title:
Solution of the D-dimensional Klein-Gordon equation with equal scalar
  and vector ring-shaped pseudoharmonic potential

abstract:
  We present the exact solution of the Klein-Gordon equation in D-dimensions in
the presence of the noncentral equal scalar and vector pseudoharmonic potential
plus the new ring-shaped potential using the Nikiforov-Uvarov method. We obtain
the exact bound-state energy levels and the corresponding eigen functions for a
spin-zero particles. We also find that the solution for this noncentral
ring-shaped pseudoharmonic potential can be reduced to the three-dimensional
pseudoharmonic solution once the coupling constant of the noncentral part of
the potential becomes zero.


title:
Density Correlations in Cold Atomic Gases: Atomic Speckles in the
  Presence of Disorder

abstract:
  The phenomenon of random intensity patterns, for waves propagating in the
presence of disorder, is well known in optics and in mesoscopic physics. We
study this phenomenon for cold atomic gases expanding, by a diffusion process,
in a weak random potential. We show that the density-density correlation
function of the expanding gas is strongly affected by disorder and we estimate
the typical size of a speckle spot, i.e., a region of enhanced or depleted
density. Both a Fermi gas and a Bose-Einstein condensate (in a mean field
approach) are considered.


title: Vortex generation in the RSP game on the triangular lattice

abstract:
  A new model of population dynamics on lattices is proposed. The model
consists of players on lattice points, each of which plays the RSP game with
neighboring players. Each player copies the next hand from the hand of the
neighbouring player with the maximum point. The model exhibits a steady pattern
with pairs of vortices and sinks on the triangular lattice. It is shown that
the stationary vortex is due to the frustrations on the triangular lattice. A
frustration is the three-sided situation where each of the three players around
a triangle chooses the rock, the scissors and the paper, respectively.


title:
Consensus formation on coevolving networks: groups' formation and
  structure

abstract:
  We study the effect of adaptivity on a social model of opinion dynamics and
consensus formation. We analyze how the adaptivity of the network of contacts
between agents to the underlying social dynamics affects the size and
topological properties of groups and the convergence time to the stable final
state. We find that, while on static networks these properties are determined
by percolation phenomena, on adaptive networks the rewiring process leads to
different behaviors: Adaptive rewiring fosters group formation by enhancing
communication between agents of similar opinion, though it also makes possible
the division of clusters. We show how the convergence time is determined by the
characteristic time of link rearrangement. We finally investigate how the
adaptivity yields nontrivial correlations between the internal topology and the
size of the groups of agreeing agents.


title: Magnetic acceleration of ultra-relativistic GRB and AGN jets

abstract:
  We present numerical simulations of cold, axisymmetric, magnetically driven
relativistic outflows. The outflows are initially sub-Alfv\'enic and Poynting
flux-dominated, with total--to--rest-mass energy flux ratio up to $\mu \sim
620$. To study the magnetic acceleration of jets we simulate flows confined
within a funnel with rigid wall of prescribed shape, which we take to be
$z\propto r^a$ (in cylindrical coordinates, with $a$ ranging from 1 to 2). This
allows us to eliminate the numerical dissipative effects induced by a free
boundary with an ambient medium. We find that in all cases they converge to a
steady state characterized by a spatially extended acceleration region. For the
jet solutions the acceleration process is very efficient - on the outermost
scale of the simulation more than half of the Poynting flux has been converted
into kinetic energy flux, and the terminal Lorentz factor approached its
maximum possible value ($\Gamma_\infty \simeq \mu$). The acceleration is
accompanied by the collimation of magnetic field lines in excess of that
dictated by the funnel shape. The numerical solutions are generally consistent
with the semi-analytic self-similar jets solutions and the spatially extended
acceleration observed in some astrophysical relativistic jets. In agreement
with previous studies we also find that the acceleration is significantly less
effective for wind solutions suggesting that pulsar winds may remain Poynting
dominated when they reach the termination shock.


title: On algebras generated by inner derivations

abstract:
  We look for an effective description of the algebra D_{Lie}(X,B) of operators
on a bimodule X over an algebra B, generated by inner derivations. It is shown
that in some important examples D_{Lie}(X,B) consists of all elementary
operators x\to \sum_i a_ixb_i satisfying the conditions $\sum_i a_ib_i = \sum_i
b_ia_i = 0. The Banach algebraic versions of these results are also obtained
and applied to the description of closed Lie ideals in some Banach algebras,
and to the proof of a density theorem for Lie algebras of operators on Hilbert
space.


title: Potential Targets for ASTRO-G In-Beam Phase-Referencing

abstract:
  We show that as many as ~50 quasars with at least mJy-level expected flux
density can be pre-selected as potential in-beam phase-reference targets for
ASTRO-G. Most of them have never been imaged with VLBI. These sources are
located around strong, compact calibrator sources that have correlated flux
density >100 mJy on the longest VLBA baselines at 8.4 GHz. All the targets lie
within 12' from the respective reference source. The basis of this selection is
an efficient method to identify potential weak VLBI target quasars simply using
optical and low-resolution radio catalogue data. The sample of these dominantly
weak sources offers a good opportunity for a statistical study of their radio
structure with unprecedented angular resolution at 8.4 GHz.


title: High-Redshift Quasars at the Highest Resolution: VSOP Results

abstract:
  We studied the radio structure of high-redshift (z>3) quasars with VSOP at
1.6 and 5 GHz. These sources are the most distant objects ever observed with
Space VLBI, at rest-frame frequencies up to ~25 GHz. Here we give an account of
the observations and briefly highlight the most interesting cases and results.
These observations allowed us, among other things, to estimate the mass of the
central black holes powering these quasars, to identify large misalignments
between the milli-arcsecond (mas) and sub-mas scale radio structures, and to
detect apparent superluminal motion at sub-mas scale.


title: Dynamical Models for Disk Galaxies with Triaxial Halos

abstract:
  We construct self-consistent dynamical models for disk galaxies with
triaxial, cuspy halos. We begin with an equilibrium, axisymmetric,
disk-bulge-halo system and apply an artificial acceleration to the halo
particles. By design, this acceleration conserves energy and thereby preserving
the system's differential energy distribution even as its phase space
distribution function is altered. The halo becomes triaxial but its
spherically-averaged density profile remains largely unchanged. The final
system is in equilibrium, to a very good approximation, so long as the halo's
shape changes adiabatically. The disk and bulge are ``live'' while the halo is
being deformed; they respond to the changing gravitational potential but also
influence the deformation of the halo. We test the hypothesis that halo
triaxiality can explain the rotation curves of low surface brightness galaxies
by modelling the galaxy F568-3.


title: Hilbert Coefficients and Depth of the Associated Graded Ring of an Ideal

abstract:
  In this expository paper we survey results that relate Hilbert coefficients
of an m-primary ideal I in a Cohen-Macaulay local ring (R, m) with depth of the
associated graded ring G(I). Several results in this area follow from two
theorems of S. Huckaba and T. Marley. These were proved using homological
techniques. We provide simple proofs using superficial sequences.


title:
Quantum communication beyond the localization length in disordered spin
  chains

abstract:
  We study the effects of localization on quantum state transfer in spin
chains. We show how to use quantum error correction and multiple parallel spin
chains to send a qubit with high fidelity over arbitrary distances; in
particular distances much greater than the localization length of the chain.


title:
Approximate solutions in General Relativity via deformation of
  embeddings

abstract:
  A systematic study of deformations of four-dimensional Einsteinian
space-times embedded in a pseudo-Euclidean space $E^N$ of higher dimension is
presented. Infinitesimal deformations, seen as vector fields in $E^N$, can be
divided in two parts, tangent to the embedded hypersurface and orthogonal to
it; only the second ones are relevant, the tangent ones being equivalent to
coordinate transformations in the embedded manifold.
  The geometrical quantities can be then expressed in terms of embedding
functions $z^A$ and their infinitesimal deformations $v^A z^A \to {\tilde{z}}^A
= z^A + \epsilon v^A$. The deformations are called Einsteinian if they keep
Einstein equations satisfied up to a given order in $\epsilon$. The system so
obtained is then analyzed in particular in the case of the Schwarzschild metric
taken as the starting point, and some solutions of the first-order deformation
of Einstein's equations are found.
  We discuss also second and third order deformations leading to wave-like
solutions and to the departure from spherical symmetry towards an axial one
(the approximate Kerr solution)


title: Why Don't We See the Hagedorn Mass Spectrum in the Experiments?

abstract:
  The influence of medium dependent finite width of the QGP bags on their
equation of state is analyzed on a basis of an exactly solvable model with the
general mass-volume spectrum of these bags. It is arguing that the consistent
statistical description of the QGP bags is achieved for the width proportional
to the square root of their volume. The model allows us to estimate the minimal
value of the QGP bags' width from the new lattice QCD data. The large width of
the QGP bags not only explains the observed deficit in the number of hadronic
resonances compared to the Hagedorn mass spectrum, but also clarifies the
reason why the heavy/ large QGP bags cannot be directly observed in experiments
as metastable states in a hadronic phase.


title: Axiomatizing relativistic dynamics without conservation postulates

abstract:
  A part of relativistic dynamics (or mechanics) is axiomatized by simple and
purely geometrical axioms formulated within first-order logic. A geometrical
proof of the formula connecting relativistic and rest masses of bodies is
presented, leading up to a geometric explanation of Einstein's famous $E=mc^2$.
The connection of our geometrical axioms and the usual axioms on the
conservation of mass, momentum and four-momentum is also investigated.


title: Towards the saturation of the Froissart bound

abstract:
  It is the aim of this paper to summarize results about the construction of
amplitudes, which rigorously satisfy Mandelstam analyticity, crossing symmetry,
and (at least partly) the constraints imposed by elastic and inelastic
unitarity. The results are discussed under particular emphasis of a strong
increase of the absorptive part of the forward amplitude and the saturation of
the Froissart bound.


title: Note on 2d binary operadic harmonic oscillator

abstract:
  It is explained how the time evolution of the operadic variables may be
introduced. As an example, a 2-dimensional binary operadic Lax representation
of the harmonic oscillator is found.


title: Counting nodal domains on surfaces of revolution

abstract:
  We consider eigenfunctions of the Laplace-Beltrami operator on special
surfaces of revolution. For this separable system, the nodal domains of the
(real) eigenfunctions form a checker-board pattern, and their number $\nu_n$ is
proportional to the product of the angular and the "surface" quantum numbers.
Arranging the wave functions by increasing values of the Laplace-Beltrami
spectrum, we obtain the nodal sequence, whose statistical properties we study.
In particular we investigate the distribution of the normalized counts
$\frac{\nu_n}{n}$ for sequences of eigenfunctions with $K \le n\le K + \Delta
K$ where $K,\Delta K \in \mathbb{N}$. We show that the distribution approaches
a limit as $K,\Delta K\to\infty$ (the classical limit), and study the leading
corrections in the semi-classical limit. With this information, we derive the
central result of this work: the nodal sequence of a mirror-symmetric surface
is sufficient to uniquely determine its shape (modulo scaling).


