title: Hard (State) Problems

abstract:
  For microquasars, the one time when these systems exhibit steady and powerful
jets is when they are in the hard state. Thus, our understanding of this state
is key to learning about the disk/jet connection. Recent observational and
theoretical results have led to questions about whether we really understand
the physical properties of this state, and even our basic picture of this state
is uncertain. Here, I discuss some of the recent developments and possible
problems with our understanding of this state. Overall, it appears that the
strongest challenge to the standard truncated disk picture is the detection of
broad iron features in the X-ray spectra, and it seems that either there is a
problem with the truncated disk picture or there is a problem with the
relativistic reflection models used to explain the broad iron features.


title: The L_\infty-deformation complex of diagrams of algebras

abstract:
  The deformation complex of an algebra over a colored PROP P is defined in
terms of a minimal (or, more generally, cofibrant) model of P. It is shown that
it carries the structure of an L_\infty-algebra which induces a graded Lie
bracket on cohomology.
  As an example, the L_\infty-algebra structure on the deformation complex of
an associative algebra morphism g, with the underlying cochain complex
isomorphic to the Gerstenhaber-Schack complex of g, is constructed. Another
example is the deformation complex of a Lie algebra morphism. The last example
is the diagram describing two mutually inverse morphisms of vector spaces. Its
L_\infty-deformation complex has a nontrivial constant term.
  Explicit formulas for the L_\infty-operations in the above examples are
given. A typical deformation complex of a diagram of algebras is a
fully-fledged L_\infty-algebra with nontrivial higher operations.


title: Eigenvalue Problem in Two Dimension for An Irregular Boundary

abstract:
  An analytical perturbative method is suggested for solving the Helmholtz
equation (\bigtriangledown^{2} + k^{2}){\psi} = 0 in two dimensions where
{\psi} vanishes on an irregular closed curve. We can thus find the energy
levels of a quantum mechanical particle confined in an infinitely deep
potential well in two dimensions having an irregular boundary or the vibration
frequencies of a membrane whose edge is an irregular closed curve. The method
is tested by calculating the energy levels for an elliptical and a
supercircular boundary and comparing with the results obtained numerically.
Further, the phenomenon of level crossing due to shape variation is also
discussed.


title:
An attempt to explore the production routes of Astatine radionuclides:
  Theoretical approach

abstract:
  In order to fulfil the recent thrust of Astatine radionuclides in the field
of nuclear medicine various production routes have been explored in the present
work. The possible production routes of $^{209-211}$At comprise both light and
heavy ion induced reactions at the bombarding energy range starting from
threshold to maximum 100 MeV energy. For this purpose, we have used the nuclear
reaction model codes TALYS, ALICE91 and PACE-II. Excitation functions of those
radionuclides, produced through various production routes, have been calculated
using nuclear reaction model codes and compared with the available measured
data. Contribution of various reaction mechanisms, like, direct, preequilibrium
and equilibrium reactions, to the total reaction cross section has been studied
using the codes. Result shows that equilibrium reaction mechanism dominates in
all cases over other reaction mechanisms.


title:
Testing the cosmological evolution of magnetic fields in galaxies with
  the SKA

abstract:
  We investigate the cosmological evolution of large- and small-scale magnetic
fields in galaxies at high redshifts. Results from simulations of hierarchical
structure formation cosmology provide a tool to develop an evolutionary model
of regular magnetic fields coupled to galaxy formation and evolution.
Turbulence in protogalactic halos generated by thermal virialization can drive
an efficient turbulent dynamo. The mean-field dynamo theory is used to derive
the timescales of amplification and ordering of regular magnetic fields in disk
and dwarf galaxies. For future observations with the SKA, we predict an
anticorrelation at fixed redshift between galaxy size and the ratio between
ordering scale and galaxy size. Undisturbed dwarf galaxies should host fully
coherent fields at z<1, spiral galaxies at z<0.5.


title: Pions and kaons from stringy quark matter

abstract:
  Different hadron transverse momentum spectra are calculated in a
non-extensive statistical, quark-coalescence model. For the low-pT part a
gluonic string contribution is conjectured, its length distribution and
fractality are fitted to RHIC data.


title:
Separation of Flip and Non-Flip parst of Charge Exchange np->pn at
  energies Tn = 0.5 - 2.0 GeV

abstract:
  The new Delta-Sigma experimental data on the ratio $R_{dp}$ allowed
separating the Flip and Non-Flip parts of the differential cross section of
$np\to pn$ charge exchange process at the zero angle by the Dean formula. The
PSA solutions for the $np\to np$ elastic scattering are transformed to the
$np\to pn$ charge exchange representation using unitary transition, and good
agreement is obtain.


title: Hazard Estimation under Generalized Censoring

abstract:
  This paper focuses on the problem of the estimation of the cumulative hazard
function of a distribution on a general complete separable metric space when
the data points are subject to censoring by an arbitrary adapted random set. A
problem involving observability of the estimator proposed in [8] and [9] is
resolved and a functional central limit theorem is proven for the revised
estimator. Several examples and applications are discussed, and the validity of
bootstrap methods is established in each case.


title: The Korrontea Data Modeling

abstract:
  Needs of multimedia systems evolved due to the evolution of their
architecture which is now distributed into heterogeneous contexts. A critical
issue lies in the fact that they handle, process, and transmit multimedia data.
This data integrates several properties which should be considered since it
holds a considerable part of its semantics, for instance the lips
synchronization in a video. In this paper, we focus on the definition of a
model as a basic abstraction for describing and modeling media in multimedia
systems by taking into account their properties. This model will be used in
software architecture in order to handle data in efficient way. The provided
model is an interesting solution for the integration of media into
applications; we propose to consider and to handle them in a uniform way. This
model is proposed with synchronization policies to ensure synchronous transport
of media. Therefore, we use it in a component model that we develop for the
design and deployment of distributed multimedia systems.


title:
Heterogeneous component interactions: Sensors integration into
  multimedia applications

abstract:
  Resource-constrained embedded and mobile devices are becoming increasingly
common. Since few years, some mobile and ubiquitous devices such as wireless
sensor, able to be aware of their physical environment, appeared. Such devices
enable proposing applications which adapt to user's need according the context
evolution. It implies the collaboration of sensors and software components
which differ on their nature and their communication mechanisms. This paper
proposes a unified component model in order to easily design applications based
on software components and sensors without taking care of their nature. Then it
presents a state of the art of communication problems linked to heterogeneous
components and proposes an interaction mechanism which ensures information
exchanges between wireless sensors and software components.


title: Tree-width of hypergraphs and surface duality

abstract:
  In Graph Minor III, Robertson and Seymour conjecture that the tree-width of a
planar graph and that of its dual differ by at most one. We prove that given a
hypergraph H on a surface of Euler genus k, the tree-width of H^* is at most
the maximum of tw(H) + 1 + k and the maximum size of a hyperedge of H^*.


title:
Analyse et structuration automatique des guides de bonnes pratiques
  cliniques : essai d'\'evaluation

abstract:
  Health Practice Guideliens are supposed to unify practices and propose
recommendations to physicians. This paper describes GemFrame, a system capable
of semi-automatically filling an XML template from free texts in the clinical
domain. The XML template includes semantic information not explicitly encoded
in the text (pairs of conditions and ac-tions/recommendations). Therefore,
there is a need to compute the exact scope of condi-tions over text sequences
expressing the re-quired actions. We present a system developped for this task.
We show that it yields good performance when applied to the analysis of French
practice guidelines. We conclude with a precise evaluation of the tool.


title: Lattice Landau gauge via Stereographic Projection

abstract:
  The complete cancellation of Gribov copies and the Neuberger 0/0 problem of
lattice BRST can be avoided in modified lattice Landau gauge. In compact U(1),
where the problem is a lattice artifact, there remain to be Gribov copies but
their number is exponentially reduced. Moreover, there is no cancellation of
copies there as the sign of the Faddeev-Popov determinant is positive. Applied
to the maximal Abelian subgroup this avoids the perfect cancellation amongst
the remaining Gribov copies for SU(N) also. In addition, based on a definition
of gauge fields on the lattice as stereographically-projected link variables,
it provides a framework for gauge fixed Monte-Carlo simulations. This will
include all Gribov copies in the spirit of BRST. Their average is not zero, as
demonstrated explicitly in simple models. This might resolve present
discrepancies between gauge-fixed lattice and continuum studies of QCD Green's
functions.


title: The Dynamics of the Bounds of Squared Concurrence

abstract:
  We study the dynamics of upper and lower bounds of squared concurrence.Our
results are similar to that of Konard et al. and can help the estimation of
high-dimension bipartite entanglement in experiments.


title: On topological charged braneworld black holes

abstract:
  We study a class of topological black hole solutions in RSII braneworld
scenario in the presence of a localized Maxwell field on the brane. Such a
black hole can carry two types of charge, one arising from the extra dimension,
the tidal charge, and the other one from a localized gauge field confined to
the brane. We find that the localized charge on the brane modifies the bulk
geometry and in particular the bulk Weyl tensor. The bulk geometry does not
depend on different topologies of the horizons. We present the temperature and
entropy expressions associated with the event horizon of the braneworld black
hole and by using the first law of black hole thermodynamics we calculate the
mass of the black hole.


title: Note on cosmology of dimensionally reduced gravitational Chern-Simons

abstract:
  We present cosmological solutions from the dimensionally reduced Chern-Simons
term and obtain the smooth transition solution from the decelerated phase (AdS)
to the accelerated phase (dS).


title: Dark Energy Accretion onto a Black Hole in an Expanding Universe

abstract:
  By using the solution describing a black hole embedded in the FLRW universe,
we obtain the evolving equation of the black hole mass expressed in terms of
the cosmological parameters. The evolving equation indicates that in the
phantom dark energy universe the black hole mass becomes zero before the Big
Rip is reached.


title: The VLA Survey of the Chandra Deep Field South. IV. Source Population

abstract:
  We present a detailed analysis of 256 radio sources from our deep (flux
density limit of 42 microJy at the field centre at 1.4 GHz) Chandra Deep Field
South 1.4 and 5 GHz VLA survey. The radio population is studied by using a
wealth of multi-wavelength information in the radio, optical, and X-ray bands.
The availability of redshifts for ~ 80% of the sources in our complete sample
allows us to derive reliable luminosity estimates for the majority of the
objects. X-ray data, including upper limits, for all our sources turn out to be
a key factor in establishing the nature of faint radio sources. Due to the
faint optical levels probed by this study, we have uncovered a population of
distant Active Galactic Nuclei (AGN) systematically missing from many previous
studies of sub-millijansky radio source identifications. We find that, while
the well-known flattening of the radio number counts below 1 mJy is mostly due
to star forming galaxies, these sources and AGN make up an approximately equal
fraction of the sub-millijansky sky, contrary to some previous results. The AGN
include radio galaxies, mostly of the low-power, Fanaroff-Riley I type, and a
significant radio-quiet component, which amounts to approximately one fifth of
the total sample. The ratio of radio to optical luminosity depends more on
radio luminosity, rather than being due to optical absorption.


