title:
The variable mass loss of the AGB star WX Psc as traced by the CO J=1-0
  through 7-6 lines and the dust emission

abstract:
  Low and intermediate mass stars lose a significant fraction of their mass
through a dust-driven wind during the Asymptotic Giant Branch (AGB) phase.
Recent studies show that winds from late-type stars are far from being smooth.
Mass-loss variations occur on different time scales, from years to tens of
thousands of years. The variations appear to be particularly prominent towards
the end of the AGB evolution. The occurrence, amplitude and time scale of these
variations are still not well understood.
  The goal of our study is to gain insight into the structure of the
circumstellar envelope (CSE) of WX Psc and map the possible variability of the
late-AGB mass-loss phenomenon.
  We have performed an in-depth analysis of the extreme infrared AGB star WX
Psc by modeling (1) the CO J=1-0 through 7-6 rotational line profiles and the
full spectral energy distribution (SED) ranging from 0.7 to 1300 micron. We
hence are able to trace a geometrically extended region of the CSE.
  Both mass-loss diagnostics bear evidence of the occurrence of mass-loss
modulations during the last ~2000 yr. In particular, WX Psc went through a high
mass-loss phase (Mdot~5e-5 Msun/yr) some 800 yr ago. This phase lasted about
600 yr and was followed by a long period of low mass loss (Mdot~5e-8 Msun/yr).
The present day mass-loss rate is estimated to be ~6e-6 Msun/yr.
  The AGB star WX Psc has undergone strong mass-loss rate variability on a time
scale of several hundred years during the last few thousand years. These
variations are traced in the strength and profile of the CO rotational lines
and in the SED. We have consistently simulated the behaviour of both tracers
using radiative transfer codes that allow for non-constant mass-loss rates.


title: Polynomial identities and noncommutative versal torsors

abstract:
  To any cleft Hopf Galois object, i.e., any algebra H[t] obtained from a Hopf
algebra H by twisting its multiplication with a two-cocycle t, we attach two
"universal algebras" A(H,t) and U(H,t). The algebra A(H,t) is obtained by
twisting the multiplication of H with the most general two-cocycle u formally
cohomologous to t. The cocycle u takes values in the field of rational
functions on H. By construction, A(H,t) is a cleft H-Galois extension of a
"big" commutative algebra B(H,t). Any "form" of H[t] can be obtained from
A(H,t) by a specialization of B(H,t) and vice versa. If the algebra H[t] is
simple, then A(H,t) is an Azumaya algebra with center B(H,t). The algebra
U(H,t) is constructed using a general theory of polynomial identities that we
set up for arbitrary comodule algebras; it is the universal comodule algebra in
which all comodule algebra identities of H[t] are satisfied. We construct an
embedding of U(H,t) into A(H,t); this embedding maps the center Z(H,t) of
U(H,t) into B(H,t) when the algebra H[t] is simple. In this case, under an
additional assumption, A(H,t) is isomorphic to B(H,t) \otimes_{Z(H,t)} U(H,t),
thus turning A(H,t) into a central localization of U(H,t). We work out these
constructions in full detail for the four-dimensional Sweedler algebra.


title:
Finite temperature quantum field theory on non compact domains and
  application to delta interactionsinteractions in three dimensions

abstract:
  We use relative zeta functions technique of W. Muller \cite{Mul} to extend
the classical decomposition of the zeta regularized partition function of a
finite temperature quantum field theory on a ultrastatic space-time with
compact spatial section to the case of non compact spatial section. As an
application, we study the case of Schr\"odinger operators with delta like
potential, as described by Albeverio & alt. in \cite{AGHH}.


title:
The effect of a planet on the dust distribution in a 3D protoplanetary
  disk

abstract:
  Aims: We investigate the behaviour of dust in protoplanetary disks under the
action of gas drag in the presence of a planet. Our goal is twofold: to
determine the spatial distribution of dust depending on grain size and planet
mass, and therefore to provide a framework for interpretation of coming
observations and future studies of planetesimal growth. Method: We numerically
model the evolution of dust in a protoplanetary disk using a two-fluid (gas +
dust) Smoothed Particle Hydrodynamics (SPH) code, which is non-self-gravitating
and locally isothermal. The code follows the three dimensional distribution of
dust in a protoplanetary disk as it interacts with the gas via aerodynamic
drag. In this work, we present the evolution of a minimum mass solar nebula
(MMSN) disk comprising 1% dust by mass in the presence of an embedded planet.
We run a series of simulations which vary the grain size and planetary mass to
see how they affect the resulting disk structure. Results: We find that gap
formation is much more rapid and striking in the dust layer than in the gaseous
disk and that a system with a given stellar, disk and planetary mass will have
a completely different appearance depending on the grain size. For low mass
planets in our MMSN disk, a gap can open in the dust disk while not in the gas
disk. We also note that dust accumulates at the external edge of the planetary
gap and speculate that the presence of a planet in the disk may enhance the
formation of a second planet by facilitating the growth of planetesimals in
this high density region.


title:
Full Spectrum Diffused and Beamed Solar Energy Application Using Optical
  Fibre

abstract:
  Existing solar energy application systems use small fraction of full spectrum
of solar energy. So attempts are made to show how full spectrum solar energy
can be used for diffused and beamed form of incident solar energy. Luminescent
Solar Concentrator (LSC) principle with optical fibre in diffused sun light and
dielectric mirror separation technique with optical fibre in beamed form are
discussed. Comparison of both the cases are done.
  Keywords: full spectrum, solar photonics, diffused solar energy, beamed solar
energy, LSC, dielectric mirror, optical fibre, Photo-Voltaic


title: Phase coherence and extreme self phase modulation

abstract:
  I study how pulse to pulse phase coherence in a pulse train can survive
super-broadening by extreme self phase modulation (SPM). Such pulse trains have
been used in phase self-stabilizing schemes as an alternative to using a
feedback process. However, such super-broadened pulses have undergone
considerable distortion, and it is far from obvious that they necessarily
retain any useful phase information. I propose measures of phase coherence
(i.e. supercontinuum coherence) applicable to such pulse trains, and use them
to analyze numerical simulations comparable to self-stabilization experiments.


title:
Conoscopic Patterns for Optically Uniaxial Gyrotropic Crystals in the
  Vicinity of Isotropic Point

abstract:
  We have presented computer simulations of conoscopic patterns occurring in
optically uniaxial gyrotropic crystals in the vicinity of isotropic point for a
number of sets of crystal parameters and orientations. The appearance of
special directions characterized by equalization of linear and circular
birefringences has been revealed.


title:
Group theoretical construction of mutually unbiased bases in Hilbert
  spaces of prime dimensions

abstract:
  Mutually unbiased bases in Hilbert spaces of finite dimensions are closely
related to the quantal notion of complementarity. An alternative proof of
existence of a maximal collection of N+1 mutually unbiased bases in Hilbert
spaces of prime dimension N is given by exploiting the finite Heisenberg group
(also called the Pauli group) and the action of SL(2,Z_N) on finite phase space
Z_N x Z_N implemented by unitary operators in the Hilbert space. Crucial for
the proof is that, for prime N, Z_N is also a finite field.


title: Thermal and Chemical Freeze-out in Spectator Fragmentation

abstract:
  Isotope temperatures from double ratios of hydrogen, helium, lithium,
beryllium, and carbon isotopic yields, and excited-state temperatures from
yield ratios of particle-unstable resonances in 4He, 5Li, and 8Be, were
determined for spectator fragmentation, following collisions of 197Au with
targets ranging from C to Au at incident energies of 600 and 1000 MeV per
nucleon. A deviation of the isotopic from the excited-state temperatures is
observed which coincides with the transition from residue formation to
multi-fragment production, suggesting a chemical freeze-out prior to thermal
freeze-out in bulk disintegrations.


title: Dynamical SUSY Breaking in Intersecting Brane Models

abstract:
  We present a simple mechanism by which supersymmetry can be dynamically
broken in intersecting brane models, naturally generating an exponentially
small scale. Rather than utilize either non-Abelian gauge dynamics or
D-instantons, our mechanism uses worldsheet instantons to generate the small
scale in a hidden sector.


title:
Quadratic operators used in deducing exact ground states for correlated
  systems: ferromagnetism at half filling provided by a dispersive band

abstract:
  Quadratic operators are used in transforming the model Hamiltonian (H) of one
correlated and dispersive band in an unique positive semidefinite form coopting
both the kinetic and interacting part of H. The expression is used in deducing
exact ground states which are minimum energy eigenstates only of the full
Hamiltonian. It is shown in this frame that at half filling, also dispersive
bands can provide ferromagnetism in exact terms by correlation effects .


title: Transformation of Morphology and Luminosity Classes of the SDSS Galaxies

abstract:
  We present a unified picture on the evolution of galaxy luminosity and
morphology. Galaxy morphology is found to depend critically on the local
environment set up by the nearest neighbor galaxy in addition to luminosity and
the large scale density. When a galaxy is located farther than the virial
radius from its closest neighbor, the probability for the galaxy to have an
early morphological type is an increasing function only of luminosity and the
local density due to the nearest neighbor ($\rho_n$). The tide produced by the
nearest neighbor is thought to be responsible for the morphology transformation
toward the early type at these separations. When the separation is less than
the virial radius, i.e. when $\rho_n > \rho_{\rm virial}$, its morphology
depends also on the neighbor's morphology and the large-scale background
density over a few Mpc scales ($\rho_{20}$) in addition to luminosity and
$\rho_n$. The early type probability keeps increasing as $\rho_n$ increases if
its neighbor is an early type. But the probability decreases as $\rho_n$
increases when the neighbor is a late type. The cold gas streaming from the
late type neighbor can be the reason for the morphology transformation toward
late type. The overall early-type fraction increases as $\rho_{20}$ increases
when $\rho_n > \rho_{\rm virial}$. This can be attributed to the hot halo gas
of the neighbor which is confined by the pressure of the ambient medium held by
the background mass. We have also found that galaxy luminosity depends on
$\rho_n$, and that the isolated bright galaxies are more likely to be recent
merger products. We propose a scenario that a series of morphology and
luminosity transformation occur through distant interactions and mergers, which
results in the morphology--luminosity--local density relation.