title:
Pre-peak ram pressure stripping in the Virgo cluster spiral galaxy NGC
  4501

abstract:
  VIVA HI observations of the Virgo spiral galaxy NGC 4501 are presented. The
HI disk is sharply truncated to the southwest, well within the stellar disk. A
region of low surface-density gas, which is more extended than the main HI
disk, is discovered northeast of the galaxy center. These data are compared to
existing 6cm polarized radio continuum emission, Halpha, and optical broad band
images. We observe a coincidence between the western HI and polarized emission
edges, on the one hand, and a faint Halpha emission ridge, on the other. The
polarized emission maxima are located within the gaps between the spiral arms
and the faint Halpha ridge. Based on the comparison of these observations with
a sample of dynamical simulations with different values for maximum ram
pressure and different inclination angles between the disk and the orbital
plane,we conclude that ram pressure stripping can account for the main observed
characteristics. NGC 4501 is stripped nearly edge-on, is heading southwest, and
is ~200-300 Myr before peak ram pressure, i.e. its closest approach to M87. The
southwestern ridge of enhanced gas surface density and enhanced polarized
radio-continuum emission is due to ram pressure compression. It is argued that
the faint western Halpha emission ridge is induced by nearly edge-on ram
pressure stripping. NGC 4501 represents an especially clear example of early
stage ram pressure stripping of a large cluster-spiral galaxy.


title:
Yb$_{2}$Pt$_{2}$Pb: Magnetic frustration in the Shastry-Sutherland
  lattice

abstract:
  We have synthesized single crystals of Yb$_{2}$Pt$_{2}$Pb, which crystallize
in the layered U$_{2}$Pt$_{2}$Sn-type structure, where planes of Yb ions lie on
a triangular network. We report here the first results of magnetization,
specific heat, and electrical resistivity experiments. The lattice constants
and high temperature magnetic susceptibility indicate that the Yb ions are
trivalent, while Schottky peaks in the specific heat show that the ground state
is a well isolated doublet. Significant magnetic anisotropy is observed, with
the ratio of susceptibilities perpendicular and parallel to the magnetic planes
differing by as much as a factor of 30 at the lowest temperatures.
Antiferromagnetic order occurs at a N\'eel temperature $T_{\rm N}$=2.07 K, a
transition temperature which is more than an order of magnitude smaller than
the mean field interactions reflected by the in-plane Weiss temperature.
Further evidence for short ranged magnetic fluctuations is found in the
magnetic susceptibility and electrical resistivity, which have broad peaks
above $T_{\rm N}$, and in the slow development of the magnetic entropy at
$T_{\rm N}$. Our experiments indicate that Yb$_{2}$Pt$_{2}$Pb is a quasi-two
dimensional and localized moment system, where strong magnetic frustration may
arise from the geometry of the underlying Shastry-Sutherland lattice.


title:
Parsec-scale Investigation of the Magnetic Field Structure of Several
  AGN Jets

abstract:
  Multi-frequency (4.6, 5, 5.5, 8, 8.8, 13, 15, 22 & 43 GHz) polarization
observations of 6 "blazars" were obtained on the American Very Long Baseline
Array (VLBA) over a 24-hr period on 2 July 2006. Observing at several
frequencies, separated by short and long intervals, enabled reliable
determination of the distribution of Faraday Rotation on a range of scales. In
all cases the magnitude of the RM increases in the higher frequency
observations, implying that the electron density and/or magnetic field strength
is increasing as we get closer to the central engine. After correcting for
Faraday rotation, the polarization orientation in the jet is either parallel or
perpendicular to the jet direction. A transverse Rotation Measure (RM) gradient
was detected in the jet of 0954+658, providing evidence for the presence of a
helical magnetic field surrounding the jet. For three of the sources (0954+658,
1418+546, 2200+420), the sign of the RM in the core region changes in different
frequency-intervals, indicating that the line-of-sight component of the
magnetic field is changing with distance from the base of the jet. We suggest
an explanation for this in terms of bends in a relativistic jet surrounded by a
helical magnetic field; where there is no clear evidence for pc-scale bends,
the same effect can be explained by an accelerating/decelerating jet.


title: Transseries for beginners

abstract:
  From the simplest point of view, transseries are a new kind of expansion for
real-valued functions. But transseries constitute much more than that--they
have a very rich (algebraic, combinatorial, analytic) structure. The set of
transseries is a large ordered field, extending the real number field, and
endowed with additional operations such as exponential, logarithm, derivative,
integral, composition. Over the course of the last 20 years or so, transseries
have emerged in several areas of mathematics: asymptotic analysis, model
theory, computer algebra, surreal numbers. This paper is an exposition for the
non-specialist mathematician.
  All a mathematician needs to know in order to apply transseries.


title: Run Up of Surface and Internal Waves

abstract:
  The evolution of breaking waves propagating towards the shore and more
specifically the run-up phase over the swash-zone for surface as well as for
internal waves is considered. The study is based on a) laboratory run up
experiments for surface waves ; b) laboratory stratified flow experiments and
c) on field data describing the internal wave run up. The presentation is
focused on the breaking and energy transfer mechanisms common to surface and
internal waves in the swash-zone. The mathematical model taking into account
turbulent mixing and dispersion effects is discussed.


title:
Characterizations and simulations of a class of stochastic processes to
  model anomalous diffusion

abstract:
  In this paper we study a parametric class of stochastic processes to model
both fast and slow anomalous diffusion. This class, called generalized grey
Brownian motion (ggBm), is made up off self-similar with stationary increments
processes (H-sssi) and depends on two real parameters alpha in (0,2) and beta
in (0,1]. It includes fractional Brownian motion when alpha in (0,2) and
beta=1, and time-fractional diffusion stochastic processes when alpha=beta in
(0,1). The latters have marginal probability density function governed by
time-fractional diffusion equations of order beta. The ggBm is defined through
the explicit construction of the underline probability space. However, in this
paper we show that it is possible to define it in an unspecified probability
space. For this purpose, we write down explicitly all the finite dimensional
probability density functions. Moreover, we provide different ggBm
characterizations. The role of the M-Wright function, which is related to the
fundamental solution of the time-fractional diffusion equation, emerges as a
natural generalization of the Gaussian distribution. Furthermore, we show that
ggBm can be represented in terms of the product of a random variable, which is
related to the M-Wright function, and an independent fractional Brownian
motion. This representation highlights the $H$-{\bf sssi} nature of the ggBm
and provides a way to study and simulate the trajectories. For this purpose, we
developed a random walk model based on a finite difference approximation of a
partial integro-differenital equation of fractional type.

categories: math-ph cond-mat.stat-mech math.MP math.PR


title: Mathematical Model of DSB formation by Ionizing Radiation

abstract:
  The understanding of inactivation radiobiological mechanism in individual
cells is important when from one side the application of ionizing radiation to
tumour therapy and from the other side the protection against radiation are to
be effectively improved. Important part of this mechanism is double-strand
break (DSB) formation; these DSB may be formed directly by impacting ionizing
particles or indirectly by different secondary radicals. The latter kind of
formation is much more frequent when cells contain normal water content.
Mathematical model of the corresponding chemical stage will be presented with
the aim to demonstrate how the individual radicals, but also other chemical
agents present in the water during irradiation may influence DSB formation.


title: Some applications of Ricci flow to 3-manifolds

abstract:
  We decribe and announce some results (joint with G. Besson, L. Bessieres, M.
Boileau and J.Porti) about the geometry and topology of 3-manifolds. Most of
the article is primarily intended as an introduction for nonexperts to
geometrization of 3-manifolds, Ricci flow with surgery, and the simplicial
volume approach to collapsing theorems. In the last section, Ricci flow with
surgery on open 3-manifolds and obstructions to positive scalar curvature are
discussed.


title:
The Semi Classical Maupertuis-Jacobi Correspondance for Quasi-Periodic
  Hamiltonian Flows

abstract:
  We extend to the semi-classical setting the Maupertuis-Jacobi correspondance
for a pair of hamiltonians $(H(x,hD_x), {\cal H}(x,hD_x)$. If ${\cal H}(p,x)$
is completely integrable, or has merely has invariant diohantine torus
$\Lambda$ in energy surface ${\cal E}$, then we can construct a family of
quasi-modes for $H(x,hD_x)$ at the corresponding energy $E$. This applies in
particular to the theory of water-waves in shallow water, and determines
trapped modes by an island, from the knowledge of Liouville metrics.


title:
Lattice cut-off effects and their reduction in studies of QCD
  thermodynamics at non-zero temperature and chemical potential

abstract:
  We clarify the relation between the improvement of dispersion relations in
the fermion sector of lattice regularized QCD and the improvement of bulk
thermodynamic observables. We show that in the infinite temperature limit the
cut-off dependence in dispersion relations can be eliminated up to O(a^n)
corrections, if the quark propagator is chosen to be rotationally invariant up
to this order. In bulk thermodynamic observables this eliminates cut-off
effects up to the same order at vanishing as well as non-vanishing chemical
potential. We furthermore show, that in the infinite temperature, ideal gas
limit the dependence of finite cut-off corrections on the chemical potential is
given by Bernoulli polynomials which are universal as they do not depend on a
particular discretization scheme. We explicitly calculate leading and
next-to-leading order cut-off corrections for some staggered and Wilson fermion
type actions and compare these with exact evaluations of the free fermion
partition functions. This also includes the chirally invariant overlap and
domain wall fermion formulations.


title: A theorem on the cores of partitions

abstract:
  If s and t are relatively prime positive integers we show that the s-core of
a t-core partition is again a t-core partition


title:
Short-fragment Na-DNA dilute aqueous solutions: fundamental length
  scales and screening

abstract:
  Dielectric spectroscopy is used to investigate fundamental length scales of
146 bp short-fragment (nucleosomal) dilute Na-DNA solutions. Two relaxation
modes are detected: the high- and the low-frequency mode. Dependence of the
corresponding length scales on the DNA and on the (uni-valent) salt
concentration is studied in detail, being different from the case of long,
genomic DNA, investigated before. In low added salt regime, the length scale of
the high-frequency mode scales as the average separation between DNAs, though
it is smaller in absolute magnitude, whereas the length scale of the
low-frequency mode is equal to the contour length of DNA. These fundamental
length scales in low added salt regime do not depend on whether DNA is in a
double stranded or single stranded form. On the other hand, with increasing
added salt, the characteristic length scale of low-frequency mode diminishes at
low DNA concentrations probably due to dynamical formation of denaturation
bubbles and/or fraying in the vicinity of DNA denaturation threshold.


