title: Magnetic interaction induced by the anomaly in kaon-photoproductions

abstract:
  We study the role of magnetic interaction in the photoproduction of the kaon
and hyperon. We find that the inclusion of a higher order diagram induced by
the Wess-Zumio-Witten term has a significant contribution to the magnetic
amplitude, which is compatible to the observed photon asymmetry in the forward
angle region. This enables us to use the K^* coupling constants which have been
determined in a microscopic way rather than the phenomenological ones which
differ largely from the microscopic ones.


title: Computing Equilibria in Anonymous Games

abstract:
  We present efficient approximation algorithms for finding Nash equilibria in
anonymous games, that is, games in which the players utilities, though
different, do not differentiate between other players. Our results pertain to
such games with many players but few strategies. We show that any such game has
an approximate pure Nash equilibrium, computable in polynomial time, with
approximation O(s^2 L), where s is the number of strategies and L is the
Lipschitz constant of the utilities. Finally, we show that there is a PTAS for
finding an epsilon


title:
Instability for standing waves of nonlinear Klein-Gordon equations via
  mountain-pass arguments

abstract:
  We introduce mountain-pass type arguments in the context of orbital
instability for Klein-Gordon equations. Our aim is to illustrate on two
examples how these arguments can be useful to simplify proofs and derive new
results of orbital stability/instability. For a power-type nonlinearity, we
prove that the ground states of the associated stationary equation are
minimizers of the functional "action" on a wide variety of constraints. For a
general nonlinearity, we extend to the dimension N=2 the classical instability
result for stationary solutions of nonlinear Klein-Gordon equations proved in
1985 by Shatah in dimension N>2.


title:
Method of measurements with random perturbation: Application in
  photoemission experiments

abstract:
  We report an application of a simultaneous perturbation stochastic
approximation (SPSA) algorithm to filtering systematic noise (SN) with non-zero
mean value in photoemission data. In our analysis we have used a series of 50
single-scan photoemission spectra of W(110) surface where randomly chosen SN
was added. It was found that the SPSA-evaluated spectrum is in good agreement
with the spectrum measured without SN. On the basis of our results a wide
application of SPSA for evaluation of experimental data is anticipated.


title:
Devitrification of a glass-like arrested ferromagnetic phase in
  La0.5Ca0.5MnO3

abstract:
  Magnetization measurements in La0.5Ca0.5MnO3 manganite show that the
high-temperature long-range ferromagnetic-metallic phase transforms to
antiferromagnetic-insulating phase, although a fraction of
ferromagnetic-metallic phase undergoes glass-like kinetic arrest and coexists
at low temperature with the equilibrium antiferromagnetic-insulating phase. We
show here through resistivity measurements that the residual arrested
ferromagnetic-metallic fraction can be converted to the equilibrium
antiferromagnetic-insulating phase by successive annealing at higher
temperatures, possibly through heterogeneous nucleation of equilibrium phase.
Significantly, larger fractions of this glassy ferromagnetic-metallic phase can
be obtained by cooling in higher fields and larger conversion to equilibrium
antiferromagnetic-insulating phase results.


title: Suppression of rectification at metal-Mott-insulator interfaces

abstract:
  Charge transport through metal-Mott-insulator interfaces is studied and
compared with that through metal-band-insulator interfaces. For band
insulators, rectification has been known to occur owing to a Schottky barrier,
which is produced by the work-function difference. For Mott insulators,
however, qualitatively different current-voltage characteristics are obtained.
Theoretically, we use the one-dimensional Hubbard model for a Mott insulator
and attach to it the tight-binding model for metallic electrodes. A Schottky
barrier is introduced by a solution to the Poisson equation with a simplified
density-potential relation. The current density is calculated by solving the
time-dependent Schr\"odinger equation. We mainly use the time-dependent
Hartree-Fock approximation, and also use exact many-electron wave functions on
small systems for comparison. Rectification is found to be strongly suppressed
even for large work-function differences. We show its close relationship with
the fact that field-effect injections into one-dimensional Mott insulators are
ambipolar. Experimentally, we fabricated asymmetric contacts on top of single
crystals of quasi-one-dimensional organic Mott and band insulators.
Rectification is strongly suppressed at an interface between metallic magnesium
and Mott-insulating (BEDT-TTF)(F$_2$TCNQ)
[BEDT-TTF=bis(ethylenedithio)tetrathiafulvalene,
F$_2$TCNQ=2,5-difluorotetracyanoquinodimethane].


title: Chiral Symmetry and Neutrino Pion Production off the Nucleon

abstract:
  The neutrino pion production off the nucleon is traditionally described in
the literature by means of the weak excitation of the Delta(1232) resonance and
its subsequent decay into N pi. Here, we present results from a model that
includes also some background terms required by chiral symmetry. We show that
the contribution of these terms is sizeable and leads to significant effects in
total and partially integrated pion production cross sections at intermediate
energies of interest for neutrino oscillation experiments. Finally, we discuss
parity-violating contributions to the pion angular differential cross section
induced by the interference of these non-resonant terms with the Delta piece.


title:
Hall algebras associated to triangulated categories, II: almost
  associativity

abstract:
  By using the approach in \cite{XX2006} to Hall algebras arising in
homologically finite triangulated categories, we find an `almost' associative
multiplication structure for indecomposable objects in a 2-periodic
triangulated category. As an application, we give a new proof of the theorem of
Peng and Xiao in \cite{PX2000} which provides a way of realizing symmetrizable
Kac-Moody algebras and elliptic Lie algebras via 2-periodic triangulated
categories.


title:
A note on perturbative aspects of Leigh-Strassler deformed N=4 SYM
  theory

abstract:
  We carry out a perturbative study of the Leigh-Strassler deformed N=4 SYM
theory in order to verify that the trihedral Delta(27) symmetry holds in the
quantum theory. We show that the Delta(27) symmetry is preserved to two loops
(at finite N) by explicitly computing the superpotential. The perturbative
superpotential is not holomorphic in the couplings due to finite contributions.
However, there exist coupling constant redefinitions that restore holomorphy.
Interestingly, the same redefinitions appear (in the work of Jack, Jones and
North[hep-ph/9603386]) if one requires the three-loop anomalous dimension to
vanish in a theory where the one-loop anomalous dimension vanishes. However,
the two field redefinitions seem to differ by a factor of two.


title:
Gauguin's questions in particle physics: Where are we coming from? What
  are we? Where are we going?

abstract:
  Within particle physics itself, Gauguin's questions may be interpreted as: P1
- What is the status of the Standard Model? P2 - What physics may lie beyond
the Standard Model? P3 - What is the `Theory of Everything'? Gauguin's
questions may also asked within a cosmological context: C1 - What were the
early stages of the Big Bang? C2 - What is the material content of the Universe
today? C3 - What is the future of the Universe? In this talk I preview many of
the topics to be discussed in the plenary sessions of this conference,
highlighting how they bear on these fundamental questions.


title: Effects of the stellar wind on X-ray spectra of Cygnus X-3

abstract:
  We study X-ray spectra of Cyg X-3 from BeppoSAX, taking into account
absorption and emission in the strong stellar wind of its companion. We find
the intrinsic X-ray spectra are well modelled by disc blackbody emission, its
upscattering by hot electrons with a hybrid distribution, and by Compton
reflection. These spectra are strongly modified by absorption and reprocessing
in the stellar wind, which we model using the photoionization code cloudy. The
form of the observed spectra implies the wind is composed of two phases. A hot
tenuous plasma containing most of the wind mass is required to account for the
observed features of very strongly ionized Fe. Small dense cool clumps filling
<0.01 of the volume are required to absorb the soft X-ray excess, which is
emitted by the hot phase but not present in the data. The total mass-loss rate
is found to be (0.6--1.6) x 10^-5 solar masses per year. We also discuss the
feasibility of the continuum model dominated by Compton reflection, which we
find to best describe our data. The intrinsic luminosities of our models
suggest that the compact object is a black hole.


title:
Quantum Query Algorithm Constructions for Computing AND, OR and MAJORITY
  Boolean Functions

abstract:
  Quantum algorithms can be analyzed in a query model to compute Boolean
functions where input is given in a black box and the aim is to compute
function value for arbitrary input using as few queries as possible. We
concentrate on quantum query algorithm designing tasks in this paper. The main
aim of the research was to find new efficient algorithms and develop general
algorithm designing techniques. First, we present several exact quantum query
algorithms for certain problems that are better than classical counterparts.
Next, we introduce algorithm transformation methods that allow significant
enlarging of exactly computable functions sets. Finally, we propose quantum
algorithm designing methods. Given algorithms for the set of sub-functions, our
methods use them to design a more complex one, based on algorithms described
before. Methods are applicable for input algorithms with specific properties
and preserve acceptable error probability and number of queries. Methods offer
constructions for computing AND, OR and MAJORITY kinds of Boolean functions.


title:
Non-Hermitian Hamiltonians, Metric, Other Observables and Physical
  Implications

abstract:
  The metric associated with a quasi-Hermitian Hamiltonian and its physical
implications are scrutinised. Consequences of the non-uniqueness such as the
question of the probability interpretation and the possible and forbidden
choices of additional observables are investigated and exemplified by specific
illustrative examples. In particular it is argued that the improper
identification of observables lies at the origin of the claimed violation of
the brachistchrone transition time between orthogonal states. The need for
further physical input to remove ambiguities is pointed out.


title: Minimal $f^q$-martingale measures for exponential L\'evy processes

abstract:
  Let $L$ be a multidimensional L\'evy process under $P$ in its own filtration.
The $f^q$-minimal martingale measure $Q_q$ is defined as that equivalent local
martingale measure for $\mathcal {E}(L)$ which minimizes the $f^q$-divergence
$E[(dQ/dP)^q]$ for fixed $q\in(-\infty,0)\cup(1,\infty)$. We give necessary and
sufficient conditions for the existence of $Q_q$ and an explicit formula for
its density. For $q=2$, we relate the sufficient conditions to the structure
condition and discuss when the former are also necessary. Moreover, we show
that $Q_q$ converges for $q\searrow1$ in entropy to the minimal entropy
martingale measure.


title: HITRAP: A facility at GSI for highly charged ions

abstract:
  An overview and status report of the new trapping facility for highly charged
ions at the Gesellschaft fuer Schwerionenforschung is presented. The
construction of this facility started in 2005 and is expected to be completed
in 2008. Once operational, highly charged ions will be loaded from the
experimental storage ring ESR into the HITRAP facility, where they are
decelerated and cooled. The kinetic energy of the initially fast ions is
reduced by more than fourteen orders of magnitude and their thermal energy is
cooled to cryogenic temperatures. The cold ions are then delivered to a broad
range of atomic physics experiments.


