title: Neutrino Scattering on Glass: NuSOnG

abstract:
  These proceedings describe the physics goals and initial design for a new
experiment: NuSOnG -- Neutrino Scattering On Glass. The design will yield about
two orders of magnitude higher statistics than previous high energy neutrino
experiments, observed in a detector optimized for low hadronic energy and
electromagnetic events. As a result, the purely weak processes $\nu_{\mu}+e^-
\to \nu_{\mu}+ e^-$ and $\nu_{\mu}+ e^- \to \nu_e + \mu^-$ (inverse muon decay)
can be measured with high accuracy for the first time. This allows important
precision electroweak tests and well as direct searches for new physics. The
high statistics also will yield the world's largest sample of Deep Inelastic
(DIS) events for precision parton distribution studies.


title: Nonlocal Astroparticles in Einstein's Universe

abstract:
  Gravitational probes should maintain spatial flatness for
Einsten-Infeld-Hoffmann dynamics of relativistic matter-energy. The continuous
elementary source/particle in Einstein's gravitational theory is the r^{-4}
radial energy density rather than the delta-operator density in empty-space
gravitation. The space energy integral of such an infinite (astro)particle is
finite and determines its nonlocal gravitational charge for the
energy-to-energy attraction of other nonlocal (astro)particles. The non-empty
flat space of the undivided material Universe is charged continuously by the
world energy density of the global ensemble of overlapping radial particles.
Nonlocal gravitational/inertial energy-charges incorporate Machian relativism
quantitatively into Einstein's gravitation for self-contained SR-GR dynamics
without references on Newton's mass-to-mass attraction.


title: Tate Resolutions for Segre Embeddings

abstract:
  We give an explicit description of the terms and differentials of the Tate
resolution of sheaves arising from Segre embeddings of $\P^a\times\P^b$. We
prove that the maps in this Tate resolution are either coming from
Sylvester-type maps, or from Bezout-type maps arising from the so-called toric
Jacobian.


title: Neutrinos from Fallback onto Newly Formed Neutron Stars

abstract:
  In the standard supernova picture, type Ib/c and type II supernovae are
powered by the potential energy released in the collapse of the core of a
massive star. In studying supernovae, we primarily focus on the ejecta that
makes it beyond the potential well of the collapsed core. But, as we shall show
in this paper, in most supernova explosions, a tenth of a solar mass or more of
the ejecta is decelerated enough that it does not escape the potential well of
that compact object. This material falls back onto the proto-neutron star
within the first 10-15 seconds after the launch of the explosion, releasing
more than 1e52erg of additional potential energy. Most of this energy is
emitted in the form of neutrinos and we must understand this fallback neutrino
emission if we are to use neutrino observations to study the behavior of matter
at high densities. Here we present both a 1-dimensional study of fallback using
energy-injected, supernova explosions and a first study of neutrino emission
from fallback using a suite of 2-dimensional simulations.


title:
Gelfand-Tsetlin bases for representations of finite W-algebras and
  shifted Yangians

abstract:
  Remarkable subalgebras of the Yangian for gl_n called the shifted Yangians
were introduced in a recent work by Brundan and Kleshchev in relation to their
study of finite W-algebras. In particular, in that work a classification of
finite-dimensional irreducible representations of the shifted Yangians and the
associated finite W-algebras was given. We construct a class of these
representations in an explicit form via bases of Gelfand-Tsetlin type.


title:
Microscopic model analyses of proton scattering from 12C, 20Ne, 24Mg,
  28Si and 40Ca

abstract:
  Differential cross sections and analyzing powers for elastic scattering from,
and for inelastic proton scattering to a set of $2^+_1$ states in, ${}^{12}$C,
${}^{20}$Ne, ${}^{24}$Mg, ${}^{28}$Si and ${}^{40}$Ca, and for a set of
energies between 35 to 250 MeV, have been analyzed. A $g$-folding model has
been used to determine optical potentials and a microscopic distorted wave
approximation taken to analyze the inelastic data. The effective
nucleon-nucleon interactions used to specify the optical potentials have also
been used as the transition operators in the inelastic scattering processes.
Shell and large space Hartree-Fock models of structure have been used to
describe the nuclear states.


title: Correlated Phenotypic Transitions to Competence in Bacterial Colonies

abstract:
  Genetic competence is a phenotypic state of a bacterial cell in which it is
capable of importing DNA, presumably to hasten its exploration of alternate
genes in its quest for survival under stress. Recently, it was proposed that
this transition is uncorrelated among different cells in the colony. Motivated
by several discovered signaling mechanisms which create colony-level responses,
we present a model for the influence of quorum-sensing signals on a colony of
B. Subtilis cells during the transition to genetic competence. Coupling to the
external signal creates an effective inhibitory mechanism, which results in
anti-correlation between the cycles of adjacent cells. We show that this
scenario is consistent with the specific experimental measurement, which fails
to detect some underlying collective signaling mechanisms. Rather, we suggest
other parameters that should be used to verify the role of a quorum-sensing
signal. We also study the conditions under which phenotypic spatial patterns
may emerge.


title: A note on pairs of metrics in a three-dimensional linear vector space

abstract:
  Pairs of metrics in a three-dimensional linear vector space are considered,
one of which is a Minkowski type metric with the signature (+,-,-). Such metric
pairs are classified and canonical presentations for them in each class are
suggested.


title:
Observer dependent D-brane for strings propagating in pp-wave time
  dependent background

abstract:
  We study type IIB superstring in the pp-wave time-dependent background, which
has a singularity at $t=0$. We show that this background can provide a toy
model to study some ideas related to the stretched horizon paradigm and the
complementary principle of black holes. To this end, we construct a unitary
Bogoliubov generator which relates the asymptotically flat string Hilbert
space, defined at $t =\pm \infty$, to the finite time Hilbert space. For
asymptotically flat observers, the closed string vacuum close to the
singularity appears as a boundary state which is in fact a D-brane described in
the closed string channel. However, observers who go with the string towards to
the singularity see the original vacuum.


title: Kerdock Codes for Limited Feedback Precoded MIMO Systems

abstract:
  A codebook based limited feedback strategy is a practical way to obtain
partial channel state information at the transmitter in a precoded
multiple-input multiple-output (MIMO) wireless system. Conventional codebook
designs use Grassmannian packing, equiangular frames, vector quantization, or
Fourier based constructions. While the capacity and error rate performance of
conventional codebook constructions have been extensively investigated,
constructing these codebooks is notoriously difficult relying on techniques
such as nonlinear search or iterative algorithms. Further, the resulting
codebooks may not have a systematic structure to facilitate storage of the
codebook and low search complexity. In this paper, we propose a new systematic
codebook design based on Kerdock codes and mutually unbiased bases. The
proposed Kerdock codebook consists of multiple mutually unbiased unitary bases
matrices with quaternary entries and the identity matrix. We propose to derive
the beamforming and precoding codebooks from this base codebook, eliminating
the requirement to store multiple codebooks. The propose structure requires
little memory to store and, as we show, the quaternary structure facilitates
codeword search. We derive the chordal distance for two antenna and four
antenna codebooks, showing that the proposed codebooks compare favorably with
prior designs. Monte Carlo simulations are used to compare achievable rates and
error rates for different codebooks sizes.


title: Reduced distance based at singular time in the Ricci flow

abstract:
  In this paper, we define a reduced distance function based at a point at the
singular time $T<\infty$ of a Ricci flow. We also show the monotonicity of the
corresponding reduced volume based at time T, with equality iff the Ricci flow
is a gradient shrinking soliton. Our curvature bound assumption is more general
than the type I condition.


title: Solution of the Cauchy Problem for a Time-Dependent Schoedinger Equation

abstract:
  We construct an explicit solution of the Cauchy initial value problem for the
n-dimensional Schroedinger equation with certain time-dependent Hamiltonian
operator of a modified oscillator. The dynamical SU(1,1) symmetry of the
harmonic oscillator wave functions, Bargmann's functions for the discrete
positive series of the irreducible representations of this group, the Fourier
integral of a weighted product of the Meixner-Pollaczek polynomials, a
Hankel-type integral transform and the hyperspherical harmonics are utilized in
order to derive the corresponding Green function. It is then generalized to a
case of the forced modified oscillator. The propagators for two models of the
relativistic oscillator are also found. An expansion formula of a plane wave in
terms of the hyperspherical harmonics and solution of certain infinite system
of ordinary differential equations are derived as a by-product.


title:
On the large-distance asymptotics of steady state solutions of the
  Navier-Stokes equations in 3D exterior domains

abstract:
  We identify the leading term describing the behavior at large distances of
the steady state solutions of the Navier-Stokes equations in 3D exterior
domains with vanishing velocity at the spatial infinity.


title: Variational theory of two-fluid hydrodynamic modes at unitarity

abstract:
  We present the results of a variational calculation of the frequencies of the
low-lying Landau two-fluid hydrodynamic modes in a trapped Fermi superfluid gas
at unitarity. Landau's two-fluid hydrodynamics is expected to be the correct
theory of Fermi superfluids at finite temperatures close to unitarity, where
strong interactions give rise to collisional hydrodynamics. Two-fluid
hydrodynamics predicts the existence of in-phase modes in which the superfluid
and normal fluid components oscillate together, as well as out-of-phase modes
where the two components move against each other. We prove that at unitarity,
the dipole and breathing in-phase modes are locally isentropic. Their
frequencies are independent of temperature and are the same above and below the
superfluid transition. The out-of-phase modes, in contrast, are strongly
dependent on temperature and hence, can be used to test the thermodynamic
properties and superfluid density of a Fermi gas at unitarity. We give
numerical results for the frequencies of these new modes as function of
temperature in an isotropic trap at unitarity.


title:
Inverse scattering for the nonlinear Schr\"{o}dinger equation with the
  Yukawa potential

abstract:
  We study the inverse scattering problem for the three dimensional nonlinear
Schroedinger equation with the Yukawa potential. The nonlinearity of the
equation is nonlocal. We reconstruct the potential and the nonlinearity by the
knowledge of the scattering states. Our result is applicable to reconstructing
the nonlinearity of the semi-relativistic Hartree equation.


title: KM3NeT: A Next Generation Neutrino Telescope in the Mediterranean Sea

abstract:
  To complement the IceCube neutrino telescope currently under construction at
the South Pole, the three Mediterranean neutrino telescope projects ANTARES,
NEMO and NESTOR have joined forces to develop, construct and operate a
km^3-scale neutrino telescope in the Mediterranean Sea. Since February 2006,
the technical specifications and performance of such a detector are studied in
the framework of a 3-year EU-funded Design Study. In 2009 a technical design
report will be released laying the foundations for the construction of the
detector. In the following, the current status of the Design Study is presented
and examples of solutions for the technical challenges are discussed.


