title: Problems on Minkowski sums of convex lattice polytopes

abstract:
  This paper was submitted to the Oberwolfach Conference "Combinatorial
Convexity and Algebraic Geometry", October 1997.
  Let $M={\mathbb Z}^r$. For convex lattice polytopes $P,P'$ in ${\mathbb
R}^r$, when is $(M \cap P)+ (M \cap P') = M \cap (P + P')$?
  Without any additional condition, the equality obviously does not hold.
  When the pair $(M,P)$ corresponds to a complex projective toric variety $X$
and an ample divisor $D$ on $X$, it is reasonable to assume that $P'$
corresponds to an ample (or, more generally, a nef) divisor $D'$ on the same
$X$. Then the question correspons to the surjectivity of the canonical map \[
H^0(X,{\mathcal O}_X(D))\otimes H^0(X,{\mathcal O}_X(D'))\to H^0(X,{\mathcal
O}_X(D+D')).\]
  When $X$ is nonsingular, the map is hoped to be surjective, but this remains
to be an open question after more than ten years.
  The paper explores various variations on the question in terms of toric
geometry.


title:
Spontaneous CP violation in the triplet extended supersymmetric standard
  model

abstract:
  We find that, at the one-loop level, the spontaneous CP violation is possible
in a supersymmetric standard model that has an extra chiral Higgs triplet with
hypercharge Y=0. At the tree level, this triplet-extended supersymmetric
standard model (TESSM) cannot have any reasonable parameter spaces for the
spontaneous CP violation, because the experimental constraints on the coupling
coefficient of the neutral Higgs boson to a pair of $Z$ bosons exclude them. By
contrast, at the one-loop level, we find that there are experimentally allowed
parameter regions, where the spontaneous CP violation may take place. The mass
of the lightest neutral Higgs boson in the TESSM in this case may be as large
as about 100 GeV, by considering the one-loop contribution due to the top quark
and squark loops.


title: Holography of BPS surface operators

abstract:
  We study a class of dilatation invariant BPS surface operators in
4-dimensional N=4 Super Yang-Mills theory and their holographic duals in type
IIB string theory in AdS_5 x S^5. First we take an example of 1/4 BPS surface
operator and study it in detail from the holographic point of view. The gravity
dual of this surface operator is a D3-brane characterized by a holomorphic
submanifold. The supersymmetry and vacuum expectation value are checked in both
the gauge theory side and the gravity side. We also calculate the correlation
functions with the chiral primary operators in both sides and find good
agreement. Next we consider more general dilatation invariant BPS surface
operators. The gravity duals of those operators are proposed.


title:
Relativistic Laser-Matter Interaction and Relativistic Laboratory
  Astrophysics

abstract:
  The paper is devoted to the prospects of using the laser radiation
interaction with plasmas in the laboratory relativistic astrophysics context.
We discuss the dimensionless parameters characterizing the processes in the
laser and astrophysical plasmas and emphasize a similarity between the laser
and astrophysical plasmas in the ultrarelativistic energy limit. In particular,
we address basic mechanisms of the charged particle acceleration, the
collisionless shock wave and magnetic reconnection and vortex dynamics
properties relevant to the problem of ultrarelativistic particle acceleration.


title: Quantum Remnant as Dark Energy and Dark Matter

abstract:
  We study the quantum remnant of a scalar field protected by the uncertainty
principle. The quantum remnant that survived the later stage of evolution of
the universe may provide dark energy and dark matter depending on the
potential. Though the quantum remnant shares some useful property of complex
scalar field (spintessence) dark energy model, % However although it avoids the
formation of Q-ball, quantum fluctuations are still unstable to the linear
perturbations for $V \sim \phi^q$ with $q<1$ as in the spintessence model.


title: Localization of fields on brane

abstract:
  Warped braneworld scenario provides an alternative to the usual Kaluza-Klein
compactification of extra dimensions through the so-called localization of
fields. Randall-Sundrum type models do not directly prove, rather, assume that
all standard model fields are localized to the TeV brane. I will provide the
mechanism for addressing the problem and discuss the issue of localization of
fields on the brane for various types of braneworld models available in the
literature.


title:
Hidden correlations of exciton complexes in self-assembled quantum dots
  and rings

abstract:
  The binding energies of trions ($X^+$, $X^-$) and biexciton (XX) in
self-assembled semiconductor quantum dots (QDs) are very sensitive to the
geometry and chemical composition of the QDs, and are random from dots to dots.
However, in this letter, we show through analytical and numerical methods that
the transition energies of the exciton complexes in self-assembled quantum dots
and rings follow a simple and robust rule, i.e., the sum of exciton and
biexciton transition energies minus the transition energies of trions is always
positive and almost a constant for the same type of quantum dots and rings as a
consequence of a pure Coulomb correlation effect. More interestingly, this
quantity show a sharp transition when the topology change from a dot to a ring.
This {\it hidden} correlation effect, directly measurable in experiments,
offers a useful way to understand the photoluminescence spectra of
self-assembled quantum dots and rings.


title: Multi-magnon bound states in easy-axis ferromagnetic zigzag spin chain

abstract:
  The frustrated spin-1/2 chain with weakly anisotropic ferromagnetic
nearest-neighbor and antiferromagnetic next-nearest-neighbor exchanges is
studied. We focus on the excitation spectrum and the low-temperature
thermodynamics in the ferromagnetic region of the ground state phase diagram.
It is shown that the excitation spectrum of the model is characterized by the
existence of the multi-magnon bound states. These excitations determine the
low-temperature magnetic susceptibility. The energy of the bound magnon
complexes is found using the scaling estimates of the perturbation theory and
numerical calculations. The relation of the considered model to the
edge-sharing cuprate $Li_2CuO_4$ is discussed.


title: Magnetic translation symmetry on the lattice

abstract:
  Magnetic translation symmetry on a finite periodic square lattice is
investigated for an arbitrary uniform magnetic field in arbitrary dimensions.
It can be used to classify eigenvectors of the Hamiltonian. The system can be
converted to another system of half or lower dimensions. A higher dimensional
generalization of Harper equation is obtained for tight-binding systems.


title:
Phase structure of SU(3) gauge theory with two flavors of
  symmetric-representation fermions

abstract:
  We have performed numerical simulations of SU(3) gauge theory coupled to Nf=2
flavors of symmetric representation fermions. The fermions are discretized with
the tadpole-improved clover action. Our simulations are done on lattices of
length L=6, 8, and 12. In all simulation volumes we observe a crossover from a
strongly coupled confined phase to a weak coupling deconfined phase.
Degeneracies in screening masses, plus the behavior of the pseudoscalar decay
constant, indicate that the deconfined phase is also a phase in which chiral
symmetry is restored. The movement of the confinement transition as the volume
is changed is consistent with avoidance of the basin of attraction of an
infrared fixed point of the massless theory.


title: Non-Markovian large amplitude motion and nuclear fission

abstract:
  The general problem of dissipation in macroscopic large-amplitude collective
motion and its relation to energy diffusion of intrinsic degrees of freedom of
a nucleus is studied. By applying the cranking approach to the nuclear many
body system, a set of coupled dynamical equations for the collective classical
variables and the quantum mechanical occupancies of the intrinsic nuclear
states is derived. Different dynamical regimes of the intrinsic nuclear motion
and its consequences on time properties of collective dissipation are
discussed. The approach is applied to the descant of the nucleus from the
fission barrier.


title: Analytic structure of solutions to multiconfiguration equations

abstract:
  We study the regularity at the positions of the (fixed) nuclei of solutions
to (non-relativistic) multiconfiguration equations (including Hartree--Fock) of
Coulomb systems. We prove the following: Let {phi_1,...,phi_M} be any solution
to the rank--M multiconfiguration equations for a molecule with L fixed nuclei
at R_1,...,R_L in R^3. Then, for any j in {1,...,M} and k in {1,...,L}, there
exists a neighbourhood U_{j,k} in R^3 of R_k, and functions phi^{(1)}_{j,k},
phi^{(2)}_{j,k}, real analytic in U_{j,k}, such that phi_j(x) =
phi^{(1)}_{j,k}(x) + |x - R_k| phi^{(2)}_{j,k}(x), x in U_{j,k} A similar
result holds for the corresponding electron density. The proof uses the
Kustaanheimo--Stiefel transformation, as applied earlier by the authors to the
study of the eigenfunctions of the Schr"odinger operator of atoms and molecules
near two-particle coalescence points.


title:
Quasi-particle model for lattice QCD: quark-gluon plasma in heavy ion
  collisions

abstract:
  We propose a quasi-particle model to describe the lattice QCD equation of
state for pure SU(3) gauge theory in its deconfined state, for $T \ge 1.5T_c$.
The method involves mapping the interaction part of the equation of state to an
effective fugacity of otherwise non-interacting quasi-gluons. We find that this
mapping is exact. Using the quasi-gluon distribution function, we determine the
energy density and the modified dispersion relation for the single particle
energy, in which the trace anomaly is manifest. As an application, we first
determine the Debye mass, and then the important transport parameters, {\it
viz}, the shear viscosity, $\eta$ and the shear viscosity to entropy density
ratio, $\eta/{\mathcal S}$. We find that both $\eta$ and $\eta/{\mathcal S}$
are sensitive to the interactions, and that the interactions significantly
lower both $\eta$ and $\eta/\mathcal S$.


title: On the four-dimensional effective theories in brane-worlds

abstract:
  Models with extra dimensions have attracted much interest recently because
they may provide the solution for long standing problems in physics. One
interesting and very attractive idea is that our visible universe is confined
to a four-dimensional hypersurface in a higher-dimensional spacetime. This
membrane like universe was dubbed brane-world. The main goal of this thesis is
the study of the four-dimensional (4D) effective theories and their
observational consequences in the brane-world universe. After introducing the
brane-world idea with some detail we shall use the gradient expansion method to
obtain the 4D effective theories of gravity for several higher-dimensional
theories with different numbers of extra-dimensions. In the second half of the
thesis, after introducing the concept of brane-inflation we will focus on some
observational consequences of these low energy effective theories. In
particular, the last two chapters before the conclusion are devoted to the
study of non-Gaussianities in general models of inflation.


title:
Polynomial Representation of $E_7$ and Its Combinatorial and PDE
  Implications

abstract:
  In this paper, we use partial differential equations to find the
decomposition of the polynomial algebra over the basic irreducible module of
$E_7$ into a sum of irreducible submodules. Moreover, we obtain a combinatorial
identity, saying that the dimensions of certain irreducible modules of $E_7$
are correlated by the binomial coefficients of fifty-five. Furthermore, we
prove that two families of irreducible submodules with three integral
parameters are solutions of the fundamental invariant differential operator
corresponding to Cartan's unique quartic $E_7$ invariant.


