title:
Search Optimization for Minimum Load under Detection Performance
  Constraints in Multifunction Radars

abstract:
  This paper presents a solution procedure of search parameter optimization for
minimum load ensuring desired one-off and cumulative probabilities of detection
in a multifunction phased array radar. The key approach is to convert this
nonlinear optimization on four search parameters into a scalar optimization on
signal-to-noise ratio by a semi-analytic process based on subproblem
decomposition. The efficacy of the proposed solution approach is verified with
theoretical analysis and numerical case studies.


title: Evolutionary dynamics in finite populations with zealots

abstract:
  We investigate evolutionary dynamics of two-strategy matrix games with
zealots in finite populations. Zealots are assumed to take either strategy
regardless of the fitness. When the strategy selected by the zealots is the
same, the fixation of the strategy selected by the zealots is a trivial
outcome. We study fixation time in this scenario. We show that the fixation
time is divided into three main regimes, in one of which the fixation time is
short, and in the other two the fixation time is exponentially long in terms of
the population size. Different from the case without zealots, there is a
threshold selection intensity below which the fixation is fast for an arbitrary
payoff matrix. We illustrate our results with examples of various social
dilemma games.


title: Multi-bifurcations of Wavefronts on r-corners

abstract:
  We extend the notion of reticular Legendrian unfoldings in order to
investigate multi-time bifurcations of wavefronts generated by an r-corner. We
give a classification list of generic and stable bifurcations with two time
parameter and give all generic figures in the plane and the space.


title:
Relations between strong high-frequency microwave bursts and proton
  events

abstract:
  Proceeding from close association between solar eruptions, flares, shock
waves, and CMEs, we analyze relations between bursts at 35 GHz recorded with
the Nobeyama Radio Polarimeters during 1990-2012, on the one hand, and solar
energetic particle (SEP) events, on the other hand. Most west to moderately
east solar events with strong bursts at 35 GHz produced near-Earth proton
enhancements of J(E > 100 MeV) > 1 pfu. The strongest and hardest those caused
ground level enhancements. There is a general, although scattered,
correspondence between proton enhancements and peak fluxes at 35 GHz,
especially pronounced if the 35 GHz flux exceeds 10^4 sfu and the microwave
peak frequency is high. These properties indicate emission from numerous
high-energy electrons in very strong magnetic fields suggesting a high rate of
energy release in the flare-CME formation process. Flaring above the sunspot
umbrae appears to be typical of such events. Irrespective of the origin of
SEPs, these circumstances demonstrate significant diagnostic potential of
high-frequency microwave bursts and sunspot-associated flares for space weather
forecasting. Strong prolonged bursts at 35 GHz promptly alert to hazardous SEP
events with hard spectra. A few exceptional events with moderate bursts at 35
GHz and strong proton fluxes look challenging and should be investigated.


title: Hexagon functions and the three-loop remainder function

abstract:
  We present the three-loop remainder function, which describes the scattering
of six gluons in the maximally-helicity-violating configuration in planar N=4
super-Yang-Mills theory, as a function of the three dual conformal cross
ratios. The result can be expressed in terms of multiple Goncharov
polylogarithms. We also employ a more restricted class of "hexagon functions"
which have the correct branch cuts and certain other restrictions on their
symbols. We classify all the hexagon functions through transcendental weight
five, using the coproduct for their Hopf algebra iteratively, which amounts to
a set of first-order differential equations. The three-loop remainder function
is a particular weight-six hexagon function, whose symbol was determined
previously. The differential equations can be integrated numerically for
generic values of the cross ratios, or analytically in certain kinematics
limits, including the near-collinear and multi-Regge limits. These limits allow
us to impose constraints from the operator product expansion and multi-Regge
factorization directly at the function level, and thereby to fix uniquely a set
of Riemann-zeta-valued constants that could not be fixed at the level of the
symbol. The near-collinear limits agree precisely with recent predictions by
Basso, Sever and Vieira based on integrability. The multi-Regge limits agree
with the factorization formula of Fadin and Lipatov, and determine three
constants entering the impact factor at this order. We plot the three-loop
remainder function for various slices of the Euclidean region of positive cross
ratios, and compare it to the two-loop one. For large ranges of the cross
ratios, the ratio of the three-loop to the two-loop remainder function is
relatively constant, and close to -7.


title: An Improved Temporal Formulation of Pupal Transpiration in Glossina

abstract:
  The temporal aspect of a model of pupal dehydration is improved upon. The
observed dependence of pupal transpiration on time is attributed to an
alternation between two, essential modes, for which the deposition of a thin,
pupal skin inside the puparium and its subsequent demise are thought to be
responsible. For each mode of transpiration, the results of the Bursell (1958)
investigation into pupal dehydration are used as a rudimentary data set. These
data are generalised to all temperatures and humidities by invoking the
property of multiplicative separability. The problem, then, is that as the
temperature varies with time, so does the metabolism and the developmental
stages to which the model data pertain, must necessarily warp. The
puparial-duration formula of Phelps and Burrows (1969) and Hargrove (2004) is
exploited to facilitate a mapping between the constant-temperature time domain
of the data and that of some, more general case at hand. The resulting,
Glossina morsitans model is extrapolated to other species using their relative
surface areas, their relative protected and unprotected transpiration rates and
their different fourth instar excretions (drawing, to a lesser extent, from the
data of Buxton and Lewis, 1934). In this way the problem of pupal dehydration
is formulated as a series of integrals and the consequent survival can be
predicted. The discovery of a distinct definition for hygrophilic species,
within the formulation, prompts the investigation of the hypothetical effect of
a two-day heat wave on pupae. This leads to the conclusion that the
classification of species as hygrophilic, mesophilic and xerophilic is largely
true only in so much as their third and fourth instars are and, possibly, the
hours shortly before eclosion.


title: A Model of Teneral Dehydration in Glossina

abstract:
  The results of a long-established investigation into teneral transpiration
are used as a rudimentary data set. These data are not complete in that all are
at 25 $^\circ\mathrm{C}$ and the temperature-dependence cannot, therefore be
resolved. An allowance is, nonetheless, made for the outstanding
temperature-dependent data. The data are generalised to all humidities, levels
of activity and, in theory, temperatures, by invoking the property of
multiplicative separability. In this way a formulation, which is a very simple,
first order, ordinary differential equation, is devised. The model is extended
to include a variety of Glossina species by resorting to their relative,
resting water loss rates in dry air. The calculated, total water loss is
converted to the relevant humidity, at 24 $^\circ\mathrm{C}$, that which
produced an equivalent water loss in the pupa, in order to exploit an adaption
of an established survival relationship. The resulting computational model
calculates total, teneral water loss, consequent mortality and adult
recruitment. Surprisingly, the postulated race against time, to feed, applies
more to the mesophilic and xerophilic species, in that increasing order. So
much so that it is reasonable to conclude that, should Glossina brevipalpis
survive the pupal phase, it will almost certainly survive to locate a host,
without there being any significant prospect of death from dehydration. With
the conclusion of this work comes the revelation that the classification of
species as hygrophilic, mesophilic and xerophilic is largely true only in so
much as their third and fourth instars are and, possibly, the hours shortly
before eclosion.


title: Parametric patterns in optical fiber ring nonlinear resonators

abstract:
  We propose that parametrically excited patterns, also known as Faraday
patterns, can be observed in nonlinear fiber resonators, where the coefficient
of Kerr nonlinearity is periodically varying along the fiber in resonator. We
study the parametric instability analytically on the basis of the Floquet
theory, also numerically, by direct integration of the system. Instead of
classical Faraday wave excitation scenario, where modulation in time causes
formation of patterns in space, here we propose an inverted scenario, where the
modulation in space excites the patterns in time.


title: Ultra-High Density, High-Performance and Energy-Efficient All Spin Logic

abstract:
  All Spin Logic gates employ multiple nano-magnets interacting through
spin-torque using non-magnetic channels. Compactness, non-volatility and
ultra-low voltage operation are some of the attractive features of ASL, while,
low switching-speed (of nano-magnets as compared to CMOS gates) and
static-power dissipation can be identified as the major bottlenecks. In this
work we explore design techniques that leverage the specific device
characteristics of ASL to overcome the inefficiencies and to enhance the merits
of this technology, for a given set of device parameters. We exploit the
non-volatility of nano-magnets to model fully-pipelined ASL that can achieve
higher performance. Clocking of power supply in pipelined ASL would require
CMOS transistors that may consume significantly large voltage headroom and
area, as compared to the nano-magnets. We show that the use of leaky
transistors can significantly mitigate such bottlenecks, without sacrificing
energy-efficiency and robustness. Exploiting the inherent isolation between the
biasing charge current and spin-current paths in ASL, we propose to stack
multiple ASL metal layers, leading to ultra-high-density and energy-efficient
3-D computation blocks. Results for the design of an FIR filter show that ASL
can achieve performance and power consumption comparable to CMOS while the
ultra-high-density of ASL can be projected as its main advantage over CMOS.


title: On the determinant of the distance matrix of a bicyclic graph

abstract:
  Two cycles are referred as disjoint if they have no common edges. In this
paper, we will investigate the determinant of the distance matrix of a graph,
giving a formula for the determinant of the distance matrix of a bicyclic graph
whose two cycles are disjoint, which extends the formula for the determinant of
the distance matrix of a tree, as well as that of a unicyclic graph.


title:
Large deviations for simple random walk on percolations with long-range
  correlations

abstract:
  We show quenched large deviations for the simple random walk on a certain
class of percolations with long-range correlations. This class contains the
supercritical Bernoulli percolations, the model considered by Drewitz, R'ath
and Sapozhnikov and the random-cluster model up to the slab critical point. Our
result is an extension of Kubota's result for the supercritical Bernoulli
percolations. We also state a shape theorem for the chemical distance, which is
an extension of Garet and Marchand's result for the supercritical Bernoulli
percolations.


title:
Measurements of Coronal and Chromospheric Magnetic Fields using
  Polarization Observations by the Nobeyama Radioheliograph

abstract:
  Coronal and chromospheric magnetic fields are derived from polarization and
spectral observations of the thermal free-free emission using the Nobeyama
Radioheliograph (NoRH). In magnetized plasma, the ordinary and extraordinary
modes of free-free emission have different optical depths. This creates a
circularly polarized component in an atmosphere with a temperature gradient. We
observed an active region on April 13, 2012 to derive its coronal and
chromospheric magnetic fields. The observed degree of circular polarization was
between 0.5 % and 1.7 %. The radio circular polarization images were compared
with ultraviolet images observed by the Atmospheric Imaging Assembly and the
photospheric magnetic field observed by the Helioseismic and Magnetic Imager,
both on board the Solar Dynamic Observatory. At the edge of the active region,
the radio circular polarization was emitted mainly from coronal loops, and the
coronal magnetic field was derived to be about 70 G. At the center of the
active region, the chromospheric and coronal components cannot be separated.
The derived magnetic field is about 20 % to 50 % of the corresponding
photospheric magnetic field, which is an emission-measure-weighted average of
the coronal and chromospheric magnetic fields.