title:
Reply to Comment on "Modified Coulomb Law in a Strongly Magnetized
  Vacuum"

abstract:
  This is a reply to the Comment by S.-Y. Wang concerning our paper "Modified
Coulomb Law in a Strongly Magnetized Vacuum"


title: Registration of the First Thermonuclear X-ray Burst from AX J1754.2-2754

abstract:
  During the analysis of the INTEGRAL observatory archival data we found a
powerful X-ray burst, registered by JEM-X and IBIS/ISGRI telescopes on April
16, 2005 from a weak and poorly known source AX J1754.2-2754. Analysis of the
burst profiles and spectrum shows, that it was a type I burst, which result
from thermonuclear explosion on the surface of nutron star. It means that we
can consider AX J1754.2-2754 as an X-ray burster. Certain features of burst
profile at its initial stage witness of a radiation presure driven strong
expansion and a corresponding cooling of the nutron star photosphere. Assuming,
that the luminosity of the source at this phase was close to the Eddington
limit, we estimated the distance to the burst source d=6.6+/-0.3 kpc (for
hidrogen atmosphere of the neutron star) and d=9.2+/-0.4 kpc (for helium
atmosphere).


title:
Conformational and Structural Relaxations of Poly(ethylene oxide) and
  Poly(propylene oxide) Melts: Molecular Dynamics Study of Spatial
  Heterogeneity, Cooperativity, and Correlated Forward-Backward Motion

abstract:
  Performing molecular dynamics simulations for all-atom models, we
characterize the conformational and structural relaxations of poly(ethylene
oxide) and poly(propylene oxide) melts. The temperature dependence of these
relaxation processes deviates from an Arrhenius law for both polymers. We
demonstrate that mode-coupling theory captures some aspects of the glassy
slowdown, but it does not enable a complete explanation of the dynamical
behavior. When the temperature is decreased, spatially heterogeneous and
cooperative translational dynamics are found to become more important for the
structural relaxation. Moreover, the transitions between the conformational
states cease to obey Poisson statistics. In particular, we show that, at
sufficiently low temperatures, correlated forward-backward motion is an
important aspect of the conformational relaxation, leading to strongly
nonexponential distributions for the waiting times of the dihedrals in the
various conformational states


title: Conditions for Chemotactic Aggregation

abstract:
  Micro-organisms aggregate through chemotaxis against a concentration gradient
of signals secreted by themselves. We have numerically studied a model
consisting of elements with intracellular dynamics, random walks with a
state-dependent turnover rate, and secretion of attractant. Three phases with
and without aggregation, as well as partial aggregation, were obtained as to
the diffusion and decomposition rates of the attractant, and conditions for
cellular aggregation were analyzed. The size of aggregated clusters was shown
to be independent of cell density, as is consistent with experiment.


title: The Ekman-Hartmann layer in MHD Taylor-Couette flow

abstract:
  We study magnetic effects induced by rigidly rotating plates enclosing a
cylindrical MHD Taylor-Couette flow at the finite aspect ratio $H/D=10$. The
fluid confined between the cylinders is assumed to be liquid metal
characterized by small magnetic Prandtl number, the cylinders are perfectly
conducting, an axial magnetic field is imposed $\Ha \approx 10$, the rotation
rates correspond to $\Rey$ of order $10^2-10^3$. We show that the end-plates
introduce, besides the well known Ekman circulation, similar magnetic effects
which arise for infinite, rotating plates, horizontally unbounded by any walls.
In particular there exists the Hartmann current which penetrates the fluid,
turns into the radial direction and together with the applied magnetic field
gives rise to a force. Consequently the flow can be compared with a Taylor-Dean
flow driven by an azimuthal pressure gradient. We analyze stability of such
flows and show that the currents induced by the plates can give rise to
instability for the considered parameters. When designing an MHD Taylor-Couette
experiment, a special care must be taken concerning the vertical magnetic
boundaries so they do not significantly alter the rotational profile.


title: Proposal for optical parity state re-encoder

abstract:
  We propose a re-encoder to generate a refreshed parity encoded state from an
existing parity encoded state. This is the simplest case of the scheme by
Gilchrist et al. (Phys. Rev. A 75, 052328). We show that it is possible to
demonstrate with existing technology parity encoded quantum gates and
teleportation.


title: The two-type Richardson model with unbounded initial configurations

abstract:
  The two-type Richardson model describes the growth of two competing
infections on $\mathbb{Z}^d$ and the main question is whether both infection
types can simultaneously grow to occupy infinite parts of $\mathbb{Z}^d$. For
bounded initial configurations, this has been thoroughly studied. In this
paper, an unbounded initial configuration consisting of points
$x=(x_1,...,x_d)$ in the hyperplane $\mathcal{H}=\{x\in\mathbb{Z}^d:x_1=0\}$ is
considered. It is shown that, starting from a configuration where all points in
$\mathcal{H} {\mathbf{0}\}$ are type 1 infected and the origin $\mathbf{0}$ is
type 2 infected, there is a positive probability for the type 2 infection to
grow unboundedly if and only if it has a strictly larger intensity than the
type 1 infection. If, instead, the initial type 1 infection is restricted to
the negative $x_1$-axis, it is shown that the type 2 infection at the origin
can also grow unboundedly when the infection types have the same intensity.


title: Dark Matter: A Multidisciplinary Approach

abstract:
  We review the current status of accelerator, direct and indirect Dark Matter
(DM) searches, focusing on the complementarity of different techniques and on
the prospects for discovery. After taking a census of present and upcoming
DM-related experiments, we review the motivations to go beyond an
"accelerator-only" approach, and highlight the benefits of multidisciplinarity
in the quest for DM.


title: Results from the NEMO 3 experiment

abstract:
  The aim of the NEMO 3 experiment is the search for neutrinoless double beta
decay and precise measurement of two-neutrino double beta decay of several
isotopes. The experiment has been taking data since 2003. Since no evidence for
neutrinoless double beta decay of Mo100 and Se82 has been found, a 90% C.L.
lower limit on the half-life of this process and corresponding upper limit on
the effective Majorana neutrino mass are derived. The data are also interpreted
in terms of alternative models, such as weak right-handed currents or Majoron
emission. In addition, NEMO 3 has performed precision measurements of the
two-neutrino double beta decay for seven different isotopes. The most recent
experimental results of NEMO 3 are presented in this paper.


title: Property (T) for non-unital C*-algebras

abstract:
  Inspired by the recent work of Bekka, we study two reasonable analogues of
property (T) for not necessarily unital C*-algebras. The stronger one of the
two is called ``property (T)'' and the weaker one is called ``property
(T_{e})''. It is shown that all non-unital C*-algebras do not have property (T)
(neither do their unitalizations). Moreover, all non-unital $\sigma$-unital
C*-algebras do not have property (T_e).


title:
Ensemble inequivalence, bicritical points and azeotropy for generalized
  Fofonoff flows

abstract:
  We present a theoretical description for the equilibrium states of a large
class of models of two-dimensional and geophysical flows, in arbitrary domains.
We account for the existence of ensemble inequivalence and negative specific
heat in those models, for the first time using explicit computations. We give
exact theoretical computation of a criteria to determine phase transition
location and type. Strikingly, this criteria does not depend on the model, but
only on the domain geometry. We report the first example of bicritical points
and second order azeotropy in the context of systems with long range
interactions.


title: Extreme gravitational lensing by supermassive black holes

abstract:
  Extreme gravitational lensing refers to the bending of photon trajectories
that pass very close to supermassive black holes and that cannot be described
in the conventional weak deflection limit. A complete analytical description of
the whole expected phenomenology has been achieved in the recent years using
the strong deflection limit. These progresses and possible directions for new
investigations are reviewed in this paper at a basic level. We also discuss the
requirements for future facilities aimed at detecting higher order
gravitational lensing images generated by the supermassive black hole in the
Galactic center.


title:
Measurement of the space-time interval between two events using the
  retarded and advanced times of each event with respect to a time-like
  world-line

abstract:
  Several recent studies have been devoted to investigating the limitations
that ordinary quantum mechanics and/or quantum gravity might impose on the
measurability of space-time observables. These analyses are often confined to
the simplified context of two-dimensional flat space-time and rely on a simple
procedure for the measurement of space-like distances based on the exchange of
light signals. We present a generalization of this measurement procedure
applicable to all three types of space-time intervals between two events in
space-times of any number of dimensions. We also present some preliminary
observations on an alternative measurement procedure that can be applied taking
into account the gravitational field of the measuring apparatus, and briefly
discuss quantum limitations of measurability in this context.


title:
Accretion and ejection properties of embedded protostars: the case of
  HH26, HH34 and HH46 IRS

abstract:
  We present the results of a near-IR spectroscopic analysis on 3 young
embedded sources (HH26IRS, HH34IRS and HH46IRS) belonging to different
star-forming regions and displaying well developed jet structures. The aim is
to investigate the source accretion and ejection properties and their
connection. We used VLT-ISAAC spectra (R~9000, H and K bands) to derive in a
self-consistent way parameters like the star luminosity, the accretion
luminosity and the mass accretion rate. Mass loss rates have also been
estimated from the analysis of different emission features. The spectra present
several emission lines but no photospheric features in absorption, indicating a
large veiling in H and K. We detected features commonly observed in jet-driving
sources (HI,[FeII],H_2,CO) and also a number of emission lines due to permitted
atomic transitions, like NaI and TiI. The NaI 2.2um doublet is observed along
with CO(2-0) band-head emission, indicating a common origin in an inner gaseous
disc heated by accretion. We find that accretion provides ~50% and ~80% of the
bolometric luminosity in HH26IRS and HH34IRS, as expected for accreting young
objects.Mass accretion and loss rates spanning 10^-8 - 10^-6 Msun/yr have been
measured. The derived Mloss/Macc is ~0.01 for HH26IRS and HH34IRS, and >0.1 for
HH46IRS, numbers that are in the range of values predicted by MHD jet-launching
models and found in the most active classical T Tauri stars. Comparison with
other similar studies seems to indicate that Class Is actually having
accretion- dominated luminosities are a limited number. Although the analysed
sample is small, we tentatively present some criteria to characterise such
sources. Studies like the one presented here but on larger samples of
candidates should be performed in order to test and refine these criteria.