title: The early spectral evolution of SN 2004dt

abstract:
  Aims. We study the optical spectroscopic properties of Type Ia Supernova (SN
Ia) 2004dt, focusing our attention on the early epochs.
  Methods. Observation triggered soon after the SN 2004dt discovery allowed us
to obtain a spectrophotometric coverage from day -10 to almost one year (~353
days) after the B band maximum. Observations carried out on an almost daily
basis allowed us a good sampling of the fast spectroscopic evolution of SN
2004dt in the early stages. To obtain this result, low-resolution, long-slit
spectroscopy was obtained using a number of facilities.
  Results. This supernova, which in some absorption lines of its early spectra
showed the highest degree of polarization ever measured in any SN Ia, has a
complex velocity structure in the outer layers of its ejecta. Unburnt oxygen is
present, moving at velocities as high as ~16,700 km/s, with some
intermediate-mass elements (Mg, Si, Ca) moving equally fast. Modeling of the
spectra based on standard density profiles of the ejecta fails to reproduce the
observed features, whereas enhancing the density of outer layers significantly
improves the fit. Our analysis indicates the presence of clumps of
high-velocity, intermediate-mass elements in the outermost layers, which is
also suggested by the spectropolarimetric data.


title:
Theoretical model atmosphere spectra used for the calibration of
  infrared instruments

abstract:
  One of the key ingredients in establishing the relation between input signal
and output flux from a spectrometer is accurate determination of the
spectrophotometric calibration. In the case of spectrometers onboard
satellites, the accuracy of this part of the calibration pedigree is ultimately
linked to the accuracy of the set of reference SEDs that the spectrophotometric
calibration is built on. In this paper, we deal with the spectrophotometric
calibration of infrared (IR) spectrometers onboard satellites in the 2 to 200
micron range. We aim at comparing the different reference SEDs used for the IR
spectrophotometric calibration. The emphasis is on the reference SEDs of
stellar standards with spectral type later than A0, with special focus on the
theoretical model atmosphere spectra. Using the MARCS model atmosphere code,
spectral reference SEDs were constructed for a set of IR stellar standards (A
dwarfs, solar analogs, G9-M0 giants). A detailed error analysis was performed
to estimate proper uncertainties on the predicted flux values. It is shown that
the uncertainty on the predicted fluxes can be as high as 10%, but in case
high-resolution observational optical or near-IR data are available, and IR
excess can be excluded, the uncertainty on medium-resolution SEDs can be
reduced to 1-2% in the near-IR, to ~3% in the mid-IR, and to ~5% in the far-IR.
Moreover, it is argued that theoretical stellar atmosphere spectra are at the
moment the best representations for the IR fluxes of cool stellar standards.
When aiming at a determination of the spectrophotometric calibration of IR
spectrometers better than 3%, effort should be put into constructing an
appropriate set of stellar reference SEDs based on theoretical atmosphere
spectra for some 15 standard stars with spectral types between A0V and M0III.


title:
Estimates for parameters and characteristics of the confining
  SU(3)-gluonic field in \pi^0-meson from one- and two-photon decays

abstract:
  On the basis of the confinement mechanism earlier proposed by author the
electric formfactor of $\pi^0$-meson is nonperturbatively calculated. The
latter is then applied to describing electromagnetic decays $\pi^0\to2\gamma$
and $\pi^0\to e^+e^-\gamma$ which entails estimates for parameters of the
confining SU(3)-gluonic field in $\pi^0$-meson. The corresponding estimates of
the gluon concentrations, electric and magnetic colour field strengths are also
adduced for the mentioned field.


title: On the stability of the triangular libration points: exact results

abstract: This paper has been withdrawn by the author, due to necessity of revision.


title: Precision calculations for H -> WW/ZZ -> 4fermions with PROPHECY4f

abstract:
  PROPHECY4f is a Monte Carlo event generator for precise simulations of the
Higgs-boson decay H -> WW/ZZ -> 4fermions, supporting leptonic, semileptonic,
and four-quark final states. Both electroweak and QCD corrections are included.
Treating the intermediate gauge bosons as resonances, the calculation covers
the full Higgs-boson mass range above, near, and below the gauge-boson pair
thresholds. In this article we pay particular attention to the recently
implemented option of PROPHECY4f to generate unweighted events.


title: Shell Effects in the First Sound Velocity of an Ultracold Fermi Gas

abstract:
  We investigate the first sound of a normal dilute and ultracold two-component
Fermi gas in a harmonic microtube, i.e. a cylinder with harmonic transverse
radial confinement in the length-scale of microns. We show that the velocity of
the sound that propagates along the axial direction strongly depends on the
dimensionality of the system. In particular, we predict that the first-sound
velocity display shell effects: by increasing the density, that is by inducing
the crossover from one-dimension to three-dimensions, the first-sound velocity
shows jumps in correspondence with the filling of harmonic modes. The
experimental achievability of these effects is discussed by considering 40K
atoms.


title:
Comparing cosmic shear measures - Optimizing the Information content of
  cosmic shear data vectors

abstract:
  We introduce an optimized data vector of cosmic shear measures (N). This data
vector has high information content, is not sensitive against B-mode
contamination and only shows small correlation between data points of different
angular scales. We show that a data vector of the two-point correlation
function (2PCF) in general contains more information on cosmological parameters
compared to a data vector of the aperture mass dispersion. Reason for this is
the fact that <M_ap^2> lacks the information of the convergence power spectrum
(P_\kappa) on large angular scales, which is contained in the 2PCF data vector.
Therefore we create a combined data vector N, which retains the advantages of
<M_ap^2> and in addition is also sensitive to the large-scale information of
P_\kappa. We compare the information content of the three data vectors by
performing a detailed likelihood analysis and use ray-tracing simulations to
derive the covariance matrices. In the last part of the paper we contaminate
all data vectors with B-modes on small angular scales and examine their
robustness against this contamination.The combined data vector strongly
improves constraints on cosmological parameters compared to <M_ap^2>. Although,
in case of a pure E-mode signal the information content of the 2PCF is higher,
in the more realistic case where B-modes are present the 2PCF data vector is
strongly contaminated and yields biased cosmological parameter estimates. N
shows to be robust against this contamination. Furthermore the individual data
points of N show a much smaller correlation compared to the 2PCF leading to an
almost diagonal covariance matrix.


title: Diffractive parton distributions: the role of the perturbative Pomeron

abstract:
  We consider the role of the perturbative Pomeron-to-parton splitting in the
formation of the diffractive parton distributions.


title:
The Dirichlet Casimir effect for $\phi^4$ theory in (3+1) dimensions: A
  new renormalization approach

abstract:
  We calculate the next to the leading order Casimir effect for a real scalar
field, within $\phi^4$ theory, confined between two parallel plates in three
spatial dimensions with the Dirichlet boundary condition. In this paper we
introduce a systematic perturbation expansion in which the counterterms
automatically turn out to be consistent with the boundary conditions. This will
inevitably lead to nontrivial position dependence for physical quantities, as a
manifestation of the breaking of the translational invariance. This is in
contrast to the usual usage of the counterterms in problems with nontrivial
boundary conditions, which are either completely derived from the free cases or
at most supplemented with the addition of counterterms only at the boundaries.
Our results for the massive and massless cases are different from those
reported elsewhere. Secondly, and probably less importantly, we use a
supplementary renormalization procedure, which makes the usage of any analytic
continuation techniques unnecessary.


title:
On radio emission of the Geminga pulsar and RBS 1223 at the frequency of
  111 MHz

abstract:
  I have searched for pulsed radio emission from the Geminga pulsar and for the
nearby isolated neutron star 1RX J1308.6+2127 (RBS 1223) at the frequency of
111 MHz. No pulsed signals were detected from these sources. Upper limits for
mean flux density are 0.4 - 4 mJy for the Geminga pulsar and 1.5 - 15 mJy for
RBS 1223 depending on assumed duty cycle (.05 - .5) of the pulsars.


title:
Lattice Supersymmetry: Equivalence between the Link Approach and
  Orbifolding

abstract:
  We examine the relation between supersymmetric lattice gauge theories
constructed by the link approach and by orbifolding and show that they are
equivalent. We discuss the number of preserved supersymmetries.


title:
Electrically and magnetically induced optical rotation in Pb5Ge3O11:Cr
  crystals at the phase transition. 1. Electrogyration effect in Pb5Ge3O11:Cr

abstract:
  We present the results of studies for temperature dependences of
electrogyration (EG) effect and natural optical activity in Pb5Ge3O11:Cr
crystals. Extremely high magnitude of EG coefficient is found for these
crystals. We also demonstrate how the Curie-Weiss constant, the critical
exponents of the order parameter and the dielectric permittivity, as well as
the coefficients of thermodynamic potential, could be derived from the
temperature dependences of optical activity and EG coefficient.


title: Full Bayesian analysis for a class of jump-diffusion models

abstract:
  A new Bayesian significance test is adjusted for jump detection in a
diffusion process. This is an advantageous procedure for temporal data having
extreme valued outliers, like financial data, pluvial or tectonic forces
records and others.


title: Exploring spatial nonlinearity using additive approximation

abstract:
  We propose to approximate the conditional expectation of a spatial random
variable given its nearest-neighbour observations by an additive function. The
setting is meaningful in practice and requires no unilateral ordering. It is
capable of catching nonlinear features in spatial data and exploring local
dependence structures. Our approach is different from both Markov field methods
and disjunctive kriging. The asymptotic properties of the additive estimators
have been established for $\alpha$-mixing spatial processes by extending the
theory of the backfitting procedure to the spatial case. This facilitates the
confidence intervals for the component functions, although the asymptotic
biases have to be estimated via (wild) bootstrap. Simulation results are
reported. Applications to real data illustrate that the improvement in
describing the data over the auto-normal scheme is significant when
nonlinearity or non-Gaussianity is pronounced.


title:
Some doubts on the validity of the foreground Galactic contribution
  subtraction from microwave anisotropies

abstract:
  The Galactic foreground contamination in CMBR anisotropies, especially from
the dust component, is not easily separable from the cosmological or
extragalactic component. In this paper, some doubts will be raised concerning
the validity of the methods used to date to remove Galactic dust emission in
order to show that none of them achieves its goal.
  First, I review the recent bibliography on the topic and discuss critically
the methods of foreground subtraction: the cross-correlation with templates,
analysis assuming the spectral shape of the Galactic components, the "maximum
entropy method", "internal linear combination", and "wavelet-based high
resolution fitting of internal templates". Second, I analyse the galactic
latitude dependence from WMAP data. The frequency dependence is discussed with
the data in the available literature. The result is that all methods of
subtracting the Galactic contamination are inaccurate. The galactic latitude
dependence analysis or the frequency dependence of the anisotropies in the
range 50-250 GHz put a constraint on the maximum Galactic contribution in the
power spectrum to be less than a ~10% (68% C. L.) for a ~1 degree scale, and
possibly higher for larger scales.
  The origin of most of the signal in the CMBR anisotropies is not Galactic. In
any case, the subtraction of the Galaxy is not accurate enough to allow a
"precision Cosmology"; other sources of contamination (extragalactic, solar
system) are also present.


