title: An Extrasolar Planet Census with a Space-based Microlensing Survey

abstract:
  A space-based gravitational microlensing exoplanet survey will provide a
statistical census of exoplanets with masses down to 0.1 Earth-masses and
orbital separations ranging from 0.5AU to infinity. This includes analogs to
all the Solar System's planets except for Mercury, as well as most types of
planets predicted by planet formation theories. Such a survey will provide
results on the frequency of planets around all types of stars except those with
short lifetimes. Close-in planets with separations < 0.5 AU are invisible to a
space-based microlensing survey, but these can be found by Kepler. Other
methods, including ground-based microlensing, cannot approach the comprehensive
statistics on the mass and semi-major axis distribution of extrasolar planets
that a space-based microlensing survey will provide. The terrestrial planet
sensitivity of a ground-based microlensing survey is limited to the vicinity of
the Einstein radius at 2-3 AU, and space-based imaging is needed to identify
and determine the mass of the planetary host stars for the vast majority of
planets discovered by microlensing. Thus, a space-based microlensing survey is
likely to be the only way to gain a comprehensive understanding of the nature
of planetary systems, which is needed to understand planet formation and
habitability. The proposed Microlensing Planet Finder (MPF) mission is an
example of a space-based microlensing survey that can accomplish these
objectives with proven technology and a cost that fits comfortably under the
NASA Discovery Program cost cap.


title: USco1606-1935: An Unusually Wide Low-Mass Triple System?

abstract:
  We present photometric, astrometric, and spectroscopic observations of
USco160611.9-193532 AB, a candidate ultrawide (~1600 AU), low-mass (M_tot~0.4
M_sun) multiple system in the nearby OB association Upper Scorpius. We conclude
that both components are young, comoving members of the association; we also
present high-resolution observations which show that the primary is itself a
close binary system. If the Aab and B components are gravitationally bound, the
system would fall into the small class of young multiple systems which have
unusually wide separations as compared to field systems of similar mass.
However, we demonstrate that physical association can not be assumed purely on
probabilistic grounds for any individual candidate system in this separation
range. Analysis of the association's two-point correlation function shows that
there is a significant probability (25%) that at least one pair of low-mass
association members will be separated in projection by <15", so analysis of the
wide binary population in Upper Sco will require a systematic search for all
wide systems; the detection of another such pair would represent an excess at
the 98% confidence level.


title: Particle propagation in cosmological backgrounds

abstract:
  We study the quantum propagation of particles in cosmological backgrounds, by
considering a doublet of massive scalar fields propagating in an expanding
universe, possibly filled with radiation. We focus on the dissipative effects
related to the expansion rate. At first order, we recover the expected result
that the decay rate is determined by the local temperature. Beyond linear
order, the decay rate has an additional contribution governed by the expansion
parameter. This latter contribution is present even for stable particles in the
vacuum. Finally, we analyze the long time behaviour of the propagator and
briefly discuss applications to the trans-Planckian question.


title: Quantum analysis of a linear DC SQUID mechanical displacement detector

abstract:
  We provide a quantum analysis of a DC SQUID mechanical displacement detector
within the sub-critical Josephson current regime. A segment of the SQUID loop
forms the mechanical resonator and motion of the latter is transduced
inductively through changes in the flux threading the loop. Expressions are
derived for the detector signal response and noise, which are used to evaluate
the position and force detection sensitivity. We also investigate cooling of
the mechanical resonator due to back reaction noise from the detector.


title:
Rotation Measures of Extragalactic Sources Behind the Southern Galactic
  Plane: New Insights into the Large-Scale Magnetic Field of the Inner Milky
  Way

abstract:
  We present new Faraday rotation measures (RMs) for 148 extragalactic radio
sources behind the southern Galactic plane (253o < l < 356o, |b| < 1.5o), and
use these data in combination with published data to probe the large-scale
structure of the Milky Way's magnetic field. We show that the magnitudes of
these RMs oscillate with longitude in a manner that correlates with the
locations of the Galactic spiral arms. The observed pattern in RMs requries the
presence of at least one large-scale magnetic reversal in the fourth Galactic
quadrant, located between the Sagittarius- Carina and Scutum-Crux spiral arms.
To quantitatively compare our measurements to other recent studies, we consider
all available extragalactic and pulsar RMs in the region we have surveyed, and
jointly fit these data to simple models in which the large-scale field follows
the spiral arms. In the best-fitting model, the magnetic field in the fourth
Galactic quadrant is directed clockwise in the Sagittarius-Carina spiral arm
(as viewed from the North Galactic pole), but is oriented counter- clockwise in
the Scutum-Crux arm. This contrasts with recent analyses of pulsar RMs alone,
in which the fourth-quadrant field was presumed to be directed
counter-clockwise in the Sagittarius- Carina arm. Also in contrast to recent
pulsar RM studies, our joint modeling of pulsar and extragalactic RMs
demonstrates that large numbers of large-scale magnetic field reversals are not
required to account for observations.


title: On iterated image size for point-symmetric relations

abstract:
  Let $\Gamma =(V,E)$ be a point-symmetric reflexive relation and let $v\in V$
such that
  $|\Gamma (v)|$ is finite (and hence $|\Gamma (x)|$ is finite for all $x$, by
the transitive action of the group of automorphisms). Let $j\in \N$ be an
integer such that $\Gamma ^j(v)\cap \Gamma ^{-}(v)=\{v\}$. Our main result
states that
  $$ |\Gamma ^{j} (v)|\ge | \Gamma ^{j-1} (v)| + |\Gamma (v)|-1.$$
  As an application we have $ |\Gamma ^{j} (v)| \ge 1+(|\Gamma (v)|-1)j.$ The
last result confirms a recent conjecture of Seymour in the case of
vertex-symmetric graphs. Also it gives a short proof for the validity of the
Caccetta-H\"aggkvist conjecture for vertex-symmetric graphs and generalizes an
additive result of Shepherdson.


title:
The Kilodegree Extremely Little Telescope (KELT): A Small Robotic
  Telescope for Large-Area Synoptic Surveys

abstract:
  The Kilodegree Extremely Little Telescope (KELT) project is a survey for
planetary transits of bright stars. It consists of a small-aperture, wide-field
automated telescope located at Winer Observatory near Sonoita, Arizona. The
telescope surveys a set of 26 x 26 degree fields, together covering about 25%
of the Northern sky, targeting stars in the range of 8<V<10 mag, searching for
transits by close-in Jupiters. This paper describes the system hardware and
software and discusses the quality of the observations. We show that KELT is
able to achieve the necessary photometric precision to detect planetary
transits around solar-type main sequence stars.


title:
Entanglement increase from local interactions with
  not-completely-positive maps

abstract:
  Simple examples are constructed that show the entanglement of two qubits
being both increased and decreased by interactions on just one of them. One of
the two qubits interacts with a third qubit, a control, that is never entangled
or correlated with either of the two entangled qubits and is never entangled,
but becomes correlated, with the system of those two qubits. The two entangled
qubits do not interact, but their state can change from maximally entangled to
separable or from separable to maximally entangled. Similar changes for the two
qubits are made with a swap operation between one of the qubits and a control;
then there are compensating changes of entanglement that involve the control.
When the entanglement increases, the map that describes the change of the state
of the two entangled qubits is not completely positive. Combination of two
independent interactions that individually give exponential decay of the
entanglement can cause the entanglement to not decay exponentially but,
instead, go to zero at a finite time.


title: Extended solar emission - an analysis of the EGRET data

abstract:
  The Sun was recently predicted to be an extended source of gamma-ray
emission, produced by inverse-Compton scattering of cosmic-ray electrons with
the solar radiation. The emission was predicted to contribute to the diffuse
extragalactic background even at large angular distances from the Sun. While
this emission is expected to be readily detectable in future by GLAST, the
situation for available EGRET data is more challenging. We present a detailed
study of the EGRET database, using a time dependent analysis, accounting for
the effect of the emission from 3C 279, the moon, and other sources, which
interfere with the solar signal. The technique has been tested on the moon
signal, with results consistent with previous work. We find clear evidence for
emission from the Sun and its vicinity. The observations are compared with our
model for the extended emission.


title: Mass and Temperature of the TWA 7 Debris Disk

abstract:
  We present photometric detections of dust emission at 850 and 450 micron
around the pre-main sequence M1 dwarf TWA 7 using the SCUBA camera on the James
Clerk Maxwell Telescope. These data confirm the presence of a cold dust disk
around TWA 7, a member of the TW Hydrae Association. Based on the 850 micron
flux, we estimate the mass of the disk to be 18 lunar masses (0.2 Earth masses)
assuming a mass opacity of 1.7 cm^2/g with a temperature of 45 K. This makes
the TWA 7 disk (d=55 pc) an order of magnitude more massive than the disk
reported around AU Microscopii (GL 803), the closest (9.9 pc) debris disk
detected around an M dwarf. This is consistent with TWA 7 being slightly
younger than AU Mic. We find that the mid-IR and submillimeter data require the
disk to be comprised of dust at a range of temperatures. A model in which the
dust is at a single radius from the star, with a range of temperatures
according to grain size, is as effective at fitting the emission spectrum as a
model in which the dust is of uniform size, but has a range of temperatures
according to distance. We discuss this disk in the context of known disks in
the TW Hydrae Association and around low-mass stars; a comparison of masses of
disks in the TWA reveals no trend in mass or evolutionary state (gas-rich vs.
debris) as a function of spectral type.


title: Annealed importance sampling of dileucine peptide

abstract:
  Annealed importance sampling is a means to assign equilibrium weights to a
nonequilibrium sample that was generated by a simulated annealing protocol. The
weights may then be used to calculate equilibrium averages, and also serve as
an ``adiabatic signature'' of the chosen cooling schedule. In this paper we
demonstrate the method on the 50-atom dileucine peptide, showing that
equilibrium distributions are attained for manageable cooling schedules. For
this system, as naively implemented here, the method is modestly more efficient
than constant temperature simulation. However, the method is worth considering
whenever any simulated heating or cooling is performed (as is often done at the
beginning of a simulation project, or during an NMR structure calculation), as
it is simple to implement and requires minimal additional CPU expense.
Furthermore, the naive implementation presented here can be improved.


title: A General Nonlinear Fokker-Planck Equation and its Associated Entropy

abstract:
  A recently introduced nonlinear Fokker-Planck equation, derived directly from
a master equation, comes out as a very general tool to describe
phenomenologically systems presenting complex behavior, like anomalous
diffusion, in the presence of external forces. Such an equation is
characterized by a nonlinear diffusion term that may present, in general, two
distinct powers of the probability distribution. Herein, we calculate the
stationary-state distributions of this equation in some special cases, and
introduce associated classes of generalized entropies in order to satisfy the
H-theorem. Within this approach, the parameters associated with the transition
rates of the original master-equation are related to such generalized
entropies, and are shown to obey some restrictions. Some particular cases are
discussed.


