title:
Feedback in the local LBG Analog Haro 11 as probed by far-UV and X-ray
  observations

abstract:
  We have re-analyzed FUSE data and obtained new Chandra observations of Haro
11, a local (D_L=88 Mpc) UV luminous galaxy. Haro 11 has a similar far-UV
luminosity (10^10.3 L_\odot), UV surface brightness (10^9.4 L_\odot kpc^-2),
SFR, and metallicity to that observed in Lyman Break Galaxies (LBGs). We show
that Haro 11 has extended, soft thermal (kT~0.68 keV) X-ray emission with a
luminosity and size which scales with the physical properties (e.g. SFR,
stellar mass) of the host galaxy. An enhanced alpha/Fe, ratio of ~4 relative to
solar abundance suggests significant supernovae enrichment. These results are
consistent with the X-ray emission being produced in a shock between a
supernovae driven outflow and the ambient material. The FUV spectra show strong
absorption lines similar to those observed in LBG spectra. A blueshifted
absorption component is identified as a wind outflowing at ~200-280 km/s.
OVI\lambda\lambda1032,1038 emission, the dominant cooling mechanism for coronal
gas at T~10^5.5 K is also observed. If associated with the outflow, the
luminosity of the OVI emission suggests that <20% of the total mechanical
energy from the supernovae and solar winds is being radiated away. This implies
that radiative cooling through OVI is not significantly inhibiting the growth
of the outflowing gas. In contradiction to the findings of Bergvall et al 2006,
we find no convincing evidence of Lyman continuum leakage in Haro 11. We
conclude that the wind has not created a `tunnel' allowing the escape of a
significant fraction of Lyman continuum photons and place a limit on the escape
fraction of f_{esc}<2%. Overall, both Haro 11 and a previously observed LBG
analogue VV 114, provide an invaluable insight into the X-ray and FUV
properties of high redshift LBGs.


title: Lithium in LP 944-20

abstract:
  We present a new estimate of the lithium abundance in the atmosphere of the
brown dwarf LP 944-20. Our analysis is based on a self-consistent analysis of
low, intermediate and high resolution optical and near-infrared spectra. We
obtain log N(Li) = 3.25 +/-0.25 using fits of our synthetic spectra to the Li I
resonance line doublet profiles observed with VLT/UVES and AAT/SPIRAL. This
lithium abundance is over two orders of magnitude larger than previous
estimates in the literature. In order to obtain good fits of the resonance
lines of K I and Rb I and better fits to the TiO molecular absorption around
the Li I resonance line, we invoke a semi-empirical model atmosphere with the
dusty clouds located above the photosphere. The lithium abundance, however, is
not changed by the effects of the dusty clouds. We discuss the implications of
our estimate of the lithium abundance in LP 944-20 for the understanding of the
properties of this benchmark brown dwarf.


title: Phase Transitions of S=1 Spinor Condensates in an Optical Lattice

abstract:
  We study the phase diagram of spin-one polar condensates in a two dimensional
optical lattice with magnetic anisotropy. We show that the topological binding
of vorticity to nematic disclinations allows for a rich variety of phase
transitions. These include Kosterlitz-Thouless-like transitions with a
superfluid stiffness jump that can be experimentally tuned to take a continuous
set of values, and a new cascaded Kosterlitz-Thouless transition, characterized
by two divergent length scales. For higher integer spin bosons S, the thermal
phase transition out of the planar polar phase is strongly affected by the
parity of S.


title:
Riemann-Hilbert problem associated to Frobenius manifold structures on
  Hurwitz spaces: irregular singularity

abstract:
  Solutions to the Riemann-Hilbert problems with irregular singularities
naturally associated to semisimple Frobenius manifold structures on Hurwitz
spaces (moduli spaces of meromorphic functions on Riemann surfaces) are
constructed. The solutions are given in terms of meromorphic bidifferentials
defined on the underlying Riemann surface. The relationship between different
classes of Frobenius manifold structures on Hurwitz spaces (real doubles,
deformations) is described on the level of the corresponding Riemann-Hilbert
problems.


title:
Search for direct CP violating charge asymmetries in
  $K^\pm\to\pi^\pm\pi^+\pi^-$ and $K^\pm\to\pi^\pm\pi^0\pi^0$ decays

abstract:
  A measurement of the direct CP violating charge asymmetries of the Dalitz
plot linear slopes $A_g=(g^+-g^-)/(g^++g^-)$ in $K^\pm\to\pi^\pm\pi^+\pi^-$ and
$K^\pm\to\pi^\pm\pi^0\pi^0$ decays by the NA48/2 experiment at CERN SPS is
presented. A new technique of asymmetry measurement involving simultaneous
$K^+$ and $K^-$ beams and a large data sample collected allowed a result of an
unprecedented precision. The charge asymmetries were measured to be
$A^c_g=(-1.5\pm2.2)\times10^{-4}$ with $3.11\times 10^9$
$K^{\pm}\to\pi^\pm\pi^+\pi^-$ decays, and $A^n_g=(1.8\pm1.8)\times10^{-4}$ with
$9.13\times 10^7$ $K^{\pm}\to\pi^\pm\pi^0\pi^0$ decays. The precision of the
results is limited mainly by the size of the data sample.


title: Ideals in the ring of Colombeau generalized numbers

abstract:
  In this paper, the structure of the ideals in the ring of Colombeau
generalized numbers is investigated. Connections with the theories of exchange
rings, Gelfand rings and lattice-ordered rings are given. Characterizations for
prime, projective, pure and topologically closed ideals are given, answering in
particular the questions about prime ideals in [Aragona-Juriaans]. Also
z-ideals in the sense of [Mason] are characterized. The quotient rings modulo
maximal ideals are shown to be canonically isomorphic with nonstandard fields
of asymptotic numbers. Finally, a detailed study of the ideals allows us to
prove that (under some set-theoretic assumption) the Hahn-Banach extension
property does not hold for a large class of topological modules over the ring
of Colombeau generalized numbers.


title:
A double demonstration of a theorem of Newton, which gives a relation
  between the coefficient of an algebraic equation and the sums of the powers
  of its roots

abstract:
  Translation from the Latin original, "Demonstratio gemina theorematis
Neutoniani, quo traditur relatio inter coefficientes cuiusvis aequationis
algebraicae et summas potestatum radicum eiusdem" (1747). E153 in the Enestrom
index. In this paper Euler gives two proofs of Newton's identities, which
express the sums of powers of the roots of a polynomial in terms of its
coefficients. The first proof takes the derivative of a logarithm. The second
proof uses induction and the fact that in a polynomial of degree $n$, the
coefficient of $x^{n-k}$ is equal to the sum of the products of $k$ roots,
times $(-1)^k$.


title: The Ring of Integers in the Canonical Structures of the Planes

abstract:
  The \emph{canonical structures of the plane} are those that result, up to
isomorphism, from the rings that have the form $\mathds{R}[x]/(ax^2+bx+c)$ with
$a\neq 0$.That ring is isomorphic to $\mathds{R}[\theta]$, where $\theta$ is
the equivalence class of x, which satisfies $\theta^2 = (-\dfrac{c}{a}) +
\theta (-\dfrac{b}{a})$. On the other hand, it is known that, up to
isomorphism, there are only three canonical structures: the corresponding to
$\theta^2 = -1$ (the complex numbers), $\theta^2 = 1$ (the perplex or
hyperbolic numbers) and $\theta^2 = 0$ (the parabolic numbers). This article
copes with the algebraic structure of the rings of integers
$\mathds{Z}[\theta]$ in the perplex and parabolic cases by \emph{analogy} to
the complex cases: the ring of Gaussian integers. For those rings a
\emph{division algorithm} is proved and it is obtained, as a consequence, the
characterization of the prime and irreducible elements.


title:
Clustering and Feature Selection using Sparse Principal Component
  Analysis

abstract:
  In this paper, we study the application of sparse principal component
analysis (PCA) to clustering and feature selection problems. Sparse PCA seeks
sparse factors, or linear combinations of the data variables, explaining a
maximum amount of variance in the data while having only a limited number of
nonzero coefficients. PCA is often used as a simple clustering technique and
sparse factors allow us here to interpret the clusters in terms of a reduced
set of variables. We begin with a brief introduction and motivation on sparse
PCA and detail our implementation of the algorithm in d'Aspremont et al.
(2005). We then apply these results to some classic clustering and feature
selection problems arising in biology.


title: Diffusion Processes in Turbulent Magnetic Fields

abstract:
  We study of the effect of turbulence on diffusion processes within magnetized
medium. While we exemplify our treatment with heat transfer processes, our
results are quite general and are applicable to different processes, e.g.
diffusion of heavy elements. Our treatment is also applicable to describing the
diffusion of cosmic rays arising from magnetic field wandering. In particular,
we find that when the energy injection velocity is smaller than the Alfven
speed the heat transfer is partially suppressed, while in the opposite regime
the effects of turbulence depend on the intensity of driving. In fact, the
scale $l_A$ at which the turbulent velocity is equal the Alfven velocity is a
new important parameter. When the electron mean free path $\lambda$ is larger
than $l_A$, the stronger the the turbulence, the lower thermal conductivity by
electrons is. The turbulent motions, however, induces their own advective
transport, that can provide effective diffusivity. For clusters of galaxies, we
find that the turbulence is the most important agent for heat transfer. We also
show that the domain of applicability of the subdiffusion concept is rather
limited.


title:
Detection of the magneto-structural phase coexistence in MnAs epilayers
  at a very early stage

abstract:
  We report on the appearance of magnetic stripes in MnAs/GaAs(100) epilayers
at temperatures well below the ferromagnetic transition of the system. The
study has been performed by ferromagnetic resonance experiments (FMR) on MnAs
epilayers grown on (100) and (111) GaAs substrates. The FMR spectra of the
MnAs/GaAs(100) samples at 180 K reveal the appearance of zones of different
magnetic behavior with respect to the low-temperature homogeneous ferromagnetic
phase. The angular and the temperature dependence of the spectra serve us to
detect the inter-growth of the non-magnetic phase into the ferromagnetic phase
at a very early stage of the process. The experimental data show that the new
phase nucleates in a self-arranged array of stripes in MnAs/GaAs(100) thin
films while it grows randomly in the same films grown on GaAs(111).