title: Quantum matter wave dynamics with moving mirrors

abstract:
  When a stationary reflecting wall acting as a perfect mirror for an atomic
beam with well defined incident velocity is suddenly removed, the density
profile develops during the time evolution an oscillatory pattern known as
diffraction in time. The interference fringes are suppressed or their
visibility is diminished by several effects such as averaging over a
distribution of incident velocities, apodization of the aperture function,
atom-atom interactions, imperfect reflection or environmental noise. However,
when the mirror moves with finite velocity along the direction of propagation
of the beam, the visibility of the fringes is enhanced. For mirror velocities
below beam velocity, as used for slowing down the beam, the matter wave splits
into three regions separated by space-time points with classical analogues. For
mirror velocities above beam velocity a visibility enhancement occurs without a
classical counterpart. When the velocity of the beam approaches that of the
mirror the density oscillations rise by a factor 1.8 over the stationary value.


title: Universal cycles for permutations

abstract:
  A universal cycle for permutations is a word of length n! such that each of
the n! possible relative orders of n distinct integers occurs as a cyclic
interval of the word. We show how to construct such a universal cycle in which
only n+1 distinct integers are used. This is best possible and proves a
conjecture of Chung, Diaconis and Graham.


title:
Dynamics of a 1-D model for the emergence of the plasma edge shear flow
  layer with momentum conserving Reynolds stress

abstract:
  A one-dimensional version of the second-order transition model based on the
sheared flow amplification by Reynolds stress and turbulence supression by
shearing is presented. The model discussed in this paper includes a form of the
Reynolds stress which explicitly conserves momentum. A linear stability
analysis of the critical point is performed. Then, it is shown that the
dynamics of weakly unstable states is determined by a reduced equation for the
shear flow. In the case in which the flow damping term is diffusive, the
stationary solutions are those of the real Ginzburg-Landau equation.


title:
Flat-space picture of gravity vs. General Relativity: a precision test
  for present ether-drift experiments

abstract:
  Modern ether-drift experiments in vacuum could in principle detect the tiny
refractive index that, in a flat-space picture of gravity, is appropriate for
an apparatus placed on the Earth's surface. In this picture, in fact, if there
were a preferred reference frame, light on the Earth would exhibit a slight
anisotropy with definite quantitative differences from General Relativity. By
re-analyzing the data published by two modern experiments with rotating optical
resonators, and concentrating on the part of the signal that should be free of
spurious systematic effects, we have found evidences that would support the
flat-space scenario.


title:
Dynamics and geometry of the Rauzy-Veech induction for quadratic
  differentials

abstract:
  Interval exchange maps are related to geodesic flows on translation surfaces;
they correspond to the first return maps of the vertical flow on a transverse
segment. The Rauzy-Veech induction on the space of interval exchange maps
provides a powerful tool to analyze the Teichmueller geodesic flow on the
moduli space of Abelian differentials. Several major results have been proved
using this renormalization.
  Danthony and Nogueira introduced in 1988 a natural generalization of interval
exchange transformations, namely the linear involutions. These maps are related
to general measured foliations on surfaces (orientable or not). In this paper
we are interested by such maps related to geodesic flow on (orientable) flat
surfaces with Z/2Z linear holonomy. We relate geometry and dynamics of such
maps to the combinatorics of generalized permutations. We study an analogue of
the Rauzy-Veech induction and give an efficient combinatorial characterization
of its attractors. We establish a natural bijection between the extended Rauzy
classes of generalized permutations and connected components of the strata of
meromorphic quadratic differentials with at most simple poles, which allows, in
particular, to classify the connected components of all exceptional strata.


title: The Capabilities of Monochromatic EC Neutrino Beams with the SPS Upgrade

abstract:
  The goal for future neutrino facilities is the determination of the U(e3)
mixing and CP violation in neutrino oscillations. This will require precision
experiments with a very intense neutrino source and energy control. With this
objective in mind, the creation of monochromatic neutrino beams from the
electron capture decay of boosted ions by the SPS of CERN has been proposed. We
discuss the capabilities of such a facility as a function of the energy of the
boost and the baseline for the detector. We conclude that the SPS upgrade to
1000 GeV is crucial to reach a better sensitivity to CP violation iff it is
accompanied by a longer baseline. We compare the physics potential for two
different configurations: I) $\gamma=90$ and $\gamma=195$ (maximum achievable
at present SPS) to Frejus; II) $\gamma=195$ and $\gamma=440$ (maximum
achievable at upgraded SPS) to Canfranc. The main conclusion is that, whereas
the gain in the determination of U(e3) is rather modest, setup II provides much
better sensitivity to CP violation.


title: Analysis of CLAS data on double charge pion electroproduction

abstract:
  Recent developments in phenomenological analysis of the CLAS data on 2$\pi$
electroproduction are presented. The contributions from isobar channels and
$P_{11}(1440)$, $D_{13}(1520)$ electrocouplings at $Q^{2}$ from 0.25 to 0.6
GeV$^2$ were determined from the analysis of comprehensive data on differential
and fully integrated 2$\pi$ cross sections. Experiment Numbers: E94-005 Group:
Hall B


title:
Signatures of molecular correlations in the few-electron dynamics of
  coupled quantum dots

abstract:
  We study the effect of Coulomb interaction on the few-electron dynamics in
coupled semiconductor quantum dots by exact diagonalization of the few-body
Hamiltonian. The oscillation of carriers is strongly affected by the number of
confined electrons and by the strength of the interdot correlations.
Single-frequency oscillations are found for either uncorrelated or highly
correlated states, while multi-frequency oscillations take place in the
intermediate regime. Moreover, Coulomb interaction renders few-particle
oscillations sensitive to perturbations in spatial directions other than that
of the tunneling, contrary to the single-particle case. The inclusion of
acoustic phonon scattering does not modify the carrier dynamics substantially
at short times, but can damp oscillation modes selectively at long times.


title: Matter sources for a Null Big Bang

abstract:
  We consider the properties of stress-energy tensors compatible with a Null
Big Bang, i.e., cosmological evolution starting from a Killing horizon rather
than a singularity. For Kantowski-Sachs cosmologies, it is shown that if matter
satisfies the Null Energy Condition (NEC), then (i) regular cosmological
evolution can only start from a Killing horizon, (ii) matter is absent at the
horizon, and (iii) matter can only appear in the cosmological region due to
interaction with vacuum. The latter is understood phenomenologically as a fluid
whose stress tensor is insensitive to boosts in a particular direction. We also
argue that matter is absent in a static region beyond the horizon. All this
generalizes the observations recently obtained for a mixture of dust and a
vacuum fluid. If, however, we admit the existence of phantom matter, its
certain special kinds (with the parameter $w \leq -3$) are consistent with a
Null Big Bang without interaction with vacuum (or without vacuum fluid at all).
Then in the static region there is matter with $w\geq -1/3$. Alternatively, the
evolution can begin from a horizon in an infinitely remote past, leading to a
scenario combining the features of a Null Big Bang and an emergent universe.


title: Electromagnetic Mass Models in General Theory of Relativity

abstract:
  "Electromagnetic mass" where gravitational mass and other physical quantities
originate from the electromagnetic field alone has a century long distinguished
history. In the introductory chapter we have divided this history into three
broad categories -- classical, quantum mechanical and general relativistic.
Each of the categories has been described at a length to get the detailed
picture of the physical background. Recent developments on Repulsive
Electromagnetic Mass Models are of special interest in this introductory part
of the thesis. In this context we have also stated motivation of our work. In
the subsequent chapters we have presented our results and their physical
significances. It is concluded that the electromagnetic mass models which are
the sources of purely electromagnetic origin ``have not only heuristic flavor
associated with the conjecture of Lorentz but even a physics having
unconventional yet novel features characterizing their own contributions
independent of the rest of the physics".


title: Precision tests with Kl3 and Kl2 decays

abstract:
  The analysis made in 2000 indicated that the unitarity relation Vud^2 + Vus^2
+ Vub^2 = 1 might be broken at the 2.3 sigma level. At that time, however, Vus
was inferred from old experimental data. Since then, a great experimental and
theoretical effort has been invested to understand the source of that
discrepancy. Thanks to the new and improved measurements by BNL-E865, KLOE,
KTeV, ISTRA+ and NA48, the old Kl3 decay rate got shifted so that the new Vus
is now consistent with unitarity. On the theory side, much progress in the
lattice QCD has been made in order to tame the systematic uncertainties related
to the computation of the Kl3 form factors.
  This joint progress allowed to assess the validity of the CKM unitarity
relation at the level of less than 1%. The key challenge of the future lattice
studies will be to simulate lighter pions in the region in which ChPT
predictions apply. Also interesting is the recent progress in accurately
computing the kaon and pion decay constants on the lattice, which then give us
access to Vus and Vud from the corresponding leptonic decays.
  In addition, we discuss that the Kl3 and Kl2 decays offer the possibility to
test various scenarios of physics beyond Standard Model.


title:
Dominant next-to-leading order QCD corrections to Higgs plus three jet
  production in vector-boson fusion

abstract:
  We present the calculation of the dominant next to leading order QCD
corrections to Higgs boson production in association with three jets via vector
boson fusion in the form of a NLO parton-level Monte Carlo program. QCD
corrections to integrated cross sections are modest, while the shapes of some
kinematical distributions change appreciably at NLO. Scale uncertainties are
shown to be reduced at NLO for the total cross section and for distributions.
We consider a central jet veto at the LHC and analyze the veto probability for
typical vector boson fusion cuts. Scale uncertainties of the veto probability
are sufficiently small at NLO for precise Higgs coupling measurements at the
LHC.


title: Rydberg excitation of Bose-Einstein condensates

abstract:
  Rydberg atoms provide a wide range of possibilities to tailor interactions in
a quantum gas. Here we report on Rydberg excitation of Bose-Einstein condensed
87Rb atoms. The Rydberg fraction was investigated for various excitation times
and temperatures above and below the condensation temperature. The excitation
is locally blocked by the van der Waals interaction between Rydberg atoms to a
density-dependent limit. Therefore the abrupt change of the thermal atomic
density distribution to the characteristic bimodal distribution upon
condensation could be observed in the Rydberg fraction. The observed features
are reproduced by a simulation based on local collective Rydberg excitations.


title:
Experimental determination of the Berry phase in a superconducting
  charge pump

abstract:
  We present the first measurements of the Berry phase in a superconducting
Cooper pair pump. A fixed amount of Berry phase is accumulated to the
quantum-mechanical ground state in each adiabatic pumping cycle, which is
determined by measuring the charge passing through the device. The dynamic and
geometric phases are identified and measured quantitatively from their
different response when pumping in opposite directions. Our observations, in
particular, the dependencies of the dynamic and geometric effects on the
superconducting phase bias across the pump, agree with the basic theoretical
model of coherent Cooper pair pumping.