title:
Strong Ground Motion in the 2011 Tohoku Earthquake: a 1Directional -
  3Component Modeling

abstract:
  Local wave amplification due to strong seismic motions in surficial
multilayered soil is influenced by several parameters such as the wavefield
polarization and the dynamic properties and impedance contrast between soil
layers. The present research aims at investigating seismic motion amplification
in the 2011 Tohoku earthquake through a one-directional three-component (1D-3C)
wave propagation model. A 3D nonlinear constitutive relation for dry soils
under cyclic loading is implemented in a quadratic line finite element model.
The soil rheology is modeled by mean of a multi-surface cyclic plasticity model
of the Masing-Prandtl-Ishlinskii-Iwan (MPII) type. Its major advantage is that
the rheology is characterized by few commonly measured parameters. Ground
motions are computed at the surface of soil profiles in the Tohoku area (Japan)
by propagating 3C signals recorded at rock outcrops, during the 2011 Tohoku
earthquake. Computed surface ground motions are compared to the Tohoku
earthquake records at alluvial sites and the reliability of the 1D-3C model is
corroborated. The 1D-3C approach is compared with the combination of three
separate one-directional analyses of one motion component propagated
independently (1D-1C approach). The 3D loading path due to the 3C-polarization
leads to multiaxial stress interaction that reduces soil strength and increases
nonlinear effects. Time histories and spectral amplitudes, for the Tohoku
earthquake, are numerically reproduced. The 1D-3C approach allows the
evaluation of various parameters of the 3C motion and 3D stress and strain
evolution all over the soil profile.


title: Analysis of reinforced concrete shells with transverse shear forces

abstract:
  This research investigates the simultaneous effect of in-plane and transverse
loads in reinforced concrete shells. The infinitesimal shell element is divided
into layers (with triaxial behavior) that are analyzed according to the smeared
rotating crack approach. The set of internals forces includes the derivatives
of the in-plane components. The corresponding generalized strains are
determined using an extension of the equivalent section method, valid for
shells. The formulation yields through-the-thickness distributions of stresses
and strains and the spatial orientation of the concrete struts. Although some
simplifications are necessary to establish a practical first-order
approximation, higher-order solutions could be developed. Despite the fact that
constitutive matrices are not symmetric, because of the tension-softening
formulation, the equilibrium and compatibility conditions are satisfied, the
stiffness derivatives are explicitly calculated and the algorithms show good
convergence. The formulation predicts results that agree with experimental data
obtained by other researchers. Although comparative analysis with additional
experimental data is still necessary, the proposed theory provides a promising
solution for the design of reinforced concrete shells.


title: A tau-conjecture for Newton polygons

abstract:
  One can associate to any bivariate polynomial P(X,Y) its Newton polygon. This
is the convex hull of the points (i,j) such that the monomial X^i Y^j appears
in P with a nonzero coefficient. We conjecture that when P is expressed as a
sum of products of sparse polynomials, the number of edges of its Newton
polygon is polynomially bounded in the size of such an expression. We show that
this "tau-conjecture for Newton polygons," even in a weak form, implies that
the permanent polynomial is not computable by polynomial size arithmetic
circuits. We make the same observation for a weak version of an earlier "real
tau-conjecture." Finally, we make some progress toward the tau-conjecture for
Newton polygons using recent results from combinatorial geometry.


title: Electronic orbital angular momentum and magnetism of graphene

abstract:
  Orbital angular momentum (OAM) of graphene electrons in a perpendicular
magnetic field is calculated and corresponding magnetic moment is used to
investigate the magnetism of perfect graphene. Variation in magnetization
demonstrates its decrease with carrier-doping, plateaus in a large field, and
de Haas-van Alphen oscillation. Regulation of magnetism by a parallel electric
field is presented. The OAM originates from atomic-scale electronic motion in
graphene lattice, and vector hopping interaction between carbon atomic orbitals
is the building element. A comparison between OAM of graphene electrons, OAM of
Dirac fermions, and total angular momentum of the latter demonstrates their
different roles in magnetism of graphene. Applicability and relation to
experiments of the results are discussed.


title:
Periodic waves in two-component Bose-Einstein condensates with repulsive
  interactions between atoms

abstract:
  We consider periodic waves in miscible two-component Bose-Einstein
condensates with repulsive nonlinear interactions constants. Exact one-phase
solution is found for the case when all these constants are equal to each other
(i.e., for Manakov limit). New types of nonlinear polarization waves are
considered in detail. The connection of the solutions found with experimentally
observed periodic structures in two-component condensates is discussed.


title:
Measurement of X-ray Photon Energy and Arrival Time Using a Silicon
  Drift Detector

abstract:
  Detecting the X-ray radialization of pulsars and obtaining the photons' time
of arrival are the foundation steps in autonomous navigation via X-ray pulsar
measurement. The precision of a pulse' s time of arrival is mainly decided by
the precision of photon arrival time. In this work, a silicon drift detector is
used to measure photon energy and arrival time. The measurement system consists
of a signal detector, a processing unit, a signal acquisition unit, and a data
receiving unit. This system acquires the energy resolution and arrival time
information of photons. In particular, when background noise with different
energies disturbs epoch folding, the system can acquire a high signal-to-noise
ratio pulse profile. Ground test results show that this system can be applied
in autonomous navigation using X-ray pulsar measurement as payload.


title: Heat Capacity of Single Crystal CuxTiSe2 Superconductors

abstract:
  We present heat capacity measurements on a series of superconducting
Cu$_x$TiSe$_2$ single crystals with different Cu content down to 600 mK and up
to 1 T performed by ac microcalorimetry. The samples cover a large portion of
the phase diagram from an underdoped to a slightly overdoped region with an
increasing superconducting critical temperature and the charge density wave
(CDW) order gradually suppressed. The electronic heat capacity as a function of
normalized temperature $T/T_c$ shows no difference regardless of the
concentration of copper, i.e., regardless of how much the CDW order is
developed in the samples. The data analysis reveals consistently a single
s-wave gap with an intermediate coupling strength $2\Delta/k_BT_c$ = 3.7 for
all samples.


title: Compressive Sampling for Networked Feedback Control

abstract:
  We investigate the use of compressive sampling for networked feedback control
systems. The method proposed serves to compress the control vectors which are
transmitted through rate-limited channels without much deterioration of control
performance. The control vectors are obtained by an L1-L2 optimization, which
can be solved very efficiently by FISTA (Fast Iterative Shrinkage-Thresholding
Algorithm). Simulation results show that the proposed sparsity-promoting
control scheme gives a better control performance than a conventional
energy-limiting L2-optimal control.


title:
Fast image segmentation and restoration using parametric curve evolution
  with junctions and topology changes

abstract:
  Curve evolution schemes for image segmentation based on a region based
contour model allowing for junctions, vector-valued images and topology changes
are introduced. Together with an a posteriori denoising in the segmented
homogeneous regions this leads to a fast and efficient method for image
segmentation and restoration. An uneven spread of mesh points is avoided by
using the tangential degrees of freedom. Several numerical simulations on
artificial test problems and on real images illustrate the performance of the
method.


title:
Recovery of Low-Rank Matrices under Affine Constraints via a Smoothed
  Rank Function

abstract:
  In this paper, the problem of matrix rank minimization under affine
constraints is addressed. The state-of-the-art algorithms can recover matrices
with a rank much less than what is sufficient for the uniqueness of the
solution of this optimization problem. We propose an algorithm based on a
smooth approximation of the rank function, which practically improves recovery
limits on the rank of the solution. This approximation leads to a non-convex
program; thus, to avoid getting trapped in local solutions, we use the
following scheme. Initially, a rough approximation of the rank function subject
to the affine constraints is optimized. As the algorithm proceeds, finer
approximations of the rank are optimized and the solver is initialized with the
solution of the previous approximation until reaching the desired accuracy.
  On the theoretical side, benefiting from the spherical section property, we
will show that the sequence of the solutions of the approximating function
converges to the minimum rank solution. On the experimental side, it will be
shown that the proposed algorithm, termed SRF standing for Smoothed Rank
Function, can recover matrices which are unique solutions of the rank
minimization problem and yet not recoverable by nuclear norm minimization.
Furthermore, it will be demonstrated that, in completing partially observed
matrices, the accuracy of SRF is considerably and consistently better than some
famous algorithms when the number of revealed entries is close to the minimum
number of parameters that uniquely represent a low-rank matrix.


title: Countermeasure against tailored bright illumination attack for DPS-QKD

abstract:
  We propose a countermeasure against the so-call tailored bright illumination
attacl dor Differential-Phase-Shift QKD (DPS-QKD). By Monitoring a rate of
coincidence detection at a pair of superconducting nanowire single photon
detectors (SSPDs) which is connected at each of the output ports of Bob's
Mach-Zehnder interferometer, Alice and Bob can detect and defeat this kind of
attack.


title:
Characteristics of superconducting single photon detector in DPS-QKD
  system under bright illumination blinding attack

abstract:
  We derive the time-dependent photo-detection probability equation of a
superconducting single photon detector (SSPD) to study the responsive property
for a pulse train at high repetition rate. Using this equation, we analyze the
characteristics of SSPDs when illuminated by bright pulses in blinding attack
on a quantum key distribution (QKD). We obtain good agreement between expected
values based on our equation and actual experimental values. Such a
time-dependent probability analysis contributes to security analysis.


