title:
Super-Poissonian Shot Noise as a Measure of Dephasing in Closed Quantum
  Dots

abstract:
  Electron-electron interactions play a major role in determining the
low-temperature rate of phase loss of electrons in mesoscopic systems. The
study of the dephasing rate is expected to contribute to the understanding of
the many-body nature of such systems. Closed quantum dots are of special
interest in this respect, due to theoretical predictions suggesting a possible
transition temperature below which the dephasing rate vanishes. This prediction
has attracted much attention, since closed quantum dots are prime candidates
for storage units in quantum computers, and thus their phase coherence
properties are of great importance. However, an effective method for measuring
the dephasing rate within a closed quantum dot is still lacking. Here we study
two-level systems and show that the Fano factor has a sharp peak as a function
of the chemical potential, the location of which can be simply related to the
dephasing rate. We thus suggest to use the properties of the Fano factor peak
in the super-Poissonian regime as a probe for the dephasing rate.


title: Motion-reversal in a simple microscopic swimmer

abstract:
  We study the motion of a microscopic swimmer composed of a semiflexible
polymer anchored at the surface of a magnetic sphere using hydrodynamic
simulations and scaling arguments. The swimmer is driven by a rotating magnetic
field, and displays forward and backward motion depending on the value of the
rotational frequency. In particular, the system exhibits forward thrust for
frequencies below a critical frequency $\omega^*$, while above $\omega^*$ the
motion is reversed.


title: Dynamics of uniaxial hard ellipsoids

abstract:
  We study the dynamics of monodisperse hard ellipsoids via a new event-driven
molecular dynamics algorithm as a function of volume fraction $\phi$ and aspect
ratio $X_0$. We evaluate the translational $D_{trans}$ and the rotational
$D_{rot}$ diffusion coefficient and the associated isodiffusivity lines in the
$\phi-X_0$ plane. We observe a decoupling of the translational and rotational
dynamics which generates an almost perpendicular crossing of the $D_{trans}$
and $D_{rot}$ isodiffusivity lines. While the self intermediate scattering
function exhibits stretched relaxation, i.e. glassy dynamics, only for large
$\phi$ and $X_0 \approx 1$, the second order orientational correlator $C_2(t)$
shows stretching only for large and small $X_0$ values. We discuss these
findings in the context of a possible pre-nematic order driven glass
transition.


title: Hidden Symmetries of Stochastic Models

abstract:
  In the matrix product states approach to $n$ species diffusion processes the
stationary probability distribution is expressed as a matrix product state with
respect to a quadratic algebra determined by the dynamics of the process. The
quadratic algebra defines a noncommutative space with a $SU_q(n)$ quantum group
action as its symmetry. Boundary processes amount to the appearance of
parameter dependent linear terms in the algebraic relations and lead to a
reduction of the $SU_q(n)$ symmetry. We argue that the boundary operators of
the asymmetric simple exclusion process generate a tridiagonal algebra whose
irriducible representations are expressed in terms of the Askey-Wilson
polynomials. The Askey-Wilson algebra arises as a symmetry of the boundary
problem and allows to solve the model exactly.

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


title: Collisions between equal sized ice grain agglomerates

abstract:
  Following the recent insight in the material structure of comets,
protoplanetesimals are assumed to have low densities and to be highly porous
agglomerates. It is still unclear if planetesimals can be formed from these
objects by collisional growth. Therefore, it is important to study numerically
the collisional outcome from low velocity impacts of equal sized porous
agglomerates which are too large to be examined in a laboratory experiment. We
use the Lagrangian particle method Smooth Particle Hydrodynamics to solve the
equations that describe the dynamics of elastic and plastic bodies.
Additionally, to account for the influence of porosity, we follow a previous
developed equation of state and certain relations between the material strength
and the relative density. Collisional growth seems possible for rather low
collision velocities and particular material strengths. The remnants of
collisions with impact parameters that are larger than 50% of the radius of the
colliding objects tend to rotate. For small impact parameters, the colliding
objects are effectively slowed down without a prominent compaction of the
porous structure, which probably increases the possibility for growth. The
protoplanetesimals, however, do not stick together for the most part of the
employed material strengths. An important issue in subsequent studies has to be
the influence of rotation to collisional growth. Moreover, for realistic
simulations of protoplanetesimals it is crucial to know the correct material
parameters in more detail.


title: Noise characteristics of 3D time-of-flight cameras

abstract:
  Time-of-flight (TOF) cameras are based on a new technology that delivers
distance maps by the use of a modulated light source. In this paper we first
describe a set of experiments that we performed with TOF cameras. We then
propose a noise model which is able to explain some of the phenomena observed
in the experiments. The model is based on assuming a noise source that is
correlated with the light source (shot noise) and an additional additive noise
source (dark current noise). The model predicts well the dependency of the
distance errors on the image intensity and the true distance at an individual
pixel.


title:
Hydrodynamical simulation of detonations in superbursts. I. The
  hydrodynamical algorithm and some preliminary one-dimensional results

abstract:
  Aims. This work presents a new hydrodynamical algorithm to study
astrophysical detonations. A prime motivation of this development is the
description of a carbon detonation in conditions relevant to superbursts, which
are thought to result from the propagation of a detonation front around the
surface of a neutron star in the carbon layer underlying the atmosphere.
Methods. The algorithm we have developed is a finite-volume method inspired by
the original MUSCL scheme of van Leer (1979). The algorithm is of second-order
in the smooth part of the flow and avoids dimensional splitting. It is applied
to some test cases, and the time-dependent results are compared to the
corresponding steady state solution. Results. Our algorithm proves to be robust
to test cases, and is considered to be reliably applicable to astrophysical
detonations. The preliminary one-dimensional calculations we have performed
demonstrate that the carbon detonation at the surface of a neutron star is a
multiscale phenomenon. The length scale of liberation of energy is $10^6$ times
smaller than the total reaction length. We show that a multi-resolution
approach can be used to solve all the reaction lengths. This result will be
very useful in future multi-dimensional simulations. We present also
thermodynamical and composition profiles after the passage of a detonation in a
pure carbon or mixed carbon-iron layer, in thermodynamical conditions relevant
to superbursts in pure helium accretor systems.


title:
Generic Gravitational Wave Signals from the Collapse of Rotating Stellar
  Cores: A Detailed Analysis

abstract:
  We present detailed results from performing general relativistic (GR)
simulations of stellar core collapse to a proto-neutron star, using a
microphysical equation of state (EoS) as well as an approximate description of
deleptonization during the collapse phase. We show that for a wide variety of
rotation rates and profiles the gravitational wave (GW) burst signals from the
core bounce are of a generic type, already known as Type I in the literature.
In addition, for most models the characteristic frequency of the GW burst
signal lies in a narrow range around approximately 718 Hz. In our systematic
study, using both GR and Newtonian gravity, we identify, individually quantify,
and discuss in detail the micro- and macrophysical mechanisms leading to this
result, i.e. the effects of rotation, the EoS, and deleptonization. We also
discuss the detectability prospects of such GW burst signals by GW detectors,
and infer that such a generic type of signal templates will likely facilitate a
more efficient search in current and future detectors of both interferometric
and resonant type.


title: Observe the open universe in the sky?

abstract:
  We first review the related works on the observable consequence of landscape
and the regulation of e-foldings during inflation. We focus on a branch of
observable consequence of landscape which predicts an open universe with
negative curvature if e-foldings $N>62$. After discussing the observable
regulation from the aspect by Kaloper, Kleban and Sorbo, we make an argument
that in the non-flat background the observable $N$ is suppressed by a factor
$k/\rho_{0}$. We point out that this seems to detect the information where
e-foldings $N>62$ possibly. Finally, we discuss our outcomes with the recent
work by Arkani-Hamed et al.


title: On Asymptotic Proximity of Distributions

abstract:
  We consider some general facts concerning convergence P_{n}-Q_{n}\to 0 as
n\to \infty, where P_{n} and Q_{n} are probability measures in a complete
separable metric space. The main point is that the sequences {P_{n}} and
{Q_{n}} are not assumed to be tight. We compare different possible definitions
of the above convergence, and establish some general properties.


title:
Nobeyama CO Atlas of Nearby Spiral Galaxies: Distribution of Molecular
  Gas in Barred and Non-barred Spiral Galaxies

abstract:
  The data from a CO(1 - 0) mapping survey of 40 nearby spiral galaxies
performed with the Nobeyama 45-m telescope are presented. The criteria of the
sample selection were (1) RC3 morphological type in the range Sa to Scd, (2)
distance less than 25 Mpc, (3) inclination angle less than 79deg (RC3), (4)
flux at 100 um higher than ~ 10 Jy, (5) spiral structure is not destroyed by
interaction. The maps of CO cover most of the optical disk of the galaxies. We
investigated the influence of bar on the distribution of molecular gas in
spiral galaxies using these data. We confirmed that the degree of central
concentration is higher in barred spirals than in non-barred spirals as shown
by the previous works. Furthermore, we present an observational evidence that
bars are efficient in driving molecular gas that lies within the bar length
toward the center, while the role in bringing gas in from the outer parts of
the disks is small. The transported gas accounts for about half of molecular
gas within the central region in barred spiral galaxies. We found a correlation
between the degree of central concentration and bar strength. Galaxies with
stronger bars tend to have higher central concentration. The correlation
implies that stronger bars accumulate molecular gas toward the center more
efficiently. These results are consistent with long-lived bars.