title:
Deep-space laser-ranging missions ASTROD (Astrodynamical Space Test of
  Relativity using Optical Devices) and ASTROD I for astrodynamics and
  astrometry

abstract:
  Deep-space laser ranging will be ideal for testing relativistic gravity, and
mapping the solar-system to an unprecedented accuracy. ASTROD (Astrodynamical
Space Test of Relativity using Optical Devices) and ASTROD I are such missions.
ASTROD I is a mission with a single spacecraft; it is the first step of ASTROD
with 3 spacecraft. In this talk, after a brief review of ASTROD and ASTROD I,
we concentrate of the precision of solar astrodynamics that can be achieved
together with implications on astrometry and reference frame transformations.
The precision planetary ephemeris derived from these missions together with
second post-Newtonian test of relativistic gravity will serve as a foundation
for future precise astrometry observations. Relativistic frameworks are
discussed from these considerations.


title:
A simple computational method for the identification of
  disease-associated loci in complex, incomplete pedigrees

abstract:
  We present an approach, called the "Shadow Method," for the identification of
disease loci from dense genetic marker maps in complex, potentially incomplete
pedigrees. "Shadow" is a simple method based on an analysis of the patterns of
obligate meiotic recombination events in genotypic data. This method can be
applied to any high density marker map and was specifically designed to exploit
the fact that extremely dense marker maps are becoming more readily available.
We also describe how to interpret and associate meaningful P-Values to the
results. Shadow has significant advantages over traditional parametric linkage
analysis methods in that it can be readily applied even in cases in which the
topology of a pedigree or pedigrees can only be partially determined. In
addition, Shadow is robust to variability in a range of parameters and in
particular does not require prior knowledge of mode of inheritance, penetrance
or clinical misdiagnosis rate. Shadow can be used for any SNP data, but is
especially effective when applied to dense samplings. Our primary example uses
data from Affymetrix 100k SNPChip samples in which we illustrate our approach
by analyzing simulated data as well as genome-wide SNP data from two pedigrees
with inherited forms of kidney failure, one of which is compared with a typical
LOD score analysis.


title:
Control of test particle transport in a turbulent electrostatic model of
  the Scrape Off Layer

abstract:
  The ${\bm E}\times{\bm B}$ drift motion of charged test particle dynamics in
the Scrape Off Layer (SOL)is analyzed to investigate a transport control
strategy based on Hamiltonian dynamics. We model SOL turbulence using a 2D
non-linear fluid code based on interchange instability which was found to
exhibit intermittent dynamics of the particle flux. The effect of a small and
appropriate modification of the turbulent electric potential is studied with
respect to the chaotic diffusion of test particle dynamics. Over a significant
range in the magnitude of the turbulent electrostatic field, a three-fold
reduction of the test particle diffusion coefficient is achieved.


title: On the ambiguity of the interfering resonances parameters determination

abstract:
  In this paper the interfering resonances parameters determination ambiguity
is considered. It is shown that there are two solutions for two fixed width
resonances. Analytical relation between different solutions is derived. Numeric
experiments for fixed width three and four resonances, and for model
energy-dependent width two resonances confirm ambiguity of the resonances
parameters determination.


title: Historic mass loss from the RS Ophiuchi system

abstract:
  Dust has been detected in the recurrent nova RS Ophiuchi on several
occassions. I model the historical mid-infrared photometry and a recent Spitzer
Space Telescope spectrum taken only half a year after the 2006 eruption. The
dust envelope is little affected by the eruptions. I show evidence that the
eruptions and possibly the red giant wind of RS Oph may sculpt the interstellar
medium, and show similar evidence for the recurrent dwarf nova T Pyxidis.


title: Mechanical Measurements of the ALMA Prototype Antennas

abstract:
  The specifications of the Atacama Large Millimeter Array (ALMA) have placed
stringent requirements on the mechanical performance of its antennas. As part
of the evaluation process of the VertexRSI and Alcatel EIE Consortium (AEC)
ALMA prototype antennas, measurements of the path length, thermal, and azimuth
bearing performance were made under a variety of weather conditions and
observing modes. The results of mechanical measurements, reported here, are
compared to the antenna specifications.


abstract:
  The fully relativistic theory of the g factor of Li-like ions with nonzero
nuclear spin is considered for the (1s)^2 2s state. The magnetic-dipole
hyperfine-interaction correction to the atomic g factor is calculated including
the one-electron contributions as well as the interelectronic-interaction
effects of order 1/Z. This correction is combined with the
interelectronic-interaction, QED, nuclear recoil, and nuclear size corrections
to obtain high-precision theoretical values for the g factor of Li-like ions
with nonzero nuclear spin. The results can be used for a precise determination
of nuclear magnetic moments from g factor experiments.


title: Scheme for implementing atomic multiport devices

abstract:
  Multiport generalizations of beam splitters are the key component in
multipath interferometers, which are important in a range of quantum state
engineering and precision measurement schemes. Here we propose a
straightforward method for implementing multiport devices for atoms trapped in
optical ring lattices. These devices are interesting as atoms have certain
properties (such as mass) that photons do not and the ring configuration makes
them useful for applications such as precision gyroscopes. We discuss how they
could be employed in useful measurement schemes and investigate how practical
considerations limit the size of the devices that can be achieved by this
method.


title: Turbulent viscosity and Lambda-effect from numerical turbulence models

abstract:
  Homogeneous anisotropic turbulence simulations are used to determine
off-diagonal components of the Reynolds stress tensor and its parameterization
in terms of turbulent viscosity and Lambda-effect. The turbulence is forced in
an anisotropic fashion by enhancing the strength of the forcing in the vertical
direction. The Coriolis force is included with a rotation axis inclined
relative to the vertical direction. The system studied here is significantly
simpler than that of turbulent stratified convection which has often been used
to study Reynolds stresses. Certain puzzling features of the results for
convection, such as sign changes or highly concentrated latitude distributions,
are not present in the simpler system considered here.


title: Casimir energy of a spherical shell in $\kappa-$Minkowski spacetime

abstract:
  We study the Casimir energy of a spherical shell of radius $a$ in
$\kappa$-Minkowski spacetime for a complex field with an asymmetric ordering
and obtain the energy up to $O(1/\kappa^2)$. We show that the vacuum breaks
particle and anti-particle symmetry if one requires the spectra to be
consistent with the blackbody radiation at the commutative limit.


title: Kuranishi homology and Kuranishi cohomology: a User's Guide

abstract:
  A Kuranishi space is a topological space with a Kuranishi structure, defined
by Fukaya and Ono. Kuranishi structures occur naturally on moduli spaces of
J-holomorphic curves in symplectic geometry.
  This paper is a brief introduction to the author's book arXiv:0707.3572. Let
Y be an orbifold and R a Q-algebra. We define the Kuranishi homology KH_*(Y;R)
of Y with coefficients in R. The chain complex KC_*(Y;R) defining KH_*(Y;R) is
spanned over R by [X,f,G], for X a compact oriented Kuranishi space with
corners, f : X --> Y smooth, and G "gauge-fixing data" which makes Aut(X,f,G)
finite. Our main result is that KH_*(Y;R) is isomorphic to singular homology.
  We define a Poincare dual theory of Kuranishi cohomology KH^*(Y;R),
isomorphic to compactly-supported cohomology, using a cochain complex KC^*(Y;R)
spanned over R by [X,f,C], for X a compact Kuranishi space with corners, f : X
--> Y a submersion, and C "co-gauge-fixing data". We also define simpler
theories of Kuranishi bordism KB_*(Y;R) and Kuranishi cobordism KB^*(Y;R), for
R a commutative ring. These are new topological invariants, and we show they
are very large.
  These theories are powerful new tools in symplectic geometry. Defining
virtual cycles and chains for moduli spaces of J-holomorphic curves is trivial
in Kuranishi (co)homology. There is no need to perturb moduli spaces, and no
problems with transversality. This gives major simplifications in Lagrangian
Floer cohomology.


title:
Consistency Condition of Spherically Symmetric Solutions in $f(R)$
  Gravity

abstract:
  In this work we study the spherical symmetric solutions of $f(R)$ gravity in
the metric formalism. We show that for a generic $f(R)$ gravity, the spherical
symmetric solution is consistent with the modified gravity equations except in
the case of imposing an extra condition for the metric.


title: Where is the matter in the Merging Cluster Abell 2218?

abstract:
  We present a parametric strong lensing model of the cluster Abell 2218 based
on HST ACS data. We constrain the lens model using 8 previously known multiply
imaged systems, of which 7 have spectroscopically confirmed redshifts. In
addition, we propose five candidate multiply imaged systems and estimate their
redshifts using our mass model. The model parameters are optimized in the
source plane by a bayesian Monte Carlo Markov Chain as implemented in the the
publicly available software Lenstool. We find rms=0."12 for the scatter of the
sources in the source plane, which translates into rms=1."49 between the
predicted and measured image positions in the image plane. We find that the
projected mass distribution of Abell 2218 is bimodal, which is supported by an
analysis of the light distribution. We also find evidence for two structures in
velocity space, separated by ~1000 km/s, corresponding to the two large scale
dark matter clumps. We find that the lensing constraints can not be well
reproduced using only dark matter halos associated with the cluster galaxies,
but that the dark matter is required to be smoothly distributed in large scale
halos. At 100" the enclosed projected mass is 3.8e14 solar masses. At that
radius, the large scale halos contribute ~85% of the mass. We find that the
model is not very sensitive to the fainter galaxy sized halos, unless they
locally perturb a given multiply imaged system. Therefore, dark galaxy sized
substructure can be reliably constrained only if it locally perturbs one of the
systems. In an appendix we give a self-contained description of the parametric
profile we use, the dual pseudo isothermal elliptical mass distribution (dPIE).
This profile is a two component pseudo isothermal mass distribution (PIEMD)
with both a core radii and a scale radii. (Abridged)


title: A method of open cluster membership determination

abstract:
  A new method for the determination of open cluster membership based on a
cumulative effect is proposed. In the field of a plate the relative x and y
coordinate positions of each star with respect to all the other stars are
added. The procedure is carried out for two epochs t_1 and t_2 separately, then
one sum is subtracted from another. For a field star the differences in its
relative coordinate positions of two epochs will be accumulated. For a cluster
star, on the contrary, the changes in relative positions of cluster members at
t_1 and t_2 will be very small. On the histogram of sums the cluster stars will
gather to the left of the diagram, while the field stars will form a tail to
the right. The procedure allows us to efficiently discriminate one group from
another. The greater the distance between t_1 and t_2 and the more cluster
stars present, the greater is the effect. The accumulation method does not
require reference stars, determination of centroids and modelling the
distribution of field stars, necessary in traditional methods. By the proposed
method 240 open clusters have been processed, including stars up to m<13. The
membership probabilities have been calculated and compared to those obtained by
the most commonly used Vasilevskis-Sanders method. The similarity of the
results acquired the two different approaches is satisfactory for the majority
of clusters.