title:
A framework for large-scale relativistic simulations in the
  characteristic approach

abstract:
  We present a new computational framework (LEO), that enables us to carry out
the very first large-scale, high-resolution computations in the context of the
characteristic approach in numerical relativity. At the analytic level, our
approach is based on a new implementation of the ``eth'' formalism, using a
non-standard representation of the spin-raising and lowering angular operators
in terms of non-conformal coordinates on the sphere; we couple this formalism
to a partially first-order reduction (in the angular variables) of the Einstein
equations. The numerical implementation of our approach supplies the basic
building blocks for a highly parallel, easily extensible numerical code. We
demonstrate the adaptability and excellent scaling of our numerical code by
solving, within our numerical framework, for a scalar field minimally coupled
to gravity (the Einstein-Klein-Gordon problem) in 3-dimensions. The nonlinear
code is globally second-order convergent, and has been extensively tested using
as reference a calibrated code with the same boundary-initial data and radial
marching algorithm. In this context, we show how accurately we can follow
quasi-normal mode ringing. In the linear regime, we show energy conservation
for a number of initial data sets with varying angular structure. A striking
result that arises in this context is the saturation of the flow of energy
through the Schwarzschild radius. As a final calibration check we perform a
large simulation with resolution never achieved before.


title: Normal generation of very ample line bundles on toric varieties

abstract:
  The article has been withdrawn by the author due to the existence of
counterexamples.


title: Revisiting the pentaquark episode for lattice QCD

abstract:
  This work revisits the pentaquark episode, particularly in reference to
lattice QCD, to collect in one place the lessons that have been or should be
learnt. This also examines whether, and if yes, where, there might be any
prospect for future studies of pentaquarks and the role of lattice QCD in it.
Tests such as volume dependence, and hybrid boundary conditions to distinguish
bound and scattering states are identified as the positives to take forward
from this episode. On the other hand it is also observed that pentaquarks with
heavier quark content and in the $SU(3)_f$ limit may still be worth not
forgetting, and in that case lattice QCD may have an important role to play.


title: Phonons in SrTiO3 analyzed by difference bond-length spectrum

abstract:
  Phonons change remarkable the interatomic bond length in solids and this work
suggest a novel method how this behavior can be displayed and analyzed. The
bond-length spectrum is plotted for each of the different atomic bonding types.
When comparing the bond-length to an un-deformed crystal by the so-called
difference bond length spectrum, the effect of phonons is clearly visible. The
Perovskite lattice of SrTiO3 is used as an example and several lattice
vibration modes are applied in a frozen phonon calculation in a 2x2x2
supercell. Ab-initio DFT simulations using the Vasp software were performed to
calculate the density of states. The results show the important finding
reported here first, that certain phonon interactions with shorter Ti-O bonds
decrease the band gap, while changes in the Sr-Ti bond length enlarge the band
gap.


title:
Computing Ground States of Spin-1 Bose-Einstein Condensates by the
  Normalized Gradient Flow

abstract:
  In this paper, we propose an efficient and accurate numerical method for
computing the ground state of spin-1 Bose-Einstein condensates (BEC) by using
the normalized gradient flow or imaginary time method. The key idea is to find
a third projection or normalization condition based on the relation between the
chemical potentials so that the three projection parameters used in the
projection step of the normalized gradient flow are uniquely determined by this
condition as well as the other two physical conditions given by the
conservation of total mass and total magnetization. This allows us to
successfully extend the most popular and powerful normalized gradient flow or
imaginary time method for computing the ground state of single component BEC to
compute the ground state of spin-1 BEC. An efficient and accurate
discretization scheme, the backward-forward Euler sine-pseudospectral method
(BFSP), is proposed to discretize the normalized gradient flow. Extensive
numerical results on ground states of spin-1 BEC with
ferromagnetic/antiferromagnetic interaction and harmonic/optical lattice
potential in one/three dimensions are reported to demonstrate the efficiency of
our new numerical method.


title: Thermodynamic Properties of XXZ model in a Transverse Field

abstract:
  We have numerically studied the thermodynamic properties of the spin 1/2 XXZ
chain in the presence of a transverse (non commuting) magnetic field. The
thermal, field dependence of specific heat and correlation functions for chains
up to 20 sites have been calculated. The area where the specific heat decays
exponentially is considered as a measure of the energy gap. We have also
obtained the exchange interaction between chains in a bulk material using the
random phase approximation and derived the phase diagram of the three
dimensional material with this approximation. The behavior of the structure
factor at different momenta verifies the antiferromagnetic long range order in
y-direction for the three dimensional case. Moreover, we have concluded that
the Low Temperature Lanczos results [M. Aichhorn et al., Phys. Rev. B 67,
161103(R) (2003)] are more accurate for low temperatures and closer to the full
diagonalization ones than the results of Finite Temperature Lanczos Method [J.
Jaklic and P. Prelovsek, Phys. Rev. B 49, 5065 (1994)].


title:
On the Lagrangian Structure of the Discrete Isospectral and
  Isomonodromic Transformations

abstract:
  We establish the Lagrangian nature of the discrete isospectral and
isomonodromic dynamical systems corresponding to the re-factorization
transformations of the rational matrix functions on the Riemann sphere.
Specifically, in the isospectral case we generalize the Moser-Veselov approach
to integrability of discrete systems via the re-factorization of matrix
polynomials to a more general class of matrix rational functions that have a
simple divisor and, in the quadratic case, explicitly write the Lagrangian
function for such systems. Next we show that if we let certain parameters in
this Lagrangian to be time-dependent, the resulting Euler-Lagrange equations
describe the isomonodromic transformations of systems of linear difference
equations. It is known that in some special cases such equations reduce to the
difference Painlev\'e equation. As an example, we show how to obtain the
difference Painlev\`e V equation in this way, and hence we establish that this
equation can be written in the Lagrangian form.


title: Projected p-wave superconducting wave-functions for topological orders

abstract:
  In this paper we develop a sysmatical theory for topological orders by the
projected p-wave superconducting (SC) wave-functions and unify the different
topological orders for spin models into the fermionic picture. We found that
the energy for the fermions at k=(0,0), (0, pi), (pi, 0), (pi, pi) acts as a
topological invariable to characterize 16 universal classes of different
topological orders for the spin models with translation invariance. Based on
the projected p-wave SC wave-functions the topological properties for the known
topological orders in the exact solved spin models are obtained. Finally new
types of topological orders are predicted.


title:
Confirmation of Matheron's conjecture on the covariogram of a planar
  convex body

abstract:
  The covariogram g_K of a convex body K in E^d is the function which
associates to each x in E^d the volume of the intersection of K with K+x. In
1986 G. Matheron conjectured that for d=2 the covariogram g_K determines K
within the class of all planar convex bodies, up to translations and
reflections in a point. This problem is equivalent to some problems in
stochastic geometry and probability as well as to a particular case of the
phase retrieval problem in Fourier analysis. It is also relevant for the
inverse problem of determining the atomic structure of a quasicrystal from its
X-ray diffraction image. In this paper we confirm Matheron's conjecture
completely.


title:
Dimer coverings on the Sierpinski gasket with possible vacancies on the
  outmost vertices

abstract:
  We present the number of dimers $N_d(n)$ on the Sierpinski gasket $SG_d(n)$
at stage $n$ with dimension $d$ equal to two, three, four or five, where one of
the outmost vertices is not covered when the number of vertices $v(n)$ is an
odd number. The entropy of absorption of diatomic molecules per site, defined
as $S_{SG_d}=\lim_{n \to \infty} \ln N_d(n)/v(n)$, is calculated to be
$\ln(2)/3$ exactly for $SG_2(n)$. The numbers of dimers on the generalized
Sierpinski gasket $SG_{d,b}(n)$ with $d=2$ and $b=3,4,5$ are also obtained
exactly. Their entropies are equal to $\ln(6)/7$, $\ln(28)/12$, $\ln(200)/18$,
respectively. The upper and lower bounds for the entropy are derived in terms
of the results at a certain stage for $SG_d(n)$ with $d=3,4,5$. As the
difference between these bounds converges quickly to zero as the calculated
stage increases, the numerical value of $S_{SG_d}$ with $d=3,4,5$ can be
evaluated with more than a hundred significant figures accurate.


title:
Singular Curves in the Joint Space and Cusp Points of 3-RPR parallel
  manipulators

abstract:
  This paper investigates the singular curves in the joint space of a family of
planar parallel manipulators. It focuses on special points, referred to as cusp
points, which may appear on these curves. Cusp points play an important role in
the kinematic behavior of parallel manipulators since they make possible a
nonsingular change of assembly mode. The purpose of this study is twofold.
First, it exposes a method to compute joint space singular curves of 3-RPR
planar parallel manipulators. Second, it presents an algorithm for detecting
and computing all cusp points in the joint space of these same manipulators.


title: Intervalley splittings of Si quantum wells

abstract:
  Multi-valley effective mass theory for silicon quantum well structure is
studied taking into account the external fields and the quantum interfaces. It
is found that the phenomenological delta function potential, employed to
explain the valley splitting caused by the quantum well interface in the
previous work [Ref. 10], can be derived self-consistently from the multi-valley
effective mass theory. Finite element method is used to solve the multi-valley
effective equations. Theoretical predictions are in a reasonably good agreement
with the recent experimental observation of valley splitting in a
SiO_{2}/Si/SiO_{2} quantum well, which prove the validity of our approach.


title:
Canonical formulation of the embedded theory of gravity equivalent to
  Einstein's General Relativity

abstract:
  We study the approach in which independent variables describing gravity are
functions of the space-time embedding into a flat space of higher dimension. We
formulate a canonical formalism for such a theory in a form, which requires
imposing additional constraints, which are a part of Einstein's equations. As a
result, we obtain a theory with an eight-parameter gauge symmetry. This theory
becomes equivalent to Einstein's general relativity either after partial gauge
fixing or after rewriting the metric in the form that is invariant under the
additional gauge transformations. We write the action for such a theory.