title:
Star-gas decoupling and a non-rotating stellar core in He 2-10: Integral
  field spectroscopy with FLAMES/ARGUS

abstract:
  We study the two-dimensional distribution and kinematics of the stellar and
gaseous components in the centre of the blue compact dwarf galaxy, He 2-10. The
aim is to compare the kinematics of gas and stars in order to determine whether
they are consistent with one another, or if stars and gas can be decoupled due
to gravitational perturbations and feedback from star formation. We have used
the integral field unit ARGUS, part of FLAMES on the European Southern
Observatory's Very Large Telescope, to target the near-infrared Ca-triplet in
the central 300 times 480 parsecs of He 2-10. The selected wavelength regime
includes several prominent spectral features, including the Paschen series and
an [SIII] emission-line, which we have used to derive the kinematics of the
ionised interstellar medium. We find no systematic trend in the velocities of
the stars over the observed field of view and conclude that the stellar
kinematics is governed by random motions. This is in contrast to the motions
the ionised interstellar medium, where we find spatial velocity variations up
to 60 km/s. Our gas velocity field is consistent with previous studies of both
the molecular gas and the feedback-driven outflow in He 2-10. We interpret the
kinematic decoupling between the stars and the gas as He 2-10 being in the
process of transformation to a dwarf elliptical galaxy.


title:
Strangeness content of the nucleon in quasielastic neutrino-nucleus
  reactions

abstract:
  We present a systematic study of the sensitivity of quasielastic
neutrino-nucleus cross sections at intermediate energies to the strange quark
sea of the nucleon. To this end, we investigate the impact of the weak
strangeness form factors on the ratio of proton-to-neutron knockout, the ratio
of neutral-to-charged current cross sections, on the Paschos-Wolfenstein
relation, and on the longitudinal helicity asymmetry. The influence of axial as
well as vector strangeness effects is discussed. For the latter, we introduce
strangeness parameters from various hadron models and from a recent fit to data
from parity violating electron scattering.
  In our model, the nuclear target is described in terms of a relativistic
mean-field approach. The effects of final-state interactions on the outgoing
nucleon are quantified within a relativistic multiple-scattering Glauber
approach. Our results are illustrated with cross sections for the scattering of
1 GeV neutrinos and antineutrinos off a $^{12}$C target.
  Folding with a proposed FINeSSE (anti)neutrino energy-distribution has no
qualitative influence on the overall sensitivity of the cross-section ratios to
strangeness mechanisms. We show that vector strangeness effects are large and
strongly $Q^2$ dependent.


title: Solar cell Edge shunt isolation : A simplified approach

abstract:
  Edge shunts are among the main factors causing reduction in solar cell open
circuit voltage that is why their isolation is one of the main steps in solar
cell manufacturing. Many techniques have been employed to achieve this goal,
e.g. plasma etching, grinding, wet etching, etc. Unfortunately, these methods
have the disadvantages of being very expensive, single cell process and consume
a lot of dangerous chemicals. This work introduces a simple technique for edge
shunt isolation, by making a mechanical grove through the emitter and uses it
as back contact. It was found that with this technique the solar cell open
circuit voltage can be increased by an amount up to 200 mV. This technique is
simple, cheap and environmentally friendly in the sense that it uses no
chemicals.


title: A multiwavelength study of Galactic HII region Sh2-294

abstract:
  We present the observational results of Galactic HII region S294, using
optical photometry, narrow-band imaging and radio continuum mapping at 1280
MHz, together with archival data from 2MASS, MSX and IRAS surveys. The stellar
surface density profile indicates that the radius of the cluster associated
with the S294 region is ~ 2.3 arcmin. We found an anomalous reddening law for
the dust inside the cluster region and the ratio of total-to-selective
extinction is found to be 3.8+-0.1. We estimate the minimum reddening E (B-V) =
1.35 mag and distance of 4.8+-0.2 kpc to the region from optical CC and CM
diagrams. We identified the ionizing source of the HII region, and spectral
type estimates are consistent with a star of spectral type ~ B0 V. The 2MASS
JHKs images reveal a partially embedded cluster associated with the ionizing
source along with a small cluster towards the eastern border of S294. The
ionization front seen along the direction of small cluster in radio continuum
and Halpha images, might be due to the interaction of ionizing sources with the
nearby molecular cloud. We found an arc shaped diffuse molecular hydrogen
emission at 2.12 micron and a half ring of MSX dust emission which surrounds
the ionized gas in the direction of the ionization front. Self consistent
radiative transfer model of mid- to far-infrared continuum emission detected
near small cluster is in good agreement with the observed spectral energy
distribution of a B1.5 ZAMS star. The morphological correlation between the
ionised and molecular gas, along with probable time scale involved between the
ionising star, evolution of HII region and small cluster, indicates that the
star-formation activity observed at the border is probably triggered by the
expansion of HII region.


title:
Generalized backward doubly stochastic differential equations and SPDEs
  with nonlinear Neumann boundary conditions

abstract:
  In this paper a new class of generalized backward doubly stochastic
differential equations is investigated. This class involves an integral with
respect to an adapted continuous increasing process. A probabilistic
representation for viscosity solutions of semi-linear stochastic partial
differential equations with a Neumann boundary condition is given.


title:
Non-linear Equation of State, COSMIC Acceleration and Deceleration
  During Phantom-Dominance

abstract:
  Here, RS-II model of brane-gravity is considerd for phantom universe using
non-linear equation of stste. Phantom fluid is known to violate the weak energy
condition. In this paper, it is found that this characteristic of phantom
energy is affected drastically by the negative brane-tension $\lambda$ of the
RS-II model. It is interesting to see that upto a certain value of energy
density $\rho$ satisfying $\rho/\lambda < 1$, weak energy condition is violated
and universe super-accelerates. But as $\rho$ increases more, only strong
energy condition is violated and universe accelerates. When $1 < \rho/\lambda
<2$, even strong energy condition is not violated and universe decelerates.
Expansion of the universe stops, when $\rho = 2 \lambda$. This is contrary to
earlier results of phantom universe exhibiting acceleration only.


title: On E0 Transitions in even-even nuclei

abstract:
  The reanimation of the investigations dedicated to 0^{+} states energies and
E0 transitions between them is provoked by new and more precise experimental
techniques that not only made revision of the previous data but also gave a
possibility to obtain a great amount of new 0^{+} states energies and
conversion electrons data. We suggest one phenomenological model for estimation
of the E0 transition nuclear matrix elements. Recently theoretical calculations
[1] predicted existence of a 0^{+} state with energy 0.68 MeV in ^{160}Dy
nucleus. Powerful enough arguments in favor of existence of 681.3 keV state in
^{160}Dy nucleus are presented.


title:
Phases of 4D Scalar-tensor black holes coupled to Born-Infeld nonlinear
  electrodynamics

abstract:
  Recent results show that when non-linear electrodynamics is considered the
no-scalar-hair theorems in the scalar-tensor theories (STT) of gravity, which
are valid for the cases of neutral black holes and charged black holes in the
Maxwell electrodynamics, can be circumvented. What is even more, in the present
work, we find new non-unique, numerical solutions describing charged black
holes coupled to non-linear electrodynamics in a special class of scalar-tensor
theories. One of the phases has a trivial scalar field and coincides with the
corresponding solution in General Relativity. The other four phases that we
find are characterized by the value of the scalar field charge. The causal
structure and some aspects of the stability of the solutions have also been
studied. For the scalar-tensor theories considered, the black holes have a
single, non-degenerate horizon, i.e., their causal structure resembles that of
the Schwarzschild black hole. The thermodynamic analysis of the stability of
the solutions indicates that a phase transition may occur.


title:
Terahertz conductivity of localized photoinduced carriers in Mott
  insulator YTiO$_{3}$ at low excitation density, contrasted with metallic
  nature in band semiconductor Si

abstract:
  We performed optical-pump terahertz-probe measurements of a Mott insulator
YTiO$_{3}$ and a band semiconductor Si using a laser diode (1.47 eV) and a
femtosecond pulse laser (1.55 eV). Both samples possess long energy-relaxation
times (1.5 ms for YTiO$_{3}$ and 15 $\mu$s for Si); therefore, it is possible
to extract terahertz complex conductivities of photoinduced carriers under
equilibrium. We observed highly contrasting behavior - Drude conductivity in Si
and localized conductivity possibly obeying the Jonscher law in YTiO$_{3}$. The
carrier number at the highest carrier-concentration layer in YTiO$_{3}$ is
estimated to be 0.015 per Ti site. Anisotropic conductivity of YTiO$_{3}$ is
determined. Our study indicates that localized carriers might play an important
role in the incipient formation of photoinduced metallic phases in Mott
insulators. In addition, this study shows that the transfer-matrix method is
effective for extracting an optical constant of a sample with a spatially
inhomogeneous carrier distribution.


title: Stephani-Schutz quantum cosmology

abstract:
  We study the Stephani quantum cosmological model in the presence of a
cosmological constant in radiation dominated Universe. In the present work the
Schutz's variational formalism which recovers the notion of time is applied.
This gives rise to Wheeler-DeWitt equations which can be cast in the form of
Schr\"odinger equations for the scale factor. We find their eigenvalues and
eigenfunctions by using the Spectral Method. Then we use the eigenfunctions in
order to construct wave packets and evaluate the time-dependent expectation
value of the scale factor, which is found to oscillate between non-zero finite
maximum and minimum values. Since the expectation value of the scale factor
never tends to the singular point, we have an initial indication that this
model may not have singularities at the quantum level.


title:
High rate production of polarized 3He with meta-stability exchange
  method

abstract: Keywords: polarized 3He, meta-stability exchange, infrared laser


title: Low Luminosity Radio Loud Active Galactic Nuclei

abstract:
  I review observational properties of low power radio loud AGN. High
resolution VLBI observations allow the estimate of the jet velocity and
orientation with respect to the line of sight and the determination of the
Doppler factor. These data reveal rich structures, including two-sided jets and
secondary components. New results on 1144+35, a giant radio source with
superluminal motion are shown in detail.


title: Z_3 Polyakov Loop Models and Inverse Monte-Carlo Methods

abstract:
  We study effective Polyakov loop models for SU(3) Yang-Mills theory at finite
temperature. A comprehensive mean field analysis of the phase diagram is
carried out and compared to the results obtained from Monte-Carlo simulations.
We find a rich phase structure including ferromagnetic and antiferromagnetic
phases. Due to the presence of a tricritical point the mean field approximation
agrees very well with the numerical data. Critical exponents associated with
second-order transitions coincide with those of the Z_3 Potts model. Finally,
we employ inverse Monte-Carlo methods to determine the effective couplings in
order to match the effective models to Yang-Mills theory.


title:
On Some New Proof of the Bogoliubov-Parasiuk Theorem (Nonequilibrium
  Renormalization Theory II)

abstract:
  It is usually used a complicated combinatorics to prove the
Bogoliubov-Parasiuk theorem. In the present paper we give a proof of the
Bogoliubov-Parasiuk theorem which use a simple combinatorics. To give this
proof we interpret Feynman amplitudes as distributions on the space of
\alpha-parameters.
  We will use this technique in the next paper to give a proof that the
divergences in nonequilibrium diagram technique can be subtracted by means the
counterterms of asymptotical state.