title:
Towards classification of simple finite dimensional modular Lie
  superalgebras

abstract:
  A way to construct (conjecturally all) simple finite dimensional modular Lie
(super)algebras over algebraically closed fields of characteristic not 2 is
offered. In characteristic 2, the method is supposed to give only simple Lie
(super)algebras graded by integers and only some of the non-graded ones). The
conjecture is backed up with the latest results computationally most difficult
of which are obtained with the help of Grozman's software package SuperLie.


title:
Central and non-central limit theorems for weighted power variations of
  fractional Brownian motion

abstract:
  In this paper, we prove some central and non-central limit theorems for
renormalized weighted power variations of order q>=2 of the fractional Brownian
motion with Hurst parameter H in (0,1), where q is an integer. The central
limit holds for 1/(2q)<H<= 1-1/(2q), the limit being a conditionally Gaussian
distribution. If H<1/(2q), we show the convergence in L^2 to a limit which only
depends on the fractional Brownian motion, and if H> 1-1/(2q), we show the
convergence in L^2 to a stochastic integral with respect to the Hermite process
of order q.


title:
LDPC-Based Iterative Algorithm for Compression of Correlated Sources at
  Rates Approaching the Slepian-Wolf Bound

abstract:
  This article proposes a novel iterative algorithm based on Low Density Parity
Check (LDPC) codes for compression of correlated sources at rates approaching
the Slepian-Wolf bound. The setup considered in the article looks at the
problem of compressing one source at a rate determined based on the knowledge
of the mean source correlation at the encoder, and employing the other
correlated source as side information at the decoder which decompresses the
first source based on the estimates of the actual correlation. We demonstrate
that depending on the extent of the actual source correlation estimated through
an iterative paradigm, significant compression can be obtained relative to the
case the decoder does not use the implicit knowledge of the existence of
correlation.


title: Tight homomorphisms and Hermitian symmetric spaces

abstract:
  We introduce the notion of tight homomorphism into a locally compact group
with nonvanishing bounded cohomology and study these homomorphisms in detail
when the target is a Lie group of Hermitian type. Tight homomorphisms between
Lie groups of Hermitian type give rise to tight totally geodesic maps of
Hermitian symmetric spaces. We show that tight maps behave in a functorial way
with respect to the Shilov boundary and use this to prove a general structure
theorem for tight homomorphisms. Furthermore we classify all tight embeddings
of the Poincare' disk.


title:
Circulant matrices, gauss sums and mutually unbiased I. The prime number
  case

abstract:
  In this paper, we consider the problem of Mutually Unbiased Bases in prime
dimension $d$. It is known to provide exactly $d+1$ mutually unbiased bases. We
revisit this problem using a class of circulant $d \times d$ matrices. The
constructive proof of a set of $d+1$ mutually unbiased bases follows, together
with a set of properties of Gauss sums, and of bi-unimodular sequences.


title:
Block circulant matrices with circulant blocks, weil sums and mutually
  unbiased bases, II. The prime power case

abstract:
  In our previous paper \cite{co1} we have shown that the theory of circulant
matrices allows to recover the result that there exists $p+1$ Mutually Unbiased
Bases in dimension $p$, $p$ being an arbitrary prime number. Two orthonormal
bases $\mathcal B, \mathcal B'$ of $\mathbb C^d$ are said mutually unbiased if
$\forall b\in \mathcal B, \forall b' \in \mathcal B'$ one has that $$| b\cdot
b'| = \frac{1}{\sqrt d}$$ ($b\cdot b'$ hermitian scalar product in $\mathbb
C^d$). In this paper we show that the theory of block-circulant matrices with
circulant blocks allows to show very simply the known result that if $d=p^n$
($p$ a prime number, $n$ any integer) there exists $d+1$ mutually Unbiased
Bases in $\mathbb C^d$. Our result relies heavily on an idea of Klimov, Munoz,
Romero \cite{klimuro}. As a subproduct we recover properties of quadratic Weil
sums for $p\ge 3$, which generalizes the fact that in the prime case the
quadratic Gauss sums properties follow from our results.


title: Thermodynamics from a scaling Hamiltonian

abstract:
  There are problems with defining the thermodynamic limit of systems with
long-range interactions; as a result, the thermodynamic behavior of these types
of systems is anomalous. In the present work, we review some concepts from both
extensive and nonextensive thermodynamic perspectives. We use a model, whose
Hamiltonian takes into account spins ferromagnetically coupled in a chain via a
power law that decays at large interparticle distance $r$ as $1/r^{\alpha}$ for
$\alpha\geq0$. Here, we review old nonextensive scaling. In addition, we
propose a new Hamiltonian scaled by $2\frac{(N/2)^{1-\alpha}-1}{1-\alpha}$ that
explicitly includes symmetry of the lattice and dependence on the size, $N$, of
the system. The new approach enabled us to improve upon previous results. A
numerical test is conducted through Monte Carlo simulations. In the model,
periodic boundary conditions are adopted to eliminate surface effects.


title:
The SEGUE Stellar Parameter Pipeline. I. Description and Initial
  Validation Tests

abstract:
  We describe the development and implementation of the SEGUE (Sloan Extension
for Galactic Exploration and Understanding) Stellar Parameter Pipeline (SSPP).
The SSPP derives, using multiple techniques, radial velocities and the
fundamental stellar atmospheric parameters (effective temperature, surface
gravity, and metallicity) for AFGK-type stars, based on medium-resolution
spectroscopy and $ugriz$ photometry obtained during the course of the original
Sloan Digital Sky Survey (SDSS-I) and its Galactic extension (SDSS-II/SEGUE).
The SSPP also provides spectral classification for a much wider range of stars,
including stars with temperatures outside of the window where atmospheric
parameters can be estimated with the current approaches. This is Paper I in a
series of papers on the SSPP; it provides an overview of the SSPP, and initial
tests of its performance using multiple data sets. Random and systematic errors
are critically examined for the current version of the SSPP, which has been
used for the sixth public data release of the SDSS (DR-6).


title: On the Hopf Algebra of Rooted Trees

abstract:
  We find a formula to compute the number of the generators, which generate the
$n$-filtered space of Hopf algebra of rooted trees, i.e. the number of
equivalent classes of rooted trees with weight $n$. Applying Hopf algebra of
rooted trees, we show that the analogue of Andruskiewitsch and Schneider's
Conjecture is not true. The Hopf algebra of rooted trees and the enveloping
algebra of the Lie algebra of rooted trees are two important examples of Hopf
algebras. We give their representation and show that they have not any nonzero
integrals. We structure their graded Drinfeld doubles and show that they are
local quasitriangular Hopf algebras.


title: Weak low-energy couplings from topological zero-mode wavefunctions

abstract:
  We discuss a new method to determine the low-energy couplings of the $\Delta
S=1$ weak Hamiltonian in the $\epsilon$-regime. It relies on a matching of the
topological poles in $1/m^2$ of three-point functions of two pseudoscalar
densities and a four-fermion operator computed in lattice QCD, to the same
observables in the Chiral Effective Theory. We present the results of a NLO
computation in chiral perturbation theory of these correlation functions
together with some preliminary numerical results.


title: The open mapping theorem and the fundamental theorem of algebra

abstract:
  This note is devoted to two classical theorems: the open mapping theorem for
analytic functions (OMT) and the fundamental theorem of algebra (FTA). We
present a new proof of the first theorem, and then derive the second one by a
simple topological argument. The proof is elementary in nature and does not use
any kind of integration (neither complex nor real). In addition, it is also
independent of the fact that the roots of an analytic function are isolated.
The proof is based on either the Banach or Brouwer fixed point theorems. In
particular, this shows that one can obtain a proof of the FTA (albeit indirect)
which is based on the Brouwer fixed point theorem, an aim which was not reached
in the past and later the possibility to achieve it was questioned. We close
this note with a simple generalization of the FTA. A short review of certain
issues related to the OMT and the FTA is also included.


title: Fitting DVCS at NLO and beyond

abstract:
  We outline the twist-two analysis of deeply virtual Compton scattering
(DVCS)within the conformal partial wave expansion of the amplitude, represented
as a Mellin--Barnes integral. The complete next-to-leading order results,
including evolution, are obtained in the MS and a conformal factorization
scheme. Within the latter, exploiting conformal symmetry, the radiative
corrections are evaluated up to next-to-next-to-leading order. Using a new
proposed parameterization for GPDs, we study the convergence of perturbation
theory and demonstrate for H1 and ZEUS measurements that our formalism is
suitable for a fitting procedure of DVCS observables. We comment on a recent
claim of a breakdown of collinear factorization and show that a Regge-inspired
Q^2 scaling law is ruled out by small x_Bj DVCS data.


title:
$\eta$ and $\eta'$ mesons in the Dyson-Schwinger approach using a
  generalization of the Witten-Veneziano relation

abstract:
  The description of the $\eta$ and $\eta^\prime$ mesons in the Dyson-Schwinger
approach has relied on the Witten-Veneziano relation. The present paper
explores the consequences of using instead its generalization recently proposed
by Shore. On the examples of three different model interactions, we find that
irrespective of the concrete model dynamics, our Dyson-Schwinger approach is
phenomenologically more successful in conjunction with the standard
Witten-Veneziano relation than with the proposed generalization valid in all
orders in the $1/N_c$ expansion.


title:
A proof that tidal heating in a synchronous rotation is always larger
  than in an asymptotic nonsynchronous rotation state

abstract:
  In a recent paper, Wisdom (2007, Icarus, in press) derived concise
expressions for the rate of tidal dissipation in a synchronously rotating body
for arbitrary orbital eccentricity and obliquity. He provided numerical
evidence than the derived rate is always larger than in an asymptotic
nonsynchronous rotation state at any obliquity and eccentricity. Here, I
present a simple mathematical proof of this conclusion and show that this
result still holds for any spin-orbit resonance.


title:
The structure of Green functions in quantum field theory with a general
  state

abstract:
  In quantum field theory, the Green function is usually calculated as the
expectation value of the time-ordered product of fields over the vacuum. In
some cases, especially in degenerate systems, expectation values over general
states are required. The corresponding Green functions are essentially more
complex than in the vacuum, because they cannot be written in terms of standard
Feynman diagrams. Here, a method is proposed to determine the structure of
these Green functions and to derive nonperturbative equations for them. The
main idea is to transform the cumulants describing correlations into
interaction terms.


