described techniques should permit efficient removal of entropy for spin-based
quantum information processors and fast polarization of spin samples. The
proposed application of a standard technique in quantum optics to magnetic
resonance also serves to reinforce the connection between the two fields, which
has recently begun to be explored in further detail due to the development of
hybrid designs for manufacturing noise-resilient quantum devices.


title:
Infinite-dimensional Frobenius Manifolds Underlying the Toda Lattice
  Hierarchy

abstract:
  Following the approach of Carlet et al.(2011)\cite{CDM}, we construct a class
of infinite-dimensional Frobenius manifolds underlying the Toda lattice
hierarchy, which are defined on the space of pairs of meromorphic functions
with possibly higher-order poles at the origin and at infinity. We also show a
connection between these infinite-dimensional Frobenius manifolds and the
finite-dimensional Frobenius manifolds on the orbit space of extended affine
Weyl groups of type $A$ defined by Dubrovin and Zhang.


title: Microcanonical ensembles of systems with mechanical constraints

abstract:
  We have obtained an exact expression for the phase-space volume corresponding
to a microcanonical ensemble of systems under center of mass, total linear and
angular momenta conservation constraints, and arbitrary constraints on the
coordinates of particles of the system. Methods are suggested to calculate the
phase-space volume and density of states from the mean kinetic energy and mean
inverse kinetic energy. Methods to control equilibrium in simulations are also
presented. We have derived exact formulae for several thermodynamic response
functions. It is shown how to obtain the phase-space volume corresponding to
other ensembles when one or several of the constraints are removed. It is shown
that the phase-space volume of a system at positive values of the energy is a
polynomial function of the energy if the potential energy of interaction
between particles of the system consists of a hard-core potential and an
arbitrary negative potential. We have also shown that the coefficients of the
polynomial function can be determined from simulations.


title: Structural properties of dense hard spheres near random close packing

abstract:
  We numerically study structural properties of mechanically stable packings of
hard spheres (HS), in a wide range of packing fractions $0.53 \le \phi \le
0.72$. Detailed structural information is obtained from the analysis of
orientational order parameters, which clearly reveals a disorder-order phase
transition at the random close packing (RCP) density, $\phi_{\rm c} \simeq
0.64$. Above $\phi_{\rm c}$ the crystalline nuclei form 3D-like clusters, which
upon further desification, transform into alternating planar-like layers. We
also find that particles with icosahedral symmetry survive only in a narrow
density range in the vicinity of the RCP transition.


title:
Superconductivity and Disorder Effect in TlNi$_2$Se$_{2-x}$S$_x$
  crystals

abstract:
  After our first discovery of superconductivity (SC) with $T_C$=3.7 K in
TlNi$_2$Se$_2$, we grew successfully a series of TlNi$_2$Se$_{2-x}$S$_x$ (0.0
$\leq$ x $\leq$2.0) single crystals. The measurements of resistivity,
susceptibility and specific heat were carried out. We found that SC with
$T_C$=2.3 K also emerges in TlNi$_2$S$_2$ crystal, which appears to involve
heavy electrons with an effective mass $m^*$=13$\sim$25 $m_b$, as inferred from
the normal state electronic specific heat and the upper critical field,
$H_{C2}(T)$. It was found that the $T_C$ and superconducting volume fraction in
TlNi$_2$Se$_{2-x}$S$_x$ crystals changes with the disorder degree induced by
the partial substitution of S for Se, which is characterized by the residual
resistivity ratio (\textit{RRR}). The effect of the disorder on SC may provide
some information for understanding the mechanism of SC in this new
Ni-chalcogenide system.


title:
Predicting multidimensional distributive properties of hyperbranched
  polymer resulting from AB2 polymerization with substitution, cyclization and
  shielding

abstract:
  A deterministic mathematical model for the polymerization of hyperbranched
molecules accounting for substitution, cyclization, and shielding effect has
been developed as a system of nonlinear population balances. The solution
obtained by a novel approximation method shows perfect agreement with the
analytical solution in limiting cases and provides, for the first time in this
class of polymerization problems, full multidimensional results.


title: Can Eta mesons have a magnetic moment ?

abstract:
  The response of pseudoscalar and vector mesons to strong magnetic fields is
studied within a simple constituent quark model using analogy with bound states
of Positronium. Magnetic moments of charged vector mesons K*, D*, B* are
predicted and it is found that Eta mesons have magnetic polarizability. In
extremely strong magnetic fields, behaviour of J/Psi mesons is discussed. We
speculate on the existence of an induced magnetic moment of Eta meson.


title: A Mixture of Generalized Hyperbolic Distributions

abstract:
  We introduce a mixture of generalized hyperbolic distributions as an
alternative to the ubiquitous mixture of Gaussian distributions as well as
their near relatives of which the mixture of multivariate t and skew-t
distributions are predominant. The mathematical development of our mixture of
generalized hyperbolic distributions model relies on its relationship with the
generalized inverse Gaussian distribution. The latter is reviewed before our
mixture models are presented along with details of the aforesaid reliance.
Parameter estimation is outlined within the expectation-maximization framework
before the clustering performance of our mixture models is illustrated via
applications on simulated and real data. In particular, the ability of our
models to recover parameters for data from underlying Gaussian and skew-t
distributions is demonstrated. Finally, the role of Generalized hyperbolic
mixtures within the wider model-based clustering, classification, and density
estimation literature is discussed.


title: Disconnected rational homotopy theory

abstract:
  We construct two algebraic versions of homotopy theory of rational
disconnected topological spaces, one based on differential graded commutative
associative algebras and the other one on complete differential graded Lie
algebras. As an application of the developed technology we obtain results on
the structure of Maurer-Cartan spaces of complete differential graded Lie
algebras.


