title:
Massive star formation in Wolf-Rayet galaxies: I. Optical and NIR
  photometric results

abstract:
  (Abridged) We have performed a comprehensive multiwavelength analysis of a
sample of 20 starburst galaxies that show the presence of a substantial
population of massive stars. The main aims are the study of the massive star
formation and stellar populations in these galaxies, and the role that
interactions with or between dwarf galaxies and/or low surface companion
objects have in triggering the bursts. We completed new deep optical and \NIR\
broad-band images, as well as the new continuum-subtracted H$\alpha$ maps, of
our sample of Wolf-Rayet galaxies. We analyze the morphology of each system and
its surroundings and quantify the photometric properties of all important
objects. All data were corrected for both extinction and nebular emission using
our spectroscopic data. The age of the most recent star-formation burst is
estimated and compared with the age of the underlying older low-luminosity
population. The \Ha-based star-formation rate, number of O7V equivalent stars,
mass of ionized gas, and mass of the ionizing star cluster are also derived. We
found interaction features in many (15 up to 20) of the analyzed objects, which
were extremely evident in the majority. We checked that the correction for
nebular emission to the broad-band filter fluxes is important in compact
objects and/or with intense nebular emission to obtain realistic colors and
compare with the predictions of evolutionary synthesis models. The estimate of
the age of the most recent star-formation burst is derived consistently. With
respect to the results found in individual objects, we remark the strong \Ha\
emission found in IRAS 08208+2816, UM 420, and SBS 0948+532, the detection of a
double-nucleus in SBS 0926+606A, a possible galactic wind in Tol 9, and one
(two?) nearby dwarf star-forming galaxies surrounding Tol 1457-437.


title:
From discrete to continuous evolution models: a unifying approach to
  drift-diffusion and replicator dynamics

abstract:
  We study the large population limit of the Moran process, assuming
weak-selection, and for different scalings. Depending on the particular choice
of scalings, we obtain a continuous model that may highlight the genetic-drift
(neutral evolution) or natural selection; for one precise scaling, both effects
are present. For the scalings that take the genetic-drift into account, the
continuous model is given by a singular diffusion equation, together with two
conservation laws that are already present at the discrete level. For scalings
that take into account only natural selection, we obtain a hyperbolic singular
equation that embeds the Replicator Dynamics and satisfies only one
conservation law. The derivation is made in two steps: a formal one, where the
candidate limit model is obtained, and a rigorous one, where convergence of the
probability density is proved. Additional results on the fixation probabilities
are also presented.


title: Electronic transport driven spin-dynamics

abstract:
  We propose a model to explore the dynamics of spin-systems coupled by
exchange interaction to the conduction band electrons of a semiconductor
material that forms the channel in a ferromagnet/semiconductor/ferromagnet
spin-valve structure. We show that recent observation of the novel transient
transport signature in a MnAs/GaAs/MnAs spin-valve structure with paramagnetic
Mn impurities [D. Saha et al., Phys. Rev. Lett., 100, 196603 (2008)] can be
quantitatively understood in terms of current driven dynamical polarization of
Mn spins. Using our model of spin polarized transport through Schottky barriers
at the two ferromagnet/semiconductor junctions in a spin-valve structure and a
dynamical equation describing the paramagnetic impurities coupled to conduction
band electrons we explain the scaling behaviour of observed transient features
such as the magnitude and time-scale with temperature.


title: Diffuse cluster-like radio emission in poor environments

abstract:
  We present a study of the spectral, polarimetric, morphological and
environmental properties of the diffuse radio source 0809+39 using observations
taken with the Westerbork Synthesis Radio Telescope, the Very Large Array, and
archival optical and X-ray data. The source has two distinct diffuse,
steep-spectrum components, one in the north that is highly polarized, and a
linear southern component undetected in polarization. We discuss several
plausible origins for each component, and conclude that the northern bright
polarized component is most likely a radio relic associated with a poor
z$\sim$0.2 cluster of galaxies, with a radio/X-ray luminosity ratio two orders
of magnitude above typical values. The southern component is aligned with a
more extended filament of galaxies $\sim$5 Mpc long at z$\sim$0.04. Deep
optical and X-ray follow-ups are still needed in order to confirm and
understand the physical origins of the synchrotron emission. Whatever the
details of these origins, 0809+39 highlights the utility of synchrotron
radiation for illuminating the diffuse components of low density environments
unrelated to rich clusters.


title: Subhaloes in Scale-Free Cosmologies

abstract:
  We explore the dependence of the subhalo mass function on the spectral index
n of the linear matter power spectrum using scale-free Einstein-de Sitter
simulations with n=-1 and n=-2.5. We carefully consider finite volume effects
that may call into question previous simulations of n<-2 power spectra.
Subhaloes are found using a 6D friends-of-friends algorithm in all haloes
originating from high-sigma peaks. For n=-1, we find that the cumulative
subhalo mass function is independent of the parameters used in the subhalo
finding algorithm and is consistent with the subhalo mass function found in
LCDM simulations. In particular, the subhalo mass function is well fit by a
power-law with an index of alpha=-0.9, that is the mass function has roughly
equal mass in subhaloes per logarithmic interval in subhalo mass. Conversely,
for n=-2.5, the algorithm parameters affect the subhalo mass function since
subhaloes are more triaxial with less well defined boundaries. We find that the
index alpha is generally larger with alpha>=-0.75. We infer that although the
subhalo mass function appears to be independent of n so long as n>=-2, it
begins to flatten as n->-3. Thus, the common practice of using alpha=-1.0 may
greatly overestimate the number of subhaloes at the smallest scales in the CDM
hierarchy.


title:
Star Formation in Disk Galaxies. I. Formation and Evolution of Giant
  Molecular Clouds via Gravitational Instability and Cloud Collisions

abstract:
  We investigate the formation and evolution of giant molecular clouds (GMCs)
in a Milky-Way-like disk galaxy with a flat rotation curve. We perform a series
of 3D adaptive mesh refinement (AMR) numerical simulations that follow both the
global evolution on scales of ~20kpc and resolve down to scales ~<10pc with a
multiphase atomic interstellar medium (ISM). In this first study, we omit star
formation and feedback, and focus on the processes of gravitational instability
and cloud collisions and interactions. We define clouds as regions with
n_H>=100cm^-3 and track the evolution of individual clouds as they orbit
through the galaxy from their birth to their eventual destruction via merger or
via destructive collision with another cloud. After ~140Myr a large fraction of
the gas in the disk has fragmented into clouds with masses ~10^6 Msun and a
mass spectrum similar to that of Galactic GMCs. The disk settles into a quasi
steady state in which gravitational scattering of clouds keeps the disk near
the threshold of global gravitational instability. The cloud collision time is
found to be a small fraction, ~1/5, of the orbital time, and this is an
efficient mechanism to inject turbulence into the clouds. This helps to keep
clouds only moderately gravitationally bound, with virial parameters of order
unity. Many other observed GMC properties, such as mass surface density,
angular momentum, velocity dispersion, and vertical distribution, can be
accounted for in this simple model with no stellar feedback.


title:
Biased tug-of-war, the biased infinity Laplacian, and comparison with
  exponential cones

abstract:
  We prove that if U\subset\R^n is an open domain whose closure \overline{U} is
compact in the path metric, and F is a Lipschitz function on \partial{U}, then
for each \beta\in\R there exists a unique viscosity solution to the
\beta-biased infinity Laplacian equation \beta |\nabla u| + \Delta_\infty u=0
on U that extends F, where \Delta_\infty u= |\nabla u|^{-2} \sum_{i,j}
u_{x_i}u_{x_ix_j} u_{x_j}.
  In the proof, we extend the tug-of-war ideas of Peres, Schramm, Sheffield and
Wilson, and define the \beta-biased \eps-game as follows. The starting position
is x_0 \in U. At the k^\text{th} step the two players toss a suitably biased
coin (in our key example, player I wins with odds of \exp(\beta\eps) to 1), and
the winner chooses x_k with d(x_k,x_{k-1}) < \eps. The game ends when x_k \in
\partial{U}, and player II pays the amount F(x_k) to player I. We prove that
the value u^{\eps}(x_0) of this game exists, and that \|u^\eps - u\|_\infty \to
0 as \eps \to 0, where u is the unique extension of F to \overline{U} that
satisfies comparison with \beta-exponential cones. Comparison with exponential
cones is a notion that we introduce here, and generalizing a theorem of
Crandall, Evans and Gariepy regarding comparison with linear cones, we show
that a continuous function satisfies comparison with \beta-exponential cones if
and only if it is a viscosity solution to the \beta-biased infinity Laplacian
equation.


title:
Convex PBW-type Lyndon Basis and Restricted Two-parameter Quantum Group
  of Type G_2

abstract:
  We construct finite-dimensional pointed Hopf algebras \mathfrak u_{r,s}(G_2)
(i.e. restricted 2-parameter quantum groups) from the 2-parameter quantum group
U_{r,s}(G_2) defined in \cite{HS}, which turn out to be of Drinfel'd doubles,
where a crucial point is to give a detailed combinatorial construction of the
convex PBW-type Lyndon basis for type G_2 in 2-parameter quantum version. After
furnishing possible commutation relations among quantum root vectors, we show
that the restricted quantum groups are ribbon Hopf algebras under certain
conditions through determining their left and right integrals. Besides these,
we determine all of the Hopf algebra isomorphisms of u_{r,s}(G_2) in terms of
the description of the sets of its left (right) skew-primitive elements.


title: Novel Blind Signal Classification Method Based on Data Compression

abstract:
  This paper proposes a novel algorithm for signal classification problems. We
consider a non-stationary random signal, where samples can be classified into
several different classes, and samples in each class are identically
independently distributed with an unknown probability distribution. The problem
to be solved is to estimate the probability distributions of the classes and
the correct membership of the samples to the classes. We propose a signal
classification method based on the data compression principle that the accurate
estimation in the classification problems induces the optimal signal models for
data compression. The method formulates the classification problem as an
optimization problem, where a so called {"classification gain"} is maximized.
In order to circumvent the difficulties in integer optimization, we propose a
continuous relaxation based algorithm. It is proven in this paper that
asymptotically vanishing optimality loss is incurred by the continuous
relaxation. We show by simulation results that the proposed algorithm is
effective, robust and has low computational complexity. The proposed algorithm
can be applied to solve various multimedia signal segmentation, analysis, and
pattern recognition problems.