title:
Conduction electron spin-lattice relaxation time in the MgB2
  superconductor

abstract:
  The spin-lattice relaxation time, $T_{1}$, of conduction electrons is
measured as a function of temperature and magnetic field in MgB$_2$. The method
is based on the detection of the $z$ component of the conduction electron
magnetization under electron spin resonance conditions with amplitude modulated
microwave excitation. Measurement of $T_{1}$ below $T_c$ at 0.32 T allows to
disentangle contributions from the two Fermi surfaces of MgB$_{2}$ as this
field restores normal state on the Fermi surface part with $\pi$ symmetry only.


title: Modeling Accretion Disk X-ray Continuum of Black Hole Candidates

abstract:
  We critically examine issues associated with determining the fundamental
properties of the black hole and the surrounding accretion disk in an X-ray
binary based on modeling the disk X-ray continuum of the source. We base our
work mainly on two XMM-Newton observations of GX 339-4, because they provided
high-quality data at low energies (below 1 keV) which are critical for reliably
modeling the spectrum of the accretion disk. A key issue examined is the
determination of the so-called "color correction factor", which is often
empirically introduced to account for the deviation of the local disk spectrum
from a blackbody (due to electron scattering). This factor cannot be
pre-determined theoretically because it may vary with, e.g., mass accretion
rate, among a number of important factors. We follow up on an earlier
suggestion to estimate the color correction observationally by modeling the
disk spectrum with saturated Compton scattering. We show that the spectra can
be fitted well and the approach yields reasonable values for the color
correction factor. For comparison, we have also attempted to fit the spectra
with other models. We show that even the high-soft-state continuum (which is
dominated by the disk emission) cannot be satisfactorily fitted by
state-of-the-art disk models. We discuss the implication of the results.


title: Inapproximability of Maximum Weighted Edge Biclique and Its Applications

abstract:
  Given a bipartite graph $G = (V_1,V_2,E)$ where edges take on {\it both}
positive and negative weights from set $\mathcal{S}$, the {\it maximum weighted
edge biclique} problem, or $\mathcal{S}$-MWEB for short, asks to find a
bipartite subgraph whose sum of edge weights is maximized. This problem has
various applications in bioinformatics, machine learning and databases and its
(in)approximability remains open. In this paper, we show that for a wide range
of choices of $\mathcal{S}$, specifically when $| \frac{\min\mathcal{S}} {\max
\mathcal{S}} | \in \Omega(\eta^{\delta-1/2}) \cap O(\eta^{1/2-\delta})$ (where
$\eta = \max\{|V_1|, |V_2|\}$, and $\delta \in (0,1/2]$), no polynomial time
algorithm can approximate $\mathcal{S}$-MWEB within a factor of $n^{\epsilon}$
for some $\epsilon > 0$ unless $\mathsf{RP = NP}$. This hardness result gives
justification of the heuristic approaches adopted for various applied problems
in the aforementioned areas, and indicates that good approximation algorithms
are unlikely to exist. Specifically, we give two applications by showing that:
1) finding statistically significant biclusters in the SAMBA model, proposed in
\cite{Tan02} for the analysis of microarray data, is
$n^{\epsilon}$-inapproximable; and 2) no polynomial time algorithm exists for
the Minimum Description Length with Holes problem \cite{Bu05} unless
$\mathsf{RP=NP}$.


title: On line arrangements with applications to 3-nets

abstract:
  We show a one-to-one correspondence between arrangements of d lines in the
projective plane, and lines in P^{d-2}. We apply this correspondence to
classify (3,q)-nets over the complex numbers for all q<=6. When q=6, we have
twelve possible combinatorial cases, but we prove that only nine of them are
realizable. This new case shows several new properties for 3-nets: different
dimensions for moduli, strict realization over certain fields, etc. We also
construct a three dimensional family of (3,8)-nets corresponding to the
Quaternion group.


title:
Testing turbulence model at metric scales with mid-infrared VISIR images
  at the VLT

abstract:
  We probe turbulence structure from centimetric to metric scales by
simultaneous imagery at mid-infrared and visible wavelengths at the VLT
telescope and show that it departs significantly from the commonly used
Kolmogorov model. The data can be fitted by the von Karman model with an outer
scale of the order of 30 m and we see clear signs of the phase structure
function saturation across the 8-m VLT aperture. The image quality improves in
the infrared faster than the standard lambda^{-1/5} scaling and may be
diffraction-limited at 30-m apertures even without adaptive optics at
wavelengths longer than 8 micron.


title:
Density dependence of the symmetry energy and the nuclear equation of
  state: A Dynamical and Statistical model perspective

abstract:
  The density dependence of the symmetry energy in the equation of state of
isospin asymmetric nuclear matter is of significant importance for studying the
structure of systems as diverse as the neutron-rich nuclei and the neutron
stars. A number of reactions using the dynamical and the statistical models of
multifragmentation, and the experimental isoscaling observable, is studied to
extract information on the density dependence of the symmetry energy. It is
observed that the dynamical and the statistical model calculations give
consistent results assuming the sequential decay effect in dynamical model to
be small. A comparison with several other independent studies is also made to
obtain important constraint on the form of the density dependence of the
symmetry energy. The comparison rules out an extremely " stiff " and " soft "
form of the density dependence of the symmetry energy with important
implications for astrophysical and nuclear physics studies.


title:
Competitive nucleation and the Ostwald rule in a generalized Potts model
  with multiple metastable phases

abstract:
  We introduce a simple nearest-neighbor spin model with multiple metastable
phases, the number and decay pathways of which are explicitly controlled by the
parameters of the system. With this model we can construct, for example, a
system which evolves through an arbitrarily long succession of metastable
phases. We also construct systems in which different phases may nucleate
competitively from a single initial phase. For such a system, we present a
general method to extract from numerical simulations the individual nucleation
rates of the nucleating phases. The results show that the Ostwald rule, which
predicts which phase will nucleate, must be modified probabilistically when the
new phases are almost equally stable. Finally, we show that the nucleation rate
of a phase depends, among other things, on the number of other phases
accessible from it.


title:
Contrasting Two Transformation-Based Methods for Obtaining Absolute
  Extrema

abstract:
  In this note we contrast two transformation-based methods to deduce absolute
extrema and the corresponding extremizers. Unlike variation-based methods, the
transformation-based ones of Carlson and Leitmann and the recent one of Silva
and Torres are direct in that they permit obtaining solutions by inspection.


title: Application of Ewald summations to long-range dispersion forces

abstract:
  We present results illustrating the effects of using explicit summation terms
for the $r^{-6}$ dispersion term on the interfacial properties of a
Lennard-Jones fluid and SPC/E water. For the Lennard-Jones fluid, we find that
the use of long-range summations, even with a short ``crossover radius,''
yields results that are consistent with simulations using large cutoff radii.
Simulations of SPC/E water demonstrate that the long-range dispersion forces
are of secondary importance to the Coulombic forces. In both cases, we find
that the ratio of box size $L_{\parallel}$ to crossover radius $r_{\rm
c}^{\mathbf k}$ plays an important role in determining the magnitude of the
long-range dispersion correction, although its effect is secondary when
Coulombic interactions are also present.


title:
Possible non-thermal nature of the soft-excess emission in the cluster
  of galaxies Sersic 159-03

abstract:
  We present an analysis of new Suzaku data and archival data from XMM-Newton
of the cluster of galaxies Sersic 159-03, which has a strong soft X-ray excess
emission component. The Suzaku observation confirms the presence of the soft
excess emission, but it does not confirm the presence of redshifted OVII lines
in the cluster. Radial profiles and 2D maps derived from XMM-Newton
observations show that the soft excess emission has a strong peak at the
position of the central cD galaxy and the maps do not show any significant
azimuthal variations. Although the soft excess emission can be fitted equally
well with both thermal and non-thermal models, its spatial distribution is
neither consistent with the models of intercluster warm-hot filaments, nor with
models of clumpy warm intracluster gas associated with infalling groups. Using
the data obtained by the XMM-Newton Reflection Grating Spectrometers we do not
confirm the presence of the warm gas in the cluster centre with the expected
properties assuming the soft excess is of thermal origin. The observed
properties of the soft excess emission are consistent with the non-thermal
interpretation. While the high density of relativistic electrons associated
with the peak of the soft emission in the cluster centre might have been
provided by an active galactic nucleus in the central cD galaxy, the underlying
population might have been accelerated in diffuse shocks.


title: Geometric phase of an atom inside an adiabatic radio frequency potential

abstract:
  We investigate the geometric phase of an atom inside an adiabatic radio
frequency (rf) potential created from a static magnetic field (B-field) and a
time dependent rf field. The spatial motion of the atomic center of mass is
shown to give rise to a geometric phase, or Berry's phase, to the adiabatically
evolving atomic hyperfine spin along the local B-field. This phase is found to
depend on both the static B-field along the semi-classical trajectory of the
atomic center of mass and an ``effective magnetic field'' of the total B-field,
including the oscillating rf field. Specific calculations are provided for
several recent atom interferometry experiments and proposals utilizing
adiabatic rf potentials.


title:
The Transition from the First Stars to the Second Stars in the Early
  Universe

abstract:
  We observe a sharp transition from a singular, high-mass mode of star
formation, to a low-mass dominated mode, in numerical simulations, at a
metallicity of 10^-3 Zsolar. We incorporate a new method for including the
radiative cooling from metals into adaptive mesh-refinement hydrodynamic
simulations. Our results illustrate how metals, produced by the first stars,
led to a transition from the high-mass star formation mode of Pop III stars, to
the low-mass mode that dominates today. We ran hydrodynamic simulations with
cosmological initial conditions in the standard LambdaCDM model, with
metallicities, from zero to 10^-2 Zsolar, beginnning at redshift, z = 99. The
simulations were run until a dense core forms at the center of a 5 x 10^5
Msolar dark matter halo, at z ~ 18. Analysis of the central 1 Msolar core
reveals that the two simulations with the lowest metallicities, Z = 0 and 10^-4
Zsolar, contain one clump with 99% of the mass, while the two with
metallicities, Z = 10^-3 and 10^-2 Zsolar, each contain two clumps that share
most of the mass. The Z = 10^-3 Zsolar simulation also produced two low-mass
proto-stellar objects with masses between 10^-2 and 10^-1 Msolar. Gas with Z >=
10^-3 Zsolar is able to cool to the temperature of the CMB, which sets a lower
limit to the minimum fragmentation mass. This suggests that the second
generation stars produced a spectrum of lower mass stars, but were still more
massive on average than stars formed in the local universe.