title: Zero-Temperature Coarsening in the 2d Potts Model

abstract:
  We study the fate of the 2d kinetic q-state Potts model after a sudden quench
to zero temperature. Both ground states and complicated static states are
reached with non-zero probabilities. These outcomes resemble those found in the
quench of the 2d Ising model; however, the variety of static states in the
q-state Potts model (with q>=3) is much richer than in the Ising model, where
static states are either ground or stripe states. Another possibility is that
the system gets trapped on a set of equal-energy blinker states where a subset
of spins can flip ad infinitum; these states are similar to those found in the
quench of the 3d Ising model. The evolution towards the final energy is also
unusual---at long times, sudden and massive energy drops may occur that are
accompanied by macroscopic reordering of the domain structure. This
indeterminacy in the zero-temperature quench of the kinetic Potts model is at
odds with basic predictions from the theory of phase-ordering kinetics. We also
propose a continuum description of coarsening with more than two equivalent
ground states. The resulting time-dependent Ginzburg-Landau equations reproduce
the complex cluster patterns that arise in the quench of the kinetic Potts
model.


title:
Convergence of the density of states and delocalization of eigenvectors
  on random regular graphs

abstract:
  Consider a random regular graph of fixed degree $d$ with $n$ vertices. We
study spectral properties of the adjacency matrix and of random Schr\"odinger
operators on such a graph as $n$ tends to infinity.
  We prove that the integrated density of states on the graph converges to the
integrated density of states on the infinite regular tree and we give uniform
bounds on the rate of convergence. This allows to estimate the number of
eigenvalues in intervals of size comparable to $\log_{d-1}^{-1}(n)$. Based on
related estimates for the Green function we derive results about delocalization
of eigenvectors.


title: On the Convergence and Consistency of the Blurring Mean-Shift Process

abstract:
  The mean-shift algorithm is a popular algorithm in computer vision and image
processing. It can also be cast as a minimum gamma-divergence estimation. In
this paper we focus on the "blurring" mean shift algorithm, which is one
version of the mean-shift process that successively blurs the dataset. The
analysis of the blurring mean-shift is relatively more complicated compared to
the nonblurring version, yet the algorithm convergence and the estimation
consistency have not been well studied in the literature. In this paper we
prove both the convergence and the consistency of the blurring mean-shift. We
also perform simulation studies to compare the efficiency of the blurring and
the nonblurring versions of the mean-shift algorithms. Our results show that
the blurring mean-shift has more efficiency.


title:
Symplectic homology of displaceable Liouville domains and Leafwise
  intersection points

abstract:
  In this note we prove that the symplectic homology of a Liouville domain W
displaceable in the symplectic completion vanishes. Nevertheless if the Euler
characteristic of (W,\p W) is odd, the filtered symplectic homologies of W do
not vanish and give rise to leafwise intersection points on the symplectic
completion of W for a perturbation displacing $W$ from itself. In contrast to
the existing results we can find a leafwise intersection point for a given
period but its energy varies by period instead.


title:
Carleman estimate for infinite cylindrical quantum domains and
  application to inverse problems

abstract:
  We consider the inverse problem of determining the time independent scalar
potential of the dynamic Schr\"odinger equation in an infinite cylindrical
domain, from one Neumann boundary observation of the solution. Assuming that
this potential is known outside some fixed compact subset of the waveguide, we
prove that it may be Lipschitz stably retrieved by choosing the Dirichlet
boundary condition of the system suitably. Since the proof is by means of a
global Carleman estimate designed specifically for the Schr\"odinger operator
acting in an unbounded cylindrical domain, the Neumann data is measured on an
infinitely extended subboundary of the cylinder.


title: Optimal control of crystallization of alpha-lactose monohydrate

abstract:
  We present a mathematical model for solvated crystallization of alpha
-lactose monohydrate in semi-batch mode. The process dynamics are governed by
conservation laws including population, molar and energy balance equations. We
present and discuss the model and then control the process with the goal to
privilege the production of small particles in specific the range. We compare
several specific and unspecific cost functions leading to optimal strategies
with significantly different effects on product quality. Control inputs are
temperature, feed rate, and the choice of an appropriate crystal seed.


title:
Optimal Fully Electric Vehicle load balancing with an ADMM algorithm in
  Smartgrids

abstract:
  In this paper we present a system architecture and a suitable control
methodology for the load balancing of Fully Electric Vehicles at Charging
Station (CS). Within the proposed architecture, control methodologies allow to
adapt Distributed Energy Resources (DER) generation profiles and active loads
to ensure economic benefits to each actor. The key aspect is the organization
in two levels of control: at local level a Load Area Controller (LAC) optimally
calculates the FEVs charging sessions, while at higher level a Macro Load Area
Aggregator (MLAA) provides DER with energy production profiles, and LACs with
energy withdrawal profiles. Proposed control methodologies involve the solution
of a Walrasian market equilibrium and the design of a distributed algorithm.


title:
A lattice non-perturbative definition of an SO(10) chiral gauge theory
  and its induced standard model

abstract:
  The standard model is a chiral gauge theory where the gauge fields couple to
the right-hand and the left-hand fermions differently. The standard model is
defined perturbatively and describes all elementary particles (except
gravitons) very well. However, for a long time, we do not know if we can have a
non-perturbative definition of standard model as a Hamiltonian quantum
mechanical theory. In this paper, we propose a way to give a modified standard
model (with 48 two-component Weyl fermions) a non-perturbative definition by
embedding the modified standard model into a SO(10) chiral gauge theory and
then putting the SO(10) chiral gauge theory on a 3D spatial lattice with a
continuous time. Such a non-perturbatively defined standard model is a
Hamiltonian quantum theory with a finite-dimensional Hilbert space for a finite
space volume. Using the defining connection between gauge anomalies and the
symmetry-protected topological orders, we show that any chiral gauge theory can
be non-perturbatively defined by putting it on a lattice in the same dimension,
as long as the chiral gauge theory is free of all anomalies.