title: Pulsar searches and timing with the SKA

abstract:
  The Square Kilometre Array (SKA) is a planned multi purpose radio telescope
with a collecting area approaching 1 million square metres. One of the key
science objectives of the SKA is to provide exquisite strong-field tests of
gravitational physics by finding and timing pulsars in extreme binary systems
such as a pulsar-black hole binary. To find out how three preliminary SKA
configurations will affect a pulsar survey, we have simulated SKA pulsar
surveys for each configuration. We estimate that the total number of normal
pulsars the SKA will detect, using only the 1-km core and 30 minutes
integration time, is around 14000 normal pulsar and 6000 millisecond pulsars.
We describe a simple strategy for follow-up timing observations and find that,
depending on the configuration, it would take 1-6 days to obtain a single
timing point for 14000 pulsars. Obtaining a single timing point for the
high-precision timing projects of the SKA, will take less than 14 hours, 2
days, or 3 days, depending on the configuration. The presence of aperture
arrays will be of great benefit here. We also study the computational
requirements for beam forming and data analysis for a pulsar survey. Beam
forming of the full field of view of the single-pixel feed 15-m dishes using
the 1-km core of the SKA requires about 2.2*10^15 operations per second. The
corresponding data rate from such a pulsar survey is about 4.7*10^11 bytes per
second. The required computational power for a deep real time analysis is
estimated to be 1.2*10^16 operations per second. For an aperture array or
dishes equipped with phased array feeds, the survey can be performed faster,
but the computational requirements and data rates will go up.


title:
Influence of Generalized and Extended Uncertainty Principle on
  Thermodynamics of FRW universe

abstract:
  The influence of the generalized uncertainty principle (GUP) and extended
uncertainty principle (EUP) on the thermodynamics of the
Friedmann-Robertson-Walker (FRW) universe has been investigated. It is shown
that the entropy of the apparent horizon of the FRW universe gets a correction
if one considers the effect of the GUP or EUP. Moreover, starting with the
modified entropy and applying the first law of thermodynamics, $dE=TdS$, to the
apparent horizon of the FRW universe, we obtain the modified Friedmann
equations. The influence of the GUP or EUP on the thermodynamics of the FRW
universe provides a deep insight into the understanding of the quantum gravity
or large length scale corrections to the dynamics of the FRW universe.


title: New approach to the Parton Distribution Functions: Self-Organizing Maps

abstract:
  We propose a Parton Distribution Function (PDF) fitting technique which is
based on an interactive neural network algorithm using Self-Organizing Maps
(SOMs). SOMs are visualization algorithms based on competitive learning among
spatially-ordered neurons. Our SOMs are trained with stochastically generated
PDF samples. On every optimization iteration the PDFs are clustered on the SOM
according to a user-defined feature and the most promising candidates are
selected as a seed for the subsequent iteration. Our main goal is thus to
provide a fitting procedure that, at variance with the global analyses and
standard neural network approaches, allows for an increased control of the
systematic bias by enabling user interaction in the various stages of the
fitting process.


title:
Electronic polarons and bipolarons in Fe-based superconductors: a
  pairing mechanism

abstract:
  Superconductivity is a fascinating example of how "more is different". It is
due to electrons binding into bosonic Cooper pairs, which exhibit coherent
behavior across a macroscopic sample. Finding the mechanism responsible for
this binding is one of the more difficult tasks of condensed matter physics.
For conventional superconductors the solution was given by the BCS theory as
being due to exchange of phonons. For the cuprate high-Tc superconductors a
widely-accepted explanation is still missing despite intense effort. The
recently discovered Fe-based high-Tc superconductors pose now a new challenge.
We present here a quantum mechanical theory for pnictides describing the
influence of the large electronic polarizability of the heavy anions. We
demonstrate that its inclusion results in electronic polarons as the low-energy
quasi-particles and also unveils a pairing mechanism for these electronic
polarons.


title:
Vertex representations for twisted affine Lie algebra of type
  A_{2l}^{(2)}

abstract:
  In this paper, we construct an irreducible vertex module for twisted affine
Lie algebra of type A_{2l}^{(2)}.


title: Polarizabilities of the Mg$^+$ and Si$^{3+}$ ions

abstract:
  A polarization analysis of the fine-structure intervals for the $n = 17$
Rydberg states of Mg and the $n = 29$ states of Si$^{2+}$ is performed. The
coefficients of all terms in the polarization expansion up to $r^{-8}$ were
computed using a semi-empirical single electron analysis combined with the
relativistic all-order single-double method (MBPT-SD) which includes all
single-double excitations from the Dirac-Fock wave functions to all orders of
perturbation theory. The revised analysis yields dipole polarizabilities of
$\alpha_1 = 35.04(3)$ a.u. for Mg$^+$ and $\alpha_1 = 7.433(25)$ a.u. for
Si$^{3+}$, values only marginally larger than those obtained in a previous
analysis (E. L. Snow and S. R. Lundeen (2007) Phys. Rev. A {\bf 75} 062512,
{\em ibid} (2008) {\bf 77} 052501). The polarizabilities are used to make
estimates of the multiplet strength for the resonant transition for both ions.
The revised analysis did see significant changes in the slopes of the
polarization plots. The dipole polarizabilities from the MBPT-SD calculation,
namely 35.05(12) a.u. and 7.419(16) a.u., are within 0.3% of the revised
experimental values.


title: Evolution of the Spiral Waves in Excitable System

abstract:
  Spiral wave, whose rotation center can be regarded as a point defect, widely
exists in various two dimensional excitable systems. In this paper, by making
use of \emph{Duan's topological current theory}, we obtain the charge density
of spiral waves and the topological inner structure of its topological charge.
The evolution of spiral wave is also studied from the topological properties of
a two-dimensional vector field. The spiral waves are found generating or
annihilating at the limit points and encountering, splitting, or merging at the
bifurcation points of the two-dimensional vector field. Some applications of
our theory are also discussed.


title:
Chiral formulation for hyperkaehler sigma-models on cotangent bundles of
  symmetric spaces

abstract:
  Starting with the projective-superspace off-shell formulation for
four-dimensional N = 2 supersymmetric sigma-models on cotangent bundles of
arbitrary Hermitian symmetric spaces, their on-shell description in terms of N
= 1 chiral superfields is developed. In particular, we derive a universal
representation for the hyperkaehler potential in terms of the curvature of the
symmetric base space. Within the tangent-bundle formulation for such
sigma-models, completed recently in arXiv:0709.2633 and realized in terms of N
= 1 chiral and complex linear superfields, we give a new universal formula for
the superspace Lagrangian. A closed form expression is also derived for the
Kaehler potential of an arbitrary Hermitian symmetric space in Kaehler normal
coordinates.


title: Integrals of Irreducible Representations of Classical Groups

abstract:
  This paper is concerned with integrals which integrands are the monomials of
matrix elements of irreducible representations of classical groups. Based on
analysis on Young tableaux, we discuss some related duality theorems and
compute the asymptotics of the group integrals when the signatures of the
irreducible representations are fixed, as the rank of the classical groups go
to infinity. These group integrals have physical origins in quantum mechanics,
quantum information theory, and lattice Gauge theory.


title: Scale-invariant groups

abstract:
  Motivated by the renormalization method in statistical physics, Itai
Benjamini defined a finitely generated infinite group G to be scale-invariant
if there is a nested sequence of finite index subgroups G_n that are all
isomorphic to G and whose intersection is a finite group. He conjectured that
every scale-invariant group has polynomial growth, hence is virtually
nilpotent. We disprove his conjecture by showing that the following groups
(mostly finite-state self-similar groups) are scale-invariant: the lamplighter
groups F\wr\Z, where F is any finite Abelian group; the solvable
Baumslag-Solitar groups BS(1,m); the affine groups A\ltimes\Z^d, for any A\leq
GL(\Z,d). However, the conjecture remains open with some natural stronger
notions of scale-invariance for groups and transitive graphs. We construct
scale-invariant tilings of certain Cayley graphs of the discrete Heisenberg
group, whose existence is not immediate just from the scale-invariance of the
group. We also note that torsion-free non-elementary hyperbolic groups are not
scale-invariant.


title: Van der Waals interaction between two crossed carbon nanotubes

abstract:
  The analytical expressions for the van der Waals potential energy and force
between two crossed carbon nanotubes are presented. The Lennard-Jones potential
for two carbon atoms and the method of the smeared out approximation suggested
by L.A. Girifalco were used. The exact formula is expressed in terms of
rational and elliptical functions. The potential and force for carbon nanotubes
were calculated. The uniform potential curves for single- and multi- wall
nanotubes were plotted. The equilibrium distance, maximal attractive force, and
potential energy have been estimated.


title: Relativisticlike structure of classical thermodynamics

abstract:
  We analyze in the context of geometrothermodynamics a Legendre invariant
metric structure in the equilibrium space of an ideal gas. We introduce the
concept of thermodynamic geodesic as a succession of points, each corresponding
to a state of equilibrium, so that the resulting curve represents a
quasi-static process. A rigorous geometric structure is derived in which the
thermodynamic geodesics at a given point split the equilibrium space into two
disconnected regions separated by adiabatic geodesics. This resembles the
causal structure of special relativity, which we use to introduce the concept
of adiabatic cone for thermodynamic systems. This result might be interpreted
as an alternative indication of the inter-relationship between relativistic
physics and classical thermodynamics.


title:
On the relaxation dynamics of glass-forming systems: Insights from
  computer simulations

abstract:
  We discuss the relaxation dynamics of a simple lattice gas model for
glass-forming systems and show that with increasing density of particles this
dynamics slows down very quickly. By monitoring the trajectory of tagged
particles we find that their motion is very heterogeneous in space and time,
leading to regions in space in which there is a fast dynamics and others in
which it is slow. We determine how the geometric properties of these quickly
relaxing regions depend on density and time. Motivated by this heterogeneous
hopping dynamics, we use a simple model, a variant of a continuous time random
walk, to characterize the relaxation dynamics. In particular we find from this
model that for large displacements the self part of the van Hove function shows
an exponential tail, in agreement with recent findings from experiments and
simulations of glass-forming systems.


title:
Partonic State and Single Transverse Spin Asymmetries in Semi Inclusive
  DIS

abstract:
  Using partonic states we verify the transverse momentum dependent
factorization for single transverse spin asymmetries in semi inclusive DIS at
leading but nontrivial order of alpha_s. The factorization has been previously
derived in a formal way by using diagram expansion at hadron level. We find
with our partonic results that two relevant structure functions satisfy the
factorization. Our results also satisfy the collinear factorization but with
the perturbative coefficient different than that derived formally.


