title: $B \to f_0(980) (\pi,\etapp)$ Decays in the PQCD Approach

abstract:
  Based on the assumption of two-quark structure of the scalar meson
$f_0(980)$, we calculate the branching ratios and CP-violating asymmetries for
the four $B \to f_0(980)\pi$ and $B \to f_0(980)\etapp$ decays by employing the
perturbative QCD (pQCD) factorization approach. The leading order pQCD
predictions for branching ratios are, $Br(B^-\to f_0(980) \pi^-)\sim 2.5 \times
10^{-6}$, $Br(\bar{B}^0\to f_0(980) \pi^0)\sim 2 6 \times 10^{-7}$,
$Br(\bar{B}^0\to f_0(980) \eta)\sim 2.5 \times 10^{-7}$ and $Br(\bar{B}^0\to
f_0(980) \eta^\prime)\sim 6.7 \times 10^{-7}$, which are consistent with both
the QCD factorization predictions and the experimental upper limits.


title: The Hilbert Series of Adjoint SQCD

abstract:
  We use the plethystic exponential and the Molien-Weyl formula to compute the
Hilbert series (generating funtions), which count gauge invariant operators in
N=1 supersymmetric SU(N_c), Sp(N_c), SO(N_c) and G_2 gauge theories with 1
adjoint chiral superfield, fundamental chiral superfields, and zero classical
superpotential. The structure of the chiral ring through the generators and
relations between them is examined using the plethystic logarithm and the
character expansion technique. The palindromic numerator in the Hilbert series
implies that the classical moduli space of adjoint SQCD is an affine Calabi-Yau
cone over a weighted projective variety.


title: A Nonlocal Formulation of Rotational Water Waves

abstract:
  The classical equations of irrotational water waves have recently been
reformulated as a system of two equations, one of which is an explicit
non-local equation for the wave height and for the velocity potential evaluated
on the free surface. Here, in the two dimensional case, (a) we generalise the
relevant formulation to the case of constant vorticity, as well as to the case
where the free surface is described by a multi-valued function; (b) in the case
of travelling waves we derive an upper bound for the free surface; (c) in the
case of constant vorticity we construct a sequence of nearly Hamiltonian
systems which provide an approximation in the asymptotic limit of certain
physical small parameters. In particular, the explicit dependence of the
vorticity on the coefficients of the KdV equation is clarified. Also, in the
irrotational case we extend the formalism to n>2 dimensions and analyse
rigorously the linear limit of these equations.


title:
Landau free energy of ferroelectric crystals by thermodynamic
  integration

abstract:
  Using Molecular Dynamics simulations based on the effective hamiltonian
developed by Zhong, Vanderbilt and Rabe [Phys. Rev. Lett. {\bf 73}, 1861
(1994)] (and fitted on first-principles calculations only), the technique of
the thermodynamic integration is applied to barium titanate. It allows to
compute the difference of free energy between macroscopic states with different
polarizations, from the thermal averages of the forces acting on the local
modes. This is achieved by performing molecular dynamics under the constraint
of fixed polarization. The Landau free energy is thus interpreted as a
potential of mean force. The thermodynamic integration directly gives access
(numerically) to the Landau free energy of barium titanate as a function of
$\vec P$, without any assumption on its analytical form. This technique, mainly
used in computational chemistry, allows to make a direct connection between
phenomenological theories and atomic-scale simulations. It is applied and
validated to the case of BaTiO$_3$ under fixed volume. The results are compared
to available phenomenological potentials of the litterature.


title:
Routine monitoring and analysis of ocean swell fields using a spaceborne
  SAR

abstract:
  Satellite Synthetic Aperture Radar (SAR) observations can provide a global
view of ocean swell fields when using a specific "wave mode" sampling. A
methodology is presented to routinely derive integral properties of the longer
wavelength (swell) portion of the wave spectrum from SAR Level 2 products, and
both monitor and predict their evolution across ocean basins. SAR-derived
estimates of swell height, and energy-weighted peak period and direction, are
validated against buoy observations, and the peak directions are used to
project the peak periods in one dimension along the corresponding great circle
route, both forward and back in time, using the peak period group velocity. The
resulting real time dataset of great circle-projected peak periods produces
two-dimensional maps that can be used to monitor and predict the spatial
extent, and temporal evolution, of individual ocean swell fields as they
propagate from their source region to distant coastlines. The methodology is
found to be consistent with the dispersive arrival of peak swell periods at a
mid-ocean buoy. The simple great circle propagation method cannot project the
swell heights in space like the peak periods, because energy evolution along a
great circle is a function of the source storm characteristics and the unknown
swell dissipation rate. A more general geometric optics model is thus proposed
for the far field of the storms. This model is applied here to determine the
attenuation over long distances. For one of the largest recorded storms,
observations of 15 s period swells are consistent with a constant dissipation
rate that corresponds to a 3300 km e-folding scale for the energy. In this
case, swell dissipation is a significant term in the wave energy balance at
global scales.


title: A New Scenario of Confinement and Hadron Spectra

abstract:
  This work presents a new phenomenological description of QCD vacuum where the
color background field is depicted by a constant parallel vector with amplitude
proportional to $\sigma\sim 0.28 GeV^2$. The familiar Regge relation can be
derived directly in a classic meaning. A new mass formula of hadrons are
conjectured to give a very consistent description of hadron mass spectra. The
lower bounds of the baryon mass are determined to be $\sqrt{3\sigma}$ for
nucleon and $\sqrt{5\sigma}$ for isospin-3/2 baryon. In the meanwhile, the
mass-square differences of $1 {}^3 S_1$ and $1 {}^1 S_0$ meson states are
obtained to be $2 \sigma$. We also predict the mass of the lowest four-quark
state to be $\sqrt{4\sigma}$, which favors the $a_0(980)$ and $f_0(980)$ to be
four-quark candidates. On the other hand, the effective heavy quark confinement
potential is a direct result of this model.


title:
The largest eigenvalues of sample covariance matrices for a spiked
  population: diagonal case

abstract:
  We consider large complex random sample covariance matrices obtained from
"spiked populations", that is when the true covariance matrix is diagonal with
all but finitely many eigenvalues equal to one. We investigate the limiting
behavior of the largest eigenvalues when the population and the sample sizes
both become large. Under some conditions on moments of the sample distribution,
we prove that the asymptotic fluctuations of the largest eigenvalues are the
same as for a complex Gaussian sample with the same true covariance. The real
setting is also considered.


title: On spectral polynomials of the Heun equation

abstract:
  The classical Heun equation has the form {Q(z) d^2/dz^2 +P(z) d/dz
+V(z)}S(z)=0 where Q(z) is a cubic, P(z) at most quadratic and V(z) linear
polynomials resp. In the second half of the 19-th century E.Heine and
T.STieltjes initiated the study of the set of all V(z) such that the above
equation has a polynomial solution S(z) of a given degree n. The main goal of
the present paper is to study the union of the roots of the latter set of
V(z)*s when n->oo. We formulate an intriguing conjecture of K.Takemura
describing the limiting set and give a substantial amount of additional
information.


title: Homeomorphic Solutions to Reduced Beltrami Equations

abstract:
  We study differential expressions related to linear families of
quasiconformal mappings and give a simple and direct proof to a result due to
Alessandrini and Nesi arXiv:0707.0727.


title:
Competition/Coexisitence of Magnetism and Superconductivity in Iron
  Pnictides Probed by Muon Spin Rotation

abstract:
  The presence of macroscopic phase separation into superconducting and
magnetic phases in LaFeAsO$_{1-x}$F$_x$ (LFAOF) and CaFe$_{1-x}$Co$_x$AsF
(CFCAF) is demonstrated by muon spin rotation (muSR) measurement across their
phase boundaries ($x=0.06$ for LFAOF and $x=0.075$--0.15 for CFCAF). In LFAOF,
both magnetism and superconductivity develop simultaneously below a common
critical temperature, $T_m =~ T_c =~ 18$ K, where the magnetism is
characterized by strong randomness. A similar, but more distinct segregation of
these two phases is observed in CFCAF, where the magnetic phase retains $T_m$
as close to that of the parent compound ($T_c << T_m =~ 80$--120 K) and the
superconducting volume fraction is proportional to the Co content $x$. The
close relationship between magnetism and superconductivity is discussed based
on these experimental observations. Concerning superconducting phase, an
assessment is made on the anisotropy of order parameter in the superconducting
state of LFAOF, CFCAF, and Ba$_{1-x}$K$_x$Fe$_2$As$_2$ (BKFA, $x=0.4$) based on
the temperature dependence of superfluid density [$n_s(T)$] measured by muSR.
The gap parameter, $2\Delta/k_BT_c$, determined from $n_s(T)$ exhibits a
tendency that hole-doped pnictides (BKFA) is much greater than those in
electron-doped ones (LFAOF, CFCAF), suggesting difference in the coupling to
bosons mediating the Cooper pairs between relevant $d$ electron bands.


title: The MIMO Iterative Waterfilling Algorithm

abstract:
  This paper considers the non-cooperative maximization of mutual information
in the vector Gaussian interference channel in a fully distributed fashion via
game theory. This problem has been widely studied in a number of works during
the past decade for frequency-selective channels, and recently for the more
general MIMO case, for which the state-of-the art results are valid only for
nonsingular square channel matrices. Surprisingly, these results do not hold
true when the channel matrices are rectangular and/or rank deficient matrices.
The goal of this paper is to provide a complete characterization of the MIMO
game for arbitrary channel matrices, in terms of conditions guaranteeing both
the uniqueness of the Nash equilibrium and the convergence of asynchronous
distributed iterative waterfilling algorithms. Our analysis hinges on new
technical intermediate results, such as a new expression for the MIMO
waterfilling projection valid (also) for singular matrices, a mean-value
theorem for complex matrix-valued functions, and a general contraction theorem
for the multiuser MIMO watefilling mapping valid for arbitrary channel
matrices. The quite surprising result is that uniqueness/convergence conditions
in the case of tall (possibly singular) channel matrices are more restrictive
than those required in the case of (full rank) fat channel matrices. We also
propose a modified game and algorithm with milder conditions for the uniqueness
of the equilibrium and convergence, and virtually the same performance (in
terms of Nash equilibria) of the original game.


title: Modelling the final state from binary black-hole coalescences

abstract:
  Over the last few years enormous progress has been made in the numerical
description of the inspiral and merger of binary black holes. A particular
effort has gone into the modelling of the physical properties of the final
black hole, namely its spin and recoil velocity, as these quantities have
direct impact in astrophysics, cosmology and, of course, general relativity. As
numerical-relativity calculations still remain computationally very expensive
and cannot be used to investigate the complete space of possible parameters,
semi-analytic approaches have been developed and shown to reproduce with very
high precision the numerical results. I here collect and review these efforts,
pointing out the relative strengths and weaknesses, and discuss which
directions are more promising to further improve them.