title: Multi-gluon one-loop amplitudes numerically

abstract:
  A c++ implementation of the D_s-dimensional unitarity cut algorithm for the
numerical evaluation of the virtual contribution to NLO QCD amplitudes is
presented. The current version includes an arbitrary number of external gluons
with gluonic propagators in the loop. The building blocks are tree level
color-ordered amplitudes with gluons and with gluons and two scalars in five
dimensions. Numerical stability issues are addressed and agreement has been
reached with the results published in the literature.


title:
Density functional approach to finite temperature nuclear properties and
  the role of a momentum dependent isovector interaction

abstract:
  Using a density functional approach based on a Skyrme interaction,
thermodynamic properties of finite nuclei are investigated at non-zero
temperture. The role of a momentum dependent isovector term is now studied
besides volume, symmetry, surface and Coulomb effects. Various features
associated with both mechanical and chemical instability and the liquid-gas
coexistence curve are sensitive to the Skyrme interaction. The separated
effects of the isoscalar term and the isovector term of momentum dependent
interaction are studied for a modified SKM($m^*=m$) interaction. The frequently
used Skyrme interaction SLy4 is one of the cases considered and is shown to
have better features for neutron star studies due to a larger symmetry energy.


title: Recent Developments in Nonregular Fractional Factorial Designs

abstract:
  Nonregular fractional factorial designs such as Plackett-Burman designs and
other orthogonal arrays are widely used in various screening experiments for
their run size economy and flexibility. The traditional analysis focuses on
main effects only. Hamada and Wu (1992) went beyond the traditional approach
and proposed an analysis strategy to demonstrate that some interactions could
be entertained and estimated beyond a few significant main effects. Their
groundbreaking work stimulated much of the recent developments in design
criterion creation, construction and analysis of nonregular designs. This paper
reviews important developments in optimality criteria and comparison, including
projection properties, generalized resolution, various generalized minimum
aberration criteria, optimality results, construction methods and analysis
strategies for nonregular designs.


title: Are random pure states useful for quantum computation?

abstract:
  We show the following: a randomly chosen pure state as a resource for
measurement-based quantum computation, is - with overwhelming probability - of
no greater help to a polynomially bounded classical control computer, than a
string of random bits. Thus, unlike the familiar "cluster states", the
computing power of a classical control device is not increased from P to BQP,
but only to BPP. The same holds if the task is to sample from a distribution
rather than to perform a bounded-error computation. Furthermore, we show that
our results can be extended to states with significantly less entanglement than
random states.


title: Transformations of locally conformally K\"ahler manifolds

abstract:
  We consider several transformation groups of a locally conformally K\"ahler
manifold and discuss their inter-relations. Among other results, we prove that
all conformal vector fields on a compact Vaisman manifold which is neither
locally conformally hyperk\"ahler nor a diagonal Hopf manifold are Killing,
holomorphic and that all affine vector fields with respect to the minimal Weyl
connection of a locally conformally K\"ahler manifold which is neither
Weyl-reducible nor locally conformally hyperk\"ahler are holomorphic and
conformal


title:
Uniform curves for van der Waals interaction between single-wall carbon
  nanotubes

abstract:
  We report very simple and accurate algebraic expressions for the van der
Waals (vdW) potentials and the forces between two parallel and crossed carbon
nanotubes. The Lennard-Jones potential for two carbon atoms and the method of
the smeared out approximation suggested by L.A. Girifalco were used. It is
found that interaction between parallel and crossed tubes are described by
different uniform curves which depend only on dimensionless distance. The
explicit functions for equilibrium vdW distances, well depths, and maximal
attractive forces have been given. These results may be used as a guide for
analysis of experimental data to investigate interaction between nanotubes of
various natures.


title:
The Study of Relatively Low Density Stellar Matter in Presence of Strong
  Quantizing Magnetic Field

abstract:
  The effect of strong quantizing magnetic field on the equation of state of
matter at the outer crust region of magnetars is studied. The density of such
matter is low enough compared to the matter density at the inner crust or outer
core region. Based on the relativistic version of semi-classical
Thomas-Fermi-Dirac model in presence of strong quantizing magnetic field a
formalism is developed to investigate this specific problem. The equation of
state of such low density crustal matter is obtained by replacing the
compressed atoms/ions by Wigner-Seitz cells with nonuniform electron density.
The results are compared with other possible scenarios. The appearance of
Thomas-Fermi induced electric charge within each Wigner-Seitz cell is also
discussed.


title:
Trap modulation spectroscopy of the Mott-insulator transition in optical
  lattices

abstract:
  We introduce a new technique to probe the properties of an interacting cold
atomic gas that can be viewed as a dynamical compressibility measurement. We
apply this technique to the study of the superfluid to Mott insulator quantum
phase transition in one and three dimensions for a bosonic gas trapped in an
optical lattice. Excitations of the system are detected by time-of-flight
measurements. The experimental data for the one-dimensional case are in good
agreement with the results of a time-dependent density matrix renormalization
group calculation.


title:
Hawking radiation as tunneling and the unified first law of
  thermodynamics at the apparent horizon in the FRW universe

abstract:
  Relations between the tunneling rate and the unified first law of
thermodynamics at the apparent horizon of the FRW universe are investigated.
The tunneling rate arises as a consequence of the unified first law of
thermodynamics in such a dynamical system. The analysis shows obviously how the
tunneling is intimately connected with the unified first law of thermodynamics
through the principle of conservation of energy.


title:
Asymptotics for the size of the largest component scaled to "log n" in
  inhomogeneous random graphs

abstract:
  We study the inhomogeneous random graphs in the subcritical case. We derive
an exact formula for the size of the largest connected component scaled to
$\log n$ where $n$ is the size of the graph. This generalizes the recent result
for the "rank 1 case". Here we discover that the same well-known equation for
the survival probability, whose positive solution determines the asymptotics of
the size of the largest component in the supercritical case, plays the crucial
role in the subcritical case as well. But now these are the negative solutions
which come into play.


title:
Selective Optical Charge Generation, Storage and Readout in a Single
  Self Assembled Quantum Dot

abstract:
  We report the investigation of a single quantum dot charge storage device.
The device allows selective optical charging of a single dot with electrons,
storage of these charges over timescales much longer than microseconds and
reliable optical readout of the charge occupancy using a time gated
photoluminescence technique. This device enables us to directly investigate the
electric field dependent tunneling escape dynamics of electrons at high
electric fields over timescales up to 4 us. The results demonstrate that such
structures and measurement techniques can be used to investigate charge and
spin dynamics in single quantum dots over microsecond timescales.


title: Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems

abstract:
  This paper deals with the Klein-Gordon-Maxwell system in a bounded spatial
domain. We study the existence of solutions having a specific form, namely
standing waves in equilibrium with a purely electrostatic field. We prescribe
Dirichlet boundary conditions on the matter field, and either Dirichlet or
Neumann boundary conditions on the electric potential.


title: Higher Curvature Brane Corrections to the DGP Model

abstract:
  We investigate the Dvali-Gabadadze-Porrati (DGP) model corrected by higher
curvature brane terms. We show that these corrections have a dramatic impact on
the spectrum of the model at the linearized level. Owing to the presence of
higher derivatives in the field equations very massive ghost excitations with
mass of order of Planck mass are generated in the ordinary branch of the model.
These excitations describe an instability of Minkowski vacuum with time-scale
of order of the Hubble time. At large distances these tachyonic excitations are
expected to decouple from brane-localized matter. Our modified DGP model
represents therefore a very promising framework for solving of the cosmological
constant problem, in which Planck-scale physics is responsible for the
elementary excitations driving the accelerated expansion of the universe, but
the time-scale of the instability is settled by gravitational physics at large
scales.


title: Model validation of simple-graph representations of metabolism

abstract:
  The large-scale properties of chemical reaction systems, such as the
metabolism, can be studied with graph-based methods. To do this, one needs to
reduce the information -- lists of chemical reactions -- available in
databases. Even for the simplest type of graph representation, this reduction
can be done in several ways. We investigate different simple network
representations by testing how well they encode information about one
biologically important network structure -- network modularity (the propensity
for edges to be cluster into dense groups that are sparsely connected between
each other). To reach this goal, we design a model of reaction-systems where
network modularity can be controlled and measure how well the reduction to
simple graphs capture the modular structure of the model reaction system. We
find that the network types that best capture the modular structure of the
reaction system are substrate-product networks (where substrates are linked to
products of a reaction) and substance networks (with edges between all
substances participating in a reaction). Furthermore, we argue that the
proposed model for reaction systems with tunable clustering is a general
framework for studies of how reaction-systems are affected by modularity. To
this end, we investigate statistical properties of the model and find, among
other things, that it recreate correlations between degree and mass of the
molecules.


title: Matryoshka of Special Democratic Forms

abstract:
  Special p-forms are forms which have components \phi_{\mu_1...\mu_p} equal to
+1,-1 or 0 in some orthonormal basis. A p-form \phi\in \Lambda^p R^d is called
democratic if the set of nonzero components {\phi_{\mu_1...\mu_p}} is symmetric
under the transitive action of a subgroup of O(d,Z) on the indices {1,...,d}.
Knowledge of these symmetry groups allows us to define mappings of special
democratic p-forms in d dimensions to special democratic P-forms in D
dimensions for successively higher P \geq p and D \geq d. In particular, we
display a remarkable nested stucture of special forms including a
U(3)-invariant 2-form in six dimensions, a G_2-invariant 3-form in seven
dimensions, a Spin(7)-invariant 4-form in eight dimensions and a special
democratic 6-form \Omega in ten dimensions. The latter has the remarkable
property that its contraction with one of five distinct bivectors, yields, in
the orthogonal eight dimensions, the Spin(7)-invariant 4-form. We discuss
various properties of this ten dimensional form.