title: Synthetic properties of bright metal-poor variables. II. BL Her stars

abstract:
  We investigate the properties of the so-called BL Her stars, i.e., Population
II Cepheids with periods shorter than 8 days, using updated pulsation models
and evolutionary tracks computed adopting a metal abundance in the range of
Z=0.0001 to Z=0.004. We derive the predicted Period-Magnitude (PM) and
Period-Wesenheit (PW) relations at the various photometric bands and we show
that the slopes of these relations are in good agreement with the slopes
determined by observed variables in Galactic globular clusters, independently
of the adopted M_V(RR)-[Fe/H] relation to get the cluster RR Lyrae-based
distance. Moreover, we show that also the distances provided by the predicted
PM and PW relations for BL Her stars agree within the errors with the RR Lyrae
based values. The use of the predicted relations with W Vir stars, which are
Population II Cepheids with periods longer than 8 days, provides no clear
evidence for or against a change in the PM and PW slopes around P~10 days.


title: Complex fermion mass term, regularization and CP violation

abstract:
  It is well known that the CP violating theta term of QCD can be converted to
a phase in the quark mass term. However, a theory with a complex mass term for
quarks can be regularized so as not to violate CP, for example through a zeta
function. The contradiction is resolved through the recognition of a dependence
on the regularization or measure. The appropriate choice of regularization is
discussed and implications for the strong CP problem are pointed out.


title: On Z-graded loop Lie algebras, loop groups, and Toda equations

abstract:
  Toda equations associated with twisted loop groups are considered. Such
equations are specified by Z-gradations of the corresponding twisted loop Lie
algebras. The classification of Toda equations related to twisted loop Lie
algebras with integrable Z-gradations is discussed.


title: Phase Transition of Electrically Charged Ricci-flat Black Holes

abstract:
  We study phase transition between electrically charged Ricci-flat black holes
and AdS soliton spacetime of Horowitz and Myers in five dimensions. Boundary
topology for both of them is $S^1 \times S^1 \times R^2$. We consider
Reissner-Nordstrom black hole and R-charged black holes and find that phase
transition of these black holes to AdS soliton spacetime depends on the
relative size of two boundary circles. We also perform the stability analysis
for these black holes. In order to use the AdS/CFT correspondence, we work in
the grand canonical ensemble.


title: Stellar configurations in f(R) theories of gravity

abstract:
  We study stellar configurations and the space-time around them in metric
$f(R)$ theories of gravity. In particular, we focus on the polytropic model of
the Sun in the $f(R)=R-\mu^4/R$ model. We show how the stellar configuration in
the $f(R)$ theory can, by appropriate initial conditions, be selected to be
equal to that described by the Lane-Emden -equation and how a simple scaling
relation exists between the solutions. We also derive the correct solution
analytically near the center of the star in $f(R)$ theory. Previous analytical
and numerical results are confirmed, indicating that the space-time around the
Sun is incompatible with Solar System constraints on the properties of gravity.
Numerical work shows that stellar configurations, with a regular metric at the
center, lead to $\gamma_{PPN}\simeq1/2$ outside the star ie. the
Schwarzschild-de Sitter -space-time is not the correct vacuum solution for such
configurations. Conversely, by selecting the Schwarzschild-de Sitter -metric as
the outside solution, we find that the stellar configuration is unchanged but
the metric is irregular at the center. The possibility of constructing a $f(R)$
theory compatible with the Solar System experiments and possible new
constraints arising from the radius-mass -relation of stellar objects is
discussed.


title: Superfluid to Mott-insulator transition in Bose-Hubbard models

abstract:
  We study the superfluid-insulator transition in Bose-Hubbard models in one-,
two-, and three-dimensional cubic lattices by means of a recently proposed
variational wave function. In one dimension, the variational results agree with
the expected Berezinskii-Kosterlitz-Thouless scenario of the interaction-driven
Mott transition. In two and three dimensions, we find evidences that, across
the transition,most of the spectral weight is concentrated at high energies,
suggestive of pre-formed Mott-Hubbard side-bands. This result is compatible
with the experimental data by Stoferle et al.
  [Phys. Rev. Lett. 92, 130403 (2004)].


title: Nilpotent bicone and characteristic submodule of a reductive Lie algebra

abstract:
  The nilpotent bicone of a finite dimensional complex reductive Lie algebra g
is the subset of elements in g x g whose subspace generated by the components
is contained in the nilpotent cone of g. The main result of this note is that
the nilpotent bicone is a complete intersection. This affirmatively answers a
conjecture of Kraft-Wallach concerning the nullcone. In addition, we introduce
and study the characteristic submodule of g. The properties of the nilpotent
bicone and the characteristic submodule are known to be very important for the
understanding of the commuting variety and its ideal of definition. In order to
study the nilpotent bicone, we introduce another subvariety, the principal
bicone. The nilpotent bicone, as well as the principal bicone, are linked to
jet schemes. We study their dimensions using arguments from motivic
integration. Namely, we follow methods developed in
http://arxiv.org/abs/math/0008002v5 .


title: Rational torus-equivariant homotopy I: calculating groups of stable maps

abstract:
  We construct an abelian category A(G) of sheaves over a category of closed
subgroups of the r-torus G and show it is of finite injective dimension. It can
be used as a model for rational $G$-spectra in the sense that there is a
homology theory
  \piA_*: G-spectra/Q --> A(G) on rational G-spectra with values in A(G), and
the associated Adams spectral sequence converges for all rational $G$-spectra
and collapses at a finite stage.


title:
Circle-equivariant classifying spaces and the rational equivariant sigma
  genus

abstract:
  The circle-equivariant spectrum MString_C is the equivariant analogue of the
cobordism spectrum MU<6> of stably almost complex manifolds with c_1=c_2=0.
Given a rational elliptic curve C, the second author has defined a ring
T-spectrum EC representing the associated T-equivariant elliptic cohomology.
The core of the present paper is the construction, when C is a complex elliptic
curve, of a map of ring T-spectra
  MString_C --> EC which is the rational equivariant analogue of the sigma
orientation of Ando-Hopkins-Strickland. We support this by a theory of
characteristic classes for calculation, and a conceptual description in terms
of algebraic geometry. In particular, we prove a conjecture of the first
author.


title:
Violation of the Einstein relation in Granular Fluids: the role of
  correlations

abstract:
  We study the linear response in different models of driven granular gases. In
some situations, even if the the velocity statistics can be strongly
non-Gaussian, we do not observe appreciable violations of the Einstein formula
for diffusion versus mobility. The situation changes when strong correlations
between velocities and density are present: in this case, although a form of
fluctuation-dissipation relation holds, the differential velocity response of a
particle and its velocity self-correlation are no more proportional. This
happens at high densities and strong inelasticities, but still in the
fluid-like (and ergodic) regime.


title:
Binary Search Tree insertion, the Hypoplactic insertion, and Dual Graded
  Graphs

abstract:
  Fomin (1994) introduced a notion of duality between two graded graphs on the
same set of vertices. He also introduced a generalization to dual graded graphs
of the classical Robinson-Schensted-Knuth algorithm. We show how Fomin's
approach applies to the binary search tree insertion algorithm also known as
sylvester insertion, and to the hypoplactic insertion algorithm.


title: Hot QCD equations of state and relativistic heavy ion collisions

abstract:
  We study two recently proposed equations of state (EOS) which are obtained
from high temperature QCD, and show how they can be adapted to use them for
making predictions for relativistic heavy ion collisions. The method involves
extracting equilibrium distribution functions for quarks and gluons from the
EOS, which in turn will allow a determination of the transport and other bulk
properties of the quark gluon plasma. Simultaneously, the method also yields a
quasi particle description of interacting quarks and gluons. The first EOS is
perturbative in the QCD coupling constant and has contributions of $O(g^5)$.
The second EOS is an improvement over the first, with contributions upto $
O(g^6 ln(\frac{1}{g}))$; it incorporates the nonperturbative hard thermal
contributions. The interaction effects are shown to be captured entirely by the
effective chemical potentials for the gluons and the quarks, in both the cases.
The chemical potential is seen to be highly sensitive to the EOS. As an
application, we determine the screening lengths which are, indeed the most
important diagnostics for QGP. The screening lengths are seen to behave
drastically differently depending on the EOS considered., and yield, therefore,
a way to distinguish the two equations of state in heavy ion collisions.