title:
KELT-6b: A P~7.9 d Hot Saturn Transiting a Metal-Poor Star with a
  Long-Period Companion

abstract:
  We report the discovery of KELT-6b, a mildly-inflated Saturn-mass planet
transiting a metal-poor host. The initial transit signal was identified in
KELT-North survey data, and the planetary nature of the occulter was
established using a combination of follow-up photometry, high-resolution
imaging, high-resolution spectroscopy, and precise radial velocity
measurements. The fiducial model from a global analysis including constraints
from isochrones indicates that the V=10.38 host star (BD+31 2447) is a mildly
evolved, late-F star with T_eff=6102 \pm 43 K, log(g_*)=4.07_{-0.07}^{+0.04}
and [Fe/H]=-0.28 \pm 0.04, with an inferred mass M_*=1.09 \pm 0.04 M_sun and
radius R_star=1.58_{-0.09}^{+0.16} R_sun. The planetary companion has mass
M_P=0.43 \pm 0.05 M_J, radius R_P=1.19_{-0.08}^{+0.13} R_J, surface gravity
log(g_P)=2.86_{-0.08}^{+0.06}, and density rho_P=0.31_{-0.08}^{+0.07}
g~cm^{-3}. The planet is on an orbit with semimajor axis a=0.079 \pm 0.001 AU
and eccentricity e=0.22_{-0.10}^{+0.12}, which is roughly consistent with
circular, and has ephemeris of T_c(BJD_TDB)=2456347.79679 \pm 0.00036 and
P=7.845631 \pm 0.000046 d. Equally plausible fits that employ empirical
constraints on the host star parameters rather than isochrones yield a larger
planet mass and radius by ~4-7%. KELT-6b has surface gravity and incident flux
similar to HD209458b, but orbits a host that is more metal poor than HD209458
by ~0.3 dex. Thus, the KELT-6 system offers an opportunity to perform a
comparative measurement of two similar planets in similar environments around
stars of very different metallicities. The precise radial velocity data also
reveal an acceleration indicative of a longer-period third body in the system,
although the companion is not detected in Keck adaptive optics images.


title: On the Regularity for 3D Navier-Stokes Equation

abstract:
  In this paper we will prove that the vorticity belongs to L1(0; T ;
L2(\Omega)) for 3D incompressible Navier-Stokes equation with periodic
initial-boundary value conditions, then the existence of a global smooth
solution is obtained. Our approach is to construct a set of auxiliary problems
to approximate the original one of vorticity equation.


title: Metric of two balancing Kerr particles in physical parametrization

abstract:
  The present paper aims at elaborating a completely physical representation
for the general 4-parameter family of the extended double-Kerr spacetimes
describing two spinning sources in gravitational equilibrium. This involved
problem is solved in a concise analytical form by using the individual Komar
masses and angular momenta as arbitrary parameters, and the simplest
equatorially symmetric specialization of the general expressions obtained by us
yields the physical representation for the well-known Dietz-Hoenselaers
superextreme case of two balancing identical Kerr constituents. The existence
of the physically meaningful "black hole-superextreme object" equilibrium
configurations permitted by the general solution may be considered as a clear
indication that the spin-spin repulsion force might actually be by far stronger
than expected earlier, when only the balance between two superextreme Kerr
sources was thought possible. We also present the explicit analytical formulas
relating the equilibrium states in the double-Kerr and
double-Reissner-Nordstr\"om configurations.


title: Lossless Data Compression with Error Detection using Cantor Set

abstract:
  In 2009, a lossless compression algorithm based on 1D chaotic maps known as
Generalized Lur\"{o}th Series (or GLS) has been proposed. This algorithm
(GLS-coding) encodes the input message as a symbolic sequence on an appropriate
1D chaotic map (GLS) and the compressed file is obtained as the initial value
by iterating backwards on the map. For ergodic sources, it was shown that
GLS-coding achieves the best possible lossless compression (in the noiseless
setting) bounded by Shannon entropy. However, in the presence of noise, even
small errors in the compressed file leads to catastrophic decoding errors owing
to sensitive dependence on initial values. In this paper, we first show that
Repetition codes $\mathcal{R}_n$ (every symbol is repeated $n$ times, where $n$
is a positive odd integer), the oldest and the most basic error correction and
detection codes in literature, actually lie on a Cantor set with a fractal
dimension of $\frac{1}{n}$, which is also the rate of the code. Inspired by
this, we incorporate error detection capability to GLS-coding by ensuring that
the compressed file (initial value on the map) lies on a Cantor set of measure
zero. Even a 1-bit error in the initial value will throw it outside the Cantor
set which can be detected while decoding. The error detection performance (and
also the rate of the code) can be controlled by the fractal dimension of the
Cantor set and could be suitably adjusted depending on the noise level of the
communication channel.


title: VUV Spectroscopic Study of the BB" 1Su+ State of H2

abstract:
  Spectral lines, probing rotational quantum states J'=0,1,2 of the inner well
vibrations (v' =< 8) in the BB" 1Su+ state of molecular hydrogen, were recorded
in high resolution using a vacuum ultraviolet (VUV) Fourier transform
absorption spectrometer in the wavelength range 73-86 nm. Accurate line
positions and predissociation widths are determined from a fit to the
absorption spectra. Improved values for the line positions are obtained, while
the predissociation widths agree well with previous investigations.


title: Spin transport in Aharonov-Bohm ring with exchange interaction

abstract:
  We investigate spin-dependent conductance through a quantum Aharonov-Bohm
ring containing localized electrons which interact with the propagating flow of
electrons via exchange interaction of the ferromagnetic or antiferromagnetic
type. We analyze the conductance oscillations as a function of both the
chemical potential determined by the concentration of the carriers and external
magnetic field. It is demonstrated that the amplitude of the conductance
oscillations in the ballistic regime is governed by the value of the
non-compensated spin localized in the ring. The results are in agreement with
the concept of fractional quantization of the ballistic conductance, proposed
by us earlier [Phys. Rev. B 71,113311 (2005)].


title:
High-Dimensional Regression with Gaussian Mixtures and Partially-Latent
  Response Variables

abstract:
  In this work we address the problem of approximating high-dimensional data
with a low-dimensional representation. We make the following contributions. We
propose an inverse regression method which exchanges the roles of input and
response, such that the low-dimensional variable becomes the regressor, and
which is tractable. We introduce a mixture of locally-linear probabilistic
mapping model that starts with estimating the parameters of inverse regression,
and follows with inferring closed-form solutions for the forward parameters of
the high-dimensional regression problem of interest. Moreover, we introduce a
partially-latent paradigm, such that the vector-valued response variable is
composed of both observed and latent entries, thus being able to deal with data
contaminated by experimental artifacts that cannot be explained with noise
models. The proposed probabilistic formulation could be viewed as a
latent-variable augmentation of regression. We devise expectation-maximization
(EM) procedures based on a data augmentation strategy which facilitates the
maximum-likelihood search over the model parameters. We propose two
augmentation schemes and we describe in detail the associated EM inference
procedures that may well be viewed as generalizations of a number of EM
regression, dimension reduction, and factor analysis algorithms. The proposed
framework is validated with both synthetic and real data. We provide
experimental evidence that our method outperforms several existing regression
techniques.


title:
A large energy-gap oxide topological insulator based on the
  superconductor BaBiO3

abstract:
  Mixed-valent perovskite oxides based on BaBiO3 (BBO) are, like cuperates,
well-known high-Tc superconductors. Recent ab inito calculations have assigned
the high-Tc superconductivity to a correlation-enhanced electron--phonon
coupling mechanism, stimulating the prediction and synthesis of new
superconductor candidates among mixed-valent thallium perovskites. Existing
superconductivity has meant that research has mainly focused on hole-doped
compounds, leaving electron-doped compounds relatively unexplored. Here we
demonstrate through ab inito calculations that BBO emerges as a topological
insulator (TI) in the electron-doped region, where the spin-orbit coupling
(SOC) effect is significant. BBO exhibits the largest topological energy gap of
0.7 eV among currently known TI materials, inside which Dirac-type topological
surface states (TSSs) exit. As the first oxide TI, BBO is naturally stable
against surface oxidization and degrading, different from chalcoginide TIs. An
extra advantage of BBO lies in its ability to serve an interface between the
TSSs and the superconductor for the realization of Majorana Fermions.


title: From the crust to the core of Neutron Stars on a microscopic basis

abstract:
  Within a microscopic approach the structure of Neutron Stars is usually
studied by modelling the homogeneous nuclear matter of the core by a suitable
Equation of State, based on a many-body theory, and the crust by a functional
based on a more phenomenological approach. We present the first calculation of
Neutron Star overall structure by adopting for the core an Equation of State
derived from the Brueckner-Hartree-Fock theory and for the crust, including the
pasta phase, an Energy Density Functional based on the same Equation of State,
and which is able to describe accurately the binding energy of nuclei
throughout the mass table. Comparison with other approaches is discussed. The
relevance of the crust Equation of state for the Neutron Star radius is
particularly emphasised.


title: The Quantum State of Classical Matter I: Solids and Measurements

abstract:
  Using the kinematic constraints of classical bodies we construct the
allowable wavefunctions corresponding to classical solids. These are shown to
be long lived metastable states that are qualitatively far from eigenstates of
the true Hamiltonian. Extensions of this give an explicit description of phonon
oscillations in terms of the wavefunction itself and some consequences for the
general validity of the quasiparticle picture are presented. An intrinsic
theory of quantum measurement naturally arises based on Schr\"{o}dinger
evolution that is local, consistent with relativity and extends to the case of
noninertial and deformable measurement devices that can have time changing
internal properties. This theory agrees with the Born interpretation in the
limit of static measuring devices. Care is given to the transport of conserved
quantities during measurement.


title:
Structural and electronic properties of hybrid graphene and boron
  nitride nanostructures on Cu

abstract:
  Recently, two-dimensional nanostructures consisting of alternating graphene
and boron nitride (BN) domains have been synthesized. These systems possess
interesting electronic and mechanical properties, with potential applications
in electronics and optical devices. Here, we perform a first-principles
investigation of models of BN-C hybrid monolayers and nanoribbons deposited on
the Cu(111) surface, a substrate used for their growth in said experiments. For
the sake of comparison, we also consider BN and BC2N nanostructures. We show
that BN and BC2N monolayers bind weakly to Cu(111), whereas monolayers with
alternating domains interact strongly with the substrate at the B-C interface,
due to the presence of localized interface states. This binding leads to a
deformation of the monolayers and sizable n-doping. Nanoribbons exhibit a
similar behaviour. Furthermore, they also interact significantly with the
substrate at the edge, even in the case of passivated edges. These findings
suggest a route to tune the band gap and doping level of BN-C hybrid models
based on the interplay between nanostructuring and substrate-induced effects.