title: Model Selection Through Sparse Maximum Likelihood Estimation

abstract:
  We consider the problem of estimating the parameters of a Gaussian or binary
distribution in such a way that the resulting undirected graphical model is
sparse. Our approach is to solve a maximum likelihood problem with an added
l_1-norm penalty term. The problem as formulated is convex but the memory
requirements and complexity of existing interior point methods are prohibitive
for problems with more than tens of nodes. We present two new algorithms for
solving problems with at least a thousand nodes in the Gaussian case. Our first
algorithm uses block coordinate descent, and can be interpreted as recursive
l_1-norm penalized regression. Our second algorithm, based on Nesterov's first
order method, yields a complexity estimate with a better dependence on problem
size than existing interior point methods. Using a log determinant relaxation
of the log partition function (Wainwright & Jordan (2006)), we show that these
same algorithms can be used to solve an approximate sparse maximum likelihood
problem for the binary case. We test our algorithms on synthetic data, as well
as on gene expression and senate voting records data.


title: Optimal Solutions for Sparse Principal Component Analysis

abstract:
  Given a sample covariance matrix, we examine the problem of maximizing the
variance explained by a linear combination of the input variables while
constraining the number of nonzero coefficients in this combination. This is
known as sparse principal component analysis and has a wide array of
applications in machine learning and engineering. We formulate a new
semidefinite relaxation to this problem and derive a greedy algorithm that
computes a full set of good solutions for all target numbers of non zero
coefficients, with total complexity O(n^3), where n is the number of variables.
We then use the same relaxation to derive sufficient conditions for global
optimality of a solution, which can be tested in O(n^3) per pattern. We discuss
applications in subset selection and sparse recovery and show on artificial
examples and biological data that our algorithm does provide globally optimal
solutions in many cases.


title:
Quantization of massive scalar fields over static black string
  backgrounds

abstract:
  The renormalized mean value of the corresponding components of the
Energy-Momentum tensor for massive scalar fields coupled to an arbitrary
gravitational field configuration having cylindrical symmetry are analytically
evaluated using the Schwinger-DeWitt approximation, up to second order in the
inverse mass value. The general results are employed to explicitly derive
compact analytical expressions for the Energy-Momentum tensor in the particular
background of the Black-String spacetime. In the case of the Black String
considered in this work, we proof that a violation of the weak energy condition
occur at the horizon of the space-time for values of the coupling constant,
that include as particular cases the most interesting of minimal and conformal
coupling.


title: Two results from Morita theory of stable model categories

abstract:
  We prove two results from Morita theory of stable model categories. Both can
be regarded as topological versions of recent algebraic theorems. One is on
recollements of triangulated categories, which have been studied in the
algebraic case by J{\o}rgensen. We give a criterion which answers the following
question: When is there a recollement for the derived category of a given
symmetric ring spectrum in terms of two other symmetric ring spectra? The other
result is on well generated triangulated categories in the sense of Neeman.
Porta characterizes the algebraic well generated categories as localizations of
derived categories of DG categories. We prove a topological analogon: a
topological triangulated category is well generated if and only if it is
triangulated equivalent to a localization of the derived category of a
symmetric ring spectrum with several objects. Here `topological' means
triangulated equivalent to the homotopy category of a spectral model category.
Moreover, we show that every well generated spectral model category is Quillen
equivalent to a Bousfield localization of a category of modules via a single
Quillen functor.


title:
Vacuum polarization of massive spinor fields in static black-string
  backgrounds

abstract:
  The renormalized mean value of the quantum Lagrangian and the corresponding
components of the Energy-Momentum tensor for massive spinor fields coupled to
an arbitrary gravitational field configuration having cylindrical symmetry are
analytically evaluated using the Schwinger-DeWitt approximation, up to second
order in the inverse mass value. The general results are employed to explicitly
derive compact analytical expressions for the quantum mean Lagrangian and
Energy- Momentum tensor in the particular background of the Black-String
space-time.


title: Dipolar Bose-Einstein condensates at Finite temperature

abstract:
  We study a Bose-Einstein condensate (BEC) of a dilute gas with dipolar
interactions, at finite temperature, using the Hartree-Fock-Bogoliubov (HFB)
theory within the Popov approximation. An additional approximation involving
the dipolar exchange interaction is made to facilitate the computation. We
calculate the temperature dependence of the condensate fraction of a condensate
confined in a cylindrically symmetric harmonic trap. We show that the
bi-concave shaped condensates found in Ref. \cite{Ronen07} in certain pancake
traps at zero temperature, are also stable at finite temperature. Surprisingly,
the dip in the central density of these structured condensates is actually
enhanced at low finite temperatures. We explain this effect.


title:
Cross-sections of neutron rich nuclei from projectile fragmentation:
  canonical thermodynamic model estimates

abstract:
  A remarkably simple dependence of fragmentation cross-section on average
binding energy has been established in experimental data. This dependence was
empirically parametrised leading to a very useful formula for extrapolation. We
find that the canonical thermodynamic model, which has been used in the past
for successful computations of many observables resulting from
multifragmentation, reproduces the salient fetures of fragmentation
cross-sections of very neutron rich nuclei very well. This helps towards a
theoretical understanding of the observed data.


title:
Spin distribution following minor mergers and the effect of spin on the
  detection range for low-mass-ratio inspirals

abstract:
  We compute the probability distribution for the spin of a black hole
following a series of minor mergers with isotropically distributed,
non-spinning, inspiraling compact objects. By solving the Fokker-Planck
equation governing this stochastic process, we obtain accurate analytical fits
for the evolution of the mean and standard deviation of the spin distribution
in several parameter regimes. We complement these analytical fits with
numerical Monte-Carlo simulations in situations when the Fokker-Planck analysis
is not applicable. We find that a ~150 solar-mass intermediate-mass black hole
that gained half of its mass through minor mergers with neutron stars will have
dimensionless spin parameter chi=a/M~0.2 \pm 0.08. We estimate the effect of
the spin of the central black hole on the detection range for
intermediate-mass-ratio inspiral (IMRI) detections by Advanced LIGO and
extreme-mass-ratio inspiral(EMRI) detections by LISA. We find that for
realistic black hole spins, the inclination-averaged Advanced-LIGO IMRI
detection range may be increased by up to 10% relative to the range for IMRIs
into non-spinning intermediate-mass black holes. For LISA, we find that the
detection range for EMRIs into 10^5 solar-mass massive black holes (MBHs) is
not significantly affected by MBH spin, the range for EMRIs into 10^6
solar-mass MBHs is affected at the ~ 10% level, and EMRIs into maximally
spinning 10^7 solar-mass MBHs are detectable to a distance ~25 times greater
than EMRIs into non-spinning black holes. The resulting bias in favor of
detecting EMRIs into rapidly spinning MBHs will play a role when extracting the
MBH spin distribution from EMRI statistics.


title:
On the Positivity of the Coefficients of a Certain Polynomial Defined by
  Two Positive Definite Matrices

abstract:
  It is shown that the polynomial \[p(t) = \text{Tr}[(A+tB)^m]\] has positive
coefficients when $m = 6$ and $A$ and $B$ are any two 3-by-3 complex Hermitian
positive definite matrices. This case is the first that is not covered by
prior, general results. This problem arises from a conjecture raised by Bessis,
Moussa and Villani in connection with a long-standing problem in theoretical
physics. The full conjecture, as shown recently by Lieb and Seiringer, is
equivalent to $p(t)$ having positive coefficients for any $m$ and any two
$n$-by-$n$ positive definite matrices. We show that, generally, the question in
the real case reduces to that of singular $A$ and $B$, and this is a key part
of our proof.


title: Algebraic structures of multipartite quantum systems

abstract:
  We investigate the relation between multilinear mappings and multipartite
states. We show that the isomorphism between multilinear mapping and tensor
product completely characterizes decomposable multipartite states in a
mathematically well-defined manner.


title: Time-like vs Space-like Extra Dimensions

abstract:
  Higher-dimensional theories with time-like and space-like extra dimensions
are compared both from the conceptual and from the phenomenological points of
view. In this context causality and unitarity are discussed. It is shown that
additional time-like dimensions allow to recover four-dimensional phenomenology
without invoking neither Kaluza-Klein compactification procedure nor brane
world construct. It is shown, also, that contrary to scenarios with space-like
extra dimensions, in higher-dimensional space-times with additional time-like
dimensions the cosmological constant problem can be safely solved.


title:
An improved kinetic Monte Carlo approach for epitaxial submonolayer
  growth

abstract:
  Two-component submonolayer growth on triangular lattice is qualitatively
studied by kinetic Monte Carlo techniques. The hopping barrier governing
surface diffusion of the atoms is estimated with an improved formula and using
realistic pair interaction potentials. Realistic degrees of freedoms enhancing
the surface diffusion of atoms are also introduced. The main advantages of the
presented technique are the reduced number of free parameters and the clear
diffusion activated mechanism for the segregation of different types of atoms.
The potential of this method is exemplified by reproducing (i) vacancy and
stacking fault related phase-boundary creation and dynamics; (ii) a special
co-deposition and segregation process where the segregated atoms of the second
component surrounds the islands formed by the first type of atoms.


title: Dynamical $U(1)_R$ Breaking in the Metastable Vacua

abstract:
  In the Intriligator-Seiberg-Shih model, we parametrize spontaneous breaking
of $U(1)_R$ symmetry with two gauge singlets with R-charges 1 and --1. These
singlets can play the role of the messengers. The messenger scale is
dynamically generated, and hence there is no hierarchy problem between the
supersymmetry breaking scale and the messenger scale. In the gauge mediation
scenario, supersymmetry breaking scale turns out to be around
$\mathcal{O}(10^6)\textrm{GeV}$.


title:
Temperature and abundance profiles of hot gas in galaxy groups - I.
  Results and statistical analysis

abstract:
  The distribution of metals in groups of galaxies holds important information
about the chemical enrichment history of the Universe. Here we present radial
profiles of temperature and the abundance of iron and silicon of the hot
intragroup medium for a sample of 15 nearby groups of galaxies observed by
Chandra, selected for their regular X-ray morphology. All but one group display
a cool core, the size of which is found to correlate with the mean temperature
of the group derived outside this core. When scaled to this mean temperature,
the temperature profiles are remarkably similar, being analogous to those of
more massive clusters at large radii but significantly flatter inwards of the
temperature peak. The Fe abundance generally shows a central excess followed by
a radial decline, reaching a typical value of 0.1 solar within r_500, a factor
of two lower than corresponding results for clusters. Si shows less systematic
radial variation, on average displaying a less pronounced decline than Fe and
showing evidence for a flattening at large radii. Off-centre abundance peaks
are seen both for Fe and Si in a number of groups with well-resolved cores.
Derived abundance ratios indicate that supernovae type Ia are responsible for
80 per cent of the Fe in the group core, but the type II contribution increases
with radius and completely dominates at r_500. We present fitting formulae for
the radial dependence of temperature and abundances, to facilitate comparison
to results of numerical simulations of group formation and evolution. In a
companion paper, we discuss the implications of these results for feedback and
enrichment in galaxy groups.