title: Wigner function for twisted photons

abstract:
  A comprehensive theory of the Weyl-Wigner formalism for the canonical pair
angle-angular momentum is presented, with special emphasis in the implications
of rotational periodicity and angular-momentum discreteness.


title:
On the classification of degree 1 elliptic threefolds with constant
  $j$-invariant

abstract:
  We describe the possible Mordell-Weil groups for degree 1 elliptic threefold
with rational base and constant $j$-invariant. Moreover, we classify all such
elliptic threefolds if the $j$-invariant is nonzero. We can use this
classification to describe a class of singular hypersurfaces in
$\Ps(2,3,1,1,1)$ that admit no variation of Hodge structure.


title: Experimental test of nonclassicality criteria

abstract:
  We experimentally examine the nonclassical character of a class of
non-Gaussian states known as phase-diffused squeezed states. These states may
show no squeezing effect at all, and therefore provide an interesting example
to test nonclassicality criteria. The characteristic function of the
Glauber-Sudarshan representation (P function) proves to be a powerful tool to
detect nonclassicality. Using this criterion we find that phase-diffused
squeezed states are always nonclassical, even if the squeezing effect vanishes.
Testing other criteria of nonclassicality based on higher-order squeezing and
the positive semidefinitness of special matrices of normally ordered moments,
it is found that these criteria fail to reveal the nonclassicality for some of
the prepared phase-diffused squeezed states.


title: Metrics Of Quantum States

abstract:
  In this paper, we study metrics of quantum states. These metrics are natural
generalization of trace metric and Bures metric. We will prove that the metrics
are joint convex and contractive under quantum operation. Our results can find
important application in studying the geometry of quantum states and is useful
to detect entanglement.


title:
Profiles of emission lines generated by rings orbiting braneworld Kerr
  black holes

abstract:
  In the framework of the braneworld models, rotating black holes can be
described by the Kerr metric with a tidal charge representing the influence of
the non-local gravitational (tidal) effects of the bulk space Weyl tensor onto
the black hole spacetime. We study the influence of the tidal charge onto
profiled spectral lines generated by radiating tori orbiting in vicinity of a
rotating black hole. We show that with lowering the negative tidal charge of
the black hole, the profiled line becomes to be flatter and wider keeping their
standard character with flux stronger at the blue edge of the profiled line.
The extension of the line grows with radius falling and inclination angle
growing. With growing inclination angle a small hump appears in the profiled
lines due to the strong lensing effect of photons coming from regions behind
the black hole. For positive tidal charge ($b>0$) and high inclination angles
two small humps appear in the profiled lines close to the red and blue edge of
the lines due to the strong lensing effect. We can conclude that for all values
of $b$, the strongest effect on the profiled lines shape (extension) is caused
by the changes of the inclination angle.


title: Magneto--thermal evolution of neutron stars

abstract:
  We study the mutual influence of thermal and magnetic evolution in a neutron
star's crust in axial symmetry. Taking into account realistic microphysical
inputs, we find the heat released by Joule effect consistent with the
circulation of currents in the crust, and we incorporate its effects in 2D
cooling calculations. We solve the induction equation numerically using a
hybrid method (spectral in angles, but a finite--differences scheme in the
radial direction), coupled to the thermal diffusion equation. We present the
first long term 2D simulations of the coupled magneto-thermal evolution of
neutron stars. This substantially improves previous works in which a very crude
approximation in at least one of the parts (thermal or magnetic diffusion) has
been adopted. Our results show that the feedback between Joule heating and
magnetic diffusion is strong, resulting in a faster dissipation of the stronger
fields during the first million years of a NS's life. As a consequence, all
neutron stars born with fields larger than a critical value (about 5 10^13 G)
reach similar field strengths (approximately 2-3 10^{13} G) at late times.
Irrespectively of the initial magnetic field strength, after $10^6$ years the
temperature becomes so low that the magnetic diffusion timescale becomes longer
than the typical ages of radio--pulsars, thus resulting in apparently no
dissipation of the field in old NS. We also confirm the strong correlation
between the magnetic field and the surface temperature of relatively young NSs
discussed in preliminary works. The effective temperature of models with strong
internal toroidal components are systematically higher than those of models
with purely poloidal fields, due to the additional energy reservoir stored in
the toroidal field that is gradually released as the field dissipates.


title: R&D efforts towards a neutrino factory

abstract:
  The R&D efforts towards a neutrino factory are outlined with special emphasis
on the muon cooling issue and the data collected for target optimization.


title: Dwarf Galaxy Clustering and Missing Satellites

abstract:
  At redshifts around 0.1 the CFHT Legacy Survey Deep fields contain some
6x10^4 galaxies spanning the mass range from 10^5 to 10^12 Msun. We measure the
stellar mass dependence of the two point correlation using angular measurements
to largely bypass the errors, approximately 0.02 in the median, of the
photometric redshifts. Inverting the power-law fits with Limber's equation we
find that the auto-correlation length increases from a very low 0.4hMpc at
10^5.5 Msun to the conventional 4.5hMpc at 10^10.5 Msun. The power law fit to
the correlation function has a slope which increases from gamma approximately
1.6 at high mass to gamma approximately 2.3 at low mass. The spatial
cross-correlation of dwarf galaxies with more massive galaxies shows fairly
similar trends, with a steeper radial dependence at low mass than predicted in
numerical simulations of sub-halos within galaxy halos. To examine the issue of
missing satellites we combine the cross-correlation measurements with our
estimates of the low mass galaxy number density. We find on the average there
are 60+/-20 dwarfs in sub-halos with M(total) > 10^7 Msun for a typical Local
Group M(total)/M(stars)=30, corresponding to M/L_V approximately 100 for a
galaxy with no recent star formation. The number of dwarfs per galaxy is about
a factor of two larger than currently found for the Milky Way. Nevertheless,
the average dwarf counts are about a factor of 30 below LCDM simulation
results. The divergence from LCDM predictions is one of slope of the relation,
approximately dN/dlnM approximately -0.5 rather than the predicted -0.9, not
sudden onset at some characteristic scale. The dwarf galaxy star formation
rates span the range from passive to bursting, which suggests that there are
few completely dark halos.


abstract:
  Galilei-invariant equations for massive fields with various spins have been
found and classified. They have been derived directly, i.e., by using
requirement of the Galilei invariance and various facts on representations of
the Galilei group deduced in the paper written by de Montigny M, Niederle J and
Nikitin A G, J. Phys. A \textbf{39}, 1-21, 2006. A completed list of
non-equivalent Galilei-invariant wave equations for vector and scalar fields is
presented. It shows two things. First that the collection of such equations is
very broad and describes many physically consistent systems. In particular it
is possible to describe spin-orbit and Darwin couplings in frames of
Galilei-invariant approach. Second, these Galilei-invariant equations can be
obtained either via contraction of known relativistic equations or via
contractions of quite new relativistic wave equations.


title:
The second and third Sonine coefficients of a freely cooling granular
  gas revisited

abstract:
  In its simplest statistical-mechanical description, a granular fluid can be
modeled as composed of smooth inelastic hard spheres (with a constant
coefficient of normal restitution $\alpha$) whose velocity distribution
function obeys the Enskog-Boltzmann equation. The basic state of a granular
fluid is the homogeneous cooling state, characterized by a homogeneous,
isotropic, and stationary distribution of scaled velocities, $F(\mathbf{c})$.
The behavior of $F(\mathbf{c})$ in the domain of thermal velocities ($c\sim 1$)
can be characterized by the two first non-trivial coefficients ($a_2$ and
$a_3$) of an expansion in Sonine polynomials. The main goals of this paper are
to review some of the previous efforts made to estimate (and measure in
computer simulations) the $\alpha$-dependence of $a_2$ and $a_3$, to report new
computer simulations results of $a_2$ and $a_3$ for two-dimensional systems,
and to investigate the possibility of proposing theoretical estimates of $a_2$
and $a_3$ with an optimal compromise between simplicity and accuracy.


title: On the oscillations of dissipative superfluid neutron stars

abstract:
  We investigate the oscillations of slowly rotating superfluid stars, taking
into account the vortex mediated mutual friction force that is expected to be
the main damping mechanism in mature neutron star cores. Working to linear
order in the rotation of the star, we consider both the fundamental f-modes and
the inertial r-modes. In the case of the (polar) f-modes, we work out an
analytic approximation of the mode which allows us to write down a closed
expression for the mutual friction damping timescale. The analytic result is in
good agreement with previous numerical results obtained using an energy
integral argument. We extend previous work by considering the full range of
permissible values for the vortex drag, e.g. the friction between each
individual vortex and the electron fluid. This leads to the first ever results
for the f-mode in the strong drag regime. Our estimates provide useful insight
into the dependence on, and relevance of, various equation of state parameters.
In the case of the (axial) r-modes, we confirm the existence of two classes of
modes. However, we demonstrate that only one of these sets remains purely axial
in more realistic neutron star models. Our analysis lays the foundation for
companion studies of the mutual friction damping of the r-modes at second order
in the slow-rotation approximation, the first time evolutions for superfluid
neutron star perturbations and also the first detailed attempt at studying the
dynamics of superfluid neutron stars with both a relative rotation between the
components and mutual friction.


title:
Magnetic structure of RuSr$_2$GdCu$_2$O$_8$ determined by resonant x-ray
  diffraction

abstract:
  X-ray diffraction with photon energies near the Ru L$_2$-absorption edge was
used to detect resonant reflections characteristic of a G-type superstructure
in RuSr$_2$GdCu$_2$O$_8$ single crystals. A polarization analysis confirms that
these reflections are due to magnetic order of Ru moments, and the
azimuthal-angle dependence of the scattering amplitude reveals that the moments
lie along a low-symmetry axis with substantial components parallel and
perpendicular to the RuO$_2$ layers. Complemented by susceptibility data and a
symmetry analysis of the magnetic structure, these results reconcile many of
the apparently contradictory findings reported in the literature.


title: The number of Hecke eigenvalues of same signs

abstract:
  We give the best possible lower bounds in order of magnitude for the number
of positive and negative Hecke eigenvalues. This improves upon a recent work of
Kohnen, Lau & Shparlinski. Also, we study an analogous problem for short
intervals.


