title: Difficult Sudoku Puzzles Created by Replica Exchange Monte Carlo Method

abstract:
  An algorithm to create difficult Sudoku puzzles is proposed. An Ising
spin-glass like Hamiltonian describing difficulty of puzzles is defined, and
difficult puzzles are created by minimizing the energy of the Hamiltonian. We
adopt the replica exchange Monte Carlo method with simultaneous temperature
adjustments to search lower energy states efficiently, and we succeed in
creating a puzzle which is the world hardest ever created in our definition, to
our best knowledge. (Added on Mar. 11, the created puzzle can be solved easily
by hand. Our definition of the difficulty is inappropriate.)


title:
Fermi LAT Study of the Cosmic-rays and the Interstellar Medium in Nearby
  Molecular Clouds

abstract:
  We report an analysis of the interstellar gamma-ray emission from nearby
molecular clouds Chamaeleon, R Coronae Australis (R CrA), and Cepheus and
Polaris flare regions with the {\it Fermi} Large Area Telescope (LAT). They are
among the nearest molecular cloud complexes, within $\sim$ 300 pc from the
solar system. The gamma-ray emission produced by interactions of cosmic-rays
(CRs) and interstellar gas in those molecular clouds is useful to study the CR
densities and distributions of molecular gas close to the solar system. The
obtained gamma-ray emissivities from 250 MeV to 10 GeV for the three regions
are about (6--10) $\times$ 10$^{-27}$ photons s$^{-1}$ sr$^{-1}$ H-atom$^{-1}$,
indicating a variation of the CR density by $\sim$ 20% even if we consider the
systematic uncertainties. The molecular mass calibration ratio, $X_{\rm CO} =
N{\rm (H_2)}/W_{\rm CO}$, is found to be about (0.6--1.0) $\times$ 10$^{20}$
H$_2$-molecule cm$^{-2}$ (K km s$^{-1}$)$^{-1}$ among the three regions,
suggesting a variation of $X_{\rm CO}$ in the vicinity of the solar system.
From the obtained values of $X_{\rm CO}$, we calculated masses of molecular gas
traced by \Wco\ in these molecular clouds. In addition, similar amounts of dark
gas at the interface between the atomic and molecular gas are inferred.


title:
V496 Scuti: Detection of CO emission and dust shell in a moderately fast
  Fe II nova

abstract:
  We present near-infrared and optical observations of moderately fast
FeII-class Nova Scuti 2009 (V496 Sct) covering various phases; pre-maximum,
early decline and nebular, during the first 10 months after its discovery
followed by limited observations up to 2011 April. In the initial phase the
nova spectra show prominent P Cygni profiles and later all the lines are seen
in emission. The notable feature of the near-IR spec- tra in the early decline
phase is the rare presence of the first overtone bands of carbon monoxide (CO)
in emission. The IR spectra show clear dust formation in the expand- ing ejecta
at later phase about 150 days after the peak brightness. The presence of lines
of elements with low ionization potentials like Na and Mg in the early IR
spectra and the detection of CO bands in emission and the dust formation in
V496 Sct represents a complete expected sequence in the dust formation in nova
ejecta. The light curve shows a slow rise to the maximum and a slow decline
indicating a prolonged mass loss. This is corroborated by the strengthening of
P Cygni profiles during the first 30 days. The broad and single absorption
components seen in many lines in the optical spectra at the time of discovery
are replaced by two sharper components in the spectra taken close to the
optical maximum brightness. These sharp dips seen in the P Cygni absorption
components of Fe II and H I lines during the early decline phase show
increasing outflow velocities. The onset of the nebular phase is evident from
the optical spectra in 2010 March. During the nebular phase, several emission
lines display saddle-like profiles. In the nebular stage, the observed fluxes
of [O III] and H lines are used to estimate the electron number densities and
the mass of the ejecta. The optical spectra show that the nova is evolved in
the P_fe A_o spectral sequence.


title: Characteristic classes of flags of foliations and Lie algebra cohomology

abstract:
  We prove the conjecture by Feigin, Fuchs and Gelfand describing the Lie
algebra cohomology of formal vector fields on an $n$-dimensional space with
coefficients in symmetric powers of the coadjoint representation. We also
compute the cohomology of the Lie algebra of formal vector fields that preserve
a given flag at the origin. The latter encodes characteristic classes of flags
of foliations and was used in the formulation of the local Riemann-Roch Theorem
by Feigin and Tsygan.
  Feigin, Fuchs and Gelfand described the first symmetric power and to do this
they had to make use of a fearsomely complicated computation in invariant
theory. By the application of degeneration theorems of appropriate
Hochschild-Serre spectral sequences we avoid the need to use the methods of
FFG, and moreover we are able to describe all the symmetric powers at once.


title: The Inherent Randomness of Evolving Populations

abstract:
  The entropy rates of the Wright-Fisher process, the Moran process, and
generalizations are computed and used to compare these processes and their
dependence on standard evolutionary parameters. Entropy rates are measures of
the variation dependent on both short-run and long-run behavior, and allow the
relationships between mutation, selection, and population size to be examined.
Bounds for the entropy rate are given for the Moran process (independent of
population size) and for the Wright-Fisher process (bounded for fixed
population size). A generational Moran process is also presented for comparison
to the Wright-Fisher Process. Results include analytic results and
computational extensions.


title:
Effects of Planar Periodic Stratified Chiral Nihility Structures on
  Reflected and Transmitted Powers

abstract:
  Behavior of planar multilayer periodic structures due to plane wave
excitation has been studied using the transfer matrix method. Multilayer
structure is taken with periodicity two. That is, layers at even and odd
locations repeat themselves. Layers at odd locations are of chiral nihility
metamaterial whereas three different cases for layers at even locations are
considered, i.e., dielectric, chiral and chiral nihility. Effects of
polarization rotation due to the optical activity is studied with respect to
the angle of incidence and frequency in terahertz domain. Chiral nihility
introduces property of transparency to the structure for normal incidence while
complete rejection is observed for chiral nihility-chiral nihility structure at
oblique incidence.


title:
Relativistic hydrodynamics from Boltzmann equation with modified
  collision term

abstract:
  Generalizing the collision term in the relativistic Boltzmann equation to
include nonlocal effects, and using Grad's 14-moment approximation for the
single-particle distribution function, we derive evolution equations for the
relativistic dissipative fluid dynamics and compare them with the corresponding
equations obtained in the standard Israel-Stewart and related approaches.
Significance of this generalization on hydrodynamic evolution is demonstrated
in the framework of one-dimensional scaling expansion.


title: Optical Spectrophotometric Monitoring of Fermi/LAT Bright Sources

abstract:
  We describe an ongoing optical spectrophotometric monitoring program of a
sample of Fermi/LAT bright sources showing prominent and variable {\gamma}-ray
emission, with the 2.1m telescope at Observatorio Astrof\'isico Guillermo Haro
(OAGH) located in Cananea, Sonora, M\'exico. Our sample contains 11 flat
spectrum radio quasars (FSRQ) and 1 Narrow Line Seyfert 1 (NLSy1) galaxy. Our
spectroscopic campaign will allow us to study the spectroscopic properties
(FWHM, EW, flux) of broad-emission lines in the optical (e.g. H{\beta}) and
mid-UV (e.g. Mg II {\lambda}2800) regimes, depending on the redshift of the
source. The cadence of the broad emission lines monitoring is about five nights
per month which in turn will permit us to explore whether there is a correlated
variability between broad emission line features and high levels of
{\gamma}-ray emission.


title: On the shape of a lightweight drop on a horizontal plane

abstract:
  The shape of drop on a flat horizontal plane is obtained by including the
first order of correction by the weight. The sphere solution of the weightless
drop is used to introduce a new polar coordinate by which the perturbative
expression for a region of a drop can be extended analytically to the entire
surface of a drop having both the concave and the convex parts. Comparison with
experimental data are presented.


title: On the distance control problem in Ricci flows

abstract:
  We show that the distance function under the Ricci flow is uniformly
continuous in the time direction, assuming only the scalar curvature is
bounded.


title: Electrically tunable two-channel Kondo fixed points in helical liquids

abstract:
  We study a quantum dot coupled to two edge states of a quantum spin Hall
insulator through electron tunnelings in the presence of a Rashba spin-orbital
interaction induced by an external electric field. We show that if the electron
interactions on the edge states are repulsive, there are two possible phases,
depending on the Luttinger liquid parameter $K$. For $1/2<K<1$, the
low-temperature physics is controlled by a previously identified two-channel
Kondo fixed point. For the edge states with even stronger repulsive
interactions, i.e. $1/4<K<1/2$, the system reaches another phase at low
temperatures, described by a new two-channel Kondo fixed point. This phase is
separated from the original one by a continuous phase transition upon varying
the value of $K$ through the external electric field. The corresponding
critical point is described by a free Dirac fermion backscattered by a local
potential. We investigate the low-temperature properties associated with this
new fixed point and also discuss the scaling behaviors of the system at the
critical point.


title:
Crossover from Electromagnetically Induced Transparency to Autler-Townes
  Splitting in Open V-Type Molecular Systems

abstract:
  We investigate electromagnetically induced transparency (EIT) and
Autler-Townes splitting(ATS) in an open V-type molecular system. Through
detailed analytical calculations on the absorption spectrum of probe laser
field by using residue theorem and spectrum decomposition, we find that EIT may
occur and there exists a crossover from EIT to ATS (i.e. EIT-ATS crossover) for
hot molecules. However, there is no EIT and hence no EIT-ATS crossover for cold
molecules. Furthermore, we prove that for hot molecules EIT is allowed even for
a counter-propagating configuration. We provide explicit formulas of EIT
conditions and widths of EIT transparency windows of probe field when hot
molecules work in co-propagating and counter-propagating configurations,
respectively. Our theoretical result agrees well with the recent experimental
one reported by Lazoudis et al. [Phys. Rev. A 83, 063419 (2011)].


title:
A Multiwavelength Cross-Correlation Variability Study of Fermi-LAT
  Blazars

abstract:
  We carried out a multiwavelength cross-correlation analysis of a sample of 16
blazars detected by Fermi/LAT. The purpose is to investigate if there exists
correlations between the distinct bands we analyze in this work. We searched
for cross-correlated delays between emissions in optical, near-infrared and
{\gamma}-ray bands for 16 blazars detected by Fermi-LAT, using three methods
previously discussed in the literature: the interpolated cross-correlation
function, the discrete cross-correlation function and the Z-transformed
discrete cross-correlation function. Our results confirm the expectation that
in all our sample the four NIR bands vary simultaneously. For three objects of
our sample (3C 273, Mrk 501, and PMN J0808-0751), no correlation is found
between any of the bands available for this study. For the remaining thirteen,
a correlation was found between the V band and the NIR bands, indicating that
in most of them the V band and the NIR bands vary simultaneously. For 4 objects
(3C 454.3, PKS 0235+164, PKS 1510-089, and PKS 2155-304) a delayed correlation
between the {\gamma}-ray emission and the NIR+V bands was found.