title: Jacobi Forms of Critical Weight and Weil Representations

abstract:
  Jacobi forms can be considered as vector valued modular forms, and Jacobi
forms of critical weight correspond to vector valued modular forms of weight
$\frac12$. Since the only modular forms of weight $\frac12$ on congruence
subgroups of $\SL$ are theta series the theory of Jacobi forms of critical
weight is intimately related to the theory of Weil representations of finite
quadratic modules. This article explains this relation in detail, gives an
account of various facts about Weil representations which are useful in this
context, and it gives some applications of the theory developed herein by
proving various vanishing theorems and by proving a conjecture on Jacobi forms
of weight one on $\SL$ with character.


title:
Embedding of FRW Cosmology in DGP Scenario with a Non-Minimally Coupled
  Scalar Field on the Brane

abstract:
  We construct a DGP inspired braneworld scenario where a scalar field
non-minimally coupled to the induced Ricci curvature is present on the brane.
We show that this model allows for an embedding of the standard Friedmann
cosmology in the sense that the cosmological evolution of the background metric
on the brane can be described by the standard Friedmann equation. The relation
between our framework and the dark-energy formalism is explored.


title: Non-classical photon pair generation in atomic vapours

abstract:
  A scheme for the generation of non-classical pairs of photons in atomic
vapours is proposed. The scheme exploits the fact that the cross correlation of
the emission of photons from the extreme transitions of a four-level cascade
system shows anti-bunching which has not been reported earlier and which is
unlike the case of the three level cascade emission which shows bunching. The
Cauchy-Schwarz inequality which is the ratio of cross-correlation to the auto
correlation function in this case is estimated to be $10^3-10^6$ for
controllable time delay, and is one to four orders of magnitude larger compared
to previous experiments. The choice of Doppler free geometry in addition to the
fact that at three photon resonance the excitation/deexcitation processes occur
in a very narrow frequency band, ensures cleaner signals.


title: Primordial antimatter in the contemporary universe

abstract:
  In some baryogenesis scenarios, the universe acquires a non-vanishing average
baryonic charge, but the baryon to photon ratio is not spatially constant and
can be even negative in some space regions. This allows for existence of lumps
of antimatter in our neighborhood and the possibility that very compact
antimatter objects make a part of cosmological dark matter. Here I discuss the
peculiar signatures which may be observed in a near future.


title: X-ray diffraction from shock-loaded polycrystals

abstract:
  X-ray diffraction was demonstrated from shock-compressed polycrystalline
metal on nanosecond time scales. Laser ablation was used to induce shock waves
in polycrystalline foils of Be, 25 to 125 microns thick. A second laser pulse
was used to generate a plasma x-ray source by irradiation of a Ti foil. The
x-ray source was collimated to produce a beam of controllable diameter, and the
beam was directed at the Be sample. X-rays were diffracted from the sample, and
detected using films and x-ray streak cameras. The diffraction angle was
observed to change with shock pressure. The diffraction angles were consistent
with the uniaxial (elastic) and isotropic (plastic) compressions expected for
the loading conditions used. Polycrystalline diffraction will be used to
measure the response of the crystal lattice to high shock pressures and through
phase changes.


title: Clustering and Triaxial Deformations of $^{40}$Ca

abstract:
  We have studied the positive-parity states of $^{40}$Ca using antisymmetrized
molecular dynamics (AMD) and the generator coordinate method (GCM). Imposing
two different kinds of constraints on the variational calculation, we have
found various kinds of $^{40}{\rm Ca}$ structures such as a deformed-shell
structure, as well as $\alpha$-$^{36}$Ar and $^{12}$C-$^{28}$Si cluster
structures. After the GCM calculation, we obtained a normal-deformed band and a
superdeformed band together with their side bands associated with triaxial
deformation. The calculated $B(E2)$ values agreed well with empirical data. It
was also found that the normal-deformed and superdeformed bands have a
non-negligible $\alpha$-$^{36}$Ar cluster component and $^{12}$C-$^{28}$Si
cluster component, respectively. This leads to the presence of an
$\alpha$-$^{36}$Ar higher-nodal band occurring above the normal-deformed band.


title: Workspace Analysis of the Parallel Module of the VERNE Machine

abstract:
  The paper addresses geometric aspects of a spatial three-degree-of-freedom
parallel module, which is the parallel module of a hybrid serial-parallel
5-axis machine tool. This parallel module consists of a moving platform that is
connected to a fixed base by three non-identical legs. Each leg is made up of
one prismatic and two pairs of spherical joint, which are connected in a way
that the combined effects of the three legs lead to an over-constrained
mechanism with complex motion. This motion is defined as a simultaneous
combination of rotation and translation. A method for computing the complete
workspace of the VERNE parallel module for various tool lengths is presented.
An algorithm describing this method is also introduced.


title: Quantum dynamics of a qubit coupled with structured bath

abstract:
  The dynamics of an unbiased spin-boson model with Lorentzian spectral density
is investigated theoretically in terms of the perturbation theory based on a
unitary transformation. The non-equilibrium correlation function $P(t)$ and
susceptibility $\chi^{\prime\prime}(\omega)$ are calculated for both the
off-resonance case $\Delta\lesssim 0.5\Omega$ and the on-resonance case
$\Delta\sim \Omega$. The approach is checked by the Shiba's relation and the
sum rule. Besides, the coherent-incoherent transition point $\alpha_c$ can be
determined, which has not been demonstrated for the structured bath by previous
authors up to our knowledge.


title:
Comments on Bona-Masso type slicing conditions in long-term black hole
  evolutions

abstract:
  We review in generality why time-independent endstates can be reached in
black hole and collapse simulations, with and without excision. We characterise
the Killing states of the Bona-Masso slicing condition with time derivative
along the normals to the slice ("BMn") as solutions of a mixed
elliptic/hyperbolic differential equation on the slice. We show numerically
that these steady states can be reached as end states from typical initial data
with excision but can be reached with the puncture method only if the puncture
is not numerically well resolved. During the evolution, BMn slicings often form
gauge shocks. It may be that these are not seen in current 3D simulations only
through lack of resolution, although we expect that they can be avoided with
some care. Finally we point out that excision with BMn as currently implemented
is ill-posed and therefore not expected to converge; this can be cured. In
technical appendixes, we derive the equations of pure gauge systems on a fixed
spacetime, and bring the BSSN/NOR equations into 3-dimensional tensor form
suitable for multiple coordinate patches or spherical polar coordinates.


title:
Beltrami operators, non--symmetric elliptic equations and quantitative
  Jacobian bounds

abstract:
  In recent studies on the G-convergence of Beltrami operators, a number of
issues arouse concerning injectivity properties of families of quasiconformal
mappings. Bojarski, D'Onofrio, Iwaniec and Sbordone formulated a conjecture
based on the existence of a so-called primary pair. Very recently, Bojarski
proved the existence of one such pair. We provide a general, constructive,
procedure for obtaining a new rich class of such primary pairs. This proof is
obtained as a slight adaptation of previous work by the authors concerning the
nonvanishing of the Jacobian of pairs of solutions of elliptic equations in
divergence form in the plane. It is proven here that the results previously
obtained when the coefficient matrix is symmetric also extend to the
non-symmetric case. We also prove a much stronger result giving a quantitative
bound for the Jacobian determinant of the so-called \emph{periodic}
$\sigma$-harmonic sense preserving homeomorphisms of $\mathbb C$ onto itself.


title:
Engineering the electronic, magnetic and gap-related properties of the
  quinternary half-metallic Heusler alloys

abstract:
  We review the electronic and magnetic properties of the quinternary full
Heusler alloys of the type Co$_2$[Cr$_{1-x}$Mn$_x$][Al$_{1-y}$Si$_y$] employing
three different approaches : (i) the coherent potential approximation (CPA),
(ii) the virtual crystal approximation (VCA), and (iii) supercell calculations
(SC). All three methods give similar results and the local environment
manifested itself only for small details of the density of states. All alloys
under study are shown to be half-metals and their total spin moments follow the
so-called Slater-Pauling behavior of the ideal half-metallic systems. We
especially concentrate on the properties related to the minority-spin band-gap.
We present the possibility to engineer the properties of these alloys by
changing the relative concentrations of the low-valent transition metal and
$sp$ atoms in a continuous way. Our results show that for realistic
applications, ideal are the compounds rich in Si and Cr since they combine
large energy gaps (around 0.6 eV), robust half-metallicity with respect to
defects (the Fermi level is located near the middle of the gap) and high values
of the majority-spin density of states around the Fermi level which are needed
for large values of the perfectly spin-polarized current in spintronic devices
like spin-valves or magnetic tunnel junctions.


title:
Pair production of the heavy leptons in future high energy linear
  e^{+}e^{-} colliders

abstract:
  The littlest Higgs model with T-parity predicts the existence of the T-odd
particles, which can only be produced in pair. We consider pair production of
the T-odd leptons in future high energy linear $e^{+}e^{-}$ collider ($ILC$).
Our numerical results show that, as long as the T-odd leptons are not too
heavy, they can be copiously produced and their possible signals might be
detected via the processes $e^{+}e^{-}\to \bar{L}_{i}L_{j}$ in future $ILC$
experiments.


title:
Herbig-Haro Objects - Tracers of the Formation of Low-mass Stars and
  Sub-stellar Objects

abstract:
  Herbig-Haro objects (HHOs) are caused by outflows from young objects. Since
the outflow relies on mass accretion from a circumstellar disk, it indicates
ongoing growth. Recent results of infrared observations yielded evidence for
disks around brown dwarfs. This suggests that at least a certain fraction of
brown dwarfs forms like stars. Thus, young sub-stellar objects might cause HHOs
as well. We present selected results of a general survey for HHOs based on
DSS-II plates and CCD images taken with the Tautenburg Schmidt telescope.
Numerous young objects could be identified due to their association with newly
detected HHOs. In some cases the luminosity is consistent with very low-mass
stars or close to sub-stellar values. This holds for L1415-IRS and a few
infrared sources embedded in other dark clouds (e.g., GF9, BHR111). The
question on the minimum mass for outflow activity is addressed.