title:
Biasing the center of charge in molecular dynamics simulations with
  empirical valence bond models: free energetics of an excess proton in a water
  droplet

abstract:
  Multistate empirical valence bond (EVB) models provide an accurate
description of the energetics of proton transfer and solvation in complex
molecular systems and can be efficiently used in molecular dynamics computer
simulations. Within such models, the location of the moving protonic charge can
be specified by the so called center of charge, defined as a weighted average
over the diabatic states of the EVB model. In this paper, we use first order
perturbation theory to calculate the molecular forces that arise if a bias
potential is applied to the center of charge. Such bias potentials are often
necessary when molecular dynamics simulations are used to determine free
energies related to proton transfer and not all relevant proton positions are
sampled with sufficient frequency during the available computing time. The
force expressions we derive are easy to evaluate and do not create any
significant computational cost compared with unbiased EVB-simulations. As an
illustration of the method, we study proton transfer in a small liquid water
droplet consisting of 128 water molecules plus an excess proton. Contrary to
predictions of continuum electrostatics but in agreement with previous computer
simulations of similar systems, we observe that the excess proton is
predominantly located at the surface of the droplet. Using the formalism
developed in this paper, we calculate the reversible work required to carry the
protonic charge from the droplet surface to its core finding a value of roughly
4 $k_{\rm B}T$.


title: How and when can one identify hadronic molecules in the baryon spectrum

abstract:
  A method to identify hadronic molecules in the particle spectrum is reviewed
and the conditions for its applicability discussed. Special emphasis is put on
the discussion of molecule candidates in the baryon spectrum.


title:
Twisted Dedekind Type Sums Associated with Barnes' Type Multiple
  Frobenius-Euler l-Functions

abstract:
  The aim of this paper is to construct new Dedekind type sums. We construct
generating functions of Barnes' type multiple Frobenius-Euler numbers and
polynomials. By applying Mellin transformation to these functions, we define
Barnes' type multiple l-functions, which interpolate Frobenius-Euler numbers at
negative integers. By using generalizations of the Frobenius-Euler functions,
we define generalized Dedekind type sums and prove corresponding reciprocity
law. We also give twisted versions of the Frobenius-Euler polynomials and new
Dedekind type sums and corresponding reciprocity law. Furthermore, by using
p-adic q-Volkenborn integral and twisted (h,q)-Bernoulli functions, we
construct p-adic (h,q)-higher order Dedekind type sums. By using relation
between Bernoulli and Frobenius-Euler functions, we also define analogues of
Hardy-Berndt type sums. We give some new relations related to to these sums as
well.


title: Information Loss of Black Hole

abstract:
  This paper has been withdrawn by the author due to a crucial sign error in
equation 1.


title:
Non-abelian pseudomeasures and congruences between abelian Iwasawa
  L-functions

abstract:
  The paper starts out from pseudomeasures (in the sense of Serre) which hold
the arithmetic properties of the abelian $l$-adic Artin $L$-functions over
totally real number fields. In order to generalize to non-abelian $l$-adic
$L$-functions, these abelian pseudomeasures must satisfy congruences which are
introduced but not yet known to be true. The relation to the ``equivariant main
conjecture'' of Iwasawa theory is discussed.


title: Permutations defining convex permutominoes

abstract:
  A permutomino of size n is a polyomino determined by particular pairs (P1,
P2) of permutations of size n, such that P1(i) is different from P2(i), for all
i. Here we determine the combinatorial properties and, in particular, the
characterization for the permutations defining convex permutominoes.
  Using such a characterization, these permutations can be uniquely represented
in terms of the so called square permutations, introduced by Mansour and
Severini. Then, we provide a closed formula for the number of these
permutations with size n.


title: Fluctuations for a conservative interface model on a wall

abstract:
  We consider an effective interface model on a hard wall in (1+1) dimensions,
with conservation of the area between the interface and the wall. We prove that
the equilibrium fluctuations of the height variable converge in law to the
solution of a SPDE with reflection and conservation of the space average. The
proof is based on recent results obtained with L. Ambrosio and G. Savare on
stability properties of Markov processes with log-concave invariant measures.


title:
An effective and sharp lower bound on Seshadri constants on surfaces
  with Picard number 1

abstract:
  We study lower bounds on Seshadri constants at arbitrary points on surfaces
with Picard number 1.


title:
Huygens' construction in a dispersive medium moving at a constant
  velocity

abstract:
  We extend the method of Huygens' construction in a uniformly moving optical
medium [Am. J. Phys. 72, 934 (2004)] to the case when the medium is dispersive
in its rest frame of reference. The first-order Huygens' construction analysis
of the light drag in a transversely moving dispersive slab is in agreement with
the results of the experiment by Jones (1975) and with the Player-Rogers
formula for the downstream deflection of the beam. The derivation purports that
the original Huygens' principle remains valid in non-stationary situations if
it is modified to include the relativistic effects on the secondary wavelets
caused by the motion of the medium.


title:
Topological quantization by controlled paths: application to Cooper
  pairs pumps

abstract:
  When physical systems are tunable by three classical parameters, level
degeneracies may occur at isolated points in parameter space. A topological
singularity in the phase of the degenerate eigenvectors exists at these points.
When a path encloses such point, the accumulated geometrical phase is sensitive
to its presence. Furthermore, surfaces in parameter space enclosing such point
can be used to characterize the eigenvector singularities through their Chern
indices, which are integers. They can be used to quantize a physical quantity
of interest. This quantity changes continuously during an adiabatic evolution
along a path in parameter space. Quantization requires to turn this path into a
surface with a well defined Chern index. We analyze the conditions necessary to
a {\em Topological Quantization by Controlled Paths}. It is applied to Cooper
pair pumps. For more general problems, a set of four criteria are proposed to
check if topological quantization is possible.


title:
Parametric estimation in noisy blind deconvolution model: a new
  estimation procedure

abstract:
  In a parametric framework, the paper is devoted to the study of a new
estimation procedure for the inverse filter and the level noise in a complex
noisy blind discrete deconvolution model. Our estimation method is a
consequence of the sharp exploitation of the specifical properties of the
Hankel forms. The distribution of the input signal is also estimated. The
strong consistency and the asymptotic distribution of all estimates are
established. A consistent simulation study is added in order to demonstrate
empirically the computational performance of our estimation procedures.


title: Searches for Physics beyond the Standard Model from HERA

abstract:
  Searches for physics beyond the Standard Model are reported from
electron-proton collisions at a center of mass energy of 318 GeV. Results on a
completely model independent search for deviations from Standard Model
predictions at large transverse momenta are reported as well as generic
searches for contact interactions, leptoquarks and excited fermions from the H1
and ZEUS experiments.


title: Congruences between abelian pseudomeasures

abstract:
  Following Deligne and Ribet (`Values of abelian $L$-functions at negative
integers over totally real fields.' Invent. Math. 59 (1980), 227-286) we prove
that the `torsion congruences' (as introduced in our paper `Non-abelian
pseudomeasures and congruences between abelian Iwasawa $L$-functions.' To
appear in Pure and Applied Mathematics Quarterly) hold and so reduce the `main
conjecture' of equivariant Iwasawa theory to the integrality of the logarithmic
pseudomeasure.


title:
Quasiparticle Model of Quark-Gluon Plasma at Imaginary Chemical
  Potential

abstract:
  A quasiparticle model of the quark-gluon plasma is compared with lattice QCD
data for purely imaginary chemical potential. Net quark number density,
susceptibility as well as the deconfinement border line in the phase diagram of
strongly interacting matter are investigated. In addition, the impact of
baryo-chemical potential dependent quasiparticle masses is discussed. This
accomplishes a direct test of the model for non-zero baryon density. The found
results are compared with lattice QCD data for real chemical potential by means
of analytic continuation and with a different (independent) set of lattice QCD
data at zero chemical potential.


title:
Dimensional reduction for energies with linear growth involving the
  bending moment

abstract:
  A $\Gamma$-convergence analysis is used to perform a 3D-2D dimension
reduction of variational problems with linear growth. The adopted scaling gives
rise to a nonlinear membrane model which, because of the presence of higher
order external loadings inducing a bending moment, may depend on the average in
the transverse direction of a Cosserat vector field, as well as on the
deformation of the mid-plane. The assumption of linear growth on the energy
leads to an asymptotic analysis in the spaces of measures and of functions with
bounded variation.


title: Controlled Synchronization Under Information Constraints

abstract:
  The class of controlled synchronization systems under information constraints
imposed by limited information capacity of the coupling channel is analyzed. It
is shown that the framework proposed in A. L. Fradkov, B. Andrievsky, R. J.
Evans, Physical Review E 73, 066209 (2006) is suitable not only for
observer-based synchronization but also for controlled master-slave
synchronization via communication channel with limited information capacity. A
simple first order coder-decoder scheme is proposed and a theoretical analysis
for multi-dimensional master-slave systems represented in the Lurie form
(linear part plus nonlinearity depending only on measurable outputs) is
provided. An output feedback control law is proposed based on the Passification
theorem. It is shown that the upper bound of the limit synchronization error is
proportional to the upper bound of the transmission error. As a consequence,
both upper and lower bounds of limit synchronization error are proportional to
the maximum rate of the coupling signal and inversely proportional to the
information transmission rate (channel capacity). The results are applied to
controlled synchronization of two chaotic Chua systems coupled via a controller
and a channel with limited capacity.


title:
Almost Periodic Orbits and Stability for Quantum Time-Dependent
  Hamiltonians

abstract:
  We study almost periodic orbits of quantum systems and prove that for
periodic time-dependent Hamiltonians an orbit is almost periodic if, and only
if, it is precompact. In the case of quasiperiodic time-dependence we present
an example of a precompact orbit that is not almost periodic. Finally we
discuss some simple conditions assuring dynamical stability for nonautonomous
quantum system.


title:
Lines in the cosmic microwave background spectrum from the epoch of
  cosmological helium recombination

abstract:
  The main goal of this work is to calculate the contributions to the
cosmological recombination spectrum due to bound-bound transitions of helium.
We show that due to the presence of helium in the early Universe unique
features appear in the total cosmological recombination spectrum. These may
provide a unique observational possibility to determine the relative abundance
of primordial helium, well before the formation of first stars. We include the
effect of the tiny fraction of neutral hydrogen atoms on the dynamics of HeII
-> HeI recombination at redshifts $z\sim 2500$. As discussed recently, this
process significantly accelerates HeII -> HeI recombination, resulting in
rather narrow and distinct features in the associated recombination spectrum.
In addition this process induces some emission within the hydrogen
Lyman-$\alpha$ line, before the actual epoch of hydrogen recombination round
$z\sim 1100-1500$. We also show that some of the fine structure transitions of
neutral helium appear in absorption, again leaving unique traces in the Cosmic
Microwave Background blackbody spectrum, which may allow to confirm our
understanding of the early Universe and detailed atomic physics.