title:
Narrowband tunable filter based on velocity-selective optical pumping in
  an atomic vapor

abstract:
  We demonstrate a tunable, narrow-band filter based on optical-pumping-induced
circular dichroism in rubidium vapor. The filter achieves a peak transmission
of 14.6%, a linewidth of 80 MHz, and an out-of-band extinction >35 dB. The
transmission peak can be tuned within the range of the Doppler linewidth of the
D1 line of atomic rubidium at 795 nm. While other atomic filters work at
frequencies far from absorption, the presented technique provides light
resonant with atomic media, useful for atom-photon interaction experiments. The
technique could readily be extended to other alkali atoms.


title: Network growth for enhanced natural selection

abstract:
  Natural selection and random drift are competing phenomena for explaining the
evolution of populations. Combining a highly fit mutant with a population
structure that improves the odds that the mutant spreads through the whole
population tips the balance in favor of natural selection. The probability that
the spread occurs, known as the fixation probability, depends heavily on how
the population is structured. Certain topologies, albeit highly artificially
contrived, have been shown to exist that favor fixation. We introduce a
randomized mechanism for network growth that is loosely inspired in some of
these topologies' key properties and demonstrate, through simulations, that it
is capable of giving rise to structured populations for which the fixation
probability significantly surpasses that of an unstructured population. This
discovery provides important support to the notion that natural selection can
be enhanced over random drift in naturally occurring population structures.


title:
Post-processing the VLTI fringe-tracking data: First measurements of
  stars

abstract:
  At the Very Large Telescope Interferometer, the purpose of the fringe-tracker
FINITO is to stabilize the optical path differences between the beams, allowing
longer integration times on the scientific instruments AMBER and MIDI. Our goal
is to demonstrate the potential of FINITO for providing H-band interferometric
visibilities, simultaneously and in addition to its normal fringe-tracking
role. We use data obtained during the commissioning of the Reflective Memory
Network Recorder at the Paranal observatory. This device has permitted the
first recording of all relevant real-time data needed for a proper
data-reduction. We show that post-processing the FINITO data allows valuable
scientific visibilities to be measured. Over the several hours of our
engineering experiment, the intrinsic transfer function is stable at the level
of 2%. Such stability would lead to robust measurements of science stars even
without the observation of a calibration star within a short period of time. We
briefly discuss the current limitations and the potential improvements.


title:
Nonlinear Operator Superalgebras and BFV-BRST Operators for Lagrangian
  Description of Mixed-symmetry HS Fields in AdS Spaces

abstract:
  We study the properties of nonlinear superalgebras $\mathcal{A}$ and algebras
$\mathcal{A}_b$ arising from a one-to-one correspondence between the sets of
relations that extract AdS-group irreducible representations $D(E_0,s_1,s_2)$
in AdS$_d$-spaces and the sets of operators that form $\mathcal{A}$ and
$\mathcal{A}_b$, respectively, for fermionic, $s_i=n_i+{1/2}$, and bosonic,
$s_i=n_i$, $n_i \in \mathbb{N}_0$, $i=1,2$, HS fields characterized by a Young
tableaux with two rows. We consider a method of constructing the Verma modules
$V_\mathcal{A}$, $V_{\mathcal{A}_b}$ for $\mathcal{A}$, $\mathcal{A}_b$ and
establish a possibility of their Fock-space realizations in terms of formal
power series in oscillator operators which serve to realize an additive
conversion of the above (super)algebra ($\mathcal{A}$) $\mathcal{A}_b$,
containing a set of 2nd-class constraints, into a converted (super)algebra
$\mathcal{A}_{b{}c}$ = $\mathcal{A}_{b}$ + $\mathcal{A}'_b$ ($\mathcal{A}_c$ =
$\mathcal{A}$ + $\mathcal{A}'$), containing a set of 1st-class constraints
only. For the algebra $\mathcal{A}_{b{}c}$, we construct an exact nilpotent
BFV--BRST operator $Q'$ having nonvanishing terms of 3rd degree in the powers
of ghost coordinates and use $Q'$ to construct a gauge-invariant Lagrangian
formulation (LF) for HS fields with a given mass $m$ (energy $E_0(m)$) and
generalized spin $\mathbf{s}$=$(s_1,s_2)$. LFs with off-shell algebraic
constraints are examined as well.


title:
Response to arXiv:0811.3876 "Comment on a recent conjectured solution of
  the three dimensional Ising model" by Wu et al

abstract:
  This is a Response to a recent Comment [F.Y. Wu et al., Phil. Mag. 88, 3093
(2008), arXiv:0811.3876] on the conjectured solution of the three-dimensional
(3D) Ising model [Z.D. Zhang, Phil. Mag. 87, 5309 (2007), arXiv:0705.1045].
Several points are made: 1) Conjecture 1, regarding the additional rotation, is
understood as performing a transformation for smoothing all the crossings of
the knots; 2) The weight factors in Conjecture 2 are interpreted as a novel
topologic phase; 3) The conjectured solution and its low- and high-temperature
expansions are supported by the mathematical theorems for the analytical
behavior of the Ising model. The physics behind the extra dimension is also
discussed briefly.


title:
Estimation of the control parameter from symbolic sequences: Unimodal
  maps with variable critical point

abstract:
  The work described in this paper can be interpreted as an application of the
order patterns of symbolic dynamics when dealing with unimodal maps.
Specifically, it is shown how Gray codes can be used to estimate the
probability distribution functions (PDFs) of the order patterns of parametric
unimodal maps. Furthermore, these PDFs depend on the value of the parameter,
what eventually provides a handle to estimate the parameter value from symbolic
sequences (in form of Gray codes), even when the critical point depends on the
parameter.


title:
The Influence of Free Quintessence on Gravitational Frequency Shift and
  Deflection of Light with 4D momentum

abstract:
  Based on the 4D momentum, the influence of quintessence on the gravitational
frequency shift and the deflection of light are examined in modified
Schwarzschild space. We find that the frequency of photon depends on the state
parameter of quintessence $w_q$: the frequency increases for $-1<w_q<-1/3$ and
decreases for $-1/3<w_q<0$. Meanwhile, we adopt an integral power number $a$
($a = 3\omega_q + 2$) to solve the orbital equation of photon. The photon's
potentials become higher with the decrease of $\omega_q$. The behavior of
bending light depends on the state parameter $\omega_q$ sensitively. In
particular, for the case of $\omega_q = -1$, there is no influence on the
deflection of light by quintessence. Else, according to the H-masers of GP-A
redshift experiment and the long-baseline interferometry, the constraints on
the quintessence field in Solar system are presented here.


title:
Topological Quantum Computation with the universal R matrix for Ising
  anyons

abstract:
  We show that the braid-group extension of the monodromy-based topological
quantum computation scheme of Das Sarma et al. can be understood in terms of
the universal R matrix for the Ising model giving similar results to those
obtained by direct analytic continuation of multi-anyon Pfaffian wave
functions. It is necessary, however, to take into account the projection on
spinor states with definite total parity which is responsible for the
topological entanglement in the Pfaffian topological quantum computer.


title:
Ultimate braid-group generators for coordinate exchanges of Ising anyons
  from the multi-anyon Pfaffian wave functions

abstract:
  We give a rigorous and self-consistent derivation of the elementary braid
matrices representing the exchanges of adjacent Ising anyons in the two
inequivalent representations of the Pfaffian quantum Hall states with even and
odd number of Majorana fermions. To this end we use the distinct operator
product expansions of the chiral spin fields in the Neveu-Schwarz and Ramond
sectors of the two-dimensional Ising conformal field theory. We find recursive
relations for the generators of the irreducible representations of the braid
group B_{2n+2} in terms of those for B_{2n}, as well as explicit formulas for
almost all braid matrices for exchanges of Ising anyons. Finally we prove that
the braid-group representations obtained from the multi-anyon Pfaffian wave
functions are completely equivalent to the spinor representations of SO(2n+2)
and give the equivalence matrices explicitly. This actually proves that the
correlation functions of 2n chiral Ising spin fields sigma do indeed realize
one of the two inequivalent spinor representations of the rotation group SO(2n)
as conjectured by Nayak and Wilczek.


title: On almost Blow-analytic equivalence

abstract:
  Approximation of real analytic functions by Nash functions is a classical
topic in real geometry. In this paper, we focus on the Nash approximation of an
analytic desingularization of a Nash function germ obtained by a sequence of
blowings-up along smooth analytic centers. We apply the result to prove that
Nash function germs that are analytically equivalent after analytic
desingularizations are Nash equivalent after Nash desingularizations. Results
are based on a precise Euclidean description of a sequence of blowings-up
combined with N\'eron Desingularization.


title:
Improved generating technique for D=5 supergravities and squashed
  Kaluza-Klein Black Holes

abstract:
  Recently we suggested a solution generating technique for five-dimensional
supergravity with three Abelian vector fields based on the hidden SO(4,4)
symmetry of the three-dimensionally reduced theory. This technique generalizes
the $G_{2(2)}$ generating technique developed earlier for minimal 5D
supergravity (A. Bouchareb, G. Cl\'ement, C-M. Chen, D. V. Gal'tsov, N. G.
Scherbluk, and Th. Wolf, Phys. Rev. D {\bf 76}, 104032 (2007)) and provides a
new matrix representation for cosets forming the corresponding sigma-models in
both cases. Here we further improve these methods introducing a matrix-valued
dualisation procedure which helps to avoid difficulties associated with solving
the dualisation equations in the component form. This new approach is used to
generate a five-parametric rotating charged Kaluza-Klein black hole with the
squashed horizon adding one parameter more to the recent solution by Tomizawa,
Yasui and Morisawa which was constructed using the previous version of the
$G_{2(2)}$ generating technique.


title:
Computational equivalence of the two inequivalent spinor representations
  of the braid group in the Ising topological quantum computer

abstract:
  We demonstrate that the two inequivalent spinor representations of the braid
group \B_{2n+2}, describing the exchanges of 2n+2 non-Abelian Ising anyons in
the Pfaffian topological quantum computer, are equivalent from computational
point of view, i.e., the sets of topologically protected quantum gates that
could be implemented in both cases by braiding exactly coincide. We give the
explicit matrices generating almost all braidings in the spinor representations
of the 2n+2 Ising anyons, as well as important recurrence relations. Our
detailed analysis allows us to understand better the physical difference
between the two inequivalent representations and to propose a process that
could determine the type of representation for any concrete physical
realization of the Pfaffian quantum computer.


title:
Implementation of Clifford gates in the Ising-anyon topological quantum
  computer

abstract:
  We give a general proof for the existence and realizability of Clifford gates
in the Ising topological quantum computer. We show that all quantum gates that
can be implemented by braiding of Ising anyons are Clifford gates. We find that
the braiding gates for two qubits exhaust the entire two-qubit Clifford group.
Analyzing the structure of the Clifford group for n \geq 3 qubits we prove that
the the image of the braid group is a non-trivial subgroup of the Clifford
group so that not all Clifford gates could be implemented by braiding in the
Ising topological quantum computation scheme. We also point out which Clifford
gates cannot in general be realized by braiding.