title:
Finite dimensional representations of DAHA and affine Springers fibers :
  the spherical case

abstract:
  We classify finite dimensional simple spherical representations of rational
double affine Hecke algebras, and we study a remarkable family of finite
dimensional simple spherical representations of double affine Hecke algebras.


title:
Constructing Dirac linear fermions in terms of non-linear Heisenberg
  spinors

abstract:
  We show that the massive (or massless) neutrinos can be described as special
states of Heisenberg nonlinear spinors. As a by-product of this decomposition a
particularly attractive consequence appears: the possibility of relating the
existence of only three species of mass-less neutrinos to such internal
non-linear structure. At the same time it allows the possibility that neutrino
oscillation can occurs even for massless neutrinos.


title:
The Black Hole Binary Nova Scorpii 1994 (GRO J1655-40): An improved
  chemical analysis

abstract:
  The chemical analysis of secondary stars of low mass X-ray binaries provides
an opportunity to study the formation processes of compact objects, either
black holes or neutron stars. Following the discovery of overabundances of
$\alpha$-elements in the HIRES/Keck spectrum of the secondary star of Nova
Scorpii 1994 (Israelian et al. 1999), we obtained UVES/VLT high-resolution
spectroscopy with the aim of performing a detailed abundance analysis of this
secondary star. Using a $\chi2$-minimization procedure and a grid of synthetic
spectra, we derive the stellar parameters and atmospheric abundances of O, Mg,
Al, Ca, Ti, Fe and Ni, using a new UVES spectrum and the HIRES spectrum.The
abundances of Al, Ca, Ti, Fe and Ni seem to be consistent with solar values,
whereas Na, and especially O, Mg, Si and S are significantly enhanced in
comparison with Galactic trends of these elements. A comparison with
spherically and non-spherically symmetric supernova explosion models may
provide stringent constraints to the model parameters as mass-cut and the
explosion energy, in particular from the relative abundances of Si, S, Ca, Ti,
Fe and Ni. Most probably the black hole in this system formed in a hypernova
explosion of a 30--35 \Msun progenitor star with a mass-cut in the range 2--3.5
\Msun. However, these models produce abundances of Al and Na almost ten times
higher than the observed values.


title: Optimal 1->M universal quantum cloning via spin networks

abstract:
  We present a scheme that transform 1 qubit to M identical copies with optimal
fidedelity via free dynamical evolution of spin star networks. We show that the
Heisenberg XXZ coupling can fulfill the challenge. The initial state of the
copying machine and the parameters of the spin Hamiltonian are discussed in
detail. Furthermore we have proposed a feasible method to prepare the initial
state of the copying machine.


title: An improved cosmological bound on the thermal axion mass

abstract:
  Relic thermal axions could play the role of an extra hot dark matter
component in cosmological structure formation theories. By combining the most
recent observational data we improve previous cosmological bounds on the axion
mass m_a in the so-called hadronic axion window. We obtain a limit on the axion
mass m_a < 0.42eV at the 95% c.l. (m_a < 0.72eV at the 99% c.l.). A novel
aspect of the analysis presented here is the inclusion of massive neutrinos and
how they may affect the bound on the axion mass. If neutrino masses belong to
an inverted hierarchy scheme, for example, the above constraint is improved to
m_a < 0.38eV at the 95% c.l. (m_a < 0.67eV at the 99% c.l.). Future data from
experiments as CAST will provide a direct test of the cosmological bound.


title: A Practical Seedless Infrared Safe Cone Algorithm

abstract:
  This writeup highlights the infrared unsafety of the "midpoint" cone
jet-algorithm and provides a brief overview of why this is a serious issue. It
then shows how one can build a safe (seedless) cone algorithm and discusses the
potential impact on measurements.


title: Unconventional superconducting pairing by conventional phonons

abstract:
  The common wisdom that the phonon mechanism of electron pairing in the
weak-coupling Bardeen-Cooper-Schrieffer (BCS) superconductors leads to
conventional s-wave Cooper pairs is revised. An inevitable anisotropy of sound
velocity in crystals makes the phonon-mediated attraction of electrons
non-local in space providing unconventional Cooper pairs with a nonzero orbital
momentum in a wide range of electron densities. As a result of this anisotropy
quasi-two dimensional charge carriers undergo a quantum phase transition from
an unconventional d-wave superconducting state to a conventional s-wave
superconductor with more carriers per unit cell. In the opposite
strong-coupling regime rotational symmetry breaking appears as a result of a
reduced Coulomb repulsion between unconventional bipolarons dismissing thereby
some constraints on unconventional pairing in the Bose-Einstein condensation
(BEC) limit. The conventional phonons, and not superexchange, are shown to be
responsible for the d-wave symmetry of cuprate superconductors, where the
on-site Coulomb repulsion is large.


title: Computed tomography image reconstruction from only two projections

abstract:
  English: This paper concerns the image reconstruction from a few projections
in Computed Tomography (CT). The main objective of this paper is to show that
the problem is so ill posed that no classical method, such as analytical
methods based on inverse Radon transform, nor the algebraic methods such as
Least squares (LS) or regularization theory can give satisfactory result. As an
example, we consider in detail the case of image reconstruction from two
horizontal and vertical projections. We then show how a particular composite
Markov modeling and the Bayesian estimation framework can possibly propose
satisfactory solutions to the problem. For demonstration and educational
purpose a set of Matlab programs are given for a live presentation of the
results.
  -----
  French: Ce travail, \`a but p\'edagogique, pr\'esente le probl\`eme inverse
de la reconstruction d'image en tomographie X lorsque le nombre des projections
est tr\`es limit\'e. voir le texte en Anglais et en Fran\c{c}ais.


title: On the Riemann zeta-function, Part II

abstract:
  An odd meromorphic function f(s) is constructed from the Riemann
zeta-function evaluated at one-half plus s. We determine the two-sided Laplace
transform representation of f(s) on open vertical strips, V'(4w), disjoint from
the (translated) critical strip. V'(4w) consists of all s with real part,
Re(s), of absolute value greater than one-half and Re(s) between successive
poles 4w, 4(w + 1) of f(s), with w an integer. The corresponding Laplace
density is related to confluent hypergeometric functions. That density is shown
to be positive for nonzero w other than -1. Those results are obtained without
relying on any unproven hypothesis. They are used together with the Riemann
hypothesis and hypotheses advanced by the author to obtain conditional results
concerning the zeta-function. Those results are presented in Part I. Their
proofs are derived in Parts III-V. A metric geometry expression of the
positivity of the Laplace densities arising is established in Part VI.


title: Prompt photons with associated jets in photoproduction at HERA

abstract:
  Prompt photons, together with an accompanying jet, have been studied in the
photoproduction regime of ep scattering with the ZEUS detector at HERA.
Predictions based on leading-logarithm parton-shower Monte Carlo models and
next-to-leading-order (NLO) QCD underestimate the gamma+jet cross sections for
transverse energies of prompt photons below 7 GeV, while the kT-factorisation
QCD calculation agrees with the data in this region.


title: Asymptotics for Duration-Driven Long Range Dependent Processes

abstract:
  We consider processes with second order long range dependence resulting from
heavy tailed durations. We refer to this phenomenon as duration-driven long
range dependence (DDLRD), as opposed to the more widely studied linear long
range dependence based on fractional differencing of an $iid$ process. We
consider in detail two specific processes having DDLRD, originally presented in
Taqqu and Levy (1986), and Parke (1999). For these processes, we obtain the
limiting distribution of suitably standardized discrete Fourier transforms
(DFTs) and sample autocovariances. At low frequencies, the standardized DFTs
converge to a stable law, as do the standardized sample autocovariances at
fixed lags. Finite collections of standardized sample autocovariances at a
fixed set of lags converge to a degenerate distribution. The standardized DFTs
at high frequencies converge to a Gaussian law. Our asymptotic results are
strikingly similar for the two DDLRD processes studied. We calibrate our
asymptotic results with a simulation study which also investigates the
properties of the semiparametric log periodogram regression estimator of the
memory parameter.


title:
Variational QMC study of a Hydrogen atom in jellium with comparison to
  LSDA and LSDA-SIC solutions

abstract:
  A Hydrogen atom immersed in a finite jellium sphere is solved using
variational quantum Monte Carlo (VQMC). The same system is also solved using
density functional theory (DFT), in both the local spin density (LSDA) and
self-interaction correction (SIC) approximations. The immersion energies
calculated using these methods, as functions of the background density of the
jellium, are found to lie within 1eV of each other with minima in approximately
the same positions. The DFT results show overbinding relative to the VQMC
result. The immersion energies also suggest an improved performance of the SIC
over the LSDA relative to the VQMC results. The atom-induced density is also
calculated and shows a difference between the methods, with a more extended
Friedel oscillation in the case of the VQMC result.


title: A conic manifold perspective of elliptic operators on graphs

abstract:
  We give a simple, explicit, sufficient condition for the existence of a
sector of minimal growth for second order regular singular differential
operators on graphs. We specifically consider operators with a singular
potential of Coulomb type and base our analysis on the theory of elliptic cone
operators.