title: Entropy in the Present and Early Universe

abstract:
  This is a short analysis of the changes in the concept of entropy as applied
to physics of the present-day and Early Universe. Of special interest is a
leading role of such a notion as deformation of a physical theory. The relation
to a symmetry of the corresponding theory is noted. As this work is not a
survey, the relevant author's works are mainly considered. This paper is to be
published in special issue "Symmetry and Entropy" of journal SYMMETRY: Culture
and Science


title: The Slitless Spectroscopy Data Extraction Software aXe

abstract:
  The methods and techniques for the slitless spectroscopy software aXe, which
was designed to reduce data from the various slitless spectroscopy modes of
Hubble Space Telescope instruments, are described. aXe can treat slitless
spectra from different instruments such as ACS, NICMOS and WFC3 through the use
of a configuration file which contains all the instrument dependent parameters.
The basis of the spectral extraction within aXe are the position, morphology
and photometry of the objects on a companion direct image. Several aspects of
slitless spectroscopy, such as the overlap of spectra, an extraction dependent
on object shape and the provision of flat-field cubes, motivate a dedicated
software package, and the solutions offered within aXe are discussed in detail.
The effect of the mutual contamination of spectra can be quantitatively
assessed in aXe, using spectral and morphological information from the
companion direct image(s). A new method named 'aXedrizzle' for 2D rebinning and
co-adding spectral data, taken with small shifts or dithers, is described. The
extraction of slitless spectra with optimal weighting is outlined and the
correction of spectra for detector fringing for the ACS CCD's is presented.
Auxiliary software for simulating slitless data and for visualizing the results
of an aXe extraction is outlined.


title: A Diffusive Strategic Dynamics for Social Systems

abstract:
  We propose a model for the dynamics of a social system, which includes
diffusive effects and a biased rule for spin-flips, reproducing the effect of
strategic choices. This model is able to mimic some phenomena taking place
during marketing or political campaigns. Using a cost function based on the
Ising model defined on the typical quenched interaction environments for social
systems (Erdos-Renyi graph, small-world and scale-free networks), we find, by
numerical simulations, that a stable stationary state is reached, and we
compare the final state to the one obtained with standard dynamics, by means of
total magnetization and magnetic susceptibility. Our results show that the
diffusive strategic dynamics features a critical interaction parameter strictly
lower than the standard one. We discuss the relevance of our findings in social
systems.


title:
A nonlinear random walk approach to concentration-dependent contaminant
  transport in porous media

abstract:
  We propose a nonlinear random walk model to describe the dynamics of dense
contaminant plumes in porous media. A coupling between concentration and
velocity fields is found, so that transport displays non-Fickian features. The
qualitative behavior of the pollutant spatial profiles and moments is explored
with the help of Monte Carlo simulation, within a Continuous Time Random Walk
approach. Model outcomes are then compared with experimental measurements of
variable-density contaminant transport in homogeneous and saturated vertical
columns.


title: Four switching categories for thin-film and bulk ferroelectrics

abstract:
  We classify the switching kinetics of ferroelectrics including both
epitaxial/polycrystalline thin films and single-crystalline/ceramic bulks at
various applied fields into four categories, depending on whether the
depolarization field and/or the polarization reversal induced by the switching
promotion effect between adjacent parts can be neglected. We show that our
statistical model developed very recently [Journal of Physics: Condensed Matter
21, 012207 (2009)] in its generalized form applies to all these four
categories. Finally we make the comparison between our model and the
conventional Kolmogorov-Avrami-Ishibashi model and discuss the behavior of the
switching currents for different n.


title:
Hard X-ray Properties of the Merging Cluster Abell 3667 as Observed with
  Suzaku

abstract:
  Wide-band Suzaku data on the merging cluster Abell 3667 were examined for
hard X-ray emission in excess to the known thermal component. Suzaku detected
X-ray signals in the wide energy band from 0.5 to 40 keV. The hard X-ray (> 10
keV) flux observed by the HXD around the cluster center cannot be explained by
a simple extension of the thermal emission with average temperature of ~7 keV.
The emission is most likely an emission from a very hot (kT > 13.2 keV) thermal
component around the cluster center, produced via a strong heating process in
the merger. In the north-west radio relic, no signature of non-thermal emission
was observed. Using the HXD, the overall upper-limit flux within a 34'x34'
field-of-view around the relic is derived to be 5.3e-12 erg s-1 cm-2 in the
10-40 keV band, after subtracting the ICM contribution estimated using the XIS
or the XMM-Newton spectra. Directly on the relic region, the upper limit is
further tightened by the XIS data to be less than 7.3e-13 erg s-1 cm-2, when
converted into the 10--40 keV band. The latter value suggest that the average
magnetic field within the relic is higher than 1.6 uG. The non-thermal pressure
due to magnetic fields and relativistic electrons may be as large as ~20% of
the thermal pressure in the region.


title:
Vortex splitting and phase separating instabilities of coreless vortices
  in F=1 spinor Bose-Einstein condensates

abstract:
  The low lying excitations of coreless vortex states in F = 1 spinor
Bose-Einstein condensates (BECs) are theoretically investigated using the
Gross-Pitaevskii and Bogoliubov-de Gennes equations. The spectra of the
elementary excitations are calculated for different spin-spin interaction
parameters and ratios of the number of particles in each sublevel. There exist
dynamical instabilities of the vortex state which are suppressed by
ferromagnetic interactions, and conversely, enhanced by antiferromagnetic
interactions. In both of the spin-spin interaction regimes, we find vortex
splitting instabilities in analogy with scalar BECs. In addition, a phase
separating instability is found in the antiferromagnetic regime.


title: From kinetic theory to dissipative fluid dynamics

abstract:
  We present the results of deriving the Israel-Stewart equations of
relativistic dissipative fluid dynamics from kinetic theory via Grad's
14-moment expansion. Working consistently to second order in the Knudsen
number, these equations contain several new terms which are absent in previous
treatments.


title: The Ly-alpha profile and center-to-limb variation of the quiet Sun

abstract:
  We study the emission of the hydrogen Lyman-a line in the quiet Sun, its
center-to-limb variation (CLV), and its radiance distribution. We also compare
quasi-simultaneous Ly-a and Ly-b line profiles. We used the high spectral and
spatial resolution of the SUMER spectrometer and completed raster scans at
various locations along the disk. For the first time, we used a method to
reduce the incoming photon flux to a 20%-level by partly closing the aperture
door. We also performed a quasi-simultaneous observation of both Ly-a and Ly-b
at Sun center in sit-and-stare mode. We infer the flow characteristic in the
Ly-a map from variations in the calibrated 1206 Si III line centroids. We
present the average profile of Ly-a, its radiance distribution, its CLV
behaviour, and the signature of flows on the line profiles. Little CLV and no
limb brightening are observed in the profiles of the Ly-a line. In contrast to
all other lines of the Lyman series, which have a stronger red-horn, Ly-a has a
dominating blue-horn asymmetry. There appears to be a brightness-to-asymmetry
relationship. A similar and even clearer trend is observed in the
downflow-to-asymmetry relationship. This important result is consistent with
predictions from models that include flows. However, the absence of a clear CLV
in the profiles may be more indicative of an isotropic field than a radial
flow. It appears that the ubiquitous hydrogen behaves similar to a filter that
dampens all signatures of the line formation by processes in the chromosphere
and transition region.


title: Structure and thermodynamics of platelet dispersions

abstract:
  Various properties of fluids consisting of platelike particles differ from
the corresponding ones of fluids consisting of spherical particles because
interactions between platelets depend on their mutual orientations. One of the
main issues in this topic is to understand how structural properties of such
fluids depend on factors such as the shape of the platelets, the size
polydispersity, the orientational order, and the platelet number density. A
statistical mechanics approach to the problem is natural and in the last few
years there has been a lot of work on the study of properties of platelet
fluids. In this contribution some recent theoretical developments in the field
are discussed and experimental investigations are described.


title:
Bianchi type-I string cosmological model in the presence of a magnetic
  flux: exact and qualitative solutions

abstract:
  A Bianchi type-I cosmological model in the presence of a magnetic flux along
a cosmological string is investigated. The objective of this study is to
generate solutions to the Einstein equations using a few tractable assumptions
usually accepted in the literature. The analytical solutions are supplemented
with numerical and qualitative analysis. In the frame of the present model the
evolution of the Universe and other physical aspects are discussed.


title:
Orbital reconstruction and two-dimensional electron gas at the
  LaAlO3/SrTiO3 interface

abstract:
  Conventional two-dimensional electron gases are realized by engineering the
interfaces between semiconducting compounds. In 2004, Ohtomo and Hwang
discovered that an electron gas can be also realized at the interface between
large gap insulators made of transition metal oxides [1]. This finding has
generated considerable efforts to clarify the underlying microscopic mechanism.
Of particular interest is the LaAlO3/SrTiO3 system, because it features
especially striking properties. High carrier mobility [1], electric field
tuneable superconductivity [2] and magnetic effects [3], have been found. Here
we show that an orbital reconstruction is underlying the generation of the
electron gas at the LaAlO3/SrTiO3 n-type interface. Our results are based on
extensive investigations of the electronic properties and of the orbital
structure of the interface using X-ray Absorption Spectroscopy. In particular
we find that the degeneracy of the Ti 3d states is fully removed, and that the
Ti 3dxy levels become the first available states for conducting electrons.


title: Index theory and partitioning by enlargeable hypersurfaces

abstract:
  In this paper we state and prove a higher index theorem for an
odd-dimensional connected spin riemannian manifold $(M,g)$ which is partitioned
by an oriented closed hypersurface $N$. This index theorem generalizes a
theorem due to N. Higson and J. Roe in the context of Hilbert modules. Then we
apply this theorem to prove that if $N$ is area-enlargeable and if there is a
smooth map from $M$ into $N$ such that its restriction to $N$ has non-zero
degree then the the scalar curvature of $g$ cannot be uniformly positive.


title:
Periodic orbits and chaos in fast-slow systems with Bogdanov-Takens type
  fold points

abstract:
  The existence of stable periodic orbits and chaotic invariant sets of
singularly perturbed problems of fast-slow type having Bogdanov-Takens
bifurcation points in its fast subsystem is proved by means of the geometric
singular perturbation method and the blow-up method. In particular, the blow-up
method is effectively used for analyzing the flow near the Bogdanov-Takens type
fold point in order to show that a slow manifold near the fold point is
extended along the Boutroux's tritronqu\'{e}e solution of the first
Painlev\'{e} equation in the blow-up space.