title:
Finite Element Model Updating Using Fish School Search Optimization
  Method

abstract:
  A recent nature inspired optimization algorithm, Fish School Search (FSS) is
applied to the finite element model (FEM) updating problem. This method is
tested on a GARTEUR SM-AG19 aeroplane structure. The results of this algorithm
are compared with two other metaheuristic algorithms; Genetic Algorithm (GA)
and Particle Swarm Optimization (PSO). It is observed that on average, the FSS
and PSO algorithms give more accurate results than the GA. A minor modification
to the FSS is proposed. This modification improves the performance of FSS on
the FEM updating problem which has a constrained search space.


title: A longwave model for strongly anisotropic growth of a crystal step

abstract:
  A continuum model for the dynamics of a single step with the strongly
anisotropic line energy is formulated and analyzed. The step grows by
attachment of adatoms from the lower terrace, onto which atoms adsorb from a
vapor phase or from a molecular beam, and the desorption is non-negligible (the
"one-sided" model). Via a multi-scale expansion, we derived a longwave,
strongly nonlinear, and strongly anisotropic evolution PDE for the step
profile. Written in terms of the step slope, the PDE can be represented in the
form similar to a convective Cahn-Hilliard equation. We performed the linear
stability analysis and computed the nonlinear dynamics. Linear stability
depends on whether the stiffness is minimum or maximum in the direction of the
step growth. It also depends nontrivially on the combination of the anisotropy
strength parameter and the atomic flux from the terrace to the step.
Computations show formation and coarsening of a hill-and-valley structure
superimposed onto a large-wavelength profile, which independently coarsens.
Coarsening laws for the hill-and-valley structure are computed for two
principal orientations of a maximum step stiffness, the increasing anisotropy
strength, and the varying atomic flux.

categories: nlin.PS cond-mat.mtrl-sci cond-mat.stat-mech math-ph math.MP


title:
Applying the Negative Selection Algorithm for Merger and Acquisition
  Target Identification

abstract:
  In this paper, we propose a new methodology based on the Negative Selection
Algorithm that belongs to the field of Computational Intelligence,
specifically, Artificial Immune Systems to identify takeover targets. Although
considerable research based on customary statistical techniques and some
contemporary Computational Intelligence techniques have been devoted to
identify takeover targets, most of the existing studies are based upon multiple
previous mergers and acquisitions. Contrary to previous research, the novelty
of this proposal lies in its ability to suggest takeover targets for novice
firms that are at the beginning of their merger and acquisition spree. We first
discuss the theoretical perspective and then provide a case study with details
for practical implementation, both capitalizing from unique generalization
capabilities of artificial immune systems algorithms.


title: Mining Positive and Negative Association Rules Using CoherentApproach

abstract:
  In the data mining field, association rules are discovered having domain
knowledge specified as a minimum support threshold. The accuracy in setting up
this threshold directly influences the number and the quality of association
rules discovered. Typically, before association rules are mined, a user needs
to determine a support threshold in order to obtain only the frequent item
sets. Having users to determine a support threshold attracts a number of
issues. We propose an association rule mining framework that does not require a
per-set support threshold. Often, the number of association rules, even though
large in number, misses some interesting rules and the rules quality
necessitates further analysis. As a result, decision making using these rules
could lead to risky actions.


title: Density-Functional Theory of Thermoelectric Phenomena

abstract:
  We introduce a non-equilibrium density-functional theory of local temperature
and associated local energy density that is suited for the study of
thermoelectric phenomena. The theory rests on a local temperature field coupled
to the energy-density operator. We identify the excess-energy density, in
addition to the particle density, as the basic variable, which is reproduced by
an effective noninteracting Kohn-Sham system. A novel Kohn-Sham equation
emerges featuring a time-dependent and spatially varying mass which represents
local temperature variations. The adiabatic contribution to the Kohn-Sham
potentials is related to the entropy viewed as a functional of the particle and
energy density. Dissipation can be taken into account by employing linear
response theory and the thermoelectric transport coefficients of the electron
gas.


title:
Effect of screening of the electron-phonon interaction on mass
  renormalization and optical conductivity of the Extended Holstein model
  polarons

abstract:
  An interacting electron-phonon system is considered within the Extended
Holstein model at strong coupling regime and nonadiabatic approximation. It is
assumed that screening of an electron-phonon interaction is due to the excess
electrons in a lattice. An influence of the screening on the mass and optical
conductivity of a lattice polarons is studied. A more general form Yukawa-type
electron-phonon interaction potential potential is accepted and corresponding
forces are derived in a lattice. It is emphasized that the screening effect is
more pronounced at the values of screening radius comparable with a lattice
constant. It is shown that the mass of a lattice polaron obtained using
Yukawa-type electron-phonon interaction potential is less renormalized than
those of the early studied works at the same screening regime. Optical
conductivity of lattice polarons is calculated at different screening regimes.
The screening lowers the value of energy that corresponds to the peak of the
optical conductivity curve. The shift (lowering) is more pronounced at small
values of screening radius too. The factors that give rise to this shift is
briefly discussed.


title:
Desired Control of Mutually Delay-Coupled Diode Lasers near Phase-flip
  Transition Regimes

abstract:
  We investigate zero-lag synchronization (ZLS) between delay-coupled diode
lasers system with mutual optical injection in a face-to-face configuration. We
observed numerical evidence of such ZLS without using any relay element or
mediating laser. In addition, simulation also demonstrate that this kind of
robust ZLS occurs around the phase flip transition regimes where in-phase and
anti-phase oscillations coexist due to delayed coupling induced modulation of
the phase-amplitude coupling factor {\alpha}. Our finding could be implemented
in highly secured optical communication network as well as the understanding of
the occurrence of such ZLS in the neural network functionality.


title: Kustaanheimo-Stiefel Regularization and the Quadrupolar Conjugacy

abstract:
  In this note, we present the Kustaanheimo-Stiefel regularization in a
symplectic and quaternionic fashion. The bilinear relation is associated with
the moment map of the $S^{1}$- action of the Kustaanheimo-Stiefel
transformation, which yields a concise proof of the symplecticity of the
Kustaanheimo-Stiefel transformation symplectically reduced by this circle
action. The relation between the Kustaanheimo-Stiefel regularization and the
Levi-Civita regularization is established via the investigation of the
Levi-Civita planes. A set of Darboux coordinates (which we call
Chenciner-F\'ejoz coordinates) is generalized from the planar case to the
spatial case. Finally, we obtain a conjugacy relation between the integrable
approximating dynamics of the lunar spatial three-body problem and its
regularized counterpart, similar to the conjugacy relation between the extended
averaged system and the averaged regularized system in the planar case.


title: Random groups and nonarchimedean lattices

abstract:
  We consider models of random groups in which the typical group is of
intermediate rank (in particular, it is not hyperbolic). These models are
parallel to M. Gromov's well-known constructions and include for example a
"density model" for groups of intermediate rank. The main novelty is the higher
rank nature of the random groups. They are randomization of certain families of
lattices in algebraic groups (of rank 2) over local fields.


title:
On two Thomae-type transformations for hypergeometric series with
  integral parameter differences

abstract:
  We obtain two new Thomae-type transformations for hypergeometric series with
r pairs of numeratorial and denominatorial parameters differing by positive
integers. This is achieved by application of the so-called Beta integral method
developed by Krattenthaler and Rao [Symposium on Symmetries in Science (ed. B.
Gruber), Kluwer (2004)] to two recently obtained Euler-type transformations.
Some special cases are given.


title:
Reconstruction of the primordial power spectrum of curvature
  perturbations using multiple data sets

abstract:
  Detailed knowledge of the primordial power spectrum of curvature
perturbations is essential both in order to elucidate the physical mechanism
(`inflation') which generated it, and for estimating the cosmological
parameters from observations of the cosmic microwave background and large-scale
structure. Hence it ought to be extracted from such data in a model-independent
manner, however this is difficult because relevant cosmological observables are
given by a convolution of the primordial perturbations with some smoothing
kernel which depends on both the assumed world model and the matter content of
the universe. Moreover the deconvolution problem is ill-conditioned so a
regularisation scheme must be employed to control error propagation. We
demonstrate that `Tikhonov regularisation' can robustly reconstruct the
primordial spectrum from multiple cosmological data sets, a significant
advantage being that both its uncertainty and resolution are then quantified.
Using Monte Carlo simulations we investigate several regularisation parameter
selection methods and find that generalised cross-validation and Mallow's $C_p$
method give optimal results. We apply our inversion procedure to data from the
Wilkinson Microwave Anisotropy Probe, other ground-based small angular scale
CMB experiments, and the Sloan Digital Sky Survey. The reconstructed spectrum
(assuming the standard $\Lambda$CDM cosmology) is \emph{not} scale-free but has
an infrared cutoff at $k \lesssim 5 \times 10^{-4}\; \mathrm{Mpc}^{-1}$ (due to
the anomalously low CMB quadrupole) and several features with $\sim 2 \sigma$
significance at $k/\mathrm{Mpc}^{-1} \sim$ 0.0013--0.0025, 0.0362--0.0402 and
0.051--0.056, reflecting the `WMAP glitches'. To test whether these are indeed
real will require more accurate data, such as from the Planck satellite and new
ground-based experiments.


title:
Generation of Massive Entanglement Through Adiabatic Quantum Phase
  Transition in a spinor condensate

abstract:
  We propose a method to generate massive entanglement in a spinor
Bose-Einstein condensate from an initial product state through adiabatic sweep
of magnetic field across a quantum phase transition induced by competition
between the spin-dependent collision interaction and the quadratic Zeeman
effect. The generated many-body entanglement is characterized by the
experimentally measurable entanglement depth in the proximity of the Dicke
state. We show that the scheme is robust to practical noise and experimental
imperfection and under realistic conditions it is possible to generate genuine
entanglement for hundreds of atoms.


title: Generalized ghost-free quadratic curvature gravity

abstract:
  In this paper we study the most general covariant action of gravity up to
terms that are quadratic in curvature. In particular this includes non-local,
infinite derivative theories of gravity which are ghost-free and exhibit
asymptotic freedom in the ultraviolet. We provide a detailed algorithm for
deriving the equations of motion for such actions containing an arbitrary
number of the covariant D'Alembertian operators, and this is our main result.
We also perform a number of tests on the field equations we derive, including
checking the Bianchi identities and the weak-field limit. Lastly, we consider
the special subclass of ghost and asymptotically free theories of gravity by
way of an example.