title:
High-pT suppression and elliptic flow from radiative energy loss with
  realistic bulk medium expansion

abstract:
  We investigate nuclear suppression and elliptic flow in A+A reactions using
Gyulassy-Levai-Vitev (GLV) radiative energy loss with the covariant transport
MPC for bulk medium evolution. At both RHIC and LHC energies, we find that
inclusion of realistic transverse expansion for the medium strongly suppresses
elliptic flow at high p_T compared to calculations with longitudinal Bjorken
expansion only. We argue that this is a generic feature of GLV energy loss.
Transverse expansion also enhances the high-p_T suppression, while fluctuations
in energy loss with the rescattering location of the jet parton in the medium
lead to weaker suppression and smaller elliptic flow. However, unlike the
strong reduction of elliptic flow with transverse expansion, these latter
effects get nearly washed out once calculations are adjusted to reproduce R_AA
in central collisions.


title:
74 MHz Nonthermal Emission from Molecular Clouds: Evidence for a Cosmic
  Ray Dominated Region at the Galactic Center

abstract:
  We present 74 MHz radio continuum observations of the Galactic center region.
These measurements show nonthermal radio emission arising from molecular clouds
that is unaffected by free-free absorption along the line of sight. We focus on
one cloud, G0.13--0.13, representative of the population of molecular clouds
that are spatially correlated with steep spectrum
(alpha^{74MHz}_{327MHz}=1.3\pm0.3) nonthermal emission from the Galactic center
region. This cloud lies adjacent to the nonthermal radio filaments of the Arc
near l~0.2^0 and is a strong source of 74 MHz continuum, SiO (2-1) and FeI
Kalpha 6.4 keV line emission. This three-way correlation provides the most
compelling evidence yet that relativistic electrons, here traced by 74 MHz
emission, are physically associated with the G0.13--0.13 molecular cloud and
that low energy cosmic ray electrons are responsible for the FeI Kalpha line
emission. The high cosmic ray ionization rate ~10-13 s-1 H-1 is responsible for
heating the molecular gas to high temperatures and allows the disturbed gas to
maintain a high velocity dispersion. LVG modeling of multi-transition SiO
observations of this cloud implies H2 densities ~104-5 cm-3 and high
temperatures. The lower limit to the temperature of G0.13-0.13 is ~100K,
whereas the upper limit is as high as 1000K. Lastly, we used a time-dependent
chemical model in which cosmic rays drive the chemistry of the gas to
investigate for molecular line diagnostics of cosmic ray heating. When the
cloud reaches chemical equilibrium, the abundance ratios of HCN/HNC and
N2H+/HCO+ are consistent with measured values. In addition, significant
abundance of SiO is predicted in the cosmic ray dominated region of the
Galactic center. We discuss different possibilities to account for the origin
of widespread SiO emission detected from Galactic center molecular clouds.


title: N=1 extension of minimal model holography

abstract:
  The CFT dual of the higher spin theory with minimal N = 1 spectrum is
determined. Unlike previous examples of minimal model holography, there is no
free parameter beyond the central charge, and the CFT can be described in terms
of a non-diagonal modular invariant of the bosonic theory at the special value
of the 't Hooft parameter lambda=1/2. As evidence in favour of the duality we
show that the symmetry algebras as well as the partition functions agree
between the two descriptions.


title: Elasticity of cross-linked semiflexible biopolymers under tension

abstract:
  Aiming at the mechanical properties of cross-linked biopolymers, we set up
and analyze a model of two weakly bending wormlike chains subjected to a
tensile force, with regularly spaced inter-chain bonds (cross-links)
represented by harmonic springs. Within this model, we compute the
force-extension curve and the differential stiffness exactly and discuss
several limiting cases. Cross-links effectively stiffen the chain pair by
reducing thermal fluctuations transverse to the force and alignment direction.
The extra alignment due to cross-links increases both with growing number and
with growing strength of the cross-links, and is most prominent for small force
f. For large f, the additional, cross-link-induced extension is subdominant
except for the case of linking the chains rigidly and continuously along their
contour. In this combined limit, we recover asymptotically the elasticity of a
weakly bending wormlike chain without constraints, stiffened by a factor four.
The increase in differential stiffness can be as large as 100% for small f or
large numbers of cross-links.


title:
Radio-loud AGN: is there a link between luminosity and cluster
  environment?

abstract:
  We present here the first results from the Chandra ERA (Environments of
Radio-loud AGN) Large Project, characterizing the cluster environments of a
sample of 26 radio-loud AGN at z ~ 0.5 that covers three decades of radio
luminosity. This is the first systematic X-ray environmental study at a single
epoch, and has allowed us to examine the relationship between radio luminosity
and cluster environment without the problems of Malmquist bias. We have found a
weak correlation between radio luminosity and host cluster X-ray luminosity, as
well as tentative evidence that this correlation is driven by the subpopulation
of low-excitation radio galaxies, with high-excitation radio galaxies showing
no significant correlation. The considerable scatter in the environments may be
indicative of complex relationships not currently included in feedback models.