title:
Spin Relaxation in Weak Localization Regime in Multilayer Graphene Spin
  Valves

abstract:
  The temperature dependence of the spin relaxation time in multilayer graphene
(MLG) spin valve devices was measured using a non-local magnetoresistance
(NLMR) measurement. A weak localization (WL) was observed from
magnetoresistance (MR) measurements below 70 K, suggesting coherent transport
of the charge carriers. Within the same temperature range, we observed a large
increase in the spin relaxation time and spin diffusion length even though the
diffusion constant Ds was suppressed by the WL. This demonstrated that the spin
relaxation time in MLG could be significantly extended when the charge
experiences quantum interference effect in the coherent charge transport
regime.


title: Electroweak Precision Tests On the MSSM and NMSSM Constrained at the LHC

abstract:
  Following previous works regarding electroweak precision tests in
supersymmetry, we continue to explore their implications to the MSSM and NMSSM
both of which are tightly constrained by the Higgs mass and its decay
experiments at the LHC. We adopt universal squark, slepton mass of three
generations, and A-term of all SM fermions. We determine the flows of both MSSM
and NMSSM in the $S$-$T$ plane with increasing $\tan\beta$ and/or
$\gamma\gamma$ rate. Either increasing the value of $R_{\gamma}$ or
$\tan\beta$, we find that the benchmark points tend to be pushed outside the
contour at 99% CL in the MSSM, however, conversely they tend to shrink towards
to the SM reference point in the NMSSM. In particular, $\tan\beta\gtrsim 50$ is
excluded at 99% CL by the EWPTs for the MSSM due to this behavior. This
behavior is also useful to distinguish the NMSSM from the MSSM. A byproduct is
that the contributions coming from the neutralinos and charginos should be more
suppressed in the MSSM in comparison with the NMSSM.


title:
Differences in tension and compression in the nonlinearly elastic
  bending of beams

abstract:
  The classical flexure problem of non-linear incompressible elasticity is
revisited for elastic materials whose mechanical response is different in
tension and compression---the so-called bimodular materials. The flexure
problem is chosen to investigate this response since the two regions, one of
tension and one of compression, can be identified easily using simple
intuition. Two distinct problems are considered: the first is where the stress
is assumed continuous across the boundary of the two regions, which assumption
has a sound physical basis. The second problem considered is more speculative:
it is where discontinuities of stress are allowed. It is shown that such
discontinuities are necessarily small for many applications, but might
nonetheless provide an explanation for the damage incurred by repeated flexure.
Some experimental evidence of the possibility of bimodularity in elastomers is
also presented.


title: On the Abaqus FEA model of finite viscoelasticity

abstract:
  Predictions of the QLV (Quasi-Linear Viscoelastic) constitutive law are
compared with those of the ABAQUS viscoelastic model for two simple motions in
order to highlight, in particular, their very different dissipation rates and
certain shortcomings of the ABAQUS model.


title:
Re-interpretations of an experiment on the back-action in a weak
  measurement

abstract:
  Interpretations of an experiment on the back-action in a weak measurement in
[M. Iinuma et al., New J. Phys. vol.13 (2011), 033041] are revisited. We show
two different but essentially equivalent interpretations for this experiment
along the original scenario of weak measurements proposed by Aharonov, Albert,
and Vaidman. To do this, we introduce the notion of extended weak values which
is associated not only with the states of the system but also the state of the
measuring device. We also evaluate fluctuations in this experiment and found
that an optimal measurement strength exists for a fixed polarization angle
prepared as an initial state, at which fluctuations in measurement results
vanish. The consistency of this evaluation with the experimental results is
discussed.


title:
Localization of protein aggregation in Escherichia coli is governed by
  diffusion and nucleoid macromolecular crowding effect

abstract:
  Aggregates of misfolded proteins are a hallmark of many age-related diseases.
Recently, they have been linked to aging of Escherichia coli (E. coli) where
protein aggregates accumulate at the old pole region of the aging bacterium.
Because of the potential of E. coli as a model organism, elucidating aging and
protein aggregation in this bacterium may pave the way to significant advances
in our global understanding of aging. A first obstacle along this path is to
decipher the mechanisms by which protein aggregates are targeted to specific
intercellular locations. Here, using an integrated approach based on
individual-based modeling, time-lapse fluorescence microscopy and automated
image analysis, we show that the movement of aging-related protein aggregates
in E. coli is purely diffusive (Brownian). Using single-particle tracking of
protein aggregates in live E. coli cells, we estimated the average size and
diffusion constant of the aggregates. Our results evidence that the aggregates
passively diffuse within the cell, with diffusion constants that depend on
their size in agreement with the Stokes-Einstein law. However, the aggregate
displacements along the cell long axis are confined to a region that roughly
corresponds to the nucleoid-free space in the cell pole, thus confirming the
importance of increased macromolecular crowding in the nucleoids. We thus used
3d individual-based modeling to show that these three ingredients (diffusion,
aggregation and diffusion hindrance in the nucleoids) are sufficient and
necessary to reproduce the available experimental data on aggregate
localization in the cells. Taken together, our results strongly support the
hypothesis that the localization of aging-related protein aggregates in the
poles of E. coli results from the coupling of passive diffusion- aggregation
with spatially non-homogeneous macromolecular crowding. They further support
the importance of "soft" intracellular structuring (based on macromolecular
crowding) in diffusion-based protein localization in E. coli.


title: Quatum Thermodynamics and the coherence in Ion channels

abstract:
  We showed that quantum mechanical superposition can sustain in the process of
ion transfer in protein membrane for a substantial period, in spite of the
presence of the interactions with environmental modes of molecular vibration.
The spectral temperature, as defined in quantum thermodynamical framework plays
a significant role in maintaining the coherence. The ratio of decoherence time
and dwell time has been calculated, which can be directly related to the degree
of coherence. The results shead new light to build quantum information system
of entangled ionic states in the voltage gated biological channels.


title:
A Generalized Power-Law Diagnostic for Infrared Galaxies at z>1: Active
  Galactic Nuclei and Hot Interstellar Dust

abstract:
  I present a generalized power-law diagnostic that allows to identify the
presence of active galactic nuclei (AGN) in infrared (IR) galaxies at z>1, down
to flux densities at which the extragalactic IR background is mostly resolved.
I derive this diagnostic from the analysis of 174 galaxies with Snu(24)>80
microJy and spectroscopic redshifts zspec>1 in the Chandra Deep Field South,
for which I study the rest-frame UV/optical/near-IR spectral energy
distributions (SEDs), after subtracting a hot-dust, power-law component with
three possible spectral indices alpha=1.3, 2.0 and 3.0. I obtain that 35% of
these 24micron sources are power-law composite galaxies (PLCGs), which I define
as those galaxies for which the SED fitting with stellar templates, without any
previous power-law subtraction, can be rejected with >2sigma confidence.
Subtracting the power-law component from the PLCG SEDs produces stellar-mass
correction factors <1.5 in >80% of cases. The PLCG incidence is especially high
(47%) at z=1.0-1.5. To unveil which PLCGs host AGN, I conduct a combined
analysis of 4Ms X-ray data, galaxy morphologies, and a greybody modelling of
the hot dust. I find that: 1) 77% of all the X-ray AGN in my 24micron sample at
z=1.0-1.5 are recognised by the PLCG criterion; 2) PLCGs with alpha=1.3 or 2.0
have regular morphologies and T_dust >~1000 K, indicating nuclear activity.
Instead, PLCGs with alpha=3.0 are characterised by disturbed galaxy dynamics,
and a hot interstellar medium can explain their dust temperatures T_dust
~700-800 K. Overall, my results indicate that the fraction of AGN among 24
micron sources is between ~30% and 52% at z=1.0-1.5.


title:
Anisotropic Current-Controlled Magnetization Reversal in the
  Ferromagnetic Semiconductor (Ga,Mn)As

abstract:
  Electrical current manipulation of magnetization switching through
spin-orbital coupling in ferromagnetic semiconductor (Ga,Mn)As Hall bar devices
has been investigated. The efficiency of the current-controlled magnetization
switching is found to be sensitive to the orientation of the current with
respect to the crystalline axes. The dependence of the spin-orbit effective
magnetic field on the direction and magnitude of the current is determined from
the shifts in the magnetization switching angle. We find that the strain
induced effective magnetic field is about three times as large as the Rashba
induced magnetic field in our GaMnAs devices.


title: Influence of symmetry on Sm magnetism studied on SmIr2Si2 polymorphs

abstract:
  Polycrystalline samples of SmIr2Si2 formed at room temperature both the low
temperature phase (LTP) and the metastable high temperature phase (HTP),
respectively, depending on the heat treatment. The samples were studied by
X-ray powder diffraction, DTA, specific-heat and magnetization measurements
with respect to temperature and magnetic field. The first order LTP to HTP
polymorphic phase transition has been determined showing the huge temperature
hysteresis of 264{\deg}C caused by the high energy barrier due to the change of
stacking of Sm, Ir and Si basal plane sheets within the transition. Both
polymorphs show indications of antiferromagnetic order at low temperatures. The
considerably different magnetic phase transitions determined for the LTP and
HTP confirm the strong influence of crystal structure symmetry on magnetism in
the two polymorphs. The magnetism in SmIr2Si2 exhibits typical features caused
by the specific behavior of Sm3+ ion characterized by energy nearness of the
ground state and first excited state and crystal field influence.
Interpretation of experimental results is corroborated by results of ab initio
electronic structure calculations.


title: Time-frequency analysis and Harmonic Gaussian Functions

abstract:
  A method for time-frequency analysis is given. The approach utilizes
properties of Gaussian distribution, properties of Hermite polynomials and
Fourier analysis. We begin by the definitions of a set of functions called
harmonic Gaussian functions. Then these functions are used to define a set of
transformations,noted T_n, which associate to a function {\psi},of the time
variable t, a set of functions {\Psi}_n which depend on time, frequency and
frequency (or time) standard deviation. Some properties of the transformations
T_n and the functions {\Psi}_n are given. It is proved in particular that the
square of the modulus of each function {\Psi}_n can be interpreted as a
representation of the energy distribution of the signal, represented by the
function {\psi}, in the time-frequency plane for a given value of the frequency
(or time) standard deviation. It is also shown that the function {\psi}, can be
recovered from the functions{\Psi}_n.