title: Lift zonoid order and functional inequalities

abstract:
  We introduce the notion of a weighted lift zonoid and show that, for properly
chosen weights v, the ordering condition on a measure \mu, formulated in terms
of the weighted lift zonoids of this measure, leads to certain functional
inequalities for this measure, such as non-linear extensions of Bobkov's shift
inequality and weighted inverse log-Sobolev inequality. The choice of the
weight K, involved in our version of the inverse log-Sobolev inequality,
differs substantially from those available in the literature, and requires the
weight v, involved into the definition of the weighted lift zonoid, to equal
the divergence of the weight K w.r.t. initial measure \mu. We observe that such
a choice may be useful for proving direct log-Sobolev inequality, as well,
either in its weighted or classical forms.


title: Collective dynamics of pedestrians interacting with attractions

abstract:
  In order to investigate collective effects of interactions between
pedestrians and attractions, this study extends the social force model. Such
interactions lead pedestrians to form stable clusters around attractions, or
even to rush into attractions if the interaction becomes stronger. It is also
found that for high pedestrian density and intermediate interaction strength,
some pedestrians rush into attractions while others move to neighboring
attractions. These collective patterns of pedestrian movements or phases and
transitions between them are systematically presented in a phase diagram. The
results suggest that safe and efficient use of pedestrian areas can be achieved
by moderating the pedestrian density and the strength of attractive
interaction, for example, in order to avoid situations involving extreme desire
for limited resources.


title:
Dynamical Casimir Effect in Superradiant Light Scattering by
  Bose-Einstein Condensate in an Optomechanical Cavity

abstract:
  We investigate the effects of dynamical Casimir effect in superradiant light
scattering by Bose-Einstein condensate in an optomechanical cavity. The system
is studied using both classical and quantized mirror motions. The cavity
frequency is harmonically modulated in time for both the cases. The main
quantity of interest is the number of intracavity scattered photons. The system
has been investigated under the weak and strong modulation. It has been
observed that the amplitude of the scattered photons is more for the classical
mirror motion than the quantized mirror motion. Also, initially, the amplitude
of scattered photons is high for lower modulation amplitude than higher
modulation amplitude. We also found that the behaviour of the plots are similar
under strong and weak modulation for the quantized mirror motion.


title: The Spacetime Geometry of a Null Electromagnetic Field

abstract:
  We give a set of local geometric conditions on a spacetime metric which are
necessary and sufficient for it to be a null electrovacuum, that is, the metric
is part of a solution to the Einstein-Maxwell equations with a null
electromagnetic field. These conditions are restrictions on a null congruence
canonically constructed from the spacetime metric, and can involve up to five
derivatives of the metric. The null electrovacuum conditions are counterparts
of the Rainich conditions, which geometrically characterize non-null
electrovacua. Given a spacetime satisfying the conditions for a null
electrovacuum, a straightforward procedure builds the null electromagnetic
field from the metric. Null electrovacuum geometry is illustrated using some
pure radiation spacetimes taken from the literature.


title: Optimal Dynamic Portfolio with Mean-CVaR Criterion

abstract:
  Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) are popular risk
measures from academic, industrial and regulatory perspectives. The problem of
minimizing CVaR is theoretically known to be of Neyman-Pearson type binary
solution. We add a constraint on expected return to investigate the Mean-CVaR
portfolio selection problem in a dynamic setting: the investor is faced with a
Markowitz type of risk reward problem at final horizon where variance as a
measure of risk is replaced by CVaR. Based on the complete market assumption,
we give an analytical solution in general. The novelty of our solution is that
it is no longer Neyman-Pearson type where the final optimal portfolio takes
only two values. Instead, in the case where the portfolio value is required to
be bounded from above, the optimal solution takes three values; while in the
case where there is no upper bound, the optimal investment portfolio does not
exist, though a three-level portfolio still provides a sub-optimal solution.


title: CESR Test Accelerator

abstract:
  The Cornell Electron Storage Ring (CESR) was reconfigured in 2008 as a test
accelerator to investigate the physics of ultra-low emittance damping rings.
During the approximately 40 days/year available for dedicated operation as a
test accelerator, specialized instrumentation is used to measure growth and
mitigation of the electron cloud, emittance growth due to electron cloud,
intra-beam scattering, and ions, and single and multi-bunch instabilities
generated by collective effects. The flexibility of the CESR guide field optics
and the integration of accelerator modeling codes with the control system have
made possible an extraordinary range of experiments. Findings at CesrTA with
respect to electron cloud effects, emittance tuning techniques, and beam
instrumentation for measuring electron cloud, beam sizes, and beam positions
are the basis for much of the design of the ILC damping rings as documented in
the ILC-Technical Design Report. The program has allowed the Cornell group to
cultivate the kind of talent and expertise that will be absolutely essential to
the final engineering design, and commissioning of the damping rings for a
linear collider.


title: Local Variance Gamma and Explicit Calibration to Option Prices

abstract:
  In some options markets (e.g. commodities), options are listed with only a
single maturity for each underlying. In others, (e.g. equities, currencies),
options are listed with multiple maturities. In this paper, we provide an
algorithm for calibrating a pure jump Markov martingale model to match the
market prices of European options of multiple strikes and maturities. This
algorithm only requires solutions of several one-dimensional root-search
problems, as well as application of elementary functions. We show how to
construct a time-homogeneous process which meets a single smile, and a
piecewise time-homogeneous process which can meet multiple smiles.


title:
An effect of the uniaxial strain on the temperature of Bose-Einstein
  condensation of the intersite bipolarons

abstract:
  We have studied an effect of uniaxial strain to the temperature of
Bose-Einstein condensation of intersite bipolarons within the framework of
Extended Holstein-Hubbard model. Uniaxial lattice strains are taken into an
account by introducing a generalized density-displacement type force for
electron-lattice interaction. Associating the superconducting critical
temperature $T_c$ with the temperature of Bose-Einstein condensation $T_{BEC}$
of intersite bipolarons we have calculated strain derivatives of $T_{BEC}$ and
satisfactorily explained the results of the experiments on La-based high-$T_c$
films.


title: Effective Lagrangian for the Polyakov line on a lattice

abstract:
  We formulate a method for computing the effective Lagrangian of the Polyakov
line on the lattice. Using mean field approximation we calculate the effective
potential for high temperatures. The result agrees with recent lattice
simulations. We reveal a new type of ultraviolet divergence (coming from
longitudinal gluons) which dominates the effective potential and explains the
discrepancy of the lattice simulations and standard perturbative calculations
performed in covariant gauges.


title:
Sensitivity Analysis for Inference with Partially Identifiable
  Covariance Matrices

abstract:
  In some multivariate problems with missing data, pairs of variables exist
that are never observed together. For example, some modern biological tools can
produce data of this form. As a result of this structure, the covariance matrix
is only partially identifiable, and point estimation requires that identifying
assumptions be made. These assumptions can introduce an unknown and potentially
large bias into the inference. This paper presents a method based on
semidefinite programming for automatically quantifying this potential bias by
computing the range of possible equal-likelihood inferred values for convex
functions of the covariance matrix. We focus on the bias of missing value
imputation via conditional expectation and show that our method can give an
accurate assessment of the true error in cases where estimates based on
sampling uncertainty alone are overly optimistic.


title:
An approach for studying the influence of uniaxial strain (pressure) on
  the temperature of the Bose-Einstein condensation of intersite bipolarons:
  possible implementation for RBa$_2$Cu$_3$O$_{7-\delta}$ cuprates

abstract:
  A universal approach is proposed to study the influence of strain (pressure)
on the temperature of Bose-Einstein condensation of intersite bipolarons within
the extended Holstein model. It is shown that uniaxial strain (pressure)
derivatives of the temperature of such a Bose-Einstein condensation strongly
depend on the arrangement of ions in the lattice. In particular, they may be
positive or negative. A connection between the theoretically obtained results,
along with the experimental data, on the influence of uniaxial pressure
(strain) on $T_c$ of RBa$_2$Cu$_3$O$_{7-\delta}$ family cuprates is discussed.


title:
Effect of screening of the electron-phonon interaction on the
  temperature of Bose-Einstein condensation of intersite bipolarons

abstract:
  Here we consider an interacting electron-phonon system within the framework
of extended Holstein-Hubbard model at strong enough electron-phonon interaction
limit in which (bi)polarons are the essential quasiparticles of the system. It
is assumed that the electron-phonon interaction is screened and its potential
has Yukawa-type analytical form. An effect of screening of the electron-phonon
interaction on the temperature of Bose-Einstein condensation of the intersite
bipolarons is studied for the first time. It is revealed that the temperature
of Bose-Einstein condensation of intersite bipolarons is higher in the system
with the more screened electron-phonon interaction.


title:
Inflation and Integrable one-field Cosmologies embedded in Rheonomic
  Supergravity

abstract:
  In this paper we show that the new approach to the embedding of the
inflationary potentials into supergravity, presented in a quite recent paper
[11] of Ferrara, Kallosh, Linde and Porrati can be formulated within the
framework of standard matter coupled supergravity, without the use of the new
minimal auxiliary set and of conformal compensators. The only condition is the
existence of a translational Peccei Quinn isometry of the scalar Kahler
manifold. We suggest that this embedding strategy based on a nilpotent gauging
amounts to a profound Copernican Revolution. The properties of the inflaton
potential are encoded in the geometry of some homogeneous one-dimensional
Kahler manifolds that now should be regarded as the primary object, possibly
providing a link with microscopic physics. We present a simple and elegant
formula for the curvature of the Kahler manifold in terms of the potential.
Most relevant consequence of the new strategy is that all the integrable
potentials quite recently classified in a paper [7] that we have coauthored,
are automatically embedded into supergravity and their associated Kahler
manifolds demand urgent study. In particular one integrable potential that
provides the best fit to PLANCK data seems to have inspiring geometrical
properties deserving further study.

categories: hep-th astro-ph.CO gr-qc hep-ph math-ph math.MP


title:
Spin Chaos Manifestation in a Driven Quantum Billiard with Spin-Orbit
  Coupling

abstract:
  The coupling of orbital and spin degrees of freedom is the source of many
interesting phenomena. Here, we study the electron dynamics in a quantum
billiard --a mesoscopic rectangular quantum dot-- with spin-orbit coupling
driven by a periodic electric field. We find that both the spatial and temporal
profiles of the observables demonstrate the transition to chaotic dynamics with
qualitative modifications of the power spectra and patterns of probability and
spin density. The time dependence of the wavefunctions and spin density
distributions indicates spin-charge separation {seen in the decay of the
spin-charge density correlators}. This new spin chaos effect can be
experimentally verified leading to a better understanding of the interplay
between spin and spatial degrees of freedom, relevant to fundamental and
applied quantum physics.


