title: Incomplete noise-induced synchronization of spatially extended systems

abstract:
  A new type of noise-induced synchronous behavior is described. This
phenomenon, called incomplete noise-induced synchronization, arises for
one-dimensional Ginzburg-Landau equations driven by common noise. The
mechanisms resulting in the incomplete noise-induced synchronization in the
spatially extended systems are revealed analytically. The different model noise
are considered. A very good agreement between the theoretical results and the
numerically calculated data is shown.


title: Intrinsic properties of quantum systems

abstract:
  A new realist interpretation of quantum mechanics is introduced. Quantum
systems are shown to have two kinds of properties: the usual ones described by
values of quantum observables, which are called extrinsic, and those that can
be attributed to individual quantum systems without violating standard quantum
mechanics, which are called intrinsic. The intrinsic properties are classified
into structural and conditional. A systematic and self-consistent account is
given. Much more statements become meaningful than any version of Copenhagen
interpretation would allow. A new approach to classical properties, quantum
cosmology and measurement problem is suggested. A quantum definition of
classical states is proposed.


title: Smectic-A Free Standing Film of Lennard-Jones Spherocylinder Model

abstract:
  A spherocylinder-like molecule with a Lennard-Jones type interaction is
proposed as a model of smectic-A (Sm-A) liquid crystals, which can form a
free-standing film. By means of Gibbs ensemble simulations, the isotropic,
nematic, and Sm-A phases of the model fluid are found to coexist with a vapor
phase; and the coexistence conditions of the liquid crystal phases with the
vapor phase are determined. For a set of the interaction-parameters of the
model molecule, the Sm-A free-standing film is produced below the bulk
isotropic--Sm-A phase transition temperature by using Monte Carlo simulations.
The film tension of the Sm-A free-standing film is calculated and its
dependencies on the temperature and on the number of molecules are discussed.


title:
Non-autonomous stochastic evolution equations and applications to
  stochastic partial differential equations

abstract:
  In this paper we study the following non-autonomous stochastic evolution
equation on a UMD Banach space $E$ with type 2,
  {equation}\label{eq:SEab}\tag{SE} {{aligned} dU(t) & = (A(t)U(t) + F(t,U(t)))
dt + B(t,U(t)) dW_H(t), \quad t\in [0,T],
  U(0) & = u_0. {aligned}. {equation}
  Here $(A(t))_{t\in [0,T]}$ are unbounded operators with domains
$(D(A(t)))_{t\in [0,T]}$ which may be time dependent. We assume that
$(A(t))_{t\in [0,T]}$ satisfies the conditions of Acquistapace and Terreni. The
functions $F$ and $B$ are nonlinear functions defined on certain interpolation
spaces and $u_0\in E$ is the initial value. $W_H$ is a cylindrical Brownian
motion on a separable Hilbert space $H$.
  Under Lipschitz and linear growth conditions we show that there exists a
unique mild solution of \eqref{eq:SEab}. Under assumptions on the interpolation
spaces we extend the factorization method of Da Prato, Kwapie\'n, and Zabczyk,
to obtain space-time regularity results for the solution $U$ of
\eqref{eq:SEab}. For Hilbert spaces $E$ we obtain a maximal regularity result.
The results improve several previous results from the literature.
  The theory is applied to a second order stochastic partial differential
equation which has been studied by Sanz-Sol\'e and Vuillermot. This leads to
several improvements of their result.


title: Exact solution of a stochastic SIR model

abstract:
  The susceptible-infectious-recovered (SIR) model describes the evolution of
three species of individuals which are subject to an infection and recovery
mechanism. A susceptible $S$ can become infectious with an infection rate
$\beta$ by an infectious $I$- type provided that both are in contact. The $I$-
type may recover with a rate $\gamma$ and from then on stay immune. Due to the
coupling between the different individuals, the model is nonlinear and out of
equilibrium. We adopt a stochastic individual-based description where
individuals are represented by nodes of a graph and contact is defined by the
links of the graph. Mapping the underlying Master equation into a quantum
formulation in terms of spin operators, the hierarchy of evolution equations
can be solved exactly for arbitrary initial conditions on a linear chain. In
case of uncorrelated random initial conditions the exact time evolution for all
three individuals of the SIR model is given analytically. Depending on the
initial conditions and reaction rates $\beta$ and $\gamma$, the $I$-population
may increase initially before decaying to zero. Due to fluctuations, isolated
regions of susceptible individuals evolve and unlike in the standard mean-field
SIR model one observes a finite stationary distribution of the $S$-type even
for large population size. The exact results for the ensemble averaged
population size are compared with simulations for single realizations of the
process and also with standard mean field theory which is expected to be valid
on large fully-connected graphs.


title: Probability and Statistics: Essays in Honor of David A. Freedman

abstract:
  This volume is our tribute to David A. Freedman, whom we regard as one of the
great statisticians of our time. He received his B.Sc. degree from McGill
University and his Ph.D. from Princeton, and joined the Department of
Statistics of the University of California, Berkeley, in 1962, where, apart
from sabbaticals, he has been ever since. In a career of over 45 years, David
has made many fine contributions to probability and statistical theory, and to
the application of statistics. His early research was on Markov chains and
martingales, and two topics with which he has had a lifelong fascination:
exchangeability and De Finetti's theorem, and the consistency of Bayes
estimates. His asymptotic theory for the bootstrap was also highly influential.
David was elected to the American Academy of Arts and Sciences in 1991, and in
2003 he received the John J. Carty Award for the Advancement of Science from
the U.S. National Academy of Sciences. In addition to his purely academic
research, David has extensive experience as a consultant, including working for
the Carnegie Commission, the City of San Francisco, and the Federal Reserve, as
well as several Departments of the U.S. Government--Energy, Treasury, Justice,
and Commerce. He has testified as an expert witness on statistics in a number
of law cases, including Piva v. Xerox (employment discrimination), Garza v.
County of Los Angeles (voting rights), and New York v. Department of Commerce
(census adjustment). Lastly, he is an exceptionally good writer and teacher,
and his many books and review articles are arguably his most important
contribution to our subject.


title:
Quasi-elastic scattering and fusion with a modified Woods-Saxon
  potential

abstract:
  The elastic and large-angle quasi-elastic scattering reactions were studied
with the same nucleus-nucleus potential proposed for describing fusion
reactions. The elastic scattering angle distributions of some reactions are
reasonably well reproduced by the proposed Woods-Saxon potential with fixed
parameters at energies much higher than the Coulomb barrier. With an empirical
barrier distribution based on the modified Woods-Saxon potential and taking
into account the influence of nucleons transfer, the calculated quasi-elastic
scattering cross sections of a series of reactions are in good agreement with
the experimental data.


title:
Investigation of 74As decay branching ratio dependence on the host
  material

abstract:
  The branching ratio between the beta- and beta+/electron capture decay of
74As has been measured in different host materials such as Ta, Al, Ge and
mylar. No significant dependence of the branching ratio on the host material
has been observed. The half-life of 74As has also been measured in metallic Ta
and in semiconductor Ge, no difference has been found and the results are in
agreement with the literature value. The obtained results provide an upper
limit for the possible host material dependence of the decay rate in 74As.


title:
Mean encounter times for cell adhesion in hydrodynamic flow: analytical
  progress by dimensional reduction

abstract:
  For a cell moving in hydrodynamic flow above a wall, translational and
rotational degrees of freedom are coupled by the Stokes equation. In addition,
there is a close coupling of convection and diffusion due to the
position-dependent mobility. These couplings render calculation of the mean
encounter time between cell surface receptors and ligands on the substrate very
difficult. Here we show for a two-dimensional model system how analytical
progress can be achieved by treating motion in the vertical direction by an
effective reaction term in the mean first passage time equation for the
rotational degree of freedom. The strength of this reaction term can either be
estimated from equilibrium considerations or used as a fit parameter. Our
analytical results are confirmed by computer simulations and allow to assess
the relative roles of convection and diffusion for different scaling regimes of
interest.


title:
Pushing the Limits of Contemporary Statistics: Contributions in Honor of
  Jayanta K. Ghosh

abstract:
  Jayanta Kumar Ghosh is one of the most extraordinary professors in the field
of Statistics. His research in numerous areas, especially asymptotics, has been
groundbreaking, influential throughout the world, and widely recognized through
awards and other honors. His leadership in Statistics as Director of the Indian
Statistical Institute and President of the International Statistical Institute,
among other eminent positions, has been likewise outstanding. In recognition of
Jayanta's enormous impact, this volume is an effort to honor him by drawing
together contributions to the main areas in which he has worked and continues
to work. The papers naturally fall into five categories. First, sequential
estimation was Jayanta's starting point. Thus, beginning with that topic, there
are two papers, one classical by Hall and Ding leading to a variant on
p-values, and one Bayesian by Berger and Sun extending reference priors to
stopping time problems. Second, there are five papers in the general area of
prior specification. Much of Jayanta's earlier work involved group families as
does Sweeting's paper here for instance. There are also two papers dwelling on
the link between fuzzy sets and priors, by Meeden and by Delampady and Angers.
Equally daring is the work by Mukerjee with data dependent priors and the
pleasing confluence of several prior selection criteria found by Ghosh, Santra
and Kim. Jayanta himself studied a variety of prior selection criteria
including probability matching priors and reference priors.


title: M-curves of degree 9 with three nests

abstract:
  The first part of Hilbert's sixteenth problem deals with the classification
of the isotopy types realizable by real plane algebraic curves of a given
degree $m$. For $m = 9$, the classification of the $M$-curves is still wide
open. Let $C_9$ be an $M$-curve of degree 9 and $O$ be a non-empty oval of
$C_9$. If $O$ contains in its interior $\alpha$ ovals that are all empty, we
say that $O$ together with these $\alpha$ ovals forms a nest. The present paper
deals with the $M$-curves with three nests. Let $\alpha_i, i = 1, 2, 3$ be the
numbers of empty ovals in each nest. We prove that at least one of the
$\alpha_i$ is odd. This is a step towards a conjecture of A. Korchagin,
claiming that at least two of the $\alpha_i$ should be odd.


title:
Numerical simulation of BSDEs using empirical regression methods: theory
  and practice

abstract:
  This article deals with the numerical resolution of backward stochastic
differential equations. Firstly, we consider a rather general case where the
filtration is generated by a Brownian motion and a Poisson random measure. We
provide a simulation algorithm based on iterative regressions on function
bases, which coefficients are evaluated using Monte Carlo simulations. We state
fully explicit error bounds. Secondly, restricting to the case of a Brownian
filtration, we consider reflected BSDEs and adapt the previous algorithm to
that situation. The complexity of the algorithm is very competitive and allows
us to treat numerical results in dimension 10.