title:
Electron and lattice structure of ultra thin Ag films on Si(111) and
  Si(001)

abstract:
  We studied the low temperature (T<130K) growth of Ag on Si(001) and Si(111)
flat surfaces prepared by Si homo epitaxy with the aim to achieve thin metallic
films. The band structure and morphology of the Ag overlayers have been
investigated by means of XPS, UPS, LEED, STM and STS. Surprisingly a
(root3xroot3)R30^o LEED structure for Ag films has been observed after
deposition of 2-6 ML Ag onto a Si(111)(root3xroot3)R30^o Ag surface at low
temperatures. XPS investigations showed that these films are solid, and UPS
measurements indicate that they are metallic. However, after closer STM studies
we found that these films consists of sharp Ag islands and (root3xroot3)R30^o
Ag flat terraces in between. On Si(001) the low-temperature deposition yields
an epitaxial growth of Ag on clean Si(001)2x1 with a twinned Ag(111) structure
at coverages as low as 10 ML. Furthermore the conductivity of few monolayer Ag
films on Si(100) surfaces has been studied as a function of temperature (40-300
K).


title: On the complexity of nonnegative matrix factorization

abstract:
  Nonnegative matrix factorization (NMF) has become a prominent technique for
the analysis of image databases, text databases and other information retrieval
and clustering applications. In this report, we define an exact version of NMF.
Then we establish several results about exact NMF: (1) that it is equivalent to
a problem in polyhedral combinatorics; (2) that it is NP-hard; and (3) that a
polynomial-time local search heuristic exists.


title:
Compact radio sources and jet-driven AGN feedback in the early Universe:
  Constraints from integral-field spectroscopy

abstract:
  To investigate the impact of radio jets during the formation epoch of their
massive host galaxies, we present an analysis of two massive, log(M_stel/
M_sun)~10.6 and 11.3, compact radio galaxies at z=3.5, TNJ0205+2242 and
TNJ0121+1320. Their small radio sizes (R<= 10 kpc) are most likely a sign of
youth. We compare their radio properties and gas dynamics with those in well
extended radio galaxies at high redshift, which show strong evidence for
powerful, jet-driven outflows of significant gas masses (M 10^9-10 M_sun). Our
analysis combines rest-frame optical integral-field spectroscopy with existing
radio imaging, CO emission line spectra, and rest-frame UV spectroscopy.
[OIII]5007 line emission is compact in both galaxies and lies within the region
defined by the radio lobes. For TNJ0205+2242, the Ly-alpha profile narrows
significantly outside the jet radius, indicating the presence of a quiescent
halo. TNJ0121+1320 has two components separated by ~10 kpc and a velocity
offset of ~300 km s^-1. If motions are gravitational, this implies a dynamical
mass of 2x10^11 M_sun for the more massive, radio-loud component. The dynamical
mass, molecular gas mass measured from the CO line emission, and radio
luminosity of these two compact radio galaxies imply that compact radio sources
may well develop large-scale, energetic outflows as observed in extended radio
galaxies, with the potential of removing significant fractions of the ISM from
the host galaxy. The absence of luminous emission line gas extending beyond the
radio emission in these sources agrees with the observed timescales and outflow
rates in extended radio galaxies, and adds further evidence that the energetic,
large-scale outflows observed in extended radio sources (Nesvadba et al. 2006)
are indeed the result of influence of the radio jet.


title: Unipotent flows on products of $SL(2,K)/\Gamma$'s

abstract:
  We give a simplified and a direct proof of a special case of Ratner's theorem
on closures and uniform distribution of individual orbits of unipotent flows;
namely, the case of orbits of the diagonally embedded unipotent subgroup acting
on $SL(2,K)/\Gamma_1\times ...\times SL(2,K)/\Gamma_n$, where $K$ is a locally
compact field of characteristic 0 and each $\Gamma_i$ is a cocompact discrete
subgroup of $SL(2,K)$. This special case of Ratner's theorem plays a crucial
role in the proofs of uniform distribution of Heegner points by Vatsal, and
Mazur conjecture on Heegner points by C. Cornut; and their generalizations in
their joint work on CM-points and quaternion algebras. A purpose of the article
is to make the ergodic theoretic results accessible to a wide audience.


title: Estimation in hidden Markov models via efficient importance sampling

abstract:
  Given a sequence of observations from a discrete-time, finite-state hidden
Markov model, we would like to estimate the sampling distribution of a
statistic. The bootstrap method is employed to approximate the confidence
regions of a multi-dimensional parameter. We propose an importance sampling
formula for efficient simulation in this context. Our approach consists of
constructing a locally asymptotically normal (LAN) family of probability
distributions around the default resampling rule and then minimizing the
asymptotic variance within the LAN family. The solution of this minimization
problem characterizes the asymptotically optimal resampling scheme, which is
given by a tilting formula. The implementation of the tilting formula is
facilitated by solving a Poisson equation. A few numerical examples are given
to demonstrate the efficiency of the proposed importance sampling scheme.


title: Cosmic reionization in a dynamic quintessence cosmology

abstract:
  In this paper we investigate the effects that a dynamic dark energy component
dominant in the universe at late epochs has on reionization. We follow the
evolution of HII regions with the analytic approach of Furlanetto and Oh (2005)
in two different universes for which we assume the Peebles and Ratra (2003) and
Brax and Martin (2000) quintessence models and we compare our results to the
LCDM scenario. We show that, for a fixed ionization efficiency, at the same
cosmological epoch the topology of bubbles is dominated by high-mass objects
and the characteristic size of the ionized regions is slightly smaller than in
the LCDM model, especially at the latest stages of reionization, due to the
higher recombination efficiency. As a consequence, the bubbles' `epoch of
overlap' happens earlier than in LCDM. Finally, we show how the different
evolution of the HII regions affects the transmission of the high-z QSO
spectra, reducing the Lyman flux absorption at small optical depths.


title: Thermal Conductivity Minimum: A New Water Anomaly

abstract:
  We report a new anomaly of water, a minimum in the thermal conductivity in
the supercooled region. Our findings are consistent with the presence of a
liquid-liquid phase transition in water


title: Coexistence of Social Norms based on In- and Out-group Interactions

abstract:
  The question how social norms can emerge from microscopic interactions
between individuals is a key problem in social sciences to explain collective
behavior. In this paper we propose an agent-based model to show that randomly
distributed social behavior by way of local interaction converges to a state
with a multimodal distribution of behavior. This can be interpreted as a
coexistence of different social norms, a result that goes beyond previous
investigations. The model is discrete in time and space, behavior is
characterized in a continuous state space. The adaptation of social behavior by
each agent is based on attractive and repulsive forces caused by friendly and
adversary relations among agents. The model is analyzed both analytically and
by means of spatio-temporal computer simulations. It provides conditions under
which we find convergence towards a single norm, coexistence of two opposing
norms, and coexistence of a multitude of norms. For the latter case, we also
show the evolution of the spatio-temporal distribution of behavior.


title: A limit result for a system of particles in random environment

abstract:
  We consider an infinite system of particles in one dimension, each particle
performs independant Sinai's random walk in random environment. Considering an
instant $t$, large enough, we prove a result in probability showing that the
particles are trapped in the neighborhood of well defined points of the lattice
depending on the random environment the time $t$ and the starting point of the
particles.


title: On the scaling limit of a singular integral operator

abstract:
  The scaling limit and Schauder bounds are derived for a singular integral
operator arising from a difference equation approach to monodromy problems.


title:
Application of Small-Angular Magnetooptic Polarimetry for Study of
  Magnetogyration in (Ga0.3In0.7)2Se3 and SiO2 Crystals

abstract:
  We present the results of studies for magnetogyration (MG) effect in
(Ga0.3In0.7)2Se3 and SiO2 crystals performed with the small-angular
polarimetric mapping technique. It is shown that the MG effect magnitude is
comparable with the experimental error.


title: O'KKLT at Finite Temperature

abstract:
  We study whether finite temperature corrections decompactify the internal
space in KKLT compactifications with an uplifting sector given by a system that
exhibits metastable dynamical supersymmetry breaking. More precisely, we
calculate the one-loop temperature corrections to the effective potential of
the volume modulus in the KKLT model coupled to the quantum corrected
O'Raifeartaigh model. We prove that for the original KKLT model, namely with
one exponent in the non-perturbative superpotential, the finite temperature
potential is runaway when at zero temperature there is a dS minimum. On the
other hand, for a non-perturbative superpotential of the race-track type with
two exponents, we demonstrate that the temperature-dependent part of the
effective potential can have local minima at finite field vevs. However, rather
unexpectedly, it turns out that these minima do not affect the structure of the
full effective potential and so the volume modulus is stabilized at the local
minimum of the zero temperature potential for the whole range of validity of
the supergravity approximation.


title: Overcritical PT-symmetric square well potential in the Dirac equation

abstract:
  We study scattering properties of a PT-symmetric square well potential with
real depth larger than the threshold of particle-antiparticle pair production
as the time component of a vector potential in the (1+1)-dimensional Dirac
equation.


title: Generation of arbitrarily two-point correlated random networks

abstract:
  Random networks are intensively used as null models to investigate properties
of complex networks. We describe an efficient and accurate algorithm to
generate arbitrarily two-point correlated undirected random networks without
self- or multiple-edges among vertices. With the goal to systematically
investigate the influence of two-point correlations, we furthermore develop a
formalism to construct a joint degree distribution $P(j,k)$ which allows to fix
an arbitrary degree distribution $P(k)$ and an arbitrary average nearest
neighbor function $\knn(k)$ simultaneously. Using the presented algorithm, this
formalism is demonstrated with scale-free networks ($P(k) \propto k^{-\gamma}$)
and empirical complex networks ($P(k)$ taken from network) as examples.
Finally, we generalize our algorithm to annealed networks which allows networks
to be represented in a mean-field like manner.


title:
Spin-Peierls-like phases in magnetoelastic $J_1-J_2$ antiferromagnetic
  chain at 1/3 magnetization

abstract:
  We investigate elastic deformations of spin $S=1/2$ antiferromagnetic
$J_1-J_2$ Heisenberg chains, at $M=1/3$ magnetization, coupled to phonons in
the adiabatic approximation. Using a bosonization approach we predict the
existence of non-homogeneous trimerized magnetoelastic phases. A rich ground
state phase diagram is found, including classical and quantum plateau states
for the magnetic sector as well as inequivalent lattice deformations within
each magnetic phase. The analytical results are supported by exact
diagonalization of small clusters.