title: Homotopy categories of injective modules over derived discrete algebras

abstract:
  We study the homotopy category $ K(\Inj A)$ of all injective modules over a
finite dimensional algebra $A$ with discrete derived category. We give a
classification of the indecomposable objects of $ K(\Inj A)$ for any radical
square zero self-injective algebra $A$. In particular, every indecomposable
object is endofinite.


title: Integer invariants of abelian Cayley graphs

abstract:
  Let $G$ be a finite abelian group, let $E$ be a subset of $G$, and form the
Cayley (directed) graph of $G$ with connecting set $E$. We explain how, for
various matrices associated to this graph, the spectrum can be used to give
information on the Smith normal form. This technique is applied to several
interesting examples, including matrices in the Bose-Mesner algebra of the
Hamming association scheme $H(n,q)$. We also recover results of Bai and
Jacobson-Niedermaier-Reiner on the critical group of a Cartesian product of
complete graphs.


title: Generically trivial derived categories

abstract:
  We study generic objects in triangulated categories and characterize the
finite dimensional algebras $A$ such that the derived categories $D(\Mod A)$
are generically trivial. This is an analogue of a result of Crawley-Boevey for
module categories. As a consequence, we show that $D(\Mod A)$ is generically
trivial if and only if the category of perfect complexes $K^b(\proj A)$ is
locally finite.


title: One Loop Tests of Higher Spin AdS/CFT

abstract:
  Vasiliev's type A higher spin theories in AdS4 have been conjectured to be
dual to the U(N) or O(N) singlet sectors in 3-d conformal field theories with
N-component scalar fields. We compare the O(N^0) correction to the 3-sphere
free energy F in the CFTs with corresponding calculations in the higher spin
theories. This requires evaluating a regularized sum over one loop vacuum
energies of an infinite set of massless higher spin gauge fields in Euclidean
AdS4. For the Vasiliev theory including fields of all integer spin and a scalar
with Delta=1 boundary condition, we show that the regularized sum vanishes.
This is in perfect agreement with the vanishing of subleading corrections to F
in the U(N) singlet sector of the theory of N free complex scalar fields. For
the minimal Vasiliev theory including fields of only even spin, the regularized
sum remarkably equals the value of F for one free real scalar field. This
result may agree with the O(N) singlet sector of the theory of N real scalar
fields, provided the coupling constant in the Vasiliev theory is identified as
G_N ~ 1/(N-1). Similarly, consideration of the USp(N) singlet sector for N
complex scalar fields, which we conjecture to be dual to the husp(2;0|4)
Vasiliev theory, requires G_N ~ 1/(N+1). We also test the higher spin AdS3/CFT2
conjectures by calculating the regularized sum over one loop vacuum energies of
higher spin fields in AdS3. We match the result with the O(N^0) term in the
central charge of the W_N minimal models; this requires a certain truncation of
the CFT operator spectrum so that the bulk theory contains two real scalar
fields with the same boundary conditions.


title:
Lossy Compression of Exponential and Laplacian Sources using Expansion
  Coding

abstract:
  A general method of source coding over expansion is proposed in this paper,
which enables one to reduce the problem of compressing an analog
(continuous-valued source) to a set of much simpler problems, compressing
discrete sources. Specifically, the focus is on lossy compression of
exponential and Laplacian sources, which is subsequently expanded using a
finite alphabet prior to being quantized. Due to decomposability property of
such sources, the resulting random variables post expansion are independent and
discrete. Thus, each of the expanded levels corresponds to an independent
discrete source coding problem, and the original problem is reduced to coding
over these parallel sources with a total distortion constraint. Any feasible
solution to the optimization problem is an achievable rate distortion pair of
the original continuous-valued source compression problem. Although finding the
solution to this optimization problem at every distortion is hard, we show that
our expansion coding scheme presents a good solution in the low distrotion
regime. Further, by adopting low-complexity codes designed for discrete source
coding, the total coding complexity can be tractable in practice.


title:
Dipole-induced localized plasmon modes and resonant surface plasmon
  scattering

abstract:
  A metal film supports the continuum of propagating surface plasmon waves. The
interaction of these waves with a dipole (nanoparticle) positioned some
distance from the surface of the film can produce well defined localized
plasmon modes whose frequency nonetheless resides inside the continuum. This
leads to the resonant enhancement of scattering of surface plasmons off the
dipole. The maximum of scattering is found to occur when the distance from the
dipole to the surface of the film is equal to one half of the film thickness.
The possibility of controllable plasmon scattering could be advantageous for
the field of nanoplasmonics.


title: A model for rank one measure preserving transformations

abstract:
  We define a model for rank one measure preserving transformations in the
sense of [2]. This is done by defining a new Polish topology on the space of
codes, which are infinite rank one words, for symbolic rank one systems. We
establish that this space of codes has the same generic dynamical properties as
the space of (rank one) measure preserving transformations on the unit
interval.


title:
Reversal of the lattice structure in SrCoOx epitaxial thin films studied
  by real-time optical spectroscopy and first-principles calculations

abstract:
  Using real-time spectroscopic ellipsometry, we directly observed a reversible
lattice and electronic structure evolution in SrCoOx (x = 2.5 - 3) epitaxial
thin films. Drastically different electronic ground states, which are extremely
susceptible to the oxygen content x, are found in the two topotactic phases,
i.e. the brownmillerite SrCoO2.5 and the perovskite SrCoO3. First principles
calculations confirmed substantial differences in the electronic structure,
including a metal-insulator transition, which originates from the modification
in the Co valence states and crystallographic structures. More interestingly,
the two phases can be reversibly controlled by changing the ambient pressure at
greatly reduced temperatures. Our finding provides an important pathway to
understanding the novel oxygen-content-dependent phase transition uniquely
found in multivalent transition metal oxides.


title: Bekenstein-Hawking Entropy as Topological Entanglement Entropy

abstract:
  Black holes in 2+1 dimensions enjoy long range topological interactions
similar to those of non-abelian anyon excitations in a topologically ordered
medium. Using this observation, we compute the topological entanglement entropy
of BTZ black holes, via the established formula S_top = log(S^a_0), with S_b^a
the modular S-matrix of the Virasoro characters chi_a(tau). We find a precise
match with the Bekenstein-Hawking entropy. This result adds a new twist to the
relationship between quantum entanglement and the interior geometry of black
holes. We generalize our result to higher spin black holes, and again find a
detailed match. We comment on a possible alternative interpretation of our
result in terms of boundary entropy.


title: Dynamics of an Insulating Skyrmion under a Temperature Gradient

abstract:
  We study the Skyrmion dynamics in thin films under a temperature gradient.
Our numerical simulations show that both single and multiple Skyrmions in a
crystal move towards the high temperature region, which is contrary to particle
diffusion. Noticing a similar effect in the domain wall motion, we employ a
theory based on magnon dynamics to explain this counterintuitive phenomenon.
Unlike the temperature driven domain wall motion, the Skyrmion's topological
charge plays an important role, and a transverse Skyrmion motion is observed.
Our theory turns out to be in agreement with numerical simulations, both
qualitatively and quantitatively. Our calculation indicated that a very
promising Skyrmion dynamic phenomenon can be observed in experiments.


title: Most Subsets are Balanced in Finite Groups

abstract:
  The sumset is one of the most basic and central objects in additive number
theory. Many of the most important problems (such as Goldbach's conjecture and
Fermat's Last theorem) can be formulated in terms of the sumset $S + S = \{x+y
: x,y\in S\}$ of a set of integers $S$. A finite set of integers $A$ is
sum-dominated if $|A+A| > |A-A|$. Though it was believed that the percentage of
subsets of $\{0,...,n\}$ that are sum-dominated tends to zero, in 2006 Martin
and O'Bryant proved a very small positive percentage are sum-dominated if the
sets are chosen uniformly at random (through work of Zhao we know this
percentage is approximately $4.5 \cdot 10^{-4}$). While most sets are
difference-dominated in the integer case, this is not the case when we take
subsets of many finite groups. We show that if we take subsets of larger and
larger finite groups uniformly at random, then not only does the probability of
a set being sum-dominated tend to zero but the probability that $|A+A|=|A-A|$
tends to one, and hence a typical set is balanced in this case. The cause of
this marked difference in behavior is that subsets of $\{0,..., n\}$ have a
fringe, whereas finite groups do not. We end with a detailed analysis of
dihedral groups, where the results are in striking contrast to what occurs for
subsets of integers.


title: Asymmetries for neutral pion photoproduction in the threshold region

abstract:
  We report on two pion-photoproduction measurements in the threshold region
conducted in the A2 collaboration at MAMI with the almost 4{\pi} Crystal Ball
detector. The first was with a linearly polarized photon beam and unpolarized
liquid-hydrogen target. The data analysis is now complete and the linearly
polarized beam asymmetry along with differential cross sections provide the
most stringent test to date of the predictions of Chiral Perturbation Theory
and its energy region of convergence. More recently, a measurement was
performed using both circularly polarized photons and a transversely polarized
butanol frozen-spin target, with the goal of extracting both the target and
beam-target asymmetries. From these we intend to extract {\pi}N scattering
sensitive information for the first time in photo-pion reactions. This will be
used to test isospin conservation and further test dynamics of chiral symmetry
breaking in QCD as calculated at low energies by Chiral Perturbation Theory.


title: Gravitational Wave Generation in Rotating Compact Stars

abstract:
  We present a simplified description of a rotating neutron star emitting
gravitational waves. We describe the system by an uniformly rotating triaxial
homogeneous ellipsoid to catch the main aspects of the evolution. We construct
an effective Lagrangian model, in which the kinetic energy associated to the
breath mode and rotation are explicitly determined. The rate of gravitational
waves radiation is determined in the framework of the weak field limit
approximation of Einstein equations. We then solve numerically the equations of
motion for the nascent neutron star, incorporating the diffusion of neutrinos
in the calculation.


title:
Degeneration of trigonometric dynamical difference equations for quantum
  loop algebras to trigonometric Casimir equations for Yangians

abstract:
  We show that, under Drinfeld's degeneration of quantum loop algebras to
Yangians, the trigonometric dynamical difference equations for the quantum
affine algebra degenerate to the trigonometric Casimir differential equations
for Yangians.