title: Cube diagrams and 3-dimensional Reidemeister-like moves for knots

abstract:
  In this paper we introduce a representation of knots and links called a cube
diagram. We show that a property of a cube diagram is a link invariant if and
only if the property is invariant under two types of cube diagram operations. A
knot homology is constructed from cube diagrams and shown to be equivalent to
knot Floer homology.


title: On Volumes of Arithmetic Line Bundles

abstract:
  We show an arithmetic generalization of the recent work of Lazarsfeld-Mustata
which uses Okounkov bodies to study linear series of line bundles. As
applications, we derive a log-concavity inequality on volumes of arithmetic
line bundles and an arithmetic Fujita approximation theorem for big line
bundles.


title:
Periodic Solutions with Singularities in Two Dimensions in the $n$-body
  Problem

abstract:
  Analytical methods are used to prove the existence of a periodic, symmetric
solution with singularities in the planar 4-body problem. A numerical
calculation and simulation are used to generate the orbit. The analytical
method easily extends to any even number of bodies. Multiple simultaneous
binary collisions are a key feature of the orbits generated.


title:
Uniqueness of Transonic Shock Solutions in a Duct for Steady Potential
  Flow

abstract:
  We study the uniqueness of solutions with a transonic shock in a duct in a
class of transonic shock solutions, which are not necessarily small
perturbations of the background solution, for steady potential flow. We prove
that, for given uniform supersonic upstream flow in a straight duct, there
exists a unique uniform pressure at the exit of the duct such that a transonic
shock solution exists in the duct, which is unique modulo translation. For any
other given uniform pressure at the exit, there exists no transonic shock
solution in the duct. This is equivalent to establishing a uniqueness theorem
for a free boundary problem of a partial differential equation of second order
in a bounded or unbounded duct. The proof is based on the maximum/comparison
principle and a judicious choice of special transonic shock solutions as a
comparison solution.


title:
Diffusion-Limited Exciton-Exciton Annihilation in Carbon Nanotubes:
  Theoretical Model and its Comparison with Nonlinear Photoluminescence
  Experiment

abstract:
  This paper has been withdrawn by the author due to a necessity of further
editing. (Will be resubmitted here or elsewhere in editted form.)


title:
The full contribution of a stochastic background of magnetic fields to
  CMB anisotropies

abstract:
  We study the contribution of a stochastic background (SB) of primordial
magnetic fields (PMF) on the anisotropies in temperature and polarization of
the cosmic microwave background radiation (CMB). A SB of PMF modelled as a
fully inhomogeneous component induces non-gaussian scalar, vector and tensor
metric linear perturbations. We give the exact expressions for the Fourier
spectra of the relevant energy-momentum components of such SB, given a
power-law dependence parametrized by a spectral index $n_B$ for the magnetic
field power spectrum cut at a damping scale $k_D$. For all the values of $n_B$
considered here, the contribution to the CMB temperature pattern by such a SB
is dominated by the scalar contribution and then by the vector one at higher
multipoles. We also give an analytic estimate of the scalar contribution to the
CMB temperature pattern.


title: On the equivalence of the freely cooling granular gas to the sticky gas

abstract:
  A freely cooling granular gas with velocity dependent restitution coefficient
is studied in one dimension. The restitution coefficient becomes near elastic
when the relative velocity of the colliding particles is less than a velocity
scale $\delta$. Different statistical quantities namely density distribution,
occupied and empty cluster length distributions, and spatial density and
velocity correlation functions, are obtained using event driven molecular
dynamic simulations. We compare these with the corresponding quantities of the
sticky gas (inelastic gas with zero coefficient of restitution). We find that
in the inhomogeneous cooling regime, for times smaller than a crossover time
$t_1$ where $t_1 \sim \delta^{-1}$, the behaviour of the granular gas is
equivalent to that of the sticky gas. When $\delta \rt 0$, then $t_1 \rt
\infty$ and hence, the results support an earlier claim that the freely cooling
inelastic gas is described by the inviscid Burgers equation. For a real
granular gas with finite $\delta$, the existence of the time scale $t_1$ shows
that, for large times, the granular gas is not described by the inviscid
Burgers equation.


title: Hyperbolic Hamiltonian equations for general relativity

abstract:
  The 3+1 Hamiltonian formulation in the gauge $D_tN=-K$ on the lapse function
fixes the direction of time associated with the trace $K$ of the extrinsic
curvature tensor. The Hamiltonian equations hereby become hyperbolic. We study
this new system for black hole spacetimes that are asymptotically quiescent,
which introduces analyticity properties that can be exploited for numerical
calculations by compactification in spherical coordinates with complex radius
following a M\"obius transformation. Conformal flat initial data of two black
holes are hereby invariant, and correspond to a turn point in a pendulum, up
for a pair of separated black holes and down for a single black hole. Here,
Newton's law appears in the relaxation of $l=2$ deformations of semi-infinite
poloidal surface elements, defined by the moment of inertia of the binary.


title:
Beyond the relativistic mean-field approximation (III): collective
  Hamiltonian in five dimensions

abstract:
  The framework of relativistic energy density functionals is extended to
include correlations related to restoration of broken symmetries and
fluctuations of collective variables. A new implementation is developed for the
solution of the eigenvalue problem of a five-dimensional collective Hamiltonian
for quadrupole vibrational and rotational degrees of freedom, with parameters
determined by constrained self-consistent relativistic mean-field calculations
for triaxial shapes. The model is tested in a series of illustrative
calculations of potential energy surfaces and the resulting collective
excitation spectra and transition probabilities of the chain of even-even
gadolinium isotopes.


title: X-Ray Flares of Gamma-Ray Bursts: Quakes of Solid Quark Stars?

abstract:
  We propose a star-quake model to understand X-ray flares of both long and
short Gamma-ray bursts (GRBs) in a solid quark star regime. Two kinds of
central engines for GRBs are available if pulsar-like stars are actually
(solid) quark stars, i.e., the SNE-type GRBs and the SGR-type GRBs. It is found
that a quark star could be solidified about 10^3 to 10^6 s later after its
birth if the critical temperature of phase transition is a few MeV, and then a
new source of free energy (i.e., elastic and gravitational ones, rather than
rotational or magnetic energy) could be possible to power GRB X-ray flares.


title: The homotopy of the K(2)-local Moore spectrum at the prime 3 revisited

abstract:
  In this paper we use the approach introduced in an earlier paper by Goerss,
Henn, Mahowald and Rezk in order to analyze the homotopy groups of
L_{K(2)}V(0), the mod-3 Moore spectrum V(0) localized with respect to Morava
K-theory K(2). These homotopy groups have already been calculated by Shimomura.
The results are very complicated so that an independent verification via an
alternative approach is of interest. In fact, we end up with a result which is
more precise and also differs in some of its details from that of Shimomura. An
additional bonus of our approach is that it breaks up the result into smaller
and more digestible chunks which are related to the K(2)-localization of the
spectrum TMF of topological modular forms and related spectra. Even more, the
Adams-Novikov differentials for L_{K(2)}V(0) can be read off from those for
TMF.


title: On the mod - p cohomology of Out(F_{2(p-1)}

abstract:
  We study the mod-p cohomology of the group Out(F_n) of outer automorphisms of
the free group F_n in the case n=2(p-1) which is the smallest n for which the
p-rank of this group is 2. For p=3 we give a complete computation, at least
above the virtual cohomological dimension of Out(F_4) (which is 5). More
precisley, we calculate the equivariant cohomology of the p-singular part of
outer space for p=3. For a general prime p>3 we give a recursive description in
terms of the mod-p cohomology of Aut(F_k) for k less or equal to p-1. In this
case we use the Out(F_{2(p-1)})-equivariant cohomology of the poset of
elementary abelian p-subgroups of Out(F_n).


title:
Testing bibliometric indicators by their prediction of scientists
  promotions

abstract:
  We have developed a method to obtain robust quantitative bibliometric
indicators for several thousand scientists. This allows us to study the
dependence of bibliometric indicators (such as number of publications, number
of citations, Hirsch index...) on the age, position, etc. of CNRS scientists.
Our data suggests that the normalized h index (h divided by the career length)
is not constant for scientists with the same productivity but differents ages.
We also compare the predictions of several bibliometric indicators on the
promotions of about 600 CNRS researchers. Contrary to previous publications,
our study encompasses most disciplines, and shows that no single indicator is
the best predictor for all disciplines. Overall, however, the Hirsch index h
provides the least bad correlations, followed by the number of papers
published. It is important to realize however that even h is able to recover
only half of the actual promotions. The number of citations or the mean number
of citations per paper are definitely not good predictors of promotion.


title: Dynamical structure factor of a nonlinear Klein-Gordon lattice

abstract:
  The quantum modes of a nonlinear Klein-Gordon lattice have been computed
numerically [L. Proville, Phys. Rev. B 71, 104306 (2005)]. The on-site
nonlinearity has been found to lead to phonon bound states. In the present
paper, we compute numerically the dynamical structure factor so as to simulate
the coherent scattering cross section at low temperature. The inelastic
contribution is studied as a function of the on-site anharmonicity.
Interestingly, our numerical method is not limited to the weak anharmonicity
and permits one to study thoroughly the spectra of nonlinear phonons.


title: Depinning transition for a screw dislocation in a model solid solution

abstract:
  On the basis of the classical dislocation theory, the Solid Solution
Hardening (SSH) is commonly ascribed to the pinning of the edge dislocations.
At the atomic level, the theoretical study of the dislocation cores contrasts
with such a prediction. Using the static molecular simulations with some
interatomic effective potentials, we demonstrate numerically that the critical
resolved shear stress associated to a screw dislocation in a random Ni(Al)
single crystal has same order as the edge one. Such a result is imposed by the
details of the dislocation stacking fault and the core dissociation into
Shockley partials. The SSH statistical theory is employed to tentatively
predict analytically the data acquired through our atomistic simulations at
different Al concentration.