title: Geography of non-formal symplectic and contact manifolds

abstract:
  Let (m,b) a pair of natural numbers. For m even (resp. m odd and b greater
than or equal to 2) we show that if there is an m-dimensional non-formal
compact oriented manifold whose first Betti number equals b, there is also a
symplectic (resp. contact) manifold with these properties.


title: Origin and Nature of Dust in the Early Universe

abstract:
  We present recent advances in theoretical studies of the formation and
evolution of dust in primordial supernovae (SNe) that are considered to be the
main sources of dust in the early universe. Being combined with the results of
calculations of dust formation in the ejecta of Population III SNe, the
investigations of the evolution of newly formed dust within supernova remnants
(SNRs) show that smaller grains are predominantly destroyed by sputtering in
the shocked gas, while larger grains are injected into the ambient medium. The
mass of dust grains surviving the destruction in SNRs reaches up to 0.1--15
$M_\odot$, which is high enough to account for the content of dust observed for
the host galaxies of quasars at $z > 5$. In addition, the transport of dust
formed in the ejecta causes the formation of low-mass stars in the dense shell
of primordial SNRs and affects the elemental composition of those stars. We
also show that the flat extinction curve is expected in the high-redshift
universe where SNe are the possible sources of dust.


title: Canonical Bases of Borcherds-Cartan Type

abstract:
  We study the canonical basis for the negative part of the quantum generalized
Kac-Moody algebra associated to a symmetric Borcherds-Cartan matrix. The
algebras associated to two different matrices satisfying certain conditions may
coincide. We show that the canonical bases coincide provided that the algebras
coincide. We also answer partially a question by Lusztig.


title:
Dynamics of birational plane mappings. The Arnold complexity difference
  equation

abstract:
  We consider a dynamics of a generic birational plane map \Phi_n: CP^2 \to
CP^2, CP^2 -image of the birational mapping (inverse map is also rational)F_n :
C^2 \to C^2 and its such important characteristic as the Arnold complexity
C_A(k), which is proportional d(k)=deg(\Phi_n^k)- a degree of k-iteration of
the map \Phi_n, on the basis on algebraic-geometrical properties of such maps.
Additional importance of this characteristic follows from the Veselov
conjecture about the polynomial boundedness of the growth of d(k) for
integrable dynamical systems with a discrete time defined by birational plane
maps. The autonomous linear difference equation with integer coefficients for
d(k) is obtained. This equation is fully defined by \sigma_1 nonnegative
integers m_1,..., m_\sigma_1 that are determined by relations:
\Phi_n^{-m_i}(O_\alpha_i)=O^(-1)_\beta_i, i\in(1,2,...,\sigma_1), where
\Phi_n^{-m_i} is m_i-iteration of inverse map, O_\alpha_i, O^(-1)_\beta_i,
\alpha_i, \beta_i \in (1,2,...,\sigma), are indeterminacy points of the direct
and inverse maps, \sigma_1\leq\sigma and \sigma is a number of indeterminacy
points of \Phi_n,\Phi_n^{-1}. If \sigma_1 is equal to zero that d(k)=n^k,
otherwise the growth of d(k) is fully defined by a root spectrum of the secular
equation associated with the difference equation for d(k). The Veselov
conjecture corresponds to the root spectrum consisting of values being equal to
modulo one. The author doesn't suppose that the reader has acquaintance with
the algebraic geometry (AG) in CP^2 and the dynamical systems theory (DST) or
the functional equations since in the paper there are given all needed
definitions of used concepts of AG or DST and theorems.


title: Partial integrability of the anharmonic oscillator

abstract:
  We consider the anharmonic oscillator with an arbitrary-degree anharmonicity,
a damping term and a forcing term, all coefficients being time-dependent: u" +
g_1(x) u' + g_2(x) u + g_3(x) u^n + g_4(x) = 0, n real. Its physical
applications range from the atomic Thomas-Fermi model to Emden gas dynamics
equilibria, the Duffing oscillator and numerous dynamical systems. The present
work is an overview which includes and generalizes all previously known results
of partial integrability of this oscillator. We give the most general two
conditions on the coefficients under which a first integral of a particular
type exists. A natural interpretation is given for the two conditions. We
compare these two conditions with those provided by the Painleve' analysis.


title:
Adsorption and dissociation of O$_{2}$ at Be(0001): First-principles
  prediction of an energy barrier on the adiabatic potential energy surface

abstract:
  The adsorption and dissociation of O$_{2}$ molecules at the Be(0001) surface
is studied by using density-functional theory within the generalized gradient
approximation and a supercell approach. The physi- and chemisorbed molecular
precursor states are identified to be along the parallel and vertical channels,
respectively. It is shown that the HH-Z (see the text for definition) channel
is the most stable channel for the molecular chemisorption of O$_{2}$. The
electronic and magnetic properties of this most stable chemisorbed molecular
state are studied, which shows that the electrons transfer forth and back
between the spin-resolved antibonding $\pi^{\ast}$ molecular orbitals and the
surface Be $sp$ states. A distinct covalent weight in the molecule-metal bond
is also shown. The dissociation of O$_{2}$ is determined by calculating the
adiabatic potential energy surfaces, wherein the T-Y channel is found to be the
most stable and favorable for the dissociative adsorption of O$_{2}$.
Remarkably, we predict that unlike the other simple $sp$ metal surfaces such as
Al(111) and Mg(0001), the \textit{adiabatic} dissociation process of O$_{2}$ at
Be(0001) is an activated type with a sizeable energy barrier.


title: Worldsheet Analysis of Gauge/Gravity Dualities

abstract:
  Gauge/gravity dualities are investigated from the worldsheet point of view.
In [arXiv:0706.1163] and [arXiv:0708.2463], a duality between 4d SYM and
supergravity on AdS_5xS^5 has been partly explained by using an anisotropic
scale invariance of worldsheet theory. In this paper, we refine the argument
and generalize it to lower dimensional cases. We show the correspondence
between the Wilson loops in (p+1)-d SYM and the minimal surface in the black
p-brane background. Although the scale invariance does not exist in these
cases, the generalized scale transformation can be utilized. We also find that
the energy density of open strings can be related to the ADM mass of the
p-brane without relying on this symmetry.


title: Solymosi's multiplicative energy bound for complex numbers

abstract:
  We extend the recent Solymosi's sum-product estimate for reals to the complex
case.


title:
Dynamics of a quantum phase transition with decoherence: the quantum
  Ising chain in a static spin environment

abstract:
  We consider a linear quench from the paramagnetic to ferromagnetic phase in
the quantum Ising chain interacting with a static spin environment. Both
decoherence from the environment and non-adiabaticity of the evolution near a
critical point excite the system from the final ferromagnetic ground state. For
weak decoherence and relatively fast quenches the excitation energy,
proportional to the number of kinks in the final state, decays like an inverse
square root of a quench time, but slow transitions or strong decoherence make
it decay in a much slower logarithmic way. We also find that fidelity between
the final ferromagnetic ground state and a final state after a quench decays
exponentially with a size of a chain, with a decay rate proportional to average
density of excited kinks, and a proportionality factor evolving from 1.3 for
weak decoherence and fast quenches to approximately 1 for slow transitions or
strong decoherence. Simultaneously, correlations between kinks randomly
distributed along the chain evolve from a near-crystalline anti-bunching to a
Poissonian distribution of kinks in a number of isolated Anderson localization
centers randomly scattered along the chain.

categories: quant-ph cond-mat.mes-hall cond-mat.stat-mech cond-mat.str-el cond-mat.supr-con


title:
Structural and spectral properties of a family of deterministic
  recursive trees: Rigorous solutions

abstract:
  As one of the most significant models, the uniform recursive tree (URT) has
found many applications in a variety of fields. In this paper, we study
rigorously the structural features and spectral properties of the adjacency
matrix for a family of deterministic uniform recursive trees (DURTs) that are
deterministic versions of URT. Firstly, from the perspective of complex
networks, we investigate analytically the main structural characteristics of
DURTs, and obtain the accurate solutions for these properties, which include
degree distribution, average path length, distribution of node betweenness, and
degree correlations. Then we determine the complete eigenvalues and their
corresponding eigenvectors of the adjacency matrix for DURTs. Our research may
shed light in better understanding of the features for URT. Also, the
analytical methods used here is capable of extending to many other
deterministic networks, making the precise computation of their properties
(especially the full spectrum characteristics) possible.


title: Experimental realization of programmable quantum gate

abstract:
  We experimentally demonstrate a programmable single-qubit quantum gate. This
device applies a unitary phase shift operation to a data qubit with the value
of the phase shift being fully determined by the state of a program qubit. Our
linear optical implementation is based on the encoding of qubits into
polarization states of single photons, two-photon interference on a polarizing
beam splitter, and measurement on the output program qubit. We fully
characterize the programmable gate by quantum process tomography. The achieved
average quantum process fidelity exceeding 97% illustrates very good
performance of the gate for all values of the encoded phase shift. We also show
that by using a different set of program states the device can operate as a
programmable partial polarization filter.


title: Discovery potential at the LHC: channels relevant for SM Higgs

abstract:
  The discovery potential of Standard Model Higgs searches at the LHC at 14 TeV
center-of-mass energy is reviewed. Decay channels such as $H\to\gamma\gamma$,
$H\to ZZ^{\star}\to 4\ell$, $H\to WW^{\star}$ and $H\to \tau\tau$ are
considered. Results are based on the most recent full GEANT-based simulations
performed by the ATLAS and CMS experiments.


title: CMB anisotropy induced by tachyonic perturbations of dark energy

abstract:
  We study effects of possible tachyonic perturbations of dark energy on the
CMB temperature anisotropy. Motivated by some models of phantom energy, we
consider both Lorentz-invariant and Lorentz-violating dispersion relations for
tachyonic perturbations. We show that in the Lorentz-violating case, the shape
of the CMB anisotropy spectrum generated by the tachyonic perturbations is very
different from that due to adiabatic scalar perturbations and, if sizeable, it
would be straightforwardly distinguished from the latter. The tachyonic
contribution improves slightly the agreement between the theory and data;
however, this improvement is not statistically significant, so our analysis
results in limits on the time scale of the tachyonic instability. In the
Lorentz-invariant case, tachyonic contribution is a rapidly decaying function
of the multipole number $l$, so that the entire observed dipole can be
generated without conflicting the data at higher multipoles. On the
conservative side, our comparison with the data places limit on the absolute
value of the (imaginary) tachyon mass in the Lorentz-invariant case.