title:
Chemical evolution of neutron capture elements in our Galaxy and in the
  dwarf spheroidal galaxies of the Local Group

abstract:
  By adopting a chemical evolution model for the Milky Way already reproducing
the evolution of several chemical elements, we compare our theoretical results
with accurate and new stellar data of neutron capture elements and we are able
to impose strong constraints on the nucleosynthesis of the studied elements. We
can suggest the stellar sites of production for each element. In particular,
the r-process component of each element (if any) is produced in the mass range
from 10 to 30 Msun, whereas the s-process component arises from stars in the
range from 1 to 3 Msun. Using the same chemical evolution model, extended to
different galactocentric distances, we obtain results on the radial gradients
of the Milky Way. We compare the results of the model not only for the neutron
capture elements but also for alpha-elements and iron peak elements with new
data of Cepheids stars. We give a possible explanation to the considerable
scatter of neutron capture elements observed in low metallicity stars in the
solar vicinity, compared to the small star to star scatter observed for the
alpha-elements. In fact, we have developed a stochastic chemical evolution
model, in which the main assumption is a random formation of new stars, subject
to the condition that the cumulative mass distribution follows a given initial
mass function. With our model we are able to reproduce the different features
of neutron capture elements and alpha-elements. Finally, we test the
prescriptions for neutron capture elements also for the dwarf spheroidal
galaxies of the Local Group. We predict that the chemical evolution of these
elements in dwarf spheroidal galaxies is different from the evolution in the
solar vicinity and indicates that dwarf spheroidal galaxies (we see nowadays)
cannot be the building blocks of our Galaxy.


title: Asymptotic improvement of the Gilbert-Varshamov bound for linear codes

abstract:
  The Gilbert-Varshamov bound states that the maximum size A_2(n,d) of a binary
code of length n and minimum distance d satisfies A_2(n,d) >= 2^n/V(n,d-1)
where V(n,d) stands for the volume of a Hamming ball of radius d. Recently
Jiang and Vardy showed that for binary non-linear codes this bound can be
improved to A_2(n,d) >= cn2^n/V(n,d-1) for c a constant and d/n <= 0.499. In
this paper we show that certain asymptotic families of linear binary [n,n/2]
random double circulant codes satisfy the same improved Gilbert-Varshamov
bound.


title:
Penalized nonparametric mean square estimation of the coefficients of
  diffusion processes

abstract:
  We consider a one-dimensional diffusion process $(X_t)$ which is observed at
$n+1$ discrete times with regular sampling interval $\Delta$. Assuming that
$(X_t)$ is strictly stationary, we propose nonparametric estimators of the
drift and diffusion coefficients obtained by a penalized least squares
approach. Our estimators belong to a finite-dimensional function space whose
dimension is selected by a data-driven method. We provide non-asymptotic risk
bounds for the estimators. When the sampling interval tends to zero while the
number of observations and the length of the observation time interval tend to
infinity, we show that our estimators reach the minimax optimal rates of
convergence. Numerical results based on exact simulations of diffusion
processes are given for several examples of models and illustrate the qualities
of our estimation algorithms.


title: Nonequlibrium Renormalization Theory III

abstract:
  In the present paper we develop the general theory of renormalization of some
nonequilibrium diagram technique. This technique roughly is the Keldysh diagram
technique. To develop our theory we have used the Bogoliubov -Parasiuk R -
operation method. Our theory can be used for the studing of the divergences in
kinetic equations.


title: Understanding the newly observed Y(4008) by Belle

abstract:
  Very recently a new enhancement around 4.05 GeV was observed by Belle
experiment. In this short note, we discuss some possible assignments for this
enhancement, i.e. $\psi(3S)$ and $D^*\bar{D}^*$ molecular state. In these two
assignments, Y(4008) can decay into $J/\psi\pi^0\pi^0$ with comparable
branching ratio with that of $Y(4008)\to J/\psi\pi^+\pi^-$. Thus one suggests
high energy experimentalists to look for Y(4008) in $J/\psi\pi^0\pi^0$ channel.
Furthermore one proposes further experiments to search missing channel
$D\bar{D}$, $D\bar{D}^*+h.c.$ and especially $\chi_{cJ}\pi^+\pi^-\pi^0$ and
$\eta_c\pi^+\pi^-\pi^0$, which will be helpful to distinguish $\psi(3S)$ and
$D^*\bar{D}^*$ molecular state assignments for this new enhancement.


title: Tensor charges of light baryons in the Infinite Momentum Frame

abstract:
  We have used the Chiral-Quark Soliton Model formulated in the Infinite
Momentum Frame to investigate the octet, decuplet and antidecuplet tensor
charges up to the 5Q level. Using flavor SU(3) symmetry we have obtained for
the proton $\delta u=1.172$ and $\delta d=-0.315$ in fair agreement previous
model estimations. The 5Q allowed us to estimate also the strange contribution
to the proton tensor charge $\delta s=-0.011$. All those values have been
obtained at the model scale Q^2=0.36 GeV^2.


title:
Discovery of new nearby L and late-M dwarfs at low Galactic latitude
  from the DENIS database

abstract:
  We report new nearby L and late-M dwarfs (d_phot <= 30 pc) discovered in our
search for nearby ultracool dwarfs (I-J >= 3.0, later than M8.0) at low
Galactic latitude (|b| < 15 degr) over 4,800 square degrees in the DENIS
database. We used late-M (>=M8.0), L, and T dwarfs with accurate trigonometric
parallaxes to calibrate the M_J versus I-J colour-luminosity relation. The
resulting photometric distances have standard errors of ~15%, which we used to
select candidates d_phot <= 30 pc. We measured proper motions from multi-epoch
images found in the public archives ALADIN, DSS, 2MASS, DENIS, with at least
three distinct epochs and time baselines of 10 to 21 years. We then used a
Maximum Reduced Proper Motion cutoff to select 28 candidates as ultracool
dwarfs (M8.0--L8.0) and to reject one as a distant red star. No T dwarf
candidates were found in this search which required an object to be detected in
all three DENIS bands. Our low-resolution optical spectra confirmed that 26 of
them were indeed ultracool dwarfs, with spectral types from M8.0 to L5.5. Two
contaminants and one rejected by the Maximum Reduced Proper Motion cutoff were
all reddened F-K main sequence stars. 20 of these 26 ultracool dwarfs are new
nearby ultracool dwarf members, three L dwarfs within 15 pc with one L3.5 at
only ~10 pc. We determine a stellar density of \bar{\Phi}_J cor=(1.64 +-
0.46).10^{-3} dwarfs pc^{-3} mag^{-1} over 11.1 <= M_J <= 13.1 based on that
sample of M8--L3.5 ultracool dwarfs. Our ultracool dwarf density value is in
good agreement with the Cruz et al. measurement of the ultracool dwarf density
at high Galactic latitude.


title: Raising a Hardness Result

abstract:
  This article presents a technique for proving problems hard for classes of
the polynomial hierarchy or for PSPACE. The rationale of this technique is that
some problem restrictions are able to simulate existential or universal
quantifiers. If this is the case, reductions from Quantified Boolean Formulae
(QBF) to these restrictions can be transformed into reductions from QBFs having
one more quantifier in the front. This means that a proof of hardness of a
problem at level n in the polynomial hierarchy can be split into n separate
proofs, which may be simpler than a proof directly showing a reduction from a
class of QBFs to the considered problem.


title: Effect of phonon-phonon interactions on localization

abstract:
  We study the heat current J in a classical one-dimensional disordered chain
with on-site pinning and with ends connected to stochastic thermal reservoirs
at different temperatures. In the absence of anharmonicity all modes are
localized and there is a gap in the spectrum. Consequently J decays
exponentially with system size N. Using simulations we find that even a small
amount of anharmonicity leads to a J~1/N dependence, implying diffusive
transport of energy.


title: Monogenic Functions in Conformal Geometry

abstract:
  Monogenic functions are basic to Clifford analysis. On Euclidean space they
are defined as smooth functions with values in the corresponding Clifford
algebra satisfying a certain system of first order differential equations,
usually referred to as the Dirac equation. There are two equally natural
extensions of these equations to a Riemannian spin manifold only one of which
is conformally invariant. We present a straightforward exposition.


title: Reflecting recollements

abstract:
  A recollement describes one triangulated category T as "glued together" from
two others, S and U. The definition is not symmetrical in S and U, but this
note shows how S and U can be interchanged when T has a Serre functor.


title:
About possible influence of birefringence effect on processes of
  production (photoproduction, electroproduction) of vector mesons (particles
  with the spin S greater or equal then 1) in nuclei

abstract:
  It is shown that birefringence effect influences on production of particles
with the spin S greater or equal then 1 at collisions of high energy particles.


title: Spitzer's View of Planetary Nebulae

abstract:
  The Spitzer Space Telescope, NASA's Great Observatory for infrared astronomy,
has made available new tools for the investigation of the infrared properties
of planetary nebulae. The three instruments onboard, including the Infrared
Array Camera (IRAC), the Multiband Imaging Photometer for Spitzer (MIPS), and
the Infrared Spectrograph (IRS), provide imaging capability from 3.6 to 160
microns, and low and moderate resolution spectroscopy from 5.2 to 38 microns.
In this paper I review recent Spitzer results concerning planetary nebulae and
their asymmetrical structures.


title: Classical and Effective Descriptive Complexities of omega-Powers

abstract:
  We prove that, for each non null countable ordinal alpha, there exist some
Sigma^0_alpha-complete omega-powers, and some Pi^0_alpha-complete omega-powers,
extending previous works on the topological complexity of omega-powers. We
prove effective versions of these results. In particular, for each non null
recursive ordinal alpha, there exists a recursive finitary language A such that
A^omega is Sigma^0_alpha-complete (respectively, Pi^0_alpha-complete). To do
this, we prove effective versions of a result by Kuratowski, describing a Borel
set as the range of a closed subset of the Baire space by a continuous
bijection. This leads us to prove closure properties for the classes
Effective-Pi^0_alpha and Effective-Sigma^0_alpha of the hyperarithmetical
hierarchy in arbitrary recursively presented Polish spaces. We apply our
existence results to get better computations of the topological complexity of
some sets of dictionaries considered by the second author in [Omega-Powers and
Descriptive Set Theory, Journal of Symbolic Logic, Volume 70 (4), 2005, p.
1210-1232].


title:
Characterization of count data distributions involving additivity and
  binomial subsampling

abstract:
  In this paper we characterize all the $r$-parameter families of count
distributions (satisfying mild conditions) that are closed under addition and
under binomial subsampling. Surprisingly, few families satisfy both properties
and the resulting models consist of the $r$th-order univariate Hermite
distributions. Among these, we find the Poisson ($r=1$) and the ordinary
Hermite distributions ($r=2$).