title: $Z_6$ symmetry of the Standard Model and Technicolor theory

abstract:
  We consider the possibility to continue the $Z_6$ symmetry of the Standard
Model to the Technicolor theories. Among the SU(N) Weinberg - Susskind models
and the SU(N) Farhi - Susskind models for $N>2$ only the SU(4) Farhi - Susskind
model may possess the mentioned symmetry. We also show that the hypercharge
assignment of Minimal Walking SU(2) Technicolor model may be chosen in such a
way that the additional discrete symmetry is preserved.


title:
Parity effect in Al and Nb single electron transistors in a tunable
  environment

abstract:
  Two different types of Cooper pair transistors, with Al and Nb islands, have
been investigated in a tunable electromagnetic environment. The device with an
Al island demonstrates gate charge modulation with 2e-periodicity in a wide
range of environmental impedances at bath temperatures below 340 mK. Contrary
to the results of the Al sample, we were not able to detect 2e-periodicity
under any conditions on similar samples with Nb island. We attribute this to
the material properties of Nb.


title:
Form factors, branching ratio and forward-backward asymmetry in B ->
  K_{1}ell ^{+} ell ^{-} decays

abstract:
  We study long-distance effects in rare exclusive semileptonic decays B ->
K_{1}ell ^{+}ell ^{-}, K_{1} is the axial vector meson.The form factors,
describing the meson transition amplitudes of the effective Hamiltonian, are
calculated using Ward identites which are then used to calculate branching
ratio and forward-backward asymmetry in these decay modes. The zero of
forward-backward asymmetry is of special interest and provide us the precission
test of Standard model.


title: Transient NN random walk on the line

abstract:
  We prove strong theorems for the local time at infinity of a nearest neighbor
transient random walk. First, laws of the iterated logarithm are given for the
large values of the local time. Then we investigate the length of intervals
over which the walk runs through (always from left to right) without ever
returning.


title: Optical characterization of ultra-high diffraction efficiency gratings

abstract:
  We report on the optical characterization of an ultra-high diffraction
efficiency grating in 1st order Littrow configuration. The apparatus used was
an optical cavity built from the grating under investigation and an additional
high reflection mirror. Measurement of the cavity finesse provided precise
information about the grating's diffraction efficiency and its optical loss. We
measured a finesse of 1580 from which we deduced a diffraction efficiency of
(99.635$\pm$0.016)% and an overall optical loss due to scattering and
absorption of just 0.185 %.
  Such high quality gratings, including the tool used for their
characterization, might apply for future gravitational wave detectors. For
example the demonstrated cavity itself presents an all-reflective, low-loss
Fabry-Perot resonator that might replace conventional arm cavities in advanced
high power Michelson interferometers.


title: Theory of cosmological perturbations in an anisotropic universe

abstract:
  This article describes the theory of cosmological perturbations around a
homogeneous and anisotropic universe of the Bianchi I type. Starting from a
general parameterisation of the perturbed spacetime a la Bardeen, a complete
set of gauge invariant variables is constructed. Three physical degrees of
freedom are identified and it is shown that, in the case where matter is
described by a scalar field, they generalize the Mukhanov-Sasaki variables. In
order to show that they are canonical variables, the action for the
cosmological perturbations at second order is derived. Two major physical
imprints of the primordial anisotropy are identified: (1) a scalar-tensor
``see-saw'' mechanism arising from the fact that scalar, vector and tensor
modes do not decouple and (2) an explicit dependence of the statistical
properties of the density perturbations and gravity waves on the wave-vector
instead of its norm. This analysis extends, but also sheds some light on, the
quantization procedure that was developed under the assumption of a
Friedmann-Lemaitre background spacetime, and allows to investigate the
robustness of the predictions of the standard inflationary scenario with
respect to the hypothesis on the symmetries of the background spacetime. These
effects of a primordial anisotropy may be related to some anomalies of the
cosmic microwave background anisotropies on large angular scales.


title:
The Causes of Halo Shape Changes Induced by Cooling Baryons: Disks
  Versus Substructures

abstract:
  Cold dark matter cosmogony predicts triaxial dark matter halos, whereas
observations find quite round halos. This is most likely due to the
condensation of baryons leading to rounder halos. We examine the halo phase
space distribution basis for such shape changes. Triaxial halos are supported
by box orbits, which pass arbitrarily close to the density center. The decrease
in triaxiality caused by baryons is thought to be due to the scattering of
these orbits. We test this hypothesis with simulations of disks grown inside
triaxial halos. After the disks are grown we check whether the phase space
structure has changed by evaporating the disks and comparing the initial and
final states. While the halos are substantially rounder when the disk is at
full mass, their final shape after the disk is evaporated is not much different
from the initial. Likewise, the halo becomes (more) radially anisotropic when
the disk is grown, but the final anisotropy is consistent with the initial.
Only if the baryons are unreasonably compact or massive does the halo change
irreversibly. We show that the character of individual orbits is not generally
changed by the growing mass. Thus the central condensation of baryons does not
destroy enough box orbits to cause the shape change. Rather, box orbits merely
become rounder along with the global potential. However, if angular momentum is
transferred to the halo, either via satellites or via bars, a large
irreversible change in the halo distribution occurs. The ability of satellites
to alter the phase space distribution of the halo is of particular concern to
galaxy formation simulations since halo triaxiality can profoundly influence
the evolution of disks.


title:
Completely periodic directions and orbit closures of many pseudo-Anosov
  Teichmueller discs in Q(1,1,1,1)

abstract:
  In this paper, we investigate the closure of a large class of Teichm\"uller
discs in the stratum Q(1,1,1,1) or equivalently, in a GL^+_2(R)-invariant locus
L of translation surfaces of genus three. We describe a systematic way to prove
that the GL^+_2(R)-orbit closure of a translation surface in L is the whole of
L. The strategy of the proof is an analysis of completely periodic directions
on such a surface and an iterated application of Ratner's theorem to unipotent
subgroups acting on an ``adequate'' splitting. This analysis applies for
example to all Teichmueller discs stabilized obtained by Thurston's
construction with a trace field of degree three which moreover ``obviously not
Veech''. We produce an infinite series of such examples and show moreover that
the favourable splitting situation does not arise everywhere on L, contrary to
the situation in genus two. We also study completely periodic directions on
translation surfaces in L. For instance, we prove that completely periodic
directions are dense on surfaces obtained by Thurston's construction.


title:
Roche tomography of cataclysmic variables - IV. Starspots and slingshot
  prominences on BV Cen

abstract:
  We present Roche tomograms of the G5-G8 IV/V secondary star in the
long-period cataclysmic variable BV Cen reconstructed from MIKE echelle data
taken on the Magellan Clay 6.5-m telescope. The tomograms show the presence of
a number of large, cool starspots on BV Cen for the first time. In particular,
we find a large high-latitude spot which is deflected from the rotational axis
in the same direction as seen on the K3-K5 IV/V secondary star in the
cataclysmic variable AE Aqr. BV Cen also shows a similar relative paucity of
spots at latitudes between 40-50 degrees when compared with AE Aqr.
Furthermore, we find evidence for an increased spot coverage around longitudes
facing the white dwarf which supports models invoking starspots at the L1 point
to explain the low-states observed in some cataclysmic variables. In total, we
estimate that some 25 per cent of the northern hemisphere of BV Cen is spotted.
  We also find evidence for a faint, narrow, transient emission line with
characteristics reminiscent of the peculiar low-velocity emission features
observed in some outbursting dwarf novae. We interpret this feature as a
slingshot prominence from the secondary star and derive a maximum source size
of 75,000 km and a minimum altitude of 160,000 km above the orbital plane for
the prominence.
  The entropy landscape technique was applied to determine the system
parameters of BV Cen. We find M_1 = 1.18 (+0.28 -0.16) Msolar, M_2 = 1.05
(+0.23 -0.14) Msolar and an orbital inclination of i = 53 degrees +- 4 degrees
at an optimal systemic velocity of \gamma = -22.3 km s-1. Finally, we also
report on the previously unknown binarity of the G5IV star HD 220492.


title: A Multi Interface Grid Discovery System

abstract:
  Discovery Systems (DS) can be considered as entry points for global loosely
coupled distributed systems. An efficient Discovery System in essence increases
the performance, reliability and decision making capability of distributed
systems. With the rapid increase in scale of distributed applications, existing
solutions for discovery systems are fast becoming either obsolete or incapable
of handling such complexity. They are particularly ineffective when handling
service lifetimes and providing up-to-date information, poor at enabling
dynamic service access and they can also impose unwanted restrictions on
interfaces to widely available information repositories. In this paper we
present essential the design characteristics, an implementation and a
performance analysis for a discovery system capable of overcoming these
deficiencies in large, globally distributed environments.


title:
Realization of quantum walks with negligible decoherence in waveguide
  lattices

abstract:
  Quantum random walks are the quantum counterpart of classical random walks,
and were recently studied in the context of quantum computation. A quantum
random walker is subject to self interference, leading to a remarkably
different behavior than that of classical random walks such as ballistic
propagation or localization due to disorder. Physical implementations of
quantum walks have only been made in very small scale systems severely limited
by decoherence. Here we show that the propagation of photons in waveguide
lattices, which have been studied extensively in recent years, are essentially
an implementation of quantum walks. Since waveguide lattices are easily
constructed at large scales and display negligible decoherence, they can serve
as an ideal and versatile experimental playground for the study of quantum
walks and quantum algorithms. We experimentally observe quantum walks in large
systems (~100 sites) and confirm quantum walks effects which were studied
theoretically, including ballistic propagation, disorder and boundary related
effects.


title: Mobile Computing in Physics Analysis - An Indicator for eScience

abstract:
  This paper presents the design and implementation of a Grid-enabled physics
analysis environment for handheld and other resource-limited computing devices
as one example of the use of mobile devices in eScience. Handheld devices offer
great potential because they provide ubiquitous access to data and
round-the-clock connectivity over wireless links. Our solution aims to provide
users of handheld devices the capability to launch heavy computational tasks on
computational and data Grids, monitor the jobs status during execution, and
retrieve results after job completion. Users carry their jobs on their handheld
devices in the form of executables (and associated libraries). Users can
transparently view the status of their jobs and get back their outputs without
having to know where they are being executed. In this way, our system is able
to act as a high-throughput computing environment where devices ranging from
powerful desktop machines to small handhelds can employ the power of the Grid.
The results shown in this paper are readily applicable to the wider eScience
community.