title:
Competitive or Weak Cooperative Stochastic Lotka-Volterra Systems
  Conditioned to Non-Extinction

abstract:
  We are interested in the long time behavior of a two-type density-dependent
biological population conditioned to non-extinction, in both cases of
competition or weak cooperation between the two species. This population is
described by a stochastic Lotka-Volterra system, obtained as limit of
renormalized interacting birth and death processes. The weak cooperation
assumption allows the system not to blow up. We study the existence and
uniqueness of a quasi-stationary distribution, that is convergence to
equilibrium conditioned to non extinction. To this aim we generalize in
two-dimensions spectral tools developed for one-dimensional generalized Feller
diffusion processes. The existence proof of a quasi-stationary distribution is
reduced to the one for a $d$-dimensional Kolmogorov diffusion process under a
symmetry assumption. The symmetry we need is satisfied under a local balance
condition relying the ecological rates. A novelty is the outlined relation
between the uniqueness of the quasi-stationary distribution and the
ultracontractivity of the killed semi-group. By a comparison between the
killing rates for the populations of each type and the one of the global
population, we show that the quasi-stationary distribution can be either
supported by individuals of one (the strongest one) type or supported by
individuals of the two types. We thus highlight two different long time
behaviors depending on the parameters of the model: either the model exhibits
an intermediary time scale for which only one type (the dominant trait) is
surviving, or there is a positive probability to have coexistence of the two
species.


title:
Joint Transmitter-Receiver Design for the Downlink Multiuser Spatial
  Multiplexing MIMO System

abstract:
  This paper proposes a joint transmitter-receiver design to minimize the
weighted sum power under the post-processing signal-to-interference-and-noise
ratio (post-SINR) constraints for all subchannels. Simulation results
demonstrate that the algorithm can not only satisfy the post-SINR constraints
but also easily adjust the power distribution among the users by changing the
weights accordingly. Hence the algorithm can be used to alleviates the adjacent
cell interference by reducing the transmitting power to the edge users without
performance penalty.


title: Imprints of microcausality violation on the cosmic microwave background

abstract:
  We consider a modification of the Heisenberg algebra with the non-vanishing
commutator of scalar field operators. We then identify the scalar field with
the second quantized inflaton fluctuation and calculate effects of
microcausality violation on the temperature anisotropy of cosmic microwave
background radiation.


title:
Exotic Multi-quark States in the Deconfined Phase from Gravity Dual
  Models

abstract:
  In the deconfined phase of quark-gluon plasma, it seems that most of the
quarks, antiquarks and gluons should be effectively free in the absence of the
linear confining potential. However, the remaining Coulomb-type potential
between quarks in the plasma could still be sufficiently strong that certain
bound states, notably of heavy quarks such as $J/\psi$ are stable even in the
deconfined plasma up to a certain temperature. Baryons can also exist in the
deconfined phase provided that the density is sufficiently large.
  We study three kinds of exotic multi-quark bound states in the deconfined
phase of quark-gluon plasma from gravity dual models in addition to the normal
baryon. They are $k$-baryon, $(N+\bar{k})$-baryon and a bound state of $j$
mesons which we call "$j$-mesonance". Binding energies and screening lengths of
these exotic states are studied and are found to have similar properties to
those of mesons and baryons at the leading order. Phase diagram for the exotic
nuclear phases is subsequently studied in the Sakai-Sugimoto model. Even though
the exotics are less stable than normal baryons, in the region of high chemical
potential and low temperature, they are more stable thermodynamically than the
vacuum and chiral-symmetric quark-gluon plasma phases ($\chi$S-QGP).


title:
Mass and Mean Velocity Dispersion Relations for Supermassive Black Holes
  in Galactic Bulges

abstract:
  Growing evidence indicate supermassive black holes (SMBHs) in the mass range
of $M_{\rm BH}$$\sim 10^6-10^{10}M_{\odot}$ lurking in central bulges of many
galaxies. Extensive observations reveal fairly tight power laws of $M_{\rm BH}$
versus the mean stellar velocity dispersion $\sigma$ of the host bulge. The
dynamic evolution of a bulge and the formation of a central SMBH should be
physically linked by various observational clues. In this contribution, we
reproduce the empirical $M_{\rm BH}-\sigma$ power laws based on a self-similar
general polytropic quasi-static bulge evolution and a sensible criterion of
forming a SMBH surrounding the central density singularity of a general
singular polytropic sphere (SPS) \cite{loujiang2008}. Other properties of host
bulges and central SMBHs are also examined. Based on our model, we discuss the
intrinsic scatter of the $M_{\rm BH}-\sigma$ relation and a scenario for the
evolution of SMBHs in different host bulges.


title: Domain wall propagation in Permalloy nanowires with a thickness gradient

abstract:
  The domain wall nucleation and motion processes in Permalloy nanowires with a
thickness gradient along the nanowire axis have been studied. Nanowires with
widths, w = 250 nm to 3 um and a base thickness of t = 10 nm were fabricated by
electron-beam lithography. The magnetization hysteresis loops measured on
individual nanowires are compared to corresponding nanowires without a
thickness gradient. The Hc vs. t/w curves of wires with and without a thickness
gradient are discussed and compared to micromagnetic simulations. We find a
metastability regime at values of w, where a transformation from transverse to
vortex domain wall type is expected.


title:
Soft-Gluon Cancellation, Phases and Factorization with Initial-State
  Partons

abstract:
  We outline arguments for the cancellation of soft singularities in transition
probabilities and parton distributions with incoming partons and Wilson lines,
and with observed jets or heavy colored particles in the final states. We show
the cancellation of Glauber gluons and divergent phases, relating finite
remainders to corrections that arise from restrictions on final states in
factorized cross sections.


title: Hard X-Ray sources observed by INTEGRAL/IBIS and their science

abstract:
  After more than 5.5 years of in flight lifetime, the ESA space observatory
INTEGRAL is depicting a new scenario in the soft gamma Ray domain. With the
observation and discovery of more than 400 hard X-Ray sources has changed our
view of a moderately crowded and dark sky basically populated by "peculiar" and
erratic sources. The new high energy sky is also composed by a large variety of
"normal" though very powerful objects, characterized by new accretion and
acceleration processes. Among the 421 sources detected in the energy range
17-100 keV the 3rd INTEGRAL/IBIS catalogue includes 41% galactic accreting
system, 29% extragalactic objects, 8% of other types, and 26% not classified
i.e. of unknown origin. If compared to to previous IBIS/ISGRI surveys it is
clear that there is a continuous increase of the rate of discovery of HMXB, an
increase in the number of AGN discovered, including a variety of distant QSOs,
basically due to the increased exposure away from the Galaxy Plane, while the
percentage of sources without an identification has remained constant.
INTEGRAL, by the end of Y6, will complete the Core Programme observation due to
provide an almost constant exposure of the whole Galaxy Plane and will be fully
open to the scientific community for Open Time and Key Programme observations
from the beginning of 2009. In this paper we shortly review the main outcome of
the 3rd INTEGRAL/IBIS catalogue (cat3) including an excursus of the INTEGRAL
high energy sky with particular regard to sources emitting at high energy,
including Low and High Mass X-Ray Binaries (LMXB & HMXB), Supergiant Fast X-Ray
Transients (SFXT), Pulsar Wind Nebulae (PWN) and Active Galactic Nuclei (AGN).


title:
Neel order in the Hubbard model within spin-charge rotating reference
  frame approach: crossover from weak to strong coupling

abstract:
  The antiferromagnetic phase of two-dimensional (2D) and three-dimensional
(3D) Hubbard model with nearest neighbors hopping is studied on a bipartite
cubic lattice by means of the quantum SU(2)xU(1) rotor approach that yields a
fully self-consistent treatment of the antiferromagnetic state that respects
the symmetry properties the model and satisfy the Mermin-Wagner theorem. The
collective variables for charge and spin are isolated in the form of the
space-time fluctuating U(1) phase field and rotating spin quantization axis
governed by the SU(2) symmetry, respectively. As a result interacting electrons
appear as a composite objects consisting of bare fermions with attached U(1)
and SU(2) gauge fields. An effective action consisting of a spin-charge rotor
and a fermionic fields is derived as a function of the Coulomb repulsion U and
hopping parameter t. At zero temperature, our theory describes the evolution
from a Slater (U<<t) to a Mott-Heisenberg (U>>t) antiferromagnet. The results
for zero-temperature sublatice magnetization (2D) and finite temperature (3D)
phase diagram of the antiferromagnetic Hubbard model as a function of the
crossover parameter U/t are presented and the role of the spin Berry phase in
the interaction driven crossover is analyzed.


title:
Constant rotation of two-qubit equally entangled pure states by local
  quantum operations

abstract:
  We look for local unitary operators $W_1 \otimes W_2$ which would rotate all
equally entangled two-qubit pure states by the same but arbitrary amount. It is
shown that all two-qubit maximally entangled states can be rotated through the
same but arbitrary amount by local unitary operators. But there is no local
unitary operator which can rotate all equally entangled non-maximally entangled
states by the same amount, unless it is unity. We have found the optimal sets
of equally entangled non-maximally entangled states which can be rotated by the
same but arbitrary amount via local unitary operators $W_1 \otimes W_2$, where
at most one these two operators can be identity. In particular, when $W_1 = W_2
= (i/\sqrt{2})({\sigma}_x + {\sigma}_y)$, we get the local quantum NOT
operation. Interestingly, when we apply the one-sided local depolarizing map,
we can rotate all equally entangled two-qubit pure states through the same
amount. We extend our result for the case of three-qubit maximally entangled
state.


title:
Cosmic-Ray Positron from Superparticle Dark Matter and the PAMELA
  Anomaly

abstract:
  Motivated by the anomalous positron flux recently reported by the PAMELA
collaboration, we study the cosmic-ray positron produced by the pair
annihilation and the decay of superparticle dark matter. We calculate the
cosmic-ray positron flux and discuss implications of the PAMELA data. We show
that the positron excess observed by the PAMELA can be explained with some of
the superparticle dark matter.


title: Ion thermal effects in oscillating multi-ion plasma sheath theory

abstract:
  The effects of ion temperature are discussed in a two-ion electron plasma and
for a model applicable to the oscillating sheath theory that has recently been
much in the focus of researchers. The differences between the fluid and kinetic
models have been pointed out, as well as the differences between the
approximative kinetic description (which involves the expansion of the plasma
dispersion function), and the exact kinetic description. It is shown that the
approximative kinetic description, first, can not describe the additional
acoustic mode which naturally exists in the plasma with an additional ion
population with a finite temperature, and, second, it yields an inaccurate
Landau damping of the bulk ion acoustic mode. The reasons for these two
failures are described. In addition to this, a fluid model is presented that is
capable of capturing both of these features that are missing in the
approximative kinetic description, i.e., two (fast and slow) ion acoustic
modes, and the corresponding Landau damping of both modes.