title: Network Synthesis of Linear Dynamical Quantum Stochastic Systems

abstract:
  The purpose of this paper is to develop a synthesis theory for linear
dynamical quantum stochastic systems that are encountered in linear quantum
optics and in phenomenological models of linear quantum circuits. In
particular, such a theory will enable the systematic realization of
coherent/fully quantum linear stochastic controllers for quantum control,
amongst other potential applications. We show how general linear dynamical
quantum stochastic systems can be constructed by assembling an appropriate
interconnection of one degree of freedom open quantum harmonic oscillators and,
in the quantum optics setting, discuss how such a network of oscillators can be
approximately synthesized or implemented in a systematic way from some linear
and non-linear quantum optical elements. An example is also provided to
illustrate the theory.


title:
Impact of road mitigation measures on amphibian populations: A
  stage-class population mathematical model

abstract:
  It is now well established that amphibians are suffering widespread decline
and extinctions. Among other causes, urbanization is responsible for habitat
reduction, habitat fragmentation and massive road kills. In this context, it is
urgent to develop and assess appropriate conservation measures. Using yearly
censuses of migrating adults of two anuran species at one location in
Switzerland, we examined the impact of a road mitigation measure - permanent
under-road tunnels with guiding trenches - along a road separating wintering
forests from breeding wetlands. We observe that the adult migrating populations
do not exhibit any long-term trend but undergo a transient increase a few years
after the installation of the road mitigation measure. Using additional
datasets like climatic data and censuses obtained in a control area, we show
that the observed pattern of migrating populations cannot be explained by any
other data at our disposal. We then checked as a working hypothesis whether the
installation of under-road tunnels could explain the observed transient or not.
To this end, we use a simple population model and show that the road mitigation
measure together with competition for resources can successfully explain the
experimental observations. We conclude by discussing the requirements for
further assessment of this hypothesis as well as consequences for conservation
planners.


title:
Magnetoresistance oscillations and relaxation effects at the
  SrTiO3-LaAlO3 interface

abstract:
  We present low-temperature and high-field magnetotransport data on
SrTiO3-LaAlO3 interfaces. The resistance shows hysteresis in magnetic field and
a logarithmic relaxation as a function of time. Oscillations in the
magnetoresistance are observed, showing a square root periodicity in the
applied magnetic field, both in large-area unstructured samples as well as in a
structured sample. An explanation in terms of a commensurability condition of
edge states in a highly mobile two-dimensional electron gas between substrate
step edges is suggested.


title:
Counteracting Byzantine Adversaries with Network Coding: An Overhead
  Analysis

abstract:
  Network coding increases throughput and is robust against failures and
erasures. However, since it allows mixing of information within the network, a
single corrupted packet generated by a Byzantine attacker can easily
contaminate the information to multiple destinations.
  In this paper, we study the transmission overhead associated with three
different schemes for detecting Byzantine adversaries at a node using network
coding: end-to-end error correction, packet-based Byzantine detection scheme,
and generation-based Byzantine detection scheme. In end-to-end error
correction, it is known that we can correct up to the min-cut between the
source and destinations. However, if we use Byzantine detection schemes, we can
detect polluted data, drop them, and therefore, only transmit valid data. For
the dropped data, the destinations perform erasure correction, which is
computationally lighter than error correction. We show that, with enough
attackers present in the network, Byzantine detection schemes may improve the
throughput of the network since we choose to forward only reliable information.
When the probability of attack is high, a packet-based detection scheme is the
most bandwidth efficient; however, when the probability of attack is low, the
overhead involved with signing each packet becomes costly, and the
generation-based scheme may be preferred. Finally, we characterize the tradeoff
between generation size and overhead of detection in bits as the probability of
attack increases in the network.


title: Thermodynamics of Gauss-Bonnet black holes revisited

abstract:
  We investigate the Gauss-Bonnet black hole in five dimensional anti-de Sitter
spacetimes (GBAdS). We analyze all thermodynamic quantities of the GBAdS, which
is characterized by the Gauss-Bonnet coupling $c$ and mass $M$, comparing with
those of the Born-Infeld-AdS (BIAdS), Reissner-Norstr\"om-AdS black holes
(RNAdS), Schwarzschild-AdS (SAdS), and BTZ black holes. For $c<0$ we cannot
obtain the black hole with positively definite thermodynamic quantities of
mass, temperature, and entropy because the entropy does not satisfy the
area-law. On the other hand, for $c>0$, we find the BIAdS-like black hole,
showing that the coupling $c$ plays the role of pseudo-charge. Importantly, we
could not obtain the SAdS in the limits of $c\to 0$, which means that the GBAdS
is basically different from the SAdS. In addition, we clarify the connections
between thermodynamic and dynamical stability. Finally, we also conjecture that
if a black hole is big and thus globally stable, its quasinormal modes may take
analytic expressions.


title:
Variable stars in the Fornax dSph Galaxy. II. Pulsating stars below the
  horizontal branch

abstract:
  We have carried out an intensive survey of the northern region of the Fornax
dwarf spheroidal galaxy with the aim of detecting the galaxy's short--period
pulsating stars (P<0.25 days). Observations collected over three consecutive
nights with the Wide Field Imager of the 2.2m MPI telescope at ESO allowed us
to detect 85 high-amplitude (0.20-1.00 mag in B-light) variable stars with
periods in the range from 0.046 to 0.126 days, similar to SX Phoenicis stars in
Galactic metal-poor stellar populations. The plots of the observed periods vs.
the B and V magnitudes show a dispersion largely exceeding the observational
errors. To disentangle the matter, we separated the first-overtone from the
fundamental-mode pulsators and tentatively identified a group of subluminous
variables, about 0.35 mag fainter than the others. Their nature as either
metal-poor intermediate-age stars or stars formed by the merging of close
binary systems is discussed. The rich sample of the Fornax variables also led
us to reconstruct the Period-Luminosity relation for short-period pulsating
stars. An excellent linear fit, M(V)=-1.83(+/-0.08)-3.65(+/-0.07) log P(fund),
was obtained using 153 Delta Scuti and SX Phoenicis stars in a number of
different stellar systems.


title: Are there field-free gaps near tau=1 in sunspot penumbrae?

abstract:
  The vertical stratification of the magnetic field strength in sunspot
penumbrae is investigated by means of spectropolarimetric observations at high
spatial resolution from the Hinode spacecraft. Assuming that the magnetic field
changes linearly with optical depth we find that, in those regions where the
magnetic field is more inclined and the Evershed flow is strongest (penumbral
intraspines), the magnetic field can either increase or decrease with depth.
Allowing more degrees of freedom to the magnetic field stratification reveals
that the magnetic field initially decreases from \log\tau_5 = -3 until
\log\tau_5 \simeq -1.0, but increases again below that. The presence of strong
magnetic fields near the continuum is at odds with the existence of regions
void of magnetic fields at, or right below, the \tau_5=1 level in the penumbra.
However, they are compatible with the presence of a horizontal flux-tube-like
field embedded in a magnetic atmosphere.


title: Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model

abstract:
  The adiabatic quantum evolution of the Lipkin-Meshkov-Glick (LMG) model
across its quantum critical point is studied. The dynamics is realized by
linearly switching the transverse field from an initial large value towards
zero and considering different transition rates. We concentrate our attention
on the residual energy after the quench in order to estimate the level of
diabaticity of the evolution. We discuss a Landau-Zener approximation of the
finite size LMG model, that is successful in reproducing the behavior of the
residual energy as function of the transition rate in the most part of the
regimes considered. We also support our description through the analysis of the
entanglement entropy of the evolved state. The system proposed is a paradigm of
infinite-range interaction or high-dimensional models.


title: White Dwarfs in Globular Clusters

abstract:
  We review empirical and theoretical findings concerning white dwarfs in
Galactic globular clusters. Since their detection is a critical issue we
describe in detail the various efforts to find white dwarfs in globular
clusters. We then outline the advantages of using cluster white dwarfs to
investigate the formation and evolution of white dwarfs and concentrate on
evolutionary channels that appear to be unique to globular clusters. We also
discuss the usefulness of globular cluster white dwarfs to provide independent
information on the distances and ages of globular clusters, information that is
very important far beyond the immediate field of white dwarf research. Finally,
we mention possible future avenues concerning globular cluster white dwarfs,
like the study of strange quark matter or plasma neutrinos.


title:
Soft swimming: Exploiting deformable interfaces for low-Reynolds number
  locomotion

abstract:
  Reciprocal movement cannot be used for locomotion at low-Reynolds number in
an infinite fluid or near a rigid surface. Here we show that this limitation is
relaxed for a body performing reciprocal motions near a deformable interface.
Using physical arguments and scaling relationships, we show that the
nonlinearities arising from reciprocal flow-induced interfacial deformation
rectify the periodic motion of the swimmer, leading to locomotion. Such a
strategy can be used to move toward, away from, and parallel to any deformable
interface as long as the length scales involved are smaller than intrinsic
scales, which we identify. A macro-scale experiment of flapping motion near a
free surface illustrates this new result.


title: On the validity of the LAD and LL classical radiation-reaction equations

abstract:
  The search of the correct equation of motion for a classical charged particle
under the action of its electromagnetic (EM) self-field, the so-called
\textit{radiation-reaction equation of motion}, remains elusive to date. In
this paper we intend to point out why this is so. The discussion is based on
the direct construction of the EM self-potentials produced by a charged
spherical particle under the action of an external EM force. In particular we
intend to analyze basic features of the LAD (Lorentz-Abraham-Dirac) and the LL
(Landau-Lifschitz) equations. Both are shown to lead to incorrect or incomplete
results.


title: Plane symmetric thin-shell wormholes: solutions and stability

abstract:
  Using the cut-and-paste procedure, we construct static and dynamic plane
symmetric wormholes by surgically grafting together two spacetimes of plane
symmetric vacuum solutions with a negative cosmological constant. These plane
symmetric wormholes may be viewed as domain walls connecting different
universes, having planar topology, and upon compactification of one or two
coordinates, cylindrical topology or toroidal topology, respectively. A
stability analysis is carried out for the dynamic case by taking into account
specific equations of state, and a linearized stability analysis around static
solutions is also explored. It is found that thin shell wormholes made of a
dark energy fluid or of a cosmological constant fluid are stable, while thin
shell wormholes made of phantom energy are unstable.