title: DIANA Scheduling Hierarchies for Optimizing Bulk Job Scheduling

abstract:
  The use of meta-schedulers for resource management in large-scale distributed
systems often leads to a hierarchy of schedulers. In this paper, we discuss why
existing meta-scheduling hierarchies are sometimes not sufficient for Grid
systems due to their inability to re-organise jobs already scheduled locally.
Such a job re-organisation is required to adapt to evolving loads which are
common in heavily used Grid infrastructures. We propose a peer-to-peer
scheduling model and evaluate it using case studies and mathematical modelling.
We detail the DIANA (Data Intensive and Network Aware) scheduling algorithm and
its queue management system for coping with the load distribution and for
supporting bulk job scheduling. We demonstrate that such a system is beneficial
for dynamic, distributed and self-organizing resource management and can assist
in optimizing load or job distribution in complex Grid infrastructures.


title: A process algebra based framework for promise theory

abstract:
  We present a process algebra based approach to formalize the interactions of
computing devices such as the representation of policies and the resolution of
conflicts. As an example we specify how promises may be used in coming to an
agreement regarding a simple though practical transportation problem.


title:
Semantic Information Retrieval from Distributed Heterogeneous Data
  Sources

abstract:
  Information retrieval from distributed heterogeneous data sources remains a
challenging issue. As the number of data sources increases more intelligent
retrieval techniques, focusing on information content and semantics, are
required. Currently ontologies are being widely used for managing semantic
knowledge, especially in the field of bioinformatics. In this paper we describe
an ontology assisted system that allows users to query distributed
heterogeneous data sources by hiding details like location, information
structure, access pattern and semantic structure of the data. Our goal is to
provide an integrated view on biomedical information sources for the
Health-e-Child project with the aim to overcome the lack of sufficient
semantic-based reformulation techniques for querying distributed data sources.
In particular, this paper examines the problem of query reformulation across
biomedical data sources, based on merged ontologies and the underlying
heterogeneous descriptions of the respective data sources.


title: The current spin on manganites

abstract:
  In a material, the existence and coexistence of phases with very different
magnetic and electronic properties is both unusual and surprising. Manganites
in particular capture the imagination because they demonstrate a complexity
that belies their chemically single-phase nature. This complexity arises
because the magnetic, electronic and crystal structures interact with one
another to deliver exotic magnetic and electronic phases that coexist. This
coexistence is self-organized and yet readily susceptible to external
perturbations, permitting subtle and imaginative experiments of the type that
we describe here. Moreover, these experiments reveal that each competing phase
itself remains an incompletely solved mystery.


title: Orientifold's Landscape: Non-Factorisable Six-Tori

abstract:
  We construct type IIA orientifolds on T6/(Z2 x Z2) which admit non
factorisable lattices. We describe a method to deal with this kind of
configurations and discuss how the compactification lattice affects the tadpole
cancellation conditions. Moreover, we include D6-branes which are not parallel
to O6-planes. These branes can give rise to chiral spectra in four dimensions,
thus uncovering a new corner in the landscape of intersecting D-brane model
constructions. We demonstrate the construction at an explicit example. In
general we argue that obtaining an odd number of families is problematic.


title: Experiences of Engineering Grid-Based Medical Software

abstract:
  Objectives: Grid-based technologies are emerging as potential solutions for
managing and collaborating distributed resources in the biomedical domain. Few
examples exist, however, of successful implementations of Grid-enabled medical
systems and even fewer have been deployed for evaluation in practice. The
objective of this paper is to evaluate the use in clinical practice of a
Grid-based imaging prototype and to establish directions for engineering future
medical Grid developments and their subsequent deployment. Method: The
MammoGrid project has deployed a prototype system for clinicians using the Grid
as its information infrastructure. To assist in the specification of the system
requirements (and for the first time in healthgrid applications), use-case
modelling has been carried out in close collaboration with clinicians and
radiologists who had no prior experience of this modelling technique. A
critical qualitative and, where possible, quantitative analysis of the
MammoGrid prototype is presented leading to a set of recommendations from the
delivery of the first deployed Grid-based medical imaging application. Results:
We report critically on the application of software engineering techniques in
the specification and implementation of the MammoGrid project and show that
use-case modelling is a suitable vehicle for representing medical requirements
and for communicating effectively with the clinical community. This paper also
discusses the practical advantages and limitations of applying the Grid to
real-life clinical applications and presents the consequent lessons learned.


title:
Kinetics of Electrodeposition of Silver and Copper at Template Synthesis
  of Nanowires

abstract:
  The results of investigation of kinetics of nanopores filling into membranes
from aluminum oxide (pore diameter - 200 nm, porosity ~ 50%) at
electrodeposition of copper and silver are described. It is shown, that at
identical quantity of electricity passed through solutions, the degree of pores
filling by metal (average thickness of a deposit) is various for copper and
silver deposition. Calculated (according Faraday Law) and experimental
dependences of deposition rates of these metals on quantity of electricity
passed at direct and pulse currents are presented. Galvanodynamic i - v
dependences have been obtained at various current scanning rates. The smaller
rate of deposition allows to decrease concentration limitations of electrode
process and to obtain higher average thickness of metal deposits and higher
filling degree. The limiting values of quantity of electricity for direct and
pulse currents were determined. The average thickness of silver and copper
deposits was obtained. A degree of pores filling, the morphology and chemical
microanalysis were studied on cross-section of the membrane, using TESCAN SEM
equipped with an Oxford Instruments INCA Enerqy EDX-system.


title: Nonlinear PDEs and Scale Dependence

abstract:
  The properties of nonlinear PDEs that generate filtered solutions are
explored with particular attention given to the constraints on the residual
term. The analysis is carried out for nonlinear PDEs with an emphasis on
evolution problems recast on space-time-scale. We examine the role of
approximation that allow for the generation of solutions on isolated scale
slices.


title: Fluctuation-Dissipation relations far from Equilibrium

abstract:
  In this Article we review some recent progresses in the field of
non-equilibrium linear response theory. We show how a generalization of the
fluctuation-dissipation theorem can be derived for Markov processes, and
discuss the Cugliandolo-Kurchan \cite{Cugliandolo93} fluctuation dissipation
relation for aging systems and the theorem by Franz {\it et. al.}
\cite{Franz98} relating static and dynamic properties. We than specialize the
subject to phase-ordering systems examining the scaling properties of the
linear response function and how these are determined by the behavior of
topological defects. We discuss how the connection between statics and dynamics
can be violated in these systems at the lower critical dimension or as due to
stochastic instability.


title:
Quantum dynamics in macrosystems with several coupled electronic states:
  hierarchy of effective Hamiltonians

abstract:
  We address the nonadiabatic quantum dynamics of macrosystems with several
coupled electronic states, taking into account the possibility of multi-state
conical intersections. The general situation of an arbitrary number of states
and arbitrary number of nuclear degrees of freedom (modes) is considered. The
macrosystem is decomposed into a system part carrying a few, strongly coupled
modes, and an environment, comprising the vast number of remaining modes. By
successively transforming the modes of the environment, a hierarchy of
effective Hamiltonians for the environment is constructed. Each effective
Hamiltonian depends on a reduced number of effective modes, which carry
cumulative effects. By considering the system's Hamiltonian along with a few
members of the hierarchy, it is shown mathematically by a moment analysis that
the quantum dynamics of the entire macrosystem can be numerically exactly
computed on a given time-scale. The time scale wanted defines the number of
effective Hamiltonians to be included. The contribution of the environment to
the quantum dynamics of the macrosystem translates into a sequential coupling
of effective modes. The wavefunction of the macrosystem is known in the full
space of modes, allowing for the evaluation of observables such as the
time-dependent individual excitation along modes of interest, as well a spectra
and electronic-population dynamics.


title:
Theory of Transport Processes and the Method of the Nonequilibrium
  Statistical Operator

abstract:
  The aim of this review is to provide better understanding of a few approaches
that have been proposed for treating nonequilibrium (time-dependent) processes
in statistical mechanics with the emphasis on the inter-relation between
theories. The ensemble method, as it was formulated by J. W. Gibbs, have the
great generality and the broad applicability to equilibrium statistical
mechanics. Different macroscopic environmental constraints lead to different
types of ensembles, with particular statistical characteristics. In the present
work, the statistical theory of nonequilibrium processes which is based on
nonequilibrium ensemble formalism is discussed. The kinetic approach to dynamic
many-body problems, which is important from the point of view of the
fundamental theory of irreversibility, is alluded to. The emphasis is on the
method of the nonequilibrium statistical operator (NSO) developed by D. N.
Zubarev. The NSO method permits one to generalize the Gibbs ensemble method to
the nonequilibrium case and to construct a nonequilibrium statistical operator
which enables one to obtain the transport equations and calculate the transport
coefficients in terms of correlation functions, and which, in the case of
equilibrium, goes over to the Gibbs distribution. Although some space is
devoted to the formal structure of the NSO method, the emphasis is on its
utility. Applications to specific problems such as the generalized transport
and kinetic equations, and a few examples of the relaxation and dissipative
processes, which manifest the operational ability of the method, are
considered.


title:
The Symmetry of the Genetic Code and a Universal Trend of Amino Acid
  Gain and Loss

abstract:
  Part 1 of the study intends to show that the universal trend of amino acid
gain and loss discovered by Jordan et al. (2005) can be accounted for by the
spontaneity of DNA typical damages. These damages lead to replacements of
guanine and cytosine by thymine. Part 2 proposes a hypothesis of the evolution
of the genetic code, the leading mechanism of which is the nucleotide
spontaneous damage. The hypothesis accounts for the universal trend of amino
acid gain and loss, stability of the genetic code towards point mutations, the
presence of code dialects, and the symmetry of the genetic code table.


title:
A cellular automaton identification of the universality classes of
  spatiotemporal intermittency

abstract:
  The phase diagram of the coupled sine circle map lattice shows
spatio-temporal intermittency of two distinct types: spatio-temporal
intermittency of the directed percolation (DP) class, and spatial intermittency
which does not belong to this class. These two types of behaviour are seen to
be special cases of the spreading and non-spreading regimes seen in the system.
In the spreading regime, each site can infect its neighbours permitting an
initial disturbance to spread, whereas in the non-spreading regime no infection
is possible. The two regimes are separated by a line which we call the
infection line. The coupled map lattice can be mapped on to an equivalent
cellular automaton which shows a transition from a probabilistic cellular
automaton (PCA) to a deterministic cellular automaton (DCA) at the infection
line. Thus the existence of the DP and non-DP universality classes in the same
system is signalled by the PCA to DCA transition. We also discuss the dynamic
origin of this transition.