title: Color coherence in multi-jet final states

abstract:
  We discuss coherent QCD radiation from space-like parton branching and its
effects on multi-jet final states at high-energy hadron colliders.
  Coherence effects for small longitudinal momentum fractions x are not
included in the branching algorithms of standard shower Monte Carlo event
generators. On the other hand, they are taken into account only partially in
perturbative next-to-leading-order calculations for multi-jets. Such effects
are present to all orders in alpha_s and can become logarithmically enhanced
with \sqrt{s} / E_T, where E_T is the hardest jet transverse energy. We present
results of summing coherence effects to all orders by parton-branching Monte
Carlo methods based on transverse-momentum dependent matrix elements.


title: Mathematical model for resistance and optimal strategy

abstract:
  We propose a mathematical model for one pattern of charts studied in
technical analysis: in a phase of consolidation, the price of a risky asset
goes down $\xi$ times after hitting a resistance level. We construct a
mathematical strategy and we calculate the expectation of the wealth for the
logaritmic utility function. Via simulations, we compare the strategy with the
standard one.


title: Intermediate-Mass Black Holes as LISA Sources

abstract:
  Intermediate-mass black holes (IMBHs), with masses of hundreds to thousands
of solar masses, will be unique sources of gravitational waves for LISA. Here
we discuss their context as well as specific characteristics of IMBH-IMBH and
IMBH-supermassive black hole mergers and how these would allow sensitive tests
of the predictions of general relativity in strong gravity.


title:
Rotational Fluxons of Bose-Einstein Condensates in Coplanar Double-Ring
  Traps

abstract:
  Rotational analogs to magnetic fluxons in conventional Josephson junctions
are predicted to emerge in the ground state of rotating tunnel-coupled annular
Bose-Einstein condensates (BECs). Such topological condensate-phase structures
can be manipulated by external potentials. We determine conditions for
observing macroscopic quantum tunneling of a fluxon. Rotational fluxons in
double-ring BECs can be created, manipulated, and controlled by external
potential in different ways than possible in the solid state system, thus
rendering them a promising new candidate system for studying and utilizing
quantum properties of collective many-particle degrees of freedom.


title: Analysis of community structure in networks of correlated data

abstract:
  We present a reformulation of modularity that allows the analysis of the
community structure in networks of correlated data. The new modularity
preserves the probabilistic semantics of the original definition even when the
network is directed, weighted, signed, and has self-loops. This is the most
general condition one can find in the study of any network, in particular those
defined from correlated data. We apply our results to a real network of
correlated data between stores in the city of Lyon (France).


title:
Supernova neutrino three-flavor evolution with dominant collective
  effects

abstract:
  Neutrino and antineutrino fluxes from a core-collapse galactic supernova are
studied, within a representative three-flavor scenario with inverted mass
hierarchy and tiny 1-3 mixing. The initial flavor evolution is dominated by
collective self-interaction effects, which are computed in a full three-family
framework along an averaged radial trajectory. During the whole time span
considered (t=1-20 s), neutrino and antineutrino spectral splits emerge as
dominant features in the energy domain for the final, observable fluxes. Some
minor or unobservable three-family features (e.g., related to the
muonic-tauonic flavor sector) are also discussed for completeness. The main
results can be useful for SN event rate simulations in specific detectors.


title:
Phase resolved spectroscopy of the accreting millisecond X-ray pulsar
  SAX J1808.4-3658 during the 2008 outburst

abstract:
  aims: We obtained phase-resolved spectroscopy of the accreting millisecond
X-ray pulsar SAX J1808.4-3658 during its outburst in 2008 to find a signature
of the donor star, constrain its radial velocity semi-amplitude (K_2), and
derive estimates on the pulsar mass. methods: Using Doppler images of the Bowen
region we find a significant (>8sigma) compact spot at a position where the
donor star is expected. If this is a signature of the donor star, we measure
K_em=248+/-20 km/s (1sigma confidence) which represents a strict lower limit to
K_2. Also, the Doppler map of He II lambda4686 shows the characteristic
signature of the accretion disk, and there is a hint of enhanced emission that
may be a result of tidal distortions in the accretion disk that are expected in
very low mass ratio interacting binaries. results: The lower-limit on K_2 leads
to a lower-limit on the mass function of f(M_1)>0.10M_sun. Applying the maximum
K-correction gives 228<K_2<322 km/s and a mass ratio of 0.051<q<0.072.
conclusions: Despite the limited S/N of the data we were able to detect a
signature of the donor star in SAX J1808.4-3658, although future observations
during a new outburst are still warranted to confirm this. If the derived K_em
is correct, the largest uncertainty in the determination of the mass of the
neutron star in SAX J1808.4-3658 using dynamical studies lies with the poorly
known inclination.


title: Surface Enhanced van der Waals force

abstract:
  We consider the van der Waals interaction of an excited atom and a ground
state atom across a vacuum-medium interface under the circumstances of the
resonant coupling of the excited atom to a surface polariton mode of the
system. We demonstrate that the nonretarded interaction potential between the
atoms is in this case the same as in an effective medium described by the
average dielectric function of the media in contact except for the different
local-field correction factor. The estimate performed for the vacuum-sapphire
interface shows that the nonretarded van der Waals (atom*-atom) force can be at
the surface mode resonance enhanced by almost three orders of magnitude in
comparison with its free-space value. Owing to the local-field effect in the
present configuration this enhancement factor is larger then previously
estimated for atoms in front of the same medium by (almost) an order of
magnitude.


title: Quantum transients

abstract:
  Quantum transients are temporary features of matter waves before they reach a
stationary regime. Transients may arise after the preparation of an unstable
initial state or due to a sudden interaction or a change in the boundary
conditions. Examples are diffraction in time, buildup processes, decay,
trapping, forerunners or pulse formation, as well as other phenomena recently
discovered, such as the simultaneous arrival of a wave peak at arbitrarily
distant observers. The interest on these transients is nowadays enhanced by new
technological possibilities to control, manipulate and measure matter waves.


title: The Theory of Fermi Condensate Quantum Phase Transition

abstract:
  This report is devoted to the building of the theory and analyzing the
phenomenon which take place in such strong correlated Fermi systems as High
temperature superconductors, metals with heavy fermions and quasi two
dimensional Fermi-systems. The described theory of strong correlated Fermi
systems bases on conceptions of Fermi condensate quantum phase transition
(FCQPT) and Fermi condensate. It develops the well known Landau paradigm based
on quasi particles formalism and order parameter. The description of the FCQPT
theory is followed by its verification on the different exactly solvable
models, by numerical calculations and by comparing with wide collection of
experimental data.


title: A uniqueness theorem for stationary Kaluza-Klein black holes

abstract:
  We prove a uniqueness theorem for stationary $D$-dimensional Kaluza-Klein
black holes with $D-2$ Killing fields, generating the symmetry group ${\mathbb
R} \times U(1)^{D-3}$. It is shown that the topology and metric of such black
holes is uniquely determined by the angular momenta and certain other
invariants consisting of a number of real moduli, as well as integer vectors
subject to certain constraints.


title:
MAGIC Observations of PG 1553+113 during a Multiwavelength Campaign in
  July 2006

abstract:
  The active galactic nucleus PG 1553+113 was observed by the MAGIC telescope
in July 2006 during a multiwavelength campaign, in which telescopes in the
optical, X-ray, and very high energies participated. Although the MAGIC data
were affected by strong atmospheric absorption (calima), they were analyzed
after applying a correction. In 8.5 hours, a signal was detected with a
significance of 5.0 sigma. The integral flux above 150 GeV was (2.6 +/-
0.9)*10^{-7} ph/s/m^2. By fitting the differential energy spectrum with a power
law, a spectral index of -4.1 +/- 0.3 was obtained.


title:
Strong Gaussian approximations of product-limit and Quantile Processes
  for Strong mixing and censored data

abstract:
  In this paper, we consider the product-limit quantile estimator of an unknown
quantile function under a censored dependent model. This is a parallel problem
to the estimation of the unknown distribution function by the product-limit
estimator under the same model. Simultaneous strong Gaussian approximations of
the product-limit process and product-limit quantile process are constructed
with rate $O((\log n)^{-\lambda})$ for some $\lambda>0,$. The strong Gaussian
approximation of the product-limit process is then applied to derive the laws
of the iterated logarithm for product-limit process.


title:
Hump Structure below Tc in the thermal conductivity of MgB2
  superconductor

abstract:
  A reasonable cause of absence of hump structure in thermal conductivity of
MgB2 below the superconducting transition temperature (Tc) lies in the
appearance of multigap structure. The gaps of lower magnitude can be suppressed
by defects so that this system becomes effectively a single gap superconductor.
When such a situation is created, it is hoped that thermal conductivity will
show hump below Tc. Proceeding along these lines, a sample of MgB2 with a
relatively higher residual resistivity (33.3 mili-Ohm-cm)has been found to show
a hump structure below Tc. The actual electronic thermal conductivity kel of
this sample is less than that expected from the Wiedeman- Franz law by more
than a factor of 2.6 in the considered temperature range. Modifying the
Wiedeman- Franz law for the electronic contribution by replacing the Lorenz
number by an effective Lorenz number Leff (L0) we have obtained two sets of
kel, namely those with Leff = 0.1L0 and 0.2L0. Corresponding to these two sets
of kel, two sets of the phonon thermal conductivity kph are obtained. kph has
been analyzed in terms of an extended Bardeen- Rickayzen- Tewordt theory. The
main result of this analysis is that the hump structure corresponds to a gap
ratio of 3.5, and that large electron-point defect scattering is the main
source of drastic reduction of the electronic thermal conductivity from that
given by the usual Wiedeman- Franz law.


title:
Properties of the ionized gas in HH202. I: Results from integral field
  spectroscopy with PMAS

abstract:
  We present results from integral field spectroscopy with the Potsdam
multi-Aperture Spectrograph of the head of the Herbig-Haro object HH 202 with a
spatial sampling of 1"x1". We have obtained maps of different emission lines,
physical conditions --such as electron temperature and density-- and ionic
abundances from recombination and collisionally excited lines. We present the
first map of the Balmer temperature and of the temperature fluctuation
parameter, t^2. We have calculated the t^2 in the plane of the sky, which is
substantially smaller than that determined along the line of sight. We have
mapped the abundance discrepancy factor of O^{2+}, ADF(O^{2+}), finding its
maximum value at the HH 202-S position. We have explored the relations between
the ADF(O^{2+}) and the electron density, the Balmer and [O III] temperatures,
the ionization degree as well as the t^2 parameter. We do not find clear
correlations between these properties and the results seem to support that the
ADF and t^2 are independent phenomena. We have found a weak negative
correlation between the O^{2+} abundance determined from recombination lines
and the temperature, which is the expected behaviour in an ionized nebula,
hence it seems that there is not evidence for the presence of super-metal rich
droplets in H II regions.