title: Coherently enhanced measurements in classical mechanics

abstract:
  We show that the recently discovered quantum-enhanced measurement protocol of
coherent averaging that is capable of achieving Heisenberg-limited sensitivity
without using entanglement, has a classical analogue. The classical protocol
uses N harmonic oscillators coupled to a central oscillator and one measures
the signal from the latter. We propose an application to the measurement of
very weak interactions, and, in particular, a novel route to measuring the
gravitational constant with enhanced precision.


title:
Hybridization of Otsu Method and Median Filter for Color Image
  Segmentation

abstract:
  In this article a novel algorithm for color image segmentation has been
developed. The proposed algorithm based on combining two existing methods in
such a novel way to obtain a significant method to partition the color image
into significant regions. On the first phase, the traditional Otsu method for
gray channel image segmentation were applied for each of the R,G, and B
channels separately to determine the suitable automatic threshold for each
channel. After that, the new modified channels are integrated again to
formulate a new color image. The resulted image suffers from some kind of
distortion. To get rid of this distortion, the second phase is arise which is
the median filter to smooth the image and increase the segmented regions. This
process looks very significant by the ocular eye. Experimental results were
presented on a variety of test images to support the proposed algorithm.


title: Shock waves in thermal lensing

abstract:
  We review experimental investigation on spatial shock waves formed by the
self-defocusing action of a laser beam propagation in a disordered thermal
nonlinear media.


title:
Moduli spaces of quadratic rational maps with a marked periodic point of
  small order

abstract:
  The surface corresponding to the moduli space of quadratic endomorphisms of
$\mathbb{P}^1$ with a marked periodic point of order $n$ is studied. It is
shown that the surface is rational over $\mathbb{Q}$ when $n\le 5$ and is of
general type for $n=6$.
  An explicit description of the $n=6$ surface lets us find several infinite
families of quadratic endomorphisms $f: \mathbb{P}^1 \to \mathbb{P}^1$ defined
over $\mathbb{Q}$ with a rational periodic point of order $6$. In one of these
families, $f$ also has a rational fixed point, for a total of at least $7$
periodic and $7$ preperiodic points. This is in contrast with the polynomial
case, where it is conjectured that no polynomial endomorphism defined over
$\mathbb{Q}$ admits rational periodic points of order $n>3$.


title:
Optical analogue of relativistic Dirac solitons in binary waveguide
  arrays

abstract:
  We study analytically and numerically an optical analogue of Dirac solitons
in binary waveguide arrays in presence of Kerr nonlinearity.
Pseudo-relativistic soliton solutions of the coupled-mode equations describing
dynamics in the array are analytically derived. We demonstrate that with the
found soliton solutions, the coupled mode equations can be converted into the
nonlinear relativistic 1D Dirac equation. This paves the way for using binary
waveguide arrays as a classical simulator of quantum nonlinear effects arising
from the Dirac equation, something that is thought to be impossible to achieve
in conventional (i.e. linear) quantum field theory.


title:
Relative Performance of Expected and Observed Fisher Information in
  Covariance Estimation for Maximum Likelihood Estimates

abstract:
  Maximum likelihood estimation is a popular method in statistical inference.
As a way of assessing the accuracy of the maximum likelihood estimate (MLE),
the calculation of the covariance matrix of the MLE is of great interest in
practice. Standard statistical theory shows that the normalized MLE is
asymptotically normally distributed with covariance matrix being the inverse of
the Fisher information matrix (FIM) at the unknown parameter. Two commonly used
estimates for the covariance of the MLE are the inverse of the observed FIM
(the same as the inverse Hessian of the negative log-likelihood) and the
inverse of the expected FIM (the same as the inverse FIM). Both of the observed
and expected FIM are evaluated at the MLE from the sample data. In this
dissertation, we demonstrate that, under reasonable conditions similar to
standard MLE conditions, the inverse expected FIM outperforms the inverse
observed FIM under a mean squared error criterion. Specifically, in an
asymptotic sense, the inverse expected FIM (evaluated at the MLE) has no
greater mean squared error with respect to the true covariance matrix than the
inverse observed FIM (evaluated at the MLE) at the element level. This result
is different from widely accepted results showing preference for the observed
FIM. In this dissertation, we present theoretical derivations that lead to the
conclusion above. We also present numerical studies on three distinct problems
to support the theoretical result. This dissertation also includes two
appendices on topics of relevance to stochastic systems. The first appendix
discusses optimal perturbation distributions for the simultaneous perturbation
stochastic approximation (SPSA) algorithm. The second appendix considers Monte
Carlo methods for computing FIMs when closed forms are not attainable.


title:
A forest-fire analogy to explain the b-value of the Gutenberg-Richter
  law for earthquakes

abstract:
  The Drossel-Schwabl model of forest fires can be interpreted in a coarse
grained sense as a model for the stress distribution in a single planar fault.
Fires in the model are then translated to earthquakes. I show that when a
second class of trees that propagate fire only after some finite time is
introduced in the model, secondary fires (analogous to aftershocks) are
generated, and the statistics of events becomes quantitatively compatible with
the Gutenberg Richter law for earthquakes, with a realistic value of the $b$
exponent. The change in exponent is analytically demonstrated in a simplified
percolation scenario. Experimental consequences of the proposed mechanism are
indicated.


title: Resistance of High-Temperature Cuprate Superconductors

abstract:
  Cuprate superconductors have many different atoms per unit cell. A large
fraction of cells (5-25%) must be modified ("doped") before the material
superconducts. Thus it is not surprising that there is little consensus on the
superconducting mechanism, despite almost 200,000 papers. Most astonishing is
that for the simplest electrical property, the resistance, "despite sustained
theoretical efforts over the past two decades, its origin and its relation to
the superconducting mechanism remain a profound, unsolved mystery." Currently,
model parameters used to fit normal state properties are experiment specific
and vary arbitrarily from one doping to the other. Here, we provide a
quantitative explanation for the temperature and doping dependence of the
resistivity, Hall effect, and magnetoresistance in one self-consistent model by
showing that cuprates are intrinsically inhomogeneous with a percolating
metallic region and insulating regions. Using simple counting of dopant-induced
plaquettes, we show that the superconducting pairing and resistivity are due to
phonons.