title: Communicability in complex networks

abstract:
  Many topological and dynamical properties of complex networks are defined by
assuming that most of the transport on the network flows along the shortest
paths. However, there are different scenarios in which non-shortest paths are
used to reach the network destination. Thus the consideration of the shortest
paths only does not account for the global communicability of a complex
network. Here we propose a new measure of the communicability of a complex
network, which is a broad generalization of the concept of the shortest path.
According to the new measure, most of real-world networks display the largest
communicability between the most connected (popular) nodes of the network
(assortative communicability). There are also several networks with the
disassortative communicability, where the most "popular" nodes communicate very
poorly to each other. Using this information we classify a diverse set of
real-world complex systems into a small number of universality classes based on
their structure-dynamic correlation. In addition, the new communicability
measure is able to distinguish finer structures of networks, such as
communities into which a network is divided. A community is unambiguously
defined here as a set of nodes displaying larger communicability among them
than to the rest of nodes in the network.


title: Quasi-quantum groups from strings

abstract:
  Motivated by string theory on the orbifold ${\cal M}/G$ in presence of a
Kalb-Ramond field strength $H$, we define the operators that lift the group
action to the twisted sectors. These operators turn out to generate the
quasi-quantum group $D_{\omega}[G]$, introduced in the context of conformal
field theory by R. Dijkgraaf, V. Pasquier and P. Roche, with $\omega$ a
3-cocycle determined by a series of cohomological equations in a tricomplex
combining de Rham, \u{C}ech and group cohomologies. We further illustrate some
properties of the quasi-quantum group from a string theoretical point of view.


title: Transverse oscillations of two coronal loops

abstract:
  We study transverse fast magnetohydrodynamic waves in a system of two coronal
loops modeled as smoothed, dense plasma cylinders in a uniform magnetic field.
The collective oscillatory properties of the system due to the interaction
between the individual loops are investigated from two points of view. Firstly,
the frequency and spatial structure of the normal modes are studied. The system
supports four trapped normal modes in which the loops move rigidly in the
transverse direction. The direction of the motions is either parallel or
perpendicular to the plane containing the axes of the loops. Two of these modes
correspond to oscillations of the loops in phase, while in the other two they
move in antiphase. Thus, these solutions are the generalization of the kink
mode of a single cylinder to the double cylinder case. Secondly, we analyze the
time-dependent problem of the excitation of the pair of tubes. We find that
depending on the shape and location of the initial disturbance, different
normal modes can be excited. The frequencies of normal modes are accurately
recovered from the numerical simulations. In some cases, because of the
simultaneous excitation of several eigenmodes, the system shows beating and the
phase lag between the loops is $\pi/2$.


title:
Optimal state in the Knill-Laflamme-Milburn scheme of linear optical
  teleportation

abstract:
  We discuss some properties of the Knill-Laflamme-Milburn scheme for quantum
teleportation with both maximally and nonmaximally entangled states. We derive
the error correction scheme when one performs teleportation with nonmaximally
entangled states and we find the probability for perfect teleportation. We show
that the maximally entangled state is optimal in such a case. We also show how
the error correction scheme can be implemented experimentally when one uses
polarization encoding.


title:
Travelling wave solutions of the generalized Benjamin-Bona-Mahony
  equation

abstract:
  A class of particular travelling wave solutions of the generalized
Benjamin-Bona-Mahony equation is studied systematically using the factorization
technique. Then, the general travelling wave solutions of Benjamin-Bona-Mahony
equation, and of its modified version, are also recovered.


title:
Managing Separation of Concerns in Grid Applications Through
  Architectural Model Transformations

abstract:
  Grids enable the aggregation, virtualization and sharing of massive
heterogeneous and geographically dispersed resources, using files, applications
and storage devices, to solve computation and data intensive problems, across
institutions and countries via temporary collaborations called virtual
organizations (VO). Most implementations result in complex superposition of
software layers, often delivering low quality of service and quality of
applications. As a consequence, Grid-based applications design and development
is increasingly complex, and the use of most classical engineering practices is
unsuccessful. Not only is the development of such applications a
time-consuming, error prone and expensive task, but also the resulting
applications are often hard-coded for specific Grid configurations, platforms
and infra-structures. Having neither guidelines nor rules in the design of a
Grid-based application is a paradox since there are many existing architectural
approaches for distributed computing, which could ease and promote rigorous
engineering methods based on the re-use of software components. It is our
belief that ad-hoc and semi-formal engineer-ing approaches, in current use, are
insufficient to tackle tomorrows Grid develop-ments requirements. Because
Grid-based applications address multi-disciplinary and complex domains (health,
military, scientific computation), their engineering requires rigor and
control. This paper therefore advocates a formal model-driven engineering
process and corresponding design framework and tools for building the next
generation of Grids.


title: PhantomOS: A Next Generation Grid Operating System

abstract:
  Grid Computing has made substantial advances in the past decade; these are
primarily due to the adoption of standardized Grid middleware. However Grid
computing has not yet become pervasive because of some barriers that we believe
have been caused by the adoption of middleware centric approaches. These
barriers include: scant support for major types of applications such as
interactive applications; lack of flexible, autonomic and scalable Grid
architectures; lack of plug-and-play Grid computing and, most importantly, no
straightforward way to setup and administer Grids. PhantomOS is a project which
aims to address many of these barriers. Its goal is the creation of a user
friendly pervasive Grid computing platform that facilitates the rapid
deployment and easy maintenance of Grids whilst providing support for major
types of applications on Grids of almost any topology. In this paper we present
the detailed system architecture and an overview of its implementation.


title:
The Requirements for Ontologies in Medical Data Integration: A Case
  Study

abstract:
  Evidence-based medicine is critically dependent on three sources of
information: a medical knowledge base, the patients medical record and
knowledge of available resources, including where appropriate, clinical
protocols. Patient data is often scattered in a variety of databases and may,
in a distributed model, be held across several disparate repositories.
Consequently addressing the needs of an evidence-based medicine community
presents issues of biomedical data integration, clinical interpretation and
knowledge management. This paper outlines how the Health-e-Child project has
approached the challenge of requirements specification for (bio-) medical data
integration, from the level of cellular data, through disease to that of
patient and population. The approach is illuminated through the requirements
elicitation and analysis of Juvenile Idiopathic Arthritis (JIA), one of three
diseases being studied in the EC-funded Health-e-Child project.


title: p-Adic Degeneracy of the Genetic Code

abstract:
  Degeneracy of the genetic code is a biological way to minimize effects of the
undesirable mutation changes. Degeneration has a natural description on the
5-adic space of 64 codons $\mathcal{C}_5 (64) = \{n_0 + n_1 5 + n_2 5^2
  : n_i = 1, 2, 3, 4 \} ,$ where $n_i$ are digits related to nucleotides as
follows: C = 1, A = 2, T = U = 3, G = 4. The smallest 5-adic distance between
codons joins them into 16 quadruplets, which under 2-adic distance decay into
32 doublets. p-Adically close codons are assigned to one of 20 amino acids,
which are building blocks of proteins, or code termination of protein
synthesis. We shown that genetic code multiplets are made of the p-adic nearest
codons.


title: Velocity plateaus and jumps in carbon nanotube sliding

abstract:
  The friction between concentric carbon nanotubes sliding one inside the other
has been widely studied and simulated, but not so far using external force as
the driving variable. Our molecular dynamics (MD) simulations show that as the
pulling force grows, the sliding velocity increases by jumps and plateaus
rather than continuously as expected. Dramatic friction peaks (similar to that
recently noted by Tangney {\it et al.} in Phys. Rev. Lett. 97 (2006) 195901)
which develop around some preferential sliding velocities, are at the origin of
this phenomenon. The (stable) rising edge of the peak produces a velocity
plateau; the (unstable) dropping edge produces a jump to the nearest stable
branch. The outcome is reminiscent of conduction in ionized gases, the plateau
correspon ding to a current stabilization against voltage variations, the jump
corresponding to a discharge or breakdown.


title: Interpretation of Light-Quenching Factor Measurements

abstract:
  We observe that the pattern of the quenching factors for scintillation light
from various ions, recently studied in $CaWO_4$ in connection with dark matter
detectors, can be understood as a saturation phenomenon in which the light
output is simply proportional to track length, independent of the ion and its
energy. This observation is in accord with the high dE/dx limit of Birks' law.
It suggests a simple model for the intrinsic resolution of light detectors for
low energy ions, which we briefly discuss.


title: Continuum Coupling and Single-Nucleon Overlap Integrals

abstract:
  The presence of a particle continuum, both of a resonant and non-resonant
character, can significantly impact spectroscopic properties of weakly bound
nuclei and excited nuclear states close to, and above, the particle emission
threshold. In the framework of the continuum shell model in the complex
momentum-plane, the so-called Gamow Shell Model, we discuss salient effects of
the continuum coupling on the one-neutron overlap integrals and the associated
spectroscopic factors in neutron-rich helium and oxygen nuclei. In particular,
we demonstrate a characteristic near-threshold energy dependence of the
spectroscopic factors for different l-waves. We show also that the realistic
radial overlap functions, which are needed for the description of transfer
reactions, can be generated by single-particle wave functions of the
appropriately chosen complex potential.


title:
Anomalous exchange coupling in transition-metal-oxide based
  superlattices with antiferromagnetic spacer layers

abstract:
  A direct correlation is seen between the coercive field (HC) and the
magnetic-field-dependent resistivity (MR) in SrMnO3/SrRuO3 superlattices of
perpendicular magnetic anisotropy. The magnetoresistance shows a sharp jump at
Hc for in-plane current and the out-of-plane magnetic field. Both HC and
high-field MR also oscillate with the thickness of the SrMnO3 spacer layers
separating the metallic ruthenate. Since the spacer in these superlattices has
no mobile carriers to facilitate an oscillatory coupling, we attribute the
observed behavior to the spin-polarized quantum tunneling of electrons between
the ferromagnetic layers and antiferromagnetically ordered t2g spins of SrMnO3.


title: Double Periodicity and Frequency-Locking in the Langford Equation

abstract:
  The bifurcation structure of the Langford equation is studied numerically in
detail. Periodic, doubly-periodic, and chaotic solutions and the routes to
chaos via coexistence of double periodicity and period-doubling bifurcations
are found by the Poincar\'e plot of successive maxima of the first mode $x_1$.
Frequency-locked periodic solutions corresponding to the Farey sequence $F_n$
are examined up to $n=14$. Period-doubling bifurcations appears on some of the
periodic solutions and the similarity of bifurcation structures between the
sine-circle map and the Langford equation is shown. A method to construct the
Poincar\'e section for triple periodicity is proposed.