title: D0 - D0bar Mixing: An Overview

abstract:
  Recently, the B factory experiments BABAR and Belle as well as the CDF
collaboration found evidence for mixing in the D meson system. The current
status (beginning of summer 2008) of the experimental results of D mixing is
summarized.


title: One-dimensional sigma-models with N=5,6,7,8 off-shell supersymmetries

abstract:
  We computed the actions for the 1D N=5 sigma-models with respect to the two
inequivalent (2,8,6) multiplets. 4 supersymmetry generators are manifest, while
the constraint originated by imposing the 5-th supersymmetry automatically
induces a full N=8 off-shell invariance. The resulting action coincides in the
two cases and corresponds to a conformally flat 2D target satisfying a special
geometry of rigid type. To obtain these results we developed a computational
method (for Maple 11) which does not require the notion of superfields and is
instead based on the nowadays available list of the inequivalent
representations of the 1D N-extended supersymmetry. Its application to
systematically analyze the sigma-models off-shell invariant actions for the
remaining N=5,6,7,8 (k,8,8-k) multiplets, as well as for the N>8
representations,only requires more cumbersome computations.


title: Axions and the white dwarf luminosity function

abstract:
  The evolution of white dwarfs can be described as a simple cooling process.
Recently, it has been possible to determine with an unprecedented precision
their luminosity function, that is, the number of stars per unit volume and
luminosity interval. Since the shape of the bright branch of this function is
only sensitive to the average cooling rate, we use this property to check the
possible existence of axions, a proposed but not yet detected weakly
interacting particle. We show here that the inclusion of the axion emissivity
in the evolutionary models of white dwarfs noticeably improves the agreement
between the theoretical calculations and the observational white dwarf
luminosity function, thus providing the first positive indication that axions
could exist. Our results indicate that the best fit is obtained for m_a
cos^2beta ~ 2-6 meV, where m_a is the mass of the axion and cos^2beta is a free
parameter, and that values larger than 10 meV are clearly excluded.


title:
Exploration of finite dimensional Kac algebras and lattices of
  intermediate subfactors of irreducible inclusions

abstract:
  We study the four infinite families KA(n), KB(n), KD(n), KQ(n) of finite
dimensional Hopf (in fact Kac) algebras constructed respectively by A. Masuoka
and L. Vainerman: isomorphisms, automorphism groups, self-duality, lattices of
coideal subalgebras. We reduce the study to KD(n) by proving that the others
are isomorphic to KD(n), its dual, or an index 2 subalgebra of KD(2n). We
derive many examples of lattices of intermediate subfactors of the inclusions
of depth 2 associated to those Kac algebras, as well as the corresponding
principal graphs, which is the original motivation.
  Along the way, we extend some general results on the Galois correspondence
for depth 2 inclusions, and develop some tools and algorithms for the study of
twisted group algebras and their lattices of coideal subalgebras. This research
was driven by heavy computer exploration, whose tools and methodology we
further describe.


title: Quasiparticles in the Pseudogap Phase of Underdoped Cuprate

abstract:
  Recent angle resolved photoemission \cite{yang-nature-08} and scanning
tunneling microscopy \cite{kohsaka-nature-08} measurements on underdoped
cuprates have yielded new spectroscopic information on quasiparticles in the
pseudogap phase. New features of the normal state such as particle-hole
asymmetry, maxima in the energy dispersion and accompanying drops in the
spectral weight of quasiparticles agree with the ansatz of Yang \textit{et al.}
for the single particle propagator in the pseudogap phase. The coherent
quasiparticle dispersion and reduced asymmetry in the tunneling density of
states in the superconducting state can also be described by this propagator.


title: Towards finite generation of the canonical ring without the MMP

abstract:
  This paper is the first of two steps in a project to prove finite generation
of the log canonical ring without Mori theory.


title: Some Remarks on Effective Range Formula in Potential Scattering

abstract:
  In this paper, we present different proofs of very recent results on the
necessary as well as sufficient conditions on the decrease of the potential at
infinity for the validity of effective range formulas in 3-D in low energy
potential scattering (Andr\'e Martin, private communication, to appear. See
Theorem 1 below). Our proofs are based on compact formulas for the
phase-shifts. The sufficiency conditions are well-known since long. But the
necessity of the same conditions for potentials keeping a constant sign at
large distances are new. All these conditions are established here for
dimension 3 and for all angular momenta $\ell \geq 0$.


title: Cosmological density perturbations in modified gravity theories

abstract:
  In the context of f(R) theories of gravity, we study the cosmological
evolution of scalar perturbations by using a completely general procedure. We
find that the exact fourth-order differential equation for the matter density
perturbations in the longitudinal gauge, reduces to a second-order equation for
sub-Hubble modes. This simplification is compared with the standard
(quasi-static) equation used in the literature. We show that for general f(R)
functions the quasi-static approximation is not justified. However for those
f(R) adequately describing the present phase of accelerated expansion and
satisfying local gravity tests, it does give a correct description for the
evolution of perturbations.


title: Faint recombination lines in Galactic PNe with [WC] nucleus

abstract:
  We present spatially resolved high-resolution spectrophotometric data for the
planetary nebulae PB8, NGC2867, and PB6. We have analyzed two knots in NGC2867
and PB6 and one in PB8. The three nebulae are ionized by [WC] type nuclei:
early [WO] for PB6 and NGC2867 and [WC 5-6] in the case of PB8. Our aim is to
study the behavior of the abundance discrepancy problem (ADF) in this type of
PNe. We measured a large number of optical recombination (ORL) and
collisionally excited lines (CEL), from different ionization stages (many more
than in any previous work), thus, we were able to derive physical conditions
from many different diagnostic procedures. We determined ionic abundances from
the available collisionally excited lines and recombination lines. Based on
both sets of ionic abundances, we derived total chemical abundances in the
nebulae using suitable ionization correction factors. From CELs, we have found
abundances typical of Galactic disk planetary nebulae. Moderate ADF(O++) were
found for PB8 (2.57) and NGC2867 (1.63). For NGC2867, abundances from ORLs are
higher but still consistent with Galactic disk planetary nebulae. On the
contrary, PB8 presents a very high O/H ratio from ORLs. A high C/O was obtained
from ORLs for NGC2867; this ratio is similar to C/O obtained from CELs and with
the chemical composition of the wind of the central star, indicating that there
was no further C-enrichment in the star, relative to O, after the nebular
material ejection. On the contrary, we found C/O<1 in PB8. Interestingly, we
obtain (C/O)ORLs/(C/O)CELs < 1 in PB8 and NGC2867; this added to the similarity
between the heliocentric velocities measured in [OIII] and OII lines for our
three objects, argue against the presence of H-deficient metal-rich knots
coming from a late thermal pulse event.


title: On the flexibility of Kokotsakis meshes

abstract:
  In this paper we study geometric, algebraic, and computational aspects of
flexibility and infinitesimal flexibility of Kokotsakis meshes. A Kokotsakis
mesh is a mesh that consists of a face in the middle and a certain band of
faces attached to the middle face by its perimeter. In particular any 3x3-mesh
made of quadrangles is a Kokotsakis mesh. We express the infinitesimal
flexibility condition in terms of Ceva and Menelaus theorems. Further we study
semi-algebraic properties of the set of flexible meshes and give equations
describing it. For 3x3-meshes we obtain flexibility conditions in terms of face
angles.


title: Towards a dynamical theory of observation

abstract:
  We introduce a model of classical and quantum observation based on
contextuality and dynamically evolving apparatus. Power sets of classical bits
model the four classical states of elementary detectors, viz. the two normal
yes/no signal states, the faulty or decommissioned state and the non-existence
state. Operators over power set registers are used to describe various physical
scenarios such as the construction and decommissioning of physical devices in
otherwise empty laboratories, the dynamics of signal states over those
detectors, the extraction of information from those states, and multiple
observers. We apply our quantum formalism to the Elitzur-Vaidman bomb-tester
experiment and the Hardy paradox experiment.


title: Dephasing of entangled atoms as an improved test of quantum gravity

abstract:
  In a recent article Wang et al. (Class. Quantum Grav. 23 (2006) L59),
demonstrated that the phase of a particle fluctuates due to interactions with
random deviations of a conformal gravitational field. Furthermore they
demonstrated that atom interferometers are sensitive to these fluctuations and
that sensitivity to Planck scale effects could be achieved with a sufficiently
sensitive interferometer. In this paper we demonstrate that a class of
entangled states, the N-atom Greenberger-Horne-Zeilinger (GHZ) states, provide
a better scaling than atom interferometers and that current experiments are
capable of making a significant impact in this field. We outline an experiment
which uses atomic beams of rubidium atoms excited to Rydberg states. The atoms
undergo controlled collisions in high quality factor microwave resonators in a
sequence that makes the resulting state highly sensitive to conformal field
fluctuations. We show that a significant advance in sensitivity is possible.


title: NA60 results on thermal dimuons

abstract:
  The NA60 experiment at the CERN SPS has measured muon pairs with
unprecedented precision in 158A GeV In-In collisions. A strong excess of pairs
above the known sources is observed in the whole mass region 0.2<M<2.6 GeV. The
mass spectrum for M<1 GeV is consistent with a dominant contribution from
pi+pi- -> rho -> mu+mu- annihilation. The associated rho spectral function
shows a strong broadening, but essentially no shift in mass. For M>1 GeV, the
excess is found to be prompt, not due to enhanced charm production, with
pronounced differences to Drell-Yan pairs. The slope parameter Teff associated
with the transverse momentum spectra rises with mass up to the rho, followed by
a sudden decline above. The rise for M<1 GeV is consistent with radial flow of
a hadronic emission source. The seeming absence of significant flow for M>1 GeV
and its relation to parton-hadron duality is discussed in detail, suggesting a
dominantly partonic emission source in this region. A comparison of the data to
the present status of theoretical modeling is also contained. The accumulated
empirical evidence, including also a Planck-like shape of the mass spectra at
low pT and the lack of polarization, is consistent with a global interpretation
of the excess dimuons as thermal radiation. We conclude with first results on
omega in-medium effects.


title: Strong field double ionization : The phase space perspective

abstract:
  We identify the phase-space structures that regulate atomic double ionization
in strong ultrashort laser pulses. The emerging dynamical picture complements
the recollision scenario by clarifying the distinct roles played by the
recolliding and core electrons, and leads to verifiable predictions on the
characteristic features of the "knee", a hallmark of the nonsequential process.