title:
Super Star Cluster Velocity Dispersions and Virial Masses in the M82
  Nuclear Starburst

abstract:
  We use high-resolution near-infrared spectroscopy from Keck Observatory to
measure the stellar velocity dispersions of 19 super star clusters (SSCs) in
the nuclear starburst of M82. The clusters have ages on the order of 10 Myr,
which is many times longer than the crossing times implied by their velocity
dispersions and radii. We therefore apply the Virial Theorem to derive the
kinematic mass for 15 of the SSCs. The SSCs have masses of 2 x 10^5 to 4 x 10^6
solar masses, with a total population mass of 1.4 x 10^7 solar masses.
Comparison of the loci of the young M82 SSCs and old Milky Way globular
clusters in a plot of radius versus velocity dispersion suggests that the SSCs
are a population of potential globular clusters. We present the mass function
for the SSCs, and find a power law fit with an index of gamma = -1.91 +/- 0.06.
This result is nearly identical to the mass function of young SSCs in the
Antennae galaxies.


title: The affine part of the Picard scheme

abstract:
  We describe the maximal torus and maximal unipotent subgroup of the Picard
variety of a proper scheme over a perfect field.


title:
Enhanced quantum Zeno effect and bunching in the decay of interacting
  bosons from an unstable state

abstract:
  paper withdrawn due to the possible error in numerical eigenfunction
calculation


title: The few scales of nuclei and nuclear matter

abstract:
  The well-known correlations of low-energy three and four-nucleon observables
with a typical three-nucleon scale (e.g., the Tjon line) is extended to light
nuclei and nuclear matter. Evidence for the scaling between light nuclei
binding energies and the triton one are pointed out. We argue that the
saturation energy and density of nuclear matter are correlated to the triton
binding energy. The available systematic nuclear matter calculations indicate a
possible band structure representing these correlations.


title:
Implementation of holonomic quantum computation through engineering and
  manipulating environment

abstract:
  We consider an atom-field coupled system, in which two pairs of four-level
atoms are respectively driven by laser fields and trapped in two distant
cavities that are connected by an optical fiber. First, we show that an
effective squeezing reservoir can be engineered under appropriate conditions.
Then, we show that a two-qubit geometric CPHASE gate between the atoms in the
two cavities can be implemented through adiabatically manipulating the
engineered reservoir along a closed loop. This scheme that combines engineering
environment with decoherence-free space and geometric phase quantum computation
together has the remarkable feature: a CPHASE gate with arbitrary phase shift
is implemented by simply changing the strength and relative phase of the
driving fields.


title:
Vortex state in a Fulde-Ferrell-Larkin-Ovchinnikov superconductor based
  on the quasiclassical theory

abstract:
  We investigate the vortex state with Fulde-Ferrell-Larkin-Ovchinnikov (FFLO)
modulations suggested for a high field phase of CeCoIn_5. On the basis of the
quasiclassical Eilenberger theory, we calculate the three dimensional structure
of pair potentials, internal magnetic fields, paramagnetic moments, and
electronic states, for the s-wave and the d-wave pairings comparatively. The
\pi-phase shift of the pair potential at the FFLO nodal plane or at the vortex
core induces sharp peak states in the local density of states, and enhances the
local paramagnetic moment. We also discuss the NMR spectrum and the neutron
scattering as methods to detect the FFLO structure.


title: Search for Chaotic Behavior in a Flapping Flag

abstract:
  We measured the correlation of the times between successive flaps of a flag
for a variety of wind speeds and found no evidence of low dimensional chaotic
behavior in the return maps of these times. We instead observed what is best
modeled as random times determined by an exponential distribution. This study
was done as an undergraduate experiment and illustrates the differences between
low dimensional chaotic and possibly higher dimensional chaotic systems.


title: Optimal Shape Design for Stokes Flow Via Minimax Differentiability

abstract:
  This paper is concerned with a shape sensitivity analysis of a viscous
incompressible fluid driven by Stokes equations with nonhomogeneous boundary
condition. The structure of shape gradient with respect to the shape of the
variable domain for a given cost function is established by using the
differentiability of a minimax formulation involving a Lagrangian functional
combining with function space parametrization technique or function space
embedding technique. We apply an gradient type algorithm to our problem.
Numerical examples show that our theory is useful for practical purpose and the
proposed algorithm is feasible.


title:
Kinematic Decoupling of Globular Clusters with Extended
  Horizontal-Branch

abstract:
  About 25% of the Milky Way globular clusters (GCs) exhibit unusually extended
color distribution of stars in the horizontal-branch (HB) phase. This
phenomenon is now best understood as due to the presence of helium enhanced
second generation subpopulations, which has raised a possibility that these
peculiar GCs might have a unique origin. Here we show that these GCs with
extended HB are clearly distinct from other normal GCs in kinematics and mass.
The GCs with extended HB are more massive than normal GCs, and are dominated by
random motion with no correlation between kinematics and metallicity.
Surprisingly, however, when they are excluded, most normal GCs in the inner
halo show clear signs of dissipational collapse that apparently led to the
formation of the disk. Normal GCs in the outer halo share their kinematic
properties with the extended HB GCs, which is consistent with the accretion
origin. Our result further suggests heterogeneous origins of GCs, and we
anticipate this to be a starting point for more detailed investigations of
Milky Way formation, including early mergers, collapse, and later accretion.


title: Scalar potential model progress

abstract:
  Because observations of galaxies and clusters have been found inconsistent
with General Relativity (GR), the focus of effort in developing a Scalar
Potential Model (SPM) has been on the examination of galaxies and clusters. The
SPM has been found to be consistent with cluster cellular structure, the flow
of IGM from spiral galaxies to elliptical galaxies, intergalactic redshift
without an expanding universe, discrete redshift, rotation curve (RC) data
without dark matter, asymmetric RCs, galaxy central mass, galaxy central
velocity dispersion, and the Pioneer Anomaly. In addition, the SPM suggests a
model of past expansion, past contraction, and current expansion of the
universe. GR corresponds to the SPM in the limit in which the effect of the
Sources and Sinks approximate a flat scalar potential field such as between
clusters and on the solar system scale, which is small relative to the distance
to a Source.


title:
Teleparallel Version of the Stationary Axisymmetric Solutions and their
  Energy Contents

abstract:
  This work contains the teleparallel version of the stationary axisymmetric
solutions. We obtain the tetrad and the torsion fields representing these
solutions. The tensor, vector and axial-vector parts of the torsion tensor are
evaluated. It is found that the axial-vector has component only along $\rho$
and $z$ directions. The three possibilities of the axial vector depending on
the metric function $B$ are discussed. The vector related with spin has also
been evaluated and the corresponding extra Hamiltonian is furnished. Further,
we use the teleparallel version of M$\ddot{o}$ller prescription to find the
energy-momentum distribution of the solutions. It is interesting to note that
(for $\lambda=1$) energy and momentum densities in teleparallel theory are
equal to the corresponding quantities in GR plus an additional quantity in
each, which may become equal under certain conditions. Finally, we discuss the
two special cases of the stationary axisymmetric solutions.


title:
Relativistic treatment in D-dimensions to a spin-zero particle with
  noncentral equal scalar and vector ring-shaped Kratzer potential

abstract:
  The Klein-Gordon equation in D-dimensions for a recently proposed Kratzer
potential plus ring-shaped potential is solved analytically by means of the
conventional Nikiforov-Uvarov method. The exact energy bound-states and the
corresponding wave functions of the Klein-Gordon are obtained in the presence
of the noncentral equal scalar and vector potentials. The results obtained in
this work are more general and can be reduced to the standard forms in
three-dimensions given by other works.


title: Long Distance Signaling Using Axion-like Particles

abstract:
  The possible existence of axion-like particles could lead to a new type of
long distance communication. In this work, basic antenna concepts are defined
and a Friis-like equation is derived to facilitate long-distance link
calculations. An example calculation is presented showing that communication
over distances of 1000 km or more may be possible for $m_{a}< 3.5$ meV and
$g_{a\gamma \gamma} > 5 \times 10^{- 8} {\text{GeV}}^{- 1}$.


title: Weighted percolation on directed networks

abstract:
  We present an analysis of the percolation transition for general node removal
strategies valid for locally tree-like directed networks. On the basis of
heuristic arguments we predict that, if the probability of removing node $i$ is
$p_i$, the network disintegrates if $p_i$ is such that the largest eigenvalue
of the matrix with entries $A_{ij}(1-p_i)$ is less than 1, where $A$ is the
adjacency matrix of the network. The knowledge or applicability of a Markov
network model is not required by our theory, thus making it applicable to
situations not covered by previous works. We test our predicted percolation
criterion against numerical results for different networks and node removal
strategies.


title: Refuting the Pseudo Attack on the REESSE1+ Cryptosystem

abstract:
  We illustrate through example 1 and 2 that the condition at theorem 1 in [8]
dissatisfies necessity, and the converse proposition of fact 1.1 in [8] does
not hold, namely the condition Z/M - L/Ak < 1/(2 Ak^2) is not sufficient for
f(i) + f(j) = f(k). Illuminate through an analysis and ex.3 that there is a
logic error during deduction of fact 1.2, which causes each of fact 1.2, 1.3, 4
to be invalid. Demonstrate through ex.4 and 5 that each or the combination of
qu+1 > qu * D at fact 4 and table 1 at fact 2.2 is not sufficient for f(i) +
f(j) = f(k), property 1, 2, 3, 4, 5 each are invalid, and alg.1 based on fact 4
and alg.2 based on table 1 are disordered and wrong logically. Further,
manifest through a repeated experiment and ex.5 that the data at table 2 is
falsified, and the example in [8] is woven elaborately. We explain why Cx = Ax
* W^f(x) (% M) is changed to Cx = (Ax * W^f(x))^d (% M) in REESSE1+ v2.1. To
the signature fraud, we point out that [8] misunderstands the existence of T^-1
and Q^-1 % (M-1), and forging of Q can be easily avoided through moving H.
Therefore, the conclusion of [8] that REESSE1+ is not secure at all (which
connotes that [8] can extract a related private key from any public key in
REESSE1+) is fully incorrect, and as long as the parameter Omega is fitly
selected, REESSE1+ with Cx = Ax * W^f(x) (% M) is secure.


title:
Phase structure of a surface model on dynamically triangulated spheres
  with elastic skeletons

abstract:
  We find three distinct phases; a tubular phase, a planar phase, and the
spherical phase, in a triangulated fluid surface model. It is also found that
these phases are separated by discontinuous transitions. The fluid surface
model is investigated within the framework of the conventional curvature model
by using the canonical Monte Carlo simulations with dynamical triangulations.
The mechanical strength of the surface is given only by skeletons, and no
two-dimensional bending energy is assumed in the Hamiltonian. The skeletons are
composed of elastic linear-chains and rigid junctions and form a
compartmentalized structure on the surface, and for this reason the vertices of
triangles can diffuse freely only inside the compartments. As a consequence, an
inhomogeneous structure is introduced in the model; the surface strength inside
the compartments is different from the surface strength on the compartments.
However, the rotational symmetry is not influenced by the elastic skeletons;
there is no specific direction on the surface. In addition to the three phases
mentioned above, a collapsed phase is expected to exist in the low bending
rigidity regime that was not studied here. The inhomogeneous structure and the
fluidity of vertices are considered to be the origin of such variety of phases.