title:
Relationship between degree of efficiency and prediction in stock price
  changes

abstract:
  This study investigates empirically whether the degree of stock market
efficiency is related to the prediction power of future price change using the
indices of twenty seven stock markets. Efficiency refers to weak-form efficient
market hypothesis (EMH) in terms of the information of past price changes. The
prediction power corresponds to the hit-rate, which is the rate of the
consistency between the direction of actual price change and that of predicted
one, calculated by the nearest neighbor prediction method (NN method) using the
out-of-sample. In this manuscript, the Hurst exponent and the approximate
entropy (ApEn) are used as the quantitative measurements of the degree of
efficiency. The relationship between the Hurst exponent, reflecting the various
time correlation property, and the ApEn value, reflecting the randomness in the
time series, shows negative correlation. However, the average prediction power
on the direction of future price change has the strongly positive correlation
with the Hurst exponent, and the negative correlation with the ApEn. Therefore,
the market index with less market efficiency has higher prediction power for
future price change than one with higher market efficiency when we analyze the
market using the past price change pattern. Furthermore, we show that the Hurst
exponent, a measurement of the long-term memory property, provides more
significant information in terms of prediction of future price changes than the
ApEn and the NN method.


title: A cosmotopological relation for a unified field theory

abstract:
  I present an argument, based on the topology of the universe, why there are
three generations of fermions. The argument implies a preferred unified gauge
group of SU(5), but with SO(10) representations of the fermions. The breaking
pattern $SU(5) \to SU(3) \times SU(2) \times U(1)$ is preferred over the
pattern $SU(5) \to SU(4) \times U(1)$. On the basis of the argument one expects
an asymmetry in the microwave data, which might have been detected already.


title: On The Arrow of Time

abstract:
  The interface between classical physics and quantum physics is explained from
the point of view of quantum information theory (Feynman Processes). The
interpretation depends on a hefty sacrifice: the classical determinism or the
arrow of time.
  The wave-particle duality steams from the qubit model, as the root of
creation and annihilation of possibilities. A few key experiments are briefly
reviewed from the above perspective: quantum erasure, delayed-choice and
wave-particle correlation.
  The CPT-Theorem is interpreted in the framework of categories with duality
and a timeless interpretation of the Feynman Processes is proposed. A
connection between the fine-structure constant and algebraic number theory is
suggested.


title: Spin-Peierls instability in the three-leg Heisenberg ladder

abstract:
  Because the three-leg ladder behaves like a renormalized single Heisenberg
chain we argue that a spin-Peierls instability must occur in this system when
it is coupled to three-dimensional phonons. Using the bond-mean-field theory,
we show that this is indeed the case. The dimerized state below the
spin-Peierls transition temperature forms into the columnar dimerized phase not
the staggered one. This contrasts with the argument based on
antiferromagnetism. A physical argument based rather on spin bonding into
singlets explains why the columnar configuration is favored. No quantum
criticality (gaplessness) can occur in the columnar arrangement of the
dimerized chains.


title:
Lattice Boltzmann simulation of electrowetting-on-dielectric in a
  rough-wall channel

abstract:
  A lattice Boltzmann model was proposed to simulate
electrowetting-on-dielectric (EWOD). The insulative vapor and the electrolyte
liquid droplet were simulated by the lattice Boltzmann method respectively, and
the linear property between cosine of contact angle and the electric field
force confirms the reliability of this model. In the simulation of electrolyte
flowing in a rough-wall channel under an external electric field, we found that
a narrow channel is more sensitive than a broad channel and the flux decreases
monotonously as the electric field increase, but may suddenly increase if the
electric field is strong enough.


title: On martingale approximations

abstract:
  Consider additive functionals of a Markov chain $W_k$, with stationary
(marginal) distribution and transition function denoted by $\pi$ and $Q$, say
$S_n=g(W_1)+...+g(W_n)$, where $g$ is square integrable and has mean 0 with
respect to $\pi$. If $S_n$ has the form $S_n=M_n+R_n$, where $M_n$ is a square
integrable martingale with stationary increments and $E(R_n^2)=o(n)$, then $g$
is said to admit a martingale approximation. Necessary and sufficient
conditions for such an approximation are developed. Two obvious necessary
conditions are $E[E(S_n|W_1)^2]=o(n)$ and $\lim_{n\to
\infty}E(S_n^2)/n<\infty$. Assuming the first of these, let $\Vert
g\Vert^2_+=\limsup_{n\to \infty}E(S_n^2)/n$; then $\Vert\cdot\Vert_+$ defines a
pseudo norm on the subspace of $L^2(\pi)$ where it is finite. In one main
result, a simple necessary and sufficient condition for a martingale
approximation is developed in terms of $\Vert\cdot\Vert_+$. Let $Q^*$ denote
the adjoint operator to $Q$, regarded as a linear operator from $L^2(\pi)$ into
itself, and consider co-isometries ($QQ^*=I$), an important special case that
includes shift processes. In another main result a convenient orthonormal basis
for $L_0^2(\pi)$ is identified along with a simple necessary and sufficient
condition for the existence of a martingale approximation in terms of the
coefficients of the expansion of $g$ with respect to this basis.


title: Entanglement transformation with no classical communication

abstract:
  We present an optimal scheme to realize the transformations between single
copies of two bipartite entangled states without classical communication
between the sharing parties. The scheme achieves the upper bound for the
success probabilities [PRA 63, 022301 (2001), PRL 83, 1455 (1999)] of
generating maximally entangled states if applied to entanglement concentration.
Such strategy also dispenses with the interaction with an ancilla system in the
implementation. We also show that classical communications are indispensable in
realizing the deterministic transformations of a single bipartite entangled
state. With a finite number of identical pairs of two entangled bosons, on the
other hand, we can realize the deterministic transformation to any target
entangled state of equal or less Schmidt rank through an extension of the
scheme.


title: A Submillimeter View of Circumstellar Dust Disks in $\rho$ Ophiuchus

abstract:
  We present new multiwavelength submillimeter continuum measurements of the
circumstellar dust around 48 young stars in the $\rho$ Ophiuchus dark clouds.
Supplemented with previous 1.3 mm observations of an additional 99 objects from
the literature, the statistical distributions of disk masses and submillimeter
colors are calculated and compared to those in the Taurus-Auriga region. These
basic submillimeter properties of young stellar objects in both environments
are shown to be essentially identical. As with their Taurus counterparts, the
$\rho$ Oph circumstellar dust properties are shown to evolve along an empirical
evolution sequence based on the infrared spectral energy distribution. The
combined $\rho$ Oph and Taurus Class II samples (173 sources) are used to set
benchmark values for basic outer disk characteristics: M_disk ~ 0.005 solar
masses, M_disk/M_star ~ 1%, and $\alpha$ ~ 2 (where $F_{\nu} \propto
\nu^{\alpha}$ between 350 microns and 1.3 mm). The precision of these numbers
are addressed in the context of substantial solid particle growth in the
earliest stages of the planet formation process. There is some circumstantial
evidence that disk masses inferred from submillimeter emission may be
under-estimated by up to an order of magnitude.


title: The Laguerre process and generalized Hartman--Watson law

abstract:
  In this paper, we study complex Wishart processes or the so-called Laguerre
processes $(X_t)_{t\geq0}$. We are interested in the behaviour of the
eigenvalue process; we derive some useful stochastic differential equations and
compute both the infinitesimal generator and the semi-group. We also give
absolute-continuity relations between different indices. Finally, we compute
the density function of the so-called generalized Hartman--Watson law as well
as the law of $T_0:=\inf\{t,\det(X_t)=0\}$ when the size of the matrix is 2.


title:
Constructive decomposition of a function of two variables as a sum of
  functions of one variable

abstract:
  Given a compact set $K$ in the plane, which does not contain any triple of
points forming a vertical and a horizontal segment, and a map $f\in C(K)$, we
give a construction of functions $g,h\in C(\mathbb R)$ such that
$f(x,y)=g(x)+h(y)$ for all $(x,y)\in K$. This provides a constructive proof of
a part of Sternfeld's theorem on basic embeddings in the plane. In our proof
the set $K$ is approximated by a finite set of points.


title:
Rational maps between moduli spaces of curves and Gieseker-Petri
  divisors

abstract:
  We perform an intersection theoretic study of the rational map between two
different moduli spaces of stable curves which associates to a curve its
corresponding Brill-Noether locus (in the case this locus has virtual dimension
1). We then use these results to describe the cone of moving divisors on M_g.
Several other applications to moduli spaces of Prym varieties are presented. In
a different direction, we prove that the locus in M_g of curves failing to
satisfy the Gieseker-Petri theorem is supported in codimension 1 for every
possible type of linear series.


title: Some algorithms for semi-invariants of quivers

abstract:
  We present some theorems and algorithms for calculating perpendicular
categories and locally semi-simple decompositions. We implemented a computer
program {\sc TETIVA} based on these algorithms and we offer this program for
everybody's use.


title:
External edge condition and group cohomologies associated with the
  quantum Clebsch-Gordan condition

abstract:
  In this article we determine the structure of a twisted first cohomology
group of the first homology of a trivalent graph with a coefficient associated
with the quantum Clebsch-Gordan condition. As an application we give a
characterization of a combinatorial property, the external edge condition,
which is defined by the author in the study of the Heisenberg representation on
the TQFT-module.


title: Partial magmatic bialgebras

abstract:
  A partial magmatic bialgebra, (T;S)-magmatic bialgebra where T \subset S are
subsets of the set of positive integers, is a vector space endowed with an
n-ary operation for each n in S and an m-ary co-operation for each m in T
satisfying some compatibility and unitary relations. We prove an analogue of
the Poincar\'e-Birkhoff-Witt theorem for these partial magmatic bialgebras.


title:
Probing Unification With Chandra HETGS and XMM-Newton EPIC And RGS
  Spectroscopy of the Narrow Emission Line Galaxy NGC 2110

abstract:
  We present results from Chandra HETGS (250 ks over two epochs) and XMM-Newton
EPIC and RGS (60 ks) observations of NGC 2110, which has been historically
classified as a Narrow Emission Line Galaxy galaxy. Our results support the
interpretation that the source is a Seyfert 2 viewed through a patchy absorber.
The nuclear X-ray spectrum of the source is best described by a power law of
photon index $\Gamma$ ~1.7, modified by absorption from multiple layers of
neutral material at a large distance from the central supermassive black hole.
We report the strong detections of Fe K$\alpha$ and Si K$\alpha$ lines, which
are marginally resolved with the Chandra HETGS, and we constrain the emission
radius of the fluorescing material to >1 pc. There is some evidence for modest
additional broadening at the base of the narrow Fe K$\alpha$ core with a
velocity ~4500 km s$^{-1}$. We find tentative evidence for ionized emission (O
VIII Ly $\alpha$, an O VIII RRC feature, and possibly a Ne IX forbidden line)
in the Chandra MEG and XMM-Newton RGS spectra, which could be associated with
the known extended X-ray emission that lies ~160 pc from the nucleus. We
suggest that the $10^{23}$ cm$^{-2}$ partially covering absorber originates in
broad-line region clouds in the vicinity of the AGN, and that the
$3\times10^{22}$ cm$^{-2}$ coverer is likely to have a more distant origin and
have a flattened geometry in order to allow the small-scale radio jet to
escape.