title: A tale of two surfaces

abstract:
  We point out a link between two surfaces which have appeared recently in the
literature: the surface of cuboids and the Schoen surface. Both surfaces give
rise to a surface with q=4, whose canonical map is 2-to-1 onto an intersection
of 4 quadrics in P^6 with 48 nodes.


title:
Multiuser MISO Beamforming for Simultaneous Wireless Information and
  Power Transfer

abstract:
  Simultaneous wireless information and power transfer (SWIPT) is anticipated
to have abundant applications in future machine or sensor based wireless
networks by providing wireless data and energy access at the same time. In this
paper, we study a multiuser multiple-input single-output (MISO) broadcast SWIPT
system, where a multi-antenna access point (AP) sends information and energy
simultaneously via spatial multiplexing to multiple single-antenna receivers
each of which implements information decoding (ID) or energy harvesting (EH).
Since EH receivers in practice operate with considerably higher received power
than ID receivers, we propose a receiver location based transmission
scheduling, where receivers that are close to the AP are scheduled for EH while
those more distant from the AP for ID. We aim to maximize the weighted
sum-power transferred to all EH receivers subject to a given set of minimum
signal-to-interference-and-noise ratio (SINR) constraints at different ID
receivers. In particular, we consider two types of ID receivers (referred to as
Type I and Type II, respectively) without or with the capability of cancelling
the interference from (a priori known) energy signals. For each type of ID
receivers, we formulate the joint information and energy transmit beamforming
design as a non-convex quadratically constrained quadratic program (QCQP).
First, we obtain the globally optimal solutions for our formulated QCQPs by
applying an optimization technique so-called semidefinite relaxation (SDR). It
is shown via SDR that no dedicated energy beam is needed for Type I ID
receivers to achieve the optimal solution; while for Type II ID receivers,
employing no more than one energy beam is optimal. Next, we establish a new
form of the celebrated uplink-downlink duality to develop alternative
algorithms to obtain the same optimal solutions as SDR.


title:
Competitive-Ratio Approximation Schemes for Minimizing the Makespan in
  the Online-List Model

abstract:
  We consider online scheduling on multiple machines for jobs arriving
one-by-one with the objective of minimizing the makespan. For any number of
identical parallel or uniformly related machines, we provide a
competitive-ratio approximation scheme that computes an online algorithm whose
competitive ratio is arbitrarily close to the best possible competitive ratio.
We also determine this value up to any desired accuracy. This is the first
application of competitive-ratio approximation schemes in the online-list
model. The result proves the applicability of the concept in different online
models. We expect that it fosters further research on other online problems.


title:
Design and Development of Artificial Neural Networking (ANN) system
  using sigmoid activation function to predict annual rice production in
  Tamilnadu

abstract:
  Prediction of annual rice production in all the 31 districts of Tamilnadu is
an important decision for the Government of Tamilnadu. Rice production is a
complex process and non linear problem involving soil, crop, weather, pest,
disease, capital, labour and management parameters. ANN software was designed
and developed with Feed Forward Back Propagation (FFBP) network to predict rice
production. The input layer has six independent variables like area of
cultivation and rice production in three seasons like Kuruvai, Samba and Kodai.
The popular sigmoid activation function was adopted to convert input data into
sigmoid values. The hidden layer computes the summation of six sigmoid values
with six sets of weightages. The final output was converted into sigmoid values
using a sigmoid transfer function. ANN outputs are the predicted results. The
error between original data and ANN output values were computed. A threshold
value of 10-9 was used to test whether the error is greater than the threshold
level. If the error is greater than threshold then updating of weights was done
all summations were done by back propagation. This process was repeated until
error equal to zero. The predicted results were printed and it was found to be
exactly matching with the expected values. It shows that the ANN prediction was
100% accurate.


title: Lorentz invariance without trans-Planckian physics?

abstract:
  We explore the possibility that, in a quantum field theory with Planck scale
cutoff Lambda=Mp, observable quantities for low-energy processes respect the
Lorentz symmetry. In particular, we compute the one-loop radiative correction
Pi to the self-energy of a scalar field with lambda phi^4 interaction, using a
modified (non-invariant) propagator which vanishes in the trans-Planckian
regime, as expected in the "classicalization" scenario. We then show that, by
imposing the result does not depend on Lambda (in the limit Lambda to Mp), an
explicit (albeit not unique) expression for Pi can be derived, which is similar
to the one simply obtained with the standard Feynman propagator and a cutoff
Lambda=Mp.


title:
Spatially Selective Artificial-Noise Aided Transmit Optimization for
  MISO Multi-Eves Secrecy Rate Maximization

abstract:
  Consider an MISO channel overheard by multiple eavesdroppers. Our goal is to
design an artificial noise (AN)-aided transmit strategy, such that the
achievable secrecy rate is maximized subject to the sum power constraint.
AN-aided secure transmission has recently been found to be a promising approach
for blocking eavesdropping attempts. In many existing studies, the confidential
information transmit covariance and the AN covariance are not simultaneously
optimized. In particular, for design convenience, it is common to prefix the AN
covariance as a specific kind of spatially isotropic covariance. This paper
considers joint optimization of the transmit and AN covariances for secrecy
rate maximization (SRM), with a design flexibility that the AN can take any
spatial pattern. Hence, the proposed design has potential in jamming the
eavesdroppers more effectively, based upon the channel state information (CSI).
We derive an optimization approach to the SRM problem through both analysis and
convex conic optimization machinery. We show that the SRM problem can be recast
as a single-variable optimization problem, and that resultant problem can be
efficiently handled by solving a sequence of semidefinite programs. Our
framework deals with a general setup of multiple multi-antenna eavesdroppers,
and can cater for additional constraints arising from specific application
scenarios, such as interference temperature constraints in interference
networks. We also generalize the framework to an imperfect CSI case where a
worst-case robust SRM formulation is considered. A suboptimal but safe solution
to the outage-constrained robust SRM design is also investigated. Simulation
results show that the proposed AN-aided SRM design yields significant secrecy
rate gains over an optimal no-AN design and the isotropic AN design, especially
when there are more eavesdroppers.


title: Supercategorification of quantum Kac-Moody algebras II

abstract:
  In this paper, we investigate the supercategories consisting of supermodules
over quiver Hecke superalgebras and cyclotomic quiver Hecke superalgebras. We
prove that these supercategories provide a supercategorification of a certain
family of quantum superalgebras and their integrable highest weight modules. We
show that, by taking a specialization, we obtain a supercategorification of
quantum Kac-Moody superalgebras and their integrable highest weight modules.


title:
Low dimensional linear representations of the mapping class group of a
  nonorientable surface

abstract:
  Suppose that $f$ is a homomorphism from the mapping class group
$\mathcal{M}(N_{g,n})$ of a nonorientable surface of genus $g$ with $n$
boundary components, to $\mathrm{GL}(m,\mathbb{C})$. We prove that if $g\ge 5$,
$n\le 1$ and $m\le g-2$, then $f$ factors through the abelianization of
$\mathcal{M}(N_{g,n})$, which is $\mathbb{Z}_2\times\mathbb{Z}_2$ for
$g\in\{5,6\}$ and $\mathbb{Z}_2$ for $g\ge 7$. If $g\ge 7$, $n=0$ and $m=g-1$,
then either $f$ has finite image (of order at most two if $g\ne 8$), or it is
conjugate to one of four "homological representations". As an application we
prove that for $g\ge 5$ and $h<g$, every homomorphism
$\mathcal{M}(N_{g,0})\to\mathcal{M}(N_{h,0})$ factors through the
abelianization of $\mathcal{M}(N_{g,0})$.


title: A simple proof of the Gauss-Bonnet-Chern formula for Finsler manifolds

abstract:
  From the point of view of index theory, we give a simple proof of a
Gauss-Bonnet-Chern formula for all Finsler manifolds by the Cartan connection.
Based on this, we establish a Gauss-Bonnet-Chern formula for any
metric-compatible connection and also derive the Gauss-Bonnet-Chern formula of
Lackey.


title:
Avenues for Analytic exploration in Axisymmetric Spacetimes. Foundations
  and the Triad Formalism

abstract:
  Axially symmetric spacetimes are the only models for isolated systems with
continuous symmetries that also include dynamics. For such systems, we review
the reduction of the vacuum Einstein field equations to their most concise form
by dimensionally reducing to the three-dimensional space of orbits of the
Killing vector, followed by a conformal rescaling. The resulting field
equations can be written as a problem in three-dimensional gravity with a
complex scalar field as source. This scalar field, the Ernst potential is
constructed from the norm and twist of the spacelike Killing field. In the case
where the axial Killing vector is twist-free, we discuss the properties of the
axis and simplify the field equations using a triad formalism. We study two
physically motivated triad choices that further reduce the complexity of the
equations and exhibit their hierarchical structure. The first choice is adapted
to a harmonic coordinate that asymptotes to a cylindrical radius and leads to a
simplification of the three-dimensional Ricci tensor and the boundary
conditions on the axis. We illustrate its properties by explicitly solving the
field equations in the case of static axisymmetric spacetimes. The other choice
of triad is based on geodesic null coordinates adapted to null infinity as in
the Bondi formalism. We then explore the solution space of the twist-free
axisymmetric vacuum field equations, identifying the known (unphysical)
solutions together with the assumptions made in each case. This singles out the
necessary conditions for obtaining physical solutions to the equations.


title:
Dependence of the optical brightness on the gamma and X-ray properties
  of GRBs

abstract:
  The Swift satellite made a real break through with measuring simultaneously
the gamma X-ray and optical data of GRBs, effectively. Although, the satellite
measures the gamma, X-ray and optical properties almost in the same time a
significant fractions of GRBs remain undetected in the optical domain. In a
large number of cases only an upper bound is obtained. Survival analysis is a
tool for studying samples where a part of the cases has only an upper (lower)
limit. The obtained survival function may depend on some other variables. The
Cox regression is a way to study these dependencies. We studied the dependence
of the optical brightness (obtained by the UVOT) on the gamma and X-ray
properties, measured by the BAT and XRT on board of the Swift satellite. We
showed that the gamma peak flux has the greatest impact on the afterglow's
optical brightness while the gamma photon index and the X-ray flux do not. This
effect probably originates in the energetics of the jet launched from the
central engine of the GRB which triggers the afterglow.