title:
Vortex Dynamics at the Initial Stage of Resistive Transition in
  Superconductors with Fractal Cluster Structure

abstract:
  The effect of fractal normal-phase clusters on vortex dynamics in a
percolative superconductor is considered. The superconductor contains
percolative superconducting cluster carrying a transport current and clusters
of a normal phase, acting as pinning centers. A prototype of such a structure
is YBCO film, containing clusters of columnar defects, as well as the BSCCO/Ag
sheathed tape, which is of practical interest for wire fabrication. Transition
of the superconductor into a resistive state corresponds to the percolation
transition from a pinned vortex state to a resistive state when the vortices
are free to move. The dependencies of the free vortex density on the fractal
dimension of the cluster boundary as well as the resistance on the transport
current are obtained. It is revealed that a mixed state of the vortex glass
type is realized in the superconducting system involved. The current-voltage
characteristics of superconductors containing fractal clusters are obtained and
their features are studied.


title: The Veldkamp Space of Two-Qubits

abstract:
  Given a remarkable representation of the generalized Pauli operators of
two-qubits in terms of the points of the generalized quadrangle of order two,
W(2), it is shown that specific subsets of these operators can also be
associated with the points and lines of the four-dimensional projective space
over the Galois field with two elements - the so-called Veldkamp space of W(2).
An intriguing novelty is the recognition of (uni- and tri-centric) triads and
specific pentads of the Pauli operators in addition to the "classical" subsets
answering to geometric hyperplanes of W(2).


title:
Fusion process studied with preequilibrium giant dipole resonance in
  time dependent Hartree-Fock theory

abstract:
  The equilibration of macroscopic degrees of freedom during the fusion of
heavy nuclei, like the charge and the shape, are studied in the Time-Dependent
Hartree-Fock theory. The pre-equilibrium Giant Dipole Resonance (GDR) is used
to probe the fusion path. It is shown that such isovector collective state is
excited in N/Z asymmetric fusion and to a less extent in mass asymmetric
systems. The characteristics of this GDR are governed by the structure of the
fused system in its preequilibrium phase, like its deformation, rotation and
vibration. In particular, we show that a lowering of the pre-equilibrium GDR
energy is expected as compared to the statistical one. Revisiting experimental
data, we extract an evidence of this lowering for the first time. We also
quantify the fusion-evaporation enhancement due to gamma-ray emission from the
pre-equilibrium GDR. This cooling mechanism along the fusion path may be
suitable to synthesize in the future super heavy elements using radioactive
beams with strong N/Z asymmetries in the entrance channel.


title:
Penalization approach for mixed hyperbolic systems with constant
  coefficients satisfying a Uniform Lopatinski Condition

abstract:
  In this paper, we describe a new, systematic and explicit way of
approximating solutions of mixed hyperbolic systems with constant coefficients
satisfying a Uniform Lopatinski Condition via different Penalization
approaches.


title:
A unified analysis of the reactor neutrino program towards the
  measurement of the theta_13 mixing angle

abstract:
  We present in this article a detailed quantitative discussion of the
measurement of the leptonic mixing angle theta_13 through currently scheduled
reactor neutrino oscillation experiments. We thus focus on Double Chooz (Phase
I & II), Daya Bay (Phase I & II) and RENO experiments. We perform a unified
analysis, including systematics, backgrounds and accurate experimental setup in
each case. Each identified systematic error and background impact has been
assessed on experimental setups following published data when available and
extrapolating from Double Chooz acquired knowledge otherwise. After reviewing
the experiments, we present a new analysis of their sensitivities to sin^2(2
theta_13) and study the impact of the different systematics based on the pulls
approach. Through this generic statistical analysis we discuss the advantages
and drawbacks of each experimental setup.


title:
Optimal Routing for Decode-and-Forward based Cooperation in Wireless
  Networks

abstract:
  We investigate cooperative wireless relay networks in which the nodes can
help each other in data transmission. We study different coding strategies in
the single-source single-destination network with many relay nodes. Given the
myriad of ways in which nodes can cooperate, there is a natural routing
problem, i.e., determining an ordered set of nodes to relay the data from the
source to the destination. We find that for a given route, the
decode-and-forward strategy, which is an information theoretic cooperative
coding strategy, achieves rates significantly higher than that achievable by
the usual multi-hop coding strategy, which is a point-to-point non-cooperative
coding strategy. We construct an algorithm to find an optimal route (in terms
of rate maximizing) for the decode-and-forward strategy. Since the algorithm
runs in factorial time in the worst case, we propose a heuristic algorithm that
runs in polynomial time. The heuristic algorithm outputs an optimal route when
the nodes transmit independent codewords. We implement these coding strategies
using practical low density parity check codes to compare the performance of
the strategies on different routes.


title: On the polynomial automorphisms of a group

abstract:
  We prove that if a group is nilpotent (resp. metabelian), then so is the
subgroup of its automorphism group generated by all polynomial automorphisms.


title:
On universality of critical behaviour in the focusing nonlinear
  Schr\"odinger equation, elliptic umbilic catastrophe and the {\it
  tritronqu\'ee} solution to the Painlev\'e-I equation

abstract:
  We argue that the critical behaviour near the point of ``gradient
catastrophe" of the solution to the Cauchy problem for the focusing nonlinear
Schr\"odinger equation $ i\epsilon \psi_t +\frac{\epsilon^2}2\psi_{xx}+
|\psi|^2 \psi =0$ with analytic initial data of the form $\psi(x,0;\epsilon)
=A(x) e^{\frac{i}{\epsilon} S(x)}$ is approximately described by a particular
solution to the Painlev\'e-I equation.


title:
Generic representations of orthogonal groups: projective functors in the
  category Fquad

abstract:
  In this paper, we continue the study of the category of functors Fquad,
associated to F_2-vector spaces equipped with a nondegenerate quadratic form,
initiated in two previous papers of the author. We define a filtration of the
standard projective objects in Fquad; this refines to give a decomposition into
indecomposable factors of the two first standard projective objects in Fquad.
As an application of these two decompositions, we give a complete description
of the polynomial functors of the category Fquad.


title: Manifolds admitting a $\tilde G_2$-structure

abstract:
  We find a necessary and sufficient condition for a compact 7-manifold to
admit a $\tilde G_2$-structure. As a result we find a sufficient condition for
an open 7-manifold to admit a closed 3-form of $\tilde G_2$-type.


title: Compatibility of Exotic States with Neutron Star Observation

abstract:
  We consider the effect of hard core repulsion in the baryon-baryon
interaction at short distance to the properties of a neutron star. We obtain
that, even with hyperons in the interior of a neutron star, the neutron star
mass can be as large as $\sim 2 M_\odot$.


title:
Exact Solutions of Einstein-Yang-Mills Theory with Higher-Derivative
  Coupling

abstract:
  We construct a classical solution of an Einstein-Yang-Mills system with a
fourth order term with respect to the field strength of the Yang-Mills field.
The solution provides a spontaneous compactification proposed by Cremmer and
Scherk; ten-dimensional space-time with a cosmological constant is compactified
to the four-dimensional Minkowski space with a six-dimensional sphere S^6 on
which an instanton solution exists. The radius of the sphere is not a modulus
but is determined by the gauge coupling and the four-derivative coupling
constants and the Newton's constant. We also construct a solution of
ten-dimensional theory without a cosmological constant compactified to AdS_4 x
S^6.


title: Dimensional crossover of quantum critical behavior in CeCoIn$_5$

abstract:
  The nature of quantum criticality in CeCoIn$_5$ is studied by low-temperature
thermal expansion $\alpha(T)$. At the field-induced quantum critical point at
H=5 T a crossover scale $T^\star\approx 0.3$ K is observed, separating
$\alpha(T)/T\propto T^{-1}$ from a weaker $T^{-1/2}$ divergence. We ascribe
this change to a crossover in the dimensionality of the critical fluctuations
which may be coupled to a change from unconventional to conventional quantum
criticality. Disorder, whose effect on quantum criticality is studied in
CeCoIn$_{5-x}$Sn$_x$ ($0\leq x\leq 0.18$), shifts $T^\star$ towards higher
temperatures.


title: E_6 and the bipartite entanglement of three qutrits

abstract:
  Recent investigations have established an analogy between the entropy of
four-dimensional supersymmetric black holes in string theory and entanglement
in quantum information theory. Examples include: (1) N=2 STU black holes and
the tripartite entanglement of three qubits (2-state systems), where the common
symmetry is [SL(2)]^3 and (2) N=8 black holes and the tripartite entanglement
of seven qubits where the common symmetry is E_7 which contains [SL(2)]^7. Here
we present another example: N=8 black holes (or black strings) in five
dimensions and the bipartite entanglement of three qutrits (3-state systems),
where the common symmetry is E_6 which contains [SL(3)]^3. Both the black hole
(or black string) entropy and the entanglement measure are provided by the
Cartan cubic E_6 invariant. Similar analogies exist for ``magic'' N=2
supergravity black holes in both four and five dimensions.


title: Invariance principle for additive functionals of Markov chains

abstract:
  We consider a sequence of additive functionals {\phi_n}, set on a sequence of
Markov chains {X_n} that weakly converges to a Markov process X. We give
sufficient condition for such a sequence to converge in distribution,
formulated in terms of the characteristics of the additive functionals, and
related to the Dynkin's theorem on the convergence of W-functionals. As an
application of the main theorem, the general sufficient condition for
convergence of additive functionals in terms of transition probabilities of the
chains X_n is proved.


title:
Dissipative backward stochastic differential equations with locally
  Lipschitz nonlinearity

abstract:
  In this paper we study a class of backward stochastic differential equations
(BSDEs) of the form dY(t)= -AY(t)dt -f_0(t,Y(t))dt -f_1(t,Y(t),Z(t))dt +
Z(t)dW(t) on the interval [0,T], with given final condition at time T, in an
infinite dimensional Hilbert space H. The unbounded operator A is sectorial and
dissipative and the nonlinearity f_0(t,y) is dissipative and defined for y only
taking values in a subspace of H. A typical example is provided by the
so-called polynomial nonlinearities. Applications are given to stochastic
partial differential equations and spin systems.