title:
Subsquares Approach - Simple Scheme for Solving Overdetermined Interval
  Linear Systems

abstract:
  In this work we present a new simple but efficient scheme - Subsquares
approach - for development of algorithms for enclosing the solution set of
overdetermined interval linear systems. We are going to show two algorithms
based on this scheme and discuss their features. We start with a simple
algorithm as a motivation, then we continue with a sequential algorithm. Both
algorithms can be easily parallelized. The features of both algorithms will be
discussed and numerically tested.


title: On Rational Closure in Description Logics of Typicality

abstract:
  We define the notion of rational closure in the context of Description Logics
extended with a tipicality operator. We start from ALC+T, an extension of ALC
with a typicality operator T: intuitively allowing to express concepts of the
form T(C), meant to select the "most normal" instances of a concept C. The
semantics we consider is based on rational model. But we further restrict the
semantics to minimal models, that is to say, to models that minimise the rank
of domain elements. We show that this semantics captures exactly a notion of
rational closure which is a natural extension to Description Logics of Lehmann
and Magidor's original one. We also extend the notion of rational closure to
the Abox component. We provide an ExpTime algorithm for computing the rational
closure of an Abox and we show that it is sound and complete with respect to
the minimal model semantics.


title: Colouring Isonemal Fabrics with more than two Colours by Thick Striping

abstract:
  Perfect colouring of isonemal fabrics by thin and thick striping of warp and
weft with more than two colours is introduced. Conditions that prevent perfect
colouring by striping are derived, and it is shown that avoiding them is
sufficient to allow it. Examples of thick striping in all possible species are
given.


title: Cohomology of the continuous hull of a combinatorial pentagonal tiling

abstract:
  In the article "Construction of the continuous hull for the combinatorics of
a regular pentagonal tiling of the plane" we constructed the continuous hull
for the combinatorics of "A regular pentagonal tiling of the plane", and in the
article "Continuous hull of a combinatorial pentagonal tiling as an inverse
limit" we showed how we could write this hull as an inverse limit. In this
paper we show how to compute the cohomology of the hull and its topological
K-theory.


title: MICZ-Kepler = dynamics on the cone over the rotation group

abstract:
  We show that the n-dimensional MICZ-Kepler system arises from symplectic
reduction of a simple mechanical system on the cone over the rotation group
SO(n). As a corollary we derive an elementary formula for its general solution.
The punch-line of our computation is that the additional MICZ-Kepler
$|\phi|^2/r^2$ type potential term is the rotational part of the cone's kinetic
energy.


title: An Operator Product Expansion for the Mutual Information in AdS/CFT

abstract:
  We investigate the behaviour of the mutual information $\mathcal{I}_{AB}$
between two "small" and wide separated spherical regions $A$ and $B$ in the
$\mathcal{N}=4$ SYM gauge theory dual to Type IIB string theory in $AdS_5
\times S^5$. To this end, the mutual information is recasted in terms of
correlators of surface operators $\mathcal{W}\left( \Sigma\right)$ defined
along a surface $\Sigma$ within the boundary gauge theory. This construction
relies on the strong analogies between the twist field operators appearing in
the replica trick method used for the computation of the entanglement entropy,
and the disorder-like surface operators in gauge theories. In the AdS/CFT
correspondence, a surface operator $\mathcal{W}\left( \Sigma\right)$
corresponds to having a D3-brane in $AdS_5 \times S^5$ ending on the boundary
along the prescribed surface $\Sigma$. Then, a long distance expansion for
$\mathcal{I}_{AB}$ is provided. The coefficients of the expansion appear as a
byproduct of the operator product expansion for the correlators of the
operators $\mathcal{W}(\Sigma)$ with the chiral primaries of the theory. We
find that, while undergoing a phase transition at a critical distance, the
holographic mutual information, instead of strictly vanishing, decays with a
power law whose leading contributions of order $\mathcal{O}(N^0)$, originate
from the exchange of pairs of the lightest bulk particles between $A$ and $B$.
These particles correspond to operators in the boundary field theory with the
smallest scaling dimensions.


title: Geometric Properties of Gelfand's Problems with Parabolic Approach

abstract:
  We consider the asymptotic profiles of the nonlinear parabolic flows
$$(e^{u})_{t}= \La u+\lambda e^u$$ to show the geometric properties of the
following elliptic nonlinear eigenvalue problems known as a Gelfand's problem:
\begin{equation*} \begin{split} \La \vp &+ \lambda e^{\vp}=0, \quad
\vp>0\quad\text{in $\Omega$}\\ \vp&=0\quad\text{on $\Omega$} \end{split}
  \end{equation*} posed in a strictly convex domain $\Omega\subset\re^n$. In
this work, we show that there is a strictly increasing function $f(s)$ such
that $f^{-1}(\vp(x))$ is convex for $0<\lambda\leq\lambda^{\ast}$, i.e., we
prove that level set of $\vp$ is convex. Moreover, we also present the boundary
condition of $\vp$ which guarantee the $f$-convexity of solution $\vp$.