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


title:
Coulomb implosion mechanism of negative ion acceleration in laser
  plasmas

abstract:
  Coulomb implosion mechanism of the negatively charged ion acceleration in
laser plasmas is proposed. When a cluster target is irradiated by an intense
laser pulse and the Coulomb explosion of positively charged ions occurs, the
negative ions are accelerated inward. The maximum energy of negative ions is
several times lower than that of positive ions. The theoretical description and
Particle-in-Cell simulation of the Coulomb implosion mechanism and the evidence
of the negative ion acceleration in the experiments on the high intensity laser
pulse interaction with the cluster targets are presented.


title: An introduction to wonderful varieties with many examples of type F4

abstract:
  We give an introduction to the theory of wonderful G-varieties, with many
examples when G is simple of type F4. We present results and open problems
about these varieties: on their classification, on their isotropy groups, on
morphisms between them, and on their relations with the representation theory
of G.


title: Progress in Parton Distribution Functions

abstract:
  Parton distribution functions (pdfs) are an important ingredient for LHC
phenomenology. Recent progress in determining pdfs from global analyses is
reviewed, and some of the most important outstanding issues are highlighted.
Particular attention is paid to the precision with which predictions for LHC
`standard-candle' cross sections can be made, and also to new information that
LHC can provide on pdfs.


title:
Combinatorial Formulas for Classical Lie Weight Systems on Arrow
  Diagrams

abstract:
  In 2002 Haviv gave a way of assigning Lie tensors to directed trivalent
graphs. Weight systems on oriented chord idagrams modulo 6T can then be
constructed from such tensors. In this paper we give explicit combinatorial
formulas of weight systems using Manin triples constrcted from classical Lie
algebras. We then compose these oriented weight systems with the averaging map
to get weight systems on unoriented chord diagrams and show that they are the
same as the ones obtained by Bar-Natan in 1991. In the last section we carry
out calculations on certain examples.


title: Magnetoelectric Effect for Novel Microwave Device Applications

abstract:
  In a normally magnetized thin-film ferrite disk with magnetic-dipolar modes,
one can observe magnetoelectric oscillations. Such magnetoelectric properties
of an electrically small sample can be considered as very attractive phenomena
in microwaves. In this paper we discuss the question on novel microwave device
applications based on ferrite magnetoelectric particles.


title: Turbulent spectra in real-time gauge field evolution

abstract:
  We investigate ultraviolet fixed points in the real-time evolution of
non-Abelian gauge fields. Classical-statistical lattice simulations reveal
equal-time correlation functions with a spectral index 3/2. Analytical
understanding of this result is achieved by employing a 2PI- loop expansion for
the quantum theory.


title: Genetic drift at expanding frontiers promotes gene segregation

abstract:
  Competition between random genetic drift and natural selection plays a
central role in evolution: Whereas non-beneficial mutations often prevail in
small populations by chance, mutations that sweep through large populations
typically confer a selective advantage. Here, however, we observe chance
effects during range expansions that dramatically alter the gene pool even in
large microbial populations. Initially well-mixed populations of two
fluorescently labeled strains of Escherichia coli develop well-defined,
sector-like regions with fractal boundaries in expanding colonies. The
formation of these regions is driven by random fluctuations that originate in a
thin band of pioneers at the expanding frontier. A comparison of bacterial and
yeast colonies (Saccharomyces cerevisiae) suggests that this large-scale
genetic sectoring is a generic phenomenon that may provide a detectable
footprint of past range expansions.


title: Optical SBFs of shell galaxies

abstract:
  We measure F814W Surface Brightness Fluctuations (SBFs) for a sample of
distant shell galaxies observed with the Advanced Camera for Survey (ACS) on
board of HST. To evaluate the distance at galaxies, theoretical SBF magnitudes
for the ACS@HST filters are computed for single burst stellar populations
covering a wide range of ages (t=1.5-14 Gyr) and metallicities (Z=0.008-0.04).
Using these stellar population models we provide the first M_SBF,F814W versus
(F475W-F814W)0 calibration. The results suggest that optical SBFs can be
measured at d>100 Mpc using high resolution spatial optical data.


title: Magnetization of two coupled rings

abstract:
  We investigate the persistent currents and magnetization of a mesoscopic
system consisting of two clean metallic rings sharing a single contact point in
a magnetic field. Many novel features with respect to the single-ring geometry
are underlined, including the explicit dependence of wavefunctions on the
Aharonov-Bohm fluxes, the complex pattern of twofold and threefold
degeneracies, the key role of length and flux commensurability, and in the case
of commensurate ring lengths the occurrence of idle levels which do not carry
any current. Spin-orbit interactions, induced by the electric fields of charged
wires threading the rings, give rise to a peculiar version of the
Aharonov-Casher effect where, unlike for a single ring, spin is not conserved.
Remarkably enough, this can only be realized when the Aharonov-Bohm fluxes in
both rings are neither integer nor half-integer multiples of the flux quantum.


title:
Some examples of `second order elliptic integrable systems associated to
  a 4-symmetric space'

abstract:
  In this text we expound recent results by Idrisse Khemar on the construction
of various geometric completely integrable systems generalizing the structure
of Hamiltonian stationary Lagrangian surfaces (HSLS) discovered by F. H\'elein
and P. Romon. We first explain that, for surfaces in a 4-dimensional Euclidean
space, the HSLS are a particular case of a more general theory of surfaces with
harmonic left Gauss map and that this theory includes also the classical
constant mean curvature surfaces in 3-space. Then we expound a generalization
of this theory for surfaces in an 8-dimensional Euclidean space, using
octonions. Lastly we discuss supersymmetric harmonic and primitive maps, a
theory which also covers the HSLS cas.


title: Axisymmetric Rotating Fluid Equations

abstract:
  We investigate the equations of anisotropic axisymmetric incompressible
viscous fluids in the exterior of a cylinder of $\R^3$, rotating around an
inhomogeneous vector
  $B(t, r)$. We prove uniform local existence with respect to the Rossby number
in suitable anisotropic Sobolev spaces. We also obtain the propagation of the
isotropic Sobolev regularity.


title: On Invertibility of Sobolev Mappings

abstract:
  We prove local and global invertibility of Sobolev solutions of certain
differential inclusions which prevent the differential matrix from having
negative eigenvalues. Our results are new even for quasiregular mappings in two
dimensions.


title:
Superconductivity in an almost localized Fermi liquid of quasiparticles
  with spin-dependent masses and effective field induced by electron
  correlations

abstract:
  Paired state of nonstandard quasiparticles is analyzed in detail in two model
situations. Namely, we consider the Cooper-pair bound state and the condensed
phase of an almost localized Fermi liquid (ALFL) composed of quasiparticles in
a narrow-band with the spin-dependent masses (SDM) and an effective field, both
introduced earlier and induced by strong electronic correlations. Each of these
novel characteristics are calculated in a self-consistent manner. We analyze
the bound states as a function of Cooper-pair momentum q in applied magnetic
field in the strongly Pauli limiting case (i.e. when the orbital effects of
applied magnetic field are disregarded). The spin-direction dependence of the
effective mass makes the quasiparticles comprising Cooper pair spin
distinguishable in the quantum mechanical sense, whereas the condensed gas of
pairs may still be regarded as composed of identical entities. The
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) condensed phase of moving pairs is by
far more robust in the applied field for the case with spin-dependent masses
than in the situation with equal masses of quasiparticles. Relative stability
of the Bardeen-Cooper-Schrieffer (BCS) vs. FFLO phase is analyzed in detail on
temperature - applied field plane. Although our calculations are carried out
for a model situation, we can conclude that the spin-dependent masses should
play an important role in stabilizing high-field low-temperature (HFLT)
unconventional superconducting phases (FFLO being an instance) in systems such
as CeCoIn_5, organic metals, and possibly others.


title: Numerical evidence for loop convergence in Yang-Mills thermodynamics

abstract:
  The numerical results for the computed moduli of the irreducible three-loop
contributions to the thermodynamical pressure of an SU(2) Yang-Mills theory in
the effective theory for the deconfinning phase are explained in detail.
Irreducible three-loop integrations are compared with two-loop integrations and
the different nature of their integrations is scrutinized and illustrated
numerically. The numerical results show a rapid convergence in the loop
expansion of Yang-Mills thermodynamics. The statistical method used for
irreducible three-loop integrations is explained and checked for two-loop
integrations. The statistical results for two-loop integrations are compatible
with the former computed analytical results showing the reliability of the
statistical method.This is a companion paper to [1].


title: Extension Phenomena for Holomorphic Geometric Structures

abstract:
  The most commonly encountered types of complex analytic G-structures and
Cartan geometries cannot have singularities of complex codimension 2 or more.


title: The promise of Gaia and how it will influence stellar ages

abstract:
  The Gaia space project, planned for launch in 2011, is one of the ESA
cornerstone missions, and will provide astrometric, photometric and
spectroscopic data of very high quality for about one billion stars brighter
than V=20. This will allow to reach an unprecedented level of information and
knowledge on several of the most fundamental astrophysical issues, such as
mapping of the Milky Way, stellar physics (classification and
parameterization), Galactic kinematics and dynamics, study of the resolved
stellar populations in the Local Group, distance scale and age of the Universe,
dark matter distribution (potential tracers), reference frame (quasars,
astrometry), planet detection, fundamental physics, Solar physics, Solar system
science. I will present a description of the instrument and its main
characteristics, and discuss a few specific science cases where Gaia data
promise to contribute fundamental improvement within the scope of this
Symposium.


title:
The Virtual Private Network Design Problem with Concave Costs
  (Oberwolfach abstract)

abstract:
  The symmetric Virtual Private Network Design (VPND) problem is concerned with
buying capacity on links (edges) in a communication network such that certain
traffic demands can be met. We investigate a natural generalization of VPND
where the cost per unit of capacity may decrease if a larger amount of capacity
is reserved (economies of scale principle). The growth of the cost of capacity
is modelled by a non-decreasing concave function $f$. We call the problem the
concave symmetric Virtual Private Network Design (cVPND) problem. After showing
that a generalization of the so-called Pyramidal Routing problem and hence also
the cVPND have the so-called tree routing property, we study approximation
algorithms for cVPND. For general $f$, using known results on the so-called
Single Source Buy at Bulk problem by Grandoni and Italiano, we give a
randomized 24.92-approximation algorithm.