title:
About the algebraic closure of the field of power series in several
  variables in characteristic zero

abstract:
  We construct algebraically closed fields containing an algebraic closure of
the field of power series in several variables over a characteristic zero
field. Each of these fields depends on the choice of an Abhyankar valuation and
are constructed via the Newton-Puiseux method. Then we study more carefully the
case of monomial valuations and we give a result generalizing the
Abhyankar-Jung Theorem for monic polynomials whose discriminant is weighted
homogeneous.


title:
Hercules X-1: variations of the cyclotron line energy with flux, with
  phase and with time

abstract:
  Her X-1 is one of the the most intensively studied Accreting X-ray Binary
Pulsars (AXBPs). This is largely because it is a bright and persistent X-ray
pulsar, showing the largest variety of observable phenomena, partly due to the
favorable geometry in observing the binary nearly edge-on. Her X-1 is the
binary X-ray pulsar in which the first cyclotron line (or Cyclotron Resonant
Scattering Feature - CRSF) was detected in 1975. Since then, we have made an
effort to observe the source and the CRSF around 40 keV as often as possible,
using those X-ray satellites which cover the high energy X-ray range. Extended
contributions are from the Rossi X-ray Timing Explorer (RXTE), {INTEGRAL,
Suzaku and Swift. The most recent contribution with a new degree of quality is
from the high energy imaging telescope on NuStar. We have found that the CRSF
is variable with flux, with phase (both pulsational and precessional phase) and
with time. The historical evolution of the pulse phase averaged CRSF centroid
energy Ecyc since its discovery is characterized by an initial value around 35
keV, an abrupt jump upwards to beyond ~40$ keV between 1990 and 1994 and an
apparent secular decay thereafter. Much of this decay, however, was found to be
due to an artifact, namely a correlation between Ecyc and the X-ray luminosity
Lx discovered in 2007, amounting to a change of ~7% in energy for a factor of
two in luminosity. In observations since 2007, however, we now find a
statistically significant trend of a true secular decrease of the cyclotron
line energy. In addition, we discuss recent results of pulse phase spectroscopy
and evidence for the suspected variation in Ecyc with phase of the 35 d
precessional period (which is observed both in the modulation of the X-ray flux
and in the systematic variation in shape of the 1.24 s pulse profile.


title:
A near-infrared relationship for estimating black hole masses in active
  galactic nuclei

abstract:
  Black hole masses for samples of active galactic nuclei (AGN) are currently
estimated from single-epoch optical spectra using scaling relations anchored in
reverberation mapping results. In particular, the two quantities needed for
calculating black hole masses, namely, the velocity and the radial distance of
the orbiting gas are derived from the widths of the Balmer hydrogen broad
emission lines and the optical continuum luminosity, respectively. We have
recently presented a near-infrared (near-IR) relationship for estimating AGN
black hole masses based on the widths of the Paschen hydrogen broad emission
lines and the total 1 micron continuum luminosity. The near-IR offers several
advantages over the optical: it suffers less from dust extinction, the AGN
continuum is observed only weakly contaminated by the host galaxy and the
strongest Paschen broad emission lines Pa alpha and Pa beta are unblended. Here
we improve the calibration of the near-IR black hole mass relationship by
increasing the sample from 14 to 23 reverberation-mapped AGN using additional
spectroscopy obtained with the Gemini Near-Infrared Spectrograph (GNIRS). The
additional sample improves the number statistics in particular at the high
luminosity end.


title: Spin coupling around a carbon atom vacancy in graphene

abstract:
  We investigate the details of the electronic structure in the neighborhoods
of a carbon atom vacancy in graphene by employing magnetization-constrained
density-functional theory on periodic slabs, and spin-exact, multi-reference,
second-order perturbation theory on a finite cluster. The picture that emerges
is that of two local magnetic moments (one \pi-like and one \sigma-like)
decoupled from the \pi- band and coupled to each other. We find that the ground
state is a triplet with a planar equilibrium geometry where an apical C atom
opposes a pentagonal ring. This state lies ~0.2 eV lower in energy than the
open-shell singlet with one spin flipped, which is a bistable system with two
equivalent equilibrium lattice configurations (for the apical C atom above or
below the lattice plane) and a barrier ~0.1 eV high separating them.
Accordingly, a bare carbon-atom vacancy is predicted to be a spin-one
paramagnetic species, but spin-half paramagnetism can be accommodated if
binding to foreign species, ripples, coupling to a substrate, or doping are
taken into account.


title:
High-bandwidth squeezed light at 1550 nm from a compact monolithic PPKTP
  cavity

abstract:
  We report the generation of squeezed vacuum states of light at 1550 nm with a
broadband quantum noise reduction of up to 4.8 dB ranging from 5 MHz to 1.2 GHz
sideband frequency. We used a custom-designed 2.6 mm long biconvex
periodically-poled potassium titanyl phosphate (PPKTP) crystal. It featured
reflectively coated end surfaces, 2.26 GHz of linewidth and generated the
squeezing via optical parametric amplification. Two homodyne detectors with
different quantum efficiencies and bandwidths were used to characterize the
non-classical noise suppression. We measured squeezing values of up to 4.8 dB
from 5 to 100 MHz and up to 3 dB from 100 MHz to 1.2 GHz. The squeezed vacuum
measurements were limited by detection loss. We propose an improved detection
scheme to measure up to 10 dB squeezing over 1 GHz. Our results of GHz
bandwidth squeezed light generation provide new prospects for high-speed
quantum key distribution.


title: Non-trivial Surface-band Dispersion on Bi(111)

abstract:
  We performed angle-resolved photoelectron spectroscopy of the Bi(111) surface
to demonstrate that this surface support edge states of non-trivial topology.
Along the $\bar{\Gamma}\bar{M}$-direction of the surface Brillouin zone, a
surface-state band disperses from the projected bulk valence bands at
$\bar{\Gamma}$ to the conduction bands at $\bar{M}$ continuously, indicating
the non-trivial topological order of three-dimensional Bi bands. We ascribe
this finding to the absence of band inversion at the $L$ point of the bulk Bi
Brillouin zone. According to our analysis, a modification of tight-binding
parameters can account for the non-trivial band structure of Bi without any
other significant change on other physical properties.


title:
The linear stochastic order and directed inference for multivariate
  ordered distributions

abstract:
  Researchers are often interested in drawing inferences regarding the order
between two experimental groups on the basis of multivariate response data.
Since standard multivariate methods are designed for two-sided alternatives,
they may not be ideal for testing for order between two groups. In this article
we introduce the notion of the linear stochastic order and investigate its
properties. Statistical theory and methodology are developed to both estimate
the direction which best separates two arbitrary ordered distributions and to
test for order between the two groups. The new methodology generalizes Roy's
classical largest root test to the nonparametric setting and is applicable to
random vectors with discrete and/or continuous components. The proposed
methodology is illustrated using data obtained from a 90-day pre-chronic rodent
cancer bioassay study conducted by the National Toxicology Program (NTP).


title:
Bound states of dipolar molecules studied with the Berggren expansion
  method

abstract:
  Bound states of dipole-bound negative anions are studied by using a
non-adiabatic pseudopotential method and the Berggren expansion involving bound
states, decaying resonant states, and non-resonant scattering continuum. The
method is benchmarked by using the traditional technique of direct integration
of coupled channel equations. A good agreement between the two methods has been
found for well-bound states. For weakly-bound subthreshold states with binding
energies comparable with rotational energies of the anion, the direct
integration approach breaks down and the Berggren expansion method becomes the
tool of choice.


title: Towards the Fully Automatic Merging of Lexical Resources: A Step Forward

abstract:
  This article reports on the results of the research done towards the fully
automatically merging of lexical resources. Our main goal is to show the
generality of the proposed approach, which have been previously applied to
merge Spanish Subcategorization Frames lexica. In this work we extend and apply
the same technique to perform the merging of morphosyntactic lexica encoded in
LMF. The experiments showed that the technique is general enough to obtain good
results in these two different tasks which is an important step towards
performing the merging of lexical resources fully automatically.


title: Automatic lexical semantic classification of nouns

abstract:
  The work we present here addresses cue-based noun classification in English
and Spanish. Its main objective is to automatically acquire lexical semantic
information by classifying nouns into previously known noun lexical classes.
This is achieved by using particular aspects of linguistic contexts as cues
that identify a specific lexical class. Here we concentrate on the task of
identifying such cues and the theoretical background that allows for an
assessment of the complexity of the task. The results show that, despite of the
a-priori complexity of the task, cue-based classification is a useful tool in
the automatic acquisition of lexical semantic classes.


title: A Classification of Adjectives for Polarity Lexicons Enhancement

abstract:
  Subjective language detection is one of the most important challenges in
Sentiment Analysis. Because of the weight and frequency in opinionated texts,
adjectives are considered a key piece in the opinion extraction process. These
subjective units are more and more frequently collected in polarity lexicons in
which they appear annotated with their prior polarity. However, at the moment,
any polarity lexicon takes into account prior polarity variations across
domains. This paper proves that a majority of adjectives change their prior
polarity value depending on the domain. We propose a distinction between domain
dependent and domain independent adjectives. Moreover, our analysis led us to
propose a further classification related to subjectivity degree: constant,
mixed and highly subjective adjectives. Following this classification, polarity
values will be a better support for Sentiment Analysis.


title: Mining and Exploiting Domain-Specific Corpora in the PANACEA Platform

abstract:
  The objective of the PANACEA ICT-2007.2.2 EU project is to build a platform
that automates the stages involved in the acquisition, production, updating and
maintenance of the large language resources required by, among others, MT
systems. The development of a Corpus Acquisition Component (CAC) for extracting
monolingual and bilingual data from the web is one of the most innovative
building blocks of PANACEA. The CAC, which is the first stage in the PANACEA
pipeline for building Language Resources, adopts an efficient and distributed
methodology to crawl for web documents with rich textual content in specific
languages and predefined domains. The CAC includes modules that can acquire
parallel data from sites with in-domain content available in more than one
language. In order to extrinsically evaluate the CAC methodology, we have
conducted several experiments that used crawled parallel corpora for the
identification and extraction of parallel sentences using sentence alignment.
The corpora were then successfully used for domain adaptation of Machine
Translation Systems.