title: Moduli or Not

abstract:
  Supersymmetry and string theory suggest the existence of light moduli. Their
presence, or absence, controls the realization of supersymmetry at low
energies. If there are no such fields, or if all such fields are fixed in a
supersymmetric fashion, the conventional thermal production of LSP dark matter
is possible, as is an anomaly-mediated ("mini-split") spectrum. On the other
hand, the axion solution to the strong CP problem is not operative, and slow
roll inflation appears difficult to implement. If there are light moduli, a
mini-split spectrum is less generic, WIMP dark matter appears atypical, and the
supersymmetry scale is likely tens of TeV or higher.


title: Two-Body Strong Decay of Z(3930) as the $\chi_{c2} (2P)$ State

abstract:
  The new particle Z(3930) found by the Belle and BaBar Collaborations through
the $\gamma\gamma\rightarrow D\bar D$ process is identified to be the
$\chi_{c2}(2P)$ state. Since the mass of this particle is above the $D\bar
D^{(\ast)}$ threshold, the OZI-allowed two-body strong decays are the main
decay modes. In this paper, these strong decay modes are studied with two
methods. One is the instantaneous Bethe-Salpeter method within Mandelstam
formalism. The other is the combination of the $^3P_0$ model and the former
formalism. The total decay widths are 26.3 and 27.3 MeV for the methods with or
without the $^3P_0$ vertex, respectively. The ratio of $\Gamma_{D\bar D}$ over
$\Gamma_{D\bar D^\ast}$ which changes along with the mass of the initial meson
is also presented.


title: Design study on very low Beta spoke cavity for China-ADS

abstract:
  Very low Beta superconducting spoke cavity is one of the key challenges for
China-ADS project. In this paper, a new structure of 3*Beta*lamda/2 spoke
cavity is first presented. Its RF and mechanical properties are simulated using
CST-MWS and ANSYS, and compared with the traditional Beta*lamda/2 spoke
structure.


title:
Entanglement at a Two-Dimensional Quantum Critical Point: a T=0
  Projector Quantum Monte Carlo Study

abstract:
  Although the leading-order scaling of entanglement entropy is non-universal
at a quantum critical point (QCP), sub-leading scaling can contain universal
behaviour. Such universal quantities are commonly studied in non-interacting
field theories, however it typically requires numerical calculation to access
them in interacting theories. In this paper, we use large-scale T=0 quantum
Monte Carlo simulations to examine in detail the second R\'enyi entropy of
entangled regions at the QCP in the transverse-field Ising model in 2+1
space-time dimensions -- a fixed point for which there is no exact result for
the scaling of entanglement entropy. We calculate a universal coefficient of a
vertex-induced logarithmic scaling for a polygonal entangled subregion, and
compare the result to interacting and non-interacting theories. We also examine
the shape-dependence of the R\'enyi entropy for finite-size toroidal lattices
divided into two entangled cylinders by smooth boundaries. Remarkably, we find
that the dependence on cylinder length follows a shape-dependent function
calculated previously by Stephan {\it et al.} [New J. Phys., 15, 015004,
(2013)] at the QCP corresponding to the 2+1 dimensional quantum Lifshitz free
scalar field theory. The quality of the fit of our data to this scaling
function, as well as the apparent cutoff-independent coefficient that results,
presents tantalizing evidence that this function may reflect universal
behaviour across these and other very disparate QCPs in 2+1 dimensional
systems.


title:
A Nested Dissection Approach to Modeling Transport in Nanodevices:
  Algorithms and Applications

abstract:
  Modeling nanoscale devices quantum mechanically is a computationally
challenging problem where new methods to solve the underlying equations are in
a dire need. In this paper, we present an approach to calculate the charge
density in nanoscale devices, within the context of the non equilibrium Greens
function approach. Our approach exploits recent advances in using an
established graph partitioning approach. The developed method has the
capability to handle open boundary conditions that are represented by full self
energy matrices required for realistic modeling of nanoscale devices. Our
method to calculate the electron density has a reduced complexity compared to
the established recursive Greens function approach. As an example, we apply our
algorithm to a quantum well superlattice and a carbon nanotube, which are
represented by a continuum and tight binding Hamiltonian respectively, and
demonstrate significant speed up over the recursive method.


title: The Strong Atiyah conjecture for virtually cocompact special groups

abstract:
  We provide new conditions for the Strong Atiyah conjecture to lift to finite
group extensions. In particular, we show cocompact special groups satisfy these
conditions, so the Strong Atiyah conjecture holds for virtually cocompact
special groups.


title: Some extremal problems for hereditary properties of graphs

abstract:
  This note answers extremal questions like: what is the maximum number of
edges in a graph of order n, which belongs to some hereditary property. The
same question is answered also for the spectral radius and other similar
parameters.


title: An analytic theory of extremal hypergraph problems

abstract:
  In this paper extremal problems for uniform hypergraphs are studied in the
general setting of hereditary properties. It turns out that extremal problems
about edges are particular cases of a general analyic problem about a recently
introduced graph parameter. The paper builds a basis for the systematic study
of this parameter and illustrates a range of various proof tools. It is shown
that extremal problems about the number of edges of uniform hypergraphs are
asymptotically equivalent to extremal problems about the largest eigenvalue;
this result is new even for 2-graphs. Several concrete problems are adressed
and solutions to many more are suggested. A number of open problems are raised
and directions for further studies are outlined.


title:
Maass relations for generalized Cohen-Eisenstein series of degree two
  and of degree three

abstract:
  The aim of this paper is to generalize the Maass relation for generalized
Cohen-Eisenstein series of degree two and of degree three. Here the generalized
Cohen-Eisenstein series are certain Siegel modular forms of half-integral
weight, and generalized Maass relations are certain relations among
Fourier-Jacobi coefficients of them.