title: On the temperature of the moving rod

abstract:
  In this paper the Lorentz transformation for temperature is derived and
discussed. Considering the hyperbolic heat transport equation it is shown that
T(prim) = gamma T, where gamma is the Lorentz factor, T denotes the temperature
in the rest system and T(prim) is the temperature in the moving system (rod).


title: Nonlinear electrostatics: steps towards a neoclassical electron model

abstract:
  The equations of electrostatics are presented in pre-metric form, and it is
pointed out that if the origin of the nonlinearity is the constitutive law for
the medium then the differential equations themselves remain linear, while the
nonlinearity is confined to an algebraic equation. These equations are solved
for a general class of electric fields that include the common textbook
examples, namely, fields that are adapted to a coordinate vector field. The
special forms that they then take for particular electric constitutive laws of
quantum origin, namely, the constitutive laws derived from the Born-Infeld and
Heisenberg-Euler Lagrangians, are then discussed. Finally, the classical
problem of modeling the electron is redefined in light of the established facts
of quantum physics.


title: Amenability of ultraproducts of Banach algebras

abstract:
  We study when certain properties of Banach algebras are stable under
ultrapower constructions. In particular, we consider when every ultrapower of
$\mc A$ is Arens regular, and give some evidence that this is if and only if
$\mc A$ is isomorphic to a closed subalgebra of operators on a super-reflexive
Banach space. We show that such ideas are closely related to whether one can
sensibly define an ultrapower of a dual Banach algebra. We study how tensor
products of ultrapowers behave, and apply this to study the question of when
every ultrapower of $\mc A$ is amenable. We provide an abstract
characterisation in terms of something like an approximate diagonal, and
consider when every ultrapower of a C$^*$-algebra, or a group $L^1$-convolution
algebra, is amenable.


title:
A universal constraint between charge and rotation rate for degenerate
  black holes surrounded by matter

abstract:
  We consider stationary, axially and equatorially symmetric systems consisting
of a central rotating and charged degenerate black hole and surrounding matter.
We show that $a^2+Q^2=M^2$ always holds provided that a continuous sequence of
spacetimes can be identified, leading from the Kerr-Newman solution in
electrovacuum to the solution in question. The quantity $a=J/M$ is the black
hole's intrinsic angular momentum per unit mass, $Q$ its electric charge and
$M$ the well known black hole mass parameter introduced by Christodoulou and
Ruffini.


title: Optimal transport of ultracold atoms in the non-adiabatic regime

abstract:
  We report the transport of ultracold atoms with optical tweezers in the
non-adiabatic regime, i.e. on a time scale on the order of the oscillation
period. We have found a set of discrete transport durations for which the
transport is not accompanied by any excitation of the centre of mass of the
cloud. We show that the residual amplitude of oscillation of the dipole mode is
given by the Fourier transform of the velocity profile imposed to the trap for
the transport. This formalism leads to a simple interpretation of our data and
simple methods for optimizing trapped particles displacement in the
non-adiabatic regime.


title:
Tracing the early development of harmful algal blooms with the aid of
  Lagrangian coherent structures

abstract:
  Several theories have been proposed to explain the development of harmful
algal blooms (HABs) produced by the toxic dinoflagellate \emph{Karenia brevis}
on the West Florida Shelf. However, because the early stages of HAB development
are usually not detected, these theories have been so far very difficult to
verify. In this paper we employ simulated \emph{Lagrangian coherent structures}
(LCSs) to trace the early location of a HAB in late 2004 before it was
transported to an area where it could be detected by satellite imagery, and
then we make use of a population dynamics model to infer the factors that may
have led to its development. The LCSs, which are computed based on a surface
flow description provided by an ocean circulation model, delineate past and
future histories of boundaries of passively advected fluid domains. The
population dynamics model determines nitrogen in two components, nutrients and
phytoplankton, which are assumed to be passively advected by the simulated
surface currents. Two nearshore nutrient sources are identified for the HAB
whose evolution is found to be strongly tied to the simulated LCSs. While one
nutrient source can be associated with a coastal upwelling event, the other is
seen to be produced by river runoff, which provides support to a theory of HAB
development that considers nutrient loading into coastal waters produced by
human activities as a critical element. Our results show that the use of
simulated LCSs and a population dynamics model can greatly enhance our
understanding of the early stages of the development of HABs.


title:
Planetary Nebulae Principles & Paradigms: Binaries, Accretion, Magnetic
  Fields

abstract:
  Observations suggest that many, if not all, post AGB systems evolve through
an aspherical outflow phase. Such outflows require a sufficient engine
rotational energy which binaries can provide. Via common envelope evolution,
binaries can directly eject equatorial outflows or produce poloidal outflows
from magnetized accretion disks around the primary or secondary. We discuss how
accretion driven magnetohydrodynamic outflow models all make similar
predictions for the outflow power and speed and we distinguish between the
launch vs. propagation regimes of such outflows. We suggest that the high
velocity bipolar outflows observed in planetary nebulae (PNe) and the lower
velocity but higher power bipolar outflows observed in pre-PNe (pPNe) are
kinematically consistent with time dependent accretion onto a white dwarf (WD)
within a depleting envelope. Since the WD primary core is always present in all
post-AGB systems, accretion onto this core is potentially common. Previous work
has focused on core accretion from sub-stellar companions, but low mass stellar
companions may be more important, and further work is needed.


title: Braided-Lie bialgebras associated to Kac-Moody algebras

abstract:
  Braided-Lie bialgebras have been introduced by Majid, as the Lie versions of
Hopf algebras in braided categories. In this paper we extend previous work of
Majid and of ours to show that there is a braided-Lie bialgebra associated to
each inclusion of Kac-Moody bialgebras. Doing so, we obtain many new examples
of infinite-dimensional braided-Lie bialgebras. We analyze further the case of
untwisted affine Kac-Moody bialgebras associated to finite-dimensional simple
Lie algebras. The inclusion we study is that of the finite-type algebra in the
affine algebra. This braided-Lie bialgebra is isomorphic to the current algebra
over the simple Lie algebra, now equipped with a braided cobracket. We give
explicit expressions for this braided cobracket for the simple Lie algebra
$sl_3$.


title:
A sticky business: the status of the conjectured viscosity/entropy
  density bound

abstract:
  There have been a number of forms of a conjecture that there is a universal
lower bound on the ratio, eta/s, of the shear viscosity, eta, to entropy
density, s, with several different domains of validity. We examine the various
forms of the conjecture. We argue that a number of variants of the conjecture
are not viable due to the existence of theoretically consistent
counterexamples. We also note that much of the evidence in favor of a bound
does not apply to the variants which have not yet been ruled out.

categories: hep-th cond-mat.stat-mech hep-ph nucl-th physics.flu-dyn


title: Gravitational waves from black-hole mergers

abstract:
  Coalescing black-hole binaries are expected to be the strongest sources of
gravitational waves for ground-based interferometers as well as the space-based
interferometer LISA. Recent progress in numerical relativity now makes it
possible to calculate the waveforms from the strong-field dynamical merger and
is revolutionizing our understanding of these systems. We review these dramatic
developments, emphasizing applications to issues in gravitational wave
observations. These new capabilities also make possible accurate calculations
of the recoil or kick imparted to the final remnant black hole when the merging
components have unequal masses, or unequal or unaligned spins. We highlight
recent work in this area, focusing on results of interest to astrophysics.


title:
Phase transitions in two-dimensional model colloids in a one-dimensional
  external potential

abstract:
  Two-dimensional melting transitions for model colloids in presence of a
one-dimensional external periodic potential are investigated using Monte Carlo
simulation and Finite Size Scaling techniques. Here we explore a hard disk
system with commensurability ratio $p=\sqrt{3}a_s/(2d)=2$, where $a_s$ is the
mean distance between the disks and $d$ the period of the external potential.
Three phases, the modulate liquid, the locked smectic and the locked floating
solid are observed, in agreement with other experimental and analytical
studies. Various statistical quantities like order parameters, their cumulants
and response functions, are used to obtain a phase diagram for the transitions
between these three phases.


title: A Search for Binary Stars at Low Metallicity

abstract:
  We present initial results measuring the companion fraction of metal-poor
stars ([Fe/H]$<-$2.0). We are employing the Lick Observatory planet-finding
system to make high-precision Doppler observations of these objects. The binary
fraction of metal-poor stars provides important constraints on star formation
in the early Galaxy (Carney et al. 2003). Although it has been shown that a
majority of solar metallicity stars are in binaries, it is not clear if this is
the case for metal-poor stars. Is there a metallicity floor below which binary
systems do not form or become rare? To test this we are determining binary
fractions at metallicities below [Fe/H]$=-2.0$. Our measurments are not as
precise as the planet finders', but we are still finding errors of only 50 to
300 m/s, depending on the signal-to-noise of a spectrum and stellar atmosphere
of the star. At this precision we can be much more complete than previous
studies in our search for stellar companions.


title: Towards a Maximal Mass Model

abstract:
  We investigate the possibility to construct a generalization of the Standard
Model, which we call the Maximal Mass Model because it contains a limiting mass
$M$ for its fundamental constituents. The parameter $M$ is considered as a new
universal physical constant of Nature and therefore is called the fundamental
mass. It is introduced in a purely geometrical way, like the velocity of light
as a maximal velocity in the special relativity. If one chooses the Euclidean
formulation of quantum field theory, the adequate realization of the limiting
mass hypothesis is reduced to the choice of the de Sitter geometry as the
geometry of the 4-momentum space. All fields, defined in de Sitter p-space in
configurational space obey five dimensional Klein-Gordon type equation with
fundamental mass $M$ as a mass parameter. The role of dynamical field variables
is played by the Cauchy initial conditions given at $x_5 = 0$, guarantying the
locality and gauge invariance principles. The corresponding to the geometrical
requirements formulation of the theory of scalar, vector and spinor fields is
considered in some detail. On a simple example it is demonstrated that the
spontaneously symmetry breaking mechanism leads to renormalization of the
fundamental mass $M$. A new geometrical concept of the chirality of the fermion
fields is introduced. It would be responsible for new measurable effects at
high energies $E \geq M$. Interaction terms of a new type, due to the existence
of the Higgs boson are revealed. The most intriguing prediction of the new
approach is the possible existence of exotic fermions with no analogues in the
SM, which may be candidate for dark matter constituents.