title: The dynamically asymmetric SQUID: M\"unchhausen effect

abstract:
  We report on a complex zero-temperature decay channel of a classical object
in a metastable state coupled to a quantum degree of freedom. This setting can
be realized in a dc-SQUID where both Josephson-junctions have identical
critical currents I_c but feature strongly asymmetric dynamical parameters;
more precisely, selecting both parameters C and 1/R adequately large for one
and small for the other junction makes the first junction behave essentially
classical but lets quantum effects be present for the second one. The decay
process is initiated by the tunneling of the quantum junction, which distorts
the trapping potential of the classical junction; the metastable state of the
latter then becomes unstable if the distortion is large enough. We present the
dynamical phase diagram of this system providing the dependence of this decay
channel on the external bias current I and on the coupling strength between the
two junctions, determined by the loop inductance L.


title: Large rapidity gaps survival probabilities at LHC

abstract:
  We calculate the probability of large rapidity gaps in high energy hadronic
collisions using a model based on QCD mini-jets and soft gluon emission down
into the infrared region. Comparing with other models we find a remarkable
agreement among most predictions.


title: New Analysis of SUSY Dark Matter Scenarios at ILC

abstract:
  Applying realistic veto efficiencies for the low angle electromagnetic
calorimeter located in the very forward direction of the future international
linear collider, we revisited the Standard Model background contributions
studied previously in stau analyses with supersymmetrical dark matter
scenarios.


title:
Temporal variability and statistics of the Strehl ratio in
  adaptive-optics images

abstract:
  We have investigated the temporal variability and statistics of the
"instantaneous" Strehl ratio. The observations were carried out with the 3.63-m
AEOS telescope equipped with a high-order adaptive optics system. In this paper
Strehl ratio is defined as the peak intensity of a single short exposure. We
have also studied the behaviour of the phase variance computed on the
reconstructed wavefronts. We tested the Marechal approximation and used it to
explain the observed negative skewness of the Strehl ratio distribution. The
estimate of the phase variance is shown to fit a three-parameter Gamma
distribution model. We show that simple scaling of the reconstructed wavefronts
has a large impact on the shape of the Strehl ratio distribution.


title: Low mass diffractive systems at LHC

abstract:
  A rapidity gap trigger for the ALICE detector at the Large Hadron Collider
LHC is presented and a few selected physics observables are discussed. First,
some properties of double pomeron events are outlined. Second, signatures of
the odderon in diffractive J/Psi production is discussed. Third, possible
evidence of gluon saturation in the cross section of diffractive heavy quark
photoproduction is investigated.


title: Constraints on brane inflation from WMAP3

abstract:
  Considerable and ongoing effort is made to identify promising scalar field
candidates in string theory to drive a cosmological period of inflation. At
stake is the possibility that fundamental string parameters could be encoded in
observables such as the CMB perturbation spectrum. In this contribution, we
hold a concrete model of string inflation (KKLMMT) up against WMAP3 and discuss
the constraints obtained.


title: Discrete symmetries of chaotic strings

abstract:
  Chaotic strings are particular classes of coupled map lattices that can serve
as models for vacuum fluctuations in stochastically quantized field theories.
They have been previously shown to distinguish standard model coupling
parameters as corresponding to states of strongest possible chaotic behaviour
and vanishing nearest-neighbour correlation. In this paper we look at discrete
symmetry transformations for chaotic strings. We show that several of the
chaotic string dynamics can be transformed into each other by simple discrete
coordinate transformations. We investigate how expectation values converge in
the various coupling parameter regions and single out those stable zeros of the
correlation function that correspond to ergodic states with well-defined
convergence properties.


title:
Controllability of the discrete-spectrum Schrodinger equation driven by
  an external field

abstract:
  We prove approximate controllability of the bilinear Schr\"odinger equation
in the case in which the uncontrolled Hamiltonian has discrete non-resonant
spectrum. The results that are obtained apply both to bounded or unbounded
domains and to the case in which the control potential is bounded or unbounded.
The method relies on finite-dimensional techniques applied to the Galerkin
approximations and permits, in addition, to get some controllability properties
for the density matrix. Two examples are presented: the harmonic oscillator and
the 3D well of potential, both controlled by suitable potentials.


title: Light and Motion in SDSS Stripe 82: The Catalogues

abstract:
  We present a new public archive of light-motion curves in Sloan Digital Sky
Survey (SDSS) Stripe 82, covering 99 deg in right ascension from RA = 20.7 h to
3.3 h and spanning 2.52 deg in declination from Dec = -1.26 to 1.26 deg, for a
total sky area of ~249 sq deg. Stripe 82 has been repeatedly monitored in the
u, g, r, i and z bands over a seven-year baseline. Objects are cross-matched
between runs, taking into account the effects of any proper motion. The
resulting catalogue contains almost 4 million light-motion curves of stellar
objects and galaxies. The photometry are recalibrated to correct for varying
photometric zeropoints, achieving ~20 mmag and ~30 mmag root-mean-square (RMS)
accuracy down to 18 mag in the g, r, i and z bands for point sources and
extended sources, respectively. The astrometry are recalibrated to correct for
inherent systematic errors in the SDSS astrometric solutions, achieving ~32 mas
and ~35 mas RMS accuracy down to 18 mag for point sources and extended sources,
respectively.
  For each light-motion curve, 229 photometric and astrometric quantities are
derived and stored in a higher-level catalogue. On the photometric side, these
include mean exponential and PSF magnitudes along with uncertainties, RMS
scatter, chi^2 per degree of freedom, various magnitude distribution
percentiles, object type (stellar or galaxy), and eclipse, Stetson and Vidrih
variability indices. On the astrometric side, these quantities include mean
positions, proper motions as well as their uncertainties and chi^2 per degree
of freedom. The here presented light-motion curve catalogue is complete down to
r~21.5 and is at present the deepest large-area photometric and astrometric
variability catalogue available.


title: The relic density of shadow dark matter candidates

abstract:
  We present the results of relic density calculations for cold dark matter
candidates coming from a model of dark energy and dark matter, which is
described by an asymptotically free gauge group SU(2)_Z (QZD) with a coupling
constant alpha_Z ~ 1 at very low scale of Lambda_Z ~ 10^(-3) eV while alpha_Z ~
weak coupling at high energies. The dark matter candidates of QZD are two
fermions in the form of weakly interacting massive particles. Our results show
that for masses between 50 and 285 GeV, they can account for either a
considerable fraction or the entire dark matter of the Universe.


title: Asymmetry of recoil protons in neutron beta-decay

abstract:
  A complete analysis of proton recoil asymmetry in neutron decay in the first
order of radiative and recoil corrections is presented. The possible
contributions from new physics are calculated in terms of low energy coupling
constants, and the sensitivity of the measured asymmetry to models beyond the
Standard model are discussed.


title:
The Need For High Resolution In Studies Of The 3-D Magnetic Field
  Structure Of AGN Jets

abstract:
  We are using "broadband" (4.6 to 43 GHz) multi-frequency VLBA polarization
observations of compact AGN to investigate the 3-D structure of their jet
magnetic (B) fields. Observing at several frequencies, separated by short and
long intervals, enables reliable determination of the distribution of Faraday
Rotation, and thereby the intrinsic B field structure. Transverse Rotation
Measure (RM) gradients were detected in the jets of 0954+658 and 1418+546,
providing evidence for the presence of a helical B field surrounding the jet.
The RM in the core regions of 2200+420 (BL Lac), 0954+658 and 1418+546 display
different signs in different frequency-intervals (on different spatial scales);
we suggest an explanation for this in terms of modest bends in a helical B
field surrounding their jets. In future, polarization observations with a
combination of VSOP-2 at 8, 22 and 43 GHz and ground arrays at frequencies with
corresponding resolution will help map out the distributions of Faraday
rotation, spectral index and the 3-D B field structure both across the jet and
closer to the central engine, providing strong constraints for any jet B field
models.


title: Singlet-Triplet Relaxation in Two-electron Silicon Quantum Dots

abstract:
  We investigate the singlet-triplet relaxation process of a two electron
silicon quantum dot. In the absence of a perpendicular magnetic field, we find
that spin-orbit coupling is not the main source of singlet-triplet relaxation.
Relaxation in this regime occurs mainly via virtual states and is due to
nuclear hyperfine coupling. In the presence of an external magnetic field
perpendicular to the plane of the dot, the spin-orbit coupling is important and
virtual states are not required. We find that there can be strong anisotropy
for different field directions: parallel magnetic field can increase
substantially the relaxation time due to Zeeman splitting, but when the
magnetic field is applied perpendicular to the plane, the enhancement of the
spin-orbit effect shortens the relaxation time. We find the relaxation to be
orders of magnitude longer than for GaAs quantum dots, due to weaker hyperfine
and spin-orbit effects.


title:
Pointwise Green function bounds and long-time stability of
  large-amplitude noncharacteristic boundary layers

abstract:
  Using pointwise semigroup techniques of Zumbrun--Howard and Mascia--Zumbrun,
we obtain sharp global pointwise Green function bounds for noncharacteristic
boundary layers of arbitrary amplitude. These estimates allow us to analyze
linearized and nonlinearized stability of noncharacteristic boundary layers of
one-dimensional systems of conservation laws, showing that both are equivalent
to a numerically checkable Evans function condition. Our results extend to the
large-amplitude case results obtained for small amplitudes by Matsumura,
Nishihara and others using energy estimates.


title:
Extinction of an infectious disease: a large fluctuation in a
  non-equilibrium system

abstract:
  We develop a theory of first passage processes in stochastic non-equilibrium
systems of birth-death type using two closely related epidemiological models as
examples. Our method employs the probability generating function technique in
conjunction with the eikonal approximation. In this way the problem is reduced
to finding the optimal path to extinction: a heteroclinic trajectory of an
effective multi-dimensional classical Hamiltonian system. We compute this
trajectory and mean extinction time of the disease numerically and uncover a
non-monotone, spiral path to extinction of a disease. We also obtain analytical
results close to a bifurcation point, where the problem is described by a
Hamiltonian previously identified in one-species population models.


title: On the Determination of the Rotational Oblateness of Achernar

abstract:
  The recent interferometric study of Achernar, leading to the conclusion that
its geometrical oblateness cannot be explained in the Roche approximation, has
stirred substantial interest in the community, in view of its potential impact
in many fields of stellar astrophysics. It is the purpose of this paper to
reinterpret the interferometric observations with a fast rotating, gravity
darkened central star surrounded by a small equatorial disk, whose presence is
consistent with contemporaneous spectroscopic data. We find that we can only
fit the available data assuming a critically rotating central star. We
identified two different disk models that simultaneously fit the spectroscopic,
polarimetric, and interferometric observational constraints: a tenuous disk in
hydrostatic equilibrium (i.e., with small scaleheight) and a smaller,
scaleheight enhanced disk. We believe that these relatively small disks
correspond to the transition region between the photosphere and the
circumstellar environment, and that they are probably perturbed by some
photospheric mechanism. The study of this interface between photosphere and
circumstellar disk for near-critical rotators is crucial to our understanding
of the Be phenomenon, and the mass and angular momentum loss of stars in
general. This work shows that it is nowadays possible to directly study this
transition region from simultaneous multi-technique observations.