title: On generalized Maass relations for the Miyawaki-Ikeda lift

abstract:
  Some generalizations of the Maass relation for Siegel modular forms of higher
degrees have been obtained by several authors. In the present article we first
give a new generalization of the Maass relation for Siegel-Eisenstein series of
arbitrary degrees. Furthermore, we show that the Duke-Imamoglu-Ibukiyama-Ikeda
lifts satisfy this generalized Maass relation with some modifications. As an
application of the generalized Maass relation in the present article we give a
new proof of the Miyawaki-Ikeda lifts of two elliptic modular forms. Namely, we
compute the standard L-function of the Miyawaki-Ikeda lifts of two elliptic
modular forms by using the generalized Maass relation.


title: On the spinor L-function of Miyawaki-Ikeda lifts

abstract:
  We consider lifts from two elliptic modular forms to Siegel modular forms of
odd degrees which are special cases of Miyawaki-Ikeda lifts. Assuming
non-vanishing of these Miyawaki-Ikeda lifts, we show that the spinor
L-functions of these Miyawaki-Ikeda lifts are products of some kind of
symmetric power L-functions determined by original two elliptic modular forms.


title:
Femtojoule-scale all-optical latching and modulation via cavity
  nonlinear optics

abstract:
  We experimentally characterize Hopf bifurcation phenomena at femtojoule
energy scales in a multi-atom cavity quantum electrodynamical (cavity QED)
system, and demonstrate how such behaviors can be exploited in the design of
all-optical memory and modulation devices. The data are analyzed using a
semiclassical model that explicitly treats heterogeneous coupling of atoms to
the cavity mode. Our results highlight the interest of cavity QED systems for
ultra-low power photonic signal processing as well as for fundamental studies
of mesoscopic nonlinear dynamics.


title:
Calculation of 1/m^{2}_{b} corrections to
  <\Lambda_{b}(v,s)|\bar{b}\gamma^{\lambda}\gamma_{5}b|\Lambda_{b}(v,s)> for
  polarized \Lambda_{b} in the Bethe-Salpeter equation approach

abstract:
  The heavy baryon \Lambda_{Q} (Q=b or c) can be regarded as composed of a
heavy quark and a scalar light diquark which has good spin and isospin quantum
numbers. In this picture we establish the Bethe-Salpeter (BS) equation for
\Lambda_{Q} to second order in the 1/m_{Q} expansion. With the kernel
containing both the scalar confinement and the one-gluon-exchange terms we
solve the BS equation numerically. The value of the spin-dependant form factor
for the matrix element
<\Lambda_{b}{(v,s)}|\bar{b}\gamma^{\lambda}\gamma_{5}b|\Lambda_{b}(v,s)>,
\epsilon_{b}, which is non-zero at order 1/m^{2}_{b}, is obtained numerically
from our model.


title:
Generalizing Negative Imaginary Systems Theory to Include Free Body
  Dynamics: Control of Highly Resonant Structures with Free Body Motion

abstract:
  Negative imaginary (NI) systems play an important role in the robust control
of highly resonant flexible structures. In this paper, a generalized NI system
framework is presented. A new NI system definition is given, which allows for
flexible structure systems with colocated force actuators and position sensors,
and with free body motion. This definition extends the existing definitions of
NI systems. Also, necessary and sufficient conditions are provided for the
stability of positive feedback control systems where the plant is NI according
to the new definition and the controller is strictly negative imaginary. The
stability conditions in this paper are given purely in terms of properties of
the plant and controller transfer function matrices, although the proofs rely
on state space techniques. Furthermore, the stability conditions given are
independent of the plant and controller system order. As an application of
these results, a case study involving the control of a flexible robotic arm
with a piezo-electric actuator and sensor is presented.


title:
Normal Subgroups, Center and Inner Automorphisms of Compact Quantum
  Groups

abstract:
  We introduce a class of automorphisms of compact quantum groups which may be
thought of as inner automorphisms and explore the behaviour of normal subgroups
of compact quantum groups under these automorphisms. We also define the notion
of center of a compact quantum group and compute the center for several
examples. We briefly touch upon the commutator subgroup of a compact quantum
group and discuss how its relation with the center can be different from the
classical case.


title: Vector ultrametric spaces and a fixed point theorem for correspondences

abstract:
  In this paper, vector ultrametric spaces are introduced and a fixed point
theorem is given for correspondences. Our main result generalizes a known
theorem in ordinary ultrametric spaces.


title: Random Linear Network Codes for Secrecy over Wireless Broadcast Channels

abstract:
  We consider a set of $n$ messages and a group of $k$ clients. Each client is
privileged for receiving an arbitrary subset of the messages over a broadcast
erasure channel, which generalizes scenario of a previous work. We propose a
method for secretly delivering each message to its privileged recipients in a
way that each receiver can decode its own messages but not the others'. Our
method is based on combining the messages using linear network coding and
hiding the decoding coefficients from the unprivileged clients. We provide an
information theoretic proof for the secrecy of the proposed method. In
particular we show that an unprivileged client cannot obtain any meaningful
information even if it holds the entire set of coded data packets transmitted
over the channel. Moreover, in our method, the decoding complexity is desirably
low at the receiver side.


title:
Robustness of quantum communication based on a decoherence-free subspace
  using a counter-propagating weak coherent light pulse

abstract:
  We study distribution schemes for a polarization entangled photon pair based
on a decoherence-free subspace over lossy quantum channels and propose an
efficient scheme that is robust against not only collective phase noises but
also general collective noises for two qubits. While the proposed scheme
employs two photons to build the decoherence-free subspace, the success
probability is proportional to the channel transmittance of a single photon
with the aid of a counter-propagating weak coherent light pulse. The key
ingredient in the scheme is found to be the reciprocity of the channel. The
proposed scheme shares the rest of the properties with the previously proposed
schemes, i.e., it can be realized by linear optical elements and it is robust
against the fluctuations in the optical circuits used by the two parties.