title: (a, 1)f structures on product of spheres

abstract:
  Our aim in this paper is to give some examples of $(a, 1)f$ Riemannian
structures (a generalization of an $r$-paracontact structure) induced on
product of spheres of codimension $r$ ($r \in \{1,2\} $) in an $m$-dimensional
Euclidean space ($m>2$), endowed with an almost product structure.


title: Normal domains with monomial presentations

abstract:
  Let A be a finitely generated commutative algebra over a field K with a
presentation A=K < X_{1}, ..., X_{n} | R >, where R is a set of monomial
relations in the generators X_{1}, ..., X_{n}. So A = K[S], the semigroup
algebra of the monoid S=< X_{1}, ..., X_{n} | R >. We characterize, purely in
terms of the defining relations, when A is an integrally closed domain,
provided R contains at most two relations. Also the class group of such
algebras A is calculated.


title: Numerical approximation of the thermistor problem

abstract:
  We use a finite element approach based on Galerkin method to obtain
approximate steady state solutions of the thermistor problem with temperature
dependent electrical conductivity.


title: Multidimensional decay in van der Corput lemma

abstract:
  In this paper we present a multidimensional version of the van der Corput
lemma where the decay of the oscillatory integral is gained with respect to all
space variables, connecting the standard one-dimensional van der Corput lemma
with the stationary phase method.


title:
Regularization of the Singular Inverse Square Potential in Quantum
  Mechanics with a Minimal length

abstract:
  We study the problem of the attractive inverse square potential in quantum
mechanics with a generalized uncertainty relation. Using the momentum
representation, we show that this potential is regular in this framework. We
solve analytically the s-wave bound states equation in terms of Heun's
functions. We discuss in detail the bound states spectrum for a specific form
of the generalized uncertainty relation. The minimal length may be interpreted
as characterizing the dimension of the system.


title: The integral logarithm in Iwasawa theory: an exercise

abstract:
  Let $l$ be an odd prime number and $H$ a finite abelian $l$-group. We
determine the unit group of $\Lambda_\wedge[H]$ (the completion of the
localization at $l$ of $\Bbb{Z}_l[[T]][H]$) as well as the kernel and cokernel
of the integral logarithm $L:\Lambda_\wedge[H]^\times\to \Lambda_\wedge[H]$,
which appears in non-commutative Iwasawa theory.


title: Searching for p-modes in MOST Procyon data: Another view

abstract:
  Photometry of Procyon obtained by the MOST satellite in 2004 has been
searched for p modes by several groups, with sometimes contradictory
interpretations. We explore two possible factors that complicate the analysis
and may lead to erroneous reports of p modes in these data. Two methods are
used to illustrate the role of subtle instrumental effects in the photometry:
time-frequency analysis, and a search for regularly spaced peaks in a Fourier
spectrum based on the echelle diagramme approach. We find no convincing
evidence of a p-mode signal in the MOST Procyon data. We can account for an
apparent excess of power close to the p-mode frequency range and signs of
structure in an echelle diagramme in terms of instrumental effects.


title: Hydrogen deficient donors in low-mass X-ray binaries

abstract:
  A number of X-ray binaries (neutron stars or black holes accreting from a
companion star) have such short orbital periods that ordinary, hydrogen rich,
stars do not fit in. Instead the mass-losing star must be a compact, evolved
star, leading to the transfer of hydrogen deficient material to the neutron
star. I discuss the current knowledge of these objects, with focus on optical
spectroscopy.


title: Randomness and Complexity in Networks

abstract:
  I start by reviewing some basic properties of random graphs. I then consider
the role of random walks in complex networks and show how they may be used to
explain why so many long tailed distributions are found in real data sets. The
key idea is that in many cases the process involves copying of properties of
near neighbours in the network and this is a type of short random walk which in
turn produce a natural preferential attachment mechanism. Applying this to
networks of fixed size I show that copying and innovation are processes with
special mathematical properties which include the ability to solve a simple
model exactly for any parameter values and at any time. I finish by looking at
variations of this basic model.


title: Equivariant Iwasawa theory: an example

abstract:
  The equivariant `main conjecture' of Iwasawa theory is shown to hold for a
Galois extension $K/k$ of number fields with Galois group an $l$-adic pro-$l$
Lie group of dimension 1 containing an abelian subgroup of index $l$, provided
that Iwasawa's $\mu$-invariant $\mu(K/k)$ vanishes.


title:
An open problem in complex analytic geometry arising in harmonic
  analysis

abstract:
  In this paper, an open problem in the multidimensional complex analysis is
pesented that arises in the investigation of the regularity properties of
Fourier integral operators and in the regularity theory for hyperbolic partial
differential equations. The problem is discussed in a self-contained elementary
way and some results towards its resolution are presented. A conjecture
concerning the structure of appearing affine fibrations is formulated.


title: Quantum computing with a single molecular ensemble and a Cooper pair box

abstract:
  We propose to encode quantum information in rotational excitations in a
molecular ensemble. Using a stripline cavity field for quantum state transfer
between the molecular ensemble and a Cooper pair box two-level system, our
proposal offers a linear scaling of the number of qubits in our register with
the number of rotationally excited states available in the molecules.


title: Exploring the Composition of Unit Test Suites

abstract:
  In agile software development, test code can considerably contribute to the
overall source code size. Being a valuable asset both in terms of verification
and documentation, the composition of a test suite needs to be well understood
in order to identify opportunities as well as weaknesses for further evolution.
In this paper, we argue that the visualization of structural characteristics is
a viable means to support the exploration of test suites. Thanks to general
agreement on a limited set of key test design principles, such visualizations
are relatively easy to interpret. In particular, we present visualizations that
support testers in (i) locating test cases; (ii) examining the relation between
test code and production code; and (iii) studying the composition of and
dependencies within test cases. By means of two case studies, we demonstrate
how visual patterns help to identify key test suite characteristics. This
approach forms the first step in assisting a developer to build up
understanding about test suites beyond code reading.


title: On Fixed-multiplicity Corrections to Correlators

abstract:
  Correction terms generated in the correlator analysis due to
multiplicity-dependent observable mean are investigated. A procedure for
subtraction of such terms from calculated correlator estimates is suggested and
the obtained results are discussed.


title: Fractional conservation laws in optimal control theory

abstract:
  Using the recent formulation of Noether's theorem for the problems of the
calculus of variations with fractional derivatives, the Lagrange multiplier
technique, and the fractional Euler-Lagrange equations, we prove a Noether-like
theorem to the more general context of the fractional optimal control. As a
corollary, it follows that in the fractional case the autonomous Hamiltonian
does not define anymore a conservation law. Instead, it is proved that the
fractional conservation law adds to the Hamiltonian a new term which depends on
the fractional-order of differentiation, the generalized momentum, and the
fractional derivative of the state variable.


title: Studying pion effects in the quark propagator

abstract:
  Within the framework of Schwinger-Dyson and Bethe-Salpeter equations we
investigate the importance of pions for the quark-gluon interaction. To this
end we choose a truncation for the quark-gluon vertex that includes
intermediate pion degrees of freedom and adjust the interaction such that
unquenched lattice results for various current quark masses are reproduced. The
corresponding Bethe-Salpeter kernel is constructed from constraints by chiral
symmetry. After extrapolation to the physical point we find a considerable
contribution of the pion back reaction to the quark mass function as well as to
the chiral condensate. The quark wave function is less affected.


title: First detection of a minor merger a z~0.6

abstract:
  Numerical simulations predict that minor mergers are an important channel for
the mass assembly of galaxies. However, minor mergers are relatively difficult
to detect using imaging, especially at high redshift. While such events are
much less violent than major mergers, they can nevertheless leave several
features on the kinematical structures of remnant galaxies which could be
detected using 3D spectroscopy. We present the first direct detection of a
minor merger in a z~0.6 galaxy. Such events could indeed be good candidates to
explain the kinematics of perturbed rotating disks observed with GIRAFFE at
z~0.6. We present photometric and kinematical evidence of such an event in a
combined analysis of three-band HST/ACS imaging and VLT/GIRAFFE 2D-kinematics.
Using these data, we are able to demonstrate that a minor merger of a
relatively small satellite (mass ratio ~1:18) is occurring in this galaxy. We
also derive a total SFR ~21Mo/yr. Minor mergers could be one of the physical
processes explaining the kinematics of perturbed rotating disks, which
represent ~25% of emission line intermediate mass galaxies at z~0.6. 3D
spectroscopy appears to be a very good tool to identify minor mergers in
distant (and local) galaxies.


title:
Singularity Structure and Stability Analysis of the Dirac Equation on
  the Boundary of the Nutku Helicoid Solution

abstract:
  Dirac equation written on the boundary of the Nutku helicoid space consists
of a system of ordinary differential equations. We tried to analyze this system
and we found that it has a higher singularity than those of the Heun's
equations which give the solutions of the Dirac equation in the bulk. We also
lose an independent integral of motion on the boundary. This facts explain why
we could not find the solution of the system on the boundary in terms of known
functions. We make the stability analysis of the helicoid and catenoid cases
and end up with an appendix which gives a new example where one encounters a
form of the Heun equation.


title: A Newman-Penrose Calculator for Instanton Metrics

abstract:
  We present a Maple11+GRTensorII based symbolic calculator for instanton
metrics using Newman-Penrose formalism. Gravitational instantons are exact
solutions of Einstein's vacuum field equations with Euclidean signature. The
Newman-Penrose formalism, which supplies a toolbox for studying the exact
solutions of Einstein's field equations, was adopted to the instanton case and
our code translates it for the computational use.


title: Multiplier ideal sheaves and integral invariants on toric Fano manifolds

abstract:
  We extend Nadel's results on some conditions for the multiplier ideal sheaves
to satisfy which are described in terms of an obstruction defined by the first
author. Applying our extension we can determine the multiplier ideal sheaves on
toric del Pezzo surfaces which do not admit K\"ahler-Einstein metrics. We also
show that one can define multiplier ideal sheaves for K\"ahler-Ricci solitons
and extend the result of Nadel using the holomorphic invariant defined by Tian
and Zhu.


title: Painlev\'e structure of a multi-ion electrodiffusion system

abstract:
  A nonlinear coupled system descriptive of multi-ion electrodiffusion is
investigated and all parameters for which the system admits a single-valued
general solution are isolated. This is achieved \textit{via} a method initiated
by Painleve' with the application of a test due to Kowalevski and Gambier. The
solutions can be obtained explicitly in terms of Painleve' transcendents or
elliptic functions.