title: Disease extinction in the presence of non-Gaussian noise

abstract:
  We investigate stochastic extinction in an epidemic model and the impact of
random vaccinations in large populations. We show that, in the absence of
vaccinations, the effective entropic barrier for extinction displays scaling
with the distance to the bifurcation point, with an unusual critical exponent.
Even a comparatively weak Poisson-distributed vaccination leads to an
exponential increase in the extinction rate, with the exponent that strongly
depends on the vaccination parameters.


title: Strong Anisotropic MHD Turbulence with Cross Helicity

abstract:
  This paper proposes a new phenomenology for strong incompressible MHD
turbulence with nonzero cross helicity. This phenomenology is then developed
into a quantitative Fokker-Planck model that describes the time evolution of
the anisotropic power spectra of the fluctuations propagating parallel and
anti-parallel to the background magnetic field. It is found that in steady
state the power spectra of the magnetic field and total energy are steeper than
a Kolmogorov spectrum and become increasingly steep as C/E increases, where C
is the cross helicity and E is the fluctuation energy. Increasing C with fixed
E increases the time required for energy to cascade to smaller scales, reduces
the cascade power, and increases the anisotropy of the small-scale
fluctuations. The implications of these results for the solar wind and solar
corona are discussed in some detail.


title: Two- and Three-Particle Jet-Like Correlations

abstract:
  We present results of 2-particle jet-like correlations, with high pT h+-
triggers and identified pi+-, p, and pbar triggers in d+Au and Au+Au collisions
and 3-particle jet-like azimuthal correlations in pp, d+Au, and Au+Au
collisions at sqrt(s)=200 GeV. These results use data from the STAR TPC during
RHIC runs II, III, and IV. Modifications in 2-particle correlations are
observed in Au+Au collisions. These modifications are not seen in $pp$ or d+Au
collisions. This demonstrates that the modifications are due to final state
nuclear effects. High pT protons, anti-protons and charged pions are identified
by the relativistic rise of dE/dx in the STAR TPC. Correlations of charged
hadrons with high pT p, pbar, and pi+- show no discernible difference. The
results post challenges to recombination and coalescence models which are
otherwise very successful in explaining the large baryon/meson ratio and the
splitting of the elliptic flow at intermediate pT. In central Au+Au collisions,
the away-side 2-particle correlation is significantly broadened and even double
humped in selective kinematic ranges. Three-particle correlations were employed
to identify the underlying physics mechanism(s). Results in pp, d+Au and
peripheral Au+Au collisions show dijet structure with away-side kT broadening.
Results in mid-central and central Au+Au collisions are consistent with a
near-side jet and on the away-side a combination of conical emission and large
angle gluon radiation and deflected jets. The associated pT independent
emission angle suggests Mach-cone shock waves being the underlying physics
mechanism for the conical emission. The emission angle is measured to be
1.39+-0.01 (stat.)+-0.04(sys.) in ZDC triggered 0-12% Au+Au data.


title: Muon g-2: a mini review

abstract:
  The current status of the experimental measurements and theoretical
predictions of the anomalous magnetic moment of the muon $a_\mu$ is briefly
reviewed. The emphasis is put on the evaluation of the hadronic contribution to
$a_\mu$ as it has the largest uncertainty among all Standard Model
contributions. The precision of the hadronic contribution is driven by the
input e+e- data predominantly from the \pi+pi- channel. Including the latest
experimental data on e+e- annihilation into hadronsfrom CMD2 and SND for the
\pi+\pi- channel and BaBar for multihadron final states, the updated Standard
Model prediction disagrees with the measurement dominated by BNL by 3.3
standard deviations, with the theoretical precision exceeding the experimental
one.


title: An atlas of synthetic line profiles of planetary nebulae

abstract:
  We have constructed a grid of photoionization models of spherical, elliptical
and bipolar planetary nebulae. Assuming different velocity fields, we have
computed line profiles corresponding to different orientations, slit sizes and
positions. The atlas is meant both for didactic purposes and for the
interpretation of data on real nebulae. As an application, we have shown that
line profiles are often degenerate, and that recovering the geometry and
velocity field from observations requires lines from ions with different masses
and different ionization potentials. We have also shown that the empirical way
to measure mass-weighted expansion velocities from observed line widths is
reasonably accurate if considering the HWHM. For distant nebulae, entirely
covered by the slit, the unknown geometry and orientation do not alter the
measured velocities statistically. The atlas is freely accessible from
internet. The Cloudy_3D suite and the associated VISNEB tool are available on
request.


title: N=3 Superparticle Model

abstract:
  We consider the formulation and quantization of the N=3 superparticle model,
both with and without central charge. Without the central charge the action
possesses U(3) invariance and therefore is naturally quantized in the N=3
harmonic superspace. The quantization reproduces the N=3 supergauge strength
multiplets, described by analytic N=3 superfields and a gravitino multiplet as
a constrained N=3 chiral superfield. When the central charge is present, it
breaks the U(3) R-symmetry of N=3 superalgebra down to SU(2)xU(1), and the
corresponding superparticle model is formulated in the N=2 harmonic superspace
extended by a pair of extra Grassmann variables. The quantization of such a
model leads to the massive BPS N=3 vector multiplet. It is shown that upon
additional superfield constraints such multiplet reduces to the massive N=2
vector multiplet.


title: Electroweak results from HERA

abstract:
  The inclusive neutral and charged current deep inelastic scattering processes
at high Q2 provide the main basis for electroweak studies at HERA. These
studies include the determination of the W boson propagator mass and weak
neutral current couplings of light quarks to the Z0 boson. The polarised
electron or positron beam at HERA II gives rise to additional sensitivities for
these studies. Exceptions also exist; this is the case for the single W
production.


title: Optical Lattices: Theory

abstract:
  This chapter presents an overview of the properties of a Bose-Einstein
condensate (BEC) trapped in a periodic potential. This system has attracted a
wide interest in the last years, and a few excellent reviews of the field have
already appeared in the literature (see, for instance, [1-3] and references
therein). For this reason, and because of the huge amount of published results,
we do not pretend here to be comprehensive, but we will be content to provide a
flavor of the richness of this subject, together with some useful references.
On the other hand, there are good reasons for our effort. Probably, the most
significant is that BEC in periodic potentials is a truly interdisciplinary
problem, with obvious connections with electrons in crystal lattices, polarons
and photons in optical fibers. Moreover, the BEC experimentalists have reached
such a high level of accuracy to create in the lab, so to speak, paradigmatic
Hamiltonians, which were first introduced as idealized theoretical models to
study, among others, dynamical instabilities or quantum phase transitions.


title: Bulk emission of scalars by a rotating black hole

abstract:
  We study in detail the scalar-field Hawking radiation emitted into the bulk
by a higher-dimensional, rotating black hole. We numerically compute the
angular eigenvalues, and solve the radial equation of motion in order to find
transmission factors. The latter are found to be enhanced by the angular
momentum of the black hole, and to exhibit the well-known effect of
superradiance. The corresponding power spectra for scalar fields show an
enhancement with the number of dimensions, as in the non-rotating case. We
compute the total mass loss rate of the black hole for a variety of black-hole
angular momenta and bulk dimensions, and find that, in all cases, the bulk
emission remains significantly smaller than the brane emission. The
angular-momentum loss rate is also computed and found to have a smaller value
in the bulk than on the brane. We present accurate bulk-to-brane emission
ratios for a range of scenarios.


title: On the Double Coset Membership Problem for Permutation Groups

abstract:
  We show that the Double Coset Membership problem for permutation groups
possesses perfect zero-knowledge proofs.


title:
Deconstructing Disk Velocity Distribution Functions in the Disk-Mass
  Survey

abstract:
  We analyze integral-field ionized gas and stellar line-of-sight kinematics in
the context of determining the stellar velocity ellipsoid for spiral galaxies
observed by the Disk-Mass Survey. Our new methodology enables us to measure,
for the first time, a radial gradient in the ellipsoid ratio sigma_z / sigma_R.
Random errors in this decomposition are 15% at two disk scale-lengths.


title: Magnetic Monopole Search at high altitude with the SLIM experiment

abstract:
  The SLIM experiment was a large array of nuclear track detectors located at
the Chacaltaya high altitude Laboratory (5230 m a.s.l.). The detector was in
particular sensitive to Intermediate Mass Magnetic Monopoles, with masses 10^5
< M <10^{12} GeV. From the analysis of the full detector exposed for more than
4 years a flux upper limit of 1.3 x 10^{-15} cm^{-2} s^{-1} sr^{-1} for
downgoing fast Intermediate Mass Monopoles was established at the 90% C.L.


title: Time-fractional derivatives in relaxation processes: a tutorial survey

abstract:
  The aim of this tutorial survey is to revisit the basic theory of relaxation
processes governed by linear differential equations of fractional order. The
fractional derivatives are intended both in the Rieamann-Liouville sense and in
the Caputo sense. After giving a necessary outline of the classical theory of
linear viscoelasticity, we contrast these two types of fractional derivatives
in their ability to take into account initial conditions in the constitutive
equations of fractional order. We also provide historical notes on the origins
of the Caputo derivative and on the use of fractional calculus in
viscoelasticity.

categories: math-ph cond-mat.stat-mech math.DS math.MP


title:
The horizontal internetwork magnetic field: numerical simulations in
  comparison to observations with Hinode

abstract:
  Observations with the Hinode space observatory led to the discovery of
predominantly horizontal magnetic fields in the photosphere of the quiet
internetwork region. Here we investigate realistic numerical simulations of the
surface layers of the Sun with respect to horizontal magnetic fields and
compute the corresponding polarimetric response in the Fe I 630 nm line pair.
We find a local maximum in the mean strength of the horizontal field component
at a height of around 500 km in the photosphere, where it surpasses the
vertical component by a factor of 2.0 or 5.6, depending on the initial and
boundary conditions. From the synthesized Stokes profiles we derive a mean
horizontal field component that is, respectively, 1.6 and 4.3 times stronger
than the vertical component. This is a consequence of both the intrinsically
stronger flux density of, and the larger area occupied by the horizontal
fields. We find that convective overshooting expels horizontal fields to the
upper photosphere, making the Poynting flux positive in the photosphere, while
this quantity is negative in the convectively unstable layer below it.