title:
Density Dependence of Transport Coefficients from Holographic
  Hydrodynamics

abstract:
  We study the transport coefficients of Quark-Gluon-Plasma in finite
temperature and finite baryon density. We use AdS/QCD of charged AdS black hole
background with bulk-filling branes identifying the U(1) charge as the baryon
number. We calculate the diffusion constant, the shear viscosity and the
thermal conductivity to plot their density and temperature dependences.
Hydrodynamic relations between those are shown to hold exactly. The diffusion
constant and the shear viscosity are decreasing as a function of density for
fixed total energy. For fixed temperature, the fluid becomes less diffusible
and more viscous for larger baryon density.


title: Effect of fermionic components on trion-electron scattering

abstract:
  To test the validity of replacing a composite fermion by an elementary
fermion, we here calculate the transition rate from a state made of one free
electron and one trion to a similar electron-trion pair, through the time
evolution of such a pair induced by Coulomb interaction between elementary
fermions. To do it in a convenient way, we describe the trion as one electron
interacting with one exciton, and we use the tools we have developed in the new
composite-exciton many-body theory. The trion-electron scattering contains a
direct channel in which ``in'' and ``out'' trions are made with the same
fermions, and an exchange channel in which the ``in'' free electron becomes one
of the ``out'' trion components. As expected, momenta are conserved in these
two channels. The direct scattering is found to read as the bare Coulomb
potential between elementary particles multiplied by a form factor which
depends on the ``in'' and ``out'' trion relative motion indices $\eta$ and
$\eta'$, this factor reducing to $\delta_{\eta\eta'}$ in the zero momentum
transfer limit: In this direct channel, the trion at large distance reacts as
an elementary particle, its composite nature showing up for large momentum
transfer. On the contrary, the fact that the trion is not elementary does
affect the exchange channel for all momentum transfers. We thus conclude that a
3-component fermion behaves as an elementary fermion for direct processes in
the small momentum transfer limit only.


title:
Diffusion Waves in Sub-Quantum Thermodynamics: Resolution of Einstein's
  'Particle-in-a-box' Objection

abstract:
  Einstein's objection against both the completeness claim of the orthodox
version and the Bohmian interpretation of quantum theory, using the example of
a 'particle in a box', is reiterated and resolved. This is done by proving that
the corresponding quantum mechanical states exactly match classical analogues.
The latter are shown to result from the recently elaborated physics of
diffusion waves.


title:
Comparing the performance of stellar variability filters for the
  detection of planetary transits

abstract:
  We have developed a new method to improve the transit detection of
Earth-sized planets in front of solar-like stars by fitting stellar
microvariability by means of a spot model. A large Monte Carlo numerical
experiment has been designed to test the performance of our approach in
comparison with other variability filters and fitting techniques for stars of
different magnitudes and planets of different radius and orbital period, as
observed by the space missions CoRoT and Kepler. Here we report on the results
of this experiment.


title:
Magnetic incommensurability and fluctuating charge density waves in the
  repulsive Hubbard model

abstract:
  Magnetic and charge susceptibilities of the two-dimensional repulsive Hubbard
model are investigated applying a strong coupling diagram technique in which
the expansion in powers of the hopping constants is used. For small lattices
and high temperatures results are in agreement with Monte Carlo simulations.
With the departure from half-filling $x$ the low-frequency magnetic
susceptibility becomes incommensurate and the incommensurability parameter
grows with $x$. The incommensurability, its dependence on frequency and on $x$
resemble experimental results in lanthanum cuprates. Also for finite $x$ sharp
maxima appear in the static charge susceptibility. The maxima are finite which
points to the absence of the long-range charge ordering (static stripes).
However, for $x\approx 0.12$ the maxima are located near the momenta
$(0,\pm\pi/2)$, $(\pm\pi/2,0)$. In this case an interaction of carriers with
tetragonal distortions can stabilize stripes with the wavelength of four
lattice spacings, as observed in the low-temperature tetragonal phase of
cuprates. As follows from the obtained results, the magnetic incommensurability
is not a consequence of the stripes.


title:
The Chemical Enrichment History of the Small Magellanic Cloud and Its
  Gradients

abstract:
  We present stellar metallicities derived from Ca II triplet spectroscopy in
over 350 red giant branch stars in 13 fields distributed in different positions
in the SMC, ranging from $\sim$1\arcdeg\@ to $\sim$4\arcdeg\@ from its center.
In the innermost fields the average metallicity is [Fe/H] $\sim -1$. This value
decreases when we move away towards outermost regions. This is the first
detection of a metallicity gradient in this galaxy. We show that the
metallicity gradient is related to an age gradient, in the sense that more
metal-rich stars, which are also younger, are concentrated in the central
regions of the galaxy.


title: Klein - Gordon equation for market wealth operations

abstract:
  In this paper the modified Klein - Gordon equation for market processes is
proposed and solved. It is argued that the oscillations in market propagate
with the light velocity. The initial pulse in the market is damped and for very
large time diffused according to the Fourier law.


title: Search for B0 -> K*+ K*-

abstract:
  We report the results of a search for the decay B0 -> K*+ K*- with a sample
of 454 +/- 5 million BBbar pairs collected with the BaBar detector at the
PEP-II asymmetric-energy e+e- collider at the Stanford Linear Accelerator
Center. We obtain an upper limit at the 90% confidence level on the branching
fraction for Br(B0 -> K*+ K*-) < 2.0 x 10^{-6}, assuming the decay is fully
longitudinally polarized.


title:
On Ergodic Sum Capacity of Fading Cognitive Multiple-Access and
  Broadcast Channels

abstract:
  This paper studies the information-theoretic limits of a secondary or
cognitive radio (CR) network under spectrum sharing with an existing primary
radio network. In particular, the fading cognitive multiple-access channel
(C-MAC) is first studied, where multiple secondary users transmit to the
secondary base station (BS) under both individual transmit-power constraints
and a set of interference-power constraints each applied at one of the primary
receivers. This paper considers the long-term (LT) or the short-term (ST)
transmit-power constraint over the fading states at each secondary transmitter,
combined with the LT or ST interference-power constraint at each primary
receiver. In each case, the optimal power allocation scheme is derived for the
secondary users to achieve the ergodic sum capacity of the fading C-MAC, as
well as the conditions for the optimality of the dynamic
time-division-multiple-access (D-TDMA) scheme in the secondary network. The
fading cognitive broadcast channel (C-BC) that models the downlink transmission
in the secondary network is then studied under the LT/ST transmit-power
constraint at the secondary BS jointly with the LT/ST interference-power
constraint at each of the primary receivers. It is shown that D-TDMA is indeed
optimal for achieving the ergodic sum capacity of the fading C-BC for all
combinations of transmit-power and interference-power constraints.


title: Trees of definable sets over the p-adics

abstract:
  To a definable subset of Z_p^n (or to a scheme of finite type over Z_p) one
can associate a tree in a natural way. It is known that the corresponding
Poincare series P(X) = \sum_i N_i X^i is rational, where N_i is the number of
nodes of the tree at depth i. This suggests that the trees themselves are far
from arbitrary. We state a conjectural, purely combinatorial description of the
class of possible trees and provide some evidence for it. We verify that any
tree in our class indeed arises from a definable set, and we prove that the
tree of a definable set (or of a scheme) lies in our class in three special
cases: under weak smoothness assumptions, for definable subsets of Z_p^2, and
for one-dimensional sets.


title:
On generating relative and absolute invariants of linear differential
  equations

abstract:
  A general expression for a relative invariant of a linear ordinary
differential equations is given in terms of the fundamental semi-invariant and
an absolute invariant. This result is used to established a number of
properties of relative invariants, and it is explicitly shown how to generate
fundamental sets of relative and absolute invariants of all orders for the
general linear equation. Explicit constructions are made for the linear ODE of
order five. The approach used for the explicit determination of invariants is
based on an infinitesimal method.


title: On Positive Integers Represented as Arithmetic Series

abstract:
  The aim of the present article is to explore the possibilities of
representing positive integers as sums of other positive integers and highlight
certain fundamental connections between their multiplicative and additive
properties. In particular, we shall be concerned with the representation of
positive integers as arithmetic series of the simplest kind, i.e., either as
sums of successive odd positive numbers, or as sums of successive even positive
numbers (both treated as Problem 1), or as sums of consecutive positive
integers (treated as Problem 2).


title: Properties of Classical and Quantum Jensen-Shannon Divergence

abstract:
  Jensen-Shannon divergence (JD) is a symmetrized and smoothed version of the
most important divergence measure of information theory, Kullback divergence.
As opposed to Kullback divergence it determines in a very direct way a metric;
indeed, it is the square of a metric. We consider a family of divergence
measures (JD_alpha for alpha>0), the Jensen divergences of order alpha, which
generalize JD as JD_1=JD. Using a result of Schoenberg, we prove that JD_alpha
is the square of a metric for alpha lies in the interval (0,2], and that the
resulting metric space of probability distributions can be isometrically
embedded in a real Hilbert space. Quantum Jensen-Shannon divergence (QJD) is a
symmetrized and smoothed version of quantum relative entropy and can be
extended to a family of quantum Jensen divergences of order alpha (QJD_alpha).
We strengthen results by Lamberti et al. by proving that for qubits and pure
states, QJD_alpha^1/2 is a metric space which can be isometrically embedded in
a real Hilbert space when alpha lies in the interval (0,2]. In analogy with
Burbea and Rao's generalization of JD, we also define general QJD by
associating a Jensen-type quantity to any weighted family of states.
Appropriate interpretations of quantities introduced are discussed and bounds
are derived in terms of the total variation and trace distance.


title: Simultaneous packing and covering in sequence spaces

abstract:
  We adapt a construction of Klee (1981) to find a packing of unit balls in
$\ell_p$ ($1\leq p<\infty$) which is efficient in the sense that enlarging the
radius of each ball to any $R>2^{1-1/p}$ covers the whole space. We show that
the value $2^{1-1/p}$ is optimal.