title:
Magnetic fields, winds and X-rays of massive stars in the Orion Nebula
  Cluster

abstract:
  In massive stars, magnetic fields are thought to confine the outflowing
radiatively-driven wind, resulting in X-ray emission that is harder, more
variable and more efficient than that produced by instability-generated shocks
in non-magnetic winds. Although magnetic confinement of stellar winds has been
shown to strongly modify the mass-loss and X-ray characteristics of massive OB
stars, we lack a detailed understanding of the complex processes responsible.
The aim of this study is to examine the relationship between magnetism, stellar
winds and X-ray emission of OB stars. In conjunction with a Chandra survey of
the Orion Nebula Cluster, we carried out spectropolarimatric ESPaDOnS
observations to determine the magnetic properties of massive OB stars of this
cluster.


title: Invariance of the BFV-complex

abstract:
  The BFV-formalism was introduced to handle classical systems, equipped with
symmetries. It associates a differential graded Poisson algebra to any
coisotropic submanifold $S$ of a Poisson manifold $(M,\Pi)$. However the
assignment (coisotropic submanifold) $\leadsto$ (differential graded Poisson
algebra) is not canonical, since in the construction several choices have to be
made. One has to fix: 1. an embedding of the normal bundle $NS$ of $S$ into
$M$, 2. a connection $\nabla$ on $NS$ and 3. a special element $\Omega$. We
show that different choices of the connection and $\Omega$ -- but with the
tubular neighbourhood fixed -- lead to isomorphic differential graded Poisson
algebras. If the tubular neighbourhood is changed too, invariance can be
restored at the level of germs.


title: Identifying nearby field T dwarfs in the UKIDSS Galactic Clusters Survey

abstract:
  We present the discovery of two new late-T dwarfs identified in the UKIRT
Infrared Deep Sky Survey (UKIDSS) Galactic Clusters Survey (GCS) Data Release 2
(DR2). These T dwarfs are nearby old T dwarfs along the line of sight to
star-forming regions and open clusters targeted by the UKIDSS GCS. They are
found towards the Alpha Per cluster and Orion complex, respectively, from a
search in 54 square degrees surveyed in five filters. Photometric candidates
were picked up in two-colour diagrams, in a very similar manner to candidates
extracted from the UKIDSS Large Area Survey (LAS) but taking advantage of the Z
filter employed by the GCS. Both candidates exhibit near-infrared J-band
spectra with strong methane and water absorption bands characteristic of late-T
dwarfs. We derive spectral types of T6.5+/-0.5 and T7+/-1 and estimate
photometric distances less than 50 pc for UGCS J030013.86+490142.5 and UGCS
J053022.52-052447.4, respectively. The space density of T dwarfs found in the
GCS seems consistent with discoveries in the larger areal coverage of the
UKIDSS Large Area Survey, indicating one T dwarf in 6-11 square degrees. The
final area surveyed by the GCS, 1000 square degrees in five passbands, will
allow expansion of the LAS search area by 25%, increase the probability of
finding ultracool brown dwarfs, and provide optimal estimates of contamination
by old field brown dwarfs in deep surveys to identify such objects in open
clusters and star-forming regions.


title:
Spin filtering due to quantum interference in periodic mesoscopic
  networks

abstract:
  We present several new results, extending our recent proposal of a spin
filter based on a tight-binding model for a periodic chain of diamond-like
loops [Phys. Rev. B {\bf 78}, 125328 (2008)]. In this filter, the Rashba
spin-orbit interaction (which can be tuned by a perpendicular gate voltage) and
the Aharonov-Bohm flux (due to a perpendicular magnetic field) combine to
select only one propagating ballistic mode. For this mode, the electronic spins
are fully polarized along a direction that can be controlled by the electric
and magnetic fields and by the electron energy. All the other modes are
evanescent. Generalizing the square diamonds into rhombi with arbitrary opening
angles, we find that increasing these angles widens the parameter range for
efficient filtering. A different gate voltage on the two sides of each rhombus
is found to delocalize the electrons for energies on one side of the band
center. We also compare our tight-binding model with models which use
continuous quantum networks of one-dimensional wires, and find coincidence only
when one chooses particular site energies at the nodes of the network.


title: The star formation process in the Magellanic Clouds

abstract:
  The Magellanic Clouds offer unique opportunities to study star formation both
on the global scales of an interacting system of gas-rich galaxies, as well as
on the scales of individual star-forming clouds. The interstellar media of the
Small and Large Magellanic Clouds and their connecting bridge, span a range in
(low) metallicities and gas density. This allows us to study star formation
near the critical density and gain an understanding of how tidal dwarfs might
form; the low metallicity of the SMC in particular is typical of galaxies
during the early phases of their assembly, and studies of star formation in the
SMC provide a stepping stone to understand star formation at high redshift
where these processes can not be directly observed. In this review, I introduce
the different environments encountered in the Magellanic System and compare
these with the Schmidt-Kennicutt law and the predicted efficiencies of various
chemo-physical processes. I then concentrate on three aspects that are of
particular importance: the chemistry of the embedded stages of star formation,
the Initial Mass Function, and feedback effects from massive stars and its
ability to trigger further star formation.


title: On the Correspondence of Open and Closed Strings

abstract:
  This thesis investigates correspondences between open and closed strings.
This is done on the level of coupled open-closed moduli spaces and from a
string field theoretic point of view. The construction of boundary string field
theory on Wess-Zumino-Witten models leads to a conjecture on closed string
backgrounds appearing as non-local operators in open string field theory.
Sample computations for tachyon condensation leading to curved branes support
this conjecture. Additional steps are taken to study supersymmetric string
theories on Calabi-Yau manifolds in the presence of bulk and boundary moduli.
For the topological B-model effective bulk-induced superpotentials for
D5-branes are computed to all orders in the open string couplings.


title: Recent progress in defining jets

abstract:
  From dedicated QCD studies to new physics background estimation, jets will be
everywhere at the LHC. In these proceedings, we discuss two important recent
series of improvements.
  In the first one, we introduce new algorithms and new implementations of
previously existing algorithms, in order to cure limitations of their
predecessors and to satisfy fundamental requirements.
  In the second part, we show that it is of prime importance to carefully
choose the jet definition (algorithm and parameters) to optimise kinematic
reconstructions at the LHC. Noticeably, we show that while at scales around 100
GeV, R~0.5 is an appropriate choice, clustering at the TeV scale requires R~1
for optimal efficiency. We finally show that our results are valid in the
presence of pileup, provided that a subtraction procedure is applied.


title: On the apsidal motion of BP Vulpeculae

abstract:
  BP Vulpeculae is a bright eclipsing binary system showing apsidal motion. It
was found in an earlier study that it shows retrograde apsidal motion which
contradicts theory. In this paper we present the first $BV$ light curve of the
system and its light curve solution as well as seven new times of the minima
from the years 1959-1963. This way we could expanded the baseline of the
investigation to five decades. Based on this longer baseline we concluded that
the apsidal motion is prograde agreeing with the theoretical expectations and
its period is about 365 years and the determined internal structure constant is
close to the theoretically expected one.


title:
Modulational instability of matter waves under strong nonlinearity
  management

abstract:
  We study modulational instability of matter-waves in Bose-Einstein
condensates (BEC) under strong temporal nonlinearity-management. Both BEC in an
optical lattice and homogeneous BEC are considered in the framework of the
Gross-Pitaevskii equation, averaged over rapid time modulations. For a BEC in
an optical lattice, it is shown that the loop formed on a dispersion curve
undergoes transformation due to the nonlinearity-management. A critical
strength for the nonlinearity-management strength is obtained that changes the
character of instability of an attractive condensate. MI is shown to occur
below(above) the threshold for the positive (negative) effective mass. The
enhancement of number of atoms in the nonlinearity-managed gap soliton is
revealed.


title:
Discovery of slow X-ray pulsations in the high-mass X-ray binary 4U
  2206+54

abstract:
  The source 4U 2206+54 is one of the most enigmatic high-mass X-ray binaries.
In spite of intensive searches, X-ray pulsations have not been detected in the
time range 0.001-1000 s. A cyclotron line at ~30 keV has been suggested by
various authors but never detected with significance. The stellar wind of the
optical companion is abnormally slow. The orbital period, initially reported to
be 9.6 days, disappeared and a new periodicity of 19.25 days emerged. Our new
long and uninterrupted RXTE observations allow us to search for long (~1 hr)
pulsations for the first time. We have discovered 5560-s pulsations in the
light curve of 4U 2206+54. Initially detected in RXTE data, these pulsations
are also present in INTEGRAL and EXOSAT observations. The average X-ray
luminosity in the energy range 2-10 keV is 1.5 x 10^{35} erg s^{-1} with a
ratio Fmax/Fmin ~ 5. This ratio implies an eccentricity of ~0.4, somewhat
higher than previously suggested. The source also shows a soft excess at low
energies. If the soft excess is modelled with a blackbody component, then the
size and temperature of the emitting region agrees with its interpretation in
terms of a hot spot on the neutron star surface. The source displays
variability on time scales of days, presumably due to changes in the mass
accretion rate as the neutron star moves around the optical companion in a
moderately eccentric orbit.


title: Some algebraic properties of hypergraphs

abstract:
  We consider Stanley--Reisner rings $k[x_1,...,x_n]/I(\mc{H})$ where
$I(\mc{H})$ is the edge ideal associated to some particular classes of
hypergraphs. For instance, we consider hypergraphs that are natural
generalizations of graphs that are lines and cycles, and for these we compute
the Betti numbers. We also generalize upon some known results about chordal
graphs and study a weak form of shellability.


title: Dynamical Systems and Topological Surgery

abstract:
  In this paper we try to establish a connection between a three-dimensional
Lotka--Volterra dynamical system and two-dimensional topological surgery. There
are many physical phenomena exhibiting two-dimensional topological surgery
through a `hole drilling' process. By our connection, such phenomena may be
modelled mathematically by the above dynamical system.


title: Completeness of classical spin models and universal quantum computation

abstract:
  We study mappings between distinct classical spin systems that leave the
partition function invariant. As recently shown in [Phys. Rev. Lett. 100,
110501 (2008)], the partition function of the 2D square lattice Ising model in
the presence of an inhomogeneous magnetic field, can specialize to the
partition function of any Ising system on an arbitrary graph. In this sense the
2D Ising model is said to be "complete". However, in order to obtain the above
result, the coupling strengths on the 2D lattice must assume complex values,
and thus do not allow for a physical interpretation. Here we show how a
complete model with real -and, hence, "physical"- couplings can be obtained if
the 3D Ising model is considered. We furthermore show how to map general
q-state systems with possibly many-body interactions to the 2D Ising model with
complex parameters, and give completeness results for these models with real
parameters. We also demonstrate that the computational overhead in these
constructions is in all relevant cases polynomial. These results are proved by
invoking a recently found cross-connection between statistical mechanics and
quantum information theory, where partition functions are expressed as quantum
mechanical amplitudes. Within this framework, there exists a natural
correspondence between many-body quantum states that allow universal quantum
computation via local measurements only, and complete classical spin systems.