title:
Rythmes d'activit\'e locomotrice chez deux insectes parasito\"ides
  sympatriques : Eupelmus orientalis et Eupelmus vuilleti (Hym\'enopt\`ere,
  Eupelmidae)

abstract:
  With an automatic image analysis device, we studied the temporal distribution
of the locomotor activity of E. orientalis and E. vuilleti during 24 h, and
over several days to know whether the activity rhythms of these two Eupelmidae
play a role in their competitive interactions. The analysis of locomotor
activity rhythms of E. orientalis and E. vuilleti shows that the locomotor
activity of both species presents daily cyclic variations. These two Eupelmidae
have similar activity rhythms. Displacements of these parasitoids essentially
take place during the photophase. But the activity of E. vuilleti is earlier,
because the individuals of this species start their activity on average 4 to 5
h earlier than those of E. orientalis. E. vuilleti begins its displacements
several hours before the onset of lighting, whereas E. orientalis is active
only in the presence of the light. This shift of starting activity is thus a
factor allowing these concurrent species to minimize their interactions during
the cohabitation period in traditional granaries after the harvests of cowpea.


title:
(Multi)Strangeness Production in Pb+Pb collisions at LHC. HIJING/BBar
  v2.0 predictions

abstract:
  Strangeness and multi-strangeness particles production can be used to explore
the initial transient field fluctuations in heavy ion collisions. We emphasize
the role played by Junction anti-Junction (JJbar) loops and strong color
electric fields (SCF) in these collisions. Transient field fluctuations of SCF
on the baryon production in central (0-5%) Pb+Pb collisions at nucleon-nucleon
centre of mass energy of 5.5 TeV will be discussed in the framework of
HIJING/BBbar v2.0 model, looking in particular to the predicted evolution of
nuclear modification factors R_AA from RHIC to LHC energies. Our results
indicate the importance of a good description of the baseline elementary p+p
collisions at this energy.


title:
The Interplay between Chemistry and Mechanics in the Transduction of a
  Mechanical Signal into a Biochemical Function

abstract:
  There are many processes in biology in which mechanical forces are generated.
Force-bearing networks can transduce locally developed mechanical signals very
extensively over different parts of the cell or tissues. In this article we
conduct an overview of this kind of mechanical transduction, focusing in
particular on the multiple layers of complexity displayed by the mechanisms
that control and trigger the conversion of a mechanical signal into a
biochemical function. Single molecule methodologies, through their capability
to introduce the force in studies of biological processes in which mechanical
stresses are developed, are unveiling subtle intertwining mechanisms between
chemistry and mechanics and in particular are revealing how chemistry can
control mechanics. The possibility that chemistry interplays with mechanics
should be always considered in biochemical studies.


title: Concise theory of chiral lipid membranes

abstract:
  A theory of chiral lipid membranes is proposed on the basis of a concise free
energy density which includes the contributions of the bending and the surface
tension of membranes, as well as the chirality and orientational variation of
tilting molecules. This theory is consistent with the previous experiments
[J.M. Schnur \textit{et al.}, Science \textbf{264}, 945 (1994); M.S. Spector
\textit{et al.}, Langmuir \textbf{14}, 3493 (1998); Y. Zhao, \textit{et al.},
Proc. Natl. Acad. Sci. USA \textbf{102}, 7438 (2005)] on self-assembled chiral
lipid membranes of DC$_{8,9}$PC. A torus with the ratio between its two
generated radii larger than $\sqrt{2}$ is predicted from the Euler-Lagrange
equations. It is found that tubules with helically modulated tilting state are
not admitted by the Euler-Lagrange equations, and that they are less
energetically favorable than helical ripples in tubules. The pitch angles of
helical ripples are theoretically estimated to be about 0$^\circ$ and
35$^\circ$, which are close to the most frequent values 5$^\circ$ and
28$^\circ$ observed in the experiment [N. Mahajan \textit{et al.}, Langmuir
\textbf{22}, 1973 (2006)]. Additionally, the present theory can explain twisted
ribbons of achiral cationic amphiphiles interacting with chiral tartrate
counterions. The ratio between the width and pitch of twisted ribbons is
predicted to be proportional to the relative concentration difference of left-
and right-handed enantiomers in the low relative concentration difference
region, which is in good agreement with the experiment [R. Oda \textit{et al.},
Nature (London) \textbf{399}, 566 (1999)].

categories: cond-mat.soft math-ph math.MP physics.bio-ph


title: Neutron Star Interiors and the Equation of State of Superdense Matter

abstract:
  Neutron stars contain matter in one of the densest forms found in the
Universe. This feature, together with the unprecedented progress in
observational astrophysics, makes such stars superb astrophysical laboratories
for a broad range of exciting physical studies. This paper gives an overview of
the phases of dense matter predicted to make their appearance in the cores of
neutron stars. Particular emphasis is put on the role of strangeness. Net
strangeness is carried by hyperons, K-mesons, H-dibaryons, and strange quark
matter, and may leave its mark in the masses, radii, moment of inertia,
dragging of local inertial frames, cooling behavior, surface composition, and
the spin evolution of neutron stars. These observables play a key role for the
exploration of the phase diagram of dense nuclear matter at high baryon number
density but low temperature, which is not accessible to relativistic heavy ion
collision experiments.


title:
Prospects for the search for Higgs bosons with vector boson fusion
  processes at the LHC

abstract:
  The search for the Higgs boson is one of the main physics goals of the Large
Hadron Collider (LHC) and its two multi-purpose experiments, ATLAS and CMS.
Vector boson fusion is the second largest production process for a standard
model Higgs boson at the LHC and offers excellent means for background
suppression. This paper gives an overview of the prospects of Higgs boson
searches using vector boson fusion at the LHC. For a standard model Higgs
boson, the decay channels H->tautau, H->WW and H->gammagamma are discussed. The
discovery potential in the framework of the MSSM is summarized.


title:
The potential of mass rearing of Monoksa dorsiplana (Pteromalidae) a
  native gregarious ectoparasitoid of Pseudopachymeria spinipes (Bruchidae)in
  South America

abstract:
  In Chile and Uruguay,the gregarious Pteromalidae (Monoksa dorsiplana) has
been discovered emerging from seeds of the persistent pods of Acacia caven
attacked by the univoltin bruchid Pseudopachymeria spinipes. We investigated
the potential for mass rearing of this gregarious ectoparasitoid on an
alternative bruchid host, Callosobruchus maculatus, to use it against the
bruchidae of native and cultured species of Leguminosea seeds in South America.
The mass rearing of M.dorsiplana was carried out in a population cage where the
density of egg-laying females per infested seed was increased from 1:1 on the
first day to 5:1 on the last (fifth) day. Under these experimental conditions
egg-clutch size per host increased, and at the same time the mortality of eggs
laid also increased. The density of egg-laying females influenced the sex ratio
which tended towards a balance of sons and daughters,in contrast to the sex
ratio of a single egg-laying female per host (1 son to 7 daughters). The mean
weight of adults emerging from a parasitized host was negatively correlated
with the egg-clutch size, i.e., as egg-clutch size increased, adult weight
decreased. All these results show that mass rearing of the gregarious
ectoparasitoid M.dorsiplana was possible under laboratory conditions on an
alternative bruchid host C.maculatus. As M.dorsiplana is a natural enemy of
larval and pupal stages of bruchidae, the next step was to investigate whether
the biological control of bruchid C.maculatus was possible in an experimental
structure of stored beans.


title: Shape instabilities in vesicles: a phase-field model

abstract:
  A phase field model for dealing with shape instabilities in fluid membrane
vesicles is presented. This model takes into account the Canham-Helfrich
bending energy with spontaneous curvature. A dynamic equation for the
phase-field is also derived. With this model it is possible to see the vesicle
shape deformation dynamically, when some external agent instabilizes the
membrane, for instance, inducing an inhomogeneous spontaneous curvature. The
numerical scheme used is detailed and some stationary shapes are shown together
with a shape diagram for vesicles of spherical topology and no spontaneous
curvature, in agreement with known results.


title:
A deeper X-ray study of the core of the Perseus galaxy cluster: the
  power of sound waves and the distribution of metals and cosmic rays

abstract:
  We make a further study of the very deep Chandra observation of the X-ray
brightest galaxy cluster, A426 in Perseus. We examine the radial distribution
of energy flux inferred by the quasi-concentric ripples in surface brightness,
assuming they are due to sound waves, and show that it is a significant
fraction of the energy lost by radiative cooling within the inner 75-100 kpc,
where the cooling time is 4-5 Gyr, respectively. The wave flux decreases
outward with radius, consistent with energy being dissipated. Some newly
discovered large ripples beyond 100 kpc, and a possible intact bubble at 170
kpc radius, may indicate a larger level of activity by the nucleus a few 100
Myr ago. The distribution of metals in the intracluster gas peaks at a radius
of about 40 kpc and is significantly clumpy on scales of 5 kpc. The temperature
distribution of the soft X-ray filaments and the hard X-ray emission component
found within the inner 50 kpc are analysed in detail. The pressure due to the
nonthermal electrons, responsible for a spectral component interpreted as
inverse Compton emission, is high within 40 kpc of the centre and boosts the
power in sound waves there; it drops steeply beyond 40 kpc. We find no thermal
emission from the radio bubbles; in order for any thermal gas to have a filling
factor within the bubbles exceeding 50 per cent, the temperature of that gas
has to exceed 50 keV.