title: Echelle long-slit optical spectroscopy of evolved stars

abstract:
  We present echelle long-slit optical spectra of a sample of objects evolving
off the AGB, most of them in the pre-planetary nebula (pPN) phase, obtained
with the ESI and MIKE spectrographs at Keck-II and Magellan-I, respectively.
The total wavelength range covered with ESI (MIKE) is ~3900 to 10900 A (~3600
to 7200A). In this paper, we focus our analysis mainly on the Halpha profiles.
Prominent Halpha emission is detected in half of the objects, most of which
show broad Halpha wings (up to ~4000 km/s). In the majority of the
Halpha-emission sources, fast, post-AGB winds are revealed by P-Cygni profiles.
In ~37% of the objects Halpha is observed in absorption. In almost all cases,
the absorption profile is partially filled with emission, leading to complex,
structured profiles that are interpreted as an indication of incipient post-AGB
mass-loss. All sources in which Halpha is seen mainly in absorption have F-G
type central stars, whereas sources with intense Halpha emission span a larger
range of spectral types from O to G. Shocks may be an important excitation
agent of the close stellar surroundings for objects with late type central
stars. Sources with pure emission or P Cygni Halpha profiles have larger J-K
color excess than objects with Halpha mainly in absorption, which suggests the
presence of warm dust near the star in the former. The two classes of profile
sources also segregate in the IRAS color-color diagram in a way that intense
Halpha-emitters have dust grains with a larger range of temperatures.
(abridged)


title: Andreev reflection in graphene nanoribbons

abstract:
  We study Andreev reflection in graphene nanoribbon/superconductor hybrid
junctions. By using a tight-binding approach and the scattering formalism we
show that finite-size effects lead to notable differences with respect to the
bulk graphene case. At subgap voltages, conservation of pseudoparity, a quantum
number characterizing the ribbon states, yields either a suppression of Andreev
reflection when the ribbon has an even number of sites in the transverse
direction or perfect Andreev reflection when the ribbon has an odd number of
sites. In the former case the suppression of Andreev reflection induces an
insulating behavior even when the junction is biased; electron conduction can
however be restored by applying a gate voltage.


title:
Can We Make a Bohmian Electron Reach the Speed of Light, at Least for
  One Instant?

abstract:
  In Bohmian mechanics, a version of quantum mechanics that ascribes world
lines to electrons, we can meaningfully ask about an electron's instantaneous
speed relative to a given inertial frame. Interestingly, according to the
relativistic version of Bohmian mechanics using the Dirac equation, a massive
particle's speed is less than or equal to the speed of light, but not
necessarily less. That is, there are situations in which the particle actually
reaches the speed of light---a very non-classical behavior. That leads us to
the question of whether such situations can be arranged experimentally. We
prove a theorem, Theorem 5, implying that for generic initial wave functions
the probability that the particle ever reaches the speed of light, even if at
only one point in time, is zero. We conclude that the answer to the question is
no. Since a trajectory reaches the speed of light whenever the quantum
probability current psi-bar gamma^mu psi is a lightlike 4-vector, our analysis
concerns the current vector field of a generic wave function and may thus be of
interest also independently of Bohmian mechanics. The fact that the current is
never spacelike has been used to argue against the possibility of
faster-than-light tunnelling through a barrier, a somewhat similar question.
Theorem 5, as well as a more general version provided by Theorem 6, are also
interesting in their own right. They concern a certain property of a function
psi: R^4 --> C^4 that is crucial to the question of reaching the speed of
light, namely being transverse to a certain submanifold of C^4 along a given
compact subset of space-time. While it follows from the known transversality
theorem of differential topology that this property is generic among smooth
functions psi: R^4 --> C^4, Theorem 5 asserts that it is also generic among
smooth solutions of the Dirac equation.


title:
Polarization degrees of freedom in near-threshold photoproduction of
  omega mesons in the pi^0 gamma decay channel

abstract:
  We study polarization variables in the photoproduction of omega-mesons with
subsequent omega to gamma pi^0 decay. Single and double polarization
observables are calculated as a function of different final-state angles.
Reaction models include pomeron (natural parity) and pi^0 (unnatural parity)
exchange in the t-channel. In addition, the contribution of s-channel
resonances is considered. The sensitivity of the polarization observables to
the reaction dynamics is discussed.


title:
Sharp asymptotics for metastability in the random field Curie-Weiss
  model

abstract:
  In this paper we study the metastable behavior of one of the simplest
disordered spin system, the random field Curie-Weiss model. We will show how
the potential theoretic approach can be used to prove sharp estimates on
capacities and metastable exit times also in the case when the distribution of
the random field is continuous. Previous work was restricted to the case when
the random field takes only finitely many values, which allowed the reduction
to a finite dimensional problem using lumping techniques. Here we produce the
first genuine sharp estimates in a context where entropy is important.


title: Mean-field Model beyond Boltzmann-Enskog Picture for Dense Gases

abstract:
  I propose an extension to Boltzmann BGK equation for Hard Spheres. The
present model has an $H$-theorem and it allows choice of Prandtl number as an
independent parameter. I show that similar to Enskog equation this equation can
reproduce dynamics of hard spheres in dense systems.


title:
Spin-flip scattering in time-dependent transport through a quantum dot:
  Enhanced spin-current and inverse tunneling magnetoresistance

abstract:
  We study the effects of spin-flip scatterings on the time-dependent transport
properties through a magnetic quantum dot attached to normal and ferromagnetic
leads. The transient spin-dynamics as well as the steady-state tunneling
magnetoresistance (TMR) of the system are investigated. The absence of a
definite spin quantization axis requires the time-propagation of two-component
spinors. We present numerical results in which the electrodes are treated both
as one-dimensional tight-binding wires and in the wide-band limit
approximation. In the latter case we derive a transparent analytic formula for
the spin-resolved current, and transient oscillations damped over different
time-scales are identified. We also find a novel regime for the TMR inversion.
For any given strength of the spin-flip coupling the TMR becomes negative
provided the ferromagnetic polarization is larger than some critical value.
Finally we show how the full knowledge of the transient response allows for
enhancing the spin-current by properly tuning the period of a pulsed bias.


title:
Hubble's Cosmology: From a Finite Expanding Universe to a Static Endless
  Universe

abstract:
  We analyze Hubble's approach to cosmology. In 1929 he accepted a finite
expanding universe in order to explain the redshifts of distant galaxies. Later
on he turned to an infinite stationary universe due to observational
constraints. We show, by quoting his works, that he remained cautiously against
the big bang until the end of his life.


title: Squeezed States and Affleck Dine Baryogenesis

abstract:
  Quantum fluctuations in the post inflationary Affleck-Dine baryogenesis model
are studied. The squeezed states formalism is used to give evolution equations
for the particle and anti-particle modes in the early universe. The role of
expansion and parametric amplification of the quantum fluctuations on the
baryon asymmetry produced is investigated.


title: Future use of silicon photomultiplier for KAOS at MAMI and PANDA at FAIR

abstract:
  A characterisation of scintillating fibres with silicon photomultiplier
read-out was performed in view of their possible application in fibre tracking
detector systems. Such a concept is being considered for the Kaos spectrometer
at the Mainz Microtron MAMI and as a time-of-flight start detector for the
hypernuclear physics programme at the PANDA experiment of the FAIR project.
Results on particle detection effciency and time resolution are discussed. In
summary, the silicon devices are very suitable for the detection of the low
light yield from scintillating fibres insofar a trigger scheme is found to cope
with the noise rate characteristics.


title: On empirical meaning of randomness with respect to a real parameter

abstract:
  We study the empirical meaning of randomness with respect to a family of
probability distributions $P_\theta$, where $\theta$ is a real parameter, using
algorithmic randomness theory. In the case when for a computable probability
distribution $P_\theta$ an effectively strongly consistent estimate exists, we
show that the Levin's a priory semicomputable semimeasure of the set of all
$P_\theta$-random sequences is positive if and only if the parameter $\theta$
is a computable real number. The different methods for generating
``meaningful'' $P_\theta$-random sequences with noncomputable $\theta$ are
discussed.


title: Bootstrap percolation in three dimensions

abstract:
  By bootstrap percolation we mean the following deterministic process on a
graph $G$. Given a set $A$ of vertices "infected" at time 0, new vertices are
subsequently infected, at each time step, if they have at least
$r\in\mathbb{N}$ previously infected neighbors. When the set $A$ is chosen at
random, the main aim is to determine the critical probability $p_c(G,r)$ at
which percolation (infection of the entire graph) becomes likely to occur. This
bootstrap process has been extensively studied on the $d$-dimensional grid
$[n]^d$: with $2\leq r\leq d$ fixed, it was proved by Cerf and Cirillo (for
$d=r=3$), and by Cerf and Manzo (in general), that
\[p_c([n]^d,r)=\Theta\biggl(\frac{1}{\log_{(r-1)}n}\biggr)^{d-r+1},\] where
$\log_{(r)}$ is an $r$-times iterated logarithm. However, the exact threshold
function is only known in the case $d=r=2$, where it was shown by Holroyd to be
$(1+o(1))\frac{\pi^2}{18\log n}$. In this paper we shall determine the exact
threshold in the crucial case $d=r=3$, and lay the groundwork for solving the
problem for all fixed $d$ and $r$.


title: Anomalous conductance response of DNA wires under stretching

abstract:
  The complex mechanisms governing charge migration in DNA oligomers reflect
the rich structural and electronic properties of the molecule of life.
Controlling the mechanical stability of DNA nanowires in charge transport
experiments is a requisite for identifying intrinsic issues responsible for
long range charge transfers. By merging density-functional-theory-based
calculations and model-Hamiltonian approaches, we have studied DNA quantum
transport during the stretching-twisting process of poly(GC) DNA oligomers.
During the stretching process, local maxima in the charge transfer integral t
between two nearest-neighbor GC pairs arise from the competition between
stretching and twisting. This is reflected in local maxima for the conductance,
which depend very sensitively on the coupling to the electrodes. In the case of
DNA-electrode couplings smaller than t, the conductance versus stretching
distance saturates to plateau in agreement with recent experimental
observations.


title: Confinement of matroid representations to subsets of partial fields

abstract:
  Let M be a matroid representable over a (partial) field P and B a matrix
representable over a sub-partial field P' of P. We say that B confines M to P'
if, whenever a P-representation matrix A of M has a submatrix B, A is a scaled
P'-matrix. We show that, under some conditions on the partial fields, on M, and
on B, verifying whether B confines M to P' amounts to a finite check. A
corollary of this result is Whittle's Stabilizer Theorem.
  A combination of the Confinement Theorem and the Lift Theorem from
arXiv:0804.3263 leads to a short proof of Whittle's characterization of the
matroids representable over GF(3) and other fields.
  We also use a combination of the Confinement Theorem and the Lift Theorem to
prove a characterization, in terms of representability over partial fields, of
the 3-connected matroids that have k inequivalent representations over GF(5),
for k = 1, ..., 6.
  Additionally we give, for a fixed matroid M, an algebraic construction of a
partial field P_M and a representation A over P_M such that every
representation of M over a partial field P is equal to f(A) for some
homomorphism f:P_M->P. Using the Confinement Theorem we prove an algebraic
analog of the theory of free expansions by Geelen et al.