title: Nonsmooth Hormander vector fields and their control balls

abstract: We prove a ball-box theorem for nonsmooth Hormander vector fields of step s.


title:
A simple and efficient numerical scheme to integrate non-local
  potentials

abstract:
  As nuclear wave functions have to obey the Pauli principle, potentials issued
from reaction theory or Hartree-Fock formalism using finite-range interactions
contain a non-local part. Written in coordinate space representation, the
Schrodinger equation becomes integro-differential, which is difficult to solve,
contrary to the case of local potentials, where it is an ordinary differential
equation. A simple and powerful method has been proposed several years ago,
with the trivially equivalent potential method, where non-local potential is
replaced by an equivalent local potential, which is state-dependent and has to
be determined iteratively. Its main disadvantage, however, is the appearance of
divergences in potentials if the wave functions have nodes, which is generally
the case. We will show that divergences can be removed by a slight modification
of the trivially equivalent potential method, leading to a very simple, stable
and precise numerical technique to deal with non-local potentials. Examples
will be provided with the calculation of the Hartree-Fock potential and
associated wave functions of 16O using the finite-range N3LO realistic
interaction.


title: Predictions for the cusp in eta->3pi0 decay

abstract:
  A realistic estimate of the cusp effect in the eta->3pi0 decay is required
for the forthcoming high precision experiments. The predictions for the size of
this effect are given within the framework of nonrelativistic effective field
theory.


title: Nonequilibrium mesoscopic superconductors in a fluctuational regime

abstract:
  We show that there exist a class of nonequilibrium systems for which a
non-equilibrium analog of the Ginzburg-Landau (GL) functional can be
constructed and propose the procedure for its derivation. As an example, we
consider a small superconductor island of the size less than the coherence
length in a stationary nonequlibrium state. We find the GL expansion of the
free energy functional of such a system and analyze the dependence of the
coefficients of the expansion upon the external drive and the non-equilibrium
distribution functions.


title:
Energy reconstruction of electromagnetic showers from $\pi^0$ decays
  with the ICARUS T600 Liquid Argon TPC

abstract:
  We discuss the ICARUS T600 detector capabilities in electromagnetic shower
reconstruction through the analysis of a sample of 212 events, coming from the
2001 Pavia surface test run, of hadronic interactions leading to the production
of $\pi^{0}$ mesons. Methods of shower energy and shower direction measurements
were developed and the invariant mass of the photon pairs was reconstructed.
The ($\gamma$,$\gamma$) invariant mass was found to be consistent with the
value of the $\pi^0$ mass. The resolution of the reconstructed $\pi^0$ mass was
found to be equal to 27.3%. An improved analysis, carried out in order to clean
the full event sample from the events measured in the crowded environment,
mostly due to the trigger conditions, gave a $\pi^0$ mass resolution of 16.1%,
significantly better than the one evaluated for the full event sample. The
trigger requirement of the coincidence of at least four photomultiplier signals
favored the selection of events with a strong pile up of cosmic ray tracks and
interactions. Hence a number of candidate $\pi^0$ events were heavily
contaminated by other tracks and had to be rejected. Monte Carlo simulations of
events with $\pi^0$ production in hadronic and neutrino interactions confirmed
the validity of the shower energy and shower direction reconstruction methods
applied to the real data.


title:
Cosmic Ray Positron and Electron Excess from Hidden-Fermion Dark Matter
  Decays

abstract:
  The anomalies observed in recent cosmic ray experiments seem to strongly
constrain the nature of the dark matter. In this letter, we investigate a
possibility of the fermionic dark matter with a minimal extension of the
standard model. We found that the dark matter decays caused by the dimension
six operators can naturally explain the anomalies.


title: Self-Starting Micromotors in a Bacterial Bath

abstract:
  Micromotors pushed by biological entities, like motile bacteria, constitute a
fascinating way to convert chemical energy into mechanical work at the
micrometer scale. Here we show, by using numerical simulations, that a properly
designed asymmetric object can be spontaneously set into the desired motion
when immersed in a chaotic bacterial bath. Our findings open the way to
conceive new hybrid microdevices exploiting the mechanical power production of
bacterial organisms. Moreover, the system provides an example of how, in
contrast with equilibrium thermal baths, the irreversible chaotic motion of
active particles can be rectified by asymmetric environments.


title: Minimal coexistence configurations for multispecies systems

abstract:
  We deal with strongly competing multispecies systems of
  Lotka-Volterra type with homogeneous Neumann boundary conditions in
dumbbell-like domains. Under suitable non-degeneracy assumptions, we show that,
as the competition rate grows indefinitely, the system reaches a state of
coexistence of all the species in spatial segregation. Furthermore, the limit
configuration is a local minimizer for the associated free energy.


title: Lines on Fermat surfaces

abstract:
  We prove that the Neron-Severi groups of several complex Fermat surfaces are
generated by lines. Specifically, we obtain these new results for all degrees
up to 100 that are relatively prime to 6. The proof uses reduction modulo a
supersingular prime. The techniques are developed in detail. They can be
applied to other surfaces and varieties as well.


title:
Minimum-error discrimination of quantum states: New bounds and
  comparison

abstract:
  The minimum-error probability of ambiguous discrimination for two quantum
states is the well-known {\it Helstrom limit} presented in 1976. Since then, it
has been thought of as an intractable problem to obtain the minimum-error
probability for ambiguously discriminating arbitrary $m$ quantum states. In
this paper, we obtain a new lower bound on the minimum-error probability for
ambiguous discrimination and compare this bound with six other bounds in the
literature. Moreover, we show that the bound between ambiguous and unambiguous
discrimination does not extend to ensembles of more than two states.
Specifically, the main technical contributions are described as follows: (1) We
derive a new lower bound on the minimum-error probability for ambiguous
discrimination among arbitrary $m$ mixed quantum states with given prior
probabilities, and we present a necessary and sufficient condition to show that
this lower bound is attainable. (2) We compare this new lower bound with six
other bounds in the literature in detail, and, in some cases, this bound is
optimal. (3) It is known that if $m=2$, the optimal inconclusive probability of
unambiguous discrimination $Q_{U}$ and the minimum-error probability of
ambiguous discrimination $Q_{E}$ between arbitrary given $m$ mixed quantum
states have the relationship $Q_{U}\geq 2Q_{E}$. In this paper, we show that,
however, if $m>2$, the relationship $Q_{U}\geq 2Q_{E}$ may not hold again in
general, and there may be no supremum of $Q_{U}/Q_{E}$ for more than two
states, which may also reflect an essential difference between discrimination
for two-states and multi-states. (4) A number of examples are constructed.


title:
On the Decoder Error Probability of Rank Metric Codes and
  Constant-Dimension Codes

abstract:
  Rank metric codes and constant-dimension codes (CDCs) have been considered
for error control in random network coding. Since decoder errors are more
detrimental to system performance than decoder failures, in this paper we
investigate the decoder error probability (DEP) of bounded distance decoders
(BDDs) for rank metric codes and CDCs. For rank metric codes, we consider a
channel motivated by network coding, where errors with the same row space are
equiprobable. Over such channels, we establish upper bounds on the DEPs of
BDDs, determine the exact DEP of BDDs for maximum rank distance (MRD) codes,
and show that MRD codes have the greatest DEPs up to a scalar. To evaluate the
DEPs of BDDs for CDCs, we first establish some fundamental geometric properties
of the projective space. Using these geometric properties, we then consider
BDDs in both subspace and injection metrics and derive analytical expressions
of their DEPs for CDCs, over a symmetric operator channel, as functions of
their distance distributions. Finally, we focus on CDCs obtained by lifting
rank metric codes and establish two important results: First, we derive
asymptotically tight upper bounds on the DEPs of BDDs in both metrics; Second,
we show that the DEPs for KK codes are the greatest up to a scalar among all
CDCs obtained by lifting rank metric codes.


title: Surrogates with random Fourier Phases

abstract:
  The method of surrogates is widely used in the field of nonlinear data
analysis for testing for weak nonlinearities. The two most commonly used
algorithms for generating surrogates are the amplitude adjusted Fourier
transform (AAFT) and the iterated amplitude adjusted Fourier transfom (IAAFT)
algorithm. Both the AAFT and IAAFT algorithm conserve the amplitude
distribution in real space and reproduce the power spectrum (PS) of the
original data set very accurately. The basic assumption in both algorithms is
that higher-order correlations can be wiped out using a Fourier phase
randomization procedure. In both cases, however, the randomness of the Fourier
phases is only imposed before the (first) Fourier back tranformation. Until
now, it has not been studied how the subsequent remapping and iteration steps
may affect the randomness of the phases. Using the Lorenz system as an example,
we show that both algorithms may create surrogate realizations containing
Fourier phase correlations. We present two new iterative surrogate data
generating methods being able to control the randomization of Fourier phases at
every iteration step. The resulting surrogate realizations which are truly
linear by construction display all properties needed for surrogate data.


title: String Functions for Affine Lie Algebras Integrable Modules

abstract:
  The recursion relations of branching coefficients $k_{\xi}^{(\mu)}$ for a
module $L_{\frak{g}\downarrow \frak{h}}^{\mu}$ reduced to a Cartan subalgebra
$\frak{h}$ are transformed in order to place the recursion shifts $\gamma \in
\Gamma_{\frak{a}\subset \frak{h}}$ into the fundamental Weyl chamber. The new
ensembles $F\Psi$ (the "folded fans") of shifts were constructed and the
corresponding recursion properties for the weights belonging to the fundamental
Weyl chamber were formulated. Being considered simultaneously for the set of
string functions (corresponding to the same congruence class $\Xi_{v}$ of
modules) the system of recursion relations constitute an equation
$\mathbf{M}_{(u)}^{\Xi_{v}} \mathbf{m}_{(u)}^{\mu}= \delta_{(u)}^{\mu}$ where
the operator $\mathbf{M}_{(u)}^{\Xi_{v}}$ is an invertible matrix whose
elements are defined by the coordinates and multiplicities of the shift weights
in the folded fans $F\Psi$ and the components of the vector
$\mathbf{m}_{(u)}^{\mu}$ are the string function coefficients for $L^{\mu}$
enlisted up to an arbitrary fixed grade $u$. The examples are presented where
the string functions for modules of $\frak{g}=A_{2}^{(1)}$ are explicitly
constructed demonstrating that the set of folded fans provides a compact and
effective tool to study the integrable highest weight modules.