title: Strangeness and charm at FAIR

abstract:
  We study the properties of strange and charm mesons in hot and dense matter
within a self-consistent coupled-channel approach for the experimental
conditions of density and temperature expected for the CBM experiment at
FAIR/GSI. The in-medium solution at finite temperature accounts for Pauli
blocking effects, mean-field binding on all the baryons involved, and meson
self-energies. In the strange sector, the $\bar K$ spectral function spreads
over a wide range of energies, reflecting the melting of the $\Lambda (1405)$
resonance and the contribution of $(\Lambda,\Sigma,\Sigma^*)N^{-1}$ components
at finite temperature. In the case of charm mesons, the dynamically-generated
$\Lambda_c(2593)$ and $\Sigma_c(2880)$ resonances remain close to their
free-space position while acquiring a remarkable width. As a result, the $D$
meson spectral density shows a single pronounced peak for energies close to the
$D$ meson free-space mass that broadens with increasing matter density with an
extended tail particularly towards lower energies. We also discuss the
implications for the $D_{s0}(2317)$, $D_0(2400)$ and the predicted X(3700)
resonances at FAIR energies.


title:
Effective pairing interaction in the two-dimensional Hubbard model
  within a spin rotationally invariant approach

abstract:
  We implement the rotationally-invariant formulation of the two-dimensional
Hubbard model, with nearest-neighbors hopping $t$, which allows for the
analytical study of the system in the low-energy limit. Both U(1) and SU(2)
gauge transformations are used to factorize the charge and spin contributions
to the original electron operator in terms of the corresponding gauge fields.
The Hubbard Coulomb energy $U$ term is then expressed in terms of quantum phase
variables conjugate to the local charge and variable spin-quantization axis,
providing a useful representation of strongly correlated systems. It is shown
that these gauge fields play a similar role as phonons in the BCS theory: they
act as the "glue" for fermion pairing. By tracing out gauge degrees of freedom,
the form of paired states is established and the strength of the pairing
potential is determined. It is found that the attractive pairing potential in
the effective low-energy fermionic action is non-zero in a rather narrow range
of $U/t$.


title: Logic programs with propositional connectives and aggregates

abstract:
  Answer set programming (ASP) is a logic programming paradigm that can be used
to solve complex combinatorial search problems. Aggregates are an ASP construct
that plays an important role in many applications. Defining a satisfactory
semantics of aggregates turned out to be a difficult problem, and in this paper
we propose a new approach, based on an analogy between aggregates and
propositional connectives. First, we extend the definition of an answer
set/stable model to cover arbitrary propositional theories; then we define
aggregates on top of them both as primitive constructs and as abbreviations for
formulas. Our definition of an aggregate combines expressiveness and
simplicity, and it inherits many theorems about programs with nested
expressions, such as theorems about strong equivalence and splitting.


title: Empirical evidence for tidal evolution in transiting planetary systems

abstract:
  Most transiting planets orbit very close to their parent star, causing strong
tidal forces between the two bodies. Tidal interaction can modify the dynamics
of the system through orbital alignment, circularisation, synchronisation, and
orbital decay by exchange of angular moment. Evidence for tidal circularisation
in close-in giant planet is well-known. Here we review the evidence for excess
rotation of the parent stars due to the pull of tidal forces towards spin-orbit
synchronisation. We find suggestive empirical evidence for such a process in
the present sample of transiting planetary systems. The corresponding angular
momentum exchange would imply that some planets have spiralled towards their
star by substantial amounts since the dissipation of the protoplanetary disc.
We suggest that this could quantitatively account for the observed mass-period
relation of close-in gas giants. We discuss how this scenario can be further
tested and point out some consequences for theoretical studies of tidal
interactions and for the detection and confirmation of transiting planets from
radial-velocity and photometric surveys.


title: Strict 2-Groups are Crossed Modules

abstract:
  The 2-categories of strict 2-groups and crossed modules are introduced and
their 2-equivalence is made explicit.


title:
Test of the ATLAS pion calibration scheme in the ATLAS combined test
  beam

abstract:
  Pion energy reconstruction is studied using the data collected during the
2004 ATLAS combined test beam. The strategy to extract corrections for the
non-compensating nature of the ATLAS calorimeters for dead material losses and
for leakage effects is discussed and assessed. The default ATLAS strategy based
on a weighting technique of the energy deposits in calorimeter cells is
presented and compared to a novel technique exploiting correlations among
energy deposited in calorimeter layers.


title: On the turbulent sources of the solar dynamo

abstract:
  We revisit the possible turbulent sources of the solar dynamo. Studying
axisymmetric mean-field dynamo models, we find that the large-scale poloidal
magnetic field could be generated not only by the famous alpha effect, but also
by the Omega x J and shear-current effects. The inclusion of these additional
turbulent sources alleviates several of the known problems of solar mean-field
dynamo models.


title: Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours

abstract:
  An SU(2) gauge theory with two fermions transforming under the adjoint
representation of the gauge group may appear conformal or almost conformal in
the infrared. We use lattice simulations to study the spectrum of this theory
and present results on the masses of several gauge singlet states as a function
of the physical quark mass determined through the axial Ward identity and find
indications of a change from chiral symmetry breaking to a phase consistent
with conformal behaviour at beta_L ~ 2. However, the measurement of the
spectrum is not alone sufficient to decisively confirm the existence of
conformal fixed point in this theory as we show by comparing to similar
measurements with fundamental fermions. Based on the results we sketch a
possible phase diagram of this lattice theory and discuss the applicability and
importance of these results for the future measurement of the evolution of the
coupling constant.


title: Commutativity and Ideals in Category Crossed Products

abstract:
  In order to simultaneously generalize matrix rings and group graded crossed
products, we introduce category crossed products. For such algebras we describe
the center and the commutant of the coefficient ring. We also investigate the
connection between on the one hand maximal commutativity of the coefficient
ring and on the other hand nonemptyness of intersections of the coefficient
ring by nonzero twosided ideals.


title: Liquid-Drop and Independent-Particle Models Revisited

abstract:
  Traditionally, the difference in binding energy from the experimental value
with respect to the theoretical liquid-drop model value, has been seen as
indication of independent-particle character along with magicity for particular
number of protons and neutrons. We study this carefully to demonstrate that it
actually indicates that the liquid-drop and the independent-particle phases of
the nucleus have equal fundamental primacy and coexist simultaneously in a
nucleus to provide a complete and a consistent description of the same.


title: Moduli of Bridgeland semistable objects on $\mathbb{P}^2$

abstract:
  We give another proof of Le Potier's result and some variants on moduli
spaces of semistable sheaves on the projective plane, using the Bridgeland
stability conditions. As an application we study the wall-crossing phenomena of
the Hilbert schemes of points on the projective plane.


title:
Near-thermal equilibrium with Tsallis distributions in heavy ion
  collisions

abstract:
  Hadron yields in high energy heavy ion collisions have been fitted and
reproduced by thermal models using standard statistical distributions. These
models give insight into the freeze-out conditions at varying beam energies. In
this paper we investigate changes to this analysis when the statistical
distributions are replaced by Tsallis distributions for hadrons. We investigate
the appearance of near-thermal equilibrium state at SPS and RHIC energies. We
obtain better fits with smaller chi^2 for the same hadron data, as applied
earlier in the thermal fits for SPS energies but not for RHIC energies. This
result indicates that at RHIC energies the final state is very well described
by a single freeze-out temperature with very little room for fluctuations.


title:
Reduction of polarimetric data using Mueller calculus applied to Nasmyth
  instruments

abstract:
  We present a method based on Mueller calculus to calibrate linear
polarimetric observations. The key advantages of the proposed way of
calibration are: (1) that it can be implemented in a data reduction pipeline,
(2) that it is possible to do accurate polarimetry also for
telescopes/instruments with polarimetric non-friendly architecture (e.g.
Nasmyth instruments) and (3) that the proposed strategy is much less time
consuming than standard calibration procedures. The telescope/instrument will
polarimetrically be described by a train of Mueller matrices. The components of
these matrices are dependent on wavelength, incident angle of the incoming
light and surface properties.


title:
Water transport inside a single-walled carbon nanotube driven by
  temperature gradient

abstract:
  In this work, by means of molecular dynamics simulations, we consider mass
transport of a water cluster inside a single-walled carbon nanotube (SWNT) with
the diameter of about 1.4 nm. The influence of the non-equilibrium thermal
environment on the confined water cluster has been investigated by imposing a
longitudinal temperature gradient to the SWNT. It is demonstrated that the
water cluster is transported with the average acceleration proportional to the
temperature gradient. Additional equilibrium simulations suggest that the
temperature dependence of the potential energy of the confined water is
sufficient to realize the transport. Particularly for the system with
hydrophobic interface, the water-water intrinsic potential energy appears to
play a dominant role. The transport simulations were also performed for a
system with a junction between two different SWNTs. The results suggest that an
angstrom difference in diameter may result in large barrier for water
transported through a small diameter SWNT.


title: Entropic uncertainties for joint quantum measurements

abstract:
  We investigate the uncertainty associated with a joint quantum measurement of
two components of spin of a spin-1/2 particle and quantify this in terms of
entropy. We consider two entropic quantities: the joint entropy and the sum of
the marginal entropies, and obtain lower bounds for each of these quantities.
For the case of joint measurements where we measure each spin observable
equally well, these lower bounds are tight.


title: The cluster complex of an hereditary artin algebra

abstract:
  We show that the cluster complex of an arbitrary hereditary artin algebra has
the structure of an abstract simplicial polytope. In particular, the
cluster-tilting objects form one equivalence class under mutation.


title:
Width of the $0-\pi$ phase transition in diffusive magnetic Josephson
  junctions

abstract:
  We investigate the Josephson current between two superconductors (S) which
are connected through a diffusive magnetic junction with a complex structure
(F$_{c}$). Using the quantum circuit theory, we obtain the phase diagram of 0
and $\pi$ Josephson couplings for F$_{c}$ being a IFI
(insulator-ferromagnet-insulator) double barrier junction or a IFNFI structure
(where N indicates a normal metal layer). Compared to a simple SFS structure,
we find that the width of the transition, defined by the interval of exchange
fields in which a $0-\pi$ transition is possible, is increased by insulating
barriers at the interfaces and also by the presence of the additional N layer.
The widest transition is found for symmetric F$_{c}$ structures. The symmetric
SIFNFIS presents the most favorable condition to detect the temperature induced
$0-\pi$ transition with a relative width, which is five times larger than that
of the corresponding simple SFS structure.