title:
The Unique Type Ib Supernova 2005bf at Nebular Phases: A Possible Birth
  Event of A Strongly Magnetized Neutron Star

abstract:
  Late phase nebular spectra and photometry of Type Ib Supernova (SN) 2005bf
taken by the Subaru telescope at ~ 270 and ~ 310 days since the explosion are
presented. Emission lines ([OI]6300, 6363, [CaII]7291, 7324, [FeII]7155) show
the blueshift of ~ 1,500 - 2,000 km s-1. The [OI] doublet shows a doubly-peaked
profile. The line luminosities can be interpreted as coming from a blob or jet
containing only ~ 0.1 - 0.4 Msun, in which ~ 0.02 - 0.06 Msun is 56Ni
synthesized at the explosion. To explain the blueshift, the blob should either
be of unipolar moving at the center-of-mass velocity v ~ 2,000 - 5,000 km s-1,
or suffer from self-absorption within the ejecta as seen in SN 1990I. In both
interpretations, the low-mass blob component dominates the optical output both
at the first peak (~ 20 days) and at the late phase (~ 300 days). The low
luminosity at the late phase (the absolute R magnitude M_R ~ -10.2 mag at ~ 270
days) sets the upper limit for the mass of 56Ni < ~ 0.08 Msun, which is in
contradiction to the value necessary to explain the second, main peak
luminosity (M_R ~ -18.3 mag at ~ 40 days). Encountered by this difficulty in
the 56Ni heating model, we suggest an alternative scenario in which the heating
source is a newly born, strongly magnetized neutron star (a magnetar) with the
surface magnetic field Bmag ~ 10^{14-15} gauss and the initial spin period P0 ~
10 ms. Then, SN 2005bf could be a link between normal SNe Ib/c and an X-Ray
Flash associated SN 2006aj, connected in terms of Bmag and/or P0.


title: Log Fano varieties over function fields of curves

abstract:
  Consider a smooth log Fano variety over the function field of a curve.
Suppose that the boundary has positive normal bundle. Choose an integral model
over the curve. Then integral points are Zariski dense, after removing an
explicit finite set of points on the base curve.


title: Differential systems associated with tableaux over Lie algebras

abstract:
  We give an account of the construction of exterior differential systems based
on the notion of tableaux over Lie algebras as developed in [Comm. Anal. Geom
14 (2006), 475-496; math.DG/0412169]. The definition of a tableau over a Lie
algebra is revisited and extended in the light of the formalism of the Spencer
cohomology; the question of involutiveness for the associated systems and their
prolongations is addressed; examples are discussed.


title:
Factorization of the finite temperature correlation functions of the XXZ
  chain in a magnetic field

abstract:
  We present a conjecture for the density matrix of a finite segment of the XXZ
chain coupled to a heat bath and to a constant longitudinal magnetic field. It
states that the inhomogeneous density matrix, conceived as a map which
associates with every local operator its thermal expectation value, can be
written as the trace of the exponential of an operator constructed from
weighted traces of the elements of certain monodromy matrices related to $U_q
(\hat{\mathfrak{sl}}_2)$ and only two transcendental functions pertaining to
the one-point function and the neighbour correlators, respectively. Our
conjecture implies that all static correlation functions of the XXZ chain are
polynomials in these two functions and their derivatives with coefficients of
purely algebraic origin.


title: The ACS LCID Project: data reduction strategy

abstract:
  During Cycle 14 a total of 113 HST orbits were secured to observe five
isolated dwarf galaxies, namely Tucana, LGS3, LeoA, IC1613, and Cetus. The aim
of the project is a full characterization of the stellar content of these
galaxies, in term of their SFH, radial distributions, halo populations and
variable stars. Deep (V~29) F475W, F814W data allowed us to fully sample all
the evolutionary phases from the tip of the Red Giant Branch (RGB) to well
below the old Main Sequence Turnoff (MSTO). Here we describe the observational
design, and the reduction and calibration strategy adopted. A comparison of the
results obtained using two different packages, ALLFRAME and Dolphot, is
presented.


title: Coulomb gauge Gribov copies and the confining potential

abstract:
  We study the approach, initiated by Marinari et al., to the static
inter-quark potential based on Polyakov lines of finite temporal extent,
evaluated in Coulomb gauge. We show that, at small spatial separations, the
potential can be understood as being between two separately gauge invariant
colour charges. At larger separations Gribov copies obstruct the
non-perturbative identification of individually gauge invariant colour states.
We demonstrate, for the first time, how gauge invariance can be maintained
quite generally by averaging over Gribov copies. This allows us to extend the
analysis of the Polyakov lines and the corresponding, gauge invariant
quark-antiquark state to all distance scales. Using large scale lattice
simulations, we show that this interpolating state possesses a good overlap
with the ground state in the quark-antiquark sector and yields the full static
inter-quark potential at all distances. A visual representation of the Gribov
copies on the lattice is also presented.


title: The ACS LCID Project: overview and first results

abstract:
  The star formation history (SFH) of Local Group galaxies is a powerful tool
for studying their evolution, including chemical enrichment histories and
stellar population gradients, which in turn may shed light on the role of
reionization or Supernovae feedback in galaxy formation and evolution. In
particular, isolated dwarfs are ideal laboratories since their evolution has
not been complicated by the vicinity of giant galaxies. In this paper, we
present the project Local Cosmology from Isolated Dwarfs (LCID), aimed at
deriving detailed SFHs for a sample of Local Group isolated dwarf galaxies. To
accomplish this goal we have collected, using the ACS on board the HST,
color-magnitude diagrams (CMD) reaching their oldest main sequence turnoff
(V~28 or M_V~+3.5) with good photometric accuracy. Some preliminary results
from the CMDs are shown and briefly discussed.


title:
Inverse problems in imaging systems and the general Bayesian inversion
  frawework

abstract:
  In this paper, first a great number of inverse problems which arise in
instrumentation, in computer imaging systems and in computer vision are
presented. Then a common general forward modeling for them is given and the
corresponding inversion problem is presented. Then, after showing the
inadequacy of the classical analytical and least square methods for these ill
posed inverse problems, a Bayesian estimation framework is presented which can
handle, in a coherent way, all these problems. One of the main steps, in
Bayesian inversion framework is the prior modeling of the unknowns. For this
reason, a great number of such models and in particular the compound hidden
Markov models are presented. Then, the main computational tools of the Bayesian
estimation are briefly presented. Finally, some particular cases are studied in
detail and new results are presented.


title: Scaling and correlations in the dynamics of forest-fire occurrence

abstract:
  Forest-fire waiting times, defined as the time between successive events
above a certain size in a given region, are calculated for Italy. The
probability densities of the waiting times are found to verify a scaling law,
despite that fact that the distribution of fire sizes is not a power law. The
meaning of such behavior in terms of the possible self-similarity of the
process in a nonstationary system is discussed. We find that the scaling law
arises as a consequence of the stationarity of fire sizes and the existence of
a non-trivial ``instantaneous'' scaling law, sustained by the correlations of
the process.


title: South-West extension of the hard X-ray emission from the Coma cluster

abstract:
  We explore the morphology of hard (18-30 keV) X-ray emission from the Coma
cluster of galaxies. We analyze a deep (1.1 Ms) observation of the Coma cluster
with the ISGRI imager on board the \emph{INTEGRAL} satellite. We show that the
source extension in the North-East to South-West (SW) direction ($\sim 17'$)
significantly exceeds the size of the point spread function of ISGRI, and that
the centroid of the image of the source in the 18-30 keV band is displaced in
the SW direction compared to the centroid in the 1-10 keV band. To test the
nature of the SW extension we fit the data assuming different models of source
morphology. The best fit is achieved with a diffuse source of elliptical shape,
although an acceptable fit can be achieved assuming an additional point source
SW of the cluster core. In the case of an elliptical source, the direction of
extension of the source coincides with the direction toward the subcluster
falling onto the Coma cluster. If the SW excess is due to the presence of a
point source with a hard spectrum, we show that there is no obvious X-ray
counterpart for this additional source, and that the closest X-ray source is
the quasar EXO 1256+281, which is located $6.1'$ from the centroid of the
excess. The observed morphology of the hard X-ray emission clarifies the nature
of the hard X-ray "excess" emission from the Coma cluster, which is due to the
presence of an extended hard X-ray source SW of the cluster core.