title: Axino warm dark matter and $\Omega_b - \Omega_{DM}$ coincidence

abstract:
  We show that axinos, which are dominantly generated by the decay of the
next-to-lightest supersymmetric particles produced from the leptonic $Q$-ball
($L$-ball), become warm dark matter suitable for the solution of the missing
satellite problem and the cusp problem. In addition, $\Omega_b - \Omega_{DM}$
coincidence is naturally explained in this scenario.


title: A unified approach to SIC-POVMs and MUBs

abstract:
  A unified approach to (symmetric informationally complete) positive operator
valued measures and mutually unbiased bases is developed in this article. The
approach is based on the use of operator equivalents expanded in the enveloping
algebra of SU(2). Emphasis is put on similarities and differences between
SIC-POVMs and MUBs.


title:
Stable oscillations of a predator-prey probabilistic cellular automaton:
  a mean-field approach

abstract:
  We analyze a probabilistic cellular automaton describing the dynamics of
coexistence of a predator-prey system. The individuals of each species are
localized over the sites of a lattice and the local stochastic updating rules
are inspired on the processes of the Lotka-Volterra model. Two levels of
mean-field approximations are set up. The simple approximation is equivalent to
an extended patch model, a simple metapopulation model with patches colonized
by prey, patches colonized by predators and empty patches. This approximation
is capable of describing the limited available space for species occupancy. The
pair approximation is moreover able to describe two types of coexistence of
prey and predators: one where population densities are constant in time and
another displaying self-sustained time-oscillations of the population
densities. The oscillations are associated with limit cycles and arise through
a Hopf bifurcation. They are stable against changes in the initial conditions
and, in this sense, they differ from the Lotka-Volterra cycles which depend on
initial conditions. In this respect, the present model is biologically more
realistic than the Lotka-Volterra model.


title: SDSS J233325.92+152222.1 and the evolution of intermediate polars

abstract:
  Intermediate polars (IPs) are cataclysmic variables which contain magnetic
white dwarfs with a rotational period shorter than the binary orbital period.
Evolutionary theory predicts that IPs with long orbital periods evolve through
the 2-3 hour period gap, but it is very uncertain what the properties of the
resulting objects are. Whilst a relatively large number of long-period IPs are
known, very few of these have short orbital periods. We present phase-resolved
spectroscopy and photometry of SDSS J233325.92+152222.1 and classify it as the
IP with the shortest known orbital period (83.12 +/- 0.09 min), which contains
a white dwarf with a relatively long spin period (41.66 +/- 0.13 min). We
estimate the white dwarf's magnetic moment to be mu(WD) \approx 2 x 10^33 G
cm^3, which is not only similar to three of the other four confirmed
short-period IPs but also to those of many of the long-period IPs. We suggest
that long-period IPs conserve their magnetic moment as they evolve towards
shorter orbital periods. Therefore the dominant population of long-period IPs,
which have white dwarf spin periods roughly ten times shorter than their
orbital periods, will likely end up as short-period IPs like SDSS J2333, with
spin periods a large fraction of their orbital periods.


title: Complexity Considerations, cSAT Lower Bound

abstract:
  This article discusses completeness of Boolean Algebra as First Order Theory
in Goedel's meaning. If Theory is complete then any possible transformation is
equivalent to some transformation using axioms, predicates etc. defined for
this theory. If formula is to be proved (or disproved) then it has to be
reduced to axioms. If every transformation is deducible then also optimal
transformation is deducible. If every transformation is exponential then
optimal one is too, what allows to define lower bound for discussed problem to
be exponential (outside P). Then we show algorithm for NDTM solving the same
problem in O(n^c) (so problem is in NP), what proves that P \neq NP.
  Article proves also that result of relativisation of P=NP question and oracle
shown by Baker-Gill-Solovay distinguish between deterministic and
non-deterministic calculation models. If there exists oracle A for which
P^A=NP^A then A consists of infinite number of algorithms, DTMs, axioms and
predicates, or like NDTM infinite number of simultaneous states.


title:
Temperature dependence of Coulomb drag between finite-length quantum
  wires

abstract:
  We evaluate the Coulomb drag current in two finite-length
Tomonaga-Luttinger-liquid wires coupled by an electrostatic backscattering
interaction. The drag current in one wire shows oscillations as a function of
the bias voltage applied to the other wire, reflecting interferences of the
plasmon standing waves in the interacting wires. In agreement with this
picture, the amplitude of the current oscillations is reduced with increasing
temperature. This is a clear signature of non-Fermi-liquid physics because for
coupled Fermi liquids the drag resistance is always expected to increase as the
temperature is raised.


title:
Effects of Imperfect Gate Operations in Shor's Prime Factorization
  Algorithm

abstract:
  The effects of imperfect gate operations in implementation of Shor's prime
factorization algorithm are investigated. The gate imperfections may be
classified into three categories: the systematic error, the random error, and
the one with combined errors. It is found that Shor's algorithm is robust
against the systematic errors but is vulnerable to the random errors. Error
threshold is given to the algorithm for a given number $N$ to be factorized.


title:
Using decomposed household food acquisitions as inputs of a Kinetic
  Dietary Exposure Model

abstract:
  Foods naturally contain a number of contaminants that may have different and
long term toxic effects. This paper introduces a novel approach for the
assessment of such chronic food risk that integrates the pharmacokinetic
properties of a given contaminant. The estimation of such a Kinetic Dietary
Exposure Model (KDEM) should be based on long term consumption data which, for
the moment, can only be provided by Household Budget Surveys such as the
SECODIP panel in France. A semi parametric model is proposed to decompose a
series of household quantities into individual quantities which are then used
as inputs of the KDEM. As an illustration, the risk assessment related to the
presence of methyl mercury in seafood is revisited using this novel approach.


title:
Dust and gas emission in the prototypical hot core G29.96-0.02 at
  sub-arcsecond resolution

abstract:
  Aiming at a better understand of the physical and chemical processes in the
hot molecular core stage of high-mass star formation, we observed the
prototypical hot core G29.96-0.02 in the 862mu band with the Submillimeter
Array (SMA) at sub-arcsecond spatial resolution. The observations resolved the
hot molecular core into six submm continuum sources with the finest spatial
resolution of 0.36''x0.25'' (~1800AU) achieved so far. Four of them located
within 7800(AU)^2 comprise a proto-Trapezium system with estimated protostellar
densities of 1.4x0^5 protostars/pc^3. The plethora of ~80 spectral lines allows
us to study the molecular outflow(s), the core kinematics, the temperature
structure of the region as well as chemical effects. The derived hot core
temperatures are of the order 300K. We find interesting chemical spatial
differentiations, e.g., C34S is deficient toward the hot core and is enhanced
at the UCHII/hot core interface, which may be explained by temperature
sensitive desorption from grains and following gas phase chemistry. The
SiO(8-7) emission outlines likely two molecular outflows emanating from this
hot core region. Emission from most other molecules peaks centrally on the hot
core and is not dominated by any individual submm peak. Potential reasons for
that are discussed. A few spectral lines that are associated with the main
submm continuum source, show a velocity gradient perpendicular to the
large-scale outflow. Since this velocity structure comprises three of the
central protostellar sources, this is not a Keplerian disk. While the data are
consistent with a gas core that may rotate and/or collapse, we cannot exclude
the outflow(s) and/or nearby expanding UCHII region as possible alternative
causes of this velocity pattern.


title: Hamilton-Jacobi Fractional Sequential Mechanics

abstract:
  As a continuation of Rabei et al. work [11], the Hamilton- Jacobi partial
differential equation is generalized to be applicable for systems containing
fractional derivatives. The Hamilton- Jacobi function in configuration space is
obtained in a similar manner to the usual mechanics. Two problems are
considered to demonstrate the application of the formalism. The result found to
be in exact agreement with Agrawal's formalism.


title: A critical theory of quantum entanglement for the Hydrogen molecule

abstract:
  In this paper we investigate some entanglement properties for the Hydrogen
molecule considered as a two interacting spin 1/2 (qubit) model. The
entanglement related to the $H_{2}$ molecule is evaluated both using the von
Neumann entropy and the Concurrence and it is compared with the corresponding
quantities for the two interacting spin system. Many aspects of these functions
are examinated employing in part analytical and, essentially, numerical
techniques. We have compared analogous results obtained by Huang and Kais a few
years ago. In this respect, some possible controversial situations are
presented and discussed.


title: Fractionally charged excitations on frustrated lattices

abstract:
  Systems of strongly correlated fermions on certain geometrically frustrated
lattices at particular filling factors support excitations with fractional
charges $\pm e/2$. We calculate quantum mechanical ground states, low--lying
excitations and spectral functions of finite lattices by means of numerical
diagonalization. The ground state of the most thoroughfully studied case, the
criss-crossed checkerboard lattice, is degenerate and shows long--range order.
Static fractional charges are confined by a weak linear force, most probably
leading to bound states of large spatial extent. Consequently, the
quasi-particle weight is reduced, which reflects the internal dynamics of the
fractionally charged excitations. By using an additional parameter, we
fine--tune the system to a special point at which fractional charges are
manifestly deconfined--the so--called Rokhsar--Kivelson point. For a deeper
understanding of the low--energy physics of these models and for numerical
advantages, several conserved quantum numbers are identified.


title:
Measurement of Decay Amplitudes of B -->(c cbar) Kstar with an Angular
  Analysis, for (c cbar)=J/psi, psi(2S) and chi_c1

abstract:
  We perform the first three-dimensional measurement of the amplitudes of $B\to
\psi(2S) K^*$ and $B\to \chi_{c1} K^*$ decays and update our previous
measurement for $B\to J/\psi K^*$. We use a data sample collected with the
BaBar detector at the PEP2 storage ring, corresponding to 232 million $B\bar B$
pairs. The longitudinal polarization of decays involving a $J^{PC}=1^{++}$
$\chi_{c1}$ meson is found to be larger than that with a $1^{--}$ $J/\psi$ or
$\psi(2S)$ meson. No direct {\it CP}-violating charge asymmetry is observed.


title:
Quantum superpositions and entanglement of thermal states at high
  temperatures and their applications to quantum information processing

abstract:
  We study characteristics of superpositions and entanglement of thermal states
at high temperatures and discuss their applications to quantum information
processing. We introduce thermal-state qubits and thermal-Bell states, which
are a generalization of pure-state qubits and Bell states to thermal mixtures.
A scheme is then presented to discriminate between the four thermal-Bell states
without photon number resolving detection but with Kerr nonlinear interactions
and two single-photon detectors. This enables one to perform quantum
teleportation and gate operations for quantum computation with thermal-state
qubits.


title:
Optimal control of stochastic differential equations with dynamical
  boundary conditions

abstract:
  In this paper we investigate the optimal control problem for a class of
stochastic Cauchy evolution problem with non standard boundary dynamic and
control. The model is composed by an infinite dimensional dynamical system
coupled with a finite dimensional dynamics, which describes the boundary
conditions of the internal system. In other terms, we are concerned with non
standard boundary conditions, as the value at the boundary is governed by a
different stochastic differential equation.