title: Conditional displacement operator for traveling fields

abstract:
  We show that the conditional displacement operator $\hat{U}_{CD}=\exp
[\hat{b}^{\dagger}\hat{b}(\beta \hat{a}^{\dagger}-\beta ^{\ast}\hat{a})]$
acting upon an arbitrary state of traveling waves can be well approximated by
the action of a Kerr medium placed between two beam splitters whose respective
second ports are fed by highly excited coherent states. Applications to the
generation of nonclassical states and measurement of Wigner function of
arbitrary states are also considered.


title: Local properties of J-complex curves in Lipschitz-continuous structures

abstract:
  We prove the existence of primitive curves and positivity of intersections of
$J$-complex curves for Lipschitz-continuous almost complex structures. These
results are deduced from the Comparison Theorem for $J$-holomorphic maps in
Lipschitz structures, previously known for $J$ of class $C^{1, Lip}$. We also
give the optimal regularity of curves in Lipschitz structures. It occurs to be
$C^{1,LnLip}$, i.e. the first derivatives of a $J$-complex curve for Lipschitz
$J$ are Log-Lipschitz-continuous. A simple example that nothing better can be
achieved is given. Further we prove the Genus Formula for $J$-complex curves
and determine their principal Puisieux exponents (all this for
Lipschitz-continuous $J$-s).


title: Regulators of rank one quadratic twists

abstract:
  We investigate the regulators of elliptic curves with rank 1 in some families
of quadratic twists of a fixed elliptic curve. In particular, we formulate some
conjectures on the average size of these regulators. We also describe an
efficient algorithm to compute explicitly some of the invariants of an odd
quadratic twist of an elliptic curve (regulator, order of the Tate-Shafarevich
group, etc.) and we discuss the numerical data that we obtain and compare it
with our predictions.


title: Four-fermion production near the W pair production threshold

abstract:
  We perform a dedicated study of the four-fermion production process e- e+ ->
mu- nubar_mu u dbar X near the W pair-production threshold in view of the
importance of this process for a precise measurement of the W boson mass.
Accurate theoretical predictions for this process require a systematic
treatment of finite-width effects. We use unstable-particle effective field
theory (EFT) to perform an expansion in the coupling constants, GammaW/MW, and
the non-relativistic velocity v of the W boson up to next-to-leading order in
GammaW/MW ~ alpha_ew ~ v^2. We find that the dominant theoretical uncertainty
in MW is currently due to an incomplete treatment of initial-state radiation.
The remaining uncertainty of the NLO EFT calculation translates into delta MW ~
10-15 MeV, and to about 5 MeV with additional input from the NLO four-fermion
calculation in the full theory.


title:
Caratheodory-Fejer interpolation and related topics in locally convex
  spaces

abstract:
  We study Caratheodory-Herglotz functions whose values are continuous
operators from a locally convex topological space which admits the
factorization property into its conjugate dual space. We show how this case can
be reduced to the case of functions whose values are bounded operators from a
Hilbert space into itself.


title: Instanton constituents in the O(3) model at finite temperature

abstract:
  It is shown that instantons in the O(3) model at finite temperature consist
of fractional charge constituents and the (topological) properties of the
latter are discussed.


title:
Damping of bulk excitations over an elongated BEC - the role of radial
  modes

abstract:
  We report the measurement of Beliaev damping of bulk excitations in cigar
shaped Bose Einstein condensates of atomic vapor. By using post selection,
excitation line shapes of the total population are compared with those of the
undamped excitations. We find that the damping depends on the initial
excitation energy of the decaying quasi particle, as well as on the excitation
momentum. We model the condensate as an infinite cylinder and calculate the
damping rates of the different radial modes. The derived damping rates are in
good agreement with the experimentally measured ones. The damping rates
strongly depend on the destructive interference between pathways for damping,
due to the quantum many-body nature of both excitation and damping products.


title: An extension of the SHARC survey

abstract:
  We report on our search for distant clusters of galaxies based on optical and
X-ray follow up observations of X-ray candidates from the SHARC survey. Based
on the assumption that the absence of bright optical or radio counterparts to
possibly extended X-ray sources could be distant clusters. We have obtained
deep optical images and redshifts for several of these objects and analyzed
archive XMM-Newton or Chandra data where applicable. In our list of candidate
clusters, two are probably galaxy structures at redshifts of z$\sim$0.51 and
0.28. Seven other structures are possibly galaxy clusters between z$\sim$0.3
and 1. Three sources are identified with QSOs and are thus likely to be X-ray
point sources, and six more also probably fall in this category. One X-ray
source is spurious or variable. For 17 other sources, the data are too sparse
at this time to put forward any hypothesis on their nature. We also
serendipitously detected a cluster at z=0.53 and another galaxy concentration
which is probably a structure with a redshift in the [0.15-0.6] range. We
discuss these results within the context of future space missions to
demonstrate the necessity of a wide field of view telescope optimized for the
0.5-2 keV range.


title: On the applications of Hardy class functions in scattering theory

abstract:
  This paper is a response to an article (R. de la Madrid, Journal of Physics
A: Mathematical and General, 39,9255-9268 (2006)) recently published in Journal
of Physics A: Mathematical and Theoretical. The article claims that the theory
of resonances and decaying states based on certain rigged Hilbert spaces of
Hardy functions is physically untenable. In this paper we show that all of the
key conclusions of the cited article are the result of either the errors in
mathematical reasoning or an inadequate understanding of the literature on the
subject.


title: Note sur les invariants du groupe affine

abstract:
  In the paper, it is proved that any $C^{1}$-function on GL(n) which is
locally $P$-invariant (here $P$ is the affine (sub)group of GL(n)) is locally
$G$-invairant. There is also a statement for distributions (a very weak form of
Baruch's results).


title: Non-commutative Zariski geometries and their classical limit

abstract:
  We undertake a case study of two series of nonclassical Zariski geometries.
We show that these geometries can be realised as representations of certain
noncommutative $C^*$-algebras and introduce a natural limit construction which
for each of the two series produces a classical U(1)-gauge field over a
2-dimensional Riemann surface.


title: Nonperturbative equation of state of quark-gluon plasma. Applications

abstract:
  The vacuum-driven nonperturbative factors $L_i$ for quark and gluon Green's
functions are shown to define the nonperturbative dynamics of QGP in the
leading approximation. EoS obtained recently in the framework of this approach
is compared in detail with known lattice data for $\mu=0$ including $P/T^4$,
$\epsilon/T^4$, $\frac{\epsilon-3P}{T^4}$. The basic role in the dynamics at
$T\la 3T_c$ is played by the factors $L_i$ which are approximately equal to the
modulus of Polyakov line for quark $L_{fund}$ and gluon $L_{adj}$. The
properties of $L_i$ are derived from field correlators and compared to lattice
data, in particular the Casimir scaling property $L_{adj}
=(L_{fund})^{\frac{C_2(adj)}{C_2(fund)}}$ follows in the Gaussian approximation
valid for small vacuum correlation lengths. Resulting curves for $P/T^4$,
$\epsilon/T^4$, $\frac{\epsilon-3P}{T^4}$ are in a reasonable agreement with
lattice data, the remaining difference points out to an effective attraction
among QGP constituents.


title: Notes sur la notion d'invariant caract\'eristique

abstract:
  Let $G$ be a Lie group acting on a vector space $V$. Given a set of
$G$-invariants, one can ask the question : does this set of invariants
characterize the group $G$ ? We recall here some known results, ask questions
and state some conjectures for different choices of invariants : polynomial
functions, orbits, distributions, and different types of groups.


title: Log-canonical threshold for curves on a smooth surface

abstract:
  It is shown that the log-canonical threshold of a curve with an isolated
singularity is computed by the term ideal of the curve in a suitable system of
local parameters at the singularity. The proof uses the Enriques diagram of the
singularity and shows that the log-canonical threshold depends only on a
non-degenerate path of that diagram.


title: Role of a spin-flip scatterer in a magnetized Luttinger liquid

abstract:
  We study the spin-dependent scattering of charge carriers in a magnetized one
dimensional Luttinger liquid from a localized non-homogeneous magnetic field,
which might be brought about by the stray field of magnetic tip near a uniform
liquid, or by a transverse domain wall (DW) between two oppositely magnetized
liquids.
  From a renormalization group treatment of the electron interactions we deduce
scaling equations for the transmission and reflection amplitudes as the
bandwidth is progressively reduced to an energy scale set by the temperature.
The repulsive interactions dictate two possible zero temperature insulator
fixed points: one in which electrons are reflected in the same spin channel and
another where the electron spin is reversed upon reflection. In the latter
case, a finite spin current emerges in the absence of a charge current at zero
temperature and the Friedel oscillations form a transverse spiraling spin
density. Adding a purely potential scattering term has no effect on the fixed
points of a uniformly magnetized liquid. For a DW we find that the introduction
of potential scattering stabilizes the spin-flip insulator phase even if the
single-particle spin-flip scattering produced by the DW is arbitrarily weak.
The potential can be induced externally, e.g. by a local gate voltage or a
constriction, providing a means for controlling the transport properties of the
wire.


title: Garside monoids vs divisibility monoids

abstract:
  Divisibility monoids (resp. Garside monoids) are a natural algebraic
generalization of Mazurkiewicz trace monoids (resp. spherical Artin monoids),
namely monoids in which the distributivity of the underlying lattices (resp.
the existence of common multiples) is kept as an hypothesis, but the relations
between the generators are not supposed to necessarily be commutations (resp.
be of Coxeter type). Here, we show that the quasi-center of these monoids can
be studied and described similarly, and then we exhibit the intersection
between the two classes of monoids.


title:
On the correct formula for the lifetime broadened superconducting
  density of states

abstract:
  We argue that the well known Dynes formula [Dynes R C {\it et al.} 1978 {\it
Phys. Rev. Lett.} {\bf 41} 1509] for the superconducting quasiparticle density
of states, which tries to incorporate the lifetime broadening in an approximate
way, cannot be justified microscopically for conventional superconductors.
Instead, we propose a new simple formula in which the energy gap has a finite
imaginary part $-\Delta_2$ and the quasiparticle energy is real. We prove that
in the quasiparticle approximation 2$\Delta_2$ gives the quasiparticle decay
rate at the gap edge for conventional superconductors. This conclusion does not
depend on the nature of interactions that cause the quasiparticle decay. The
new formula is tested on the case of a strong coupling superconductor
Pb$_{0.9}$Bi$_{0.1}$ and an excellent agreement with theoretical predictions is
obtained. While both the Dynes formula and the one proposed in this work give
good fits and fit parameters for Pb$_{0.9}$Bi$_{0.1}$, only the latter formula
can be justified microscopically.