title: The environments of starburst and post-starburst galaxies at z=0.4-0.8

abstract:
  Post-starburst (E+A or k+a) spectra, characterized by their exceptionally
strong Balmer lines in absorption and the lack of emission lines, belong to
galaxies in which the star formation activity ended abruptly sometime during
the past Gyr. We perform a spectral analysis of galaxies in clusters, groups,
poor groups and the field at z=0.4-0.8 based on the ESO Distant Cluster Survey.
The incidence of k+a's at these redshifts depends strongly on environment.
K+a's reside preferentially in clusters and, unexpectedly, in a subset of the
sigma = 200-400 km/s groups, those that have a low fraction of [OII] emitters.
In these environments, 20-30% of the recently star-forming galaxies have had
their star formation activity recently truncated. In contrast, there are
proportionally fewer k+a's in the field, the poor groups and groups with a high
[OII] fraction. The incidence of k+a galaxies correlates with the cluster
velocity dispersion: more massive clusters have higher proportions of k+a's.
Spectra of dusty starburst candidates, with strong Balmer absorption and
emission lines, present a very different environmental dependence from k+a's.
They are numerous in all environments at z=0.4-0.8, but they are especially
numerous in all types of groups, favoring the hypothesis of triggering by a
merger. Our observations are consistent with previous suggestions that cluster
k+a galaxies are observed in a transition phase as massive S0 and Sa galaxies,
evolving from star-forming later types to passively evolving early-type
galaxies. The correlation between k+a fraction and cluster sigma supports the
hypothesis that k+a galaxies in clusters originate from processes related to
the intracluster medium, while several possibilities are discussed for the
origin of the k+a frequency in low-[OII] groups.(abr.)


title:
TI-games I: An Exploration of Type Indeterminacy In Strategic
  Decision-Making

abstract:
  The Type Indeterminacy model is a theoretical framework that formalizes the
constructive preference perspective suggested by Kahneman and Tversky. In this
paper we explore an extention of the TI-model from simple to strategic
decision-making. A 2X2 game is investigated. We first show that in a one-shot
simultaneaous move setting the TI-model is equivalent to a standard incomplete
information model. We then let the game be preceded by a cheap-talk promise
exchange game. We show in an example that in the TI-model the promise stage can
have impact on next following behavior when the standard classical model
predicts no impact whatsoever. The TI approach differs from other behavioral
approaches in identifying the source of the effect of cheap-talk promises in
the intrinsic indeterminacy of the players' type.


title: Characterizing Graphs of Zonohedra

abstract:
  A classic theorem by Steinitz states that a graph G is realizable by a convex
polyhedron if and only if G is 3-connected planar. Zonohedra are an important
subclass of convex polyhedra having the property that the faces of a zonohedron
are parallelograms and are in parallel pairs. In this paper we give
characterization of graphs of zonohedra. We also give a linear time algorithm
to recognize such a graph. In our quest for finding the algorithm, we prove
that in a zonohedron P both the number of zones and the number of faces in each
zone is O(square root{n}), where n is the number of vertices of P.


title:
Pomeron-Odderon interference in production of pi^ + pi^- pairs in
  ultraperipheral collisions

abstract:
  In this contribution we discuss the production of two pion pairs in high
energy photon collisions as they can be produced in ultraperipheral collisions
at hadron colliders such as the Tevatron, RHIC or LHC. We find that charge
asymmetries may reveal the existence of the perturbative Odderon.


title: A note on the Poincar'e series of the invariants of ternary forms

abstract:
  Analogue of Springer's formula for the Poincar\'e series of the algebra
invariants of ternary form is found.


title:
Generic stability of dissipative non-relativistic and relativistic
  fluids

abstract:
  The linear stability of the homogeneous equilibrium of non-relativistic
fluids with mass flux and special relativistic fluids with the absolute value
of the energy vector as internal energy is investigated. It is proved that the
equilibrium is asymptotically stable in both cases due to purely thermodynamic
restrictions; the only requirements are the thermodynamic stability and the
nonnegativity of the transport coefficients.


title:
Embedding a chaotic signature in a periodic train: can periodic signals
  be chaotic?

abstract:
  We show how a chaotic system can be locked to emit a periodic waveform
belonging to its chaotic attractor. We numerically demonstrate our idea in a
system composed of a semiconductor laser driven to chaos by optical feedback
from a short external cavity. The clue is the injection of an appropriate
periodic signal that modulates the phase and amplitude of the intra-cavity
radiation, a chaotic analogy of conventional mode-locking. The result is a time
process that manifests a chaotic signature embedded in a long-scale periodic
train.


title: Stability of mean convex cones under mean curvature flow

abstract:
  We consider graphical solutions to mean curvature flow and obtain a stability
result for homothetically expanding solutions coming out of cones of positive
mean curvature: If another solution is initially close to the cone at infinity,
then the difference to the homothetically expanding solution becomes small for
large times. The proof involves the construction of appropriate barriers.


title: How well can we predict the total cross section at the LHC?

abstract:
  Independently of any theory, the possibility that the large value of the
Tevatron cross section claimed by CDF is correct suggests that the total cross
section at the LHC may be large. Because of the experimental and theoretical
uncertainities, the best prediction is $125\pm 35$ mb.


title:
Dynamics of Nonlinear Schrodinger / Gross-Pitaevskii Equations; Mass
  Transfer in Systems with Solitons and Degenerate Neutral Modes

abstract:
  Nonlinear Schrodinger / Gross-Pitaevskii equations play a central role in the
understanding of nonlinear optical and macroscopic quantum systems. The large
time dynamics of such systems is governed by interactions of the nonlinear
ground state manifold, discrete neutral modes (``excited states'') and
dispersive radiation. Systems with symmetry, in spatial dimensions larger than
one, typically have degenerate neutral modes. Thus, we study the large time
dynamics of systems with degenerate neutral modes. This requires a new normal
form (nonlinear matrix Fermi Golden Rule) governing the system's large time
asymptotic relaxation to the ground state (soliton) manifold.


title:
Asymptotics for the survival probability in a killed branching random
  walk

abstract:
  Consider a discrete-time one-dimensional supercritical branching random walk.
We study the probability that there exists an infinite ray in the branching
random walk that always lies above the line of slope $\gamma-\epsilon$, where
$\gamma$ denotes the asymptotic speed of the right-most position in the
branching random walk. Under mild general assumptions upon the distribution of
the branching random walk, we prove that when $\epsilon\to 0$, the probability
in question decays like $\exp\{- {\beta + o(1)\over \epsilon^{1/2}}\}$, where
$\beta$ is a positive constant depending on the distribution of the branching
random walk. In the special case of i.i.d. Bernoulli$(p)$ random variables
(with $0<p<{1\over 2}$) assigned on a rooted binary tree, this answers an open
question of Robin Pemantle.


title: Black Holes as Effective Geometries

abstract:
  Gravitational entropy arises in string theory via coarse graining over an
underlying space of microstates. In this review we would like to address the
question of how the classical black hole geometry itself arises as an effective
or approximate description of a pure state, in a closed string theory, which
semiclassical observers are unable to distinguish from the "naive" geometry. In
cases with enough supersymmetry it has been possible to explicitly construct
these microstates in spacetime, and understand how coarse-graining of
non-singular, horizon-free objects can lead to an effective description as an
extremal black hole. We discuss how these results arise for examples in Type II
string theory on AdS_5 x S^5 and on AdS_3 x S^3 x T^4 that preserve 16 and 8
supercharges respectively. For such a picture of black holes as effective
geometries to extend to cases with finite horizon area the scale of quantum
effects in gravity would have to extend well beyond the vicinity of the
singularities in the effective theory. By studying examples in M-theory on
AdS_3 x S^2 x CY that preserve 4 supersymmetries we show how this can happen.


title: Two-photon gateway in one-atom cavity quantum electrodynamics

abstract:
  Single atoms absorb and emit light from a resonant laser beam photon by
photon. We show that a single atom strongly coupled to an optical cavity can
absorb and emit resonant photons in pairs. The effect is observed in a photon
correlation experiment on the light transmitted through the cavity. We find
that the atom-cavity system transforms a random stream of input photons into a
correlated stream of output photons, thereby acting as a two-photon gateway.
The phenomenon has its origin in the quantum anharmonicity of the energy
structure of the atom-cavity system. Future applications could include the
controlled interaction of two photons by means of one atom.


title: Is Turbulence as Simple as Tossing a Coin?

abstract:
  A large variety of problems in statistical physics use a Gaussian
distribution as a starting point. For the problem of intermittency in fluid
turbulence, the Gaussian approximation is not a useful beginning. We find that
the Cramer's rate function in the theory of large deviations as used in a
simple coin toss is a promising starting point for giving an account of
intermittency. In addition, it offers another view of Jarzynski equality.


title: Perturbative QCD predictions for two-photon exchange

abstract:
  We study two-photon exchange (TPE) in the elastic electron-nucleon scattering
at high Q^2 in the framework of pQCD. The obtained TPE amplitude is of order
alpha/alpha_s with respect to Born approximation. Its shape and value are
sensitive to the choice of nucleon wavefunction, thus study of TPE effects can
provide important information about nucleon structure. With the wavefunctions
based on QCD sum rules, TPE correction to the electron-proton cross section has
negative sign, is almost linear in epsilon and grows logarithmically with Q^2
up to 7% at Q^2 = 30 GeV^2. The results of existing "hadronic" calculations,
taking into account just the nucleon intermediate state, can be smoothly
connected with pQCD result near Q^2 = 3 GeV^2. Above this point two methods
disagree, which implies that "hadronic" approach becomes inadequate at high
Q^2. Other relevant observables, such as electron/positron cross section ratio,
are also discussed.


title: Collective spin dynamics in magnetic nanomaterials

abstract:
  Magnetic nanomaterials are considered, formed by magnetic nanomolecules with
high spins. The problem of spin reversal in these materials is analyzed, which
is of interest for the possible use of such materials for quantum information
processing and quantum computing. The fastest spin reversal can be achieved by
coupling the spin sample to a resonant electric circuit and by an appropriate
choice of the system parameters. A principal point is to choose these
parameters so that to organize coherent spin motion. Dynamics of collective
motion is modelled by computer simulations, which confirm the high level of
dynamical coherence of molecular spins in the process of spin reversal.


title: The Structure of Spacetime and Noncommutative Geometry

abstract:
  We give a general and nontechnical review of some aspects of noncommutative
geometry as a tool to understand the structure of spacetime. We discuss the
motivations for the constructions of a noncommutative geometry, and the passage
from commutative to noncommutative spaces. We then give a brief description of
Connes approach to the standard model, of the noncommutative geometry of
strings and of field theory on noncommutative spaces. We also discuss the role
of symmetries and some possible consequences for cosmology.