title: On the Energy-Momentum Problem in Static Einstein Universe

abstract:
  This paper has been removed by arXiv administrators because it plagiarizes
gr-qc/0410004, gr-qc/0603075, and others.
  This paper also has excessive overlap with the following papers also written
by the authors or their collaborators: gr-qc/0608111, and others.


title: Fractional WKB Approximation

abstract:
  Wentzel, Kramers, Brillouin (WKB) approximation for fractional systems is
investigated in this paper using the fractional calculus. In the fractional
case the wave function is constructed such that the phase factor is the same as
the Hamilton's principle function "S". To demonstrate our proposed approach two
examples are investigated in details.


title:
Towards Skyrmion Stars: Large Baryon Configurations in the
  Einstein-Skyrme Model

abstract:
  We investigate the large baryon number sector of the Einstein-Skyrme model as
a possible model for baryon stars. Gravitating hedgehog skyrmions have been
investigated previously and the existence of stable solitonic stars excluded
due to energy considerations. However, in this paper we demonstrate that by
generating gravitating skyrmions using rational maps, we can achieve
multi-baryon bound states whilst recovering spherical symmetry in the limit
where B becomes large.


title:
Many-to-One Throughput Capacity of IEEE 802.11 Multi-hop Wireless
  Networks

abstract:
  This paper investigates the many-to-one throughput capacity (and by symmetry,
one-to-many throughput capacity) of IEEE 802.11 multi-hop networks. It has
generally been assumed in prior studies that the many-to-one throughput
capacity is upper-bounded by the link capacity L. Throughput capacity L is not
achievable under 802.11. This paper introduces the notion of "canonical
networks", which is a class of regularly-structured networks whose capacities
can be analyzed more easily than unstructured networks. We show that the
throughput capacity of canonical networks under 802.11 has an analytical upper
bound of 3L/4 when the source nodes are two or more hops away from the sink;
and simulated throughputs of 0.690L (0.740L) when the source nodes are many
hops away. We conjecture that 3L/4 is also the upper bound for general
networks. When all links have equal length, 2L/3 can be shown to be the upper
bound for general networks. Our simulations show that 802.11 networks with
random topologies operated with AODV routing can only achieve throughputs far
below the upper bounds. Fortunately, by properly selecting routes near the
gateway (or by properly positioning the relay nodes leading to the gateway) to
fashion after the structure of canonical networks, the throughput can be
improved significantly by more than 150%. Indeed, in a dense network, it is
worthwhile to deactivate some of the relay nodes near the sink judiciously.


title:
Scanning Tunneling Spectroscopy in the Superconducting State and Vortex
  Cores of the beta-pyrochlore KOs2O6

abstract:
  We performed the first scanning tunneling spectroscopy measurements on the
pyrochlore superconductor KOs2O6 (Tc = 9.6 K) in both zero magnetic field and
the vortex state at several temperatures above 1.95 K. This material presents
atomically flat surfaces, yielding spatially homogeneous spectra which reveal
fully-gapped superconductivity with a gap anisotropy of 30%. Measurements
performed at fields of 2 and 6 T display a hexagonal Abrikosov flux line
lattice. From the shape of the vortex cores, we extract a coherence length of
31-40 {\AA}, in agreement with the value derived from the upper critical field
Hc2. We observe a reduction in size of the vortex cores (and hence the
coherence length) with increasing field which is consistent with the
unexpectedly high and unsaturated upper critical field reported.


title:
Noncommutative Solitons in a Supersymmetric Chiral Model in 2+1
  Dimensions

abstract:
  We consider a supersymmetric Bogomolny-type model in 2+1 dimensions
originating from twistor string theory. By a gauge fixing this model is reduced
to a modified U(n) chiral model with N<=8 supersymmetries in 2+1 dimensions.
After a Moyal-type deformation of the model, we employ the dressing method to
explicitly construct multi-soliton configurations on noncommutative R^{2,1} and
analyze some of their properties.


title: Gravitational Duality Transformations on (A)dS4

abstract:
  We discuss the implementation of electric-magnetic duality transformations in
four-dimensional gravity linearized around Minkowski or (A)dS4 backgrounds. In
the presence of a cosmological constant duality generically modifies the
Hamiltonian, nevertheless the bulk dynamics is unchanged. We pay particular
attention to the boundary terms generated by the duality transformations and
discuss their implications for holography.


title:
Effect of transition-metal elements on the electronic properties of
  quasicrystals and complex aluminides

abstract:
  In this paper, we briefly present our work on the role of transition-metal
element in electronic structure and transport properties of quasicrystals and
related complex phases. Several Parts of these works have been done or
initiated in collaboration with Prof. T. Fujiwara.


title:
Non-resonant and Resonant X-ray Scattering Studies on Multiferroic
  TbMn2O5

abstract:
  Comprehensive x-ray scattering studies, including resonant scattering at Mn
L-edge, Tb L- and M-edges, were performed on single crystals of TbMn2O5. X-ray
intensities were observed at a forbidden Bragg position in the ferroelectric
phases, in addition to the lattice and the magnetic modulation peaks.
Temperature dependences of their intensities and the relation between the
modulation wave vectors provide direct evidences of exchange striction induced
ferroelectricity. Resonant x-ray scattering results demonstrate the presence of
multiple magnetic orders by exhibiting their different temperature dependences.
The commensurate-to-incommensurate phase transition around 24 K is attributed
to discommensuration through phase slipping of the magnetic orders in spin
frustrated geometries. We proposed that the low temperature incommensurate
phase consists of the commensurate magnetic domains separated by anti-phase
domain walls which reduce spontaneous polarizations abruptly at the transition.


title:
Self-diffusion and Interdiffusion in Al80Ni20 Melts: Simulation and
  Experiment

abstract:
  A combination of experimental techniques and molecular dynamics (MD) computer
simulation is used to investigate the diffusion dynamics in Al80Ni20 melts.
Experimentally, the self-diffusion coefficient of Ni is measured by the
long-capillary (LC) method and by quasielastic neutron scattering. The LC
method yields also the interdiffusion coefficient. Whereas the experiments were
done in the normal liquid state, the simulations provided the determination of
both self-diffusion and interdiffusion constants in the undercooled regime as
well. The simulation results show good agreement with the experimental data. In
the temperature range 3000 K >= T >= 715 K, the interdiffusion coefficient is
larger than the self-diffusion constants. Furthermore the simulation shows that
this difference becomes larger in the undercooled regime. This result can be
refered to a relatively strong temperature dependence of the thermodynamic
factor \Phi, which describes the thermodynamic driving force for
interdiffusion. The simulations also indicate that the Darken equation is a
good approximation, even in the undercooled regime. This implies that dynamic
cross correlations play a minor role for the temperature range under
consideration.


title:
The Formation of Globular Cluster Systems in Massive Elliptical
  Galaxies: Globular Cluster Multimodality from Radial Variation of Stellar
  Populations

abstract:
  The most massive elliptical galaxies show a prominent multi-modality in their
globular cluster system color distributions. Understanding the mechanisms which
lead to multiple globular cluster sub-populations is essential for a complete
picture of massive galaxy formation. By assuming that globular cluster
formation traces the total star formation and taking into account the radial
variations in the composite stellar populations predicted by the Pipino &
Matteucci (2004) multi-zone photo-chemical evolution code, we compute the
distribution of globular cluster properties as a function of galactocentric
radius. We compare our results to the spectroscopic measurements of globular
clusters in nearby early-type galaxies by Puzia et al. (2006) and show that the
observed multi-modality in globular cluster systems of massive ellipticals can
be, at least partly, ascribed to the radial variation in the mix of stellar
populations. Our model predicts the presence of a super-metal-rich population
of globular clusters in the most massive elliptical galaxies, which is in very
good agreement with the spectroscopic observations. Furthermore, we investigate
the impact of other non-linear mechanisms that shape the metallicity
distribution of globular cluster systems, in particular the role of
merger-induced globular cluster formation and a non-linear color-metallicity
transformation, and discuss their influence in the context of our model
(abridged)


title: Binaries, microquasars and GLAST

abstract:
  Radio and X-ray observations of the relativistic jets of microquasars show
evidence for the acceleration of particles to very high energies. Signatures of
non-thermal processes occurring closer in to the compact object can also be
found. In addition, three binaries are now established emitters of high (> 100
MeV) and/or very high (> 100GeV) energy gamma-rays. High-energy emission can
originate from a microquasar jet (accretion-powered) or from a shocked pulsar
wind (rotation-powered). I discuss the impact GLAST will have in the very near
future on studies of such binaries. GLAST is expected to shed new light on the
link between accretion and ejection in microquasars and to enable to probe
pulsar winds on small scales in rotation-powered binaries.


title:
Linearisation of finite abelian subgroups of the Cremona group of the
  plane

abstract:
  This article gives the proof of results announced in [J. Blanc, Finite
Abelian subgroups of the Cremona group of the plane, C.R. Acad. Sci. Paris,
S\'er. I 344 (2007), 21-26.] and some description of automorphisms of rational
surfaces.
  Given a finite Abelian subgroup of the Cremona group of the plane, we provide
a way to decide whether it is birationally conjugate to a group of
automorphisms of a minimal surface.
  In particular, we prove that a finite cyclic group of birational
transformations of the plane is linearisable if and only if none of its
non-trivial elements fix a curve of positive genus. For finite Abelian groups,
there exists only one surprising exception, a group isomorphic to Z/2ZxZ/4Z,
whose non-trivial elements do not fix a curve of positive genus but which is
not conjugate to a group of automorphisms of a minimal rational surface.
  We also give some descriptions of automorphisms (not necessarily of finite
order) of del Pezzo surfaces and conic bundles.


title:
Oriented growth of pentacene films on vacuum-deposited
  polytetrafluoroethylene layers aligned by rubbing technique

abstract:
  We investigated structure and morphology of PTFE layers deposited by vacuum
process in dependence on deposition parameters: deposition rate, deposition
temperature, electron activation energy and activation current. Pentacene (PnC)
layers deposited on top of those PTFE films are used as a tool to demonstrate
the orienting ability of the PTFE layers. The molecular structure of the PTFE
films was investigated by use of infrared spectroscopy. By means of
ellipsometry, values of refractive index between 1.33 and 1.36 have been
obtained for PTFE films in dependence on deposition conditions. Using the cold
friction technique orienting PTFE layers with unidirectional grooves are
obtained. On top of these PTFE films oriented PnC layers were grown. The
obtained order depends both on the PTFE layer thickness and on PnC growth
temperature.