title: A new antisymmetric bilinear map for type-I gauge theories

abstract:
  In the case of gauge theories, which are ruled by an infinite-dimensional
invariance group, various choices of antisymmetric bilinear maps on field
functionals are indeed available. This paper proves first that, within this
broad framework, the Peierls map (not yet the bracket) is a member of a larger
family. At that stage, restriction to gauge-invariant functionals of the
fields, with the associated Ward identities and geometric structure of the
space of histories, make it possible to prove that the new map is indeed a
Poisson bracket in the simple but relevant case of Maxwell theory. The building
blocks are available for gauge theories only: vector fields that leave the
action functional invariant; the invertible gauge-field operator, and the Green
function of the ghost operator.


title: Self-affirmation model for football goal distributions

abstract:
  Analyzing football score data with statistical techniques, we investigate how
the highly co-operative nature of the game is reflected in averaged properties
such as the distributions of scored goals for the home and away teams. It turns
out that in particular the tails of the distributions are not well described by
independent Bernoulli trials, but rather well modeled by negative binomial or
generalized extreme value distributions. To understand this behavior from first
principles, we suggest to modify the Bernoulli random process to include a
simple component of self-affirmation which seems to describe the data
surprisingly well and allows to interpret the observed deviation from Gaussian
statistics. The phenomenological distributions used before can be understood as
special cases within this framework. We analyzed historical football score data
from many leagues in Europe as well as from international tournaments and found
the proposed models to be applicable rather universally. In particular, here we
compare men's and women's leagues and the separate German leagues during the
cold war times and find some remarkable differences.


title: Genus-Zero Two-Point Hyperplane Integrals in the Gromov-Witten Theory

abstract:
  In this paper we compute certain two-point integrals over a moduli space of
stable maps into projective space. Computation of one-point analogues of these
integrals constitutes a proof of mirror symmetry for genus-zero one-point
Gromov-Witten invariants of projective hypersurfaces. The integrals computed in
this paper constitute a significant portion in the proof of mirror symmetry for
genus-one GW-invariants completed in a separate paper. These integrals also
provide explicit mirror formulas for genus-zero two-point GW-invariants of
projective hypersurfaces. The approach described in this paper leads to a
reconstruction algorithm for all genus-zero GW-invariants of projective
hypersurfaces.


title:
The effects of spatially distributed ionisation sources on the
  temperature structure of HII region

abstract:
  Spatially resolved studies of star forming regions show that the assumption
of spherical geometry is not realistic in most cases, with a major complication
posed by the gas being ionised by multiple non-centrally located stars or star
clusters. We try to isolate the effects of multiple non-centrally located stars
on the temperature and ionisation structure of HII regions, via the
construction of 3D photoionisation models using the 3D Monte Carlo
photoionisation code MOCASSIN. We find that the true temperature fluctuations
due to the stellar distribution (as opposed to the large-scale temperature
gradients due to other gas properties) are small in all cases and not a
significant cause of error in metallicity studies. Strong emission lines from
HII regions are often used to study the metallicity of star-forming regions. We
compare integrated emission line spectra from our models and quantify any
systematic errors caused by the simplifying assumption of a single, central
location for all ionising sources. We find that the dependence of the
metallicity indicators on the ionisation parameter causes a clear bias, due to
the fact that models with a fully distributed configuration of stars always
display lower ionisation parameters than their fully concentrated counterparts.
The errors found imply that the geometrical distribution of ionisation sources
may partly account for the large scatter in metallicities derived using
model-calibrated empirical methods.


title:
Coherent defect-assisted multiphonon intraband carrier relaxation in
  semiconductor quantum dots

abstract:
  new defect-assisted mechanism of multiphonon intraband carrier relaxation in
semiconductor quantum dots, where the carrier is found in a coherent
superposition of the initial, final, and defect states, is proposed. It is
shown that this mechanism is capable of explaining the observed trends in
temperature dependences of the intraband relaxation rates for PbSe and CdSe
colloidal nanocrystal quantum dots.


title: Vibrational Coherences in Nano-Elastic Tunneling

abstract:
  Charging a nano-scale oscillator by single electron tunneling leads to an
effective double-well potential due to image charges. We combine exact
numerical diagonalizations with generalized Master equations and show that the
resulting quantum tunneling of the mechanical degree of freedom can be
visualized in the electronic current noise spectrum.


title: Tunneling of a composite particle: Effects of intrinsic structure

abstract:
  We consider simple models of tunneling of an object with intrinsic degrees of
freedom. This important problem was not extensively studied until now, in spite
of numerous applications in various areas of physics and astrophysics. We show
possibilities of enhancement for the probability of tunneling due to the
presence of intrinsic degrees of freedom split by weak external fields or by
polarizability of the slow composite object.


title: Cyclic Universe and Infinite Past

abstract:
  We address two questions about the past for infinitely cyclic cosmology. The
first is whether it can contain an infinite length null geodesic into the past
in view of the Borde-Guth-Vilenkin (BGV) "no-go" theorem, The second is
whether, given that a small fraction of spawned universes fail to cycle, there
is an adequate probability for a successful universe after an infinite time. We
give positive answers to both questions then show that in infinite cyclicity
the total number of universes has been infinite for an arbitrarily long time.


title: Fold maps and immersions from the viewpoint of cobordism

abstract:
  We obtain complete geometric invariants of cobordism classes of oriented
simple fold maps of (n+1)-dimensional manifolds into an n-dimensional manifold
N in terms of immersions with prescribed normal bundles. We compute that this
cobordism group of simple fold maps is isomorphic to the direct sum of the
(n-1)th stable homotopy group of spheres and the (n-1)th stable homotopy group
of the infinite dimensional projective space. By using geometric invariants
defined in the author's earlier works, we also describe the natural map of the
simple fold cobordism group to the fold cobordism group by natural
homomorphisms between cobordism groups of immersions. We also compute the ranks
of the oriented (right-left) bordism groups of simple fold maps.


title: Quantum phases of bosons in double-well optical lattices

abstract:
  We study the superfluid to Mott insulator transition of bosons in a
two-legged ladder optical lattice, of a type accessible in current experiments
on double-well optical lattices. The zero-temperature phase diagram is mapped
out, with a focus on its dependence upon interchain hopping and the tilt
between double wells. We find that the unit-filling Mott phase exhibits a
non-monotonic behavior as a function of the tilt parameter, producing a
reentrant phase transition between Mott insulator and superfluid phases.


title:
Entropy of the Randall-Sundrum black brane world to all orders in the
  Planck length

abstract:
  We study the effects, to all orders in the Planck length from a generalized
uncertainty principle (GUP), on the statistical entropy of massive scalar bulk
fields in the Randall-Sundrum black brane world. We show that the
Bekenstein-Hawking area law is not preserved, and contains small corrections
terms proportional to the black hole inverse area.


title: Real Zeros and Partitions without singleton blocks

abstract:
  We prove that the generating polynomials of partitions of an $n$-element set
into non-singleton blocks, counted by the number of blocks, have real roots
only and we study the asymptotic behavior of the leftmost roots. We apply this
information to find the most likely number of blocks.


title: Rigidity of pseudo-Anosov flows transverse to R-covered foliations

abstract:
  A foliation is R-covered if the leaf space in the universal cover is
homeomorphic to the real numbers. We show that, up to topological conjugacy,
there are at most two pseudo-Anosov flows transverse to such a foliation. If
there are two, then the foliation is weakly conjugate to the the stable
foliation of an R-covered Anosov flow. The proof uses the universal circle to
R-covered foliations.


title: Radio Polarimetry of the ELAIS N1 Field: Polarized Compact Sources

abstract:
  We present deep polarimetric observations at 1420 MHz of the European Large
Area ISO Survey North 1 region (ELAIS N1) as part of the Dominion Radio
Astrophysical Observatory Planck Deep Fields project. By combining closely
spaced aperture synthesis fields, we image a region of 7.43 square degrees to a
maximum sensitivity in Stokes Q and U of 78 microJy/beam, and detect 786
compact sources in Stokes I. Of these, 83 exhibit polarized emission. We find
that the differential source counts (log N - log p) for polarized sources are
nearly constant down to p > 500 microJy, and that these faint polarized radio
sources are more highly polarized than the strong source population. The median
fractional polarization is (4.8 +/- 0.7)% for polarized sources with Stokes I
flux density between 1 and 30 mJy; approximately three times larger than
sources with I > 100 mJy. The majority of the polarized sources have been
identified with galaxies in the Spitzer Wide Area Infrared Extragalactic Survey
(SWIRE) image of ELAIS N1. Most of the galaxies occupy regions in the IRAC
5.8/3.6 micron vs. 8.0/4.5 micron color-color diagram associated with dusty
AGNs, or with ellipticals with an aging stellar population. A few host galaxies
have colors that suggests significant PAH emission in the near-infrared. A
small fraction, 12%, of the polarized sources are not detected in the SWIRE
data. None of the polarized sources in our sample appears to be associated with
an actively star-forming galaxy.