title:
Spin diffusion in Si/SiGe quantum wells: spin relaxation in the absence
  of D'yakonov-Perel' relaxation mechanism

abstract:
  In this work, the spin relaxation accompanying the spin diffusion in
symmetric Si/SiGe quantum wells without the D'yakonov-Perel' spin-relaxation
mechanism is calculated from a fully microscopic approach. The spin relaxation
is caused by the inhomogeneous broadening from the momentum-dependent spin
precessions in spatial domain under a magnetic field in the Voigt
configuration. In fact, this inhomogeneous broadening together with the
scattering lead to an irreversible spin relaxation along the spin diffusion.
The effects of scattering, magnetic field and electron density on spin
diffusion are investigated. Unlike the case of spin diffusion in the system
with the D'yakonov-Perel' spin-orbit coupling such as GaAs quantum wells where
the scattering can either enhance or reduce spin diffusion depending on whether
the system is in strong or weak scattering limit, the scattering in the present
system has no counter-effect on the inhomogeneous broadening and suppresses the
spin diffusion monotonically. The increase of magnetic field reduces the spin
diffusion, while the increase of electron density enhances the spin diffusion
when the electrons are degenerate but has marginal effect when the electrons
are nondegenerate.


title:
Measuring the isotropization time of quark-gluon plasma from direct
  photons at energies available at the BNL Relativistic Heavy Ion Collider
  (RHIC)

abstract:
  We calculate transverse momentum distribution of direct photons from various
sources by taking into account the initial state momentum anisotropy of {\em
Quark-Gluon-Plasma} (QGP) and late stage transverse flow effects. The total
photon yield, calculated for various combinations of initial conditions,
transition temperatures, is then compared with the recent measurement of photon
transverse momentum distribution by the PHENIX collaboration. It is shown that
the presence of such an anisotropy can describe the PHENIX photon data better
than the isotropic case. We show that the isotropization time thus extracted
remains of the order of 1 fm/c and is almost insensitive to the initial
conditions used.


title:
Surface waves and surface stability for a pre-stretched, unconstrained,
  non-linearly elastic half-space

abstract:
  An unconstrained, non-linearly elastic, semi-infinite solid is maintained in
a state of large static plane strain. A power-law relation between the
pre-stretches is assumed and it is shown that this assumption is well-motivated
physically and is likely to describe the state of pre-stretch for a wide class
of materials. A general class of strain-energy functions consistent with this
assumption is derived. For this class of materials, the secular equation for
incremental surface waves and the bifurcation condition for surface instability
are shown to reduce to an equation involving only ordinary derivatives of the
strain-energy equation. A compressible neo-Hookean material is considered as an
example and it is found that finite compressibility has little quantitative
effect on the speed of a surface wave and on the critical ratio of compression
for surface instability.


title:
Small amplitude waves and stability for a pre-stressed viscoelastic
  solid

abstract:
  We study the propagation of small amplitude waves superimposed on a large
static deformation in a nonlinear viscoelastic material of differential type.
We use bulk waves and surface waves to address the questions of dissipation and
of material and geometric stability. In particular, the analysis provides
bounds on the constitutive parameters and on the pre-deformation that ensure
linearized stability in the neighbourhood of a large pre-stretch. This type of
result is relevant to the imaging of biological soft tissues using acoustical
techniques, where pre-deformation is known to increase contrast and reduce
de-correlation noise.


title: Infinite sums of additive unstable Adams operations and cobordism

abstract:
  The elements of the ring of bidegree (0,0) additive unstable operations in
complex K-theory can be described explicitly as certain infinite sums of Adams
operations. Here we show how to make sense of the same expressions for complex
cobordism MU, thus identifying the "Adams subring" of the corresponding ring of
cobordism operations. We prove that the Adams subring is the centre of the ring
of bidegree (0,0) additive unstable cobordism operations.
  For an odd prime p, the analogous result in the p-local split setting is also
proved.


title: A Hot Cavity Laser Ion Source at IGISOL

abstract:
  A development program is underway at the IGISOL (Ion Guide Isotope Separator
On-Line) facility, University of Jyvaskyla, to efficiently and selectively
produce low-energy radioactive ion beams of silver isotopes and isomers, with a
particular interest in N=Z 94Ag. A hot cavity ion source has been installed,
based on the FEBIAD (Forced Electron Beam Induced Arc Discharge) technique,
combined with a titanium:sapphire laser system for selective laser ionization.
The silver recoils produced via the heavy-ion fusion-evaporation reaction,
40Ca(58Ni, p3n)94Ag, are stopped in a graphite catcher, diffused, extracted and
subsequently ionized using a three-step laser ionization scheme. The
performance of the different components of the hot cavity laser ion source is
discussed and initial results using stable 107,109Ag are presented.


title:
Wide shear zones and the spot model: Implications from the split-bottom
  geometry

abstract:
  The spot model has been developed by Bazant and co-workers to describe
quasistatic granular flows. It assumes that granular flow is caused by the
opposing flow of so-called spots of excess free volume, with spots moving along
the slip lines of Mohr-Coulomb plasticity. The model is two-dimensional and has
been successfully applied to a number of different geometries. In this paper we
investigate whether the spot model in its simplest form can describe the wide
shear zones observed in experiments and simulations of a Couette cell with
split bottom. We give a general argument that is independent of the particular
description of the stresses, but which shows that the present formulation of
the spot model in which diffusion and drift terms are postulated to balance on
length scales of order of the spot diameter, i.e. of order 3-5 grain diameters,
is difficult to reconcile with the observed wide shear zones. We also discuss
the implications for the spot model of co-axiality of the stress and strain
rate tensors found in these wide shear flows, and point to possible extensions
of the model that might allow one to account for the existence of wide shear
zones.


title:
Parallel hierarchical sampling: a practical multiple-chains sampler for
  Bayesian model selection

abstract:
  This paper introduces the parallel hierarchical sampler (PHS), a Markov chain
Monte Carlo algorithm using several chains simultaneously. The connections
between PHS and the parallel tempering (PT) algorithm are illustrated,
convergence of PHS joint transition kernel is proved and and its practical
advantages are emphasized. We illustrate the inferences obtained using PHS,
parallel tempering and the Metropolis-Hastings algorithm for three Bayesian
model selection problems, namely Gaussian clustering, the selection of
covariates for a linear regression model and the selection of the structure of
a treed survival model.


title: Juno, the angular momentum of Jupiter and the Lense-Thirring effect

abstract:
  The recently approved Juno mission will orbit Jupiter for one year in a
highly eccentric (r_min=1.06R_Jup, r_max=39R_Jup) polar orbit (i=90 deg) to
accurately map, among other things, the jovian magnetic and gravitational
fields. Such an orbital configuration yields an ideal situation, in principle,
to attempt a measurement of the general relativistic Lense-Thirring effect
through the Juno's node Omega which would be displaced by about 570 m over the
mission's duration. Conversely, by assuming the validity of general relativity,
the proposed test can be viewed as a direct, dynamical measurement of the
Jupiter's angular momentum S which would give important information concerning
the internal structure and formation of the giant planet. The long-period
orbital perturbations due to the zonal harmonic coefficients J_L, L=2,3,4,6 of
the multipolar expansion of the jovian gravitational potential accounting for
its departures from spherical symmetry are a major source of systematic bias.
While the Lense-Thirring node rate is independent of the inclination i, the
node zonal perturbations vanish for i=90. In reality, the orbit injection
errors will induce departures \delta i from the ideal polar geometry, so that
the zonal perturbations will come into play at an unacceptably high level, in
spite of the expected improvements in the low-degree zonals by Juno. A linear
combination of Omega, the periJove omega and the mean anomaly M cancels out the
impact of J_2 and J_6. A two orders of magnitude improvement in the uncanceled
J_3 and J_4 would be needed to reduce their bias on the relativistic signal to
the percent level; it does not seem unrealistic because the expected level of
improvement in such zonals is three orders of magnitude.


title:
Studying the continuum spectrum of the parsec scale jets by
  multi-frequency VLBI measurements

abstract:
  Multi-frequency VLBI observations allow studies of the continuum spectrum in
the different parts of the parsec scale jets of AGN, providing information on
the physical properties of the plasma and magnetic fields in them. Since VLBI
networks cannot be scaled, the range of spatial frequencies observed differs
significantly between the different observing frequencies, which makes it
difficult to obtain a broadband spectrum of the individual emission features in
the jet. In this paper we discuss a model-fitting based spectral extraction
method, which can significantly relieve this problem. The method uses a priori
knowledge of the source structure, measured at high frequencies, to allow at
lower frequencies the derivation of the sizes and flux densities of even those
emission features that have mutual separations significantly less than the
Rayleigh limit at the given frequency. We have successfully used this method in
the analysis of 5-86 GHz VLBA data of 3C273. The spectra and sizes of several
individual jet features were measured, thus allowing derivation of the magnetic
flux density and the energy density of the relativistic electrons in the
different parts of the jet. We discuss the results, which include e.g. a
detection of a strong gradient in the magnetic field across the jet of 3C273.


title: A Stark decelerator on a chip

abstract:
  A microstructured array of 1254 electrodes on a substrate has been configured
to generate an array of local minima of electric field strength with a
periodicity of 120 $\mu$m about 25 $\mu$m above the substrate. By applying
sinusoidally varying potentials to the electrodes, these minima can be made to
move smoothly along the array. Polar molecules in low-field seeking quantum
states can be trapped in these traveling potential wells. Recently, we
experimentally demonstrated this by transporting metastable CO molecules at
constant velocities above the substrate [Phys. Rev. Lett. 100 (2008) 153003].
Here, we outline and experimentally demonstrate how this microstructured array
can be used to decelerate polar molecules directly from a molecular beam. For
this, the sinusoidally varying potentials need to be switched on when the
molecules arrive above the chip, their frequency needs to be chirped down in
time, and they need to be switched off before the molecules leave the chip
again. Deceleration of metastable CO molecules from an initial velocity of 360
m/s to a final velocity as low as 240 m/s is demonstrated in the 15-35 mK deep
potential wells above the 5 cm long array of electrodes. This corresponds to a
deceleration of almost $10^5$ $g$, and about 85 cm$^{-1}$ of kinetic energy is
removed from the metastable CO molecules in this process.


title:
Isospectrality of conventional and new extended potentials, second-order
  supersymmetry and role of PT symmetry

abstract:
  We develop a systematic approach to construct novel completely solvable
rational potentials. Second-order supersymmetric quantum mechanics dictates the
latter to be isospectral to some well-studied quantum systems. $\cal PT$
symmetry may facilitate reconciling our approach to the requirement that the
rationally-extended potentials be singularity free. Some examples are shown.