title: Substrate effects on V2O3 thin films

abstract:
  We apply density functional theory and the augmented spherical wave method to
analyze the electronic structure of V2O3 in the vicinity of an interface to
Al2O3. The interface is modeled by a heterostructure setup of alternating
vanadate and aluminate slabs. We focus on the possible modifications of the
V2O3 electronic states in this geometry, induced by the presence of the
aluminate layers. In particular, we find that the tendency of the V 3d states
to localize is enhanced and may even cause a metal-insulator transition.


title:
Spin diffusion and magnetic eigenoscillations confined to single
  molecular layers in the organic conductors kappa-(BEDT-TTF)_2Cu[N(CN)_2X
  (X=Cl, Br)

abstract:
  The layered organic compounds, kappa-(BEDT-TTF)_2Cu[N(CN)_2X (X=Cl, Br) are
metals at ambient temperatures. At low temperatures, the Cl compound is a
weakly ferromagnetic Mott insulator while the isostructural Br compound is a
superconductor. We find by conduction electron spin resonance (CESR) and
antiferromagnetic resonance (AFMR) an extreme anisotropy of spin transport and
magnetic interactions in these materials. In the metallic state spin diffusion
is confined to single molecular layers within the spin lifetime of 10^-9 s.
Electrons diffuse several hundreds of nm without hopping to the next molecular
layer. In the magnetically ordered insulating phase of the Cl compound we
observe and calculate the four AFMR modes of the weakly coupled single
molecular layers. The inter-plane exchange field is comparable or less than the
typically 1 mT dipolar field and almost 10^6 times less than the intra-layer
exchange field.


title: Dark Matter in the USSM

abstract:
  We discuss the neutralino dark matter within classes of extended
supersymmetric models, referred to as the USSM, containing one additional SM
singlet Higgs plus an extra Z', together with their superpartners the singlino
and bino'.


title: Quantum mechanical evolution towards thermal equilibrium

abstract:
  The circumstances under which a system reaches thermal equilibrium, and how
to derive this from basic dynamical laws, has been a major question from the
very beginning of thermodynamics and statistical mechanics. Despite
considerable progress, it remains an open problem. Motivated by this issue, we
address the more general question of equilibration. We prove, with virtually
full generality, that reaching equilibrium is a universal property of quantum
systems: Almost any subsystem in interaction with a large enough bath will
reach an equilibrium state and remain close to it for almost all times. We also
prove several general results about other aspects of thermalisation besides
equilibration, for example, that the equilibrium state does not depend on the
detailed micro-state of the bath.


title: A note on regular Ramsey graphs

abstract:
  We prove that there is an absolute constant $C>0$ so that for every natural
$n$ there exists a triangle-free \emph{regular} graph with no independent set
of size at least $C\sqrt{n\log n}$.


title: Dimension of elliptic harmonic measure of Snowspheres

abstract:
  A metric space $\mathcal{S}$ is called a \defn{quasisphere} if there is a
quasisymmetric homeomorphism $f\colon S^2\to \mathcal{S}$. We consider the
elliptic harmonic measure, i.e., the push forward of 2-dimensional Lebesgue
measure by $f$. It is shown that for certain self similar quasispheres
$\mathcal{S}$ (snowspheres) the dimension of the elliptic harmonic measure is
strictly less than the Hausdorff dimension of $\mathcal{S}$.


title: Physics of risk and uncertainty in quantum decision making

abstract:
  The Quantum Decision Theory, developed recently by the authors, is applied to
clarify the role of risk and uncertainty in decision making and in particular
in relation to the phenomenon of dynamic inconsistency. By formulating this
notion in precise mathematical terms, we distinguish three types of
inconsistency: time inconsistency, planning paradox, and inconsistency
occurring in some discounting effects. While time inconsistency is well
accounted for in classical decision theory, the planning paradox is in
contradiction with classical utility theory. It finds a natural explanation in
the frame of the Quantum Decision Theory. Different types of discounting
effects are analyzed and shown to enjoy a straightforward explanation within
the suggested theory. We also introduce a general methodology based on
self-similar approximation theory for deriving the evolution equations for the
probabilities of future prospects. This provides a novel classification of
possible discount factors, which include the previously known cases
(exponential or hyperbolic discounting), but also predicts a novel class of
discount factors that decay to a strictly positive constant for very large
future time horizons. This class may be useful to deal with very long-term
discounting situations associated with intergenerational public policy choices,
encompassing issues such as global warming and nuclear waste disposal.


title: Kinetic equations with Maxwell boundary conditions

abstract:
  We prove global stability results of {\sl DiPerna-Lions} renormalized
solutions for the initial boundary value problem associated to some kinetic
equations, from which existence results classically follow. The (possibly
nonlinear) boundary conditions are completely or partially diffuse, which
includes the so-called Maxwell boundary conditions, and we prove that it is
realized (it is not only a boundary inequality condition as it has been
established in previous works). We are able to deal with Boltzmann,
Vlasov-Poisson and Fokker-Planck type models. The proofs use some trace
theorems of the kind previously introduced by the author for the Vlasov
equations, new results concerning weak-weak convergence (the renormalized
convergence and the biting $L^1$-weak convergence), as well as the
Darroz\`es-Guiraud information in a crucial way.


title: Completeness for Flat Modal Fixpoint Logics

abstract:
  This paper exhibits a general and uniform method to prove completeness for
certain modal fixpoint logics. Given a set \Gamma of modal formulas of the form
\gamma(x, p1, . . ., pn), where x occurs only positively in \gamma, the
language L\sharp (\Gamma) is obtained by adding to the language of polymodal
logic a connective \sharp\_\gamma for each \gamma \epsilon. The term
\sharp\_\gamma (\varphi1, . . ., \varphin) is meant to be interpreted as the
least fixed point of the functional interpretation of the term \gamma(x,
\varphi 1, . . ., \varphi n). We consider the following problem: given \Gamma,
construct an axiom system which is sound and complete with respect to the
concrete interpretation of the language L\sharp (\Gamma) on Kripke frames. We
prove two results that solve this problem. First, let K\sharp (\Gamma) be the
logic obtained from the basic polymodal K by adding a Kozen-Park style fixpoint
axiom and a least fixpoint rule, for each fixpoint connective \sharp\_\gamma.
Provided that each indexing formula \gamma satisfies the syntactic criterion of
being untied in x, we prove this axiom system to be complete. Second,
addressing the general case, we prove the soundness and completeness of an
extension K+ (\Gamma) of K\_\sharp (\Gamma). This extension is obtained via an
effective procedure that, given an indexing formula \gamma as input, returns a
finite set of axioms and derivation rules for \sharp\_\gamma, of size bounded
by the length of \gamma. Thus the axiom system K+ (\Gamma) is finite whenever
\Gamma is finite.


title:
Direct conversion of rheological compliance measurements into storage
  and loss moduli

abstract:
  We remove the need for Laplace/inverse-Laplace transformations of
experimental data, by presenting a direct and straightforward mathematical
procedure for obtaining frequency-dependent storage and loss moduli
($G'(\omega)$ and $G"(\omega)$ respectively), from time-dependent experimental
measurements. The procedure is applicable to ordinary rheological creep
(stress-step) measurements, as well as all microrheological techniques, whether
they access a Brownian mean-square displacement, or a forced compliance. Data
can be substituted directly into our simple formula, thus eliminating
traditional fitting and smoothing procedures that disguise relevant
experimental noise.


title: Physics Potential of Future Atmospheric Neutrino Searches

abstract:
  The potential of future high statistics atmospheric neutrino experiments is
considered, having in mind currently discussed huge detectors of various
technologies (water Cerekov, magnetized iron, liquid Argon). I focus on the
possibility to use atmospheric data to determine the octant of $\theta_{23}$
and the neutrino mass hierarchy. The sensitivity to the $\theta_{23}$-octant of
atmospheric neutrinos is competitive (or even superior) to long-baseline
experiments. I discuss the ideal properties of a fictitious atmospheric
neutrino detector to determine the neutrino mass hierarchy.


title:
Magnetic tunnel junctions with ferroelectric barriers: Prediction of
  four resistance states from first-principles

abstract:
  Magnetic tunnel junctions (MTJs), composed of two ferromagnetic electrodes
separated by a thin insulating barrier layer, are currently used in spintronic
devices, such as magnetic sensors and magnetic random access memories.
Recently, driven by demonstrations of ferroelectricity at the nanoscale,
thin-film ferroelectric barriers were proposed to extend the functionality of
MTJs. Due to the sensitivity of conductance to the magnetization alignment of
the electrodes (tunnelling magnetoresistance) and the polarization orientation
in the ferroelectric barrier (tunnelling electroresistance), these multiferroic
tunnel junctions (MFTJs) may serve as four-state resistance devices. Based on
first-principles calculations we demonstrate four resistance states in
SrRuO3/BaTiO3/SrRuO3 MFTJs with asymmetric interfaces. We find that the
resistance of such a MFTJ is significantly changed when the electric
polarization of the barrier is reversed and/or when the magnetizations of the
electrodes are switched from parallel to antiparallel. These results reveal the
exciting prospects of MFTJs for application as multifunctional spintronic
devices.


title: Quantum tunneling of a single semifluxon in a 0-pi Josephson junction

abstract:
  We consider a symmetric 0-pi Josephson junction of length $L$, which
classically can be in one of two degenerate ground states up or down,
corresponding to supercurrents circulating clockwise or counterclockwise around
the 0-pi boundary. When the length $L$ of the junction becomes smaller than the
Josephson penetration depth $\lambda_J$, the system can switch from one state
to the other due to thermal fluctuations or quantum tunneling. We map this
problem to the dynamics of a single particle in a periodic double well
potential and estimate parameters for which macroscopic quantum coherence may
be observed. We conclude that this system is not very promising to build a
qubit because (a) it requires very low temperatures to reach the quantum
regime, (b) its tiny flux is hard to read out and (c) it is very sensitive to
the asymmetries between the 0 and pi parts of the junction.


title: Breached pairing in trapped three-color atomic Fermi gases

abstract:
  We introduce an exactly solvable model for trapped three-color atom gases.
Applications to a cigar-shaped trapped cold fermions reveal a complex structure
of breached pairing phases. We find two competing superfluid phases at weak and
intermediate couplings, each one with two color pair condensates, that can be
distinguished from density profile measurements.