title:
Particle Motion in Rapidly Oscillating Potentials: The Role of the
  Potential's Initial Phase

abstract:
  Rapidly oscillating potentials with a vanishing time average have been used
for a long time to trap charged particles in source-free regions. It has been
argued that the motion of a particle in such a potential can be approximately
described by a time independent effective potential, which does not depend upon
the initial phase of the oscillating potential. However, here we show that the
motion of a particle and its trapping condition significantly depend upon this
initial phase for arbitrarily high frequencies of the potential's oscillation.
We explain this novel phenomenon by showing that the motion of a particle is
determined by the effective potential stated in the literature only if its
initial conditions are transformed according to a transformation which we show
to significantly depend on the potential's initial phase for arbitrarily high
frequencies. We confirm our theoretical findings by numerical simulations.
Further, we demonstrate that the found phenomenon offers new ways to manipulate
the dynamics of particles which are trapped by rapidly oscillating potentials.
Finally, we propose a simple experiment to verify the theoretical findings of
this work.


title: Magnetoresistance due to edge spin accumulation

abstract:
  Because of spin-orbit interaction, an electrical current is accompanied by a
spin current resulting in spin accumulation near the sample edges. Due again to
spin-orbit interaction this causes a small decrease of the sample resistance.
An applied magnetic field will destroy the edge spin polarization leading to a
positive magnetoresistance. This effect provides means to study spin
accumulation by electrical measurements. The origin and the general properties
of the phenomenological equations describing coupling between charge and spin
currents are also discussed.


title: Generalized functions as sequence spaces with ultranorms

abstract:
  We review our recent formulation of Colombeau type algebras as Hausdorff
sequence spaces with ultranorms, defined by sequences of exponential weights.
We extend previous results and give new perspectives related to echelon type
spaces, possible generalisations, asymptotic algebras, concepts of association,
and applications thereof.


title:
Study of Direct Photon plus Jet production in CMS Experiment at
  \sqrt{s}=14 TeV

abstract:
  We present simulation results of $\gamma$ + Jet analysis using CMS (Compact
Muon Solenoid) Object-Oriented software at the Large Hadron Collider (LHC)
center of mass energy $\sqrt{s}$=14 TeV. The study of direct photon production
helps in validating the perturbative Quantum Chromodynamics (pQCD) and
providing information on the gluon distribution in the nucleons. Direct photon
processes also constitute a major background to several other Standard Model
(SM) processes and signals of new physics. Thus these processes need to be
understood precisely in the new energy regime. In this work, we have done a
detailed study of the GEANT4 simulated $\gamma$ + jet events generated with
Pythia, and the related background processes. Isolation cuts have been
optimized for direct photon which improves the signal over background ratio by
$\sim25%$ as compared to previous studies done in CMS. The inclusion of a large
$\Delta\phi$ cut between the photon and the leading jet at $40^0$ in the
analysis leads to a further increase of $\sim15%$ in S/B, thus giving an
overall gain of $\sim42%$ in S/B ratio.


title:
Polarization shadows of extragalactic sources by the local magneto-ionic
  ISM

abstract:
  We report depolarization of extragalactic sources in the NRAO VLA Sky Survey
(NVSS) by local structures in the interstellar medium. The sky density of
polarized sources drops by a factor 2 - 4 in regions with angular scales
approx. 10 degrees, implying up to 40% depolarization on average per source.
Some of these polarization shadows are associated with HII regions, but three
are associated with regions of depolarized diffuse Galactic emission. The
absence of a correlation between the depth of polarization shadows and H-alpha
intensity suggests that some shadows are related to structure in the magnetic
field. At least some polarization shadows are caused by partial bandwidth
depolarization in the NVSS. Alternatively, some may be caused by regions with
small scale (< 1 arcsec) variations in rotation measure.


title: A toy model for quantum mechanics

abstract:
  The toy model used by Spekkens [R. Spekkens, Phys. Rev. A 75, 032110 (2007)]
to argue in favor of an epistemic view of quantum mechanics is extended by
generalizing his definition of pure states (i.e. states of maximal knowledge)
and by associating measurements with all pure states. The new toy model does
not allow signaling but, in contrast to the Spekkens model, does violate
Bell-CHSH inequalities. Negative probabilities are found to arise naturally
within the model, and can be used to explain the Bell-CHSH inequality
violations.


title:
Simulation of Heme using DFT+U: a step toward accurate spin-state
  energetics

abstract:
  We investigate the DFT+U approach as a viable solution to describe the
low-lying states of ligated and unligated iron heme complexes. Besides their
central role in organometallic chemistry, these compounds represent a
paradigmatic case where LDA, GGA, and common hybrid functionals fail to
reproduce the experimental magnetic splittings. In particular, the imidazole
pentacoordinated heme is incorrectly described as a triplet by all usual DFT
flavors. In this study we show that a U parameter close to 4 eV leads to spin
transitions and molecular geometries in quantitative agreement with
experiments, and that DFT+U represents an appealing tool in the description of
iron porphyrin complexes, at a much reduced cost compared to correlated
quantum-chemistry methods. The possibility of obtaining the U parameter from
first-principles is explored through a self-consistent linear-response
formulation. We find that this approach, which proved to be successful in other
iron systems, produces in this case some overestimation with respect to the
optimal values of U.


title: Distributions for MSSM Higgs boson + jet production at hadron colliders

abstract:
  We present pseudorapidity and transverse momentum distributions for the cross
section for the production of the lightest neutral Higgs boson in association
with a high-p_T hadronic jet, calculated in the framework of the minimal
supersymmetric standard model (MSSM). We discuss the theoretical predictions
for the differential cross sections at the Large Hadron Collider and the
Tevatron for the most common benchmark scenarios.


title:
Long-Term Evolution of Massive Black Hole Binaries. III. Binary
  Evolution in Collisional Nuclei

abstract:
  [Abridged] In galactic nuclei with sufficiently short relaxation times,
binary supermassive black holes can evolve beyond their stalling radii via
continued interaction with stars. We study this "collisional" evolutionary
regime using both fully self-consistent N-body integrations and approximate
Fokker-Planck models. The N-body integrations employ particle numbers up to
0.26M and a direct-summation potential solver; close interactions involving the
binary are treated using a new implementation of the Mikkola-Aarseth chain
regularization algorithm. Even at these large values of N, two-body scattering
occurs at high enough rates in the simulations that they can not be simply
scaled to the large-N regime of real galaxies. The Fokker-Planck model is used
to bridge this gap; it includes, for the first time, binary-induced changes in
the stellar density and potential. The Fokker-Planck model is shown to
accurately reproduce the results of the N-body integrations, and is then
extended to the much larger N regime of real galaxies. Analytic expressions are
derived that accurately reproduce the time dependence of the binary semi-major
axis as predicted by the Fokker-Planck model. Gravitational wave coalescence is
shown to occur in <10 Gyr in nuclei with velocity dispersions below about 80
km/s. Formation of a core results from a competition between ejection of stars
by the binary and re-supply of depleted orbits via two-body scattering. Mass
deficits as large as ~4 times the binary mass are produced before coalescence.
After the two black holes coalesce, a Bahcall-Wolf cusp appears around the
single hole in one relaxation time, resulting in a nuclear density profile
consisting of a flat core with an inner, compact cluster, similar to what is
observed at the centers of low-luminosity spheroids.


title: Neel order in square and triangular lattice Heisenberg models

abstract:
  Using examples of the square- and triangular-lattice Heisenberg models we
demonstrate that the density matrix renormalization group method (DMRG) can be
effectively used to study magnetic ordering in two-dimensional lattice spin
models. We show that local quantities in DMRG calculations, such as the on-site
magnetization M, should be extrapolated with the truncation error, not with its
square root, as previously assumed. We also introduce convenient sequences of
clusters, using cylindrical boundary conditions and pinning magnetic fields,
which provide for rapidly converging finite-size scaling. This scaling behavior
on our clusters is clarified using finite-size analysis of the effective
sigma-model and finite-size spin-wave theory. The resulting greatly improved
extrapolations allow us to determine the thermodynamic limit of M for the
square lattice with an error comparable to quantum Monte Carlo. For the
triangular lattice, we verify the existence of three-sublattice magnetic order,
and estimate the order parameter to be M = 0.205(15).


title: Autowaves in the model of avascular tumour growth

abstract:
  A mathematical model of infiltrative tumour growth taking into account cell
proliferation, death and motility is considered. The model is formulated in
terms of local cell density and nutrient (oxygen) concentration. In the model
the rate of cell death depends on the local nutrient level. Thus heterogeneous
nutrient distribution in tissue affects tumour structure and development. The
existence of automodel solutions is demonstrated and their properties are
investigated. The results are compared to the properties of the
Kolmogorov-Petrovskii-Piskunov and Fisher equations. Influence of the nutrient
distribution on the autowave speed selection as well as on the relaxation to
automodel solution is demonstrated. The model adequately describes the data,
observed in experiments.