title:
Time-dependent quasi-Hermitian Hamiltonians and the unitarity of quantum
  evolution

abstract:
  We show that the consequences of an introduction of a manifest
time-dependence in a pseudo-Hermitian Hamiltonian H=H(t) are by far less
drastic than suggested by A. Mostafazadeh in Phys. Lett. B 650 (2007) 208
(arXiv:0706.1872v2 [quant-ph]). In particular, the unitarity of the evolution
does not necessitate the time-independence of the metric $\eta_+=\eta_+(t)$.


title: Core blocks of Ariki-Koike algebras II: the weight of a core block

abstract:
  We study combinatorial blocks of multipartitions, exploring further the
notions of weight, hub and core block introduced by the author in earlier
papers. We answer the question of which pairs (w,theta) occur as the weight and
hub of a block, and we examine the action of the affine Weyl group on the set
of blocks.


abstract:
  Classification of integrable Vlasov-type equations is reduced to a functional
equation for a generating function. A general solution of this functional
equation is found in terms of hypergeometric functions.


title: Slowly rotating wormholes: the first order approximation

abstract:
  We discuss a solution describing a rotating wormhole in the theory of gravity
with a scalar field with negative kinetic energy. To solve the problem we use
the assumption about slow rotation. The role of a small dimensionless parameter
plays the ratio of the linear velocity of rotation of the wormhole's throat and
the velocity of light. The rotating wormhole solution is constructed in the
framework of the first order approximation with respect to the small parameter.
We analyze the obtained solution and study the motion of test particles and the
propagation of light in the spacetime of rotating wormhole.


title:
Thermodynamics and Relativity: A Revised Interpretation of the Concepts
  of Reversibility and Irreversibility

abstract:
  It is generally admitted in thermodynamics that, for a given change in
volume, the work done by a system is greater in conditions of reversibility
than in conditions of irreversibility. If the basic conventions of physics are
strictly respected, it seems that this proposition needs to be reversed. Beyond
this formal aspect, the discussion consolidates the idea that thermodynamics
and relativity are closely connected.


abstract:
  The paper summarizes the parallel session B3 {\em Analytic approximations,
perturbation methods, and their applications} of the GR18 conference. The talks
in the session reported notably recent advances in black hole perturbations and
post-Newtonian approximations as applied to sources of gravitational waves.


title: Model Checking Synchronized Products of Infinite Transition Systems

abstract:
  Formal verification using the model checking paradigm has to deal with two
aspects: The system models are structured, often as products of components, and
the specification logic has to be expressive enough to allow the formalization
of reachability properties. The present paper is a study on what can be
achieved for infinite transition systems under these premises. As models we
consider products of infinite transition systems with different synchronization
constraints. We introduce finitely synchronized transition systems, i.e.
product systems which contain only finitely many (parameterized) synchronized
transitions, and show that the decidability of FO(R), first-order logic
extended by reachability predicates, of the product system can be reduced to
the decidability of FO(R) of the components. This result is optimal in the
following sense: (1) If we allow semifinite synchronization, i.e. just in one
component infinitely many transitions are synchronized, the FO(R)-theory of the
product system is in general undecidable. (2) We cannot extend the expressive
power of the logic under consideration. Already a weak extension of first-order
logic with transitive closure, where we restrict the transitive closure
operators to arity one and nesting depth two, is undecidable for an
asynchronous (and hence finitely synchronized) product, namely for the infinite
grid.


title:
Systematic Model Building Based on Quark-Lepton Complementarity
  Assumptions

abstract:
  In this talk, we present a procedure to systematically generate a large
number of valid mass matrix textures from very generic assumptions. Compared to
plain anarchy arguments, we postulate some structure for the theory, such as a
possible connection between quarks and leptons, and a mechanism to generate
flavor structure. We illustrate how this parameter space can be used to test
the exclusion power of future experiments, and we point out that one can
systematically generate embeddings in Z_N product flavor symmetry groups.


title: Hopf algebras of diagrams

abstract:
  We investigate several Hopf algebras of diagrams related to Quantum Field
Theory of Partitions and whose product comes from the Hopf algebras WSym or
WQSym respectively built on integer set partitions and set compositions. Bases
of these algebras are indexed either by bipartite graphs (labelled or
unlabbeled) or by packed matrices (with integer or set coefficients).
Realizations on biword are exhibited, and it is shown how these algebras fit
into a commutative diagram. Hopf deformations and dendriform structures are
also considered for some algebras in the picture.


title: Physics of crypto-Hermitian and/or cryptosupersymmetric field theories

abstract:
  We discuss non-Hermitian field theories where the spectrum of the Hamiltonian
involves only real energies. We make three observations. (i) The theories
obtained from supersymmetric theories by nonanticommutative deformations belong
in many cases to this class. (ii) When the deformation parameter is small, the
deformed theory enjoys the same supersymmetry algebra as the undeformed one.
Half of the supersymmetries are manifest and the existence of another half can
be deduced from the structure of the spectrum. (iii) Generically, the
conventionally defined S--matrix is not unitary for such theories.


title: Constructing networks of defects with scalar fields

abstract:
  We propose a new way to build networks of defects. The idea takes advantage
of the deformation procedure recently employed to describe defect structures,
which we use to construct networks, spread from small rudimentary networks that
appear in simple models of scalar fields.


title: The PANDA Experiment at FAIR

abstract:
  The physics program of the future FAIR facility covers a wide range of topics
that address central issues of strong interactions and QCD. The antiproton beam
of unprecedented quality in the momentum range from 1 GeV/c to 15 GeV/c will
allow the PANDA experiment to make high precision, high statistics
measurements, which include charmonium and open charm spectroscopy, the search
for exotic hadrons and the study of in-medium modifications of hadron masses.


title:
A mathematical model quantifies proliferation and motility effects of
  TGF--$\beta$ on cancer cells

abstract:
  Transforming growth factor (TGF) $\beta$ is known to have properties of both
a tumor suppressor and a tumor promoter. While it inhibits cell proliferation,
it also increases cell motility and decreases cell--cell adhesion. Coupling
mathematical modeling and experiments, we investigate the growth and motility
of oncogene--expressing human mammary epithelial cells under exposure to
TGF--$\beta$. We use a version of the well--known Fisher--Kolmogorov equation,
and prescribe a procedure for its parametrization. We quantify the simultaneous
effects of TGF--$\beta$ to increase the tendency of individual cells and cell
clusters to move randomly and to decrease overall population growth. We
demonstrate that in experiments with TGF--$\beta$ treated cells \textit{in
vitro}, TGF--$\beta$ increases cell motility by a factor of 2 and decreases
cell proliferation by a factor of 1/2 in comparison with untreated cells.


title: The Entropy Photon-Number Inequality and its Consequences

abstract:
  Determining the ultimate classical information carrying capacity of
electromagnetic waves requires quantum-mechanical analysis to properly account
for the bosonic nature of these waves. Recent work has established capacity
theorems for bosonic single-user, broadcast, and wiretap channels, under the
presumption of two minimum output entropy conjectures. Despite considerable
accumulated evidence that supports the validity of these conjectures, they have
yet to be proven. Here we show that the preceding minimum output entropy
conjectures are simple consequences of an Entropy Photon-Number Inequality,
which is a conjectured quantum-mechanical analog of the Entropy Power
Inequality (EPI) from classical information theory.


title: Giant Planet Formation by Core Accretion

abstract:
  We present a review of the standard paradigm for giant planet formation, the
core accretion theory. After an overview of the basic concepts of this model,
results of the original implementation are discussed. Then, recent improvements
and extensions, like the inclusion of planetary migration and the resulting
effects are discussed. It is shown that these improvement solve the timescale
problem. Finally, it is shown that by means of generating synthetic populations
of (extrasolar) planets, core accretion models are able to reproduce in a
statistically significant way the actually observed planetary population.


title: Theoretical study of NMR relaxation due to rattling phonons

abstract:
  We calculate the NMR relaxation rate due to quadrupolar coupling of the
nucleus to a local, strongly anharmonic phonon mode. As a model potential for a
rattling motion we consider a square-well potential. We calculate the free
phonon Green's function analytically and derive the low and high temperature
limits of the NMR relaxation rate. It is shown that the temperature dependence
of the NMR relaxation rate possesses a peak in contrast to harmonic phonons but
in qualitative agreement with a recent NMR study on KOs2O6. We discuss the
influence of phonon renormalization due to electron-phonon interaction.


title:
Graphs with extremal energy should have a small number of distinct
  eigenvalues

abstract:
  The sum of the absolute values of the eigenvalues of a graph is called the
energy of the graph. We study the problem of finding graphs with extremal
energy within specified classes of graphs. We develop tools for treating such
problems and obtain some partial results. Using calculus, we show that an
extremal graph ``should'' have a small number of distinct eigenvalues. However,
we also present data that shows in many cases that extremal graphs can have a
large number of distinct eigenvalues.


title: An Elegant Method for Generating Multivariate Poisson Random Variable

abstract:
  Generating multivariate Poisson data is essential in many applications.
Current simulation methods suffer from limitations ranging from computational
complexity to restrictions on the structure of the correlation matrix. We
propose a computationally efficient and conceptually appealing method for
generating multivariate Poisson data. The method is based on simulating
multivariate Normal data and converting them to achieve a specific correlation
matrix and Poisson rate vector. This allows for generating data that have
positive or negative correlations as well as different rates.


title: Transition rate of the Unruh-DeWitt detector in curved spacetime

abstract:
  We examine the Unruh-DeWitt particle detector coupled to a scalar field in an
arbitrary Hadamard state in four-dimensional curved spacetime. Using smooth
switching functions to turn on and off the interaction, we obtain a
regulator-free integral formula for the total excitation probability, and we
show that an instantaneous transition rate can be recovered in a suitable
limit. Previous results in Minkowski space are recovered as a special case. As
applications, we consider an inertial detector in the Rindler vacuum and a
detector at rest in a static Newtonian gravitational field. Gravitational
corrections to decay rates in atomic physics laboratory experiments on the
surface of the Earth are estimated to be suppressed by 42 orders of magnitude.


title:
Molecular ions in ultracold atomic gases: computed electronic
  interactions for \MgHion with Rb

abstract:
  The electronic structures of the manifold of potential energy surfaces
generated in the lower energy range by the interaction of the
MgH$^+$(X$^1\Sigma^+$) cationic molecule with Rb($^2$S), neutral atom are
obtained over a broad range of Jacobi coordinates from strongly correlated
\emph{ab initio} calculations which use a Multireference (MR) wavefunction
within a Complete Active Space (CAS) approach. The relative features of the
lowest five surfaces are analyzed in terms of possible collisional outcomes
when employed to model the ultracold dynamics of ionic molecular partners.