title:
Enhancement of ferromagnetism by Co and Ni substitution in the
  perovskite LaBiMn2O6+d

abstract:
  The substitution of cobalt and nickel for manganese in the perovskite
manganate LaBiMn2O6+d; has been realized, leading to the perovskites
LaBiMn2-x(M)xO6+d, with M = Co, Ni and x =0-2/3. In contrast to the literature
those phases are found to be orthorhombic with Pnma symmetry. More importantly,
it is shown that ferromagnetism is enhanced, TC being increased from 80 K for
the parent compound (x = 0) to 97 K for Ni-phase, and to 130 K for the
Co-phase. Moreover, a strong competition between ferromagnetism and a
glassy-ferromagnetic state in the case of nickel or a spin-glass behaviour in
the case of cobalt is observed. These phenomena are interpreted in the frame of
a phase separation scenario, where the ferromagnetic Mn4+/Ni2+ and Mn4+/Co2+
interactions reinforce the Mn3+/Mn4+ interactions. These compounds are found to
be insulating with a relatively large positive value of thermoelectric power.


title: Zero-Knowledge Proofs of the Conjugacy for Permutation Groups

abstract:
  We design a perfect zero-knowledge proof system for recognition if two
permutation groups are conjugate.


title: Reply to the Comment on "Anyonic Braiding in Optical Lattices"

abstract:
  This is the reply to the comment arXiv:0801.4620 by Vidal, Dusuel, and
Schmidt.


title:
Onset of Deconfinement and Critical Point: NA49 and NA61/SHINE at the
  CERN SPS

abstract:
  This paper is dedicated to the memory of Jozsef Zimanyi one of the founders
of the experiment NA49 at the CERN SPS. Firstly, the paper summarizes the main
results of NA49 concerning observation of the onset of deconfinement in central
Pb+Pb collisions at the low SPS energies. Secondly, it sketches the physics
program of NA61 at the CERN SPS, the successor of NA49, which in particular
aims to discover the critical point of strongly interacting matter. Finaly, a
brief review of the future experimental programs in the CERN SPS energy range
is given.


title: Laser calibration system for the CERES Time Projection Chamber

abstract:
  A Nd:YAG laser was used to simulate charged particle tracks at known
positions in the CERES Time Projection Chamber at the CERN SPS. The system was
primarily developed to study the response of the readout electronics and to
calibrate the electron drift velocity. Further applications were the
determination of the gating grid transparency, the chamber position
calibration, and long-term monitoring of drift properties of the gas in the
detector.


title: Phase Transitions in Charged Topological-AdS Black Holes

abstract:
  We study the perturbative behaviour of charged topological-AdS black holes.
We calculate both analytically and numerically the quasi-normal modes of the
electromagnetic and gravitational perturbations. Keeping the charge-to-mass
ratio constant, we show that there is a second-order phase transition at a
critical temperature at which the mass of the black hole vanishes. We pay
special attention to the purely dissipative modes appearing in the spectrum as
they behave singularly at the critical point.


title: Quantum Teichmuller theory and representations of the pure braid group

abstract:
  We adapt some of the methods of quantum Teichm\"uller theory to construct a
family of representations of the pure braid group of the sphere.


title: The dual geometry of Boolean semirings

abstract:
  It is well known that the variety of Boolean semirings, which is generated by
the three element semiring S, is dual to the category of partially Stone
spaces. We place this duality in the context of natural dualities. We begin by
introducing a topological structure \uS and obtain an optimal natural duality
between the quasi-variety ISP(S) and the category IS_cP+(\uS). Then we
construct an optimal and very small structure \uS_os that yields a strong
duality. The geometry of some of the partially Stone spaces that take part in
these dualities is presented, and we call them "hairy cubes", as they are
n-dimensional cubes with unique incomparable covers for each element of the
cube. We also obtain a polynomial representation for the elements of the hairy
cube.


title: Population III Star Formation and IMF

abstract:
  We review recent 3D cosmological hydrodynamic simulations of primordial star
formation from cosmological initial conditions (Pop III.1) and from initial
conditions that have been altered by radiative feedback from stellar sources
(Pop III.2). We concentrate on simulations that resolve the formation of the
gravitationally unstable cloud cores in mini-halos over the mass range $10^5 <
M/\Msun < 10^7 $ and follow their evolution to densities of at least $10^{10}
\cmm3$ and length scales of $<10^{-2}$ pc such that accretion rates can be
estimated. The advent of ensembles of such simulations exploring a variety of
conditions permits us to assess the robustness of the standard model for Pop
III.1 star formation and investigate scatter in their formation redshifts and
accretion rates, thereby providing much needed information about the Pop III
IMF. The simulations confirm the prediction that Pop III.1 stars were massive
($\sim 100 \Msun$), and form in isolation in primordial mini-halos. Simulations
of Pop III.2 star forming in relic HII regions suggest somewhat lower masses
($\sim 30 \Msun$) which may help explain the chemical abundances of extremely
metal poor stars. We note that no 3D simulation at present has achieved stellar
density let alone followed the entire accretion history of the star in any
scenario, and thus the IMF of Pop III stars remains poorly determined
theoretically.


title: Non-adiabatic two-parameter charge and spin pumping in a quantum dot

abstract:
  We study DC charge and spin transport through a weakly coupled quantum dot,
driven by a non-adiabatic periodic change of system parameters. We generalize
the model of Tien and Gordon to simultaneously oscillating voltages and tunnel
couplings. When applying our general result to the two-parameter charge pumping
in quantum dots, we find interference effects between the oscillations of the
voltage and tunnel couplings. Furthermore, we discuss the possibility to
electrically pump a spin current in presence of a static magnetic field.


title:
Host Galaxy Extinction of SNIa: Co-evolution of ISM Structure and
  Extinction Law with Star-Formation

abstract:
  This paper presents a mechanism that may modify the extinction law for SNIa
observed at higher redshift. Starting from the observations that (1) SNIa occur
predominantly in spiral galaxies, (2) star-formation ejects ISM out of the
plane of spirals, (3) star-formation alters the extinction properties of the
dust in the ISM, and (4) there is substantially more star-formation at higher
redshift, I propose that spiral galaxies have a dustier halo in the past than
they do now. The ejected material's lower value of $R_V$ will lead to a lower
average value ($\bar{R}_V$) for SNIa observed at higher redshift.
  Two relations in SNIa observations indicate evolution of the average $R_V$:
the relation of observed $R_V$ with inclination of the host galaxy at low
redshift and the matching of the distribution of extinction values ($A_V$) for
SNIa in different redshift intervals. The inclination effect does point to a
halo with lower $R_V$ values. In contrast, the distributions of $A_V$ values
match best for a $\bar{R}_V(z)$ evolution that mimics the relation of SNIa
dimming with redshift attributed to the cosmological constant. However, even in
the worse case scenario, the evolution $\bar{R}_V$ can not fully explain the
dimming of SNIa: host galaxy extinction law evolution is not a viable
alternative to account for the dimming of SNIa.
  Future observations of SNIa --multi-color lightcurves and spectra-- will
solve separately for values of $A_V$ and $R_V$ for each SNIa . Solving for
evolution of $\bar{R}_V$ (and $A_V$) with redshift will be important for the
coming generation of cosmological SNIa measurements and has the bonus science
of insight into the distribution of dust-rich ISM in the host galaxies in the
distant past.


title:
Precision Astrometry, Galactic Mergers, Halo Substructure and Local Dark
  Matter

abstract:
  The concordance Cold Dark Matter model for the formation of structure in the
Universe, while remarkably successful at describing observations on large
scales, has a number of problems on galaxy scales. The Milky Way and its
satellite system provide a key laboratory for exploring dark matter (DM) in
this regime, but some of the most definitive tests of local DM await
microarcsecond astrometry, such as will be delivered by the Space
Interferometry Mission (SIM Planetquest). I discuss several tests of Galactic
DM enabled by future microarcsecond astrometry.


title: Bijections between pattern-avoiding fillings of Young diagrams

abstract:
  The pattern-avoiding fillings of Young diagrams we study arose from
Postnikov's work on positive Grassman cells. They are called Le-diagrams, and
are in bijection with decorated permutations. Other closely-related diagrams
are interpreted as acyclic orientations of some bipartite graphs. The
definition of the diagrams is the same but the avoided patterns are different.
We give here bijections proving that the number of pattern-avoiding filling of
a Young diagram is the same, for these two different sets of patterns. The
result was obtained by Postnikov via a reccurence relation. This relation was
extended by Spiridonov to obtain more general results about other patterns and
other polyominoes than Young diagrams, and we show that our bijections also
extend to more general polyominoes.


title: Identification of a Scalar Glueball

abstract:
  We have performed a coupled channel study of the meson-meson S-waves
involving isospins (I) 0, 1/2 and 3/2 up to 2 GeV. For the first time the
channels \pi\pi, K\bar{K}, \eta\eta, \sigma\sigma, \eta\eta', \eta'\eta',
\rho\rho, \omega\omega, \omega\phi$, \phi\phi, a_1\pi and \pi^*\pi are
considered. All the resonances with masses below 2 GeV for I=0 and 1/2 are
generated by the approach. We identify the f_0(1710) and a pole at 1.6 GeV,
which is an important contribution to the f_0(1500), as glueballs. This is
based on an accurate agreement of our results with predictions of lattice QCD
and the chiral suppression of the coupling of a scalar glueball to \bar{q}q.
Another nearby pole, mainly corresponding to the f_0(1370), is a pure octet
state not mixed with the glueball.


title:
Control-limited perfect state transfer, quantum stochastic resonance and
  many-body entangling gate in imperfect qubit registers

abstract:
  We propose a protocol for perfect quantum state transfer that is resilient to
a broad class of realistic experimental imperfections, including noise sources
that could be modelled either as independent Markovian baths or as certain
forms of spatially correlated environments. We highlight interesting
connections between the fidelity of state transfer and quantum stochastic
resonance effects. The scheme is flexible enough to act as an effective
entangling gate for the generation of genuine multipartite entanglement in a
control-limited setting. Possible experimental implementations using
superconducting qubits are also briefly discussed.


title:
A Simple Proof of the Kochen-Specker Theorem on the Problem of Hidden
  Variables

abstract:
  In this talk I present a simple derivation of an old result of Kochen and
Specker, which is apparently unrelated to the famous work of Bell on hidden
variables, but is presumably equally important. Kochen and Specker showed in
1967 that quantum mechanics cannot be embedded into a classical stochastic
theory, provided the quantum theoretical probability distributions are
reproduced and one additional highly desirable property is satisfied. This
showed in a striking manner what were the difficulties in implementing the
Einstein programme of a `complete' version of quantum mechanics.