title: Seshadri constants on the self-product of an elliptic curve

abstract:
  The purpose of this paper is to study Seshadri constants on the self-product
$E\times E$ of an elliptic curve $E$. We provide explicit formulas for
computing the Seshadri constants of all ample line bundles on the surfaces
considered. As an application, we obtain a good picture of the behaviour of the
Seshadri function on the nef cone.


title: Evolution of the N=50 shell gap energy towards $^{78}$Ni

abstract:
  Atomic masses of the neutron-rich isotopes $^{76-80}$Zn, $^{78-83}$Ga,
$^{80-85}Ge, $^{81-87}$As and $^{84-89}$Se have been measured with high
precision using the Penning trap mass spectrometer JYFLTRAP at the IGISOL
facility. The masses of $^{82,83}$Ga, $^{83-85}$Ge, $^{84-87}$As and $^{89}$Se
were measured for the first time. These new data represent a major improvement
in the knowledge of the masses in this neutron-rich region. Two-neutron
separation energies provide evidence for the reduction of the N=50 shell gap
energy towards germanium Z=32 and a subsequent increase at gallium (Z=31). The
data are compared with a number of theoretical models. An indication of the
persistent rigidity of the shell gap towards nickel (Z=28) is obtained.


title: Pseudo supersymmetric partners for the generalized Swanson model

abstract:
  New non Hermitian Hamiltonians are generated, as isospectral partners of the
generalized Swanson model, viz., $ H_- = {\cal{A}}^{\dagger} {\cal{A}} + \alpha
{\cal{A}} ^2 + \beta {\cal{A}}^{\dagger 2} $, where $ \alpha \beta $ are real
constants, with $ \alpha \neq \beta $, and ${\cal{A}}^{\dagger}$ and
${\cal{A}}$ are generalized creation and annihilation operators. It is shown
that the initial Hamiltonian $H_-$, and its partner $H_+$, are related by
pseudo supersymmetry, and they share all the eigen energies except for the
ground state. This pseudo supersymmetric extension enlarges the class of non
Hermitian Hamiltonians $H_{\pm}$, related to their respective Hermitian
counterparts $h_{\pm}$, through the same similarity transformation operator
$\rho$ : $ H_{\pm} = \rho ^{-1} h_{\pm} \rho $. The formalism is applied to the
entire class of shape-invariant models.


title: Gap in Nonlinear Equivalence for Numerical Methods for PDEs

abstract:
  For a large class of nonlinear evolution PDEs, and more generally, of
nonlinear semigroups, as well as their approximating numerical methods, two
rather natural stability type convergence conditions are given, one being
necessary, while the other is sufficient. The gap between these two stability
conditions is analyzed, thus leading to a general nonlinear equivalence between
stability and convergence.


title:
The Poincare series of divisorial valuations in the plane defines the
  topology of the set of divisors

abstract:
  To a plane curve singularity one associates a multi-index filtration on the
ring of germs of functions of two variables defined by the orders of a function
on irreducible components of the curve. The Poincare series of this filtration
turnes out to coincide with the Alexander polynomial of the curve germ. For a
finite set of divisorial valuations on the ring corresponding to some
components of the exceptional divisor of a modification of the plane, in a
previous paper there was obtained a formula for the Poincare series of the
corresponding multi-index filtration similar to the one associated to plane
germs. Here we show that the Poincare series of a set of divisorial valuations
on the ring of germs of functions of two variables defines "the topology of the
set of the divisors" in the sense that it defines the minimal resolution of
this set up to combinatorial equivalence. For the plane curve singularity case,
we also give a somewhat simpler proof of the statement by Yamamoto which proves
that the Alexander polynomial is equivalent to the embedded topology.


title: Statistical and systematical errors in cosmic microwave background maps

abstract:
  Sky temperature map of the cosmic microwave background (CMB) is one of the
premier probes of cosmology. To minimize instrumentally induced systematic
errors, CMB anisotropy experiments measure temperature differences across the
sky using paires of horn antennas with a fixed separation angle, temperature
maps are recovered from temperature differences obtained in sky survey through
a map-making procedure. The instrument noise, inhomogeneities of the sky
coverage and sky temperature inevitably produce statistical and systematical
errors in recovered temperature maps. We show in this paper that
observation-dependent noise and systematic temperature distortion contained in
released Wilkinson Microwave Anisotropy Probe (WMAP) CMB maps are remarkable.
These errors can contribute to large-scale anomalies detected in WMAP maps and
distort the angular power spectrum as well. It is needed to remake temperature
maps from original WMAP differential data with modified map-making procedure to
avoid observation-dependent noise and systematic distortion in recovered maps.


title: Controllable spin-current blockade in a Hubbard chain

abstract:
  We investigate the spin/charge transport in a one-dimensional strongly
correlated system by using the adaptive time-dependent density-matrix
renormalization group method. The model we consider is a non-half-filled
Hubbard chain with a bond of controllable spin-dependent electron hoppings,
which is found to cause a blockade of spin current with little influence on
charge current. We have considered (1) the spread of a wave packet of both spin
and charge in the Hubbard chain and (2) the spin and charge currents induced by
a spin-dependent voltage bias that is applied to the ideal leads attached at
the ends of this Hubbard chain. It is found that the spin-charge separation
plays a crucial role in the spin-current blockade, and one may utilize this
phenomenon to observe the spin-charge separation directly.


title: Resonance properties from the finite-volume energy spectrum

abstract:
  A new method based on the concept of probability distribution is proposed to
analyze the finite volume energy spectrum in lattice QCD. Using synthetic
lattice data, we demonstrate that for the channel with quantum numbers of the
Delta-resonance a clear resonance structure emerges in such an analysis.
Consequently, measuring the volume-dependence of the energy levels in lattice
QCD will allow to determine the mass and the width of the Delta with reasonable
accuracy.


title: Generators of simple Lie algebras II

abstract:
  This paper is a continuation of earlier work on generators of simple Lie
algebras in arbitrary characteristic (see arXiv:0708.1711). We show that, in
contrast to classical Lie algebras, simple graded Lie algebras of Cartan type
S,H or K never enjoy the 'one-and-a-half generation' property. The methods rely
on a study of centralisers in Cartan type Lie algebras.


title: Semicircle Law for Random Matrices of Long-Range Percolation Model

abstract:
  We study the normalized eigenvalue counting measure d\sigma of matrices of
long-range percolation model. These are (2n+1)\times (2n+1) random real
symmetric matrices H=\{H(i,j)\}_{i,j} whose elements are independent random
variables taking zero value with probability 1-\psi [(i-j)/b], b\in
\mathbb{R}^{+}, where \psi is an even positive function \psi(t)\le{1} vanishing
at infinity. It is shown that if the third moment of \sqrt{b}H(i,j), i\leq{j}
is uniformly bounded then the measure d\sigma:=d\sigma_{n,b} weakly converges
in probability in the limit n,b\to\infty, b=o(n) to the semicircle (or Wigner)
distribution. The proof uses the resolvent technique combined with the cumulant
expansions method. We show that the normalized trace of resolvent g_{n,b}(z)
converges in average and that the variance of g_{n,b}(z) vanishes. In the
second part of the paper, we estimate the rate of decreasing of the variance of
g_{n,b}(z), under further conditions on the moments of \sqrt{b}H(i,j), \
i\le{j}.


title:
Minimax State Estimation for a Dynamic System Described by a
  Differential-Algebraic Equation

abstract:
  In this report we address the linear state estimation problem: to estimate a
linear transformation $\ell(\varphi)$ of the state $\varphi$ through an
algorithm $\widehat{\ell(\varphi)}$ operating on measurements $y$, where
$L\varphi=f,y=H\varphi+\eta$. We study the estimation problem in terms of the
minimax estimation framework: to find a linear algorithm
$\widehat{\widehat{\ell(\varphi)}}$ that minimizes the worst case error
$\sup_{\varphi,\eta}d(\ell(\varphi),\widehat{\ell(\varphi)}) $. A key feature
of the presented estimation approach is to fix a class of linear operators $L$,
$H$; given any pair $L,H$ from that class we describe a class $\mathcal L$ of
all solution operators $\ell$ such that the worst case error is finite.
  We formulate a duality theorem (like Kalman duality principle) that is the
estimation problem is equal to the optimal control problem if $G$ is convex
bounded subset of the corresponding Hilbert space, $L$ is a closed linear
mapping. We obtain optimal estimations as solutions of the linear operator
equations if $G$ is an ellipsoid. Then we apply this to the state estimation
for the linear differential-algebraic equations (DAE). The minimax observer for
DAE is represented in the form of the minimax filter. For discrete time DAEs we
present the online minimax estimator.


title: Aronszajn Compacta

abstract:
  We consider a class of compacta X such that the maps from X onto metric
compacta define an Aronszajn tree of closed subsets of X.


title: The Brauer algebra and the symplectic Schur algebra

abstract:
  Let k be an algebraically closed field of characteristic p>0, let m,r be
integers with m\ge1, r\ge0 and m\ge r and let S_0(2m,r) be the symplectic Schur
algebra over k as introduced by the first author. We introduce the symplectic
Schur functor, derive some basic properties of it and relate this to work of
Hartmann and Paget. We do the same for the orthogonal Schur algebra. We give a
modified Jantzen sum formula and a block result for the symplectic Schur
algebra under the assumption that r and the residue of 2m mod p are small
relative to p. From this we deduce a block result for the orthogonal Schur
algebra under similar assumptions. Finally, we deduce from the previous results
a new proof of the geometric description of the blocks of the Brauer algebra in
characteristic 0 as obtained by Cox, De Visscher and Martin.


title:
Angular distributions of atomic photoelectrons produced in the UV and
  XUV regimes

abstract:
  We present angular distributions of photoelectrons of atomic model systems
excited by intense linearly polarized laser pulses in the VUV- and XUV-regime.
We solve the multi-dimensional time-dependent Schr\"odinger equation for one
particle on large spatial grids and investigate the direction dependence of the
ionized electrons for isotropic s-states as well as p-states. Although the
ponderomotive potential is small compared to the binding energy of the
initially bound electron and the photon energy of the exciting laser field,
richly structured photoelectron angular distributions are found which
sensitively depend on the laser frequency and intensity as well as on the
number of absorbed photons. The occuring shapes are explained in terms of
scattering mechanisms.


title: Atomic Structure of Benzene Which Accounts for Resonance Energy

abstract:
  Benzene is a hexagonal molecule of six carbon atoms, each of which is bound
to six hydrogen atoms. The equality of all six CC bond lengths, despite the
alternating double and single bonds, and the surplus (resonance) energy, led to
the suggestion of two resonanting structures. Here, the new atomic structure
shows that the bond length equality is due to three carbon atoms with double
bond radii bound to three other carbon atoms with resonance bond radii (as in
graphene). Consequently, there are two kinds of CH bonds of slightly different
lengths. The bond energies account for the resonance energy.