title:
Integral representations for convolutions of non-central multivariate
  gamma distributions

abstract:
  Three types of integral representations for the cumulative distribution
functions of convolutions of non-central p-variate gamma distributions are
given by integration of elementary complex functions over the p-cube Cp =
(-pi,pi]x...x(-pi,pi]. In particular, the joint distribution of the diagonal
elements of a generalized quadratic form XAX' with n independent normally
distributed column vectors in X is obtained. For a single p-variate gamma
distribution function (p-1)-variate integrals over Cp-1 are derived. The
integrals are numerically more favourable than integrals obtained from the
Fourier or laplace inversion formula.


title:
On the Achievable Rate Regions for Interference Channels with Degraded
  Message Sets

abstract:
  The interference channel with degraded message sets (IC-DMS) refers to a
communication model in which two senders attempt to communicate with their
respective receivers simultaneously through a common medium, and one of the
senders has complete and a priori (non-causal) knowledge about the message
being transmitted by the other. A coding scheme that collectively has
advantages of cooperative coding, collaborative coding, and dirty paper coding,
is developed for such a channel. With resorting to this coding scheme,
achievable rate regions of the IC-DMS in both discrete memoryless and Gaussian
cases are derived, which, in general, include several previously known rate
regions. Numerical examples for the Gaussian case demonstrate that in the
high-interference-gain regime, the derived achievable rate regions offer
considerable improvements over these existing results.


title: On complete subsets of the cyclic group

abstract:
  A subset $X$ of an abelian $G$ is said to be {\em complete} if every element
of the subgroup generated by $X$ can be expressed as a nonempty sum of distinct
elements from $X$.
  Let $A\subset \Z_n$ be such that all the elements of $A$ are coprime with
$n$. Solving a conjecture of Erd\H{o}s and Heilbronn, Olson proved that
  $A$ is complete if $n$ is a prime and if $|A|>2\sqrt{n}.$
  Recently Vu proved that there is an absolute constant $c$, such that for an
arbitrary large $n$, $A$ is complete if $|A|\ge c\sqrt{n},$ and conjectured
that 2 is essentially the right value of $c$. We show that $A$ is complete if
$|A|> 1+2\sqrt{n-4}$, thus proving the last conjecture.


title:
Hilbert functions of points on Schubert varieties in Orthogonal
  Grassmannians

abstract:
  A solution is given to the following problem: how to compute the
multiplicity, or more generally the Hilbert function, at a point on a Schubert
variety in an orthogonal Grassmannian. Standard monomial theory is applied to
translate the problem from geometry to combinatorics. The solution of the
resulting combinatorial problem forms the bulk of the paper. This approach has
been followed earlier to solve the same problem for the Grassmannian and the
symplectic Grassmannian.
  As an application, we present an interpretation of the multiplicity as the
number of non-intersecting lattice paths of a certain kind.
  Taking the Schubert variety to be of a special kind and the point to be the
"identity coset," our problem specializes to a problem about Pfaffian ideals
treatments of which by different methods exist in the literature. Also
available in the literature is a geometric solution when the point is a
"generic singularity."


title:
Swift/XRT observes the fifth outburst of the periodic Supergiant Fast
  X-ray Transient IGR J11215-5952

abstract:
  IGR J11215-5952 is a hard X-ray transient source discovered in April 2005
with INTEGRAL and a confirmed member of the new class of High Mass X-ray
Binaries, the Supergiant Fast X-ray Transients (SFXTs). Archival INTEGRAL data
and RXTE observations showed that the outbursts occur with a periodicity of
~330 days. Thus, IGR J11215-5952 is the first SFXT displaying periodic
outbursts, possibly related to the orbital period. We performed a Target of
Opportunity observation with Swift with the main aim of monitoring the source
behaviour around the time of the fifth outburst, expected on 2007 Feb 9. The
source field was observed with Swift twice a day (2ks/day) starting from 4th
February, 2007, until the fifth outburst, and then for ~5 ks a day afterwards,
during a monitoring campaign that lasted 23 days for a total on-source exposure
of ~73 ks. This is the most complete monitoring campaign of an outburst from a
SFXT. The spectrum during the brightest flares is well described by an absorbed
power law with a photon index of 1 and N_H~1 10^22 cm^-2. A 1-10 keV peak
luminosity of ~10^36 erg s^-1 was derived (assuming 6.2 kpc, the distance of
the optical counterpart). These Swift observations are a unique data-set for an
outburst of a SFXT, thanks to the combination of sensitivity and time coverage,
and they allowed a study of IGR J11215-5952 from outburst onset to almost
quiescence. We find that the accretion phase lasts longer than previously
thought on the basis of lower sensitivity instruments observing only the
brightest flares. The observed phenomenology is consistent with a smoothly
increasing flux triggered at the periastron passage in a wide eccentric orbit
with many flares superimposed, possibly due to episodic or inhomogeneous
accretion.


title: Crossover behavior in fluids with Coulomb interactions

abstract:
  According to extensive experimental findings, the Ginzburg temperature
$t_{G}$ for ionic fluids differs substantially from that of nonionic fluids
[Schr\"oer W., Weig\"{a}rtner H. 2004 {\it Pure Appl. Chem.} {\bf 76} 19]. A
theoretical investigation of this outcome is proposed here by a mean field
analysis of the interplay of short and long range interactions on the value of
$t_{G}$. We consider a quite general continuous charge-asymmetric model made of
charged hard spheres with additional short-range interactions (without
electrostatic interactions the model belongs to the same universality class as
the 3D Ising model). The effective Landau-Ginzburg Hamiltonian of the full
system near its gas-liquid critical point is derived from which the Ginzburg
temperature is calculated as a function of the ionicity. The results obtained
in this way for $t_{G}$ are in good qualitative and sufficient quantitative
agreement with available experimental data.


title: Reply to Comment of Kenzelmann and Harris

abstract:
  In response to the comment of Kenzelmann and Harris I show how the continuum
theory of spiral multiferroics can be modified to describe general magnetic
orders and discuss why the microscopic mechanism of magnetically-induced
ferroelectricity usually makes such modifications unnecessary. This explains
why the simple model with a single vector order parameter successfully
describes thermodynamics and magnetoelectric properties of many spiral
multiferroics.


title: Persistent Currents in Superconducting Quantum Interference Devices

abstract:
  Starting from the reduced dynamical model of a two-junction quantum
interference device, a quantum analog of the system has been exhibited, in
order to extend the well known properties of this device to the quantum regime.
By finding eigenvalues of the corresponding Hamiltonian operator, the
persistent currents flowing in the ring have been obtained. The resulting
quantum analog of the overdamped two-junction quantum interference device can
be seen as a supercurrent qubit operating in the limit of negligible
capacitance and finite inductance.


title:
Mid-Infrared Fine Structure Line Ratios in Active Galactic Nuclei
  Observed with Spitzer IRS: Evidence for Extinction by the Torus

abstract:
  We present the first systematic investigation of the [NeV] (14um/24um) and
[SIII] (18um/33um) infrared line flux ratios, traditionally used to estimate
the density of the ionized gas, in a sample of 41 Type 1 and Type 2 active
galactic nuclei (AGNs) observed with the Infrared Spectrograph on board
Spitzer. The majority of galaxies with both [NeV] lines detected have observed
[NeV] line flux ratios consistent with or below the theoretical low density
limit, based on calculations using currently available collision strengths and
ignoring absorption and stimulated emission. We find that Type 2 AGNs have
lower line flux ratios than Type 1 AGNs and that all of the galaxies with line
flux ratios below the low density limit are Type 2 AGNs. We argue that
differential infrared extinction to the [NeV] emitting region due to dust in
the obscuring torus is responsible for the ratios below the low density limit
and we suggest that the ratio may be a tracer of the inclination angle of the
torus to our line of sight. Because the temperature of the gas, the amount of
extinction, and the effect of absorption and stimulated emission on the line
ratios are all unknown, we are not able to determine the electron densities
associated with the [NeV] line flux ratios for the objects in our sample. We
also find that the [SIII] emission from the galaxies in our sample is extended
and originates primarily in star forming regions. Since the emission from
low-ionization species is extended, any analysis using line flux ratios from
such species obtained from slits of different sizes is invalid for most nearby
galaxies.


title: Neutrinos and Non-proliferation in Europe

abstract:
  Triggered by the demand of the IAEA, neutrino physicists in Europe involved
with the Double Chooz experiment are studying the potential of neutrino
detection to monitor nuclear reactors. In particular a new set of experiments
at the ILL is planned to improve the knowledge of the neutrino spectrum emitted
in the fission of 235U and 239Pu.


title: Kinks and Particles in Non-integrable Quantum Field Theories

abstract:
  In this talk we discuss an elementary derivation of the semi-classical
spectrum of neutral particles in two field theories with kink excitations. We
also show that, in the non-integrable cases, each vacuum state cannot
generically support more than two stable particles, since all other neutral
exitations are resonances, which will eventually decay.


title: The old open clusters Berkeley 32 and King 11

abstract:
  We have obtained CCD BVI imaging of the old open clusters Berkeley 32 and
King 11. Using the synthetic colour-magnitude diagram method with three
different sets of stellar evolution models of various metallicities, with and
without overshooting, we have determined their age, distance, reddening, and
indicative metallicity, as well as distance from the Galactic centre and height
from the Galactic plane. The best parameters derived for Berkeley 32 are:
subsolar metallicity (Z=0.008 represents the best choice, Z=0.006 or 0.01 are
more marginally acceptable), age = 5.0-5.5 Gyr (models with overshooting;
without overshooting the age is 4.2-4.4 Gyr with poorer agreement),
(m-M)_0=12.4-12.6, E(B-V)=0.12-0.18 (with the lower value being more probable
because it corresponds to the best metallicity), Rgc ~ 10.7-11 kpc, and |Z| ~
231-254 pc. The best parameters for King 11 are: Z=0.01, age=3.5-4.75 Gyr,
(m-M)_0=11.67-11.75, E(B-V)=1.03-1.06, Rgc ~ 9.2-10 kpc, and |Z| ~ 253-387 pc.


title: The Genetic Programming Collaboration Network and its Communities

abstract:
  Useful information about scientific collaboration structures and patterns can
be inferred from computer databases of published papers. The genetic
programming bibliography is the most complete reference of papers on GP\@. In
addition to locating publications, it contains coauthor and coeditor
relationships from which a more complete picture of the field emerges. We treat
these relationships as undirected small world graphs whose study reveals the
community structure of the GP collaborative social network. Automatic analysis
discovers new communities and highlights new facets of them. The investigation
reveals many similarities between GP and coauthorship networks in other
scientific fields but also some subtle differences such as a smaller central
network component and a high clustering.