title: Antiphased Cyclotron-Magnetoplasma Mode in a Quantum Hall System

abstract:
  An antiphased magnetoplasma (MP) mode in a two-dimensional electron gas
(2DEG) has been studied by means of inelastic light scattering (ILS)
spectroscopy. Unlike the cophased MP mode it is purely quantum excitation which
has no classic plasma analogue. It is found that zero momentum degeneracy for
the antiphased and cophased modes predicted by the first-order perturbation
approach in terms of the {\it e-e} interaction is lifted. The zero momentum
energy gap is determined by a negative correlation shift of the antiphased
mode. This shift, observed experimentally and calculated theoretically within
the second-order perturbation approach, is proportional to the effective
Rydberg constant in a semiconductor material.


title: Non-commutativity as a measure of inequivalent quantization

abstract:
  We show that the strength of non-commutativity could play a role in
determining the boundary condition of a physical problem. As a toy model we
consider the inverse square problem in non-commutative space. The scale
invariance of the system is known to be explicitly broken by the scale of
non-commutativity \Theta. The resulting problem in non-commutative space is
analyzed. It is shown that despite the presence of higher singular potential
coming from the leading term of the expansion of the potential to first order
in \Theta, it can have a self-adjoint extensions. The boundary conditions are
obtained, belong to a 1-parameter family and related to the strength of
non-commutativity.


title: Quantum Transport through Nanostructures with Orbital Degeneracies

abstract:
  Geometric symmetries cause orbital degeneracies in a molecule's spectrum. In
a single-molecule junction, these degeneracies are lifted by various
symmetry-breaking effects. We study quantum transport through such
nanostructures with an almost degenerate spectrum. We show that the master
equation for the reduced density matrix must be derived within the
singular-coupling limit as opposed to the conventional weak-coupling limit.
This results in signatures of the density matrix's off-diagonal elements in the
transport characteristics.


title: Hilbert scheme of rational cubic curves via stable maps

abstract:
  The space of smooth rational cubic curves in projective space $\PP^r$ ($r\ge
3$) is a smooth quasi-projective variety, which gives us an open subset of the
corresponding Hilbert scheme, the moduli space of stable maps, or the moduli
space of stable sheaves. By taking its closure, we obtain three
compactifications $\bH$, $\bM$, and $\bS$ respectively. In this paper, we
compare these compactifications. First, we prove that $\bH$ is the blow-up of
$\bS$ along a smooth subvariety which is the locus of stable sheaves which are
planar (i.e. support is contained in a plane). Next we prove that $\bS$ is
obtained from $\bM$ by three blow-ups followed by three blow-downs and the
centers are described explicitly. Using this, we calculate the cohomology of
$\bS$.


title: Supercurrent coupling in the Faddeev-Skyrme model

abstract:
  Motivated by the sigma model limit of multicomponent Ginzburg-Landau theory,
a version of the Faddeev-Skyrme model is considered in which the scalar field
is coupled dynamically to a one-form field called the supercurrent. This
coupled model is investigated in the general setting where physical space is an
oriented Riemannian manifold and the target space is a Kaehler manifold. It is
shown that supercurrent coupling destroys the topological stability enjoyed by
the usual Faddeev-Skyrme model, so that there can be no globally stable knot
solitons in this model. Nonetheless, local energy minimizers may still exist.
The first variation formula is derived and used to construct three families of
static solutions of the model, all on compact domains. In particular, a coupled
version of the unit-charge hopfion on a three-sphere of arbitrary radius is
found. The second variation formula is derived, and used to analyze the
stability of some of these solutions. A family of stable solutions is
identified, though these may exist only in spaces of even dimension. Finally,
it is shown that, in contrast to the uncoupled model, the coupled unit hopfion
on the three-sphere of radius R is unstable for all R. This gives an explicit,
exact example of supercurrent coupling destabilizing a stable solution of the
uncoupled Faddeev-Skyrme model, and casts doubt on the conjecture of Babaev,
Faddeev and Niemi that knot solitons should exist in the low-energy regime of
two-component superconductors.


title:
Could the Fermi-LAT detect gamma-rays from dark matter annihilation in
  the dwarf galaxies of the Local Group?

abstract:
  The detection of gamma-rays from dark matter (DM) annihilation is among the
scientific goals of the Fermi Large Area Telescope (formerly known as GLAST)
and Cherenkov telescopes. In this paper we investigate the existence of
realistic chances of such a discovery selecting some nearby dwarf spheroidal
galaxies (dSph) as a target. We study the detectability with the Fermi-LAT of
the gamma-ray flux from DM annihilation in Draco, Ursa Minor, Carina, and
Sextans, for which the state-of-art DM density profiles were available. We
assume the DM is made of Weakly Interacting Massive Particles such as the
Lightest Supersymmetric Particle (LSP) and compute the expected gamma-ray flux
for optimistic choices of the unknown underlying particle physics parameters.
We then compute the boost factors due to the presence of DM clumps and of a
central supermassive black hole. Finally, we compare our predictions with the
Fermi-LAT sensitivity maps. We find that the dSph galaxies shine above the
Galactic smooth halo: e.g., the Galactic halo is brighter than the Draco dSph
only for angles smaller than 2.3 degrees above the Galactic Center. We also
find that the presence of a cusp or a constant density core in the DM mass
density profile does not produce any relevant effect in the gamma-ray flux due
to the fortunate combination of the geometrical acceptance of the Fermi-LAT
detector and the distance of the galaxies and that no significant enhancement
is given by the presence of a central black hole or a population of
sub-subhalos. We conclude that, even for the most optimistic scenario of
particle physics, the gamma-ray flux from DM annihilation in the dSph galaxies
of the LG would be too low to be detected with the Fermi-LAT.


title:
Extremely faint high proper motion objects from SDSS stripe 82 - Optical
  classification spectroscopy of about 40 new objects

abstract:
  (abridged) Deep multi-epoch Sloan Digital Sky Survey data in a 275 square
degrees area along the celestial equator (SDSS stripe 82 = S82) allowed us to
search for extremely faint ($i>21$) objects with proper motions larger than
0.14 arcsec/yr. We classify 38 newly detected objects with low-resolution
optical spectroscopy using FORS1 @ ESO VLT. All 22 previously known L dwarfs in
S82 have been detected in our high proper motion survey. However, 11 of the
known L dwarfs have smaller proper motions (0.01$<$$\mu$$<$0.14 arcsec/yr).
Although S82 was already one of the best investigated sky regions with respect
to L and T dwarfs, we are able to classify 13 new L dwarfs. We have also found
eight new M7.5-M9.5 dwarfs. Four new cool white dwarfs (CWDs) discovered by us
are about 1-2 mag fainter than those previously detected in SDSS data. All new
L-type, late-M and CWD objects show thick disk and halo kinematics. There are
13 objects, mostly with uncertain proper motions, which we initially classified
as mid-M dwarfs. Among them we have found 9 with an alternative subdwarf
classification (sdM7 or earlier types), whereas we have not found any new
spectra resembling the known ultracool ($>$sdM7) subdwarfs. Some M subdwarf
candidates have been classified based on spectral indices with large
uncertainties. We failed to detect new nearby ($d<50$ pc) L dwarfs, probably
because the S82 area was already well-investigated before. With our survey we
have demonstrated a higher efficiency in finding Galactic halo CWDs than
previous searches. The space density of halo CWDs is according to our results
about 1.5-3.0 $\times$ 10$^{-5}$ pc$^{-3}$.


title: Feshbach Resonances in Ultracold Gases

abstract:
  Feshbach resonances are the essential tool to control the interaction between
atoms in ultracold quantum gases. They have found numerous experimental
applications, opening up the way to important breakthroughs. This Review
broadly covers the phenomenon of Feshbach resonances in ultracold gases and
their main applications. This includes the theoretical background and models
for the description of Feshbach resonances, the experimental methods to find
and characterize the resonances, a discussion of the main properties of
resonances in various atomic species and mixed atomic species systems, and an
overview of key experiments with atomic Bose-Einstein condensates, degenerate
Fermi gases, and ultracold molecules.


title: The Argon Dark Matter Experiment (ArDM)

abstract:
  The ArDM experiment, a 1 ton liquid argon TPC/Calorimeter, is designed for
the detection of dark matter particles which can scatter off the spinless argon
nuclei. These events producing a recoiling nucleus will be discerned by their
light to charge ratio, as well as the time structure of the scintillation
light. The experiment is presently under construction and will be commissioned
on surface at CERN. Here we describe the detector concept and give a short
review on the main detector components.


title: Casimir pressure on a thin metal slab

abstract:
  We consider the vacuum-field pressure on boundaries of a metal slab in the
middle of a cavity with perfectly reflecting mirrors adopting the plasma model
for the metal and paying special attention to the surface plasmon polariton
contribution to the pressure. We demonstrate that, with increasing cavity
length, the pressure on a thin (d<<\lambda_P) slab in this system decreases
from the Casimir pressure F_C at zero slab-mirror distances to the non-retarded
force per unit area F_nr=1.19 (d/\lambda_P)F_C in the case of an isolated slab.
In the first case the pressure is entirely due to the photonic modes
propagating through the metal whereas in the second case it is entirely due to
the (nonretarded) surface plasmon modes supported by the free-standing thin
slab. In either case the pressure decreases with the slab thickness. These
considerations indicate that the vacuum-field pressure on a thin metal layer
(and its modal structure) can be in a symmetric cavity significantly influenced
when changing the cavity length.


title: Pion-cloud effects in the BSE description of mesons

abstract:
  We investigate the effect of including hadronic resonance contributions in
the description of light quarks and mesons. To this end we take into account
the back-coupling of the pion onto the quark propagator within the
non-perturbative continuum framework of Schwinger-Dyson equations (SDE) and
Bethe-Salpeter equations (BSE), in essence describing the so-called
\emph{pion-cloud}. As a result of our study we find that an unquenching of this
form provides for considerable effects in the spectrum of light mesons.