title:
Interplay of inter-chain interactions and exchange anisotropy: Stability
  of multipolar states in quasi-1D quantum helimagnets

abstract:
  We quantify the instability towards the formation of multipolar states in
coupled spin-1/2 chain systems with a frustrating J1-J2 exchange, in parameter
regimes that are of directly relevance to edge-shared cuprate spin-chain
compounds. Three representative types of inter-chain coupling and the presence
of uniaxial exchange anisotropy are considered. The magnetic phase diagrams are
determined by Density Matrix Renormalization Group calculations and completed
by exact analytic results for the nematic and dipolar phases. We establish that
the residual couplings strongly affect the pitch of spiral states and their
instability to multipolar phases. Our theoretical results bring to the fore
novel candidate materials close to quantum nematic/triatic ordering.


title:
Controlled and Continuous Patterning of Organic and Inorganic Materials
  by Induced Nucleation in an Optical Tweezers

abstract:
  We demonstrate for the first time controlled patterning by inducing
nucleation of material from a dense aqueous dispersion or solution in an
optical tweezers. A hot spot is formed on a glass surface by the trapping laser
due to which a water vapor bubble is formed causing Gibbs-Marangoni convection
of material around the bubble. This results in accretion of material around the
bubble, which eventually nucleates into a crystalline state of the material.
The nucleation site, when moved by translating the microscope stage of the
optical tweezers apparatus, forms a pattern. We have demonstrated the technique
using exotic inorganic materials such as soft oxometalates, and organic
materials such as glycine, paracetamol, and a fluorescent dye such as perylene.
We have written patterns over lengths of nearly 1 mm at the rate of 1 Hz, with
best resolution of about 1 micron. The technique has potential for a wide range
of applications ranging from solution processed printable electronics to
controlled catalysis.


title: Mirror matter can alleviate the cosmological lithium problem

abstract:
  The abundance of lithium-7 confronts cosmology with a long lasting problem
between the predictions of standard big bang nucleosynthesis and the baryonic
density determined from the cosmic microwave background observations. This
article investigates the influence of the existence of a mirror world, focusing
on models in which neutrons can oscillate into mirror neutrons. Such a
mechanism allows for an effective late time neutron injection, which induces an
increase of the destruction of beryllium-7, due to an increase of the neutron
capture, and then a decrease of the final lithium-7 abundance. Big bang
nucleosynthesis sets constraints on the oscillation time between the two types
of neutron and the possibility for such a mechanism to solve, or alleviate, the
lithium problem is emphasized.


title:
Long range correlations in a 97% excitonic one-dimensional polariton
  condensate

abstract:
  We report on the realization of an out-of-equilibrium polariton condensate
under pulsed excitation in a one-dimensional geometry. We observe macroscopic
occupation of a polaritonic mode with only 3% photonic fraction, and a nature
strikingly close to that of a bare exciton condensate. With the help of this
tiny photonic fraction, the condensate is found to display first-order
coherence over distances as large as 10 microns. Based on a driven-dissipative
mean field model, we find that the correlations length is limited by the
effects of a shallow disorder under non-equilibrium conditions.


title: The large-scale Quasar-Lyman \alpha\ Forest Cross-Correlation from BOSS

abstract:
  We measure the large-scale cross-correlation of quasars with the Lyman
\alpha\ forest absorption in redshift space, using ~ 60000 quasar spectra from
Data Release 9 (DR9) of the Baryon Oscillation Spectroscopic Survey (BOSS). The
cross-correlation is detected over a wide range of scales, up to comoving
separations r of 80 Mpc/h. For r > 15 Mpc/h, we show that the cross-correlation
is well fitted by the linear theory prediction for the mean overdensity around
a quasar host halo in the standard \Lambda CDM model, with the redshift
distortions indicative of gravitational evolution detected at high confidence.
Using previous determinations of the Lyman \alpha\ forest bias factor obtained
from the Lyman \alpha\ autocorrelation, we infer the quasar bias factor to be
b_q = 3.64^+0.13_-0.15 at a mean redshift z=2.38, in agreement with previous
measurements from the quasar auto-correlation. We also obtain a new estimate of
the Lyman \alpha\ forest redshift distortion factor, \beta_F = 1.1 +/- 0.15,
slightly larger than but consistent with the previous measurement from the
Lyman \alpha\ forest autocorrelation. The simple linear model we use fails at
separations r < 15 Mpc/h, and we show that this may reasonably be due to the
enhanced ionization due to radiation from the quasars. We also provide the
expected correction that the mass overdensity around the quasar implies for
measurements of the ionizing radiation background from the line-of-sight
proximity effect.


title:
Interfaces and wetting transition on the half plane. Exact results from
  field theory

abstract:
  We consider the scaling limit of a generic ferromagnetic system with a
continuous phase transition, on the half plane with boundary conditions leading
to the equilibrium of two different phases below criticality. We use general
properties of low energy two-dimensional field theory to determine exact
asymptotics of the magnetization profile perperdicularly to the boundary, to
show the presence of an interface with endpoints pinned to the boundary, and to
determine its passage probability. The midpoint average distance of the
interface from the boundary grows as the square root of the distance between
the endpoints, unless the reflection amplitude of the bulk excitations on the
boundary possesses a stable bound state pole. The contact angle of the
phenomenological wetting theory is exactly related to the location of this
pole. Results available from the lattice solution of the Ising model are
recovered as a particular case.

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


title:
Percept formation from neural populations in sensory decision-making
  tasks

abstract:
  We study a standard linear readout model of perceptual integration from a
population of sensory neurons. We show that the readout can be associated to a
set of characteristic equations which summarize the joint trial-to-trial
covariance structure of neural activities and animal percept. These
characteristic equations implicitly determine the readout parameters that were
used by the animal to create its percept. In particular, they implicitly
constrain the temporal integration window w and the typical number of neurons K
which give rise to the percept. Comparing neural and behavioral sensitivity
alone cannot disentangle these two sources of perceptual integration, so the
characteristic equations also involve a measure of choice signals, like those
assessed by the classic experimental measure of choice probabilities. We then
propose a statistical method of analysis which allows to recover the typical
scales of integration w and K from finite numbers of recorded neurons and
recording trials, and show the efficiency of this method on an artificial
encoding network. We also study the statistical method theoretically, and
relate its laws of convergence to the underlying structure of neural activity
in the population, as described through its singular value decomposition.
Altogether, our method provides the first thorough interpretation of
feedforward percept formation from a population of sensory neurons. It can
readily be applied to experimental recordings in classic sensory
decision-making tasks, and hopefully provide new insights into the nature of
perceptual integration.


title:
Relative proton and gamma widths of astrophysically important states in
  30S studied in the beta-decay of 31Ar

abstract:
  Resonances just above the proton threshold in 30S affect the 29P(p,gamma)30S
reaction under astrophysical conditions. The (p,gamma)-reaction rate is
currently determined indirectly and depends on the properties of the relevant
resonances. We present here a method for finding the ratio between the proton
and gamma partial widths of resonances in 30S. The widths are determined from
the beta-2p and beta-p-gamma decay of 31Ar, which is produced at the ISOLDE
facility at the European research organization CERN. Experimental limits on the
ratio between the proton and gamma partial widths for astrophysical relevant
levels in 30S have been found for the first time. A level at 4688(5) keV is
identified in the gamma spectrum, and an upper limit on the proton to gamma
width of 0.26 (95 % C.L.) is found. In the two-proton spectrum two levels at
5227(3) keV and 5847(4) keV are identified. These levels are previously seen to
gamma decay and upper limits on the gamma to proton width of 0.5 and 9,
respectively, (95 % C.L.) are found, where the latter differs from previous
calculations.


title:
Stochastic and equilibrium pictures of the ultracold FFR molecular
  conversion rate

abstract:
  The ultracold molecular conversion rate occurring in an adiabatic ramp
through a Fano-Feshbach resonance is studied and compared in two statistical
models. One model, the so-called stochastic phase space sampling (SPSS)[E.Hodby
et al., PRL.94 120402(2005)] evaluates the overlap of two atomic distributions
in phase space by sampling atomic pairs according to a phase-space criterion.
The other model, the chemical equilibrium theory(ChET)[S.Watabe and T.Nikuni,
PRA.77 013616(2008)] considers atomic and molecular distributions in the limit
of the chemical and thermal equilibrium. The present study applies SPSS and
ChET to a prototypical system of K+K K2 in all the symmetry combinations,
namely Fermi-Fermi, Bose-Bose, and Bose-Fermi cases. To examine implications of
the phase-space criterion for SPSS, the behavior of molecular conversion is
analyzed using four distinct geometrical constraints. Our comparison of the
results of SPSS with those of ChET shows that while they appear similar in most
situations, the two models give rise to rather dissimilar behaviors when the
presence of a Bose-Einstein condensate (BEC) strongly affects the molecule
formation.


title: Optimal Control of MDPs with Temporal Logic Constraints

abstract:
  In this paper, we focus on formal synthesis of control policies for finite
Markov decision processes with non-negative real-valued costs. We develop an
algorithm to automatically generate a policy that guarantees the satisfaction
of a correctness specification expressed as a formula of Linear Temporal Logic,
while at the same time minimizing the expected average cost between two
consecutive satisfactions of a desired property. The existing solutions to this
problem are sub-optimal. By leveraging ideas from automata-based model checking
and game theory, we provide an optimal solution. We demonstrate the approach on
an illustrative example.


title: Integral and Series Representations of the Dirac Delta Function

abstract:
  Mathematical justifications are given for several integral and series
representations of the Dirac delta function which appear in the physics
literature. These include integrals of products of Airy functions, and of
Coulomb wave functions; they also include series of products of Laguerre
polynomials and of spherical harmonics. The methods used are essentially based
on the asymptotic behavior of these special functions.


title:
Ultracold neutron accumulation in a superfluid-helium converter with
  magnetic multipole reflector

abstract:
  We analyze accumulation of ultracold neutrons (UCN) in a superfluid-helium
converter vessel surrounded by a magnetic multipole reflector. We solved the
spin-dependent rate equation, employing formulas valid for adiabatic spin
transport of trapped UCN in mechanical equilibrium. Results for saturation UCN
densities are obtained in dependence of order and strength of the multipolar
field. The addition of magnetic storage to neutron optical potentials can
increase the density and energy of the low field seeking UCN produced and
serves to mitigate the effects of wall losses on the source performance. It
also can provide a highly polarized sample of UCN without need to polarize the
neutron beam incident on the converter. This work was performed in preparation
of the UCN source project SuperSUN at the ILL.