title: Magnetothermoelectric Response near Quantum Critical Points

abstract:
  Following on from our previous work [Phys. Rev. Lett. 98, 166801 (2007)] we
examine the finite temperature magnetothermoelectric response in the vicinity
of a quantum critical point (QCP). We begin with general scaling considerations
relevant to an arbitrary QCP, either with or without Lorentz invariance, and in
arbitrary dimension. In view of the broad connections to high temperature
superconductivity, and cold atomic gases, we focus on the quantum critical
fluctuations of the relativistic Landau--Ginzburg theory. This paradigmatic
model arises in many contexts, and describes the (particle-hole symmetric)
superfluid--Mott insulator quantum phase transition in the Bose--Hubbard model.
The application of a magnetic field opens up a wide range of physical
observables, and we present a detailed overview of the charge and thermal
transport and thermodynamic response. We combine several different approaches
including the epsilon expansion and associated Quantum Boltzmann Equation
(QBE), entropy drift, and arguments based on Lorentz invariance. The results
differ markedly from the zero field case, and we include an extended discussion
of the finite thermal conductivity which emerges in the presence of a magnetic
field. We derive an integral equation that governs its response and explore the
crossover upon changing the magnetic field. This equation may be interpreted as
a projection equation in the low field limit, and clearly highlights the
important role of collision invariants (or zero modes) in the hydrodynamic
regime. Using an epsilon expansion around three-dimensions, our analytic and
numerical results interpolate between our previously published value and the
exact limit of two-dimensional relativistic magnetohydrodynamics.


title: Quasi-alternating Montesinos links

abstract:
  The aim of this article is to detect new classes of quasi-alternating links.
Quasi-alternating links are a natural generalization of alternating links.
Their knot Floer and Khovanov homology are particularly easy to compute. Since
knot Floer homology detects the genus of a knot as well as whether a knot is
fibered, as provided bounds on unknotting number and slice genus,
characterization of quasi-alternating links becomes an interesting open
problem. We show that there exist classes of non-alternating Montesinos links,
which are quasi-alternating.


title: Gravitino Dark Matter with Sneutrino NLSP in NUHM

abstract:
  The identity of dark matter has not been solved up to this date, a problem
that became the main topic of this conference. There are many theoretical
candidates for dark matter particle, including gravitino from supergravity
models. For gravitino dark matter scenario, the phenomenology depends much on
what the next lightest supersymmetric particle (NLSP) is. We show here that
sneutrino can naturally be the NLSP in the Non-Universal Higgs Masses (NUHM)
model, and that this scenario is still phenomenologically viable.


title: Multiple Time-Scale Behaviour and Network Dynamics in Liquid Methanol

abstract:
  Canonical ensemble molecular dynamics simulations of liquid methanol, modeled
using a rigid-body, pair-additive potential, are used to compute static
distributions and temporal correlations of tagged molecule potential energies
as a means of characterising the liquid state dynamics. The static distribution
of tagged molecule potential energies shows a clear multimodal structure with
three distinct peaks, similar to those observed previously in water and liquid
silica. The multimodality is shown to originate from electrostatic effects, but
not from local, hydrogen-bond interactions. An interesting outcome of this
study is the remarkable similarity in the tagged potential energy power spectra
of methanol, water and silica, despite the differences in the underlying
interactions and the dimensionality of the network. All three liquids show a
distinct multiple time scale (MTS) regime with a 1/f dependence with a clear
positive correlation between the scaling exponent alpha and the diffusivity.
The low-frequency limit of the MTS regime is determined by the frequency of
crossover to white noise behaviour which occurs at approximately 0.1 cm{-1} in
the case of methanol under standard temperature and pressure conditions. The
power spectral regime above 200 cm{-1} in all three systems is dominated by
resonances due to localised vibrations, such as librations. The correlation
between $\alpha$ and the diffusivity in all three liquids appears to be related
to the strength of the coupling between the localised motions and the larger
length/time-scale network reorganizations. Thus the time scales associated with
network reorganization dynamics appear to be qualitatively similar in these
systems, despite the fact that water and silica both display diffusional
anomalies but methanol does not.


title:
Efficient Energy Management Policies for Networks with Energy Harvesting
  Sensor Nodes

abstract:
  We study sensor networks with energy harvesting nodes. The generated energy
at a node can be stored in a buffer. A sensor node periodically senses a random
field and generates a packet. These packets are stored in a queue and
transmitted using the energy available at that time at the node. For such
networks we develop efficient energy management policies. First, for a single
node, we obtain policies that are throughput optimal, i.e., the data queue
stays stable for the largest possible data rate. Next we obtain energy
management policies which minimize the mean delay in the queue. We also compare
performance of several easily implementable suboptimal policies. A greedy
policy is identified which, in low SNR regime, is throughput optimal and also
minimizes mean delay. Next using the results for a single node, we develop
efficient MAC policies.


title: Equation of state for QCD matter in a quasiparticle model

abstract:
  A phenomenological QCD quasiparticle model provides a means to map lattice
QCD results to regions relevant for a variety of heavy-ion collision
experiments at larger baryon density. We report on effects of collectives modes
and damping on the equation of state.


title: WFCAM Survey of M31 Globular Clusters: Low Mass X-ray Binaries

abstract:
  We investigate the relationship between Low Mass X-ray Binaries (LMXBs) and
globular clusters (GCs) using UKIRT observations of M31 and existing Chandra,
XMM-Newton, and ROSAT catalogues. By fitting King models to these data we have
estimated the structural parameters and stellar collision rates of 239 of its
GCs. We show a highly significant trend between the presence of a LMXB and the
stellar collision rate of a cluster. The stellar collision rate is found to be
a stronger predictor of which clusters will host LMXBs than the host cluster
mass. We argue that our results show that the stellar collision rate of the
clusters is the fundamental parameter related to the production LMXBs. This is
consistent with the formation of LMXBs through dynamical interactions with
little direct dependence on the neutron star retention fraction or cluster
mass.


title: Dispersion of volume under the action of isotropic Brownian flows

abstract:
  We study transport properties of isotropic Brownian flows. Under a transience
condition for the two-point motion, we show asymptotic normality of the image
of a finite measure under the flow and -- under slightly stronger assumptions
-- asymptotic normality of the distribution of the volume of the image of a set
under the flow. Finally, we show that for a class of isotropic flows, the
volume of the image of a nonempty open set (which is a martingale) converges to
a random variable which is almost surely strictly positive.


title: Structure of meson-baryon interaction vertices

abstract:
  We present a microscopic derivation of the form factors of strong-interaction
piNN and piNDelta vertices within a relativistic constituent quark model. The
results are compared with form factors from phenomenological meson-baryon
models and recent lattice QCD calculations. We give an analytical
representation of the vertex form factors suitable for applications in further
studies of hadron reactions.


title: Coexistence of Ferromagnetism with Spin Triplet Superconductivity

abstract:
  The experimental results for ZrZn$_{2}$, URhGe, and in some pressure ranges
also for UGe$_{2}$, have shown that the ferromagnetic superconductors are weak
itinerant ferromagnets. Guided by these results we describe the phenomenon of
coexistence between equal spin triplet pairing superconductivity (SC) and
ferromagnetism (F) using the extended Stoner model, which includes in
Hamiltonian the on-site Coulomb interaction, $U$, and occupation dependent
hopping integral. We use Hartree-Fock (H-F) approximation and the Green
functions technique. In the H-F approximation the on-site Coulomb interaction
plays the role of the on-site exchange (Hund's) field. All inter-site
interactions will have included the inter-site kinetic correlation,
$<c_{i\sigma}^{+}c_{j\sigma}>$, within the H-F approximation. We introduce the
pressure-dependence to the hopping integral. Numerical results are compared
with experimental data for ZrZn$_{2}$. The kinetic correlation creates the
superconductivity without help of negative values of Coulomb interactions. The
model can explain stimulation of triplet SC by the weak itinerant
ferromagnetism. This effect was observed experimentally in ZrZn$_{2}$.
Numerical analysis also confirms the experimental effect of decrease in
critical temperatures (Curie and superconducting) with increasing external
pressure.


title: Shell-structure fingerprints of tensor interaction

abstract:
  We address consequences of strong tensor and weak spin-orbit terms in the
local energy density functional, resulting from fits to the $f_{5/2} - f_{7/2}$
splittings in $^{40}$Ca, $^{48}$Ca, and $^{56}$Ni. In this study, we focus on
nuclear binding energies. In particular, we show that the tensor contribution
to the binding energies exhibits interesting topological features closely
resembling that of the shell-correction. We demonstrate that in the extreme
single-particle scenario at spherical shape, the tensor contribution shows
tensorial magic numbers equal to $N(Z)$=14, 32, 56, and 90, and that this
structure is smeared out due to configuration mixing caused by pairing
correlations and migration of proton/neutron sub-shells with neutron/proton
shell filling. Based on a specific Skyrme-type functional SLy4$_T$, we show
that the proton tensorial magic numbers shift with increasing neutron excess to
$Z$=14, 28, and 50.


title: Effects of charging energy on SINIS tunnel junction thermometry

abstract:
  We have investigated theoretically the effects of the charging energy to the
normal metal--insulator--superconductor (NIS) tunnel junction used as a
thermometer. We demonstrate by numerical calculations how the charging effects
modify NIS thermometry, and how the voltage--to--temperature response and the
responsivity $|dV/dT|$ of a current biased thermometer are affected. In
addition, we show that the responsivity of the thermometer can be modulated
with an additional gate electrode. The maximum responsivity is achieved when
the Coulomb blockade is maximal, i.e. with a closed gate.


title:
Representations of the orthosymplectic Lie superalgebra osp(1|4) and
  paraboson coherent states

abstract:
  We introduce and obtain multimode paraboson coherent states. In appropriate
subspaces these coherent states provide a decomposition of unity where the
measure, when expressed using the cat-type states, is positive definite.
Bicoherent states where the mutually commuting lowering operators are
diagonalized are also obtained. Matrix elements in the coherent state basis are
calculated.


title: Confronting Finsler space-time with experiment

abstract:
  Within all approaches to quantum gravity small violations of the Einstein
Equivalence Principle are expected. This includes violations of Lorentz
invariance. While usually violations of Lorentz invariance are introduced
through the coupling to additional tensor fields, here a Finslerian approach is
employed where violations of Lorentz invariance are incorporated as an integral
part of the space-time metrics. Within such a Finslerian framework a modified
dispersion relation is derived which is confronted with current high precision
experiments. As a result, Finsler type deviations from the Minkowskian metric
are excluded with an accuracy of 10^{-16}.