title: Surgery and the spinorial tau-invariant

abstract:
  We associate to a compact spin manifold M a real-valued invariant \tau(M) by
taking the supremum over all conformal classes over the infimum inside each
conformal class of the first positive Dirac eigenvalue, normalized to volume 1.
This invariant is a spinorial analogue of Schoen's $\sigma$-constant, also
known as the smooth Yamabe number. We prove that if N is obtained from M by
surgery of codimension at least 2, then $\tau(N) \geq
\min\{\tau(M),\Lambda_n\}$ with $\Lambda_n>0$. Various topological conclusions
can be drawn, in particular that \tau is a spin-bordism invariant below
$\Lambda_n$. Below $\Lambda_n$, the values of $\tau$ cannot accumulate from
above when varied over all manifolds of a fixed dimension.


title:
Key Substitution in the Symbolic Analysis of Cryptographic Protocols
  (extended version)

abstract:
  Key substitution vulnerable signature schemes are signature schemes that
permit an intruder, given a public verification key and a signed message, to
compute a pair of signature and verification keys such that the message appears
to be signed with the new signature key. A digital signature scheme is said to
be vulnerable to destructive exclusive ownership property (DEO) If it is
computationaly feasible for an intruder, given a public verification key and a
pair of message and its valid signature relatively to the given public key, to
compute a pair of signature and verification keys and a new message such that
the given signature appears to be valid for the new message relatively to the
new verification key. In this paper, we prove decidability of the insecurity
problem of cryptographic protocols where the signature schemes employed in the
concrete realisation have this two properties.


title:
Nonparametric Conditional Inference for Regression Coefficients with
  Application to Configural Polysampling

abstract:
  We consider inference procedures, conditional on an observed ancillary
statistic, for regression coefficients under a linear regression setup where
the unknown error distribution is specified nonparametrically. We establish
conditional asymptotic normality of the regression coefficient estimators under
regularity conditions, and formally justify the approach of plugging in
kernel-type density estimators in conditional inference procedures. Simulation
results show that the approach yields accurate conditional coverage
probabilities when used for constructing confidence intervals. The plug-in
approach can be applied in conjunction with configural polysampling to derive
robust conditional estimators adaptive to a confrontation of contrasting
scenarios. We demonstrate this by investigating the conditional mean squared
error of location estimators under various confrontations in a simulation
study, which successfully extends configural polysampling to a nonparametric
context.


title: On the Problem of Radiation Friction Beyond 4 and 6 Dimensions

abstract:
  We count the number of independent structures which can arise in expressions
for radiation friction force in different even space-time dimensions and
demonstrate that their number is too big at d\geq 8 to allow determination of
this force from the transversality condition alone, as was done by B.Kosyakov
in 6d. This implies that in general one can not bypass a tedious calculation
involving explicit regularization and evaluation of emerging counterterms.
However, simple Kosyakov's method works nicely in any dimension for the special
case of circular motion with constant angular velocity.


title:
Chiral constituent quark model study of the process $\gamma p \to \eta
  p$

abstract:
  A constituent quark model is developed for the reaction, allowing us to
investigate all available data for differential cross sections as well as
single polarization asymmetries (beam and target) by including {\it all} of the
PDG, one to four star, nucleon resonances ($S_{11}$, $P_{11}$, $P_{13}$,
$D_{13}$, $D_{15}$, $F_{15}$, $F_{17}$, $G_{17}$, $G_{19}$, $H_{19}$,
$I_{1,11}$, and $K_{1,13}$). Issues related to the missing resonances are also
briefly discussed by examining possible contributions from several new
resonances ($S_{11}$, $P_{11}$, $P_{13}$, $D_{13}$, $ D_{15}$, and $H_{1,11}$).


title:
The Universality of Dynamic Multiscaling in Homogeneous, Isotropic
  Turbulence

abstract:
  We systematise the study of dynamic multiscaling of time-dependent structure
functions in different models of passive-scalar and fluid turbulence. We show
that, by suitably normalising these structure functions, we can eliminate their
dependence on the origin of time at which we start our measurements and that
these normalised structure functions yield the same linear bridge relations
that relate the dynamic-multiscaling and equal-time exponents for statistically
steady turbulence. We show analytically, for both the Kraichnan Model of
passive-scalar turbulence and its shell model analogue, and numerically, for
the GOY shell model of fluid turbulence and a shell model for passive-scalar
turbulence, that these exponents and bridge relations are the same for
statistically steady and decaying turbulence. Thus we provide strong evidence
for dynamic universality, i.e., dynamic-multiscaling exponents do not depend on
whether the turbulence decays or is statistically steady.


title: Casimir torque between corrugated metallic plates

abstract:
  We consider two parallel corrugated plates and show that a Casimir torque
arises when the corrugation directions are not aligned. We follow the
scattering approach and calculate the Casimir energy up to second order in the
corrugation amplitudes, taking into account nonspecular reflections,
polarization mixing and the finite conductivity of the metals. We compare our
results with the proximity force approximation, which overestimates the torque
by a factor 2 when taking the conditions that optimize the effect. We argue
that the Casimir torque could be measured for separation distances as large as
1 $\mu{\rm m}.$


title: Current-driven vortex oscillations in metallic nanocontacts

abstract:
  We present experimental evidence of sub-GHz spin-transfer oscillations in
metallic nano-contacts that are due to the translational motion of a magnetic
vortex. The vortex is shown to execute large-amplitude orbital motion outside
the contact region. Good agreement with analytical theory and micromagnetics
simulations is found.


title:
q-Hardy-Berndt type sums associated with q-Genocchi type zeta and
  l-functions

abstract:
  The aim of this paper is to define new generating functions. By applying the
Mellin transformation formula to these generating functions, we define
q-analogue of Genocchi zeta function, q-analogue Hurwitz type Genocchi zeta
function, q-analogue Genocchi type l-function and two-variable q-Genocchi type
l-function. Furthermore, we construct new genereting functions of
q-Hardy-Berndt type sums and q-Hardy-Berndt type sums attached to Dirichlet
character. We also give some new relations related to q-Hardy-Berndt type sums
and q-Genocchi zeta function as well.


title:
The ATESP 5 GHz radio survey. II. Physical properties of the faint radio
  population

abstract:
  One of the most debated issues about sub-mJy radio sources, which are
responsible for the steepening of the 1.4 GHz source counts, is the origin of
their radio emission. Particularly interesting is the possibility of combining
radio spectral index information with other observational properties to assess
whether the sources are triggered by star formation or nuclear activity. The
aim of this work is to study the optical and near infrared properties of a
complete sample of 131 radio sources with S>0.4 mJy, observed at both 1.4 and 5
GHz as part of the ATESP radio survey. We use deep multi-colour (UBVRIJK)
images, mostly taken in the framework of the ESO Deep Public Survey, to
optically identify and derive photometric redshifts for the ATESP radio
sources. Deep optical coverage and extensive colour information are available
for 3/4 of the region covered by the radio sample. Typical depths of the images
are U~25, B~26, V~25.4, R~25.5, I~24.3, 19.5<K_s<20.2, J<22.2. Optical/near
infrared counterparts are found for ~78% (66/85) of the radio sources in the
region covered by the deep multi-colour imaging, and for 56 of these reliable
estimates of the redshift and type are derived. We find that many of the
sources with flat radio spectra are characterised by high radio-to-optical
ratios (R>1000), typical of classical powerful radio galaxies and quasars.
Flat-spectrum sources with low R values are preferentially identified with
early type galaxies, where the radio emission is most probably triggered by
low-luminosity active galactic nuclei. Considering both early type galaxies and
quasars as sources with an active nucleus, such sources largely dominate our
sample (78%). Flat-spectrum sources associated with early type galaxies are
quite compact (d<10-30 kpc), suggesting core-dominated radio emission.


title: The random case of Conley's theorem: II. The complete Lyapunov function

abstract:
  Conley in \cite{Con} constructed a complete Lyapunov function for a flow on
compact metric space which is constant on orbits in the chain recurrent set and
is strictly decreasing on orbits outside the chain recurrent set. This
indicates that the dynamical complexity focuses on the chain recurrent set and
the dynamical behavior outside the chain recurrent set is quite simple. In this
paper, a similar result is obtained for random dynamical systems under the
assumption that the base space $(\Omega,\mathcal F,\mathbb P)$ is a separable
metric space endowed with a probability measure. By constructing a complete
Lyapunov function, which is constant on orbits in the random chain recurrent
set and is strictly decreasing on orbits outside the random chain recurrent
set, the random case of Conley's fundamental theorem of dynamical systems is
obtained. Furthermore, this result for random dynamical systems is generalized
to noncompact state spaces.


title:
Why Does the Rouse Model Works at Least Satisfactorily at Polymer
  Molecular Masses M<M_c ?

abstract:
  Generalization of the Rouse model without any use of the postulates
concerning the Gaussian distribution of the vector connecting the ends of
segments is advanced. In the initial (in general, nonlinear) Langevin
equations, self-averaging over continuous fragments of a macromolecule
naturally defines a linear term for the tagged chain, and this term differs
from the entropy term of the classical Rouse model only by the numerical
coefficient. According to the inertia-free approximation, the initial decay
rates of correlation functions for the normal modes are described by the Rouse
model independently of the character of fluctuations of the vector connecting
the ends of the Kuhn segment. This statement is valid for any moment if the
initial Langevin equations are treated in terms of the approximation of dynamic
self-consistency. Simulation of the Fraenkel chains by the method of Brownian
dynamics shows that decay of autocorrelation functions of shortwave normal
modes is fairly described by the linearized equations for a given model of a
chain and that the Rouse equation can be used for the longwave modes. The
results of this study make it possible to explain a marked difference between
the lengths of the Kuhn and Rouse segments that is estimated from static and
dynamic experiments.