title:
Duality for relative Prymians associated to K3 double covers of del
  Pezzo surface of degree 2

abstract:
  Markushevich and Tikhomirov provided a construction of an irreducible
symplectic V-manifold of dimension 4, the relative compactified Prym variety of
a family of curves with involution, which is a Lagrangian fibration with
polarization of type (1,2). We give a characterization of the dual Lagrangian
fibration. We also identify the moduli space of Lagrangian fibrations of this
type and show that the duality defines a rational involution on it.


title: Black holes in higher spin supergravity

abstract:
  We study black hole solutions in Chern-Simons higher spin supergravity based
on the superalgebra sl(3|2). These black hole solutions have a U(1) gauge field
and a spin 2 hair in addition to the spin 3 hair. These additional fields
correspond to the R-symmetry charges of the supergroup sl(3|2). Using the
relation between the bulk field equations and the Ward identities of a CFT with
N=2 super-W_3 symmetry, we identify the bulk charges and chemical potentials
with those of the boundary CFT. From these identifications we see that a
suitable set of variables to study this black hole is in terms of the charges
present in three decoupled bosonic sub-algebras of the N=2 super-W_3 algebra.
The entropy and the partition function of these R-charged black holes are then
evaluated in terms of the charges of the bulk theory as well as in terms of its
chemical potentials. We then compute the partition function in the dual CFT and
find exact agreement with the bulk partition function.


title:
Time-dependent density functional theory for many-electron systems
  interacting with cavity photons

abstract:
  Time-dependent (current) density functional theory for many-electron systems
strongly coupled to quantized electromagnetic modes of a microcavity is
proposed. It is shown that the electron-photon wave function is a unique
functional of the electronic (current) density and the expectation values of
photonic coordinates. The Kohn-Sham system is constructed, which allows to
calculate the above basic variables by solving selfconsistent equations for
noninteracting particles. We suggest possible approximations for the
exchange-correlation potentials and discuss implications of this approach for
the theory of open quantum systems.


title: The Value of User-Visible Internet Cryptography

abstract:
  Cryptographic mechanisms are used in a wide range of applications, including
email clients, web browsers, document and asset management systems, where
typical users are not cryptography experts. A number of empirical studies have
demonstrated that explicit, user-visible cryptographic mechanisms are not
widely used by non-expert users, and as a result arguments have been made that
cryptographic mechanisms need to be better hidden or embedded in end-user
processes and tools. Other mechanisms, such as HTTPS, have cryptography
built-in and only become visible to the user when a dialogue appears due to a
(potential) problem. This paper surveys deployed and potential technologies in
use, examines the social and legal context of broad classes of users, and from
there, assesses the value and issues for those users.


title:
The Strategy of Discrimination between Flavors for Detection of
  Cosmogenic Neutrinos

abstract:
  We propose a new method to identify flavors of ultra high energy cosmic
neutrinos. Energy loss of leptons in matter provides important informations for
the detection of neutrinos originated from high energy astrophysical sources.
50 years ago, Askaryan proposed to detect Cherenkov signals by radio wave from
the negative charge excess of particle showers. The theory of Cherenkov pulses
with Fraunhofer approximation was widely studied in the past two decades.
However, at high energies or for high density materials, electromagnetic shower
should be elongated due to the Landau-Pomeranchuck-Migdal (LPM) effect. As such
the standard Fraunhofer approximation ceases to be valid when the distance
between the shower and the detector becomes comparable with the shower length.
We have performed Monte Carlo simulations recently to investigate this regime
based on the finite-difference time-domain (FDTD) method, and modified time
domain integration method. In this work, we adopt the deduced relationship
between the radio signal and the cascade development profile to investigate its
implication to lepton signatures. Our method provides a straightforward
technique to identify the neutrino flavor through the detected Cherenkov
signals.


title: Advancements in Big Data Processing in the ATLAS and CMS Experiments

abstract:
  The ever-increasing volumes of scientific data present new challenges for
distributed computing and Grid technologies. The emerging Big Data revolution
drives exploration in scientific fields including nanotechnology, astrophysics,
high-energy physics, biology and medicine. New initiatives are transforming
data-driven scientific fields enabling massive data analysis in new ways. In
petascale data processing scientists deal with datasets, not individual files.
As a result, a task (comprised of many jobs) became a unit of petascale data
processing on the Grid. Splitting of a large data processing task into jobs
enabled fine-granularity checkpointing analogous to the splitting of a large
file into smaller TCP/IP packets during data transfers. Transferring large data
in small packets achieves reliability through automatic re-sending of the
dropped TCP/IP packets. Similarly, transient job failures on the Grid can be
recovered by automatic re-tries to achieve reliable six sigma production
quality in petascale data processing on the Grid. The computing experience of
the ATLAS and CMS experiments provides foundation for reliability engineering
scaling up Grid technologies for data processing beyond the petascale.


title: Approximate k-nearest neighbour based spatial clustering using k-d tree

abstract:
  Different spatial objects that vary in their characteristics, such as
molecular biology and geography, are presented in spatial areas. Methods to
organize, manage, and maintain those objects in a structured manner are
required. Data mining raised different techniques to overcome these
requirements. There are many major tasks of data mining, but the mostly used
task is clustering. Data set within the same cluster share common features that
give each cluster its characteristics. In this paper, an implementation of
Approximate kNN-based spatial clustering algorithm using the K-d tree is
proposed. The major contribution achieved by this research is the use of the
k-d tree data structure for spatial clustering, and comparing its performance
to the brute-force approach. The results of the work performed in this paper
revealed better performance using the k-d tree, compared to the traditional
brute-force approach.


title:
Improving DTN Routing Performance Using Many-to-Many Communication: A
  Performance Modeling Study

abstract:
  Delay-Tolerant Networks (DTNs) have emerged as an exciting research area with
a number of useful applications. Most of these applications would benefit
greatly by a reduction in the message delivery delay experienced in the
network. The delay performance of DTNs is adversely affected by contention,
especially severe in the presence of higher traffic rates and node densities.
Many-to-Many (M2M) communication can handle this contention much better than
traditional one-to- one communication employing CSMA. In this paper, for the
first time, we analytically model the expected delivery delay of a DTN
employing epidemic routing and M2M communication. The accuracy of our model is
demonstrated by matching the analytical results against those from simulations.
We also show using simulations that M2M communication significantly improves
the delay performance (with respect to one-to-one CSMA) for high contention
scenarios. We believe our work will enable the effective application of M2M
communication to reduce delivery delays in DTNs.


title: Lambda-lookdown model with selection

abstract:
  The goal of this paper is to study the lookdown model with selection in the
case of a population containing two types of individuals, with a reproduction
model which is dual to the $\Lambda$-coalescent. In particular we formulate the
infinite population "$\Lambda$-lookdown model with selection". When the measure
$\Lambda$ gives no mass to 0, we show that the proportion of one of the two
types converges, as the population size $N$ tends to infinity, towards the
solution of a stochastic differential equation driven by a Poisson point
process. We show that one of the two types fixates in finite time if and only
if the $\Lambda$-coalescent comes down from infinity. We give precise
asymptotic results in the case of the Bolthausen-Sznitman coalescent. We also
consider the general case of a combination of the Kingman and the
$\Lambda$-lookdown model.


title: Chiral condensate from the twisted mass Dirac operator spectrum

abstract:
  We present the results of our computation of the chiral condensate with
$N_f=2$ and $N_f=2+1+1$ flavours of maximally twisted mass fermions. The
condensate is determined from the Dirac operator spectrum, applying the
spectral projector method proposed by Giusti and Luscher. We use 3 lattice
spacings and several quark masses at each lattice spacing to perform the chiral
and continuum extrapolations. We study the effect of the dynamical strange and
charm quarks by comparing our results for $N_f=2$ and $N_f=2+1+1$ dynamical
flavours.


title: Random homogenisation of a highly oscillatory singular potential

abstract:
  In this article, we consider the problem of homogenising the linear heat
equation perturbed by a rapidly oscillating random potential. We consider the
situation where the space-time scaling of the potential's oscillations is
\textit{not} given by the diffusion scaling that leaves the heat equation
invariant. Instead, we treat the case where spatial oscillations are much
faster than temporal oscillations. Under suitable scaling of the amplitude of
the potential, we prove convergence to a deterministic heat equation with
constant potential, thus completing the results previously obtained in
\cite{MR2962093}.


title:
Strange star equation of state fits the refined mass measurement of 12
  pulsars and predicts their radii

abstract:
  There are three categories of stars whose masses have been found accurately
in recent times: (1) two for which Shapiro delay is used which is possible due
to GR light bending as the partner is heavy : PSR J1614-2230 and PSR J1903+0327
(2) six eclipsing stars for which numerical Roche Lobe geometry is used and (3)
3 stars for which spectroscopic methods are used and in fact for these three
the mass and radii both are estimated. Motivated by large color (N_c) expansion
using a modified Richardson potential, along with density dependent quark
masses thereby allowing chiral symmetry restoration, we get compact strange
stars fitting all the observed masses.


title: Asteroseismology of Solar-Type and Red-Giant Stars

abstract:
  We are entering a golden era for stellar physics driven by satellite and
telescope observations of unprecedented quality and scope. New insights on
stellar evolution and stellar interiors physics are being made possible by
asteroseismology, the study of stars by the observation of natural, resonant
oscillations. Asteroseismology is proving to be particularly significant for
the study of solar-type and red-giant stars. These stars show rich spectra of
solar-like oscillations, which are excited and intrinsically damped by
turbulence in the outermost layers of the convective envelopes. In this review
we discuss the current state of the field, with a particular emphasis on recent
advances provided by the Kepler and CoRoT space missions and the wider
significance to astronomy of the results from asteroseismology, such as stellar
populations studies and exoplanet studies.


title: Fractional Bloch oscillations in photonic lattices

abstract:
  Bloch oscillations, the oscillatory motion of a quantum particle in a
periodic potential, are one of the most fascinating effects of coherent quantum
transport. Originally studied in the context of electrons in crystals, Bloch
oscillations manifest the wave nature of matter and are found in a wide variety
of different physical systems. Here we report on the first experimental
observation of fractional Bloch oscillations, using a photonic lattice as a
model system of a two-particle extended Bose-Hubbard Hamiltonian. In our
photonic simulator, the dynamics of two correlated particles hopping on a
one-dimensional lattice is mapped into the motion of a single particle in a
two-dimensional lattice with engineered defects and mimicked by light transport
in a square waveguide lattice with a bent axis.