title:
Billiard representation for pseudo-Euclidean Toda-like systems of
  cosmological origin

abstract:
  The pseudo-Euclidean Toda-like system of cosmological origin is considered.
When certain restrictions on the parameters of the model are imposed, the
dynamics of the model near the ``singularity'' is reduced to a billiard on the
(n-1)-dimensional Lobachevsky space H^{n-1}. The geometrical criterion for the
finiteness of the billiard volume and its compactness is suggested. This
criterion reduces the problem to the problem of illumination of
(n-2)-dimensional sphere S^{n-2} by point-like sources. Some examples are
considered.


title:
Direct probing of the Wigner function by time-multiplexed detection of
  photon statistics

abstract:
  We investigate the capabilities of loss-tolerant quantum state
characterization using a photon-number resolving, time-multiplexed detector
(TMD). We employ the idea of probing the Wigner function point-by-point in
phase space via photon parity measurements and displacement operations,
replacing the conventional homodyne tomography. Our emphasis lies on
reconstructing the Wigner function of non-Gaussian Fock states with highly
negative values in a scheme that is based on a realistic experimental setup. In
order to establish the concept of loss-tolerance for state characterization we
show how losses can be decoupled from the impact of other experimental
imperfections, i.e. the non-unity transmittance of the displacement
beamsplitter and non-ideal mode overlap. We relate the experimentally
accessible parameters to effective ones that are needed for an optimised state
reconstruction. The feasibility of our approach is tested by Monte Carlo
simulations, which provide bounds resulting from statistical errors that are
due to limited data sets. Our results clearly show that high losses can be
accepted for a defined parameter range, and moreover, that (in contrast to
homodyne detection) mode mismatch results in a distinct signature, which can be
evaluated by analysing the photon number oscillations of the displaced Fock
states.


title: Some results on communicating the sum of sources over a network

abstract:
  We consider the problem of communicating the sum of $m$ sources to $n$
terminals in a directed acyclic network. Recently, it was shown that for a
network of unit capacity links with either $m=2$ or $n=2$, the sum of the
sources can be communicated to the terminals if and only if every
source-terminal pair is connected in the network. We show in this paper that
for any finite set of primes, there exists a network where the sum of the
sources can be communicated to the terminals only over finite fields of
characteristic belonging to that set. As a corollary, this gives networks where
the sum can not be communicated over any finite field even though every source
is connected to every terminal.


title:
On the existence of the magnetic monopole and the non-existence of the
  Higgs-particle

abstract:
  In this paper the existence of the Higgs field is taken as an undeniable
starting point. However, the origin of the field is challenged. Rather than
ascribing the origin of it to a yet undiscovered phantom particle, the origin
is ascribed directly to electromagnetic energy, in particular as magnetic
charge next to electric charge of elementary pointlike particles. To this end
two instruments are used. The first one is the transform of the Higgs field
from a functional description into a spatial description, without changing the
basic properties. The other instrument is the concept of the magnetic monopole,
as introduced by Dirac. The two instruments appear to fit well together. The
results of all of this is that electromagnetic energy on its own is the source
of all mass. It implies that the search after the Higgs particle will remain
fruitless. No other equations, apart from Maxwell's Equations and Dirac's
Equation are required to express the fundamentals of quantum waves and quantum
fields, which makes the disputed Klein Gordon Equation obsolete. The theory
reveals an algorithm to explain the ratios between the lepton masses. In that
sense the theory shows a predictive element, while grosso modo, as shown, no
derogation is done to the results and instruments of canonic theory.


title:
Auxiliary field method and analytical solutions of the Schr\"{o}dinger
  equation with exponential potentials

abstract:
  The auxiliary field method is a new and efficient way to compute approximate
analytical eigenenergies and eigenvectors of the Schr\"{o}dinger equation. This
method has already been successfully applied to the case of central potentials
of power-law and logarithmic forms. In the present work, we show that the
Schr\"{o}dinger equation with exponential potentials of the form $-\alpha
r^\lambda \exp(-\beta r)$ can also be analytically solved by using the
auxiliary field method. Formulae giving the critical heights and the energy
levels of these potentials are presented. Special attention is drawn on the
Yukawa potential and the pure exponential one.


title:
Internal One-Particle Density Matrix for Bose-Einstein Condensates with
  Finite Number of Particles in a Harmonic Potential

abstract:
  Investigations on the internal one-particle density matrix in the case of
Bose-Einstein condensates with a finite number ($N$) of particles in a harmonic
potential are performed. We solve the eigenvalue problem of the
Pethick-Pitaevskii-type internal density matrix and find a fragmented
condensate. On the contrary the condensate Jacobi-type internal density matrix
gives complete condensation into a single state. The internal one-particle
density matrix is, therefore, shown to be different in general for different
choices of the internal coordinate system. We propose two physically motivated
criteria for the choice of the adequate coordinate systems which give us a
unique answer for the internal one-particle density matrix. One criterion is
that in the infinite particle number limit ($N=\infty$) the internal
one-particle density matrix should have the same eigenvalues and eigenfunctions
as those of the corresponding ideal Bose-Einstein condensate in the laboratory
frame. The other criterion is that the coordinate of the internal one-particle
density matrix should be orthogonal to the remaining $(N - 2)$ internal
coordinates. This second criterion is shown to imply the first criterion. It is
shown that the internal Jacobi coordinate system satisfies these two criteria
while the internal coordinate system adopted by Pethick and Pitaevskii for the
construction of the internal one-particle density matrix does not. It is
demonstrated that these two criteria uniquely determine the internal
one-particle density matrix which is identical to that calculated with the
Jacobi coordinates. The relevance of this work concerning $\alpha$-particle
condensates in nuclei, as well as bosonic atoms in traps, is pointed out.


title:
Biorthonormal Systems in Freud-type Weighted Spaces with Infinitely Many
  Zeros - An Interpolation Problem

abstract:
  In a Freud-type weighted ($w$) space, introducing another weight ($v$) with
infinitely many roots, we give a complete and minimal system with respect to
$vw$, by deleting infinitely many elements from the original orthonormal system
with respect to $w$. The construction of the conjugate system implies an
interpolation problem at infinitely many nodes. Besides the existence, we give
some convergence properties of the solution.


title:
On Unique Additive Representations of Positive Integers and Some Close
  Problems

abstract:
  Let, for r>=2, (m_r(n)),n>=0, be Moser sequence such that every nonnegative
integer is the unique sum of the form s_k+rs_l. In this article we give an
explicit decomposition formulas of such form and an unexpectedly simple
recursion relation for Moser's numbers. We also study interesting properties of
the sequence (rm_r(n-1)+1),n>=1, and its connection with some important
problems. In particular, in the case of r=2 this sequence is surprisingly
connected with the numbers solving the combinatorial Josephus-Groer problem. We
pose also some open questions.


title: Torsion Discovery Potential and Its Discrimination at CERN LHC

abstract:
  Torsion models constitute a well known class of extended quantum gravity
models. In this paper we study some phenomenological consequences of a torsion
field interacting with fermions at LHC. A torsion field could appear as a new
heavy state characterized by its mass and couplings to fermions. These new
states will form a resonance decaying into difermions, as occurs in many
extensions of the Standard Model, such as models predicting the existence of
additional neutral gauge bosons, usually named $Z^\prime$. Using the dielectron
channel we evaluate the integrated luminosity needed for a $5\sigma$ discovery
as a function of the torsion mass, for different coupling values. We also
calculate the luminosity needed for discriminate, with 95% C.L., the two
possible different torsion natures. Finally, we show that the observed signal
coming from the torsion field could be distinguished from a signal coming from
a new neutral gauge boson, provided there is enough luminosity.


title:
Using CMBR analysis tools for flow anisotropies in relativistic
  heavy-ion collisions

abstract:
  Recently we have shown that there are crucial similarities in the physics of
cosmic microwave background radiation (CMBR) anisotropies and the flow
anisotropies in relativistic heavy-ion collision experiments (RHICE). We also
argued that, following CMBR anisotropy analysis, a plot of root-mean square
values of the flow coefficients, calculated in a lab fixed frame for RHICE, can
yield important information about the nature of initial state anisotropies and
their evolution. Here we demonstrate the strength of this technique by showing
that elliptic flow for non-central collisions can be directly determined from
such a plot without any need for the determination of event-plane.

categories: hep-ph astro-ph gr-qc hep-th nucl-ex nucl-th


title: Parameter Estimation from an Optimal Projection in a Local Environment

abstract:
  The parameter fit from a model grid is limited by our capability to reduce
the number of models, taking into account the number of parameters and the non
linear variation of the models with the parameters. The Local MultiLinear
Regression (LMLR) algorithms allow one to fit linearly the data in a local
environment. The MATISSE algorithm, developed in the context of the estimation
of stellar parameters from the Gaia RVS spectra, is connected to this class of
estimators. A two-steps procedure was introduced. A raw parameter estimation is
first done in order to localize the parameter environment. The parameters are
then estimated by projection on specific vectors computed for an optimal
estimation. The MATISSE method is compared to the estimation using the
objective analysis. In this framework, the kernel choice plays an important
role. The environment needed for the parameter estimation can result from it.
The determination of a first parameter set can be also avoided for this
analysis. These procedures based on a local projection can be fruitfully
applied to non linear parameter estimation if the number of data sets to be
fitted is greater than the number of models.


title: Simulations of Extreme-Mass-Ratio Inspirals Using Pseudospectral Methods

abstract:
  Extreme-mass-ratio inspirals (EMRIs), stellar-mass compact objects (SCOs)
inspiralling into a massive black hole, are one of the main sources of
gravitational waves expected for the Laser Interferometer Space Antenna (LISA).
To extract the EMRI signals from the expected LISA data stream, which will also
contain the instrumental noise as well as other signals, we need very accurate
theoretical templates of the gravitational waves that they produce. In order to
construct those templates we need to account for the gravitational
backreaction, that is, how the gravitational field of the SCO affects its own
trajectory. In general relativity, the backreaction can be described in terms
of a local self-force, and the foundations to compute it have been laid
recently. Due to its complexity, some parts of the calculation of the
self-force have to be performed numerically. Here, we report on an ongoing
effort towards the computation of the self-force based on time-domain
multi-grid pseudospectral methods.


title:
Equilibrium long-ranged charge correlations at the surface of a
  conductor coupled to the electromagnetic radiation II

abstract:
  Results of a previous article with the same title are retrieved by a
different method. A one-component plasma is bounded by a plane surface. The
plasma is fully coupled to the electromagnetic field, therefore the charge
correlations are retarded. The quantum correlation function of the surface
charge densities, at times different by $t$, at asymptotical large distances
$R$, at inverse temperature $\beta$, decays as $-1/(8\pi^2\beta R^3)$, a
surprisingly simple result: the decay is independent of Planck's constant
$\hbar$ and of the time difference $t$. The present paper is based on the
analysis of the collective vibration modes of the system.