title: Billiard scattering on rough sets: two-dimensional case

abstract:
  The notion of a rough two-dimensional (convex) body is introduced, and to
each rough body there is assigned a measure on $\TTT^3$ describing billiard
scattering on the body. The main result is characterization of the set of
measures generated by rough bodies. This result can be used to solve various
problems of least aerodynamical resistance.


title:
On the stochastic Burgers equation with some applications to turbulence
  and astrophysics

abstract:
  We summarise a selection of results on the inviscid limit of the stochastic
Burgers equation emphasising geometric properties of the caustic, Maxwell set
and Hamilton-Jacobi level surfaces and relating these results to a discussion
of stochastic turbulence. We show that for small viscosities there exists a
vortex filament structure near to the Maxwell set. We discuss how this
vorticity is directly related to the adhesion model for the evolution of the
early universe and include new explicit formulas for the distribution of mass
within the shock.


title: PIDoc: Wiki style Literate Programming for Prolog

abstract:
  This document introduces PlDoc, a literate programming system for Prolog.
Starting point for PlDoc was minimal distraction from the programming task and
maximal immediate reward, attempting to seduce the programmer to use the
system. Minimal distraction is achieved using structured comments that are as
closely as possible related to common Prolog documentation practices. Immediate
reward is provided by a web interface powered from the Prolog development
environment that integrates searching and browsing application and system
documentation. When accessed from localhost, it is possible to go from
documentation shown in a browser to the source code displayed in the user's
editor of choice.


title: Reflected BSDE with quadratic growth and unbounded terminal value

abstract:
  In this paper we prove the existence of a solution for reflected BSDE's\
whose coefficient is of quadratic growth in $z$ and of linear growth in $y$,
with an unbounded terminal value.


title: Formulating Light Cone QCD on the Lattice

abstract:
  We present the near light cone Hamiltonian $H$ in lattice QCD depending on
the parameter $\eta$, which gives the distance to the light cone. Since the
vacuum has zero momentum we can derive an effective Hamiltonian $H_{eff}$ from
$H$ which is only quadratic in the momenta and therefore solvable by standard
methods. An approximate ground state wave functional is determined
variationally in the limit $\eta \to 0$.


title: The Starburst-AGN connection: The role of stellar clusters in AGNs

abstract:
  Nuclear stellar clusters are a common phenomenon in spirals and in starbursts
galaxies, and they may be a natural consequence of the star formation processes
in the central regions of galaxies. HST UV imaging of a few Seyfert 2 galaxies
have resolved nuclear starbursts in Seyfert 2 revealing stellar clusters as the
main building blocks of the extended emission. However, we do not know whether
stellar clusters are always associated with all types of nuclear activity. We
present NUV and optical images provided by HST to find out the role that
stellar clusters play in different types of AGNs (Seyferts and LLAGNs). Also
with these images, we study the circumnuclear dust morphology as a probe of the
circumnuclear environment of AGNs. Here we present a summary of the the first
results obtained for the sample of Seyferts and LLAGN galaxies.


title: Excited hadrons on the lattice - State of the art and future challenges

abstract:
  We review the techniques of lattice QCD calculations for excited hadrons with
light quarks and outline the future challenges that are faced in calculations
with fully dynamical fermions.


title: Alternating Heisenberg Spin-1/2 Chains in a Transverse Magnetic Field

abstract:
  The ground state phase diagram of the alternating spin-1/2 chains with
anisotropic ferromagnetic coupling under the influence of a symmetry breaking
transverse magnetic field is studied. We have used the exact diagonalization
technique. In the limit where the antiferromagnetic coupling is dominant, we
have identified two Ising-type quantum phase transitions. We have calculated
two critical fields $h_{c_{1}}$ and
  $h_{c_{2}}$, corresponding to the transition between different magnetic
phases of the system. It is found that the intermediate state
($h_{c_{1}}<h<h_{c_{2}}$) is gapful, describing the stripe-antiferromagnetic
phase.


title: Electronic Correlations within Fermionic Lattice Models

abstract:
  We investigate two-site electronic correlations within generalized Hubbard
model, which incorporates the conventional Hubbard model (parameters: $t$
(hopping between nearest neighbours), $U$ (Coulomb repulsion (attraction))
supplemented by the intersite Coulomb interactions (parameters:
$J^{(1)}$(parallel spins), $J^{(2)}$ (antiparellel spins)) and the hopping of
the intrasite Cooper pairs (parameter: $V$). As a first step we find the
eigenvalues $E_{\alpha} $ and eigenvectors $|E_{\alpha}>$ of the dimer and we
represent each partial Hamiltonian $E_{\alpha} |E_{\alpha} > < E_{\alpha} |$
($\alpha =1,2,..,16$) in the second quantization with the use of the Hubbard
and spin operators. Each dimer energy level possesses its own Hamiltonian
describing different two-site interactions which can be active only in the case
when the level will be occupied by the electrons. A typical feature is the
appearence of two generalized $t-J$ interactions ascribed to two different
energy levels which do not vanish even for $% U=J^{(1)}=J^{(2)}=V=0$ and their
coupling constants are equal to $\pm t$ in this case. The competition between
ferromagnetism, antiferromagnetism and superconductivity (intrasite and
intersite pairings) is also a typical feature of the model because it persists
in the case $U=J^{(1)}=J^{(2)}=V=0$ and $t\neq 0$. The same types of the
electronic, competitive interactions are scattered between different energy
levels and therefore their thermodynamical activities are dependent on the
occupation of these levels. It qualitatively explains the origin of the phase
diagram of the model. We consider also a real lattice as a set of interacting
dimers to show that the competition between magnetism and superconductivity
seems to be universal for fermonic lattice models.


title:
One-loop corrections to the Drell--Yan process in SANC (II). The neutral
  current case

abstract:
  Radiative corrections to the neutral current Drell--Yan-like processes are
considered. Complete one-loop electroweak corrections are calculated within the
SANC system. Theoretical uncertainties are discussed. Numerical results are
presented for typical conditions of LHC experiments.


title: Lifting Measures to Inducing Schemes

abstract:
  In this paper we study the liftability property for piecewise continuous maps
of compact metric spaces, which admit inducing schemes in the sense of Pesin
and Senti [PS05, PS06]. We show that under some natural assumptions on the
inducing schemes - which hold for many known examples - any invariant ergodic
Borel probability measure of sufficiently large entropy can be lifted to the
tower associated with the inducing scheme. The argument uses the construction
of connected Markov extensions due to Buzzi [Buz99], his results on the
liftability of measures of large entropy, and a generalization of some results
by Bruin [Bru95] on relations between inducing schemes and Markov extensions.
We apply our results to study the liftability problem for one-dimensional cusp
maps (in particular, unimodal and multimodal maps) and for some
multidimensional maps.


title: Infinite dimensional Lie algebras in 4D conformal quantum field theory

abstract:
  The concept of global conformal invariance (GCI) opens the way of applying
algebraic techniques, developed in the context of 2-dimensional chiral
conformal field theory, to a higher (even) dimensional space-time. In
particular, a system of GCI scalar fields of conformal dimension two gives rise
to a Lie algebra of harmonic bilocal fields, V_m(x,y), where the m span a
finite dimensional real matrix algebra M closed under transposition. The
associative algebra M is irreducible iff its commutant M' coincides with one of
the three real division rings. The Lie algebra of (the modes of) the bilocal
fields is in each case an infinite dimensional Lie algebra: a central extension
of sp(infty,R) corresponding to the field R of reals, of u(infty,infty)
associated to the field C of complex numbers, and of so*(4 infty) related to
the algebra H of quaternions. They give rise to quantum field theory models
with superselection sectors governed by the (global) gauge groups O(N), U(N),
and U(N,H)=Sp(2N), respectively.


title: Pole structure and biharmonic fields in conformal QFT in four dimensions

abstract:
  Imposing Huygens' Principle in a 4D Wightman QFT puts strong constraints on
its algebraic and analytic structure. These are best understood in terms of
``biharmonic fields'', whose properties reflect the presence of infinitely many
conserved tensor currents. In particular, a universal third-order partial
differential equation is derived for the most singular parts of connected
scalar correlation functions. This PDE gives rise to novel restrictions on the
pole structure of higher correlation functions. An example of a six-point
function is presented that cannot arise from free fields. This example is
exploited to study the locality properties of biharmonic fields.


title:
Distributions of individual Dirac eigenvalues for QCD at non-zero
  chemical potential: RMT predictions and lattice results

abstract:
  For QCD at non-zero chemical potential $\mu$, the Dirac eigenvalues are
scattered in the complex plane. We define a notion of ordering for individual
eigenvalues in this case and derive the distributions of individual eigenvalues
from random matrix theory (RMT). We distinguish two cases depending on the
parameter $\alpha=\mu^2 F^2 V$, where $V$ is the volume and $F$ is the familiar
low-energy constant of chiral perturbation theory. For small $\alpha$, we use a
Fredholm determinant expansion and observe that already the first few terms
give an excellent approximation. For large $\alpha$, all spectral correlations
are rotationally invariant, and exact results can be derived. We compare the
RMT predictions to lattice data and in both cases find excellent agreement in
the topological sectors $\nu=0,1,2$.


title:
Equivalence between quantum simultaneous games and quantum sequential
  games

abstract:
  A framework for discussing relationships between different types of games is
proposed. Within the framework, quantum simultaneous games, finite quantum
simultaneous games, quantum sequential games, and finite quantum sequential
games are defined. In addition, a notion of equivalence between two games is
defined. Finally, the following three theorems are shown: (1) For any quantum
simultaneous game G, there exists a quantum sequential game equivalent to G.
(2) For any finite quantum simultaneous game G, there exists a finite quantum
sequential game equivalent to G. (3) For any finite quantum sequential game G,
there exists a finite quantum simultaneous game equivalent to G.


title: Skorohod-reflection of Brownian Paths and BES^3

abstract:
  Let B(t), X(t) and Y(t) be independent standard 1d Borwnian motions. Define
X^+(t) and Y^-(t) as the trajectories of the processes X(t) and Y(t) pushed
upwards and, respectively, downwards by B(t), according to Skorohod-reflection.
In a recent paper, Jon Warren proves inter alia that Z(t):= X^+(t)-Y^-(t) is a
three-dimensional Bessel-process. In this note, we present an alternative,
elementary proof of this fact.


title: Memorandum on Dimension Formulas for Spaces of Jacobi Forms

abstract:
  We state ready to compute dimension formulas for the spaces of Jacobi cusp
forms of integral weight $k$ and integral scalar index $m$ on subgroups of
$\SL$.