title:
Symbolic-computation study of integrable properties for the
  (2+1)-dimensional Gardner equation with the two-singular-manifold method

abstract:
  The singular manifold method from the Painleve analysis can be used to
investigate many important integrable properties for the nonlinear partial
differential equations.In this paper, the two-singular-manifold method is
applied to the (2+1)-dimensional Gardner equation with two Painleve expansion
branches to determine the Hirota bilinear form, Backlund transformation, Lax
pairs and Darboux transformation. Based on the obtained Lax pairs, the binary
Darboux transformation is constructed and the N N Grammian solution is also
derived by performing the iterative algorithm Ntimes with symbolic computation.


title:
Evolved stars hint to an external origin of enhanced metallicity in
  planet-hosting stars

abstract:
  Exo-planets are preferentially found around high metallicity main sequence
stars. We aim at investigating whether evolved stars share this property, and
what this tells about planet formation. Statistical tools and the basic
concepts of stellar evolution theory are applied to published results as well
as our own radial velocity and chemical analyses of evolved stars. We show that
the metal distributions of planet-hosting (P-H) dwarfs and giants are
different, and that the latter do not favor metal-rich systems. Rather, these
stars follow the same age-metallicity relation as the giants without planets in
our sample. The straightforward explanation is to attribute the difference
between dwarfs and giants to the much larger masses of giants' convective
envelopes. If the metal excess on the main sequence is due to pollution, the
effects of dilution naturally explains why it is not observed among evolved
stars. Although we cannot exclude other explanations, the lack of any
preference for metal-rich systems among P-H giants could be a strong indication
of the accretion of metal-rich material. We discuss further tests, as well as
some predictions and consequences of this hypothesis.


title: On the mechanism of the flow of polymers

abstract:
  A non-Newtonian flow of a polymer melt is discussed. The description of the
exponential decrease of the apparent viscosity by the well-known Eyring formula
with an activation energy reduction proportional to the shear stress does not
take into account specific features of the polymeric structure. We propose to
modify the description of the macromolecular flow mechanism by including
conformational changes of the polymeric chains. The elasticity of a strained
polymeric chain, having an entropy origin, can be the reason of the reduction
of the activation energy for the transition of a molecular-kinetic unit of the
chain into a new equilibrium state in the flow direction during the thermal
fluctuation. In that case, the activation energy of the transition should
decrease by a value proportional to the reversible high-elastic component of
the shear deformation caused by the flow of the polymer.


title:
Asymmetric Gravitational Lenses in TeVeS and Application to the Bullet
  Cluster

abstract:
  Aims: We explore the lensing properties of asymmetric matter density
distributions in Bekenstein's Tensor-Vector-Scalar theory (TeVeS). Methods:
Using an iterative Fourier-based solver for the resulting non-linear scalar
field equation, we numerically calculate the total gravitational potential and
derive the corresponding TeVeS lensing maps. Results: Considering variations on
rather small scales, we show that the lensing properties significantly depend
on the lens's extent along the line of sight. Furthermore, all simulated TeVeS
convergence maps strongly track the dominant baryonic components, non-linear
effects, being capable of counteracting this trend, turn out to be very small.
Setting up a toy model for the cluster merger 1E0657-558, we infer that TeVeS
cannot explain observations without assuming an additional dark mass component
in both cluster centers, which is in accordance with previous work.


title:
Dynamical Mean Field Study of the Two-Dimensional Disordered Hubbard
  Model

abstract:
  We study the two-dimensional paramagnetic Anderson-Hubbard model using an
extension of dynamical mean-field theory that allows us to treat disorder and
strong electronic correlations on equal footing. We investigate the scaling of
the inverse participation ratio at quarter- and half-filling and find a
nonmonotonic dependence of the localization length on the interaction strength.
We do not find evidence for an insulator-metal transition. The disorder
potential becomes unscreened near the Mott transition. Furthermore, strong
correlations suppress the Altshuler-Aronov density of states anomaly near
half-filling.


title: Theory of RF-spectroscopy of strongly interacting Fermions

abstract:
  We show that strong pairing correlations in Fermi gases lead to the
appearance of a gap-like structure in the RF-spectrum, both in the balanced
superfluid and in the normal phase above the Clogston-Chandrasekhar limit. The
average RF-shift of a unitary gas is proportional to the ratio of the Fermi
velocity and the scattering length with the final state. In the strongly
imbalanced case, the RF-spectrum measures the binding energy of a minority atom
to the Fermi sea of majority atoms. Our results provide a qualitative
understanding of recent experiments by Schunck et.al.


title:
The microcanonical ensemble of the ideal relativistic quantum gas with
  angular momentum conservation

abstract:
  We derive the microcanonical partition function of the ideal relativistic
quantum gas with fixed intrinsic angular momentum as an expansion over fixed
multiplicities. We developed a group theoretical approach by generalizing known
projection techniques to the Poincare' group. Our calculation is carried out in
a quantum field framework and applies to particles with any spin. It extends
known results in literature in that it does not introduce any large volume
approximation and it takes particle spin fully into account. We provide
expressions of the microcanonical partition function at fixed multiplicities in
the limiting classical case of large volumes and large angular momenta and in
the grand-canonical ensemble. We also derive the microcanonical partition
function of the ideal relativistic quantum gas with fixed parity.


title: Field-theoretic methods

abstract:
  Many complex systems are characterized by intriguing spatio-temporal
structures. Their mathematical description relies on the analysis of
appropriate correlation functions. Functional integral techniques provide a
unifying formalism that facilitates the computation of such correlation
functions and moments, and furthermore allows a systematic development of
perturbation expansions and other useful approximative schemes. It is explained
how nonlinear stochastic processes may be mapped onto exponential probability
distributions, whose weights are determined by continuum field theory actions.
Such mappings are madeexplicit for (1) stochastic interacting particle systems
whose kinetics is defined through a microscopic master equation; and (2)
nonlinear Langevin stochastic differential equations which provide a mesoscopic
description wherein a separation of time scales between the relevant degrees of
freedom and background statistical noise is assumed. Several well-studied
examples are introduced to illustrate the general methodology.


title: Stability of a functional equation of Deeba on semigroups

abstract:
  Let $S$ be a semigroup and $X$ a Banach space. The functional equation $\phi
(xyz)+ \phi (x) + \phi (y) + \phi (z) = \phi (xy) + \phi (yz) + \phi (xz)$ is
said to be stable for the pair $(X, S)$ if and only if $f: S\to X$ satisfying
$\| f(xyz)+f(x) + f(y) + f(z) - f(xy)- f(yz)-f(xz)\| \leq \delta $ for some
positive real number $\delta$ and all $x, y, z \in S$, there is a solution
$\phi : S \to X$ such that $f-\phi$ is bounded. In this paper, among others, we
prove the following results: 1) this functional equation, in general, is not
stable on an arbitrary semigroup; 2) this equation is stable on periodic
semigroups; 3) this equation is stable on abelian semigroups; 4) any semigroup
with left (or right) law of reduction can be embedded into a semigroup with
left (or right) law of reduction where this equation is stable.


title:
Performance of Linear Field Reconstruction Techniques with Noise and
  Uncertain Sensor Locations

abstract:
  We consider a wireless sensor network, sampling a bandlimited field,
described by a limited number of harmonics. Sensor nodes are irregularly
deployed over the area of interest or subject to random motion; in addition
sensors measurements are affected by noise. Our goal is to obtain a high
quality reconstruction of the field, with the mean square error (MSE) of the
estimate as performance metric. In particular, we analytically derive the
performance of several reconstruction/estimation techniques based on linear
filtering. For each technique, we obtain the MSE, as well as its asymptotic
expression in the case where the field number of harmonics and the number of
sensors grow to infinity, while their ratio is kept constant. Through numerical
simulations, we show the validity of the asymptotic analysis, even for a small
number of sensors. We provide some novel guidelines for the design of sensor
networks when many parameters, such as field bandwidth, number of sensors,
reconstruction quality, sensor motion characteristics, and noise level of the
measures, have to be traded off.


title:
Higgs boson plus photon production at the LHC: a clean probe of the
  b-quark parton densities

abstract:
  Higgs boson production in association with a high pT photon at the CERN Large
Hadron Collider is analyzed, in the framework of the MSSM model, for the
heavier neutral Higgs bosons. The request of an additional photon in the
exclusive Higgs boson final state selects b-quark pairs among the possible
initial partonic states, since gluon-gluon initial states are not allowed by
C-parity conservation. Hence, the measurement of cross sections for neutral
Higgs boson plus photon production can provide a clean probe of the b-quark
density in the proton as well as of the b-quark Yukawa coupling. The
suppression of the production rates by the b-quark electromagnetic coupling can
be compensated by the enhanced Higgs boson Yukawa coupling to b's in the large
tan(beta) regime. The Higgs boson decay into a tau-lepton pair is considered,
and irreducible backgrounds with corresponding signal significances are
evaluated.


title: Hall effect between parallel quantum wires

abstract:
  We study theoretically the parallel quantum wires of the experiment by
Auslaender et al. [Science 308, 88 (2005)] at low electron density. It is shown
that a Hall effect as observed in two- or three-dimensional electron systems
develops as one of the two wires enters the spin-incoherent regime of small
spin bandwidth. This together with magnetic field dependent tunneling exponents
clearly identifies spin-incoherence in such experiments and it serves to
distinguish it from disorder effects.


title:
A New Family of Unitary Space-Time Codes with a Fast Parallel Sphere
  Decoder Algorithm

abstract:
  In this paper we propose a new design criterion and a new class of unitary
signal constellations for differential space-time modulation for
multiple-antenna systems over Rayleigh flat-fading channels with unknown fading
coefficients. Extensive simulations show that the new codes have significantly
better performance than existing codes. We have compared the performance of our
codes with differential detection schemes using orthogonal design, Cayley
differential codes, fixed-point-free group codes and product of groups and for
the same bit error rate, our codes allow smaller signal to noise ratio by as
much as 10 dB. The design of the new codes is accomplished in a systematic way
through the optimization of a performance index that closely describes the bit
error rate as a function of the signal to noise ratio. The new performance
index is computationally simple and we have derived analytical expressions for
its gradient with respect to constellation parameters. Decoding of the proposed
constellations is reduced to a set of one-dimensional closest point problems
that we solve using parallel sphere decoder algorithms. This decoding strategy
can also improve efficiency of existing codes.