title:
Semiparametric regression estimation using noisy nonlinear non
  invertible functions of the observations

abstract:
  We investigate a semiparametric regression model where one gets noisy non
linear non invertible functions of the observations. We focus on the
application to bearings-only tracking. We first investigate the least squares
estimator and prove its consistency and asymptotic normality under mild
assumptions. We study the semiparametric likelihood process and prove local
asymptotic normality of the model. This allows to define the efficient Fisher
information as a lower bound for the asymptotic variance of regular estimators,
and to prove that the parametric likelihood estimator is regular and
asymptotically efficient. Simulations are presented to illustrate our results.


title: Deformation of symmetric functions and the rational Steenrod algebra

abstract:
  In 1999, Reg Wood conjectured that the quotient of Q[x_1,...,x_n] by the
action of the rational Steenrod algebra is a graded regular representation of
the symmetric group S_n. As pointed out by Reg Wood, the analog of this
statement is a well known result when the rational Steenrod algebra is replaced
by the ring of symmetric functions; actually, much more is known about the
structure of the quotient in this case.
  We introduce a non-commutative q-deformation of the ring of symmetric
functions, which specializes at q=1 to the rational Steenrod algebra. We use
this formalism to obtain some partial results. Finally, we describe several
conjectures based on an extensive computer exploration. In particular, we
extend Reg Wood's conjecture to q formal and to any q complex not of the form
-a/b, with a in {1,...,n} and b a positive natural number.


title:
Charged Particles and the Electro-Magnetic Field in Non-Inertial Frames
  of Minkowski Spacetime

abstract:
  By using the 3+1 point of view and parametrized Minkowski theories we develop
the theory of {\it non-inertial} frames in Minkowski space-time. The transition
from a non-inertial frame to another one is a gauge transformation connecting
the respective notions of instantaneous 3-space (clock synchronization
convention) and of the 3-coordinates inside them. As a particular case we get
the extension of the inertial rest-frame instant form of dynamics to the
non-inertial rest-frame one. We show that every isolated system can be
described as an external decoupled non-covariant canonical center of mass
(described by frozen Jacobi data) carrying a pole-dipole structure: the
invariant mass and an effective spin. Moreover we identify the constraints
eliminating the internal 3-center of mass inside the instantaneous 3-spaces.
  In the case of the isolated system of positive-energy scalar particles with
Grassmann-valued electric charges plus the electro-magnetic field we obtain
both Maxwell equations and their Hamiltonian description in non-inertial
frames. Then by means of a non-covariant decomposition we define the
non-inertial radiation gauge and we find the form of the non-covariant Coulomb
potential. We identify the coordinate-dependent relativistic inertial
potentials and we show that they have the correct Newtonian limit.
  Then we study properties of Maxwell equations in non-inertial frames like the
wrap-up effect and the Faraday rotation in astrophysics. Also the 3+1
description without coordinate-singularities of the rotating disk and the
Sagnac effect are given, with added comments on pulsar magnetosphere and on a
relativistic extension of the Earth-fixed coordinate system.


title: Where Bell went wrong

abstract:
  It is explained on a physical basis how contextuality allows Bell
inequalities to be violated, without bringing an implication on locality or
realism. The point is that the initial values of the hidden variables of the
detectors are mutually exclusive for different detector settings. Therefore
they have no reason to possess a common probability distribution and hence no
reason to satisfy Bell inequalities. To motivate this, we connect first to the
local realistic theory Stochastic Electrodynamics, and then put the argument
more broadly. Thus even if Bell Inequality Violation is demonstrated beyond
reasonable doubt, it will have no say on local realism.

categories: quant-ph cond-mat.mes-hall math-ph math.MP


title: Existence and uniqueness of constant mean curvature spheres in Sol_3

abstract:
  We study the classification of immersed constant mean curvature (CMC) spheres
in the homogeneous Riemannian 3-manifold Sol_3, i.e., the only Thurston
3-dimensional geometry where this problem remains open. Our main result states
that, for every H>1/(\sqrt{3}), there exists a unique (up to left translations)
immersed CMC H sphere S_H in Sol_3 (Hopf-type theorem). Moreover, this sphere
S_H is embedded, and is therefore the unique (up to left translations) compact
embedded CMC H surface in Sol_3 (Alexandrov-type theorem). The uniqueness parts
of these results are also obtained for all real numbers H such that there
exists a solution of the isoperimetric problem with mean curvature H.


title: A geometric approach to Conn's linearization theorem

abstract:
  We give a soft geometric proof of the classical result due to Conn stating
that a Poisson structure is linearizable around a singular point (zero) at
which the isotropy Lie algebra is compact and semisimple.


title: A dynamical mechanism for quark confinement

abstract:
  Recently there has been progress in the understanding of the confinement
mechanism in Landau gauge QCD. The emerging dynamical description in terms of
the underlying gauge dependent degrees of freedom goes beyond the static
confinement in the quenched limit and has the potential to describe the
scale-dependent phenomenon seen in nature, where new hadrons are produced when
the system is sufficiently excited. I point out that the confinement mechanism
for quarks is rather different from the corresponding one for gluons and that
both are embedded in a consistent framework that can describe important
qualitative properties of strong interaction physics, like chiral symmetry
breaking, spontaneous and anomalous mass generation and a linear rising heavy
quark potential with an almost quark-mass independent string tension.


title: Path Integral Quantization of Quantum Gauge General Relativity

abstract:
  Path integral quantization of quantum gauge general relativity is discussed
in this paper. First, we deduce the generating functional of green function
with external fields. Based on this generating functional, the propagators of
gravitational gauge field and related ghost field are deduced. Then, we
calculate Feynman rules of various interaction vertices of three or four
gravitational gauge fields and vertex between ghost field and gravitational
gauge field. Results in this paper are the bases of calculating vacuum
polarization of gravitational gauge field and vertex correction of
gravitational couplings in one loop diagram level. As we have pointed out in
previous paper, quantum gauge general relativity is perturbative
renormalizable, and a formal proof on its renormalizability is also given in
the previous paper. Next step, we will calculate one-loop and two-loop
renormalization constant, and to prove that the theory is renormalizable in
one-loop and two-loop level by direct calculations.


title: Higher order minimum entropy approximations in radiative transfer

abstract:
  In this paper we approximate the radiative transfer equations by the method
of moments, constructing mesoscopic approximations of arbitrary order of the
otherwise microscopic system. To define the necessary closure a minimum entropy
approach is utilized. While in radiative transfer, the minimum entropy closure
for moment systems up to the first-order moment is well known, higher-order
minimum entropy closures have not been implemented. This is probably due to the
fact that the closure cannot be expressed in analytical form. Our focus thus
lies in developing some general results about the minimum entropy system and in
deriving a numerical closure. By extending to higher order, among increasing
the precision, we are able to overcome difficulties that arise for the first
order minimum entropy method. Numerical experiments in a 1-dimensional domain
irradiated by two beams or with internal source show the accuracy of this
approach.


title: Two-Dimensional Matter: Order, Curvature and Defects

abstract:
  Many systems in nature and the synthetic world involve ordered arrangements
of units on two-dimensional surfaces. We review here the fundamental role payed
by both the topology of the underlying surface and its detailed curvature.
Topology dictates certain broad features of the defect structure of the ground
state but curvature-driven energetics controls the detailed structured of
ordered phases. Among the surprises are the appearance in the ground state of
structures that would normally be thermal excitations and thus prohibited at
zero temperature. Examples include excess dislocations in the form of grain
boundary scars for spherical crystals above a minimal system size, dislocation
unbinding for toroidal hexatics, interstitial fractionalization in spherical
crystals and the appearance of well-separated disclinations for toroidal
crystals. Much of the analysis leads to universal predictions that do not
depend on the details of the microscopic interactions that lead to order in the
first place. These predictions are subject to test by the many experimental
soft and hard matter systems that lead to curved ordered structures such as
colloidal particles self-assembling on droplets of one liquid in a second
liquid. The defects themselves may be functionalized to create ligands with
directional bonding. Thus nano to meso scale superatoms may be designed with
specific valency for use in building supermolecules and novel bulk materials.
Parameters such as particle number, geometrical aspect ratios and anisotropy of
elastic moduli permit the tuning of the precise architecture of the superatoms
and associated supermolecules. Thus the field has tremendous potential from
both a fundamental and materials science/supramolecular chemistry viewpoint.


title: Nuclear Lattice Simulations with Chiral Effective Field Theory

abstract:
  We present recent results on lattice simulations using chiral effective field
theory. In particular we discuss lattice simulations for dilute neutron matter
at next-to-leading order and three-body forces in light nuclei at
next-to-next-to-leading order.


title: Beyond Bandlimited Sampling: Nonlinearities, Smoothness and Sparsity

abstract:
  Sampling theory has benefited from a surge of research in recent years, due
in part to the intense research in wavelet theory and the connections made
between the two fields. In this survey we present several extensions of the
Shannon theorem, that have been developed primarily in the past two decades,
which treat a wide class of input signals as well as nonideal sampling and
nonlinear distortions. This framework is based on viewing sampling in a broader
sense of projection onto appropriate subspaces, and then choosing the subspaces
to yield interesting new possibilities. For example, our results can be used to
uniformly sample non-bandlimited signals, and to perfectly compensate for
nonlinear effects.


title:
HeII->HeI Recombination of Primordial Helium Plasma Including the Effect
  of Neutral Hydrogen

abstract:
  The HeII->HeI recombination of primordial helium plasma (z = 1500 - 3000) is
considered in terms of the standard cosmological model. This process affects
the formation of cosmic microwave background anisotropy and spectral
distortions. We investigate the effect of neutral hydrogen on the HeII->HeI
recombination kinetics with partial and complete redistributions of radiation
in frequency in the HeI resonance lines. It is shown that to properly compute
the HeII->HeI recombination kinetics, one should take into account not only the
wings in the absorption and emission profiles of the HeI resonance lines, but
also the mechanism of the redistribution of resonance photons in frequency.
Thus, for example, the relative difference in the numbers of free electrons for
the model using Doppler absorption and emission profiles and the model using a
partial redistribution in frequency is 1 - 1.3% for the epoch z = 1770 - 1920.
The relative difference in the numbers of free electrons for the model using a
partial redistribution in frequency and the model using a complete
redistribution in frequency is 1 - 3.8% for the epoch z = 1750 - 2350.