title: Gravitational Lensing Analyzed by Graded Refractive Index of Vacuum

abstract:
  We found strong similarities between the gravitational lensing and the
conventional optical lensing. The similarities imply a graded refractive index
description of the light deflection in gravitational field. We got a general
approach to this refractive index in a static spherically symmetric
gravitational field and obtained its exterior and interior solutions exactly
through the general relativity. In weak field case, the two solutions come to a
simple unified exponential function of the gravitational potential. With these
results, the gravitational lensing can be analyzed in a convenient optical way.
Especially, the long puzzling problem of the central image missing can be
solved easily. We also pointed out that the graded refraction property of the
gravitational spacetime is related to the vacuum influenced by the
gravitational matter.


title: Poincare polynomials of moduli spaces of stable bundles over curves

abstract:
  Given a curve over a finite field, we compute the number of stable bundles of
not necessarily coprime rank and degree over it. We apply this result to
compute the virtual Poincare polynomials of the moduli spaces of stable bundles
over a curve. A similar formula for the virtual Hodge polynomials and motives
is conjectured.


title: Spectral flow and iteration of closed semi-Riemannian geodesics

abstract:
  We introduce the notion of spectral flow along a periodic semi-Riemannian
geodesic, as a suitable substitute of the Morse index in the Riemannian case.
We study the growth of the spectral flow along a closed geodesic under
iteration, determining its asymptotic behavior.


title:
On the Relation Between Mechanisms for Single-Transverse-Spin
  Asymmetries

abstract:
  Recent studies have shown that two widely-used mechanisms for
single-transverse-spin asymmetries based on either twist-three contributions or
on transverse-momentum-dependent (Sivers) parton distributions become identical
in a kinematical regime of overlap. This was demonstrated for the so-called
soft-gluon-pole and hard-pole contributions to the asymmetry associated with a
particular quark-gluon correlation function in the nucleon. In this paper,
using semi-inclusive deep inelastic scattering as an example, we extend the
study to the contributions by soft-fermion poles and by another independent
twist-three correlation function. We find that these additional terms organize
themselves in such a way as to maintain the mutual consistency of the two
mechanisms for single-spin asymmetries.


title:
Symmetry breaking and quantum correlations in finite systems: Studies of
  quantum dots and ultracold Bose gases and related nuclear and chemical
  methods

abstract:
  Investigations of emergent symmetry breaking phenomena occurring in small
finite-size systems are reviewed, with a focus on the strongly correlated
regime of electrons in two-dimensional semicoductor quantum dots and trapped
ultracold bosonic atoms in harmonic traps. Throughout the review we emphasize
universal aspects and similarities of symmetry breaking found in these systems,
as well as in more traditional fields like nuclear physics and quantum
chemistry, which are characterized by very different interparticle forces. A
unified description of strongly correlated phenomena in finite systems of
repelling particles (whether fermions or bosons) is presented through the
development of a two-step method of symmetry breaking at the unrestricted
Hartree-Fock level and of subsequent symmetry restoration via post Hartree-Fock
projection techniques. Quantitative and qualitative aspects of the two-step
method are treated and validated by exact diagonalization calculations.
  Strongly-correlated phenomena emerging from symmetry breaking include: (I)
Chemical bonding, dissociation, and entanglement (at zero and finite magnetic
fields) in quantum dot molecules and in pinned electron molecular dimers formed
within a single anisotropic quantum dot. (II) Electron crystallization, with
particle localization on the vertices of concentric polygonal rings, and
formation of rotating electron molecules (REMs) in circular quantum dots. (III)
At high magnetic fields, the REMs are described by parameter-free analytic wave
functions, which are an alternative to the Laughlin and composite-fermion
approaches. (IV) Crystalline phases of strongly repelling bosons. In rotating
traps and in analogy with the REMs, such repelling bosons form rotating boson
molecules (RBMs).

categories: cond-mat.mes-hall cond-mat.str-el nucl-th physics.atom-ph


title:
Correspondence between field generalized binomial states and coherent
  atomic states

abstract:
  We show that the $N$-photon generalized binomial states of electromagnetic
field may be put in a bijective mapping with the coherent atomic states of $N$
two-level atoms. We exploit this correspondence to simply obtain both known and
new properties of the $N$-photon generalized binomial states. In particular, an
over-complete basis of these binomial states and an orthonormal basis are
obtained. Finally, the squeezing properties of generalized binomial state are
analyzed.


title:
Magnetization easy-axis in martensitic Heusler alloys estimated by
  strain measurements under magnetic-field

abstract:
  We study the temperature dependence of strain under constant magnetic-fields
in Ni-Mn based ferromagnetic Heusler alloys in the form Ni-Mn-$X$ ($X$: Ga, In,
Sn, Sb) which undergo a martensitic transformation. We discuss the influence of
the applied magnetic-field on the nucleation of ferromagnetic martensite and
extract information on the easy-axis of magnetization in the martensitic state.


title: On the origin of the reversed vortex ratchet motion

abstract:
  We experimentally demonstrate that the origin of multiply reversed rectified
vortex motion in an asymmetric pinning landscape is a consequence not only of
the vortex-vortex interactions but also essentially depends on the ratio
between the characteristic interaction distance and the period of the
asymmetric pinning potential. Our system consists of an Al film deposited on
top of a square array of size-graded magnetic dots with a constant lattice
period a=2\mu m. Four samples with different periods of the size gradient d
were investigated. For large d the dc voltage Vdc recorded under a sinusoidal
ac excitation indicates that the average vortex drift is from bigger to smaller
dots for all explored positive fields. As d is reduced a series of sign
reversals in the dc response are observed as a function of field. We show that
the number of sign reversals increases as d decreases. These findings are in
agreement with recent computer simulations and illustrate the relevance of the
different characteristic lengths for the vortex rectification effects.


title: HJB equations for certain singularly controlled diffusions

abstract:
  Given a closed, bounded convex set $\mathcal{W}\subset{\mathbb {R}}^d$ with
nonempty interior, we consider a control problem in which the state process $W$
and the control process $U$ satisfy \[W_t= w_0+\int_0^t\vartheta(W_s)
ds+\int_0^t\sigma(W_s) dZ_s+GU_t\in \mathcal{W},\qquad t\ge0,\] where $Z$ is a
standard, multi-dimensional Brownian motion, $\vartheta,\sigma\in
C^{0,1}(\mathcal{W})$, $G$ is a fixed matrix, and $w_0\in\mathcal{W}$. The
process $U$ is locally of bounded variation and has increments in a given
closed convex cone $\mathcal{U}\subset{\mathbb{R}}^p$. Given $g\in
C(\mathcal{W})$, $\kappa\in{\mathbb{R}}^p$, and $\alpha>0$, consider the
objective that is to minimize the cost
\[J(w_0,U)\doteq\mathbb{E}\biggl[\int_0^{\infty}e^{-\alpha s}g(W_s)
ds+\int_{[0,\infty)}e^{-\alpha s} d(\kappa\cdot U_s)\biggr]\] over the
admissible controls $U$. Both $g$ and $\kappa\cdot u$ ($u\in\mathcal{U}$) may
take positive and negative values. This paper studies the corresponding dynamic
programming equation (DPE), a second-order degenerate elliptic partial
differential equation of HJB-type with a state constraint boundary condition.
Under the controllability condition $G\mathcal{U}={\mathbb{R}}^d$ and the
finiteness of $\mathcal{H}(q)=\sup_{u\in\mathcal{U}_1}\{-Gu\cdot q-\kappa\cdot
u\}$, $q\in {\mathbb{R}}^d$, where $\mathcal{U}_1=\{u\in\mathcal{U}:|Gu|=1\}$,
we show that the cost, that involves an improper integral, is well defined. We
establish the following: (i) the value function for the control problem
satisfies the DPE (in the viscosity sense), and (ii) the condition
$\inf_{q\in{\mathbb{R}}^d}\mathcal{H}(q)<0$ is necessary and sufficient for
uniqueness of solutions to the DPE. The existence and uniqueness of solutions
are shown to be connected to an intuitive ``no arbitrage'' condition. Our
results apply to Brownian control problems that represent formal diffusion
approximations to control problems associated with stochastic processing
networks.


title: Geodetic Line at Constant Altitude above the Ellipsoid

abstract:
  The two-dimensional surface of a bi-axial ellipsoid is characterized by the
lengths of its major and minor axes. Longitude and latitude span an angular
coordinate system across. We consider the egg-shaped surface of constant
altitude above (or below) the ellipsoid surface, and compute the geodetic lines
- lines of minimum Euclidean length - within this surface which connect two
points of fixed coordinates. This addresses the common "inverse" problem of
geodesics generalized to non-zero elevations. The system of differential
equations which couples the two angular coordinates along the trajectory is
reduced to a single integral, which is handled by Taylor expansion up to fourth
power in the eccentricity.


title: A parallel gravitational N-body kernel

abstract:
  We describe source code level parallelization for the {\tt kira} direct
gravitational $N$-body integrator, the workhorse of the {\tt starlab}
production environment for simulating dense stellar systems. The
parallelization strategy, called ``j-parallelization'', involves the partition
of the computational domain by distributing all particles in the system among
the available processors. Partial forces on the particles to be advanced are
calculated in parallel by their parent processors, and are then summed in a
final global operation. Once total forces are obtained, the computing elements
proceed to the computation of their particle trajectories. We report the
results of timing measurements on four different parallel computers, and
compare them with theoretical predictions. The computers employ either a
high-speed interconnect, a NUMA architecture to minimize the communication
overhead or are distributed in a grid. The code scales well in the domain
tested, which ranges from 1024 - 65536 stars on 1 - 128 processors, providing
satisfactory speedup. Running the production environment on a grid becomes
inefficient for more than 60 processors distributed across three sites.


title: Empirics versus RMT in financial cross-correlations

abstract:
  In order to pursue the issue of the relation between the financial
cross-correlations and the conventional Random Matrix Theory we analyse several
characteristics of the stock market correlation matrices like the distribution
of eigenvalues, the cross-correlations among signs of the returns, the
volatility cross-correlations, and the multifractal characteristics of the
principal values. The results indicate that the stock market dynamics is not
simply decomposable into 'market', 'sectors', and the Wishart random bulk. This
clearly is seen when the time series used to construct the correlation matrices
are sufficiently long and thus the measurement noise suppressed. Instead, a
hierarchically convoluted and highly nonlinear organization of the market
emerges and indicates that the relevant information about the whole market is
encoded already in its constituents.