title:
Laplacian Spectra as a Diagnostic Tool for Network Structure and
  Dynamics

abstract:
  We examine numerically the three-way relationships among structure, Laplacian
spectra and frequency synchronization dynamics on complex networks. We study
the effects of clustering, degree distribution and a particular type of
coupling asymmetry (input normalization), all of which are known to have
effects on the synchronizability of oscillator networks. We find that these
topological factors produce marked signatures in the Laplacian eigenvalue
distribution and in the localization properties of individual eigenvectors.
Using a set of coordinates based on the Laplacian eigenvectors as a diagnostic
tool for synchronization dynamics, we find that the process of frequency
synchronization can be visualized as a series of quasi-independent transitions
involving different normal modes. Particular features of the partially
synchronized state can be understood in terms of the behavior of particular
modes or groups of modes. For example, there are important partially
synchronized states in which a set of low-lying modes remain unlocked while
those in the main spectral peak are locked. We find therefore that spectra
influence dynamics in ways that go beyond results relating a single threshold
to a single extremal eigenvalue.


title: Continuum driven winds from super-Eddington stars. A tale of two limits

abstract:
  Continuum driving is an effective method to drive a strong stellar wind. It
is governed by two limits: the Eddington limit and the photon-tiring limit. A
star must exceed the effective Eddington limit for continuum driving to
overcome the stellar gravity. The photon-tiring limit places an upper limit on
the mass loss rate that can be driven to infinity, given the energy available
in the radiation field of the star. Since continuum driving does not require
the presence of metals in the stellar atmosphere it is particularly suited to
removing mass from low- and zero-metallicity stars and can play a crucial part
in their evolution. Using a porosity length formalism we compute numerical
simulations of super-Eddington, continuum driven winds to explore their
behaviour for stars both below and above the photon-tiring limit. We find that
below the photon tiring limit, continuum driving can produce a large, steady
mass loss rate at velocities on the order of the escape velocity. If the star
exceeds the photon-tiring limit, a steady solution is no longer possible. While
the effective mass loss rate is still very large, the wind velocity is much
smaller


title: Dyson-Index-Like Behavior of Bures Separability Functions

abstract:
  We conduct a study based on the Bures (minimal monotone) metric, analogous to
that recently reported for the Hilbert-Schmidt (flat or Euclidean) metric
(arXiv:0704.3723v2). Among the interesting results obtained there had been
proportionalities--in exact correspondence to the Dyson indices \beta = 1, 2, 4
of random matrix theory--between the fourth, second and first powers of the
separability functions S_{type}(\mu) for real, complex and quaternionic
qubit-qubit scenarios, Here \mu=\sqrt{\frac{\rho_{11} \rho_{44}}{\rho_{22}
\rho_{33}}}, with \rho being a 4 x 4 density matrix. Separability functions
have proved useful--in the framework of the Bloore (correlation
coefficient/off-diagonal scaling) parameterization of density matrices--for the
calculation of separability probabilities. We find--for certain, basic simple
scenarios (in which the diagonal entries of \rho are unrestricted, and one or
two off-diagonal [real, complex or quaternionic] pairs of entries are nonzero)
--that these proportionalities no longer strictly hold in the Bures case, but
do come remarkably close to holding.


title: Heat Trace Asymptotics on Noncommutative Spaces

abstract:
  This is a mini-review of the heat kernel expansion for generalized Laplacians
on various noncommutative spaces. Applications to the spectral action
principle, renormalization of noncommutative theories and anomalies are also
considered.


title:
Influence of chemical pressure effects on nonlinear thermal conductivity
  of intrinsically granular superconductors

abstract:
  Using a 2D model of capacitively coupled Josephson junction arrays (created
by a network of twin boundary dislocations with strain fields acting as an
insulating barrier between hole-rich domains in underdoped crystals), we study
the influence of chemical pressure on nonlinear thermal conductivity (NLTC) of
an intrinsically granular superconductor. Quite a substantial enhancement of
NLTC is predicted when intrinsic chemoelectric field closely matches the
externally produced thermoelectric field. The estimates of the model parameters
suggest a realistic possibility to experimentally monitor this effect in
non-stoichiometric superconductors.


title: Global properties of indefinite metrics with parallel Weyl tensor

abstract:
  This is an exposition of some recent results on ECS manifolds, by which we
mean pseudo-Riemannian manifolds of dimensions greater than 3 that are neither
conformally flat nor locally symmetric, and have parallel Weyl tensor. All ECS
metrics are indefinite. We state two classification theorems, describing the
local structure of ECS manifolds, and outline an argument showing that compact
ECS manifolds exist in infinitely many dimensions greater than 4. We also
discuss some properties of compact manifolds that admit ECS metrics, and
provide a list of open questions about compact ECS manifolds.


title: Aggregate Dynamics in an Evolutionary Network Model

abstract:
  We analyze a model of interacting agents (e.g. prebiotic chemical species)
which are represended by nodes of a network, whereas their interactions are
mapped onto directed links between these nodes. On a fast time scale, each
agent follows an eigendynamics based on catalytic support from other nodes,
whereas on a much slower time scale the network evolves through selection and
mutation of its nodes-agent. In the first part of the paper, we explain the
dynamics of the model by means of characteristic snapshots of the network
evolution and confirm earlier findings on crashes an recoveries in the network
structure. In the second part, we focus on the aggregate behavior of the
network dynamics. We show that the disruptions in the network structure are
smoothed out, so that the average evolution can be described by a growth regime
followed by a saturation regime, without an initial random regime. For the
saturation regime, we obtain a logarithmic scaling between the average
connectivity per node $\mean{l}_{s}$ and a parameter $m$, describing the
average incoming connectivity, which is independent of the system size $N$.


title: On the quiver of the descent algebra

abstract:
  We study the quiver of the descent algebra of a finite Coxeter group W. The
results include a derivation of the quiver of the descent algebra of types A
and B. Our approach is to study the descent algebra as an algebra constructed
from the reflection arrangement associated to W.


title:
High Rate Single-Symbol Decodable Precoded DSTBCs for Cooperative
  Networks

abstract:
  Distributed Orthogonal Space-Time Block Codes (DOSTBCs) achieving full
diversity order and single-symbol ML decodability have been introduced recently
for cooperative networks and an upper-bound on the maximal rate of such codes
along with code constructions has been presented. In this report, we introduce
a new class of Distributed STBCs called Semi-orthogonal Precoded Distributed
Single-Symbol Decodable STBCs (S-PDSSDC) wherein, the source performs
co-ordinate interleaving of information symbols appropriately before
transmitting it to all the relays. It is shown that DOSTBCs are a special case
of S-PDSSDCs. A special class of S-PDSSDCs having diagonal covariance matrix at
the destination is studied and an upper bound on the maximal rate of such codes
is derived. The bounds obtained are approximately twice larger than that of the
DOSTBCs. A systematic construction of S-PDSSDCs is presented when the number of
relays $K \geq 4$. The constructed codes are shown to achieve the upper-bound
on the rate when $K$ is of the form 0 modulo 4 or 3 modulo 4. For the rest of
the values of $K$, the constructed codes are shown to have rates higher than
that of DOSTBCs. It is also shown that S-PDSSDCs cannot be constructed with any
form of linear processing at the relays when the source doesn't perform
co-ordinate interleaving of the information symbols.


title: Embedding $FD(\omega)$ into $\mathcal{P}_s$ densely

abstract:
  Let $\mathcal{P}_s$ be the lattice of degrees of non-empty $\Pi_1^0$ subsets
of $2^\omega$ under Medvedev reducibility. Binns and Simpson proved that
$FD(\omega)$, the free distributive lattice on countably many generators, is
lattice-embeddable below any non-zero element in $\mathcal{P}_s$. Cenzer and
Hinman proved that $\mathcal{P}_s$ is dense, by adapting the Sacks Preservation
and Sacks Coding Strategies used in the proof of the density of the c.e.\
Turing degrees. With a construction that is a modification of the one by Cenzer
and Hinman, we improve on the result of Binns and Simpson by showing that for
any $\mathcal{U} <_s \mathcal{V}$, we can lattice embed $FD(\omega)$ into
$\mathcal{P}_s$ strictly between $deg_s(\mathcal{U})$ and $deg_s(\mathcal{V)}$.
We also note that, in contrast to the infinite injury in the proof of the Sacks
Density Theorem, in our proof all injury is finite, and that this is also true
for the proof of Cenzer and Hinman, if a straightforward simplification is
made.


title: Equation of state at high densities and modern compact star observations

abstract:
  Recently, observations of compact stars have provided new data of high
accuracy which put strong constraints on the high-density behaviour of the
equation of state of strongly interacting matter otherwise not accessible in
terrestrial laboratories. The evidence for neutron stars with high mass (M =2.1
+/- 0.2 M_sun for PSR J0751+1807) and large radii (R > 12 km for RX J1856-3754)
rules out soft equations of state and has provoked a debate whether the
occurence of quark matter in compact stars can be excluded as well. In this
contribution it is shown that modern quantum field theoretical approaches to
quark matter including color superconductivity and a vector meanfield allow a
microscopic description of hybrid stars which fulfill the new, strong
constraints. The deconfinement transition in the resulting stiff hybrid
equation of state is weakly first order so that signals of it have to be
expected due to specific changes in transport properties governing the
rotational and cooling evolution caused by the color superconductivity of quark
matter. A similar conclusion holds for the investigation of quark deconfinement
in future generations of nucleus-nucleus collision experiments at low
temperatures and high baryon densities such as CBM @ FAIR.


title: A note on the Markoff condition and central words

abstract:
  We define Markoff words as certain factors appearing in bi-infinite words
satisfying the Markoff condition. We prove that these words coincide with
central words, yielding a new characterization of Christoffel words.


title: Reissner-Nordstrom and charged gas spheres

abstract:
  The main point of this paper is a suggestion about the proper treatment of
the photon gas in a theory of stellar structure and other plasmas. This problem
arises in the study of polytropic gas spheres, where we have already introduced
some innovations. The main idea, already advanced in the contextof neutral,
homogeneous, polytropic stellar models, is to base the theory firmly on a
variational principle. Another essential novelty is to let mass distribution
extend to infinity, the boundary between bulk and atmosphere being defined by
an abrupt change in the polytropic index, triggered by the density. The logical
next step in this program is to include the effect of radiation, which is a
very significant complication since a full treatment would have to include an
account of ionization, thus fieldsrepresenting electrons, ions, photons,
gravitons and neutral atoms as well. In way of preparation, we consider models
that are charged but homogeneous, involving only gravity, electromagnetism and
a single scalar field that represents both the mass and the electric charge; in
short, anon-neutral plasma. While this work only represents a stage in the
development of a theory of stars, without direct application to physical
systems, it does shed some light on the meaning of the Reissner-Nordstrom
solution of the modified Einstein-Maxwell equations., with an application to a
simple system.