title: Single spin asymmetries and gluonic pole matrix elements

abstract:
  We investigate the emergence of single spin asymmetries (SSA) in hard
processes using transverse momentum dependent (TMD) distribution and
fragmentation functions. Specifically, the description of SSA involves time
reversal-odd functions. Process-dependence (non-universality) in measurements
of SSA can be attributed to the non-trivial gauge link structure in the TMD
correlator. Finding the appropriate gauge links, however, also enables us to
characterize the non-universality


title: Cauchy problem for viscous rotating shallow water equations

abstract:
  We consider the Cacuhy problem for a viscous compressible rotating shallow
water system with a third-order surface-tension term involved, derived recently
in the modelling of motions for shallow water with free surface in a rotating
sub-domain. The global existence of the solution in the space of Besov type is
shown for initial data close to a constant equilibrium state away from the
vacuum. Unlike the previous analysis about the compressible fluid model without
coriolis forces, the rotating effect causes a coupling between two parts of
Hodge's decomposition of the velocity vector field, additional regularity is
required in order to carry out the Friedrichs' regularization and compactness
arguments.


title:
Molecular dynamics simulations of ultrathin water film confined between
  flat diamond plates

abstract:
  Molecular dynamics simulations of ultrathin water film confined between
atomically flat rigid diamond plates are described. Films with thickness of one
and two molecular diameters are concerned and TIP4P model is used for water
molecules. Dynamical and equilibrium characteristics of the system for
different values of the external load and shear force are investigated. An
increase of the external load causes the transition of the film to a solidlike
state. This is manifested in the decreasing of the diffusion constant and in
the ordering of the liquid molecules into quasidiscrete layers. For two-layer
film under high loads molecules also become ordered parallel to the surfaces.
Time dependencies of the friction force and the changes of its average value
with the load are obtained. In general, the behaviour of the studied model is
consistent with the experimental results obtained for simple liquids with
spherical molecules.


title: Geometric extension of put-call symmetry in the multiasset setting

abstract:
  In this paper we show how to relate European call and put options on multiple
assets to certain convex bodies called lift zonoids. Based on this, geometric
properties can be translated into economic statements and vice versa. For
instance, the European call-put parity corresponds to the central symmetry
property, while the concept of dual markets can be explained by reflection with
respect to a plane. It is known that the classical univariate log-normal model
belongs to a large class of distributions with an extra property, analytically
known as put-call symmetry. The geometric interpretation of this symmetry
property motivates a natural multivariate extension. The financial meaning of
this extension is explained, the asset price distributions that have this
property are characterised and their further properties explored. It is also
shown how to relate some multivariate asymmetric distributions to symmetric
ones by a power transformation that is useful to adjust for carrying costs. A
particular attention is devoted to the case of asset prices driven by L\'evy
processes. Based on this, semi-static hedging techniques for multiasset barrier
options are suggested.


title: Heat kernel estimates for strongly recurrent random walk on random media

abstract:
  We establish general estimates for simple random walk on an arbitrary
infinite random graph, assuming suitable bounds on volume and effective
resistance for the graph. These are generalizations of the results in
\cite[Section 1,2]{BJKS}, and in particular, imply the spectral dimension of
the random graph. We will also give an application of the results to random
walk on a long range percolation cluster.


title: Families of equivariant differential operators and anti de Sitter spaces

abstract:
  We prove existence and uniqueness of a sequence of differential intertwining
operators for spherical principal series representations, which are realized on
boundaries of anti de Sitter spaces. Algebraically, these operators correspond
to homomorphisms of generalized Verma modules. We relate these families to the
asymptotics of eigenfunctions on anti de Sitter spaces.


title: InN/In nanocomposites: Evidences of plasmonic effects and hidden gap

abstract:
  InN/In nanocomposites with periodical In inclusions amounting up to 30% of
the total volume exhibit bright emission near 0.7 eV explicitly associated with
In clusters. Its energy and intensity depend on the In amount. The principal
absorption edge in the semiconductor host, as given by a photovoltaic response,
is markedly higher than the onset of thermally detected absorption. These
findings, being strongly suggestive of plasmon-dominated emission and
absorption, are discussed in terms of electromagnetic enhancement taking into
account the In parallel-band transitions.


title: On Field Size and Success Probability in Network Coding

abstract:
  Using tools from algebraic geometry and Groebner basis theory we solve two
problems in network coding. First we present a method to determine the smallest
field size for which linear network coding is feasible. Second we derive
improved estimates on the success probability of random linear network coding.
These estimates take into account which monomials occur in the support of the
determinant of the product of Edmonds matrices. Therefore we finally
investigate which monomials can occur in the determinant of the Edmonds matrix.


title: The model of quantum evolution

abstract:
  This paper has been withdrawn by the author due to extremely unscientific
errors.


title:
Effect of decoherence on resonant Cooper-pair tunneling in a
  voltage-biased single-Cooper-pair transistor

abstract:
  We analyze how decoherence appears in the I-V characteristics of a
voltage-biased single-Cooper-pair transistor. Especially the effect on resonant
single or several Cooper-pair tunneling is studied. We consider both a
symmetric and an asymmetric transistor. As a decoherence source we use a small
resistive impedance (Re[Z(w)]<<R_Q=h/4e^2) in series with the transistor, which
provides both thermal and quantum fluctuations of the voltage. Additional
decoherence sources are quasiparticle tunneling across the Josephson junctions
and quantum f-noise caused by spurious charge fluctuators nearby the island.
The analysis is based on a real-time diagrammatic technique which includes
Zeno-like effects in the charge transport, where the tunneling is slowed down
due to strong decoherence. As compared to the Pauli-master-equation treatment
of the problem, the present results are more consistent with experiments where
many of the predicted sharp resonant structures are missing or weakened due to
decoherence.


title:
Eigenvalue asymptotics of the even-dimensional exterior Landau-Neumann
  Hamiltonian

abstract:
  We study the Schroedinger operator with a constant magnetic field in the
exterior of a compact domain in $\mathbb{R}^{2d}$, $d\geq 1$. The spectrum of
this operator consists of clusters of eigenvalues around the Landau levels. We
give asymptotic formulas for the rate of accumulation of eigenvalues in these
clusters. When the compact is a Reinhart domain we are able to show a more
precise asymptotic formula.


title: 75As NMR study of the ternary iron arsenide BaFe2As2

abstract:
  We report 75As-NMR measurements of the ternary iron arsenide BaFe2As2.
75As-NMR spectra clearly revealed that magnetic transition occurs at around 131
K in our samples, which corresponds to the emergence of spin density wave.
Temperature dependence of the internal magnetic field suggests that the
transition is likely of the first order. The critical-slowing-down phenomenon
in the spin-lattice relaxation rate 1/T1 is not pronounced in this material.


title: The Rise of Quantum Mechanics

abstract:
  The rise of quantum mechanics is reviewed with special attention to the
development between June 1925 and October 1927 when the Copenhagen
interpretation was proposed.


title: InN/In nanocomposites: Plasmonic effects and a hidden optical gap


title: Quantum chaotic system as a model of decohering environment

abstract:
  As a model of decohering environment, we show that quantum chaotic system
behave equivalently as many-body system. An approximate formula for the time
evolution of the reduced density matrix of a system interacting with a quantum
chaotic environment is derived. This theoretical formulation is substantiated
by the numerical study of decoherence of two qubits interacting with a quantum
chaotic environment modeled by a chaotic kicked top. Like the many-body model
of environment, the quantum chaotic system is efficient decoherer, and it can
generate entanglement between the two qubits which have no direct interaction.

categories: quant-ph cond-mat.other nlin.CD physics.pop-ph


title:
The motility of normal and cancer cells in response to the combined
  influence of substrate rigidity and anisotropic microstructure

abstract:
  Cell adhesion and migration are strongly influenced by extracellular matrix
(ECM) architecture and rigidity, but little is known about the concomitant
influence of such environmental signals to cell responses, especially when
considering cells of similar origin and morphology, but exhibiting a normal or
cancerous phenotype. Using micropatterned polydimethylsiloxane substrates
(PDMS) with tuneable stiffness (500kPa, 750kPa, 2000kPa) and topography (lines,
pillars or unpatterned), we systematically analyse the differential response of
normal (3T3) and cancer (SaI/N) fibroblastic cells. Our results demonstrate
that both cells exhibit differential morphology and motility responses to
changes in substrate rigidiy and microtopography. 3T3 polarization and
spreading are influenced by substrate microtopography and rigidity. The cells
exhibit a persistent type of migration, which depends on the substrate
anisotropy. In contrast, the dynamic of SaI/N spreading is strongly modified by
the substrate topography but not by substrate rigidity. SaI/N morphology and
migration seem to escape from extracellular cues: the cells exhibit
uncorrelated migration trajectories and a large dispersion of their migration
speed, which increases with substrate rigidity.


title: Ergodic actions of S_\mu U(2) on C*-algebras from II_1 subfactors

abstract:
  To a proper inclusion N\subset M of II_1 factors of finite Jones index [M:N],
we associate an ergodic C*-action of the quantum group S_\mu U(2). The
deformation parameter is determined by -1<\mu<0 and [M:N]=|\mu+\mu^{-1}|. The
higher relative commutants can be identified with the spectral spaces of the
tensor powers of the defining representation of the quantum group.
  This ergodic action may be thought of as a virtual subgroup of S_\mu U(2) in
the sense of Mackey arising from the tensor category generated by M regarded as
a bimodule over N. \mu is negative as M is a real bimodule.


title: Loop models for CFTs

abstract:
  By interpreting the fusion matrix as an adjacency matrix we associate a loop
model to every primary operator of a generic conformal field theory. The weight
of these loop models is given by the quantum dimension of the corresponding
primary operator. Using the known results for the O(n) models we establish a
relationship between these models and SLEs. The method is applied to WZW, $c<1$
minimal conformal field theories and other coset models.


title:
Closure relations for composite bosons: difference between polaritons
  and Wannier or Frenkel excitons

abstract:
  We derive the closure relation for $N$ polaritons made of three different
types of excitons: bosonized excitons, Frenkel or Wannier excitons. In the case
of polaritons made of Wannier excitons, we show how this closure relation,
which appears as non-diagonal, may reduce to the one of $N$ elementary bosons,
the photons, with its $1/N!$ prefactor, or to the one of $N$ Wannier excitons,
with its $(1/N!)^2$ prefactor. Widely different forms of closure relations are
thus found depending on the composite bosons at hand. Comparison with closure
relations of excitons, either bosonized or kept composite as Frenkel or Wannier
excitons, allows us to discuss the influence of a reduction of the number of
internal degrees of freedom, as well as the importance of the composite nature
of the particles and the existence of fermionic components.