title: An isogeometric analysis for elliptic homogenization problems

abstract:
  A novel and efficient approach which is based on the framework of
isogeometric analysis for elliptic homogenization problems is proposed. These
problems possess highly oscillating coefficients leading to extremely high
computational expenses while using traditional finite element methods. The
isogeometric analysis heterogeneous multiscale method (IGA-HMM) investigated in
this paper is regarded as an alternative approach to the standard Finite
Element Heterogeneous Multiscale Method (FE-HMM) which is currently an
effective framework to solve these problems. The method utilizes non-uniform
rational B-splines (NURBS) in both macro and micro levels instead of standard
Lagrange basis. Beside the ability to describe exactly the geometry, it
tremendously facilitates high-order macroscopic/microscopic discretizations
thanks to the flexibility of refinement and degree elevation with an arbitrary
continuity level provided by NURBS basis functions. A priori error estimates of
the discretization error coming from macro and micro meshes and optimal micro
refinement strategies for macro/micro NURBS basis functions of arbitrary orders
are derived. Numerical results show the excellent performance of the proposed
method.


title:
Impact of mesoscale eddies on water transport between the Pacific Ocean
  and the Bering Sea

abstract:
  Sea surface height anomalies observed by satellites in 1993--2012 are
combined with simulation and observations by surface drifters and Argo floats
to study water flow pattern in the Near Strait (NS) connected the Pacific Ocean
with the Bering Sea. Daily Lagrangian latitudinal maps, computed with the AVISO
surface velocity field, and calculation of the transport across the strait show
that the flow through the NS is highly variable and controlled by mesoscale and
submesoscale eddies in the area. On the seasonal scale, the flux through the
western part of the NR is negatively correlated with the flux through its
eastern part ($r=-0.93$). On the interannual time scale, a significant positive
correlation ($r=0.72$) is diagnosed between the NS transport and the wind
stress in winter. Increased southward component of the wind stress decreases
the northward water transport through the strait. Positive wind stress curl
over the strait area in winter--spring generates the cyclonic circulation and
thereby enhances the southward flow in the western part ($r=-0.68$) and
northward flow in the eastern part ($r=0.61$) of the NR. In fall, the water
transport in different parts of the NS is determined by the strength of the
anticyclonic mesoscale eddy located in the Alaskan Stream area.


title:
A Comment on the Origin of Conductance Dips at Finite Bias in Andreev
  Reflection Spectroscopy Data

abstract:
  In an experimental study of Andreev reflection (AR) in normal
metal/superconductor (N-S) devices featuring a superconducting topological
insulator CuxBi2Se3 [arXiv:1301.1030], Peng et. al. reported the reproducible
experimental observation of archetypical double-peak AR spectra for finite
barrier strength in N-S junctions, which clearly indicates the absence of
zero-energy peak in density of states and thus rules out theoretically
predicted zero-energy Majorana fermions in CuxBi2Se3. This report casts doubt
on previous claims of CuxBi2Se3 as a topological superconductor. Here we
clarify an inaccurate understanding which claims that no spectroscopic
information can be extracted from N-S point-contacts showing conductance dips
at finite bias. Such a clarification of the origin of conductance dips in AR
spectra is important for future research in this field.


title: Chameleon dark matter stars

abstract:
  We consider static, spherically symmetric equilibrium configurations
consisting of fermionic dark matter nonminimally coupled to dark energy in the
form of a quintessence scalar field. With the scalar field coupling function,
the form of which is taken to meet cosmological observations, we estimate the
effect of such a nonminimal coupling on the properties of dark matter compact
configurations. We show that the masses and sizes of the resulting chameleon
dark matter stars are smaller than those of systems with no field present.


title:
Study of Ni and Zn doped CeOFeAs: Effect on the structural transition
  and specific heat capacity

abstract:
  We have systematically studied the substitution of nonmagnetic Zn and
magnetic Ni at iron sites in Ce based oxypnictide. The parent compound
(CeOFeAs) shows an anomaly in resistivity around 150 K due to structural
transition from tetragonal (space group: P4/nmm) to orthorhombic structure
(space group: Cmma). Substitution of Zn suppresses this anomaly to lower
temperature (~130 K) but Ni substitution does not show any anomaly around this
temperature and the compound behaves like a metal. Further, we find that non
magnetic (Zn) doping leads to higher impurity scattering as compared to
magnetic Ni doping. Similar to the resistivity measurement, the specific heat
shows another jump near 4 K for CeOFeAs. This is attributed to the ordering of
Ce3+ moments. This peak shifts to 3.8 K for Zn substituted compound and there
is no change in the ordering temperature in the Ni substituted CeOFeAs. These
peaks are broadened in applied magnetic field (5 T) and the calculated magnetic
entropy tends to saturate at the same value for 0 T and 5 T external magnetic
field.


title: Graphs with large generalized (edge-)connectivity

abstract:
  The generalized $k$-connectivity $\kappa_k(G)$ of a graph $G$, introduced by
Hager in 1985, is a nice generalization of the classical connectivity.
Recently, as a natural counterpart, we proposed the concept of generalized
$k$-edge-connectivity $\lambda_k(G)$. In this paper, graphs of order $n$ such
that $\kappa_k(G)=n-\frac{k}{2}-1$ and $\lambda_k(G)=n-\frac{k}{2}-1$ for even
$k$ are characterized.