title: Noise induced enhancement of network reciprocity in social dilemmas

abstract:
  The network reciprocity is an important dynamic rule fostering the emergence
of cooperation among selfish individuals. This was reported firstly in the
seminal work of Nowak and May, where individuals were arranged on the regular
lattice network, and played the prisoner's dilemma game (PDG). In the standard
PDG, one often assumes that the players have perfect rationality. However, in
reality, we human are far from rational agents, as we often make mistakes, and
behave irrationally. Accordingly, in this work, we introduce the element of
noise into the measurement of fitness, which is determined by the parameter a
controlling the degree of noise. The considered noise-induced mechanism
remarkably promotes the behavior of cooperation, which may be conducive to
interpret the emergence of cooperation within the population.


title: An upper bound for nonnegative rank

abstract:
  We provide a nontrivial upper bound for the nonnegative rank of rank-three
matrices, which allows us to prove that [6(n+1)/7] linear inequalities suffice
to describe a convex n-gon up to a linear projection.


title:
Modelling solar irradiance variability on time scales from minutes to
  months

abstract:
  We analyze and model total solar irradiance variability on time scales from
minutes to months, excluding variations due to p-mode oscillations, using a
combination of convective and magnetic components. These include granulation,
the magnetic network, faculae and sunspots. Analysis of VIRGO data shows that
on periods of a day or longer solar variability depends on magnetic activity,
but is nearly independent at shorter periods. We assume that only granulation
affects the solar irradiance variability on time scales from minutes to hours.
Granulation is described as a large sample of bright cells and dark lanes that
evolve according to rules deduced from observations and radiation hydrodynamic
simulations. Comparison of this model combined with a high time resolution
magnetic-field based irradiance reconstruction, with solar data reveals a good
correspondence except at periods of 10 to 30 hours. This suggests that the
model is missing some power at these periods, which may be due to the absence
of supergranulation or insufficient sensitivity of MDI magnetograms used for
the reconstruction of the magnetic field-based irradiance reconstructions. Our
model also shows that even for spatially unresolved data (such as those
available for stars) the Fourier or wavelet transform of time series sampled at
high cadence may allow properties of stellar granulation, in particular granule
lifetimes to be determined.


title:
The mass and radius of the M-dwarf companion in the double-lined
  eclipsing binary T-Cyg1-01385

abstract:
  We observed spectroscopically the eclipsing binary system T-Cyg1-01385 in
order to determine physical properties of the components. The double-lined
nature of the system is revealed for the first time and the radial velocities
are obtained for both stars. We have derived masses, radii and luminosities for
both components. Analyses of the radial velocities and the KeplerCam and the
T$r$ES light curves yielded masses of M$_1$=1.059$\pm$0.032 \Msun ~and
M$_2$=0.342$\pm$0.017 {\Msun} and radii of R$_1$=1.989$\pm$0.022 {\Rsun} and
R$_2$=0.457$\pm$0.013 {\Rsun}. Locations of the low-mass companion in the
mass-radius and mass-effective temperature planes and comparison with the other
low-mass stars show that the secondary star appears just at the transition from
partially to fully convective interiors for the M dwarfs. When compared to
stellar evolution models, the luminosities and effective temperatures of the
components are consistent with Z=0.004 and an age of about 6 Gyr. A distance to
the system was calculated as d=355$\pm$7 pc using the BV and JHK magnitudes.


title: The density gradient expansion of correlation functions

abstract:
  We present a general scheme based on nonlinear response theory to calculate
the expansion of correlation functions such as the pair-correlation function or
the exchange-correlation hole of an inhomogeneous many-particle system in terms
of density derivatives of arbitrary order. We further derive a consistency
condition that is necessary for the existence of the gradient expansion. This
condition is used to carry out an infinite summation of terms involving
response functions up to infinite order from which it follows that the
coefficient functions of the gradient expansion can be expressed in terms the
local density profile rather than the background density around which the
expansion is carried out. We apply the method to the calculation of the
gradient expansion of the one-particle density matrix to second order in the
density gradients and recover in an alternative manner the result of Gross and
Dreizler (Z. Phys. A 302, 103 (1981)) which was derived using the Kirzhnits
method. The nonlinear response method is more general and avoids the turning
point problem of the Kirzhnits expansion. We further give a description of the
exchange hole in momentum space and confirm the wave vector analysis of
Langreth and Perdew (Phys. Rev. B21, 5469 (1980)) for this case. This is used
to derive that the second order gradient expansion of the system averaged
exchange hole satisfies the hole sum rule and to calculate the gradient
coefficient of the exchange energy without the need to regularize divergent
integrals.


title:
Robust error estimates in weak norms for advection dominated transport
  problems with rough data

abstract:
  We consider mixing problems in the form of transient convection--diffusion
equations with a velocity vector field with multiscale character and rough
data. We assume that the velocity field has two scales, a coarse scale with
slow spatial variation, which is responsible for advective transport and a fine
scale with small amplitude that contributes to the mixing. For this problem we
consider the estimation of filtered error quantities for solutions computed
using a finite element method with symmetric stabilization. A posteriori error
estimates and a priori error estimates are derived using the multiscale
decomposition of the advective velocity to improve stability. All estimates are
independent both of the P\'eclet number and of the regularity of the exact
solution.


title: Detection of the large scale alignment of massive galaxies at z~0.6

abstract:
  We report on the detection of the alignment between galaxies and large-scale
structure at z~0.6 based on the CMASS galaxy sample from the Baryon Oscillation
Spectroscopy Survey data release 9. We use two statistics to quantify the
alignment signal: 1) the alignment two-point correlation function which probes
the dependence of galaxy clustering at a given separation in redshift space on
the projected angle (theta_p) between the orientation of galaxies and the line
connecting to other galaxies, and 2) the cos(2theta)-statistic which estimates
the average of cos(2theta_p) for all correlated pairs at given separation. We
find significant alignment signal out to about 70 Mpc/h in both statistics.
Applications of the same statistics to dark matter halos of mass above 10^12
M_sun/h in a large cosmological simulation show similar scale-dependent
alignment signals to the observation, but with higher amplitudes at all scales
probed. We show that this discrepancy may be partially explained by a
misalignment angle between central galaxies and their host halos, though
detailed modeling is needed in order to better understand the link between the
orientations of galaxies and host halos. In addition, we find systematic trends
of the alignment statistics with the stellar mass of the CMASS galaxies, in the
sense that more massive galaxies are more strongly aligned with the large-scale
structure.


title: Nonreversal and nonrepeating quantum walks

abstract:
  We introduce a variation of the discrete time quantum walk, the nonreversal
quantum walk, which does not step back onto a position which it has just
occupied. This allows us to simulate a dimer and we achieve it by introducing a
new type of coin operator. The nonrepeating walk, which never moves in the same
direction in consecutive time steps, arises by a permutation of this coin
operator. We describe the basic properties of both walks and prove that the
even-order joint moments of the nonrepeating walker are independent of the
initial condition, being determined by five parameters derived from the coin
instead. Numerical evidence suggests that the same is the case for the
nonreversal walk. This contrasts strongly with previously studied coins, such
as the Grover operator, where the initial condition can be used to control the
standard deviation of the walker.


title: Blow up for critical wave equations on curved backgrounds

abstract:
  We extend the slow blow up solutions of Krieger, Schlag, and Tataru to
semilinear wave equations on a curved background. In particular, for a class of
manifolds $(M,g)$ we show the existence of a family of blow-up solutions with
finite energy norm to the equation {equation} \partial_t^2 u - \Delta_g u =
|u|^4 u, \notag {equation} with a continuous rate of blow up. In contrast to
the case where $g$ is the Minkowski metric, the argument used to produce these
solutions can only obtain blow up rates that are bounded above.


title:
Mott localization in the correlated superconductor Cs3C60 resulting from
  the molecular Jahn-Teller effect

abstract:
  Cs3C60 is a correlated superconductor under pressure, but an insulator under
ambient conditions. The mechanism causing this insulating behavior is the
combination of Mott localization and the dynamic Jahn-Teller effect. We show
evidence from infrared spectroscopy for the dynamic Jahn-Teller distortion. The
continuous change with temperature of the splitting of infrared lines is
typical Jahn-Teller behavior, reflecting the change in population of
solid-state conformers. We conclude that the electronic and magnetic
solid-state properties of the insulating state are controlled by molecular
phenomena. We estimate the time scale of the dynamic Jahn-Teller effect to be
above 10^(-11) s and the energy difference between the conformers less than 20
cm-1.


title: Arithmetic Branching Programs with Memory

abstract:
  We extend the well known characterization of $\vpws$ as the class of
polynomials computed by polynomial size arithmetic branching programs to other
complexity classes. In order to do so we add additional memory to the
computation of branching programs to make them more expressive. We show that
allowing different types of memory in branching programs increases the
computational power even for constant width programs. In particular, this leads
to very natural and robust characterizations of $\vp$ and $\vnp$ by branching
programs with memory.


title: Lattices of oscillator groups

abstract:
  This paper is concerned with discrete, uniform subgroups (lattices) of
oscillator groups, which are certain semidirect products of the Heisenberg
group and the additive group of real numbers. The present paper rectifies the
uncertainties in [1] of Medina and Revoy and gives a complete classification of
the lattices of the 4-dimensional oscillator group up to isomorphism.
  [1] Medina, A.; Revoy, P. Les groups oscillateurs et leurs reseaux
Manuscripta Mathematica, 1985, 52, 81-95


title:
Improving the management of cost and scope in software projects using
  agile practices

abstract:
  While organizations want to develop software products with reduced cost and
flexible scope, stories about the applicability of agile practices to improve
project development and performance in the software industry are scarce and
focused on specific methodologies such as Scrum and XP. Given these facts, this
paper aims to investigate, through practitioners' perceptions of value, which
agile practices are being used to improve two performance criteria for software
projects-cost and scope. Using a multivariate statistical technique known as
Exploratory Factor Analysis (EFA), the results suggest that the use of agile
practices can be represented in factors which describe different applications
in software development process to improve cost and scope. Also, we conclude
that some agile practices should be used together in order to get better
efficiency on cost and scope in four development aspects: improving (a) team
abilities, (b)management of requirements, (c) quality of the code developed,
and (d) delivery of software on-budget and on-time.


title: On bounded pseudodifferential operators in a high-dimensional setting

abstract:
  This work is concerned with extending the results of Calder\' on and
Vaillancourt proving the boundedness of Weyl pseudo differential operators
Op_h^{weyl} (F) in L^2(\R^n). We state conditions under which the norm of such
operators has an upper bound independent of n. To this aim, we apply a
decomposition of the identity to the symbol F, thus obtaining a sum of
operators of a hybrid type, each of them behaving as a Weyl operator with
respect to some of the variables and as an anti-Wick operator with respect to
the other ones. Then we establish upper bounds for these auxiliary operators,
using suitably adapted classical methods like coherent states.