title: Integral quantizations with two basic examples

abstract:
  The paper is devoted to integral quantization, a procedure based on
operator-valued measure and resolution of the identity. We insist on covariance
properties in the important case where group representation theory is involved.
We also insist on the inherent probabilistic aspects of this classical-quantum
map. The approach includes and generalizes coherent state quantization. Two
applications based on group representation are carried out. The first one
concerns the Weyl-Heisenberg group and the euclidean plane viewed as the
corresponding phase space. We show that there exists a world of quantizations
which yield the canonical commutation rule and the usual quantum spectrum of
the harmonic oscillator. The second one concerns the affine group of the real
line and gives rise to an interesting regularization of the dilation origin in
the half-plane viewed as the corresponding phase space.


title: Reachability under Contextual Locking

abstract:
  The pairwise reachability problem for a multi-threaded program asks, given
control locations in two threads, whether they can be simultaneously reached in
an execution of the program. The problem is important for static analysis and
is used to detect statements that are concurrently enabled. This problem is in
general undecidable even when data is abstracted and when the threads (with
recursion) synchronize only using a finite set of locks. Popular programming
paradigms that limit the lock usage patterns have been identified under which
the pairwise reachability problem becomes decidable. In this paper, we consider
a new natural programming paradigm, called contextual locking, which ties the
lock usage to calling patterns in each thread: we assume that locks are
released in the same context that they were acquired and that every lock
acquired by a thread in a procedure call is released before the procedure
returns. Our main result is that the pairwise reachability problem is
polynomial-time decidable for this new programming paradigm as well. The
problem becomes undecidable if the locks are reentrant; reentrant locking is a
\emph{recursive locking} mechanism which allows a thread in a multi-threaded
program to acquire the reentrant lock multiple times.


title:
Learning Features and their Transformations by Spatial and Temporal
  Spherical Clustering

abstract:
  Learning features invariant to arbitrary transformations in the data is a
requirement for any recognition system, biological or artificial. It is now
widely accepted that simple cells in the primary visual cortex respond to
features while the complex cells respond to features invariant to different
transformations. We present a novel two-layered feedforward neural model that
learns features in the first layer by spatial spherical clustering and
invariance to transformations in the second layer by temporal spherical
clustering. Learning occurs in an online and unsupervised manner following the
Hebbian rule. When exposed to natural videos acquired by a camera mounted on a
cat's head, the first and second layer neurons in our model develop simple and
complex cell-like receptive field properties. The model can predict by learning
lateral connections among the first layer neurons. A topographic map to their
spatial features emerges by exponentially decaying the flow of activation with
distance from one neuron to another in the first layer that fire in close
temporal proximity, thereby minimizing the pooling length in an online manner
simultaneously with feature learning.


title:
Impurity effects on electronic transport in ferropnictide
  superconductors

abstract:
  Effects of impurities and disorder on transport properties by electronic
quasiparticles in superconducting iron pnictides are theoretically considered.
The most prominent new features compared to the case of pure material should
appear at high enough impurity concentration when a specific narrow band of
conducting quasiparticle states can develop within the superconducting gap,
around the position of localized impurity level by a single impurity center.
The predicted specific threshold effects in the frequency dependent optical
conductivity and temperature dependent thermal conductivity and also in Seebeck
and Peltier coefficients can have interesting potentialities for practical
applications.


title: Coherent Lagrangian vortices: The black holes of turbulence

abstract:
  We introduce a simple variational principle for coherent material vortices in
two-dimensional turbulence. Vortex boundaries are sought as closed stationary
curves of the averaged Lagrangian strain. Solutions to this problem turn out to
be mathematically equivalent to photon spheres around black holes in cosmology.
The fluidic photon spheres satisfy explicit differential equations whose
outermost limit cycles are optimal Lagrangian vortex boundaries. As an
application, we uncover super-coherent material eddies in the South Atlantic,
which yield specific Lagrangian transport estimates for Agulhas rings.

categories: physics.ao-ph math-ph math.DS math.MP nlin.CD physics.flu-dyn


title: The Whittaker period formula on Metaplectic SL(2)

abstract:
  The Whittaker period formula on metaplectic $SL(2)$ was previously
established only when the base field $F$ is totally real. We present a new
simple proof that works for all base number fields. Our local argument is
uniform at every local place of $F$, based on the isometry property of
quadratic Fourier transform and the estimates of matrix coefficients and
Whittaker functions imposed by the unitariness of the local representations.


title:
RAProp: Ranking Tweets by Exploiting the Tweet/User/Web Ecosystem and
  Inter-Tweet Agreement

abstract:
  The increasing popularity of Twitter renders improved trustworthiness and
relevance assessment of tweets much more important for search. However, given
the limitations on the size of tweets, it is hard to extract measures for
ranking from the tweets' content alone. We present a novel ranking method,
called RAProp, which combines two orthogonal measures of relevance and
trustworthiness of a tweet. The first, called Feature Score, measures the
trustworthiness of the source of the tweet. This is done by extracting features
from a 3-layer twitter ecosystem, consisting of users, tweets and the pages
referred to in the tweets. The second measure, called agreement analysis,
estimates the trustworthiness of the content of the tweet, by analyzing how and
whether the content is independently corroborated by other tweets. We view the
candidate result set of tweets as the vertices of a graph, with the edges
measuring the estimated agreement between each pair of tweets. The feature
score is propagated over this agreement graph to compute the top-k tweets that
have both trustworthy sources and independent corroboration. The evaluation of
our method on 16 million tweets from the TREC 2011 Microblog Dataset shows that
for top-30 precision we achieve 53% higher than current best performing method
on the Dataset and over 300% over current Twitter Search. We also present a
detailed internal empirical evaluation of RAProp in comparison to several
alternative approaches proposed by us.


title: Weyl Anomaly Induced Stress Tensors in General Manifolds

abstract:
  Considering arbitrary conformal field theories in general (non-conformally
flat) backgrounds, we adopt a dimensional regularization approach to obtain
stress tensors from Weyl anomalies. The results of type A anomaly-induced
stress tensors in four and six-dimensions generalize the previous results
calculated in a conformally flat background. On the other hand, regulators are
needed to have well-defined type B anomaly-induced stress tensors. We also
discuss ambiguities related to type D anomalies, Weyl invariants and order of
limit issues.


title: Universality in spectral statistics of "open" quantum graphs

abstract:
  The unitary evolution maps in closed chaotic quantum graphs are known to have
universal spectral correlations, as predicted by random matrix theory. In
chaotic graphs with absorption the quantum maps become non-unitary. We show
that their spectral statistics exhibit universality at the "soft" edges of the
spectrum. The same spectral behavior is observed in many classical non-unitary
ensembles of random matrices with rotationally invariant measures.


title: On the Detection of Passive Eavesdroppers in the MIMO Wiretap Channel

abstract:
  The classic MIMO wiretap channel comprises a passive eavesdropper that
attempts to intercept communications between an authorized transmitter-receiver
pair, each node being equipped with multiple antennas. In a dynamic network, it
is imperative that the presence of an eavesdropper be determined before the
transmitter can deploy robust secrecyencoding schemes as a countermeasure. This
is a difficult task in general, since by definition the eavesdropper is passive
and never transmits. In this work we adopt a method that allows the legitimate
nodes to detect the passive eavesdropper from the local oscillator power that
is inadvertently leaked from its RF front end. We examine the performance of
non-coherent energy detection and optimal coherent detection, followed by
composite GLRT detection methods that account for unknown parameters. Numerical
experiments demonstrate that the proposed detectors allow the legitimate nodes
to increase the secrecy rate of the MIMO wiretap channel.


title: Proof of a conjecture of Stanley-Zanello

abstract:
  We prove that the number of partitions of an integer into at most b distinct
parts of size at most n forms a unimodal sequence for n sufficiently large with
respect to b. This resolves a recent conjecture of Stanley and Zanello.


title: Exploratory Analysis of Highly Heterogeneous Document Collections

abstract:
  We present an effective multifaceted system for exploratory analysis of
highly heterogeneous document collections. Our system is based on intelligently
tagging individual documents in a purely automated fashion and exploiting these
tags in a powerful faceted browsing framework. Tagging strategies employed
include both unsupervised and supervised approaches based on machine learning
and natural language processing. As one of our key tagging strategies, we
introduce the KERA algorithm (Keyword Extraction for Reports and Articles).
KERA extracts topic-representative terms from individual documents in a purely
unsupervised fashion and is revealed to be significantly more effective than
state-of-the-art methods. Finally, we evaluate our system in its ability to
help users locate documents pertaining to military critical technologies buried
deep in a large heterogeneous sea of information.


title: Syzygy Modules and Injective Cogenerators for Noether Rings

abstract:
  In this paper, we focus on $n$-syzygy modules and the injective cogenerator
determined by the minimal injective resolution of a noether ring. We study the
properties of $n$-syzygy modules and a category $R_n(\mod R)$ which includes
the category consisting of all $n$-syzygy modules and their applications on
Auslander-type rings. Then, we investigate the injective cogenerators
determined by the minimal injective resolution of $R$. We show that $R$ is
Gorenstein with finite self-injective dimension at most $n$ if and only if $\id
R\leq n$ and $\fd \bigoplus_{i=0}^n I_i(R)< \infty$. Some known results can be
our corollaries.


title: Unitary vertex operator algebras

abstract:
  Unitary vertex operator algebras are introduced and studied. It is proved
that most well-known rational vertex operator algebras are unitary. The
classification of unitary vertex operator algebras with central charge c less
than or equal to 1 is also discussed.


title:
Harmonization among national cyber security and cybercrime response
  organizations: New challenges of cybercrime

abstract:
  This paper will discuss the need for national-level organizational strategies
to effectively combat cyber security threats and cybercrime. In many countries,
new agencies have been established and/or new roles have been allotted to
existing agencies to cope with the needs for cyber security or fighting against
cybercrime. The two pillars of organizational structure and functions (i.e.,
security vs. law enforcement) have given new challenges to us, especially in
the context of traditional criminal justice system. To illustrate the
challenges, a case study examining the responses to major security incidents
followed by nationwide debates and remarkable organizational changes in Korea
will be given.


title:
Feynman-Kac formula for Levy processes and semiclassical (Euclidean)
  momentum representation

abstract:
  We prove a version of the Feynman-Kac formula for Levy processes and
integro-differential operators, with application to the momentum representation
of suitable quantum (Euclidean) systems whose Hamiltonians involve
L\'{e}vy-type potentials. Large deviation techniques are used to obtain the
limiting behavior of the systems as the Planck constant approaches zero. It
turns out that the limiting behavior coincides with fresh aspects of the
semiclassical limit of (Euclidean) quantum mechanics. Non-trivial examples of
Levy processes are considered as illustrations and precise asymptotics are
given for the terms in both configuration and momentum representations.