categories: cond-mat.stat-mech astro-ph cond-mat.mtrl-sci quant-ph


title: Constructing elliptic curves over finite fields with prescribed torsion

abstract:
  We present a method for constructing optimized equations for the modular
curve X_1(N) using a local search algorithm on a suitably defined graph of
birationally equivalent plane curves. We then apply these equations over a
finite field F_q to efficiently generate elliptic curves with nontrivial
N-torsion by searching for affine points on X_1(N)(F_q), and we give a fast
method for generating curves with (or without) a point of order 4N using
X_1(2N).


title:
Nonalgebraic length dependence of transmission through a chain of
  barriers with a Levy spacing distribution

abstract:
  The recent realization of a "Levy glass" (a three-dimensional optical
material with a Levy distribution of scattering lengths) has motivated us to
analyze its one-dimensional analogue: A linear chain of barriers with
independent spacings s that are Levy distributed: p(s)~1/s^(1+alpha) for s to
infinity. The average spacing diverges for 0<alpha<1. A random walk along such
a sparse chain is not a Levy walk because of the strong correlations of
subsequent step sizes. We calculate all moments of conductance (or
transmission), in the regime of incoherent sequential tunneling through the
barriers. The average transmission from one barrier to a point at a distance L
scales as L^(-alpha) ln L for 0<alpha<1. The corresponding electronic shot
noise has a Fano factor (average noise power / average conductance) that
approaches 1/3 very slowly, with 1/ln L corrections.


title:
About a peculiar U(1): Z' discovery limit, muon anomalous magnetic
  moment and electron electric dipole moment

abstract:
  The model (Lagrangian) with a peculiar extra U(1)is clearly presented. The
assigned extra U(1) gauge charges give a strong constraint to build
Lagrangians. The Z' discovery limits are estimated and predicted at the
Tevatron and the LHC. The new contributions of the muon anomalous magnetic
moment are investigated at one and two loops, and we predict that the deviation
from the standard model may be explained. The electron electric dipole moment
could also be generated because of the explicit CP violation effect in the
Higgs sector, and a sizable contribution is expected for a moderately sized CP
phase(argument of the CP-odd Higgs).


title:
Submanifolds in space-time with unphysical extra dimensions, cosmology
  and warped brane world models

abstract:
  The explicit coordinate transformations which show the equivalence between a
four-dimensional spatially flat cosmology and an appropriate submanifold in the
flat five-dimensional Minkowski space-time are presented. Analogous procedure
is made for the case of five-dimensional warped brane world models. Several
examples are presented.


title:
Influence of phonons on the emission spectrum of a quantum dot embedded
  in a nanocavity

abstract:
  We model the emission spectrum of a quantum dot embedded in a (e.g. photonic
crystal) nanocavity, using a semi-classical approach to describe the
matter-field interaction. We start from the simple model of a quantum dot as a
two-level system, and recover the result expected from cavity quantum
electrodynamics. Then, we study the influence of electron-acoustic-phonons
interaction. We show that the surrounding semiconductor plays an essential role
in the emission spectrum in strong coupling.


title: Isovector response and energy-weighted sums in hot nuclei

abstract:
  We investigate the collective response function and the energy-weighted sums
(EWS) $m_k$ for isovector mode in hot nuclei. The approach is based on the
collisional kinetic theory and takes into consideration the temperature and the
relaxation effects. We have evaluated the temperature dependence of the
adiabatic, $E_1=\sqrt{m_1/m_{-1}}$, and scaling, $E_3=\sqrt{m_3/m_1}$, energy
centroids of the isovector giant dipole resonances (IVGDR). The centroid energy
$E_3$ is significantly influenced by the Fermi surface distortion effects and,
in contrast to the isoscalar mode, shows much weaker variation with
temperature. Taking into account a connection between the isovector sound mode
and the corresponding surface vibrations we have established the $A$-dependence
of the IVGDR centroid energy which is in a good agreement with experimental
data. We have shown that the enhancement factor for the "model independent" sum
$m_1$ is only slightly sensitive to the temperature change.


title: On The Negative K-Theory of Schemes in Finite Characteristic

abstract:
  We study the negative $K$-theory of singular varieties over a field of
positive characteristic and in particular, prove the vanishing of $K_i(X)$ for
$i < -d-2$ for a $k$-variety of dimension $d$.


title:
Emission and Absorption of Light by Hot Electrons in Multivalley
  Semiconductors (TERAHERTZ Range)

abstract:
  The angular dependences of the spontaneous emission by hot electrons in
multivalley semiconductors are studied theoretically and experimentally using
$n$-Ge as an example. We demonstrate that the change in the scattering
mechanism caused by the growth of electron temperature can affect the angular
scattering dependence. In the case when the heating field is applied along the
symmetry axis of the crystal [for $n$-Ge it is the axis (1,0,0,)], the angular
dependence of the emission was observed experimentally for the first time, and
the corresponding theory is proposed. When electrons have identical
concentration and temperature in every valley, the angular dependence of
emission is shown to be related to the violation of symmetry of the energy
distribution of electrons (from the theoretical viewpoint, this effect means
going beyond the scope of the traditional diffusion approximation).


title: Model for Laws of Nature with Miracles

abstract:
  We review a work by M.Ninomiya and myself about a model for the initial state
- i.e. which solution to the equations of motions - that is being realized. The
to be realized solution is suggeted to be the one for which a certain number
depending on the whole history of the development of the whole Unverse is
minimal. This number is called "the imaginary part of the action" and since
this article is meant to be somewhat popular the concept of an action is
suggestively explained. At first the model of ours give too many miracles, but
we believe to have argued that the number of miracles is drastically reduced so
the model is not immediately excluded from having a chance of being true. A
suggested miracle that has occured is the stopping by the US Congress of the
large accelerator SSC under construction already in Texas. A similar bad fait
is predicted for the soon to start accelerator LHC in Geneva! By translation
submission it has still not started up to its proper energy per particle.


title: Gauging non-Hermitian Hamiltonians

abstract:
  We address the problem of coupling non-Hermitian systems, treated as
fundamental rather than effective theories, to the electromagnetic field. In
such theories the observables are not the $\bs{x}$ and $\bs{p}$ appearing in
the Hamiltonian, but quantities $\bs{X}$ and $\bs{P}$ constructed by means of
the metric operator. Following the analogous procedure of gauging a global
symmetry in Hermitian quantum mechanics we find that the corresponding gauge
transformation in $\bs{X}$ implies minimal substitution in the form $\bs{P}\to
\bs{P} - e\bs{A}(\bs{X})$. We discuss how the relevant matrix elements
governing electromagnetic transitions may be calculated in the special case of
the Swanson Hamiltonian, where the equivalent Hermitian Hamiltonian $h$ is
local, and in the more generic example of the imaginary cubic interaction,
where $H$ is local but $h$ is not.


title: Irrational constants in positronium decays

abstract:
  We establish irrational constants, that contribute to the positronium
lifetime at $O(\alpha)$ and $O(\alpha^2)$ order. In particular we show, that a
new type of constants appear, which are not related to Euler--Zagier sums or
multiple $\zeta$ values.


title:
Macroscopic Expression Connecting the Rate of Energy Dissipation and
  Violation of the Fluctuation-Response Relation

abstract:
  A direct connection between the magnitude of the violation of the
fluctuation-response relation (FRR) and the rate of energy dissipation is
presented in terms of field variables of nonequilibrium systems. Here, we
consider the density field of a colloidal suspension either in a relaxation
process or in a nonequilibrium steady state driven by an external field. Using
a path-integral representation of the temporal evolution of the density field,
we find an equality that relates the magnitude of the violation of the FRR for
scalar and vector potentials of the velocity field to the rate of energy
dissipation for the entire system. Our result demonstrates that the violation
of the FRR for field variables captures the entropic component of the
dissipated free energy.


title: Greedy Polyominoes and first-passage times on random Voronoi tilings

abstract:
  Let N be distributed as a Poisson random set on R^d with intensity comparable
to the Lebesgue measure. Consider the Voronoi tiling of R^d, (C_v)_{v\in N},
where C_v is composed by points x in R^d that are closer to v than to any other
v' in N. A polyomino P of size n is a connected union (in the usual R^d
topological sense) of n tiles, and we denote by Pi_n the collection of all
polyominos P of size n containing the origin. Assume that the weight of a
Voronoi tile C_v is given by F(C_v), where F is a nonnegative functional on
Voronoi tiles. In this paper we investigate the tail behavior of the maximal
weight among polyominoes in Pi_n for some functionals F, mainly when F(C_v) is
the number of faces of C_v. Next we apply our results to study self-avoiding
paths, first-passage percolation models and the stabbing number on the dual
graph, named the Delaunay triangulation. As the main application we show that
first passage percolation has at most linear variance.


title: Representations and characterizations of polynomial functions on chains

abstract:
  We are interested in representations and characterizations of lattice
polynomial functions f:L^n -> L, where L is a given bounded distributive
lattice. In companion papers [arXiv 0901.4888, arXiv 0808.2619], we
investigated certain representations and provided various characterizations of
these functions both as solutions of certain functional equations and in terms
of necessary and sufficient conditions. In the present paper, we investigate
these representations and characterizations in the special case when L is a
chain, i.e., a totally ordered lattice. More precisely, we discuss
representations of lattice polynomial functions given in terms of standard
simplices and we present new axiomatizations of these functions by relaxing
some of the conditions given in [arXiv 0901.4888, arXiv 0808.2619] and by
considering further conditions, namely comonotonic minitivity and maxitivity.


title:
Edhibou: a Customizable Interface for Decision Support in a Semantic
  Portal

abstract:
  The Semantic Web is becoming more and more a reality, as the required
technologies have reached an appropriate level of maturity. However, at this
stage, it is important to provide tools facilitating the use and deployment of
these technologies by end-users. In this paper, we describe EdHibou, an
automatically generated, ontology-based graphical user interface that
integrates in a semantic portal. The particularity of EdHibou is that it makes
use of OWL reasoning capabilities to provide intelligent features, such as
decision support, upon the underlying ontology. We present an application of
EdHibou to medical decision support based on a formalization of clinical
guidelines in OWL and show how it can be customized thanks to an ontology of
graphical components.