title:
A spatially resolved study of photoelectric heating and [CII] cooling in
  the LMC

abstract:
  (abridged) We study photoelectric heating throughout the Large Magellanic
Cloud. We quantify the importance of the [CII] cooling line and the
photoelectric heating process of various environments in the LMC and
investigate which parameters control the extent of photoelectric heating. We
use the BICE [CII] map and the Spitzer/SAGE infrared maps. We examine the
spatial variations in the efficiency of photoelectric heating: photoelectric
heating rate over power absorbed by grains. We correlate the photoelectric
heating efficiency and the emission from various dust constituents and study
the variations as a function of H\alpha emission, dust temperatures, and the
total infrared luminosity. From this we estimate radiation field, gas
temperature, and electron density. We find systematic variations in
photoelectric efficiency. The highest efficiencies are found in the diffuse
medium, while the lowest coincide with bright star-forming regions (~1.4 times
lower). The [CII] line emission constitutes 1.32% of the far infrared
luminosity across the whole of the LMC. We find correlations between the [CII]
emission and ratios of the mid infrared and far infrared bands, which comprise
various dust constituents. The correlations are interpreted in light of the
spatial variations of the dust abundance and by the local environmental
conditions that affect the dust emission properties. As a function of the total
infrared surface brightness, S_{TIR}, the [CII] surface brightness can be
described as: S_{[CII]}=1.25 S_{TIR}^{0.69} [10^{-3} erg s^{-1} cm^{-2}
sr^{-1}]. The [CII] emission is well-correlation with the 8 micrometer
emission, suggesting that the polycyclic aromatic hydrocarbons play a dominant
role in the photoelectric heating process.


title:
Prospects of searching for (un)particles from Hidden Sectors using
  rapidity correlations in multiparticle production at the LHC

abstract:
  Most signatures of new physics have been studied on the transverse plane with
respect to the beam direction at the LHC where background is much reduced. In
this paper we propose the analysis of inclusive longitudinal (pseudo)rapidity
correlations among final-state (charged) particles in order to search for
(un)particles belonging to a Hidden Sector beyond the Standard Model, using a
selected sample of p-p minimum bias events (applying appropriate off-line cuts
on events based on, e.g., minijets, high-multiplicity, event shape variables,
high-pT leptons and photons, etc) collected at the early running of the LHC. To
this aim, we examine inclusive and semi-inclusive two-particle correlation
functions, forward-backward correlations, and factorial moments of the
multiplicity distribution, without resorting to any particular model but under
very general (though simplifying) assumptions. Finally, motivated by some
analysis techniques employed in the search for Quark-Gluon-Plasma in heavy-ion
collisions, we investigate the impact of such intermediate (un)particle stuff
on the (multi)fractality of parton cascades in p-p collisions, by means of a
Levy stable law description and a Ginzburg-Landau model of phase transitions.
Results from our preliminary study seem encouraging for possible dedicated
analyses at the LHC and Tevatron experiments.


title: The rotation and coma profiles of comet C/2004 Q2 (Machholz)

abstract:
  Aims. Rotation periods of cometary nuclei are scarce, though important when
studying the nature and origin of these objects. Our aim is to derive a
rotation period for the nucleus of comet C/2004 Q2 (Machholz). Methods. C/2004
Q2 (Machholz) was monitored using the Merope CCD camera on the Mercator
telescope at La Palma, Spain, in January 2005, during its closest approach to
Earth, implying a high spatial resolution (50km per pixel). One hundred seventy
images were recorded in three different photometric broadband filters, two blue
ones (Geneva U and B) and one red (Cousins I). Magnitudes for the comet's
optocentre were derived with very small apertures to isolate the contribution
of the nucleus to the bright coma, including correction for the seeing. Our CCD
photometry also permitted us to study the coma profile of the inner coma in the
different bands. Results. A rotation period for the nucleus of P = 9.1 +/- 0.2
h was derived. The period is on the short side compared to published periods of
other comets, but still shorter periods are known. Nevertheless, comparing our
results with images obtained in the narrowband CN filter, the possibility that
our method sampled P/2 instead of P cannot be excluded. Coma profiles are also
presented, and a terminal ejection velocity of the grains v_gr = 1609 +/- 48
m/s is found from the continuum profile in the I band.


title: Gibbsianness and non-Gibbsianness in divide and color models

abstract:
  For parameters $p\in[0,1]$ and $q>0$ such that the Fortuin--Kasteleyn (FK)
random-cluster measure $\Phi_{p,q}^{\mathbb{Z}^d}$ for $\mathbb{Z}^d$ with
parameters $p$ and $q$ is unique, the $q$-divide and color [$\operatorname
{DaC}(q)$] model on $\mathbb{Z}^d$ is defined as follows. First, we draw a bond
configuration with distribution $\Phi_{p,q}^{\mathbb{Z}^d}$. Then, to each (FK)
cluster (i.e., to every vertex in the FK cluster), independently for different
FK clusters, we assign a spin value from the set $\{1,2,\...,s\}$ in such a way
that spin $i$ has probability $a_i$. In this paper, we prove that the resulting
measure on spin configurations is a Gibbs measure for small values of $p$ and
is not a Gibbs measure for large $p$, except in the special case of $q\in
\{2,3,\...\}$, $a_1=a_2=\...=a_s=1/q$, when the $\operatorname {DaC}(q)$ model
coincides with the $q$-state Potts model.


title: Surface Loving and Surface Avoiding modes

abstract:
  We theoretically study the propagation of sound waves in GaAs/AlAs
superlattices focussing on periodic modes in the vicinity of the band gaps.
Based on analytical and numerical calculations, we show that these modes are
the product of a quickly oscillating function times a slowly varying envelope
function. We carefully study the phase of the envelope function compared to the
surface of a semi-infinite superlattice. Especially, the dephasing of the
superlattice compared to its surface is a key parameter. We exhibit two kind of
modes: Surface Avoiding and Surface Loving Modes whose envelope functions have
their minima and respectively maxima in the vicinity of the surface. We finally
consider the observability of such modes. While Surface avoiding modes have
experimentally been observed (Phys. Rev. Lett. 97, 1224301 (2006)), we show
that Surface Loving Modes are likely to be observable and we discuss the
achievement of such experiments. The proposed approach could be easily
transposed to other types of wave propagation in unidimensional semi-infinite
periodic structures as photonic Bragg mirror.


title:
A purely algebraic construction of a gauge and renormalization group
  invariant scalar glueball operator

abstract:
  This paper presents a complete algebraic proof of the renormalizability of
the gauge invariant $d=4$ operator $F_{\mu\nu}^2(x)$ to all orders of
perturbation theory in pure Yang-Mills gauge theory, whereby working in the
Landau gauge. This renormalization is far from being trivial as mixing occurs
with other $d=4$ gauge variant operators, which we identify explicitly. We
determine the mixing matrix $Z$ to all orders in perturbation theory by using
only algebraic arguments and consequently we can uncover a renormalization
group invariant by using the anomalous dimension matrix $\Gamma$ derived from
$Z$. We also present a future plan for calculating the mass of the lightest
scalar glueball with the help of the framework we have set up.


title: Pendulum Integration and Elliptic Functions

abstract:
  Revisiting canonical integration of the classical pendulum around its
unstable equilibrium, normal hyperbolic canonical coordinates are constructed


title: The epsilon regime with Wilson fermions

abstract:
  We study the impact of explicit chiral symmetry breaking of Wilson fermions
on mesonic correlators in the epsilon-regime using Wilson chiral perturbation
theory (WChPT). We generalize the epsilon-expansion of continuum ChPT to
nonzero lattice spacings for various quark mass regimes. It turns out that the
corrections due to a nonzero lattice spacing are highly suppressed for typical
quark masses of the order aLambda_QCD^2. The lattice spacing effects become
more pronounced for smaller quark masses and lead to non-trivial corrections of
the continuum ChPT results at next-to-leading order. We compute these
corrections for the standard current and density correlation functions. A fit
to lattice data shows that these corrections are small, as expected.


title:
Entanglement generation and perfect state transfer in ferromagnetic
  qubit chains

abstract:
  We propose to use ferromagnetic systems for entanglement generation and
distribution together with perfect state transfer between distant parties in a
qubit chain. The scheme relies on an effective 2-qubit dynamics, realized by
leaving two empty sites in a uniformly filled chain. This allows long-range
interacting qubit chains to serve as quantum channels for both tasks with
optimal performances. Remarkably, the entanglement between sender and receiver
sites is independent of both the transmission distance and of system size. This
property opens new perspectives for short and mid-range quantum communication
with qubit chains.


title:
A New Trend in Optimization on Multi Overcomplete Dictionary toward
  Inpainting

abstract:
  Recently, great attention was intended toward overcomplete dictionaries and
the sparse representations they can provide. In a wide variety of signal
processing problems, sparsity serves a crucial property leading to high
performance. Inpainting, the process of reconstructing lost or deteriorated
parts of images or videos, is an interesting application which can be handled
by suitably decomposition of an image through combination of overcomplete
dictionaries. This paper addresses a novel technique of such a decomposition
and investigate that through inpainting of images. Simulations are presented to
demonstrate the validation of our approach.


title:
Intersections of self-gravitating charged shells in a Reissner-Nordstrom
  field

abstract:
  We describe the equation of motion of two charged spherical shells with
tangential pressure in the field of a central Reissner-Nordstrom (RN) source.
We solve the problem of determining the motion of the two shells \textsl{after}
the intersection by solving the related Einstein-Maxwell equations and by
requiring a physical continuity condition on the shells velocities.
  We consider also four applications: post-Newtonian and ultra-relativistic
approximations, a test-shell case, and the ejection mechanism of one shell.
  This work is a direct generalization of Barkov-Belinski-Bisnovati-Kogan
paper.


title: Soft processes at the LHC, I: Multi-component model

abstract:
  We emphasize the sizeable effects of absorption on high-energy `soft'
processes, and, hence, the necessity to include multi-Pomeron-Pomeron
interactions in the usual multi-channel eikonal description. We present a model
which includes a complete set of the multi-Pomeron vertices and which accounts
for the diffusion in both, the impact parameter and ln(k_t), of the parton
during its evolution in rapidity. We tune the model to the available data for
soft processes in the CERN-ISR to Tevatron energy range. We make predictions
for `soft' observables at the LHC.


title: Outer-totalistic cellular automata on graphs

abstract:
  We present an intuitive formalism for implementing cellular automata on
arbitrary topologies. By that means, we identify a symmetry operation in the
class of elementary cellular automata. Moreover, we determine the subset of
topologically sensitive elementary cellular automata and find that the overall
number of complex patterns decreases under increasing neighborhood size in
regular graphs. As exemplary applications, we apply the formalism to complex
networks and compare the potential of scale-free graphs and metabolic networks
to generate complex dynamics.


title:
Sensing Models and Its Impact on Network Coverage in Wireless Sensor
  Network

abstract:
  Network coverage of wireless sensor network (WSN) means how well an area of
interest is being monitored by the deployed network. It depends mainly on
sensing model of nodes. In this paper, we present three types of sensing models
viz. Boolean sensing model, shadow-fading sensing model and Elfes sensing
model. We investigate the impact of sensing models on network coverage. We also
investigate network coverage based on Poisson node distribution. A comparative
study between regular and random node placement has also been presented in this
paper. This study will be useful for coverage analysis of WSN.