title: Simultaneous inhomogeneous Diophantine approximation on manifolds

abstract:
  In 1998, Kleinbock & Margulis established a conjecture of V.G. Sprindzuk in
metrical Diophantine approximation (and indeed the stronger Baker-Sprindzuk
conjecture). In essence the conjecture stated that the simultaneous homogeneous
Diophantine exponent $w_{0}(\vv x) = 1/n$ for almost every point $\vv x$ on a
non-degenerate submanifold $\cM$ of $\R^n$. In this paper the simultaneous
inhomogeneous analogue of Sprindzuk's conjecture is established. More
precisely, for any `inhomogeneous' vector $\bm\theta\in\R^n$ we prove that the
simultaneous inhomogeneous Diophantine exponent $w_{0}(\vv x, \bm\theta)= 1/n$
for almost every point $\vv x$ on $M$. The key result is an inhomogeneous
transference principle which enables us to deduce that the homogeneous exponent
$w_0(\vv x)=1/n$ for almost all $\vv x\in \cM$ if and only if for any
$\bm\theta\in\R^n$ the inhomogeneous exponent $w_0(\vv x,\bm\theta)=1/n$ for
almost all $\vv x\in \cM$. The inhomogeneous transference principle introduced
in this paper is an extremely simplified version of that recently discovered in
\cite{Beresnevich-Velani-new-inhom}. Nevertheless, it should be emphasised that
the simplified version has the great advantage of bringing to the forefront the
main ideas of \cite{Beresnevich-Velani-new-inhom} while omitting the abstract
and technical notions that come with describing the inhomogeneous transference
principle in all its glory.


title: Generalizing Planck's Law: Nonequilibrium Emission of Excited Media

abstract:
  Using a quantum-kinetic many-body approach, exact results for the interacting
system of field and matter in a specified geometry are presented. It is shown
that both the spectral function of photons and the field fluctuations split up
into vacuum- and medium-induced contributions, for which explicit expressions
are derived. Using Poynting's theorem, the incoherent emission is analyzed and
related to the coherent absorption as may be measured in a linear
transmission-reflection experiment. Their ratio defines the medium-induced
population of the modes of the transverse electromagnetic field and so
generalizes Planck's law to an arbitrarily absorbing and dispersing medium in a
nonequilibrium steady state. For quasi-equilibrium, this population develops
into a Bose distribution whose chemical potential marks the crossover from
absorption to gain and, also, characterizes the degree of excitation.
Macroscopic quantum phenomena such as lasing and quantum condensation are
discussed on this footing.


title:
The random case of Conley's theorem: III. Random semiflow case and Morse
  decomposition

abstract:
  In the first part of this paper, we generalize the results of the author
\cite{Liu,Liu2} from the random flow case to the random semiflow case, i.e. we
obtain Conley decomposition theorem for infinite dimensional random dynamical
systems. In the second part, by introducing the backward orbit for random
semiflow, we are able to decompose invariant random compact set (e.g. global
random attractor) into random Morse sets and connecting orbits between them,
which generalizes the Morse decomposition of invariant sets originated from
Conley \cite{Con} to the random semiflow setting and gives the positive answer
to an open problem put forward by Caraballo and Langa \cite{CL}.


title:
Self-Interaction and Regularization of Classical Electrodynamics in
  Higher Dimensions

abstract:
  The classical electrodynamic system of field and a single point-like source
is considered in even-dimensional space-time. The problem of self-interaction
is discussed. It is manifestly shown that all singular terms appearing in these
equations can be regularized. Relations between formulae for radiation and
radiation friction are discussed.


title:
On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super
  Yang-Mills

abstract:
  Employing a twisted superspace with eight supercharges, we describe an
off-shell formulation of N=4 D=3 twisted super Yang-Mills in the continuum
spacetime which underlies the recent proposal of N=4 D=3 twisted super
Yang-Mills on a lattice (arXiv:0707.3533[hep-lat]). By a dimensional reduction
from the N=2 D=4, we explore the two possible topological twists of N=4 D=3 and
then show that the lattice formulation given in arXiv:0707.3533[hep-lat] is
essentially categorized as the B-type. We also show that, amongst the two
inequivalent twists of N=4 D=3, only the B-type SYM can be realized on the
lattice consistently with the Leibniz rule and the gauge covariance on the
lattice.


title:
The Acceleration History of the Universe and the Properties of the Dark
  Energy

abstract:
  The model-independent method of using type Ia supernovae proposed and
developed by Daly and Djorgovski (2003, 2004) has been applied to the Riess et
al. (2007) supernovae sample. Assuming only a Robertson-Walker metric, we find
that the universe is accelerating today. This result is purely kinematic, is
independent of the contents of the universe, and does not require that a theory
of gravity be specified. Our model-independent method allows a determination of
q(z) for a particular value of space curvature. When q(z) transitions from
negative to positive values, the universe transitions from an accelerating to a
decelerating state. For zero space curvature, we find that the universe
transitions from acceleration to deceleration at a zedshift of about = 0.35 for
the Riess et al. (2007) sample. If a theory of gravity is specified, the
supernovae data can be used to determine the pressure, energy density, and
equation of state of the dark energy, and the potential and kinetic energy
density of a dark energy scalar field as functions of redshift. The relevant
equations from General Relativity are applied, and these functions are
obtained. The results are consistent with predictions in the standard Lambda
Cold Dark Matter model at about the two sigma level.


title:
Stability of Yang-Mills fields system in the homogeneous
  (anti-)self-dual background field

abstract:
  Stability of Yang-Mills fields system in the background field is investigated
basing on Toda criterion, Poincare sections and the values of the maximal
Lyapunov exponents. The existence of the region of regular motion at low
densities of energy is demonstrated. Critical energy density of the order-chaos
transition is analyzed for the different values of the model parameter.


title: Describing general cosmological singularities in Iwasawa variables

abstract:
  Belinskii, Khalatnikov, and Lifshitz (BKL) conjectured that the description
of the asymptotic behavior of a generic solution of Einstein equations near a
spacelike singularity could be drastically simplified by considering that the
time derivatives of the metric asymptotically dominate (except at a sequence of
instants, in the `chaotic case') over the spatial derivatives. We present a
precise formulation of the BKL conjecture (in the chaotic case) that consists
of basically three elements: (i) we parametrize the spatial metric $g_{ij}$ by
means of \it{Iwasawa variables} $\beta^a, {\cal N}^a{}_i$); (ii) we define, at
each spatial point, a (chaotic) \it{asymptotic evolution system} made of
ordinary differential equations for the Iwasawa variables; and (iii) we
characterize the exact Einstein solutions $\beta, {\cal{N}}$ whose asymptotic
behavior is described by a solution $\beta_{[0]}, {\cal N}_{[0]}$ of the
previous evolution system by means of a `\it{generalized Fuchsian system}' for
the differenced variables $\bar \beta = \beta - \beta_{[0]}$, $\bar {\cal N} =
{\cal N} - {\cal N}_{[0]}$, and by requiring that $\bar \beta$ and $\bar {\cal
N}$ tend to zero on the singularity. We also show that, in spite of the
apparently chaotic infinite succession of `Kasner epochs' near the singularity,
there exists a well-defined \it{asymptotic geometrical structure} on the
singularity : it is described by a \it{partially framed flag}. Our treatment
encompasses Einstein-matter systems (comprising scalar and p-forms), and also
shows how the use of Iwasawa variables can simplify the usual (`asymptotically
velocity term dominated') description of non-chaotic systems.


title: Threshold resummation to any order in (1-x)

abstract:
  A simple ansatz is suggested for the structure of threshold resummation of
the momentum space physical evolution kernels (`physical anomalous dimensions')
at all orders in (1-x), taking as examples Deep Inelastic Scattering (F_2(x,
Q^2) and F_L(x, Q^2)) and the Drell-Yan process. Each term in the expansion is
associated to a distinct renormalization group and scheme invariant
perturbative object (`physical Sudakov anomalous dimension') depending on a
single momentum scale variable. Both logarithmically enhanced terms and
constant terms are captured by the ansatz at any order in the expansion. The
ansatz is motivated by a large--beta_0 dispersive calculation. A dispersive
representation at finite beta_0 of the physical Sudakov anomalous dimensions is
also obtained, associated to a set of `Sudakov effective charges' which
encapsulate the non-Abelian nature of the interaction. It is found that the
dispersive representation requires a non-trivial, and process-dependent, choice
of variables in the (x,Q^2) plane. Some interesting properties of the physical
Sudakov anomalous dimensions are pointed out. The ensuing 1/N expansion in
moment space is straightforwardly derived from the momentum space expansion.


title: The ideal relativistic spinning gas: polarization and spectra

abstract:
  We study the physics of the ideal relativistic rotating gas at
thermodynamical equilibrium and provide analytical expressions of the momentum
spectra and polarization vector for the case of massive particles with spin 1/2
and 1. We show that the finite angular momentum J entails an anisotropy in
momentum spectra, with particles emitted orthogonally to J having, on average,
a larger momentum than along its direction. Unlike in the non-relativistic
case, the proper polarization vector turns out not to be aligned with the total
angular momentum with a non-trivial momentum dependence.


title:
Two-time Green's functions and spectral density method in nonextensive
  quantum statistical mechanics

abstract:
  We extend the formalism of the thermodynamic two-time Green's functions to
nonextensive quantum statistical mechanics. Working in the optimal Lagrangian
multipliers representation, the $q$-spectral properties and the methods for a
direct calculation of the two-time $q$% -Green's functions and the related
$q$-spectral density ($q$ measures the nonextensivity degree) for two generic
operators are presented in strict analogy with the extensive ($q=1$)
counterpart. Some emphasis is devoted to the nonextensive version of the less
known spectral density method whose effectiveness in exploring equilibrium and
transport properties of a wide variety of systems has been well established in
conventional classical and quantum many-body physics. To check how both the
equations of motion and the spectral density methods work to study the
$q$-induced nonextensivity effects in nontrivial many-body problems, we focus
on the equilibrium properties of a second-quantized model for a high-density
Bose gas with strong attraction between particles for which exact results exist
in extensive conditions. Remarkably, the contributions to several thermodynamic
quantities of the $q$-induced nonextensivity close to the extensive regime are
explicitly calculated in the low-temperature regime by overcoming the
calculation of the $q$ grand-partition function.


title:
Exact ground states for two new spin-1 quantum chains, new features of
  matrix product states

abstract:
  We use the matrix product formalism to find exact ground states of two new
spin-1 quantum chains with nearest neighbor interactions. One of the models,
model I, describes a one-parameter family of quantum chains for which the
ground state can be found exactly. In certain limit of the parameter, the
Hamiltonian turns into the interesting case $H=\sum_i ({\bf S}_i\cdot {\bf
S}_{i+1})^2$. The other model which we label as model II, corresponds to a
family of solvable three-state vertex models on square two dimensional
lattices. The ground state of this model is highly degenerate and the matrix
product states is a generating state of such degenerate states. The simple
structure of the matrix product state allows us to determine the properties of
degenerate states which are otherwise difficult to determine. For both models
we find exact expressions for correlation functions.