title: Branching Bisimilarity with Explicit Divergence

abstract:
  We consider the relational characterisation of branching bisimilarity with
explicit divergence. We prove that it is an equivalence and that it coincides
with the original definition of branching bisimilarity with explicit divergence
in terms of coloured traces. We also establish a correspondence with several
variants of an action-based modal logic with until- and divergence modalities.


title: Contrasting confinement in superQCD and superconductors

abstract:
  The vacuum of supersymmetric gauge theories (SQCD) with N=2 softly broken to
N=1 resembles that of a BCS superconductor in that it has a condensate which
collimates flux into vortices, leading to confinement. We embed the SQCD vortex
into the BCS theory by identifying the N=1 vector multiplet mass and lightest
massive chiral multiplet mass with the Fermi velocity divided by the London
penetration depth and coherence length respectively. Thus embedded the
superconductivity is type I and so the vortex core is smaller than the
coherence length. Therefore nonlocal effects (Pippard electrodynamics) imply
that the vortex solution is beyond the range of validity of the Landau-Ginzburg
approximation implicit in the gauge theory. In other words, the vortex solution
contains gradients greater than those for which the BCS and gauge theory
descriptions agree. We consider more general superpotentials which are
polynomial in the chiral multiplets and find that, unless one adds a SUSY
breaking sector, one obtains type II superconductivity only when the
superpotential perturbation is at least quadratic in the fundamental chiral
multiplets and at least linear in the adjoint chiral multiplets, in which case
there is no N=2 supersymmetry in the ultraviolet.


title:
A Computational Model to Disentangle Semantic Information Embedded in
  Word Association Norms

abstract:
  Two well-known databases of semantic relationships between pairs of words
used in psycholinguistics, feature-based and association-based, are studied as
complex networks. We propose an algorithm to disentangle feature based
relationships from free association semantic networks. The algorithm uses the
rich topology of the free association semantic network to produce a new set of
relationships between words similar to those observed in feature production
norms.

categories: cs.CL cs.AI physics.data-an physics.soc-ph


title:
Generalized Exponential Function and some of its Applications to Complex
  Systems

abstract:
  From the integration of non-symmetrical hyperboles, a one-parameter
generalization of the logarithmic function is obtained. Inverting this
function, one obtains the generalized exponential function. We show that
functions characterizing complex systems can be conveniently written in terms
of this generalization of the exponential function. The gamma function is then
generalized and we generalize the factorial operation. Also a very reliable
rank distribution can be conveniently described by the generalized exponential
function. Finally, we turn the attention to the generalization of one- and
two-tail stretched exponential functions. One obtains, as particular cases, the
generalized error function, the Zipf-Mandelbrot probability density function
(pdf), the generalized gaussian and Laplace pdf. One can also obtain
analytically their cumulative functions and moments.


title: Quantum Logic and Quantum Computation

abstract:
  We use classes of Hilbert lattice equations for an alternative representation
of Hilbert lattices and Hilbert spaces of arbitrary quantum systems that might
enable a direct introduction of the states of the systems into quantum
computers. More specifically, we look for a way to feed a quantum computer with
algebraic equations of n-th order underlying an infinite dimensional Hilbert
space description of quantum systems. A number of new results on states defined
on Hilbert lattices are presented and discussed and a number of recently
obtained results in the field of Hilbert space equations are reviewed.


title: Excited mesons in a Bethe-Salpeter approach

abstract:
  In theoretical hadron physics mesons are a center of attention. Constructed
in a simpler way than baryons in the quark model, they still present a
considerable challenge if one aims at an understanding of all their aspects in
terms of quarks and gluons in the context of Quantum Chromodynamics, the
quantum field theory of the strong interaction. Complementary to (constituent-)
quark models, reductions of the Bethe-Salpeter equation, lattice QCD, and
effective field theories, the Dyson-Schwinger-equation approach has emerged as
a well-suited formalism for the covariant study of hadron properties. In
particular, radially excited mesons exhibit a sensitivity to long-range
strong-interaction physics. This sensitivity has recently been studied with the
help of the Bethe-Salpeter equation. Here these studies are reviewed and
continued together with an account of possible future developments.


title:
Renormalization group flows for the second $\mathbb{Z}_{N}$
  parafermionic field theory for $N$ even

abstract:
  Extending the results obtained in the case $N$ odd, the effect of slightly
relevant perturbations of the second parafermionic field theory with the
symmetry $\mathbb{Z}_{N}$, for $N$ even, are studied. The renormalization group
equations, and their infra red fixed points exhibit the same structure in both
cases. In addition to the standard flow from the $p$-th to the $(p-2)$-th
model, another fixed point corresponding to the $(p-1)$-th model is found.


title:
Maximal inequalities for dual Sobolev spaces $W^{-1,p}$ and applications
  to interpolation

abstract:
  We firstly describe a maximal inequality for dual Sobolev spaces W^{-1,p}.
This one corresponds to a "Sobolev version" of usual properties of the
Hardy-Littlewood maximal operator in Lebesgue spaces. Even in the euclidean
space, this one seems to be new and we develop arguments in the general
framework of Riemannian manifold. Then we present an application to obtain
interpolation results for Sobolev spaces.


title: Saturable absorption or slow light?

abstract:
  Quantitative analysis of slow light experiments utilising coherent population
oscillation (CPO) in a range of saturably absorbing media, including ruby and
alexandrite, Er3+:Y2SiO5, bacteriorhodopsin, semi-conductor quantum devices and
erbium doped optical fibres, shows that the observations may be more simply
interpreted as saturable absorption phenomena. A basic two-level model of a
saturable absorber displays all the effects normally associated with slow
light, namely phase shift and modulation gain of the transmitted signal, hole
burning in the modulation frequency spectrum and power broadening of the
spectral hole, arising from the finite response time of the non-linear
absorption. Only where hole-burning in the optical spectrum is observed (using
independent pump and probe beams), or pulse delays exceeding the limits set by
saturable absorption are obtained, can reasonable confidence be placed in the
observation of slow light in such experiments. Superluminal ('fast light')
phenomena in media with reverse saturable absorption (RSA) may be similarly
explained.


title: Spontaneous CP violation in the NJL model at theta = pi

abstract:
  As is well-known, spontaneous CP-violation in the strong interaction is
possible at theta = pi, which is commonly referred to as Dashen's phenomenon.
This phenomenon has been studied extensively using chiral Lagrangians. Here the
two-flavor NJL model at theta = pi is discussed. It turns out that the
occurrence of spontaneous CP-violation depends on the strength of the 't Hooft
determinant interaction, which describes the effect of instanton interactions.
The dependence of the phase structure, and in particular of the CP-violating
phase, on the quark masses, temperature, baryon and isospin chemical potential
is examined in detail. The latter dependence shows a modification of the
charged pion condensed phase first discussed by Son and Stephanov.


title: Semi-Inclusive Distributions in Statistical Models

abstract:
  The semi-inclusive properties of the system of neutral and charged particles
with net charge equal to zero are considered in the grand canonical, canonical
and micro-canonical ensembles as well as in micro-canonical ensemble with
scaling volume fluctuations. Distributions of neutral particle multiplicity and
charged particle momentum are calculated as a function of the number of charged
particles. Different statistical ensembles lead to qualitatively different
dependencies. They are being compared with the corresponding experimental data
on multi-hadron production in $p+p$ interactions at high energies.


title: Invariants alg\'ebriques de graphes et reconstruction

abstract:
  We report on results about a study of algebraic graph invariants, based on
computer exploration, and motivated by graph-isomorphism and reconstruction
problems.


title:
The Clustering Behavior of Pre-Main Sequence Stars in NGC 346 in the
  Small Magellanic Cloud

abstract:
  We present evidence that the star-forming region NGC 346/N66 in the Small
Magellanic Cloud is the product of hierarchical star formation, probably from
more than one star formation event. We investigate the spatial distribution and
clustering behavior of the pre-main sequence (PMS) stellar population in the
region, using data obtained with Hubble Space Telescope's Advanced Camera for
Surveys. By applying the nearest neighbor and minimum spanning tree methods on
the rich sample of PMS stars previously discovered in the region we identify
ten individual PMS clusters in the area and quantify their structures. The
clusters show a wide range of morphologies from hierarchical multi-peak
configurations to centrally condensed clusters. However, only about 40 per cent
of the PMS stars belong to the identified clusters. The central association NGC
346 is identified as the largest stellar concentration, which cannot be
resolved into subclusters. Several PMS clusters are aligned along filaments of
higher stellar density pointing away from the central part of the region. The
PMS density peaks in the association coincide with the peaks of [OIII] and 8
micron emission. While more massive stars seem to be concentrated in the
central association when considering the entire area, we find no evidence for
mass segregation within the system itself.


title:
The UKIRT Wide Field Camera ZYJHK Photometric System: Calibration from
  2MASS

abstract:
  In this paper we describe the photometric calibration of data taken with the
near-infrared Wide Field Camera (WFCAM) on the United Kingdom Infrared
Telescope (UKIRT). The broadband ZYJHK data are directly calibrated from 2MASS
point sources which are abundant in every WFCAM pointing. We perform an
analysis of spatial systematics in the photometric calibration, both inter- and
intra-detector and show that these are present at up to the 5 per cent level in
WFCAM. Although the causes of these systematics are not yet fully understood, a
method for their removal is developed and tested. Following application of the
correction procedure the photometric calibration of WFCAM is found to be
accurate to approximately 1.5 per cent for the JHK bands and 2 per cent for the
ZY bands, meeting the survey requirements. We investigate the transformations
between the 2MASS and WFCAM systems and find that the Z and Y calibration is
sensitive to the effects of interstellar reddening for large values of E(B-V)',
but that the JHK filters remain largely unaffected. We measure a small
correction to the WFCAM Y-band photometry required to place WFCAM on a Vega
system, and investigate WFCAM measurements of published standard stars from the
list of UKIRT faint standards. Finally we present empirically determined
throughput measurements for WFCAM.