title: An invariant set in energy space for supercritical NLS in 1D

abstract:
  We consider radial solutions of a mass supercritical monic NLS and we prove
the existence of a set, which looks like a hypersurface, in the space of finite
energy functions, invariant for the flow and formed by solutions which converge
to ground states.


title: On time-dependent orbital complexity in gravitational N-body simulations

abstract:
  We implement an efficient method to quantify time-dependent orbital
complexity in gravitational $N$-body simulations. The technique, which we name
DWaTIM, is based on a discrete wavelet transform of velocity orbital time
series. The wavelet power-spectrum is used to measure trends in complexity
continuously in time. We apply the method to the test cases N=3 Pythagorean-
and a perturbed N=5 Caledonian configurations. The method recovers the
well-known time-dependent complexity of the dynamics in these small-$N$
problems. We then apply the technique to an equal-mass collisional N=256 body
simulation ran through core-collapse. We find that a majority of stars evolve
on relatively complex orbits up to the time when the first hard binary forms,
whereas after core-collapse, less complex orbits are found on the whole as a
result of expanding mass shells.


title: How peculiar is the "peculiar variable" DZ Crucis (Nova Cru 2003)?

abstract:
  The variable star DZ Cru was thought to be a nova when it was discovered in
eruption in 2003 August. This explanation was later challenged, however, when
the first spectra of the object were reported. We present near infrared
spectroscopy of DZ Cru obtained at the New Technology Telescope on 3 occasions,
starting 1.5 years after outburst, with the aim of establishing the nature of
the object. The spectra display H I, O I, [N I] emission lines, together with
He I P Cygni lines superposed on a dust continuum. These observations suggest
the "peculiar variable in Crux'' is a classical nova.


title:
Incompressible flow around a small obstacle and the vanishing viscosity
  limit

abstract:
  In this article we consider viscous flow in the exterior of an obstacle
satisfying the standard no-slip boundary condition at the surface of the
obstacle. We seek conditions under which solutions of the Navier-Stokes system
in the exterior domain converge to solutions of the Euler system in the full
space when both viscosity and the size of the obstacle vanish. We prove that
this convergence is true assuming two hypothesis: first, that the initial
exterior domain velocity converges strongly in $L^2$ to the full-space initial
velocity and second, that the diameter of the obstacle is smaller than a
suitable constant times viscosity, or, in other words, that the obstacle is
sufficiently small. The convergence holds as long as the solution to the limit
problem is known to exist and stays sufficiently smooth. This work complements
the study of incompressible flow around small obstacles, which has been carried
out in [1,2,3]
  [1] D. Iftimie and J. Kelliher, {\it Remarks on the vanishing obstacle limit
for a 3D viscous incompressible fluid.} Preprint available at
http://math.univ-lyon1.fr/~iftimie/ARTICLES/viscoushrink3d.pdf .
  [2] D. Iftimie, M. C. Lopes Filho, and H. J. Nussenzveig Lopes. {\it Two
dimensional incompressible ideal flow around a small obstacle.} Comm. Partial
Differential Equations {\bf 28} (2003), no. 1-2, 349--379.
  [3] D. Iftimie, M. C. Lopes Filho, and H. J. Nussenzveig Lopes. {\it Two
dimensional incompressible viscous flow around a small obstacle.} Math. Ann.
{\bf 336} (2006), no. 2, 449--489.


title:
Chemical Abundances of the Secondary Star in the Black Hole X-ray Binary
  XTE J1118+480

abstract:
  Following the recent abundance measurements of Mg, Al, Ca, Fe, and Ni in the
black hole X-ray binary XTE J1118+480 using medium-resolution Keck II/ESI
spectra of the secondary star (Gonz\'alez Hern\'andez et al. 2006), we perform
a detailed abundance analysis including the abundances of Si and Ti. These
element abundances, higher than solar, indicate that the black hole in this
system formed in a supernova event, whose nucleosynthetic products could
pollute the atmosphere of the secondary star, providing clues on the possible
formation region of the system, either Galactic halo, thick disk, or thin disk.
We explore a grid of explosion models with different He core masses,
metallicities, and geometries. Metal-poor models associated with a formation
scenario in the Galactic halo provide unacceptable fits to the observed
abundances, allowing us to reject a halo origin for this X-ray binary. The
thick-disk scenario produces better fits, although they require substantial
fallback and very efficient mixing processes between the inner layers of the
explosion and the ejecta, making quite unlikely an origin in the thick disk.
The best agreement between the model predictions and the observed abundances is
obtained for metal-rich progenitor models. In particular, non-spherically
symmetric models are able to explain, without strong assumptions of extensive
fallback and mixing, the observed abundances. Moreover, asymmetric mass
ejection in a supernova explosion could account for the required impulse
necessary to launch the system from its formation region in the Galactic thin
disk to its current halo orbit.


title: On mutation and Khovanov homology

abstract:
  It is conjectured that the Khovanov homology of a knot is invariant under
mutation. In this paper, we review the spanning tree complex for Khovanov
homology, and reformulate this conjecture using a matroid obtained from the
Tait graph (checkerboard graph) G of a knot diagram K. The spanning trees of G
provide a filtration and a spectral sequence that converges to the reduced
Khovanov homology of K. We show that the E_2-term of this spectral sequence is
a matroid invariant and hence invariant under mutation.


title:
Charged-Higgs effects in a new B -> D tau nu differential decay
  distribution

abstract:
  We show that the decay mode B -> D tau nu is competitive with and
complementary to B -> tau nu in the search for charged-Higgs effects. Updating
the relevant form factors, we find that the differential distribution in the
decay chain B -> D nu tau[-> pi nu] excellently discriminates between
Standard-Model and charged-Higgs contributions. By measuring the D and pi
energies and the angle between the D and pi three-momenta one can determine the
effective charged-Higgs coupling including a possible CP-violating phase.


title:
Bispectral commuting difference operators for multivariable Askey-Wilson
  polynomials

abstract:
  We construct a commutative algebra A_z, generated by d algebraically
independent q-difference operators acting on variables z_1, z_2,..., z_d, which
is diagonalized by the multivariable Askey-Wilson polynomials P_n(z) considered
by Gasper and Rahman [6]. Iterating Sears' transformation formula, we show that
the polynomials P_n(z) possess a certain duality between z and n. Analytic
continuation allows us to obtain another commutative algebra A_n, generated by
d algebraically independent difference operators acting on the discrete
variables n_1, n_2,..., n_d, which is also diagonalized by P_n(z). This leads
to a multivariable q-Askey-scheme of bispectral orthogonal polynomials which
parallels the theory of symmetric functions.


title:
Mean field dilute ferromagnet I. High temperature and zero temperature
  behavior

abstract:
  We study the mean field dilute model of a ferromagnet. We find and prove an
expression for the free energy density at high temperature, and at temperature
zero. We find the critical line of the model, separating the phase with zero
magnetization from the phase with symmetry breaking. We also compute exactly
the entropy at temperature zero, which is strictly positive. The physical
behavior at temperature zero is very interesting and related to infinite
dimensional percolation, and suggests possible behaviors at generic low
temperatures. Lastly, we provide a complete solution for the annealed model.
Our results hold both for the Poisson and the Bernoulli versions of the model.


title:
Hedging strategies and minimal variance portfolios for European and
  exotic options in a Levy market

abstract:
  This paper presents hedging strategies for European and exotic options in a
Levy market. By applying Taylor's Theorem, dynamic hedging portfolios are con-
structed under different market assumptions, such as the existence of power
jump assets or moment swaps. In the case of European options or baskets of
European options, static hedging is implemented. It is shown that perfect
hedging can be achieved. Delta and gamma hedging strategies are extended to
higher moment hedging by investing in other traded derivatives depending on the
same underlying asset. This development is of practical importance as such
other derivatives might be readily available. Moment swaps or power jump assets
are not typically liquidly traded. It is shown how minimal variance portfolios
can be used to hedge the higher order terms in a Taylor expansion of the
pricing function, investing only in a risk-free bank account, the underlying
asset and potentially variance swaps. The numerical algorithms and performance
of the hedging strategies are presented, showing the practical utility of the
derived results.


title:
Loop Quantum Gravity in Ashtekar and Lagrange-Finsler Variables and
  Fedosov Quantization of General Relativity

abstract:
  We propose an unified approach to loop quantum gravity and Fedosov
quantization of gravity following the geometry of double spacetime fibrations
and their quantum deformations. There are considered pseudo-Riemannian
manifolds enabled with 1) a nonholonomic 2+2 distribution defining a nonlinear
connection (N-connection) structure and 2) an Arnowitt-Deser-Misner 3+1
decomposition. The Ashtekar-Barbero variables are generalized and adapted to
the N-connection structure which allows us to write the general relativity
theory equivalently in terms of Lagrange-Finsler variables and related
canonical almost symplectic forms and connections. The Fedosov results are
re-defined for gravitational gauge like connections and there are analyzed the
conditions when the star product for deformation quantization is computed in
terms of geometric objects in loop quantum gravity. We speculate on equivalence
of quantum gravity theories with 3+1 and 2+2 splitting and quantum analogs of
the Einstein equations.


title: The Impact of Transit Observations on Planetary Physics

abstract:
  We highlight the importance of transit observations on understanding the
physics of planetary atmospheres and interiors. Transmission spectra and
emission spectra allow us to characterize this exotic atmospheres, which
possess TiO, VO, H2O, CO, Na, and K, as principal absorbers. We calculate
mass-radius relations for water-rock-iron and gas giant planets and examine
these relations in light of current and future transit observations. A brief
review is given of mechanisms that could lead to the large radii observed for
some transiting planets.


title: What are the interactions in quantum glasses?

abstract:
  The form of the low-temperature interactions between defects in neutral
glasses is reconsidered. We analyse the case where the defects can be modelled
either as simple 2-level tunneling systems, or tunneling rotational impurities.
The coupling to strain fields is determined up to 2nd order in the displacement
field. It is shown that the linear coupling generates not only the usual
$1/r^3$ Ising-like interaction between the rotational tunneling defect modes,
which cause them to freeze around a temperature $T_G$, but also a random field
term. At lower temperatures the inversion symmetric tunneling modes are still
active - however the coupling of these to the frozen rotational modes, now via
the 2nd-order coupling to phonons, generates another random field term acting
on the inversion symmetric modes (as well as shorter-range $1/r^5$ interactions
between them). Detailed expressions for all these couplings are given.