title: The June 2008 flare of Markarian 421 from optical to TeV energies

abstract:
  We present optical, X-ray, high energy ($\lessapprox 30$ GeV) and very high
energy ($\gtrapprox 100$ GeV; VHE) observations of the high-frequency peaked
blazar Mrk 421 taken between 2008 May 24 and June 23. A high energy
$\gamma$-ray signal was detected by AGILE with \sqrt{TS}=4.5 on June 9--15,
with $F(E>100 \mathrm{MeV})= 42^{+14}_{-12}\times 10^{-8}$ photons cm$^{-2}$
s$^{-1}$. This flaring state is brighter than the average flux observed by
EGRET by a factor of $\sim$3, but still consistent with the highest EGRET flux.
In hard X-rays (20-60 keV) SuperAGILE resolved a 5-day flare (June 9-15)
peaking at $\sim$ 55 mCrab. SuperAGILE, RXTE/ASM and Swift/BAT data show a
correlated flaring structure between soft and hard X-rays. Hints of the same
flaring behavior are also detected in the simultaneous optical data provided by
the GASP-WEBT. A Swift/XRT observation near the flaring maximum revealed the
highest 2-10 keV flux ever observed from this source, of 2.6 $\times 10^{-9}$
erg cm$^{-2}$ s$^{-1}$ (i.e. > 100 mCrab). A peak synchrotron energy of $\sim$3
keV was derived, higher than typical values of $\sim$0.5-1 keV. VHE
observations with MAGIC and VERITAS on June 6-8 show the flux peaking in a
bright state, well correlated with the X-rays. This extraordinary set of
simultaneous data, covering a twelve-decade spectral range, allowed for a deep
analysis of the spectral energy distribution as well as of correlated light
curves. The $\gamma$-ray flare can be interpreted within the framework of the
synchrotron self-Compton model in terms of a rapid acceleration of leptons in
the jet.


title: More about the new non-selfdual axially symmetric SU(2) calorons

abstract:
  We describe the recently found non-selfdual axially symmetric caloron
solutions of SU(2) gluodynamics with trivial holonomy. We present the local
Polyakov loop together with the action and topological charge density.
Different from the well-known KvBLL calorons, the calorons considered here are
composed out of pseudoparticle constituents carrying integer topological
charge. The loci of Polyakov loop L = -1 correspond to the loci of Higgs field
zeroes for corresponding solutions of the Yang-Mills Higgs system. For certain
parameters pointlike monopole pairs turn into rings.


title:
Self-gravitating clouds of generalized Chaplygin and modified
  anti-Chaplygin Gases

abstract:
  The Chaplygin gas has been proposed as a possible dark energy, dark matter
candidate. As a working fluid in a Friedmann-Robertson-Walker universe, it
exhibits early behavior reminiscent of dark matter, but at later times is more
akin to a cosmological constant. In any such universe, however, one can expect
local perturbations to form. Here we obtain the general equations for a
self-gravitating relativistic Chaplygin gas. We solve these equations and
obtain the mass-radius relationship for such structures, showing that only in
the phantom regime is the mass-radius relationship large enough to be a serious
candidate for highly compact massive objects at the galaxy core. In addition,
we study the cosmology of a modified anti-Chaplygin gas. A self-gravitating
cloud of this matter is an exact solution to Einstein's equations.


title: Trans-Coordinate Physics

abstract:
  Standard practice attempts to remove coordinate influence in physics through
the use of invariant equations. Trans-coordinate physics proceeds differently
by not introducing space-time coordinates in the first place. Differentials
taken from a novel limiting process are defined for a particle's wave function,
allowing the particle's dynamic principle to operate locally without the use of
coordinates. These differentials replace the covariant differentials of
Riemannian geometry. With coordinates out of the way regional conservation
principles and the Einstein field equation are no longer fundamentally defined;
although they are constructible along with coordinate systems so they continue
to be analytically useful. Gravity waves as presently understood are not
defined, so we conclude that the gravitational detectors LIGO and Weber bar
will not work. We assume that gravitons alone are fundamentally responsible for
gravity. It is shown how gravitational uncertainty can be reconciled with the
certainty of quantum mechanical dynamics. Keywords: covariance, invariance,
geometry, gravitons, metric spaces, state reduction; 03.65.a, 03.65.Ta,
04.20.Cv


title:
On the largest-eigenvalue process for generalized Wishart random
  matrices

abstract:
  Using a change-of-measure argument, we prove an equality in law between the
process of largest eigenvalues in a generalized Wishart random-matrix process
and a last-passage percolation process. This equality in law was conjectured by
Borodin and Peche.


title: Shear Induced Structural Ordering of a Model Metallic Glass

abstract:
  We report results of non-equilibrium molecular dynamics simulations of a
one-component glassy system under the influence of a shear flow, with the aim
of investigating shear induced ordering of this system. In spite of the very
low temperature, the system transforms into a strained crystalline state
through well defined nucleation events. Various characteristics of the observed
ordering at different strain rates and temperatures are discussed. We also
define and discuss the transition rates.


title: The Ridge, the Glasma and Flow

abstract:
  I discuss the ridge phenomena observed in heavy ion collisions at RHIC. I
argue that the ridge may be due to flux tubes formed from the Color Glass
Condensate in the early Glasma phase of matter produced in such collisions


title: Systematic Perturbation Theory for Dynamical Coarse-Graining

abstract:
  We demonstrate how the dynamical coarse-graining approach can be
systematically extended to higher orders in the coupling between system and
reservoir. Up to second order in the coupling constant we explicitly show that
dynamical coarse-graining unconditionally preserves positivity of the density
matrix -- even for bath density matrices that are not in equilibrium and also
for time-dependent system Hamiltonians. By construction, the approach correctly
captures the short-time dynamics, i.e., it is suitable to analyze non-Markovian
effects. We compare the dynamics with the exact solution for highly
non-Markovian systems and find a remarkable quality of the coarse-graining
approach. The extension to higher orders is straightforward but rather tedious.
The approach is especially useful for bath correlation functions of simple
structure and for small system dimensions.


title: Exact solution to a nearly parallel vortex filament mean-field theory

abstract:
  Nearly parallel vortex filaments are a generalization of point vortices and
describe many phenomena under conservation of angular momentum including
vortices forming in deep ocean convection, magnetically confined plasmas, and
the solar atmosphere. While point vortices represent perfectly straight,
parallel lines of circulation, nearly parallel vortex filaments have some
curvature due to internal viscosity. They interact logarithmically but have a
kinetic self-energy as well. In this letter, I present an exact solution of a
system of these filaments under angular momentum conservation in a mean-field
theory. I show that the filaments have an infinite order phase transition not
present in the point vortex model.


title:
New Results of Observations of the Only Supernova Remnant in the IC1613
  Galaxy

abstract:
  The new results of a study of the kinematics of the supernova remnant S8 in
the IC1613 galaxy are reported. The expansion velocity of the bright optical
nebula is determined based on observations made with the 6-m telescope of the
Special Astrophysical Observatory of the Russian Academy of Sciences using MPSF
field spectrograph and SCORPIO focal reducer operating in the scanning
Fabry--Perot interferometer mode. An analysis of 21-cm line VLA observations of
the galaxy corroborates our earlier proposed model of a SN exploding inside a
cavern surrounded by a dense shell and S8 colliding with the wall of the HI
shell.


title:
On a novel integrable generalization of the nonlinear Schr\"odinger
  equation

abstract:
  We consider an integrable generalization of the nonlinear Schr\"odinger (NLS)
equation that was recently derived by one of the authors using bi-Hamiltonian
methods. This equation is related to the NLS equation in the same way that the
Camassa Holm equation is related to the KdV equation. In this paper we: (a) Use
the bi-Hamiltonian structure to write down the first few conservation laws. (b)
Derive a Lax pair. (c) Use the Lax pair to solve the initial value problem. (d)
Analyze solitons.


title: Modular theory for the von Neumann algebras of Local Quantum Physics

abstract:
  In the first part, the second quantization procedure and the free Bosonic
scalar field will be introduced, and the axioms for quantum fields and nets of
observable algebras will be discussed.
  The second part is mainly devoted to an illustration of the
Bisognano-Wichmann theorem for Wightman fields and in the algebraic setting,
with a discussion on the physical meaning of this result.
  In the third part some reconstruction theorems based on modular groups will
be described, in particular the possibility of constructing an action of the
symmetry group of a given theory via modular groups, and the construction of
free field algebras via representations of the symmetry group.


title:
Preferred numbers and the distribution of trade sizes and trading
  volumes in the Chinese stock market

abstract:
  The distribution of trade sizes and trading volumes are investigated based on
the limit order book data of 22 liquid Chinese stocks listed on the Shenzhen
Stock Exchange in the whole year 2003. We observe that the size distribution of
trades for individual stocks exhibits jumps, which is caused by the number
preference of traders when placing orders. We analyze the applicability of the
"$q$-Gamma" function for fitting the distribution by the Cram\'{e}r-von Mises
criterion. The empirical PDFs of trading volumes at different timescales
$\Delta{t}$ ranging from 1 min to 240 min can be well modeled. The
applicability of the $q$-Gamma functions for multiple trades is restricted to
the transaction numbers $\Delta{n}\leqslant8$. We find that all the PDFs have
power-law tails for large volumes. Using careful estimation of the average tail
exponents $\alpha$ of the distribution of trade sizes and trading volumes, we
get $\alpha>2$, well outside the L{\'e}vy regime.


title: Equations of electromagnetism in some special anisotropic spaces

abstract:
  We show that anisotropy of the space naturally leads to new terms in the
expression of Lorentz force, as well as in the expressions of currents.


title: INTEGRAL Observations of the Perseus cluster

abstract:
  We present the results of a 500 ksec observation of the Perseus cluster with
INTEGRAL, with the aim of investigating the possible diffuse non-thermal
component detected in a previous Chandra observation. In the 3-20 keV band with
the JEM-X instrument, we detect the source with high significance and resolve
it spatially. Above 20 keV with IBIS/ISGRI, we find that the source is
point-like, and the cluster could be detected up to 120 keV. From the
broad-band ISGRI/JEM-X spectrum, although we detect a non-thermal component, we
find that the high-energy flux is variable and is consistent with the
extrapolation of the 2-10 keV flux of the central AGN, NGC 1275. The
extrapolation of the non-thermal component claimed from Chandra data exceeds
the INTEGRAL spectrum by a factor of 3.


title:
High domain wall velocities induced by current in ultrathin Pt/Co/AlOx
  wires with perpendicular magnetic anisotropy

abstract:
  Current-induced domain wall (DW) displacements in an array of ultrathin
Pt/Co/AlOx wires with perpendicular magnetic anisotropy have been directly
observed by wide field Kerr microscopy. DWs in all wires in the array were
driven simultaneously and their displacement on the micrometer-scale was
controlled by the current pulse amplitude and duration. At the lower current
densities where DW displacements were observed (j less than or equal to 1.5 x
10^12 A/m^2), the DW motion obeys a creep law. At higher current density (j =
1.8 x 10^12 A/m^2), zero-field average DW velocities up to 130 +/- 10 m/s were
recorded.


title: Entangled-Photon Coincidence Fluorescence Imaging

abstract:
  We extend entangled coincidence (ghost) imaging to fluorescent samples. Given
the entangled photon correlation, one photon of the pair carries information on
where the other photon has been absorbed and has produced fluorescence in a
sample. Fluorescent molecules serve as ''detectors breaking'' the entanglement.