title: An upper bound for Davenport constant of finite groups

abstract:
  Let $G$ be a finite (not necessarily abelian) group and let $p=p(G)$ be the
smallest prime number dividing $|G|$. We prove that $d(G)\leq
\frac{|G|}{p}+9p^2-10p$, where $d(G)$ denotes the small Davenport constant of
$G$ which is defined as the maximal integer $\ell$ such that there is a
sequence over $G$ of length $\ell$ contains no nonempty one-product
subsequence.


title: On n-sum of an abelian group of order n

abstract:
  Let $G$ be an additive finite abelian group of order $n$, and let $S$ be a
sequence of $n+k$ elements in $G$, where $k\geq 1$. Suppose that $S$ contains
$t$ distinct elements. Let $\sum_n(S)$ denote the set that consists of all
elements in $G$ which can be expressed as the sum over a subsequence of length
$n$. In this paper we prove that, either $0\in \sum_n(S)$ or $|\sum_n(S)|\geq
k+t-1.$ This confirms a conjecture by Y.O. Hamidoune in 2000.


title:
Space-time coupling in the up-conversion of broadband down-converted
  light

abstract:
  We investigate the up-conversion process of broadband light from parametric
down-conversion (PDC), focusing on the spatio-temporal spectral properties of
the sum-frequency generated (SFG) radiation. We demonstrate that the incoherent
component of the SFG spectrum is characterized by a skewed cigar-shaped
geometry in space-time due to the compensation of spatial walk-off and
group-velocity mismatch between the fundamental and the generated SFG fields.
The results are illustrated both by a theoretical modeling of the optical
system and by experimental measurements.


title:
The 9 and 18 Micron Luminosity Function of Various Types of Galaxies
  with AKARI: Implication for the Dust Torus Structure of AGN

abstract:
  We present the 9 and 18 micron luminosity functions (LFs) of galaxies at
0.006 < z < 0.8 (with an average redshift of ~ 0.04) using the AKARI
mid-infrared all-sky survey catalog. We selected 243 galaxies at 9 micron and
255 galaxies at 18 micron from the Sloan Digital Sky Survey (SDSS) spectroscopy
region. These galaxies were then classified by their optical emission lines,
such as the line width of H_alpha or by their emission line ratios of
[OIII]/H_beta and [NII]/H_alpha into five types: Type 1 active galactic nuclei
(AGN) (Type 1); Type 2 AGN (Type 2); low-ionization narrow emission line
galaxies (LINER); galaxies with both star formation and narrow-line AGN
activity (composite galaxies); and star-forming galaxies (SF). We found that
(i) the number density ratio of Type 2 to Type 1 AGNs is 1.73 +/- 0.36, which
is larger than a result obtained from the optical LF and (ii) this ratio
decreases with increasing 18 micron luminosity.


title: Bounds for the boxicity of Mycielski graphs

abstract:
  A box in Euclidean $k$-space is the Cartesian product $I_1\times I_2\times
\cdots \times I_k$, where $I_j$ is a closed interval on the real line. The
boxicity of a graph $G$, denoted by $\text{box}(G)$, is the minimum nonnegative
integer $k$ such that $G$ can be isomorphic to the intersection graph of a
family of boxes in Euclidean $k$-space. Mycielski introduced an interesting
graph operation that extends a graph $G$ to a new graph $M(G)$, called the
Mycielski graph of $G$. In this paper, we observe behavior of the boxicity of
Mycielski graphs. The inequality $\text{box}(M(G))\geq \text{box}(G)$ holds for
a graph $G$, and hence we are interested in whether the boxicity of the
Mycielski graph of $G$ is more than that of $G$ or not. Here we give bounds for
the boxicity of Mycielski graphs: for a graph $G$ with $l$ universal vertices,
the inequalities $\text{box}(G)+\left \lceil \frac{l}{2}\right \rceil \leq
\text{box}(M(G))\leq \theta (\overline{G})+\left\lceil \frac{l}{2}\right\rceil
+1$ hold, where $\theta (\overline{G})$ is the edge clique cover number of the
complement $\overline{G}$. Further observations determine the boxicity of the
Mycielski graph $M(G)$, if $G$ has no universal vertices or odd universal
vertices and satisfies $\text{box}(G)=\theta (\overline{G})$. We also present
relations between the Mycielski graph $M(G)$ and its analogous ones $M_3(G)$
and $M_r(G)$ in the context of boxicity, which will encourage us to calculate
the boxicity of $M(G)$ or $M_3(G)$.


title: The tail of a quantum spin network

abstract:
  The tail of a sequence $\{P_n(q)\}_{n \in \mathbb{N}}$ of formal power series
in $\mathbb{Z}[[q]]$ is the formal power series whose first $n$ coefficients
agree up to a common sign with the first $n$ coefficients of $P_n$. This paper
studies the tail of a sequence of admissible trivalent graphs with edges
colored $n$ or $2n$. We use local skein relations to understand and compute the
tail of these graphs. We also give product formulas for the tail of such
trivalent graphs. Furthermore, we show that our skein theoretic techniques
naturally lead to a proof for the Andrews-Gordon identities for the two
variable Ramanujan theta function as well to corresponding identities for the
false theta function.


title: Flow in p-Pb collisions at the LHC

abstract:
  We present the predictions of a hydrodynamic model for the flow observables
recently measured in the highest-multiplicity p+Pb collisions at the LHC. We
focus o the ridge phenomenon, which provides an important probe of the
long-range dynamics and may be used to support the collective interpretation of
the p+A data.


title:
Signature-Based Gr\"obner Basis Algorithms --- Extended MMM Algorithm
  for computing Gr\"obner bases

abstract:
  Signature-based algorithms is a popular kind of algorithms for computing
Gr\"obner bases, and many related papers have been published recently. In this
paper, no new signature-based algorithms and no new proofs are presented.
Instead, a view of signature-based algorithms is given, that is,
signature-based algorithms can be regarded as an extended version of the famous
MMM algorithm. By this view, this paper aims to give an easier way to
understand signature-based Gr\"obner basis algorithms.


title: Throughput of One-Hop Wireless Networks with Noisy Feedback Channel

abstract:
  In this paper, we consider the effect of feedback channel error on the
throughput of one-hop wireless networks under the random connection model. The
transmission strategy is based on activating source-destination pairs with
strongest direct links. While these activated pairs are identified based on
Channel State Information (CSI) at the receive side, the transmit side will be
provided with a noisy version of this information via the feedback channel.
Such error will degrade network throughput, as we investigate in this paper.
Our results show that if the feedback error probability is below a given
threshold, network can tolerate such error without any significant throughput
loss. The threshold value depends on the number of nodes in the network and the
channel fading distribution. Such analysis is crucial in design of error
correction codes for feedback channel in such networks.


title: Hardy and uncertainty inequalities on stratified Lie groups

abstract:
  We prove various Hardy-type and uncertainty inequalities on a stratified Lie
group $G$. In particular, we show that the operators $T_\alpha: f \mapsto
|.|^{-\alpha} L^{-\alpha/2} f$, where $|.|$ is a homogeneous norm, $0 < \alpha
< Q/p$, and $L$ is the sub-Laplacian, are bounded on the Lebesgue space
$L^p(G)$. As consequences, we estimate the norms of these operators
sufficiently precisely to be able to differentiate and prove a logarithmic
uncertainty inequality. We also deduce a general version of the
Heisenberg-Pauli-Weyl inequality, relating the $L^p$ norm of a function $f$ to
the $L^q$ norm of $|.|^\beta f$ and the $L^r$ norm of $L^{\delta/2} f$.


title: Locally conformally flat ancient Ricci flows

abstract:
  We show that any locally conformally flat ancient solution to the Ricci flow
must be rotationally symmetric. As a by-product, we prove that any locally
conformally flat Ricci soliton is a gradient soliton in the shrinking and
steady cases as well as in the expanding case, provided the soliton has
nonnegative curvature.


title:
A radial basis function neural network based approach for the electrical
  characteristics estimation of a photovoltaic module

abstract:
  The design process of photovoltaic (PV) modules can be greatly enhanced by
using advanced and accurate models in order to predict accurately their
electrical output behavior. The main aim of this paper is to investigate the
application of an advanced neural network based model of a module to improve
the accuracy of the predicted output I--V and P--V curves and to keep in
account the change of all the parameters at different operating conditions.
Radial basis function neural networks (RBFNN) are here utilized to predict the
output characteristic of a commercial PV module, by reading only the data of
solar irradiation and temperature. A lot of available experimental data were
used for the training of the RBFNN, and a backpropagation algorithm was
employed. Simulation and experimental validation is reported.


title:
Saari's Conjecture for Elliptical Type $N$-Body Problem and An
  Application

abstract:
  By using an arithmetic fact, we will firstly prove Saari's conjecture in a
particular case, which is called the Elliptical Type N-Body Problem, and then
we apply it to prove that the variational minimal solution of the planar
Newtonian N-body problem is precisely a relative equilibrium solution whose
configuration minimizes the function $IU^2$, it's worth noticing that we don't
need the hypothesis of Finiteness of Central Configurations. In the Planetary
Restricted Problem (which ignore all the mutual gravitational interactions
between the planets), the corresponding Saari's conjecture is stated and
proved.


title:
Frequency transfer via a two-way optical phase comparison on a
  multiplexed fiber network

abstract:
  We performed a two-way remote optical phase comparison on optical fiber. Two
optical frequency signals were launched in opposite directions in an optical
fiber and their phases were simultaneously measured at the other end. In this
technique, the fiber noise was passively cancelled, and we compared two optical
frequencies at the ultimate 1E-21 stability level. The experiment was performed
on a 47 km fiber that is part of the metropolitan network for Internet traffic.
The technique relies on the synchronous measurement of the optical phases at
the two ends of the link, that is made possible by the use of digital
electronics. This scheme offers several advantages with respect to active noise
cancellation, and can be upgraded to perform more complex tasks.


title:
Comment on "Topological equivalence of crystal and quasicrystal band
  structures"

abstract:
  Madsen et al. [arXiv:1307.2577] claim that one-dimensional insulating
crystals and one-dimensional insulating quasicrystals are topologically
equivalent and, thus, trivial. In this comment, we clarify that in topological
classification of one-dimensional systems, quasiperiodicity plays a role
similar to that of a symmetry. Hence, periodic systems are out of the
quasiperiodic topological space, and the equivalence between quasicrystals and
crystals becomes immaterial.