title:
Impurity-Ion pair induced high-temperature ferromagnetism in Co-doped
  ZnO

abstract:
  Magnetic 3d-ions doped into wide-gap oxides show signatures of room
temperature ferromagnetism, although their concentration is two orders of
magnitude smaller than that in conventional magnets. The prototype of these
exceptional materials is Co-doped ZnO, for which an explanation of the room
temperature ferromagnetism is still elusive. Here we demonstrate that magnetism
originates from Co2+ oxygen-vacancy pairs with a partially filled level close
to the ZnO conduction band minimum. The magnetic interaction between these
pairs is sufficiently long-ranged to cause percolation at moderate
concentrations. However, magnetically correlated clusters large enough to show
hysteresis at room temperature already form below the percolation threshold and
explain the current experimental findings. Our work demonstrates that the
magnetism in ZnO:Co is entirely governed by intrinsic defects and a phase
diagram is presented. This suggests a recipe for tailoring the magnetic
properties of spintronics materials by controlling their intrinsic defects.


title: Two-dimensional Lorentz-violating Chern-Simons-like action

abstract:
  We demonstrate generation of the two-dimensional Chern-Simons-like
Lorentz-breaking action via an appropriate Lorentz-breaking coupling of scalar
and spinor fields at zero as well as at the finite temperature and via the
noncommutative fields method and study the dispersion relations corresponding
to this action.


title:
Applications of the Superconformal Index for Protected Operators and
  q-Hypergeometric Identities to N=1 Dual Theories

abstract:
  The results of Romelsberger for a N=1 superconformal index counting protected
operators, satisfying a BPS condition and which cannot be combined to form long
multiplets, are analysed further. The index is expressible in terms of single
particle superconformal characters for N=1 scalar and vector multiplets. For
SQCD, involving SU(N_c) gauge groups and appropriate numbers of flavours N_f,
the formula used to construct the index may be proved to give identical results
for theories linked by Seiberg duality using recently proved theorems for
q-series elliptic hypergeometric integrals. The discussion is also extended to
Kutasov-Schwimmer dual theories in the large N_c, N_f limit and to dual
theories with Sp(N) and SO(N) gauge groups. For the former, a transformation
identity for elliptic hypergeometric integrals directly verifies that the index
is the same for the electric and magnetic theories. For SO(N) theories the
corresponding result may also be obtained from the same basic identity. An
expansion of the index to several orders is also obtained in a form where the
detailed protected operator content may be read off. Relevant mathematical
results are reviewed.


title: Trivial centralizers for Axiom A diffeomorphisms

abstract:
  We show there is a residual set of non-Anosov $C^{\infty}$ Axiom A
diffeomorphisms with the no cycles property whose elements have trivial
centralizer. If $M$ is a surface and $2\leq r\leq \infty$, then we will show
there exists an open and dense set of of $C^r$ Axiom A diffeomorphisms with the
no cycles property whose elements have trivial centralizer. Additionally, we
examine commuting diffeomorphisms preserving a compact invariant set $\Lambda$
where $\Lambda$ is a hyperbolic chain recurrent class for one of the
diffeomorphisms.


title: Transverse momentum dependence of J/psi shadowing effects

abstract:
  We present a new approach to estimate the effect of the gluon shadowing in
nucleus+nucleus collisions and its consequences on the J/psi production yield.
Using kinematical information available from the measured J/psi production in
proton+proton collisions at \sqrt s = 200 GeV, we build a Glauber Monte Carlo
code which takes into account shadowing in two alternative ways: multiple
scattering corrections or Q2 evolution of parton densities. We exploit the
dependence of these different parameterizations to the J/psi transverse
momentum and we give the first predictions on the resulting pT dependence of
the nuclear modification factor in deuteron+gold collisions at the same energy.


title: Turmoil in Orion: The Nearest Massive Protostar

abstract:
  I discuss different theories of massive star formation: formation from
massive cores, competitive Bondi-Hoyle accretion, and protostellar collisions.
I summarize basic features of the Turbulent Core Model (TCM). I then introduce
the Orion Kleinmann-Low (KL) region, embedded in the Orion Nebula Cluster (ONC)
and one of the nearest regions of massive star formation. The KL region
contains three principal radio sources, known as "I", "n" and "BN". BN is known
to be a runaway star, almost certainly set in motion by dynamical ejection
within the ONC from a multiple system of massive stars, that would leave behind
a recoiling, hard, massive, probably eccentric binary. I review the debate
about whether this binary is Theta^1C, the most massive star in the ONC, or
source "I", and argue that it is most likely to be Theta^1C, since this is now
known be a recoiling, hard, massive, eccentric binary, with properties that
satisfy the energy and momentum constraints implied by BN's motion. Source "n"
is a relatively low-mass protostar with extended radio emission suggestive of a
bipolar outflow. Source "I", located near the center of the main gas
concentration in the region, the Orion Hot Core, is the likely location of a
massive protostar that is powering the KL region, and I discuss how its basic
properties are consistent with predictions from the TCM. In this scenario, the
radio emission from source "I" is the base of a bipolar outflow that is ionized
by the massive protostar and should be elongated along the axis of the outflow.


title: Recoil Free Scattering From a Free Gas

abstract:
  We present a treatment of decoherence in an atom due to scattering from a gas
of free particles. We show that there is a recoil free scattering process that
leaves both the atom and the gas in an unchanged state, but allows for the
acquisition of a phase shift that remains in the free space limit. This is
essential to understanding decoherence in a separated arm atom interferometer,
where a gas of atoms forms a refractive medium for a matter wave. Our work
clarifies the extent to which scattering of a free particle acts as a which-way
measurement.


title:
Cosmic ray velocity and electric charge measurements with the AMS/RICH
  detector: prototype results

abstract:
  The Alpha Magnetic Spectrometer (AMS) to be installed on the International
Space Station (ISS) will measure charged cosmic ray spectra of elements up to
iron, in the rigidity range from 1 GV to 1 TV, for at least three years. AMS is
a large angular spectrometer composed of different subdetectors, including a
proximity focusing Ring Imaging CHerenkov (RICH) detector. This will be
equipped with a mixed radiator made of aerogel and sodium fluoride (NaF), a
lateral conical mirror and a detection plane made of 680 photomultipliers
coupled to light guides. The RICH detector allows measurements of particle's
electric charge up to iron, and particle's velocity. Two possible methods for
reconstructing the Cherenkov angle and the electric charge with the RICH will
be discussed.
  A RICH prototype consisting of a detection matrix with 96 photomultipliers, a
segment of a conical mirror and samples of the radiator materials was built and
its performance was evaluated using ion beam data. Results from the last test
beam performed with ion fragments resulting from the collision of a 158
GeV/c/nucleon primary beam of indium ions (CERN SPS) on a lead target are
reported. The large amount of collected data allowed to test and characterize
different aerogel samples and the NaF radiator. In addition, the reflectivity
of the mirror was evaluated. The data analysis confirms the design goals.


title:
Investigating a Class of $2\otimes2\otimes d$ Chessboard Density
  Matrices via Linear and Non-linear Entanglement Witnesses Constructed by
  Exact Convex Optimization

abstract:
  Here we consider a class of $2\otimes2\otimes d$ chessboard density matrices
starting with three-qubit ones which have positive partial transposes with
respect to all subsystems. To investigate the entanglement of these density
matrices, we use the entanglement witness approach. For constructing
entanglement witnesses (EWs) detecting these density matrices, we attempt to
convert the problem to an exact convex optimization problem. To this aim, we
map the convex set of separable states into a convex region, named feasible
region, and consider cases that the exact geometrical shape of feasible region
can be obtained. In this way, various linear and non-linear EWs are
constructed. The optimality and decomposability of some of introduced EWs are
also considered. Furthermore, the detection of the density matrices by
introduced EWs are discussed analytically and numerically.
  {\bf Keywords: chessboard density matrices, optimal non-linear entanglement
witnesses, convex optimization}
  {\bf PACs Index: 03.65.Ud}


title:
X-ray Hotspot Flares and Implications for Cosmic Ray Acceleration and
  Magnetic Field amplification in Supernova Remnants

abstract:
  For more than fifty years, it has been believed that cosmic ray (CR) nuclei
are accelerated to high energies in the rapidly expanding shockwaves created by
powerful supernova explosions. Yet observational proof of this conjecture is
still lacking. Recently, Uchiyama and collaborators reported the detection of
small-scale X-ray flares in one such supernova remnant, dubbed 'RX J1713-3946'
(a.k.a. G347.3-0.5), which also emits very energetic, TeV (10^12 eV) range,
gamma-rays. They contend that the variability of these X-ray 'hotspots' implies
that the magnetic field in the remnant is about a hundred times larger than
normally assumed; and this, they say, means that the detected TeV range photons
were produced in energetic nuclear interactions, providing 'a strong argument
for acceleration of protons and nuclei to energies of 1 PeV (10^15 eV) and
beyond in young supernova remnants.' We point out here that the existing
multiwavelength data on this object certainly do not support such conclusions.
Though intriguing, the small-scale X-ray flares are not the long sought-after
'smoking gun' of nucleonic CR acceleration in SNRs.


title: Variations of the Mid-IR Aromatic Features Inside and Among Galaxies

abstract:
  We present the results of a systematic study of mid-IR spectra of Galactic
regions, Magellanic HII regions, and galaxies of various types (dwarf, spiral,
starburst), observed by the satellites ISO and Spitzer. We study the relative
variations of the 6.2, 7.7, 8.6 and 11.3 micron features inside spatially
resolved objects (such as M82, M51, 30 Doradus, M17 and the Orion Bar), as well
as among 90 integrated spectra of 50 objects. Our main results are that the
6.2, 7.7 and 8.6 micron bands are essentially tied together, while the ratios
between these bands and the 11.3 micron band varies by one order of magnitude.
This implies that the properties of the PAHs are remarkably universal
throughout our sample, and that the relative variations of the band ratios are
mainly controled by the fraction of ionized PAHs. In particular, we show that
we can rule out both the modification of the PAH size distribution, and the
mid-infrared extinction, as an explanation of these variations. Using a few
well-studied Galactic regions (including the spectral image of the Orion Bar),
we give an empirical relation between the I(6.2)/I(11.3) ratio and the
ionization/recombination ratio G0/ne.Tgas^0.5, therefore providing a useful
quantitative diagnostic tool of the physical conditions in the regions where
the PAH emission originates. Finally, we discuss the physical interpretation of
the I(6.2)/I(11.3) ratio, on galactic size scales.


title: Q-instantons

abstract:
  We construct the half-supersymmetric instanton solutions that are
electric-magnetically dual to the recently discussed half-supersymmetric
Q7-branes. We call these instantons `Q-instantons'. Whereas the D-instanton is
most conveniently described using the RR axion \chi and the dilaton \phi, the
Q-instanton is most conveniently described using a different set of fields
\chi' and T, where \chi' is an axionic scalar. The real part of the Q-instanton
on-shell action is a function of T and the imaginary part is linear in \chi'.
Discrete shifts of the axion \chi' correspond to PSL(2,Z) transformations that
are of finite order. These are e.g. pure S-duality transformations relating
weak and strongly coupled regimes. We argue that near each orbifold point of
the quantum axion-dilaton moduli space PSL(2,Z)\PSL(2,R)/SO(2) the higher order
R^4 terms in the string effective action contain contributions from an infinite
sum of single multiply-charged instantons with the Q-instantons corresponding
to the orbifold points \tau=i,\rho where \tau is the complex axion-dilaton
field.