title:
Generalized Grad-Shafranov equation for gravitational Hall-MHD
  equilibria

abstract:
  The consistent theoretical description of gravitational Hall-MHD (G-Hall-MHD)
equilibria is of fundamental importance for understanding the phenomenology of
accretion disks (AD) around compact objects (black holes, neutron stars, etc.).
The very existence of these equilibria is actually suggested by observations,
which show evidence of quiescent, and essentially non-relativistic, AD plasmas
close to compact stars, thus indicating that accretion disks may be
characterized by slowly varying EM and fluid fields. These (EM) fields, in
particular the electric field, may locally be extremely intense, so that AD
plasmas are likely to be locally non-neutral and therefore characterized by the
presence of Hall currents. This suggests therefore that such equilibria should
be described in the framework of the Hall-MHD theory. Extending previous
approaches, holding for non-rotating plasmas or based on specialized
single-species model equilibria which ignore the effect of space-time
curvature, the purpose of this work is the formulation of a generalized
Grad-Shafranov (GGS) equation suitable for the investigation of G-Hall-MHD
equilibria in AD's where non-relativistic plasmas are present. For this purpose
the equilibria are assumed to be generated by a strong axisymmetric stellar
magnetic field and by the gravitating plasma characterizing the AD.


title: Geometry reconstruction of fluorescence detectors revisited

abstract:
  The experimental technique of fluorescence light observation is used in
current and planned air shower experiments that aim at understanding the origin
of ultra-high energy cosmic rays. In the fluorescence technique, the geometry
of the shower is reconstructed from the correlation between arrival time and
incident angle of the signals detected by the telescope. The calculation of the
expected light arrival time used so far in shower reconstruction codes is based
on several assumptions. Particularly, it is assumed that fluorescence photons
are produced instantaneously during the passage of the shower front and that
the fluorescence photons propagate on a straight line with vacuum speed of
light towards the telescope. We investigate the validity of these assumptions,
how to correct them, and the impact on reconstruction parameters when adopting
realistic conditions. Depending on the relative orientation of the shower to
the telescope, corrections can reach 100 ns in expected light arrival time, 0.1
deg in arrival direction and 5 g/cm^2 in depth of shower maximum. The findings
are relevant also for the case of "hybrid" observations where the shower is
registered simultaneously by fluorescence and surface detectors.


title: On the determination of |V_{ub}| from inclusive semileptonic B decays

abstract:
  Precision tests of the CKM mechanism and searches for new physics in the
flavour sector require dedicated QCD calculations of decay widths and spectra.
Significant progress has been achieved in recent years in computing inclusive B
decay spectra into light energetic partons. I briefly review different
theoretical approaches to this problem focusing on the determination of
|V_{ub}| from inclusive semileptonic decays and show that this determination is
robust. The largest uncertainty is associated with the value of the b quark
mass. Finally I present new numerical results in the DGE resummation-based
approach, now including O(beta_0 alpha_s^2) corrections. The results are
presented for all relevant experimental cuts, from which a preliminary average
is derived: |V_{ub}| = (4.30 \pm 0.16 (exp) ^{+0.09}_{-0.13} (th)
^{+0.39}_{-0.34} (m_b)) 10^{-3}, where the PDG value of the b quark mass,
m_b^{\MSbar} = 4.20 \pm 0.07 GeV, is assumed.


title: The second iterate for the Navier-Stokes equation

abstract:
  We consider the iterative resolution scheme for the Navier-Stokes equation,
and focus on the second iterate, more precisely on the map from the initial
data to the second iterate at a given time t.
  We investigate boundedness properties of this bilinear operator. This new
approach yields very interesting results: a new perspective on Koch-Tataru
solutions; a first step towards weak strong uniqueness for Koch-Tataru
solutions; and finally an instability result in $B^{-1}_{\infty,q}$, for q>2.


title: WiPal: Efficient Offline Merging of IEEE 802.11 Traces

abstract:
  Merging wireless traces is a fundamental step in measurement-based studies
involving multiple packet sniffers. Existing merging tools either require a
wired infrastructure or are limited in their usability. We propose WiPal, an
offline merging tool for IEEE 802.11 traces that has been designed to be
efficient and simple to use. WiPal is flexible in the sense that it does not
require any specific services, neither from monitors (like synchronization,
access to a wired network, or embedding specific software) nor from its
software environment (e.g. an SQL server). We present WiPal's operation and
show how its features - notably, its modular design - improve both ease of use
and efficiency. Experiments on real traces show that WiPal is an order of
magnitude faster than other tools providing the same features. To our
knowledge, WiPal is the only offline trace merger that can be used by the
research community in a straightforward fashion.


title: Kinematics of the Nebular Complex MH9/10/11 Associated with HoIX X-1

abstract:
  We report the results of our observations of the nebular complex MH9/10/11,
associated with the ULX HoIX X-1, with scanning Fabry-Perot Interferometer. Two
regions differing by their kinematics and line ratios may be distinguished,
roughly corresponding to the bubble nebula MH9/10 and fainter HII-region MH11.
For MH9/10 we find the expansion rate of 20-70km/s that is different for the
approaching and receding parts. MH11 is characterised by very low velocity
dispersion (less than or about 15km/s) and nearly constant line-of-sight
velocities. Properties of MH11 may be explained by photoionization of gas with
hydrogen density of about 0.2cm^-3. Luminosity required for that should be of
the order of 10^39erg/s. Similar power source is required to explain the
expansion rate of MH9/10. Modelling results also indicate that oxygen abundance
in MH11 is about solar.


title: Charge transport in ballistic multiprobe graphene structures

abstract:
  We study the the transport properties of multiterminal ballistic graphene
samples, concentrating on the conductance matrix, fluctuations and
cross-correlations. Far away from Dirac point, the current is carried mostly by
propagating modes and the results can be explained with the conventional
semiclassical picture familiar from ray optics, where electrons propagate along
a single direction before scattering or reaching the terminals. However, close
to the Dirac point the transport is due to evanescent modes which do not have
to follow a rectilinear path. As we show in this Letter, this property of the
evanescent modes influences the conductance matrix. However, at best it can be
observed by measuring the cross correlations in an exchange Hanbury Brown-Twiss
experiment.


title: Dispersive Approach to Chiral Perturbation Theory

abstract:
  We generalise the reconstruction theorem of Stern, Sazdjian, and Fuchs based
on the dispersion relations to the case of the (2 -> 2) scattering of all the
pseudoscalar octet mesons (pi, K, eta). We formulate it in a general way and
include also a discussion of the assumptions of the theorem. It is used to
obtain the amplitudes of all such processes in the isospin limit to the
one-loop order (and can be straightforwardly extended to two loops)
independently on the particular power-counting scheme of the chiral
perturbation theory in question. The results in this general form are
presented.


title: Inverse kinetic theory approach to turbulence theory

abstract:
  A fundamental aspect of turbulence theory is related to the identification of
realizable phase-space statistical descriptions able to reproduce in some
suitable sense the stochastic fluid equations of a turbulent fluid. In
particular, a major open issue is whether a purely Markovian statistical
description of hydrodynamic turbulence actually can be achieved. Based on the
formulation of a \textit{deterministic inverse kinetic theory} (IKT) for the 3D
incompressible Navier-Stokes equations, here we claim that such a
\textit{Markovian statistical description actually exists}. The approach, which
involves the introduction of the \textit{local velocity probability density}
for the fluid (local pdf) - rather than the velocity-difference pdf adopted in
customary approaches to homogeneous turbulence - relies exclusively on first
principles. These include - in particular - the exact validity of the
stochastic Navier-Stokes equations, the principle of entropy maximization and a
constant H-theorem for the Shannon statistical entropy. As a result, the new
approach affords an exact equivalence between Lagrangian and Eulerian
formulations which permit local pdf's which are generally non-Maxwellian (i.e.,
non-Gaussian). The theory developed is quite general and applies in principle
even to turbulence regimes which are non-stationary and non-uniform in a
statistical sense.


title:
Analytical Tight-binding Approach for Ballistic Transport through
  Armchair Graphene Ribbons: Exact Solutions for Propagation through Step-like
  and Barrier-like Potentials

abstract:
  Based on a tight-binding approximation, we present analytical solutions for
the wavefunction and propagation velocity of an electron in armchair graphene
ribbons. The derived expressions are used for computing the transmission
coefficients through step-like and barrier-like potentials. Our analytical
solutions predict a new kind of transmission resonances for one-mode
propagation in semiconducting ribbons. Contrary to the Klein paradox in
graphene, this approach shows that backscattering for gapless mode is possible.
In consistence with a higher order $\bf{k\cdot p}$ method, the backscattering
probabilities vary with the square of the applied potential in the low-energy
limit. We also demonstrate that gapless-mode propagation through a potential
step in armchair ribbons can be described by the same through-step relation as
that for an undimerized 1D chain of identical atoms.


title: Poset Resolutions of Monomial Ideals

abstract:
  We introduce the class of lattice-linear monomial ideals and use the
LCM-lattice to give an explicit construction for their minimal free resolution.
The class of lattice-linear ideals includes (among others) the class of
monomial ideals with linear free resolution and the class of Scarf monomial
ideals. Our main tool is a new construction by Tchernev that produces from a
map of posets $\eta:P\lra\mbb{N}^n$ a sequence of multigraded modules and maps.


title:
A Note on Algebraic Multigrid Methods for the Discrete Weighted
  Laplacian

abstract:
  In recent contributions, algebraic multigrid methods have been designed and
studied from the viewpoint of the spectral complementarity. In this note we
focus our efforts on specific applications and, more precisely, on large linear
systems arising from the approximation of weighted Laplacian with various
boundary conditions. We adapt the multigrid idea to this specific setting and
we present and critically discuss a wide numerical experimentation showing the
potentiality of the considered approach.


title:
CP-violating Higgs boson mixing in chargino production at the muon
  collider

abstract:
  We study the pair-production of charginos in the CP-violating Minimal
Supersymmetric Standard Model at center-of-mass energies around the heavy
neutral Higgs boson resonances. If these resonances are nearly degenerate, as
it can happen in the Higgs decoupling limit, radiatively induced
scalar-pseudoscalar transitions can be strongly enhanced. The resulting mixing
in the Higgs sector leads to large CP-violating effects, and a change of their
mass spectrum. For longitudinally polarized muon beams, we analyze CP
asymmetries which are sensitive to the interference of the two heavy neutral
Higgs bosons. We present a detailed numerical analysis of the cross sections,
chargino branching ratios, and the CP observables. We obtain sizable
CP-asymmetries, which would be accessible in future measurements at a muon
collider. Especially for intermediate values of the parameter \tan\beta, where
the largest branching ratios of Higgs bosons into charginos are expected, this
process allows to analyze the Higgs sector properties and its interaction to
supersymmetric fermions.