title: The Expanding Photosphere Method: Progress and Problems

abstract:
  Distances to well-observed Type II-P SNe are determined from an updated
version of the Expanding Photosphere Method (EPM), based on recent theoretical
models. The new EPM distances show good agreement with other independent
distances to the host galaxies without any significant systematic bias,
contrary to earlier results in the literature. The accuracy of the method is
comparable with that of the distance measurements for Type Ia SNe.


title:
Spontaneous Lorentz Violation: Non-Abelian Gauge Fields as
  Pseudo-Goldstone Vector Bosons

abstract:
  We argue that non-Abelian gauge fields can be treated as the pseudo-Goldstone
vector bosons caused by spontaneous Lorentz invariance violation (SLIV). To
this end, the SLIV which evolves in a general Yang-Mills type theory with the
nonlinear vector field constraint $Tr(% \boldsymbol{A}_{\mu
}\boldsymbol{A}^{\mu})=\pm M^{2}$ ($M$ is a proposed SLIV scale) imposed is
considered in detail. With an internal symmetry group $G$ having $D$ generators
not only the pure Lorentz symmetry SO(1,3), but the larger accidental symmetry
$SO(D,3D)$ of the SLIV constraint in itself appears to be spontaneously broken
as well. As a result, while the pure Lorentz violation still generates only one
genuine Goldstone vector boson, the accompanying pseudo-Goldstone vector bosons
related to the $SO(D,3D)$ breaking also come into play in the final arrangement
of the entire Goldstone vector field multiplet. Remarkably, they remain
strictly massless, being protected by gauge invariance of the Yang-Mills theory
involved. We show that, although this theory contains a plethora of Lorentz and
$CPT$ violating couplings, they do not lead to physical SLIV effects which turn
out to be strictly cancelled in all the lowest order processes considered.
However, the physical Lorentz violation could appear if the internal gauge
invariance were slightly broken at very small distances influenced by gravity.
For the SLIV scale comparable with the Planck one the Lorentz violation could
become directly observable at low energies.


title: In-medium effects on particle production in heavy ion collisions

abstract:
  The effect of possible in-medium modifications of nucleon-nucleon ($NN$)
cross sections on particle production is investigated in heavy ion collisions
($HIC$) at intermediate energies. In particular, using a fully covariant
relativistic transport approach, we see that the density dependence of the {\it
inelastic} cross sections appreciably affects the pion and kaon yields and
their rapidity distributions. However, the $(\pi^{-}/\pi^{+})$- and
$(K^{0}/K^{+})$-ratios depend only moderately on the in-medium behavior of the
inelastic cross sections. This is particularly true for kaon yield ratios,
since kaons are more uniformly produced in high density regions. Kaon
potentials are also suitably evaluated in two schemes, a chiral perturbative
approach and an effective meson-quark coupling method, with consistent results
showing a similar repulsive contribution for $K^{+}$ and $K^{0}$. As a
consequence we expect rather reduced effects on the yield ratios. We conclude
that particle ratios appear to be robust observables for probing the nuclear
equation of state ($EoS$) at high baryon density and, particularly, its
isovector sector.


title: The Graham conjecture implies the Erdos-Turan conjecture

abstract:
  Erd\"{o}s and Tur\'{a}n once conjectured that any set $A\subset\mathbb{N}$
with $\sum_{a\in A}{1}/{a}=\infty$ should contain infinitely many progressions
of arbitrary length $k\geq3$. For the two-dimensional case Graham conjectured
that if $B\subset \mathbb{N}\times\mathbb{N}$ satisfies $$\sum\limits_{(x,y)\in
B}\frac{1}{x^2+y^2}=\infty,$$ then for any $s\geq2$, $B$ contains an $s\times
s$ axes-parallel grid. In this paper it is shown that if the Graham conjecture
is true for some $s\geq2$, then the Erd\"{o}s-Tur\'{a}n conjecture is true for
$k=2s-1$.


title:
Effective conservation of energy and momentum algorithm using switching
  potentials suitable for molecular dynamics simulation of thermodynamical
  systems

abstract:
  During a crossover via a switching mechanism from one 2-body potential to
another as might be applied in modeling (chemical) reactions in the vicinity of
bond formation, energy violations would occur due to finite step size which
determines the trajectory of the particles relative to the potential
interactions of the unbonded state by numerical (e.g. Verlet) integration. This
problem is overcome by an algorithm which preserves the coordinates of the
system for each move, but corrects for energy discrepancies by ensuring both
energy and momentum conservation in the dynamics. The algorithm is tested for a
hysteresis loop reaction model with an without the implementation of the
algorithm. The tests involve checking the rate of energy flow out of the MD
simulation box; in the equilibrium state, no net rate of flows within
experimental error should be observed. The temperature and pressure of the box
should also be invariant within the range of fluctuation of these quantities.
It is demonstrated that the algorithm satisfies these criteria.


title: Mixed chemistry phenomenon during late stages of stellar evolution

abstract:
  We discuss phenomenon of simultaneous presence of O- and C-based material in
surroundings of evolutionary advanced stars. We concentrate on silicate carbon
stars and present observations that directly confirm the binary model scenario
for them. We discuss also class of C-stars with OH emission detected, to which
some [WR] planetary nebulae do belong.


title: M-regularity of the Fano surface

abstract:
  Let $(A,\Theta)$ be a principally polarised abelian variety, and let Y be a
subvariety. Pareschi and Popa conjectured that Y has minimal cohomology class
if and only if the structure sheaf of Y satisfies a property that they call
M-regularity.
  Let now X be a smooth cubic threefold. By a classical result due to Clemens
and Griffiths, its intermediate Jacobian J(X) is a principally polarised
abelian variety; furthermore the Fano surface of lines on X can be embedded in
J(X) and has minimal cohomology class. In this short note we show that its
structure sheaf is M-regular.


title:
Signal for space-time noncommutativity: the Z -> gamma gamma decay in
  the renormalizable gauge sector of the theta-expanded NCSM

abstract:
  We propose the Z -> gamma gamma decay, a process strictly forbidden in the
standard model, as a signal suitable for the search of noncommutativity of
coordinates at very short distances. We compute the Z -> gamma gamma partial
widthin the framework of the recently proposed renormalizable gauge sector of
the noncommutative standard model. The one-loop renormalizability is obtained
for the model containing the usual six representations of matter fields of the
first generation. Even more, the noncommutative part is finite or free of
divergences, showing that perhaps new interaction symmetry exists in the
noncommutative gauge sector of the model. Discovery of such symmetry would be
of tremendous importance in further search for the violation of the Lorentz
invariance at very high energies. Experimental possibilities of Z -> gamma
gamma decay are analyzed and a firm bound to the scale of the noncommutativity
parameter is set around 1 TeV.


title:
Laser spectroscopy of hyperfine structure in highly-charged ions: a test
  of QED at high fields

abstract:
  An overview is presented of laser spectroscopy experiments with cold,
trapped, highly-charged ions, which will be performed at the HITRAP facility at
GSI in Darmstadt (Germany). These high-resolution measurements of ground state
hyperfine splittings will be three orders of magnitude more precise than
previous measurements. Moreover, from a comparison of measurements of the
hyperfine splittings in hydrogen- and lithium-like ions of the same isotope,
QED effects at high electromagnetic fields can be determined within a few
percent. Several candidate ions suited for these laser spectroscopy studies are
presented.


title:
Confinement into a state with persistent current by thermal quenching of
  loop of Josephson junctions

abstract:
  We study a loop of Josephson junctions that is quenched through its critical
temperature. For three or more junctions, symmetry breaking states can be
achieved without thermal activation, in spite of the fact that the relaxation
time is practically constant when the critical temperature is approached from
above. The probability for these states decreases with quenching time, but the
dependence is not allometric. For large number of junctions, cooling does not
have to be fast. For this case, we evaluate the standard deviation of the
induced flux. Our results are consistent with the available experimental data.


title: Frequency modulation Fourier transform spectroscopy

abstract:
  A new method, FM-FTS, combining Frequency Modulation heterodyne laser
spectroscopy and Fourier Transform Spectroscopy is presented. It provides
simultaneous sensitive measurement of absorption and dispersion profiles with
broadband spectral coverage capabilities. Experimental demonstration is made on
the overtone spectrum of C2H2 in the 1.5 $\mu$m region.


title: Universe Without Singularities. A Group Approach to De Sitter Cosmology

abstract:
  In the last years the traditional scenario of Big Bang has been deeply
modified by the study of the quantum features of the Universe evolution,
proposing again the problem of using local physical laws on cosmic scale, with
particular regard to the cosmological constant role. The group extention method
shows that the De Sitter group univocally generalizes the Poincare group,
formally justifies the cosmological constant use and suggests a new
interpretation for Hartle-Hawking boundary conditions in Quantum Cosmology.


title: Spectral action on noncommutative torus

abstract:
  The spectral action on noncommutative torus is obtained, using a
Chamseddine--Connes formula via computations of zeta functions. The importance
of a Diophantine condition is outlined. Several results on holomorphic
continuation of series of holomorphic functions are obtained in this context.


title: The Lifshitz-Slyozov-Wagner equation for reaction-controlled kinetics

abstract:
  We rigorously derive a weak form of the Lifshitz-Slyozov-Wagner equation as
the homogenization limit of a Stefan-type problem describing
reaction-controlled coarsening of a large number of small spherical particles.
Moreover, we deduce that the effective mean-field description holds true in the
particular limit of vanishing surface-area density of particles.


title: Canonical singular hermitian metrics on relative canonical bundles

abstract:
  We introduce a new class of canonical AZD's (called the supercanonical AZD's)
on the canonical bundles of smooth projective varieties with pseudoeffective
canonical classes. We study the variation of the supercanonical AZD
$\hat{h}_{can}$ under projective deformations and give a new proof of the
invariance of plurigenera.


title:
Yield Curve Shapes and the Asymptotic Short Rate Distribution in Affine
  One-Factor Models

abstract:
  We consider a model for interest rates, where the short rate is given by a
time-homogenous, one-dimensional affine process in the sense of Duffie,
Filipovic and Schachermayer. We show that in such a model yield curves can only
be normal, inverse or humped (i.e. endowed with a single local maximum). Each
case can be characterized by simple conditions on the present short rate. We
give conditions under which the short rate process will converge to a limit
distribution and describe the limit distribution in terms of its cumulant
generating function. We apply our results to the Vasicek model, the CIR model,
a CIR model with added jumps and a model of Ornstein-Uhlenbeck type.


title:
Thermally Stimulated Luminescence and Current in new heterocyclic
  materials for Organic field transistors and organic light emitting diodes

abstract:
  The present work is focused on theoretical and experimental study of
localised levels in organic materials suitable for light-emitting devices and
field effect transistors by means of thermal techniques. In our work we focused
on low molecular compounds as well as on polymers, especially of two classes of
materials: oxadiazoles and quinoxalines. Both organic compounds are well know
as electron transport materials in OLEDs.