title: Algebraic invariants of graphs; a study based on computer exploration

abstract:
  We consider the ring I_n of polynomial invariants over weighted graphs on n
vertices. Our primary interest is the use of this ring to define and explore
algebraic versions of isomorphism problems of graphs, such as Ulam's
reconstruction conjecture. There is a huge body of literature on invariant
theory which provides both general results and algorithms. However, there is a
combinatorial explosion in the computations involved and, to our knowledge, the
ring I_n has only been completely described for n<=4. This led us to study the
ring I_n in its own right. We used intensive computer exploration for small n,
and developed PerMuVAR, a library for MuPAD, for computing in invariant rings
of permutation groups. We present general properties of the ring I_n, as well
as results obtained by computer exploration for small n, including the
construction of a medium sized generating set for I_5. We address several
conjectures suggested by those results (low degree system of parameters,
unimodality), for I_n as well as for more general invariant rings. We also show
that some particular sets are not generating, disproving a conjecture of Pouzet
related to reconstruction, as well as a lemma of Grigoriev on the invariant
ring over digraphs. We finally provide a very simple minimal generating set of
the field of invariants.


title: A Finite Element Framework for Option Pricing with the Bates Model

abstract:
  In the present paper we present a finite element approach for option pricing
in the framework of a well-known stochastic volatility model with jumps, the
Bates model. In this model the asset log-returns are assumed to follow a
jump-diffusion model where the jump component consists of a Levy process of
compound Poisson type, while the volatility behavior is described by a
stochastic differential equation of CIR type, with a mean-reverting drift term
and a diffusion component correlated with that of the log-returns. Like in all
the Levy models, the option pricing problem can be formulated in terms of an
integro-differential equation: for the Bates model the unknown F(S, V, t) (the
option price) of the pricing equation depends on three independent variables
and the differential operator part turns out to be of parabolic kind, while the
nonlocal integral operator is calculated with respect to the Levy measure of
the jumps. In this paper we will present a variational formulation of the
problem suitable for a finite element approach. The numerical results obtained
for european options will be compared with those obtained with different
methods.


title: Normal approximation for coverage models over binomial point processes

abstract:
  We give error bounds which demonstrate optimal rates of convergence in the
CLT for the total covered volume and the number of isolated shapes, for
germ-grain models with fixed grain radius over a binomial point process of $n$
points in a toroidal spatial region of volume $n$. The proof is based on
Stein's method via size-biased couplings.


title:
Anomalous Hall effect in granular ferromagnetic metals and effects of
  weak localization

abstract:
  We theoretically investigate the anomalous Hall effect in a system of
dense-packed ferromagnetic grains in the metallic regime. Using the formalism
recently developed for the conventional Hall effect in granular metals, we
calculate the residual anomalous Hall conductivity $\sigma_{xy}$ and
resistivity $\rho_{xy}$ and weak localization corrections to them for both
skew-scattering and side-jump mechanisms. We find that, unlike for
homogeneously disordered metals, the scaling relation between $\rho_{xy}$ and
the longitudinal resistivity $\rho_{xx}$ does not hold. The weak localization
corrections, however, are found to be in agreement with those for homogeneous
metals. We discuss recent experimental data on the anomalous Hall effect in
polycrystalline iron films in view of the obtained results.


title:
Hyperbolic (1,2)-knots in S^3 with crosscap number two and tunnel number
  one

abstract:
  A knot in S^3 is said to have crosscap number two if it bounds a
once-punctured Klein bottle but not a Moebius band. In this paper we give a
method of constructing crosscap number two hyperbolic (1,2)-knots with tunnel
number one which are neither 2-bridge nor (1,1)-knots. An explicit infinite
family of such knots is discussed in detail.


title: Quantum Vacuum Experiments Using High Intensity Lasers

abstract:
  The quantum vacuum constitutes a fascinating medium of study, in particular
since near-future laser facilities will be able to probe the nonlinear nature
of this vacuum. There has been a large number of proposed tests of the
low-energy, high intensity regime of quantum electrodynamics (QED) where the
nonlinear aspects of the electromagnetic vacuum comes into play, and we will
here give a short description of some of these. Such studies can shed light,
not only on the validity of QED, but also on certain aspects of nonperturbative
effects, and thus also give insights for quantum field theories in general.


title:
Efficient formation of ground state ultracold molecules via STIRAP from
  the continuum at a Feshbach resonance

abstract:
  We develop a complete theoretical description of photoassociative Stimulated
Raman Adiabatic Passage (STIRAP) near a Feshbach resonance in a thermal atomic
gas. We show that it is possible to use low intensity laser pulses to directly
excite the continuum at a Feshbach resonance and transfer nearly the entire
atomic population to the lowest rovibrational level in the molecular ground
state. In case of a broad resonance, commonly found in several diatomic alkali
molecules, our model predicts a transfer efficiency $\eta$ up to 97% for a
given atom pair, and up to 70% when averaged over an atomic ensemble. The laser
intensities and pulse durations needed for optimal transfer are $10^2-10^3$
W/cm$^2$ and several $\mu$s. Such efficiency compares to or surpasses currently
available techniques for creating stable diatomic molecules, and the
versatility of this approach simplifies its potential use for many molecular
species.


title: Binomial coefficients and the ring of p-adic integers

abstract:
  Let k>1 be an integer and let p be a prime. We show that if $p^a\le k<2p^a$
or $k=p^aq+1$ (with 2q<p) for some a=1,2,..., then the set {\binom{n}{k}:
n=0,1,2,...} is dense in the ring Z_p of p-adic integers, i.e., it contains a
complete system of residues modulo any power of p.


title:
Dipole model analysis of the newest diffractive deep inelastic
  scattering data

abstract:
  We analyse the newest diffractive deep inelastic scattering data from the
DESY collider HERA with the help of dipole models. We find good agreement with
the data on the diffractive structure functions provided the diffractive open
charm contribution is taken into account. However, the region of large
diffractive mass (small values of a parameter beta) needs some refinement with
the help of an additional gluon radiation.


title: Dynamics of lane formation in driven binary complex plasmas

abstract:
  The dynamical onset of lane formation is studied in experiments with binary
complex plasmas under microgravity conditions. Small microparticles are driven
and penetrate into a cloud of big particles, revealing a strong tendency
towards lane formation. The observed time-resolved lane formation process is in
good agreement with computer simulations of a binary Yukawa model with Langevin
dynamics. The laning is quantified in terms of the anisotropic scaling index,
leading to a universal order parameter for driven systems.


title: Two-component gap solitons with linear interconversion

abstract:
  We consider one-dimensional solitons in a binary Bose-Einstein condensate
with linear coupling between the components, trapped in an optical-lattice
potential. The inter-species and intra-species interactions may be both
repulsive or attractive. Main effects considered here are spontaneous breaking
of the symmetry between components in symmetric and antisymmetric solitons, and
spatial splitting between the components. These effects are studied by means of
a variational approximation and numerical simulations.


title: The Disruption and Fueling of M33

abstract:
  The disruption of the M33 galaxy is evident from its extended gaseous
structure. We present new data from the Galactic Arecibo L-Band Feed Array HI
(GALFA-HI) Survey that show the full extent and detailed spatial and kinematic
structure of M33's neutral hydrogen. Over 18% of the HI mass of M33 (M_HI(tot)
=1.4 x 10^9 Msun) is found beyond the star forming disk as traced in the
far-ultraviolet (FUV). The most distinct features are extended warps, an arc
from the northern warp to the disk, diffuse gas surrounding the galaxy, and a
southern cloud with a filament back to the galaxy. The features extend out to
22 kpc from the galaxy center (18 kpc from the edge of the FUV disk) and the
gas is directly connected to M33's disk. Only five discrete clouds (i.e., gas
not directly connected to M33 in position-velocity space) are catalogued in the
vicinity of M33, and these clouds show similar properties to Galactic and M31
halo clouds. M33's gaseous features most likely originate from the tidal
disruption of M33 by M31 1-3 Gyr ago as shown from an orbit analysis which
results in a tidal radius < 15 kpc in the majority of M33's possible orbits.
M33 is now beyond the disruptive gravitational influence of M31 and the gas
appears to be returning to M33's disk and redistributing its star formation
fuel. M33's high mean velocity dispersion in the disk (~18.5 km/s) may also be
consistent with the previous interaction and high rate of star formation. M33
will either exhaust its star formation fuel in the next few Gyrs or eventually
become star formation fuel for M31. The latter represents the accretion of a
large gaseous satellite by a spiral galaxy, similar to the Magellanic Clouds'
relationship to the Galaxy.


title:
Direct observation of charge order and orbital glass state in
  multiferroic LuFe2O4

abstract:
  Geometrical frustration of the Fe ions in LuFe2O4 leads to intricate charge
and magnetic order and a strong magnetoelectric coupling. Using resonant x-ray
diffraction at the Fe K edge, the anomalous scattering factors of both Fe sites
are deduced from the (h/3 k/3 l/2) reflections. The chemical shift between the
two types of Fe ions equals 4.0(1) eV corresponding to full charge separation
into Fe2+ and Fe3+. Polarization and azimuthal angle dependence of the
superlattice reflections demonstrates the absence of anisotropic scattering
revealing random orientations of the Fe2+ orbitals characteristic of an orbital
glass state.


title: Survival Probability for the Stadium Billiard

abstract:
  We consider the open stadium billiard, consisting of two semicircles joined
by parallel straight sides with one hole situated somewhere on one of the
sides. Due to the hyperbolic nature of the stadium billiard, the initial decay
of trajectories, due to loss through the hole, appears exponential. However,
some trajectories (bouncing ball orbits) persist and survive for long times and
therefore form the main contribution to the survival probability function at
long times. Using both numerical and analytical methods, we concur with
previous studies that the long-time survival probability for a reasonably small
hole drops like Constant/time; here we obtain an explicit expression for the
Constant.


title: Long-time asymptotics and conservation laws in integrable systems

abstract:
  One dimensional systems sometimes show pathologically slow decay of currents.
This robustness can be traced to the fact that an integrable model is nearby in
parameter space. In integrable models some part of the current can be
conserved, explaining this slow decay. Unfortunately, although this
conservation law is formally anticipated, in practice it has been difficult to
find in concrete cases, such as the Heisenberg model. We investigate this issue
both analytically and numerically and find that the appropriate conservation
law can be a non-analytic combination of the known local conservation laws and
hence is invisible to elementary assumptions.


title: Arithmetical rank of toric ideals associated to graphs

abstract:
  Let $I_{G} \subset K[x_{1},...,x_{m}]$ be the toric ideal associated to a
finite graph $G$. In this paper we study the binomial arithmetical rank and the
$G$-homogeneous arithmetical rank of $I_G$ in 2 cases: $G$ is bipartite, $I_G$
is generated by quadratic binomials. In both cases we prove that the binomial
arithmetical rank and the $G$-arithmetical rank coincide with the minimal
number of generators of $I_G$.