title:
Non-conservative Noether's theorem for fractional action-like
  variational problems with intrinsic and observer times

abstract:
  We extend Noether's symmetry theorem to fractional action-like variational
problems with higher-order derivatives.


title: Josephson junctions as detectors for non-Gaussian noise

abstract:
  Non-Gaussian fluctuations of the electrical current can be detected with a
Josephson junction placed on-chip with the noise source. We present preliminary
measurements with an NIS junction as a noise source, and a Josephson junction
in the thermal escape regime as a noise detector. It is shown that the
Josephson junction detects not only the average noise, which manifests itself
as an increased effective temperature, but also the noise asymmetry. A
theoretical description of the thermal escape of a Josephson junction in
presence of noise with a non-zero third cumulant is presented, together with
numerical simulations when the noise source is a tunnel junction with Poisson
noise. Comparison between experiment and theory is discussed.


title: Scandium: A key element for understanding Am stars

abstract:
  {\rm Context.} Atomic diffusion is believed to cause the abundance anomalies
observed in AmFm stars. However, the detailed process has still not been
well-established. For instance, two possible scenarios for the diffusion theory
are presently envisaged. They differ mainly by the depth from which the
abundance anomalies emanate. The first scenario predicts that the abundances
are modified in the superficial regions of the star, just below the hydrogen
convection zone. The second scenario predicts that a much deeper extension of
the mixing zone exists due to the convection caused by Fe accumulation in
regions below the hydrogen convection zone. {\rm Aims.} We calculate much more
accurate radiative accelerations of Sc than previously, to better understand
the observed abundance anomalies of this element. We believe that it is a key
element to use as a diagnostic tool for understanding AmFm stars.
  {\rmMethods.} The method employed to obtain these radiative accelerations is
based on an interpolation from the parameters of the so-called SVP parametric
method.
  {\rm Results.} The radiative accelerations, shown here in a typical Am
stellar model, are discussed in light of the observed anomalies of Ca and Sc.
Our results suggest that the deeper mixing scenario is not entirely
satisfactory: the mixing zone should be deeper than what is predicted by recent
models to account for observed Sc underabundances. Our results seem more
compatible with the scenario where the abundances anomalies are created in the
superficial regions. However, only detailed evolutionary modelling with mass
loss and diffusion of all important species, including Ca and Sc, with accurate
radiative accelerations, will be able to give more insight into where the
source of these anomalies occur in AmFm stars.


title:
INTEGRAL observations of PSR J1811-1925 and its associated Pulsar Wind
  Nebula

abstract:
  We present spectral measurements made in the soft (20-100 keV) gamma-ray band
of the region containing the composite supernova remnant G11.2-0.3 and its
associated pulsar PSR J1811-1925. Analysis of INTEGRAL/IBIS data allows
characterisation of the system above 10 keV. The IBIS spectrum is best fitted
by a power law having photon index of 1.8^{+0.4}_{-0.3} and a 20-100 keV flux
of 1.5E{-11} erg/cm^2/s. Analysis of archival Chandra data over different
energy bands rules out the supernova shell as the site of the soft gamma-ray
emission while broad band (1-200 keV) spectral analysis strongly indicates that
the INTEGRAL/IBIS photons originate in the central zone of the system which
contains both the pulsar and its nebula. The composite X-ray and soft gamma-ray
spectrum indicates that the pulsar provides around half of the emission seen in
the soft gamma-ray domain; its spectrum is hard with no sign of a cut off up to
at least 80 keV. The other half of the emission above 10 keV comes from the
PWN; with a power law slope of 1.7 its spectrum is softer than that of the
pulsar. From the IBIS/ISGRI mosaics we are able to derive 2 sigma upper limits
for the 20-100 keV flux from the location of the nearby TeV source HESS
J1809-193 to be 4.8E{-12} erg/cm^2/s. We have also examined the likelihood of
an association between PSR J1811-1925 and HESS J1809-193. Although PSR
J1811-1925 is the most energetic pulsar in the region, the only one detected
above 10 keV and thus a possible source of energy to fuel the TeV fluxes, there
is no morphological evidence to support this pairing, making it an unlikely
counterpart.


title:
Survival and complete convergence for a spatial branching system with
  local regulation

abstract:
  We study a discrete time spatial branching system on $\mathbb{Z}^d$ with
logistic-type local regulation at each deme depending on a weighted average of
the population in neighboring demes. We show that the system survives for all
time with positive probability if the competition term is small enough. For a
restricted set of parameter values, we also obtain uniqueness of the nontrivial
equilibrium and complete convergence, as well as long-term coexistence in a
related two-type model. Along the way we classify the equilibria and their
domain of attraction for the corresponding deterministic coupled map lattice on
$\mathbb{Z}^d$.


title: The role of Surface Plasmon modes in the Casimir Effect

abstract:
  In this paper we study the role of surface plasmon modes in the Casimir
effect. First we write the Casimir energy as a sum over the modes of a real
cavity. We may identify two sorts of modes, two evanescent surface plasmon
modes and propagative modes. As one of the surface plasmon modes becomes
propagative for some choice of parameters we adopt an adiabatic mode definition
where we follow this mode into the propagative sector and count it together
with the surface plasmon contribution, calling this contribution "plasmonic".
The remaining modes are propagative cavity modes, which we call "photonic". The
Casimir energy contains two main contributions, one coming from the plasmonic,
the other from the photonic modes. Surprisingly we find that the plasmonic
contribution to the Casimir energy becomes repulsive for intermediate and large
mirror separations. Alternatively, we discuss the common surface plasmon
defintion, which includes only evanescent waves, where this effect is not
found. We show that, in contrast to an intuitive expectation, for both
definitions the Casimir energy is the sum of two very large contributions which
nearly cancel each other. The contribution of surface plasmons to the Casimir
energy plays a fundamental role not only at short but also at large distances.


title: NGC 5128 as an isotropic rotator

abstract:
  NGC 5128 is a well-studied elliptical galaxy with an excellent kinematic data
set for planetary nebulae which has been modelled up till now only by solving
the Jeans equation for spherical systems. As a first approximation beyond
spherical symmetry we model the galaxy as an axisymmetric system flattened by
rotation with isotropic velocity distribution. We propose a new version of such
an isotropic rotator having cuspy density profile with NFW-like behavior. The
solutions of the Jeans equations for a single component of such form do not
reproduce the data well: the rotation curve rises too slowly with radius and
the velocity dispersion profile drops too fast. The data are well fitted
however by a system built with two components: a more compact, flattened, less
massive, fast-rotating and cold `bulge' and an extended, almost spherical, more
massive, slow-rotating and hot `halo'. This picture agrees well with the
results of recent N-body simulations of galaxy mergers which tend to produce
oblate rotating spheroids. The total mass of the system is estimated to be (9.1
+/- 3.5) x 10^11 solar masses and the mass-to-light ratio is only 26 +/- 17
solar units.


title: Energy distribution in nonaxisymmetric magnetic Taylor-Couette flow

abstract:
  Azimuthal magnetorotational instability is a mechanism that generates
nonaxisymmetric field pattern. Nonlinear simulations in an infinite
Taylor-Couette system with current-free external field show, that not only the
linearly unstable mode m=1 appears, but also an inverse cascade transporting
energy into the axisymmetric field is possible. By varying the Reynolds number
of the flow and the Hartmann number for the magnetic field, we find that the
ratio between axisymmetric (m=0) and dominating nonaxisymmetric mode (m=1) can
be nearly free chosen. On the surface of the outer cylinder this mode
distribution appears similarly, but with weaker axisymmetric fields. We do not
find significant differences in the case that a constant current within the
flow is added.


title: Destroying superfluidity by rotating a Fermi gas at unitarity

abstract:
  We study the effect of the rotation on a harmonically trapped Fermi gas at
zero temperature under the assumption that vortices are not formed. We show
that at unitarity the rotation produces a phase separation between a non
rotating superfluid (S) core and a rigidly rotating normal (N) gas. The
interface between the two phases is characterized by a density discontinuity
$n_{\rm N}/n_{\rm S}= 0.85$, independent of the angular velocity. The depletion
of the superfluid and the angular momentum of the rotating configuration are
calculated as a function of the angular velocity. The conditions of stability
are also discussed and the critical angular velocity for the onset of a
spontaneous quadrupole deformation of the interface is evaluated.


title: Point-form quantum field theory and meson form factors

abstract:
  We shortly review point-form quantum field theory, i.e. the canonical
quantization of a relativistic field theory on a Lorentz-invariant surface of
the form $x_\mu x^\mu = \tau^2$. As an example of how point-form quantum field
theory may enter the framework of relativistic quantum mechanics we discuss the
calculation of the electromagnetic form factor of a confined quark-antiquark
pair (e.g. the pion).


title: Casimir interaction between absorbing and meta Materials

abstract:
  We investigate the Casimir energy between two dissipative mirrors in term of
a sum over mode formula which can be interpreted by analogy to a quantum
dissipative oscillator. We also show that metamaterials engineered at scales
between the nanometer and the micron seem a promising way to achieve a
repulsive force.


title: Recent lattice results on finite temperature and density QCD, part I

abstract:
  We discuss recent progress made studies of bulk thermodynamics of strongly
interacting matter through lattice simulations of QCD with an almost physical
light and strange quark mass spectrum. We present results on the QCD equation
of state at vanishing and non-vanishing quark chemical potential and show first
results on baryon number and strangeness fluctuations, which might be measured
in event-by-event fluctuations in low energy runs at RHIC as well as at FAIR.


title: The most massive stars in the Arches cluster

abstract:
  We study a sample composed of 28 of the brightest stars in the Arches
cluster. We analyze K-band spectra obtained with the integral field
spectrograph SINFONI on the VLT. Atmosphere models computed with the code
CMFGEN are used to derive the effective temperatures, luminosities, stellar
abundances, mass loss rates and wind terminal velocities. We find that the
stars in our sample are either H-rich WN7-9 stars (WN7-9h) or O supergiants,
two being classified as OIf+. All stars are 2-4 Myr old. There is marginal
evidence for a younger age among the most massive stars. The WN7-9h stars reach
luminosities as large as 2 x 1e6 Lsun, consistent with initial masses of ~ 120
Msun. They are still quite H-rich, but show both N enhancement and C depletion.
They are thus identified as core H-burning objects showing products of the CNO
equilibrium at their surface. Their progenitors are most likely supergiants of
spectral types earlier than O4-6 and initial masses > 60 Msun. Their winds
follow a well defined modified wind momentum - luminosity relation (WLR): this
is a strong indication that they are radiatively driven. Stellar abundances
tend to favor a slightly super solar metallicity, at least for the lightest
metals. We note however that the evolutionary models seem to under-predict the
degree of N enrichment.