title: Worst Case to Average Case Reductions for Polynomials

abstract:
  A degree-$d$ polynomial $p$ in $n$ variables over a field $\F$ is {\em
equidistributed} if it takes on each of its $|\F|$ values close to equally
often, and {\em biased} otherwise. We say that $p$ has a {\em low rank} if it
can be expressed as a bounded combination of polynomials of lower degree. Green
and Tao [gt07] have shown that bias imply low rank over large fields (i.e. for
the case $d < |\F|$). They have also conjectured that bias imply low rank over
general fields. In this work we affirmatively answer their conjecture. Using
this result we obtain a general worst case to average case reductions for
polynomials. That is, we show that a polynomial that can be {\em approximated}
by few polynomials of bounded degree, can be {\em computed} by few polynomials
of bounded degree. We derive some relations between our results to the
construction of pseudorandom generators, and to the question of testing concise
representations.


title: Numerical simulations of continuum-driven winds of super-Eddington stars

abstract:
  We present the results of numerical simulations of continuum-driven winds of
stars that exceed the Eddington limit and compare these against predictions
from earlier analytical solutions. Our models are based on the assumption that
the stellar atmosphere consists of clumped matter, where the individual clumps
have a much larger optical thickness than the matter between the clumps. This
`porosity' of the stellar atmosphere reduces the coupling between radiation and
matter, since photons tend to escape through the more tenuous gas between the
clumps. This allows a star that formally exceeds the Eddington limit to remain
stable, yet produce a steady outflow from the region where the clumps become
optically thin. We have made a parameter study of wind models for a variety of
input conditions in order to explore the properties of continuum-driven winds.
  The results show that the numerical simulations reproduce quite closely the
analytical scalings. The mass loss rates produced in our models are much larger
than can be achieved by line driving. This makes continuum driving a good
mechanism to explain the large mass loss and flow speeds of giant outbursts, as
observed in eta Carinae and other luminous blue variable (LBV) stars. Continuum
driving may also be important in population III stars, since line driving
becomes ineffective at low metalicities. We also explore the effect of photon
tiring and the limits it places on the wind parameters.


title:
Star formation histories of early-type galaxies at z = 1.2 in cluster
  and field environments

abstract:
  We derive the star formation histories of early-type galaxies at z = 1.2 in
both low and high density environments. To this purpose, we compare the
co-added spectroscopic and 8-9 band photometric data of 43 mass selected
early-type galaxies in the massive cluster RDCS J1252.9-2927 and the
GOODS/CDF-S field with a large grid of composite stellar population models. We
find that the cluster early-type galaxies formed the bulk of their stars
approximately 0.5 Gyr earlier than early-types in the field, whereas field
early-types presumably finish forming their stellar content on a longer time
scale. Such a difference is particularly evident at lower masses but becomes
negligible for the most massive galaxies. While our differential analysis of
the stellar population parameters of cluster and field galaxies in the same
mass range convincingly shows distinct star formation histories, the absolute
age difference remains model dependent. Using the star formation histories that
best fit the SEDs of the red sequence galaxies in RDCS 1252.9-2927, we
reconstruct the evolution of the cluster red sequence and find that it was
established over 1 Gyr and is expected to dissolve by z ~ 2.


title:
On ill-posedness for the one-dimensional periodic cubic Schrodinger
  equation

abstract:
  We prove the ill-posedness in $ H^s(\T) $, $s<0$, of the periodic cubic
Schr\"odinger equation in the sense that the flow-map is not continuous from
$H^s(\T) $ into itself for any fixed $ t\neq 0 $. This result is slightly
stronger than the one obtained by Christ-Colliander-Tao where the discontinuity
of the solution map is established. Moreover our proof is different and
clarifies the ill-posedness phenomena. Our approach relies on a new result on
the behavior of the associated flow-map with respect to the weak topology of $
L^2(\T) $.


title:
Hydrodynamic radial and elliptic flow in heavy-ion collisions from AGS
  to LHC energies

abstract:
  Using ideal relativistic hydrodynamics in 2+1 dimensions, we study the
collision energy dependence of radial and elliptic flow, of the emitted hadron
spectra, and of the transverse momentum dependence of several hadronic particle
ratios, covering the range from Alternating Gradient Synchrotron (AGS) to Large
Hadron Collider (LHC) energies. These calculations establish an ideal fluid
dynamic baseline that can be used to assess non-equilibrium features manifest
in future LHC heavy-ion experiments. Contrary to earlier suggestions we find
that a saturation and even decrease of the differential elliptic flow v_2(p_T)
with increasing collision energy cannot be unambiguously associated with the
QCD phase transition.


title: Fundamental classes not representable by products

abstract:
  We prove that rationally essential manifolds with suitably large fundamental
groups do not admit any maps of non-zero degree from products of closed
manifolds of positive dimension. Particular examples include all manifolds of
non-positive sectional curvature of rank one and all irreducible locally
symmetric spaces of non-compact type. For closed manifolds from certain
classes, say non-positively curved ones, or certain surface bundles over
surfaces, we show that they do admit maps of non-zero degree from non-trivial
products if and only if they are virtually diffeomorphic to products.


title:
Large curvature perturbations near horizon crossing in single-field
  inflation models

abstract:
  We consider the examples of single-field inflation models predicting large
amplitudes of the curvature perturbation power spectrum at relatively small
scales. It is shown that in models with an inflationary potential of
double-well type the peaks in the power spectrum, having, in maximum, the
amplitude ~0.1, can exist (if parameters of the potential are chosen
appropriately). It is shown also that the spectrum amplitude of the same
magnitude (at large k values) is predicted in the model with the running mass
potential, if the positive running, n', exists and is about 0.005 at
cosmological scales. Estimates of the quantum diffusion effects during
inflation in models with the running mass potential are given.


title: Hydrodynamic Processes in Massive Stars

abstract:
  The hydrodynamic processes operating within stellar interiors are far richer
than represented by the best stellar evolution model available. Although it is
now widely understood, through astrophysical simulation and relevant
terrestrial experiment, that many of the basic assumptions which underlie our
treatments of stellar evolution are flawed, we lack a suitable, comprehensive
replacement. This is due to a deficiency in our fundamental understanding of
the transport and mixing properties of a turbulent, reactive, magnetized
plasma; a deficiency in knowledge which stems from the richness and variety of
solutions which characterize the inherently non-linear set of governing
equations. The exponential increase in availability of computing resources,
however, is ushering in a new era of understanding complex hydrodynamic flows;
and although this field is still in its formative stages, the sophistication
already achieved is leading to a dramatic paradigm shift in how we model
astrophysical fluid dynamics. We highlight here some recent results from a
series of multi-dimensional stellar interior calculations which are part of a
program designed to improve our one-dimensional treatment of massive star
evolution and stellar evolution in general.


title: The Blast Wave Model for AGN Feedback: Effects on AGN Obscuration

abstract:
  We compute the effect of the galactic absorption on AGN emission in a
cosmological context by including a physical model for AGN feeding and feedback
in a semi-analytic model of galaxy formation. This is based on galaxy
interactions as triggers for AGN accretion, and on expanding blast waves as a
mechanism to propagate outwards the AGN energy injected into the interstellar
medium at the center of galaxies. We first test our model against the observed
number density of AGNs with different intrinsic luminosity as a function of
redshift. The model yields a ''downsizing'' behavior in close agreement with
the observed one for z<2. At higher redshifts, the model predicts an overall
abundance of AGNs (including Compton-thick sources) larger than the observed
Compton-thin sources by a factor around 2 for z>2 and L_X < 10^{44} erg/s.
Thus, we expect that at such luminosities and redshifts about 1/2 of the total
AGN population is contributed by Compton-thick sources. We then investigate the
dependence of the absorbing column density N_H associated to cold galactic gas
(and responsible for the Compton-thin component of the overall obscuration) on
the AGN luminosity and redshift. We find that the absorbed fraction of AGNs
with N_H>10^{22} cm^{-2} decreases with luminosity for z<1; in addition, the
total (integrated over luminosity) absorbed fraction increases with redshift up
to z around 2, and saturates to the value around 0.8 at higher redshifts.
Finally, we predict the luminosity dependence of the absorbed fraction of AGNs
with L_X< 3 10^{44} erg/s to weaken with increasing redshift. We compare our
results with recent observations, and discuss their implications in the context
of cosmological models of galaxy formation.


title:
Optimal strategies of radial velocity observations in planet search
  surveys

abstract:
  Applications of the theory of optimal design of experiments to radial
velocity planet search surveys are considered. Different optimality criteria
are discussed, basing on the Fisher, Shannon, and Kullback-Leibler
informations. Algorithms of optimal scheduling of RV observations for two
important practical problems are considered. The first problem is finding the
time for future observations to yield the maximum improvement of the precision
of exoplanetary orbital parameters and masses. The second problem is finding
the most favourable time for distinguishing alternative orbital fits (the
scheduling of discriminating observations).
  These methods of optimal planning are demonstrated to be potentially
efficient for multi-planet extrasolar systems, in particular for resonant ones.
In these cases, the optimal dates of observations are often concentrated in
quite narrow time segments.


title:
Search for cold gas along radio lobes in the cooling core galaxies
  MS0735.6+7421 and M87

abstract:
  We report CO observations towards MS0735.6+7421 a distant cooling core
galaxy, and towards M87, the nearest cooling core in the center of the Virgo
cluster. Both galaxies contain radio cavities that are thought to be
responsible for the heating that can regulate or stop the cooling of the
surrounding gas. In this feedback process, there could still be some gas
cooling along filaments, along the borders of the radio cavities. Molecular gas
is known to exist in clusters with cooling cores, in long and thin filaments
that can be formed behind the rising bubbles inflated by the central AGN. CO
emission was searched for at several locations along the radio lobes of those
two galaxies, but only upper limits were found. These correspond to cold gas
mass limits of a few 10^9 Msol for each pointing in MS0735.6+7421, and a few
10^6 Msol in M87. This non detection means that either the cooling is strongly
reduced by the AGN feedback or that the gas is cooling in very localized places
like thin filaments, possibly diluted in the large beam for MS0735.6+7421. For
M87, the AGN heating appears to have stopped the cooling completely.