title: Subsystems and Independence in Relativistic Microscopic Physics

abstract:
  The analyzability of the universe into subsystems requires a concept of the
"independence" of the subsystems, of which the relativistic quantum world
supports many distinct notions which either coincide or are trivial in the
classical setting. The multitude of such notions and the complex relations
between them will only be adumbrated here. The emphasis of the discussion is
placed upon the warrant for and the consequences of a particular notion of
subsystem independence, which, it is proposed, should be viewed as primary and,
it is argued, provides a reasonable framework within which to sensibly speak of
relativistic quantum subsystems.


title: Strongly Interacting Matter at High Energy Density

abstract:
  This lecture concerns the properties of strongly interacting matter (which is
described by Quantum Chromodynamics) at very high energy density. I review the
properties of matter at high temperature, discussing the deconfinement phase
transition . At high baryon density and low temperature, large $N_c$ arguments
are developed which suggest that high baryonic density matter is a third form
of matter, Quarkyonic Matter, that is distinct from confined hadronic matter
and deconfined matter. I finally discuss the Color Glass Condensate which
controls the high energy limit of QCD, and forms the low x part of a hadron
wavefunction. The Glasma is introduced as matter formed by the Color Glass
Condensate which eventually thermalizes into a Quark Gluon Plasma.


title:
Coherent and incoherent diffractive hadron production in pA collisions
  and gluon saturation

abstract:
  We study coherent and incoherent diffractive hadron production in high energy
quarkonium--heavy nucleus collisions as a probe of the gluon saturation regime
of QCD. Taking this process as a model for pA collisions, we argue that the
coherent diffractive gluon production, in which the target nucleus states
intact, exhibits a remarkable sensitivity to the energy, rapidity and atomic
number dependence. The incoherent diffractive gluon production is less
sensitive to the details of the low-x dynamics but can serve as a probe of
fluctuations in the color glass condensate. As a quantitative measure of the
nuclear effects on diffractive hadron production we introduce a new observable
-- the diffractive nuclear modification factor. We discuss possible signatures
of gluon saturation in diffractive gluon production at RHIC, LHC and EIC.


title:
Metal-Insulator phase diagram and orbital selectivity in 3-orbital
  models with rotationally invariant Hund coupling

abstract:
  A three band model containing the essential physics of transition metal
oxides with partially filled t_2g shells is solved in the single-site dynamical
mean field approximation, using the full rotationally invariant Slater-Kanamori
interactions. We compute the metal-Mott insulator phase diagram in the space of
chemical potential and interaction strength, determine the response of the
different phases to perturbations which break the orbital symmetry, and
establish the regimes in which an orbital selective Mott phase occurs. The
results are compared to data on titanates, ruthenates, vanadates and C_60.


title:
Causality-based criteria for a negative refractive index must be used
  with care

abstract:
  Using the principle of causality as expressed in the Kramers-Kronig
relations, we derive a generalized criterion for a negative refractive index
that admits imperfect transparency at an observation frequency $\omega$. It
also allows us to relate the global properties of the loss (i.e. its frequency
response) to its local behaviour at $\omega$. However, causality-based criteria
rely the on the group velocity, not the Poynting vector. Since the two are not
equivalent, we provide some simple examples to compare the two criteria.


title:
Coherence properties and luminescence spectra of condensed polaritons in
  CdTe microcavities

abstract:
  We analyse the spatial and temporal coherence properties of a two-dimensional
and finite sized polariton condensate with parameters tailored to the recent
experiments which have shown spontaneous and thermal equilibrium polariton
condensation in a CdTe microcavity [J. Kasprzak, M. Richard, S. Kundermann, A.
Baas, P. Jeambrun, J.M.J. Keeling, F.M. Marchetti, M.H. Szymanska, R. Andre,
J.L. Staehli, et al., Nature 443 (7110) (2006) 409]. We obtain a theoretical
estimate of the thermal length, the lengthscale over which full coherence
effectively exists (and beyond which power-law decay of correlations in a
two-dimensional condensate occurs), of the order of 5 micrometers. In addition,
the exponential decay of temporal coherence predicted for a finite size system
is consistent with that found in the experiment. From our analysis of the
luminescence spectra of the polariton condensate, taking into account pumping
and decay, we obtain a dispersionless region at small momenta of the order of 4
degrees. In addition, we determine the polariton linewidth as a function of the
pump power. Finally, we discuss how, by increasing the exciton-photon detuning,
it is in principle possible to move the threshold for condensation from a
region of the phase diagram where polaritons can be described as a weakly
interacting Bose gas to a region where instead the composite nature of
polaritons becomes important.


title: Theoretical concepts of parton saturation - from HERA to LHC

abstract:
  We present a short summary of parton saturation concepts as seen in deep
inelastic scattering.


title:
Quantitative rescattering theory for laser-induced high-energy plateau
  photoelectron spectra

abstract:
  A comprehensive quantitative rescattering (QRS) theory for describing the
production of high-energy photoelectrons generated by intense laser pulses is
presented. According to the QRS, the momentum distributions of these electrons
can be expressed as the product of a returning electron wave packet with the
elastic differential cross sections (DCS) between free electrons with the
target ion. We show that the returning electron wave packets are determined
mostly by the lasers only, and can be obtained from the strong field
approximation. The validity of the QRS model is carefully examined by checking
against accurate results from the solution of the time-dependent Schr\"odinger
equation for atomic targets within the single active electron approximation. We
further show that experimental photoelectron spectra for a wide range of laser
intensity and wavelength can be explained by the QRS theory, and that the DCS
between electrons and target ions can be extracted from experimental
photoelectron spectra. By generalizing the QRS theory to molecular targets, we
discuss how few-cycle infrared lasers offer a promising tool for dynamic
chemical imaging with temporal resolution of a few femtoseconds.


title: Conjecture de type de Serre et formes compagnons pour GSp_4

abstract:
  We present a Serre-type conjecture on the modularity of four-dimensional
symplectic mod p Galois representations. We assume that the Galois
representation is irreducible and odd (in the symplectic sense). The modularity
condition is formulated using the etale and the algebraic de Rham cohomology of
Siegel modular varieties of level prime to p. We concentrate on the case when
the Galois representation is ordinary at p and we give a corresponding list of
Serre weights. When the representation is moreover tamely ramified at p, we
conjecture that all weights of this list are modular, otherwise we describe a
subset of weights on the list that should be modular. We propose a construction
of de Rham cohomology classes using the dual BGG complex, which should realise
some of these weights.


title: An almost all result on $q_1 q_2 \equiv c \pmod q$

abstract:
  In this paper we consider the congruence equation $q_1 q_2 \equiv c \pmod q$
with $a < q_1 \leq a + q^{1/2+\epsilon}$ and $b < q_2 \leq b +
q^{1/2+\epsilon}$ and show that it has solution for almost all $a$ and $b$.
Then we apply it to a question of Fujii and Kitaoka as well as generalize it to
more variables. At the end, we will present a new way to attack the above
congruence equation question through higher moments.


title: Multichannel Description of Light and Intermediate Scalar Mesons

abstract:
  The light scalar mesons in a variety of approaches are briefly reviewed, as
well as their description in the Resonance-Spectrum Expansion and related
coupled-channel formalisms. A recent multichannel modelling of the light
scalars is extended to higher energies and with additional decay channels,
allowing to make predictions for the intermediate scalar mesons as well.
Prospects for further improvements are discussed.
  PACS numbers: 14.40.Cs, 14.40.Ev, 11.80.Gw, 11.55.Ds, 13.75.Lb


title: On global offensive k-alliances in graphs

abstract:
  We investigate the relationship between global offensive $k$-alliances and
some characteristic sets of a graph including $r$-dependent sets and
$\tau$-dominating sets. As a consequence of the study, we obtain bounds on the
global offensive $k$-alliance number in terms of several parameters of the
graph.


title: Top Quark Mass in Lepton+Jets Decays at the Tevatron

abstract:
  Various measurements of the top quark mass in the lepton+jets decay channel
of top quark pair production are presented. The measurements are performed on
data samples of up to 2.7 fb-1 of integrated luminosity acquired by the CDF and
D0 experiments in Run-II of the Tevatron proton-anti-proton collider at a
center-of-mass energy of sqrt(s) = 1.96 TeV. The new Tevatron combination using
up to 2.8 fb-1 of data results in a preliminary world average mass of the top
quark of m_top = 172.4 +- 1.2 GeV. This corresponds to a relative precision of
0.7%.


title:
Sub-Microarcsecond Astrometry with SIM-Lite: A Testbed-based Performance
  Assessment

abstract:
  SIM-Lite is an astrometric interferometer being designed for
sub-microarcsecond astrometry, with a wide range of applications from searches
for Earth-analogs to determining the distribution of dark matter. SIM-Lite
measurements can be limited by random and systematic errors, as well as
astrophysical noise. In this paper we focus on instrument systematic errors and
report results from SIM-Lite's interferometer testbed. We find that, for
narrow-angle astrometry such as used for planet finding, the end-of-mission
noise floor for SIM-Lite is below 0.035 uas.


title:
Structures and topological transitions of hydrocarbon films on
  quasicrystalline surfaces

abstract:
  Lubricants can affect quasicrystalline coatings surfaces by modifying
commensurability of the interfaces. We report results of the first computer
simulation studies of physically adsorbed hydrocarbons on a quasicrystalline
surface: methane, propane, and benzene on decagonal Al-Ni-Co. The grand
canonical Monte Carlo method is employed, using novel Embedded Atom Method
potentials generated from it ab initio calculations, and standard hydrocarbon
interactions. The resulting adsorption isotherms and calculated structures show
the films' evolution from submonolayer to condensation. We discover the
presence and absence of the 5- to 6-fold topological transition, for benzene
and methane, respectively, in agreement with a previsouly formulated
phenomenological rule based on adsorbate-substrate size mismatch.


title:
The phase diagram for the Nambu--Jona-Lasinio model with 't Hooft and
  eight-quark interactions

abstract:
  It is shown that the endpoint of the first order transition line which merges
into a crossover regime in the phase diagram of the Nambu--Jona-Lasinio model,
extended to include the six-quark 't Hooft and eight-quark interaction
Lagrangians, is pushed towards vanishing chemical potential and higher
temperatures with increasing strength of the OZI-violating eight-quark
interactions. We clarify the connection between the location of the endpoint in
the phase diagram and the mechanism of chiral symmetry breaking at the quark
level. We show how the 8q interactions affect the number of effective quark
degrees of freedom. We are able to obtain the correct asymptotics for this
number at large temperatures by using the Pauli-Villars regularization.