title: Resonant particle production in branonium

abstract:
  We study the mechanism of particle production in the world-volume of a probe
anti D6-brane (or D6 with SUSY breaking) moving in the background created by a
fixed stack of $D6$-branes. We show that this may occur in a regime of
parametric resonance when the probe's motion is non-relativistic and it moves
at large distances from the source branes in low eccentricity orbits. This
leads to an exponential growth of the particle number in the probe's
world-volume and constitutes an effective mechanism for producing very massive
particles. We also analyze the evolution of this system in an expanding
universe and how this affects the development of the parametric resonance. We
discuss the effects of transverse space compactification on the probe's motion,
showing that it leads to the creation of angular momentum in a similar way to
the Affleck-Dine mechanism for baryogenesis. Finally, we describe possible
final states of the system and their potential relevance to cosmology.


title: Confinement, Screening and the Center on S^3 x S^1

abstract:
  We compute the one-loop effective potential for the Polyakov loop on $S^3
times S^1$ for an asymptotically free gauge theory of arbitrary group $G$ and a
generic matter content. We apply this result to study the phase structures of
$G_2$, SO(N) and $Sp(2N)$ gauge theories which turn out to be in qualitative
agreement with the results of lattice calculations. On $S^3 \times S^1$, at
zero temperature, the Polyakov loop is zero for kinematical reasons. For small
but non-zero temperature, the Polyakov loop is still zero if the gauge theory
has an unbroken center, while it acquires a small vacuum expectation value for
gauge theories whose center is trivial or explicitly broken by the presence of
dynamical matter fields. At high temperatures, the saddle point structure of
the effective potential is different from the low temperature case suggesting
that the theory is in the deconfined phase. At finite $N$, the Polyakov loop is
non-zero in the high temperature phase only in theories with no unbroken center
symmetry, consistent with screening of the external charge introduced by the
Polyakov loop and Gauss law on a compact space.


title:
On the Distribution of Penalized Maximum Likelihood Estimators: The
  LASSO, SCAD, and Thresholding

abstract:
  We study the distributions of the LASSO, SCAD, and thresholding estimators,
in finite samples and in the large-sample limit. The asymptotic distributions
are derived for both the case where the estimators are tuned to perform
consistent model selection and for the case where the estimators are tuned to
perform conservative model selection. Our findings complement those of Knight
and Fu (2000) and Fan and Li (2001). We show that the distributions are
typically highly nonnormal regardless of how the estimator is tuned, and that
this property persists in large samples. The uniform convergence rate of these
estimators is also obtained, and is shown to be slower than 1/root(n) in case
the estimator is tuned to perform consistent model selection. An impossibility
result regarding estimation of the estimators' distribution function is also
provided.


title: Recent lattice results on finite temerature and density QCD, part II

abstract:
  We discuss recent progress in studies of QCD thermodynamics with almost
physical light quark masses and a physical value of the strange quark mass. We
summarize results on the transition temperature in QCD and analyze the relation
between deconfinement and chiral symmetry restoration.


title: Superconductors as ideal spin sources for spintronics

abstract:
  Spin-polarized transport is investigated in normal metal-superconductor (NS)
junctions as a function of interface transmissivity as well as temperature when
the density of states of a superconductor is Zeeman-split in response to an
exchange field (h_exc). Similarly to the "absolute spin-valve effect" predicted
by D. Huertas-Hernando et al. [Phys. Rev. Lett. 88, 047003 (2002)] in
superconducting proximity structures, we show that NS junctions can be used to
generate highly spin-polarized currents, in alternative to half-metallic
ferromagnets. In particular, the spin-polarized current obtained is largely
tunable in magnitude and sign by acting on bias voltage and h_exc. While for
tunnel contacts the current polarization can be as high as 100%, for
transparent junctions it is dominated by the minority spin species. The effect
can be enhanced by electron "cooling" provided by the superconducting gap.


title:
Averaging out magnetic forces with fast rf-sweeps in an optical trap for
  metastable chromium atoms

abstract:
  We introduce a novel type of time-averaged trap, in which the internal state
of the atoms is rapidly modulated to modify magnetic trapping potentials. In
our experiment, fast radiofrequency (rf) linear sweeps flip the spin of atoms
at a fast rate, which averages out magnetic forces. We use this procedure to
optimize the accumulation of metastable chomium atoms into an optical dipole
trap from a magneto-optical trap. The potential experienced by the metastable
atoms is identical to the bare optical dipole potential, so that this procedure
allows for trapping all magnetic sublevels, hence increasing by up to 80
percent the final number of accumulated atoms.


title:
Optimality of minimum-error discrimination by the no-signalling
  condition

abstract:
  In this work we relate the well-known no-go theorem that two non-orthogonal
(mixed) quantum states cannot be perfectly discriminated, to the general
principle in physics, the no-signalling condition. In fact, we derive the
minimum error in discrimination between two quantum states, using the
no-signalling condition.


title:
A class of self-similar stochastic processes with stationary increments
  to model anomalous diffusion in physics

abstract:
  In this paper we present a general mathematical construction that allows us
to define a parametric class of $H$-sssi stochastic processes (self-similar
with stationary increments), which have marginal probability density function
that evolves in time according to a partial integro-differential equation of
fractional type. This construction is based on the theory of finite measures on
functional spaces. Since the variance evolves in time as a power function,
these $H$-sssi processes naturally provide models for slow and fast anomalous
diffusion. Such a class includes, as particular cases, fractional Brownian
motion, grey Brownian motion and Brownian motion.


title:
Discriminative Phoneme Sequences Extraction for Non-Native Speaker's
  Origin Classification

abstract:
  In this paper we present an automated method for the classification of the
origin of non-native speakers. The origin of non-native speakers could be
identified by a human listener based on the detection of typical pronunciations
for each nationality. Thus we suppose the existence of several phoneme
sequences that might allow the classification of the origin of non-native
speakers. Our new method is based on the extraction of discriminative sequences
of phonemes from a non-native English speech database. These sequences are used
to construct a probabilistic classifier for the speakers' origin. The existence
of discriminative phone sequences in non-native speech is a significant result
of this work. The system that we have developed achieved a significant correct
classification rate of 96.3% and a significant error reduction compared to some
other tested techniques.


title: Comment on "Turnaround in Cyclic Cosmology"

abstract:
  We comment on a recent paper by L. Baum and P. H. Frampton [Phys. Rev. Lett.
98, 071301 (2007)] where it was argued that the entropy problem can be resolved
in a peculiar cyclic universe model through a deflation mechanism (i.e., the
universe is fragmented into many disconnected causal patches at the
turnaround). We point out that in this cyclic model the Hubble length will
become infinity at the turnaround, thus the deflation scenario is not valid.


title: Differential Equations Driven by Gaussian Signals II

abstract:
  Large classes of multi-dimensional Gaussian processes can be enhanced with
stochastic Levy area(s). In a previous paper, we gave sufficient and
essentially necessary conditions, only involving variational properties of the
covariance. Following T. Lyons, the resulting lift to a "Gaussian rough path"
gives a robust theory of (stochastic) differential equations driven by Gaussian
signals with sample path regularity worse than Brownian motion.
  The purpose of this sequel paper is to establish convergence of
Karhunen-Loeve approximations in rough path metrics. Particular care is
necessary since martingale arguments are not enough to deal with third iterated
integrals. An abstract support criterion for approximately continuous Wiener
functionals then gives a description of the support of Gaussian rough paths as
the closure of the (canonically lifted) Cameron-Martin space.


title:
Robustness of Binary Black Hole Mergers in the Presence of Spurious
  Radiation

abstract:
  We present an investigation into how sensitive the last orbits and merger of
binary black hole systems are to the presence of spurious radiation in the
initial data. Our numerical experiments consist of a binary black hole system
starting the last couple of orbits before merger with additional spurious
radiation centered at the origin and fixed initial angular momentum. As the
energy in the added spurious radiation increases, the binary is invariably
hardened for the cases we tested, i.e. the merger of the two black holes is
hastened. The change in merger time becomes significant when the additional
energy provided by the spurious radiation increases the Arnowitt-Deser-Misner
(ADM) mass of the spacetime by about 1%. While the final masses of the black
holes increase due to partial absorption of the radiation, the final spins
remain constant to within our numerical accuracy. We conjecture that the
spurious radiation is primarily increasing the eccentricity of the orbit and
secondarily increasing the mass of the black holes while propagating out to
infinity.


title: A_4 model for the quark mass matrices

abstract:
  We propose a model for the quark masses and mixings based on an A_4 family
symmetry. Three scalar SU(2) doublets form a triplet of A_4. The three
left-handed-quark SU(2) doublets are also united in a triplet of A_4. The
right-handed quarks are singlets of A_4. The A_4-symmetric scalar potential
leads to a vacuum in which two of the three scalar SU(2) doublets have
expectation values with equal moduli. Our model makes an excellent fit of the
observed |V_ub/V_cb|. The symmetry CP is respected in the charged gauge
interactions of the quarks.


title:
Josephson current through a single Anderson impurity coupled to BCS
  leads

abstract:
  We investigate the Josephson current J(\phi) through a quantum dot embedded
between two superconductors showing a phase difference \phi. The system is
modeled as a single Anderson impurity coupled to BCS leads, and the functional
and the numerical renormalization group frameworks are employed to treat the
local Coulomb interaction U. We reestablish the picture of a quantum phase
transition occurring if the ratio between the Kondo temperature T_K and the
superconducting energy gap \Delta or, at appropriate T_K/\Delta, the phase
difference \phi or the impurity energy is varied. We present accurate zero- as
well as finite-temperature T data for the current itself, thereby settling a
dispute raised about its magnitude. For small to intermediate U and at T=0 the
truncated functional renormalization group is demonstrated to produce reliable
results without the need to implement demanding numerics. It thus provides a
tool to extract characteristics from experimental current-voltage measurements.


title: On D. Haegele's approach to the Bessis-Moussa-Villani conjecture

abstract:
  The reformulation of the Bessis-Moussa-Villani conjecture given by Lieb and
Seiringer asserts that the coefficient of t^r in the polynomial
Trace[(A+tB)^p], with A and B positive semidefinite matrices, is nonnegative
for all p and r. We propose a natural extension of a method of attack on this
problem due to Haegele, and investigate for what values of p and r the method
is successful, obtaining a complete determination when either p or r is odd.