title: AMS - a magnetic spectrometer on the international space station

abstract:
  The Alpha Magnetic Spectrometer (AMS) is a particle detector, designed to
search for cosmic antimatter and dark matter and to study the elemental and
isotopic composition of primary cosmic rays, that will be installed on the
International Space Station (ISS) in 2008 to operate for at least three years.
The detector will be equipped with a ring imaging Cherenkov detector (RICH)
enabling measurements of particle electric charge and velocity with
unprecedented accuracy. Physics prospects and test beam results are shortly
presented.


title: Finsler and Lagrange Geometries in Einstein and String Gravity

abstract:
  We review the current status of Finsler-Lagrange geometry and
generalizations. The goal is to aid non-experts on Finsler spaces, but
physicists and geometers skilled in general relativity and particle theories,
to understand the crucial importance of such geometric methods for applications
in modern physics. We also would like to orient mathematicians working in
generalized Finsler and Kahler geometry and geometric mechanics how they could
perform their results in order to be accepted by the community of ''orthodox''
physicists.
  Although the bulk of former models of Finsler-Lagrange spaces where
elaborated on tangent bundles, the surprising result advocated in our works is
that such locally anisotropic structures can be modelled equivalently on
Riemann-Cartan spaces, even as exact solutions in Einstein and/or string
gravity, if nonholonomic distributions and moving frames of references are
introduced into consideration.
  We also propose a canonical scheme when geometrical objects on a (pseudo)
Riemannian space are nonholonomically deformed into generalized Lagrange, or
Finsler, configurations on the same manifold. Such canonical transforms are
defined by the coefficients of a prime metric and generate target spaces as
Lagrange structures, their models of almost Hermitian/ Kahler, or nonholonomic
Riemann spaces.
  Finally, we consider some classes of exact solutions in string and Einstein
gravity modelling Lagrange-Finsler structures with solitonic pp-waves and
speculate on their physical meaning.


title:
Correspondence of the eigenvalues of a non-self-adjoint operator to
  those of a self-adjoint operator

abstract:
  We prove that the eigenvalues of a certain highly non-self-adjoint operator
that arises in fluid mechanics correspond, up to scaling by a positive
constant, to those of a self-adjoint operator with compact resolvent; hence
there are infinitely many real eigenvalues which accumulate only at $\pm
\infty$. We use this result to determine the asymptotic distribution of the
eigenvalues and to compute some of the eigenvalues numerically. We compare
these to earlier calculations by other authors.


title: Hyperbolic Hubbard-Stratonovich transformation made rigorous

abstract:
  We revisit a long standing issue in the theory of disordered electron systems
and their effective description by a non-linear sigma model: the hyperbolic
Hubbard-Stratonovich (HS) transformation in the bosonic sector. For
time-reversal invariant systems without spin this sector is known to have a
non-compact orthogonal symmetry O(p,q). There exists an old proposal by
Pruisken and Schaefer how to do the HS transformation in an O(p,q) invariant
way. Giving a precise formulation of this proposal, we show that the HS
integral is a sign-alternating sum of integrals over disjoint domains.


title: The Synergy of Gamma-Ray Burst Detectors in the GLAST Era

abstract:
  Simultaneous observations by the large number of gamma-ray burst detectors
operating in the GLAST era will provide the spectra, lightcurves and locations
necessary for studying burst physics and testing the putative relations between
intrinsic burst properties. The detectors' energy band and the accumulation
timescale of their trigger system affect their sensitivity to hard vs. soft and
long vs. short bursts. Coordination of the Swift and GLAST observing plans
consistent with Swift's other science objectives could increase the detection
rate of GLAST bursts with redshifts.


title:
On ramification filtrations and $p$-adic differential modules, I: equal
  characteristic case

abstract:
  Let $k$ be a complete discretely valued field of equal characteristic $p > 0$
with possibly imperfect residue field and let $G_k$ be its Galois group. We
prove that the conductors computed by the arithmetic ramification filtrations
on $G_k$ coincide with the differential Artin conductors and Swan conductors of
Galois representations of $G_k$. As a consequence, we give a Hasse-Arf theorem
for arithmetic ramification filtrations in this case. As applications, we
obtain a Hasse-Arf theorem for finite flat group schemes; we also give a
comparison theorem between the differential Artin conductors and Borger's
conductors.


title:
Stochastic Differential Equations Driven by Fractional Brownian Motion
  and Standard Brownian Motion

abstract:
  We prove an existence and uniqueness theorem for solutions of
multidimensional, time dependent, stochastic differential equations driven
simultaneously by a multidimensional fractional Brownian motion with Hurst
parameter H>1/2 and a multidimensional standard Brownian motion. The proof
relies on some a priori estimates, which are obtained using the methods of
fractional integration, and the classical Ito stochastic calculus. The
existence result is based on the Yamada-Watanabe theorem.


title:
Pulsating instability of a Bose-Einstein condensate in an optical
  lattice

abstract:
  We find numerically that in the limit of weak atom-atom interactions a
Bose-Einstein condensate in an optical lattice may develop a pulsating
dynamical instability in which the atoms nearly periodically form a peak in the
occupation numbers of the lattice sites, and then return to the unstable
initial state. Multiple peaks behaving similarly may also occur. Simple
arguments show that the pulsating instability is a remnant of integrability,
and give a handle on the relevant physical scales.


title:
A simple algorithm for extending the identities for quantum minors to
  the multiparametric case

abstract:
  For any homogeneous identity between $q$-minors, we provide an identity
between $P,Q$-minors.


title: A Note on Boolean Lattices and Farey Sequences II

abstract:
  We establish monotone bijections between subsequences of the Farey sequences
and the halfsequences of Farey subsequences associated with elements of the
Boolean lattices.


title: Covering maps for locally path-connected spaces

abstract:
  We define Peano covering maps and prove basic properties analogous to
classical covers. Their domain is always locally path-connected but the range
may be an arbitrary topological space. One of characterizations of Peano
covering maps is via the uniqueness of homotopy lifting property for all
locally path-connected spaces.
  Regular Peano covering maps over path-connected spaces are shown to be
identical with generalized regular covering maps introduced by Fischer and
Zastrow. If $X$ is path-connected, then every Peano covering map is equivalent
to the projection $\widetilde X/H\to X$, where $H$ is a subgroup of the
fundamental group of $X$ and $\widetilde X$ equipped with the basic topology.
The projection $\widetilde X/H\to X$ is a Peano covering map if and only if it
has the unique path lifting property. We define a new topology on $\widetilde
X$ for which one has a characterization of $\widetilde X/H\to X$ having the
unique path lifting property if $H$ is a normal subgroup of $\pi_1(X)$. Namely,
$H$ must be closed in $\pi_1(X)$. Such groups include $\pi(\mathcal{U},x_0)$
($\mathcal{U}$ being an open cover of $X$) and the kernel of the natural
homomorphism from the fundamental group to the Cech fundamental group.


title:
Type Ia Supernovae Rates and Galaxy Clustering from the CFHT Supernova
  Legacy Survey

abstract:
  The Canada-France-Hawaii Telescope Supernova Legacy Survey (SNLS) has created
a large homogeneous database of intermediate redshift (0.2 < z < 1.0) type Ia
supernovae (SNe Ia). The SNLS team has shown that correlations exist between SN
Ia rates, properties, and host galaxy star formation rates. The SNLS SN Ia
database has now been combined with a photometric redshift galaxy catalog and
an optical galaxy cluster catalog to investigate the possible influence of
galaxy clustering on the SN Ia rate, over and above the expected effect due to
the dependence of SFR on clustering through the morphology-density relation. We
identify three cluster SNe Ia, plus three additional possible cluster SNe Ia,
and find the SN Ia rate per unit mass in clusters at intermediate redshifts is
consistent with the rate per unit mass in field early-type galaxies and the SN
Ia cluster rate from low redshift cluster targeted surveys. We also find the
number of SNe Ia in cluster environments to be within a factor of two of
expectations from the two component SNIa rate model.


title:
Ultrafast, ultrabright, X-ray holography using a uniformly-redundant
  array

abstract:
  Advances in the development of free-electron lasers offer the realistic
prospect of high-resolution imaging to study the nanoworld on the time-scale of
atomic motions. We identify X-ray Fourier Transform holography, (FTH) as a
promising but, so far, inefficient scheme to do this. We show that a uniformly
redundant array (URA) placed next to the sample, multiplies the efficiency of
X-ray FTH by more than one thousand (approaching that of a perfect lens) and
provides holographic images with both amplitude- and phase-contrast
information. The experiments reported here demonstrate this concept by imaging
a nano-fabricated object at a synchrotron source, and a bacterial cell at a
soft X-ray free-electron-laser, where illumination by a single 15 fs pulse was
successfully used in producing the holographic image. We expect with upcoming
hard X-ray lasers to achieve considerably higher spatial resolution and to
obtain ultrafast movies of excited states of matter.


title: Hadrons in Medium -- Theory meets Experiment

abstract:
  In this talk I give a short review of theoretical results on the properties
of hadrons in cold, equilibrium nuclear matter. I then discuss the observable
consequences of any changes of these properties inside the medium in actual
experiments. I demonstrate that any experimental verification of in-medium
effects requires a state-of-the-art treatment of the reaction dynamics and, in
particular, also the final state interactions.


title:
Small Dwarf Galaxies Within Larger Dwarfs: Why Some Are Luminous While
  Most Go Dark

abstract:
  We consider the possibility that the Magellanic Clouds were the largest
members of a group of dwarf galaxies that entered the Milky Way (MW) halo at
late times. Seven of the eleven brightest satellites of the MW may have been
part of this system. The proximity of some dwarfs to the plane of the orbit of
the Large Magellanic Cloud (LMC) has been used to argue that they formed from
tidal debris from the LMC and Small Magellanic Cloud (SMC). Instead, they may
owe to the tidal breakup of the Magellanic Group. This can explain the
association of many of the dwarf galaxies in the Local Group with the LMC
system. It provides a mechanism for lighting up dwarf galaxies and reproduces
the bright end of the cumulative circular velocity distribution of the
satellites in the MW without invoking a stripping scenario for the subhalos to
match the satellite distribution expected according to CDM theory. Finally, our
model predicts that other isolated dwarfs will be found to have companions.
Evidence for this prediction is provided by nearby, recently discovered dwarf
associations.