title: Orbital instability and the loss of quantum coherence

abstract:
  We compare quantum decoherence in generic regular and chaotic systems that
interact with a thermal reservoir via a dipole coupling. Using a
time-dependent, self-consistent approximation in the spirit of Hartree, we
derive in the high temperature limit an expression for the off-diagonal
elements of the system density operator that initially corresponds to a
coherent superposition of two adjacent wave packets. We relate the decoherence
rate to the Lyapunov exponent in the Ehrenfest regime. In this regime, the
greater the instability of the system the faster the loss of coherence occurs.


title:
Rashba spin-orbit coupling effects in quasiparticle interference of
  non-centrosymmetric superconductors

abstract:
  The theory of quasiparticle interference (QPI) for non-centrosymmetric (NCS)
superconductors with Rashba spin-orbit coupling is developed using T-matrix
theory in Born approximation. We show that qualitatively new effects in the QPI
pattern originate from the Rashba spin-orbit coupling: The resulting spin
coherence factors lead to a distinct difference of charge- and spin- QPI and to
an induced spin anisotropy in the latter even for isotropic magnetic impurity
scattering. In particular a cross - QPI appears describing the spin oscillation
pattern due to nonmagnetic impurity scattering which is directly related to the
Rashba vector. We apply our theory to a 2D model for the NCS heavy fermion
unconventional superconductor CePt$_3$Si and discuss the new QPI features for a
gap model with accidental node lines due to its composite singlet-triplet
nature.


title: Prospects for cool white dwarf science from Pan-STARRS

abstract:
  We discuss the prospects for new deep, wide-angle surveys of the Galactic
cool white dwarf populations using data from Pan-STARRS: the Panoramic Survey
Telescope & Rapid Response System.


title:
Exposing points on the boundary of a strictly pseudoconvex or a locally
  convexifiable domain of finite 1-type

abstract:
  We show that for any bounded domain $\Omega\subset\Cp ^n$ of 1-type $2k $
which is locally convexifiable at $p\in b\Omega$, having a Stein neighborhood
basis, there is a biholomorphic map $f:\bar{\Omega}\rightarrow \Cp ^n $ such
that $f(p)$ is a global extreme point of type $2k$ for $f{(\bar\Omega)}$.


title: Generation of two-mode entangled states by quantum reservoir engineering

abstract:
  A method for generating entangled cat states of two modes of a microwave
cavity field is proposed. Entanglement results from the interaction of the
field with a beam of atoms crossing the microwave resonator, giving rise to
non-unitary dynamics of which the target entangled state is a fixed point. We
analyse the robustness of the generated two-mode photonic "cat state" against
dephasing and losses by means of numerical simulation. This proposal is an
instance of quantum reservoir engineering of photonic systems.


title: On the temperature structure of the Galactic Centre cloud G0.253+0.016

abstract:
  We present a series of smoothed particle hydrodynamical models of
G0.253+0.016 (also known as 'The Brick'), a very dense molecular cloud that
lies close to the Galactic Centre. We explore how its gas and dust temperatures
react as we vary the strength of both the interstellar radiation field (ISRF)
and the cosmic ray ionisation rate (CRIR). As the physical extent of
G0.253+0.016 along our line-of-sight is unknown, we consider two possibilities:
one in which the longest axis is that measured in the plane of the sky (9.4 pc
in length), and one in which it is along the line of sight, in which case we
take it to be 17 pc. To recover the observed gas and dust temperatures, we find
find that the ISRF must be around 1000 times the solar neighbourhood value, and
the CRIR must be roughly 1E-14 /s, regardless of the geometries studied. For
such high values of the CRIR, we find that cooling in the cloud's interior is
dominated by neutral oxygen, in contrast to standard molecular clouds, which at
the same densities are mainly cooled via CO. Our results suggest that the
conditions near G0.253+0.016 are more extreme than those generally accepted for
the inner 500 pc of the galaxy.


title:
On the characterization of drilling rotation in the 6-parameter
  resultant shell theory

abstract:
  We analyze geometrically non-linear isotropic elastic shells and prove the
existence of minimizers. In general, the model takes into account the effect of
drilling rotations in shells. For the special case of shells without drilling
rotations we present a representation theorem for the strain energy function.


title: On the M31 Nova Progenitor Population

abstract:
  We present a survey of M31 novae in quiescence. This is the first catalogue
of extragalactic systems in quiescence and contains 37 spectroscopically
confirmed novae from 2006 to 2013. We used Liverpool Telescope and Faulkes
Telescope North images taken during outburst to identify accurate positions for
each system. These positions were then transformed to archival Hubble Space
Telescope (HST) images and we performed photometry on any resolvable source
that was consistent with the transformed positions. As red giants in M31 will
be resolvable in the HST images, we can detect systems with red giant
secondaries. There are only a few confirmed examples of such systems in our
Galaxy (e.g. RS Oph and T CrB). However, we find a much higher portion of the
nova population in M31 may contain red giant secondaries. For some novae,
coincident HST images had been taken when the nova was still fading, allowing
us to produce light curves that go fainter than is possible to achieve for most
extragalactic systems. Finally, we compare the M31 and Galactic quiescent nova
populations.


title:
Controlling single-photon transport in waveguides with finite
  cross-section

abstract:
  We study the transverse-size effect of a quasi-one-dimensional rectangular
waveguide on the single-photon scattering on a two-level system. We calculate
the transmission and reflection coefficients for single incident photons using
the scattering formalism based on the Lippmann-Schwinger equation. When the
transverse size of the waveguide is larger than a critical size, we find that
the transverse mode will be involved in the single-photon scattering. Including
the coupling to a higher traverse mode, we find that the photon in the lowest
channel will be lost into the other channel, corresponding to the other
transverse modes, when the input energy is larger than the maximum bound-state
energy. Three kinds of resonance phenomena are predicted: single-photon
resonance, photonic Feshbach resonance, and cutoff (minimum) frequency
resonance. At these resonances, the input photon is completely reflected.


title: The large D limit of dimensionally continued gravity

abstract:
  In a recent paper [arXiv:1302.6382] Emparan, Suzuki, and Tanabe studied
general relativity in the limit in which the number of spacetime dimensions D
tends to infinity. They showed that, in such limit, the theory simplifies
notably. It reduces to a theory whose fundamental objects, black holes and
black branes, behave as non-interacting particles. Here, we consider a
different way of extending gravity to D dimensions. We present a special limit
of dimensionally continued gravity in which black holes retain their
gravitational interaction at large D and still have entropy proportional to the
mass. The similarities and differences with the limit considered in
[arXiv:1302.6382] are discussed.


title: Unitary Similarity of Nonderogatory Matrices

abstract:
  This paper is dedicated to the problem of verification of matrices for
unitary similarity. For the case of nonderogatory matrices, we have been able
to present the new solution for this problem based on geometric approach. The
main advantage of this approach is stability with respect to errors in the
initial upper triangular matrix. Since an upper triangular form is usually
obtained by approximate methods (e.g. by QR algorithm), the mentioned advantage
seems even more significant and allows us to propose the numerically stable and
efficient method for verification of matrices for unitary similarity.


title:
Cation diffusion and hybridization effects at the Mn-GaSe(0001)
  interface probed by soft X-ray electron spectroscopies

abstract:
  The electronic properties of the Mn:GaSe interface, produced by evaporating
Mn at room temperature on an epsilon-GaSe(0001) single crystal surface, have
been studied by soft X-ray spectroscopies. Substitutional effects of Mn
replacing Ga cations and Mn-Se hybridization effects are found both in core
level and valence band photoemission spectra. The Mn cation valence state is
probed by XAS measurements at the Mn L-edge, which indicate that Mn diffuses
into the lattice as a Mn2+ cation with negligible crystal field effects. The Mn
spectral weight in the valence band is probed by resonant photoemission
spectroscopy at the Mn L-edge, which also allowed an estimation of the charge
transfer and Mott-Hubbard energies on the basis of impurity-cluster
configuration-interaction model of the photoemission process. The charge
transfer energy is found to scale with the energy gap of the system. Competing
effects of Mn segregation on the surface have been identified, and the
transition from the Mn diffusion through the surface to the segregation of
metallic layers on the surface has been tracked by core-level photoemission.


title: Proper motions of Upper Sco T-type candidates

abstract:
  We present new z- and H-band photometry and proper motion measurements for
the five candidate very-low-mass T-type objects we recently proposed to be
members of the nearest OB association to the Sun, Upper Scorpius. These new
data fail to corroborate our prior conclusions regarding their spectral types
and affiliation with the Upper Scorpius population. We conclude that we may be
in presence of a turnover in the mass function of Upper Sco taking place below
10-4 Jupiter masses, depending on the age assigned to Upper Sco and the models
used.


title:
Sutured Khovanov homology, Hochschild homology, and the Ozsvath-Szabo
  spectral sequence

abstract:
  In 2001, Khovanov and Seidel constructed a faithful action of the
(m+1)-strand braid group on the derived category of left modules over a quiver
algebra, A_m. We interpret the Hochschild homology of the Khovanov-Seidel braid
invariant as a direct summand of the sutured Khovanov homology of the annular
braid closure.


title:
Classification of normal toric varieties over a valuation ring of rank
  one

abstract:
  Normal toric varieties over a field or a discrete valuation ring are
classified by rational polyhedral fans. We generalize this classification to
normal toric varieties over an arbitrary valuation ring of rank one. The proof
is based on a generalization of Sumihiro's theorem to this non-noetherian
setting. These toric varieties play an important role for tropicalizations.


title: Optimal switching control design for polynomial systems: an LMI approach

abstract:
  We propose a new LMI approach to the design of optimal switching sequences
for polynomial dynamical systems with state constraints. We formulate the
switching design problem as an optimal control problem which is then relaxed to
a linear programming (LP) problem in the space of occupation measures. This
infinite-dimensional LP can be solved numerically and approximately with a
hierarchy of convex finite-dimensional LMIs. In contrast with most of the
existing work on LMI methods, we have a guarantee of global optimality, in the
sense that we obtain an asympotically converging (i.e. with vanishing
conservatism) hierarchy of lower bounds on the achievable performance. We also
explain how to construct an almost optimal switching sequence.