title: Slow escaping points of meromorphic functions

abstract:
  We show that for any transcendental meromorphic function $f$ there is a point
$z$ in the Julia set of $f$ such that the iterates $f^n(z)$ escape, that is,
tend to $\infty$, arbitrarily slowly. The proof uses new covering results for
analytic functions. We also introduce several slow escaping sets, in each of
which $f^n(z)$ tends to $\infty$ at a bounded rate, and establish the
connections between these sets and the Julia set of $f$. To do this, we show
that the iterates of $f$ satisfy a strong distortion estimate in all types of
escaping Fatou components except one, which we call a plane-filling wandering
domain. We give examples to show how varied the structures of these slow
escaping sets can be.


title:
Probabilistic SVM/GMM Classifier for Speaker-Independent Vowel
  Recognition in Continues Speech

abstract:
  In this paper, we discuss the issues in automatic recognition of vowels in
Persian language. The present work focuses on new statistical method of
recognition of vowels as a basic unit of syllables. First we describe a vowel
detection system then briefly discuss how the detected vowels can feed to
recognition unit. According to pattern recognition, Support Vector Machines
(SVM) as a discriminative classifier and Gaussian mixture model (GMM) as a
generative model classifier are two most popular techniques. Current
state-ofthe- art systems try to combine them together for achieving more power
of classification and improving the performance of the recognition systems. The
main idea of the study is to combine probabilistic SVM and traditional GMM
pattern classification with some characteristic of speech like band-pass energy
to achieve better classification rate. This idea has been analytically
formulated and tested on a FarsDat based vowel recognition system. The results
show inconceivable increases in recognition accuracy. The tests have been
carried out by various proposed vowel recognition algorithms and the results
have been compared.


title:
Evaluating the Impact of Missing Data Imputation through the use of the
  Random Forest Algorithm

abstract:
  This paper presents an impact assessment for the imputation of missing data.
The data set used is HIV Seroprevalence data from an antenatal clinic study
survey performed in 2001. Data imputation is performed through five methods:
Random Forests, Autoassociative Neural Networks with Genetic Algorithms,
Autoassociative Neuro-Fuzzy configurations, and two Random Forest and Neural
Network based hybrids. Results indicate that Random Forests are superior in
imputing missing data in terms both of accuracy and of computation time, with
accuracy increases of up to 32% on average for certain variables when compared
with autoassociative networks. While the hybrid systems have significant
promise, they are hindered by their Neural Network components. The imputed data
is used to test for impact in three ways: through statistical analysis, HIV
status classification and through probability prediction with Logistic
Regression. Results indicate that these methods are fairly immune to imputed
data, and that the impact is not highly significant, with linear correlations
of 96% between HIV probability prediction and a set of two imputed variables
using the logistic regression analysis.


title:
Soft processes at the LHC, II: Soft-hard factorization breaking and gap
  survival

abstract:
  We calculate the probability that the rapidity gaps in diffractive processes
survive both eikonal and enhanced rescattering. We present arguments that
enhanced rescattering, which violates soft-hard factorization, is not very
strong. Accounting for NLO effects, there is no reason to expect that the black
disc regime is reached at the LHC. We discuss the predictions for the survival
of the rapidity gaps for exclusive Higgs production at the LHC.


title: Exploiting Geometric Degrees of Freedom in Topological Quantum Computing

abstract:
  In a topological quantum computer, braids of non-Abelian anyons in a
(2+1)-dimensional space-time form quantum gates, whose fault tolerance relies
on the topological, rather than geometric, properties of the braids. Here we
propose to create and exploit redundant geometric degrees of freedom to improve
the theoretical accuracy of topological single- and two-qubit quantum gates. We
demonstrate the power of the idea using explicit constructions in the Fibonacci
model. We compare its efficiency with that of the Solovay-Kitaev algorithm and
explain its connection to the leakage errors reduction in an earlier
construction [Phys. Rev. A 78, 042325 (2008)].


title: Observations of the cataclysmic variable SDSS J081321.91+452809.4

abstract:
  Our observations of the first reported outburst of SDSS J081321.91+452809.4
during 2008 April show that this cataclysmic variable is a dwarf nova. The
outburst amplitude was at least 3.1 magnitudes and the outburst appears to have
been rather short-lived at around 3 days with a rapid decline to quiescence of
0.73 mag/day.


title: Leading proton production in deep inelastic scattering at HERA

abstract:
  The semi-inclusive reaction e+ p -> e+ X p was studied with the ZEUS detector
at HERA using an integrated luminosity of 12.8 pb-1. The final-state proton,
which was detected with the ZEUS leading proton spectrometer, carried a large
fraction of the incoming proton energy, xL>0.32, and its transverse momentum
squared satisfied pT^2<0.5 GeV^2; the exchanged photon virtuality, Q^2, was
greater than 3 GeV^2 and the range of the masses of the photon-proton system
was 45<W<225 GeV. The leading proton production cross section and rates are
presented as a function of xL, pT^2, Q^2 and the Bjorken scaling variable, x.


title: Superfluid signatures in magnetar seismology

abstract:
  We investigate the role of neutron star superfluidity for magnetar
oscillations. Using a plane-wave analysis we estimate the effects of a neutron
superfluid in the elastic crust region. We demonstrate that the superfluid
imprint is likely to be more significant than the effects of the crustal
magnetic field. We also consider the region immediately beneath the crust,
where superfluid neutrons are thought to coexist with a type II proton
superconductor. Since the magnetic field in the latter is carried by an array
of fluxtubes, the dynamics of this region differs from standard
magnetohydrodynamics. We show that the presence of the neutron superfluid
(again) leaves a clear imprint on the oscillations of the system. Taken
together, our estimates show that the superfluid components cannot be ignored
in efforts to carry out "magnetar seismology". This increases the level of
complexity of the modelling problem, but also points to the possibility of
using observations to probe the superfluid nature of supranuclear matter.


title: Solution of the Gribov problem from gauge invariance

abstract:
  A new approach to gauge fixed Yang-Mills theory is derived using the
Polyakov-Susskind projection techniques to build gauge invariant states. In our
approach, in contrast to the Faddeev-Popov method, the Gribov problem does not
prevent the gauge group from being factored out of the partition function.
Lattice gauge theory is used to illustrate the method via a calculation of the
static quark-antiquark potential generated by the gauge fields in the
fundamental modular region of Coulomb gauge.


title:
Rooted trees and symmetric functions: Zhao's homomorphism and the
  commutative hexagon

abstract:
  Recent work on perturbative quantum field theory has led to much study of the
Connes-Kreimer Hopf algebra. Its (graded) dual, the Grossman-Larson Hopf
algebra of rooted trees, had already been studied by algebraists. L. Foissy
introduced a noncommutative version of the Connes-Kreimer Hopf algebra, which
turns out to be self-dual. Using some homomorphisms defined by the author and
W. Zhao, we describe a commutative diagram that relates the aforementioned Hopf
algebras to each other and to the Hopf algebras of symmetric functions,
noncommutative symmetric functions, and quasi-symmetric functions.


title:
Many-body calculation of the spatial extent of the wave-function of a
  non-magnetic impurity in a d-wave high-temperature superconductor using the
  t--J model

abstract:
  Scanning tunneling microscopy (STM) by providing images of the effects of
individual zinc-impurities in cuprate superconductors with unprecedented
atomic-resolution offers a stringent test to models of correlated fermions for
high-temperature superconductors. Using a t-J model supplemented by Variational
Monte Carlo many-body techniques, the spatial dependence of the hole density
and of the valence bond and superconducting pairing amplitudes around the
impurity are computed. A cross-shaped four-fold symmetric structure very
similar to the observed STM observation is found, giving strong credit to the
model.


title:
Non existence of principal values of signed Riesz transforms of non
  integer dimension

abstract:
  In this paper we prove that, given s> 0, if E is a subset of R^m with
positive and bounded s-dimensional Hausdorff measure H^s and the principal
values of the s-dimensional signed Riesz transform of H^s|E exist H^s-almost
everywhere in E, then s is integer. Other more general variants of this result
are also proven.


title: Shear-Viscosity to Entropy Density Ratio of a Relativistic Hadron Gas

abstract:
  Ultrarelativistic heavy-ion collisions at the Relativistic Heavy-Ion Collider
(RHIC) are thought to have produced a state of matter called the
Quark-Gluon-Plasma, characterized by a very small shear viscosity to entropy
density ratio $\eta/s$, near the lower bound predicted for that quantity by
Anti-deSitter space/Conformal Field Theory (AdS/CFT) methods. As the produced
matter expands and cools, it evolves through a phase described by a hadron gas
with rapidly increasing $\eta/s$. We calculate $\eta/s$ as a function of
temperature in this phase and find that its value poses a challenge for viscous
relativistic hydrodynamics, which requires small values of $\eta/s$ throughout
the entire evolution of the reaction in order to successfully describe the
collective flow observables at RHIC. We show that the inclusion of non-unit
fugacities will reduce $\eta/s$ in the hadronic phase, yet not sufficiently to
be compatible with viscous hydrodynamics. We therefore conclude that the origin
of the low viscosity matter at RHIC must be in the partonic phase of the
reaction.


title: On the Expressive Power of 2-Stack Visibly Pushdown Automata

abstract:
  Visibly pushdown automata are input-driven pushdown automata that recognize
some non-regular context-free languages while preserving the nice closure and
decidability properties of finite automata. Visibly pushdown automata with
multiple stacks have been considered recently by La Torre, Madhusudan, and
Parlato, who exploit the concept of visibility further to obtain a rich
automata class that can even express properties beyond the class of
context-free languages. At the same time, their automata are closed under
boolean operations, have a decidable emptiness and inclusion problem, and enjoy
a logical characterization in terms of a monadic second-order logic over words
with an additional nesting structure. These results require a restricted
version of visibly pushdown automata with multiple stacks whose behavior can be
split up into a fixed number of phases. In this paper, we consider 2-stack
visibly pushdown automata (i.e., visibly pushdown automata with two stacks) in
their unrestricted form. We show that they are expressively equivalent to the
existential fragment of monadic second-order logic. Furthermore, it turns out
that monadic second-order quantifier alternation forms an infinite hierarchy
wrt words with multiple nestings. Combining these results, we conclude that
2-stack visibly pushdown automata are not closed under complementation.
Finally, we discuss the expressive power of B\"{u}chi 2-stack visibly pushdown
automata running on infinite (nested) words. Extending the logic by an infinity
quantifier, we can likewise establish equivalence to existential monadic
second-order logic.