title: Angular anisotropy of the fusion-fission and quasifission fragments

abstract:
  The anisotropy in the angular distribution of the fusion-fission and
quasifission fragments for the $^{16}$O+$^{238}$U, $^{19}$F+$^{208}$Pb and
$^{32}$S+$^{208}$Pb reactions is studied by analyzing the angular momentum
distributions of the dinuclear system and compound nucleus which are formed
after capture and complete fusion, respectively. The orientation angles of
axial symmetry axes of colliding nuclei to the beam direction are taken into
account for the calculation of the variance of the projection of the total spin
onto the fission axis. It is shown that the deviation of the experimental
angular anisotropy from the statistical model picture is connected with the
contribution of the quasifission fragments which is dominant in the
$^{32}$S+$^{208}$Pb reaction. Enhancement of anisotropy at low energies in the
$^{16}$O+$^{238}$U reaction is connected with quasifission of the dinuclear
system having low temperature and effective moment of inertia.


title: SLE in self-dual critical Z(N) spin systems: CFT predictions

abstract:
  The Schramm-Loewner evolution (SLE) describes the continuum limit of domain
walls at phase transitions in two dimensional statistical systems. We consider
here the SLEs in the self-dual Z(N) spin models at the critical point. For N=2
and N=3 these models correspond to the Ising and three-state Potts model. For
N>5 the critical self-dual Z(N) spin models are described in the continuum
limit by non-minimal conformal field theories with central charge c>=1. By
studying the representations of the corresponding chiral algebra, we show that
two particular operators satisfy a two level null vector condition which, for
N>=4, presents an additional term coming from the extra symmetry currents
action. For N=2,3 these operators correspond to the boundary conditions
changing operators associated to the SLE_{16/3} (Ising model) and to the
SLE_{24/5} and SLE_{10/3} (three-state Potts model). We suggest a definition of
the interfaces within the Z(N) lattice models. The scaling limit of these
interfaces is expected to be described at the self-dual critical point and for
N>=4 by the SLE_{4(N+1)/(N+2)} and SLE_{4(N+2)/(N+1)} processes.


title: Ultracold Thermalization of $^7$Li and $^{87}$Rb

abstract:
  We report on measurements of cross-species thermalization inside a
magnetically trapped spin-polarized mixture of $^{87}$Rb and $^7$Li atoms with
both atoms in their respective low field seeking magnetic substates
$|F=2,m_F=2\right>$. Measurement of the thermalization velocity in the
ultracold regime below $10 \mu$K allows for the derivation of the absolute
value of the pure triplet s-wave scattering length governing the interaction.
We find $|a_{7,87}|=(59\pm19) a_{\rm B}$. We propose to study both species in
the condensed regime to derive the sign of $a_{7,87}$. In this context, we
present numerical solutions to the coupled Gross-Pitaevskii equation based on
the hypothesis of a positive sign. According to the simulations, phase
separation of the Li and Rb $|2,2\right>$ clouds occurs along with a mean-field
stabilization allowing for larger atom numbers of condensed $^7$Li atoms before
collapse sets in. Observation of this mean-field stabilization would directly
fix the sign of $a_{7,87}$. We discuss our results in the light of this
proposal.


title: Dynamic critical behavior of the Chayes-Machta-Swendsen-Wang algorithm

abstract:
  We study the dynamic critical behavior of the Chayes-Machta dynamics for the
Fortuin-Kasteleyn random-cluster model, which generalizes the Swendsen-Wang
dynamics for the q-state Potts model to noninteger q, in two and three spatial
dimensions, by Monte Carlo simulation. We show that the Li-Sokal bound z \ge
\alpha/\nu is close to but probably not sharp in d=2, and is far from sharp in
d=3, for all q. The conjecture z \ge \beta/\nu is false (for some values of q)
in both d=2 and d=3.


title:
Study of interacting electrons in graphene under the
  renormalized-ring-diagram approximation

abstract:
  Using the tight-binding model with long-range Coulomb interactions between
electrons, we study some of the electronic properties of graphene. The Coulomb
interactions are treated with the renormalized-ring-diagram approximation. By
self-consistently solving the integral equations for the Green function, we
calculate the spectral density. The obtained result is in agreement with
experimental observation. In addition, we also compute the density of states,
the distribution functions, and the ground-state energy. Within the present
approximation, we find that the imaginary part of the self-energy fixed at the
Fermi momentum varies as quadratic in energy close to the chemical potential,
regardless the system is doped or not. This result appears to indicate that the
electrons in graphene always behave like a moderately correlated Fermi liquid.


title: Measures related to (e,n)-complexity functions

abstract:
  The (e,n)-complexity functions describe total instability of trajectories in
dynamical systems. They reflect an ability of trajectories going through a
Borel set to diverge on the distance $\epsilon$ during the time interval n.
Behavior of the (e, n)-complexity functions as n goes to infinity is reflected
in the properties of special measures. These measures are constructed as limits
of atomic measures supported at points of (e,n)-separated sets. We study such
measures. In particular, we prove that they are invariant if the
(e,n)-complexity function grows subexponentially.
  Keywords: Topological entropy, complexity functions, separability.


title:
Acoustic response of a rigid frame porous medium slab with a periodic
  set of inclusions

abstract:
  The acoustic response of a rigid frame porous slab with a periodic set of
inclusions is calculated by use of a multipole method. The acoustic properties,
in particular the absorption, of such a structure are then derived and studied.
Numerical results together with a modal analysis show that the addition of a
periodic set of high-contrast inclusions leads to quasi-modes excitation of
both the slab and the gratings, and to a large increase of the acoustic
absorption of the initial slab, this being partly due to the quasi-modes
excitation.


title: Two field BPS solutions for generalized Lorentz breaking models

abstract:
  In this work we present nonlinear models in two-dimensional space-time of two
interacting scalar fields in the Lorentz and CPT violating scenarios. We
discuss the soliton solutions for these models as well as the question of
stability for them. This is done by generalizing a model recently published by
Barreto and collaborators and also by getting new solutions for the model
introduced by them.


title: Black Hole Motion as Catalyst of Orbital Resonances

abstract:
  The motion of a black hole about the centre of gravity of its host galaxy
induces a strong response from the surrounding stellar population. We treat the
case of a harmonic potential analytically and show that half of the stars on
circular orbits in that potential shift to an orbit of lower energy, while the
other half receive a positive boost and recede to a larger radius. The black
hole itself remains on an orbit of fixed amplitude and merely acts as a
catalyst for the evolution of the stellar energy distribution function f(E). We
show that this effect is operative out to a radius of approx 3 to 4 times the
hole's influence radius, R_bh. We use numerical integration to explore more
fully the response of a stellar distribution to black hole motion. We consider
orbits in a logarithmic potential and compare the response of stars on circular
orbits, to the situation of a `warm' and `hot' (isotropic) stellar velocity
field. While features seen in density maps are now wiped out, the kinematic
signature of black hole motion still imprints the stellar line-of-sight mean
velocity to a magnitude ~18% the local root mean-square velocity dispersion
sigma.


title:
Un probl\`eme de type Yamabe sur les vari\'et\'es compactes spinorielles
  compactes

abstract:
  Let $(M,g,\si)$ be a compact spin manifold of dimension $n \geq 2$. Let
$\lambda_1^+(\tilde{g})$ be the smallest positive eigenvalue of the Dirac
operator in the metric $\tilde{g} \in [g]$ conformal to $g$. We then define
$\lamin(M,[g],\si) = \inf_{\tilde{g} \in [g]} \lambda_1^+(\tilde{g})
\Vol(M,\tilde{g})^{1/n} $. We show that $0< \lamin(M,[g],\si) \leq
\lamin(\mS^n)$. %=\frac{n}{2} \om_n^{{1 \over n}}$ . We find sufficient
conditions for which we obtain strict inequality $\lamin(M,[g],\si) <
\lamin(\mS^n)$. This strict inequality has applications to conformal spin
geometry.
  -----
  Soit $(M,g,\si)$ une vari\'et\'e spinorielle compacte de dimension $n \geq
2$. %Si $\tilde{g} \in [g]$ est une m\'etrique conforme \`a $g$, On note
$\lambda_1^+(\tilde{g})$ la plus petite valeur propre $>0$ de l'op\'erateur de
Dirac dans la m\'etrique $\tilde{g} \in [g]$ conforme \`a $g$. On d\'efinit
$\lamin(M,[g],\si) = \inf_{\tilde{g} \in [g]} \lambda_1^+(\tilde{g})
  \Vol(M,\tilde{g})^{1/n} $. On montre que $0< \lamin(M,[g],\si) \leq
\lamin(\mS^n)$. %= \frac{n}{2} \om_n^{{1 \over n}}$ On trouve des conditions
suffisantes pour lesquelles on obtient l'in\'egalit\'e stricte
$\lamin(M,[g],\si) < \lamin(\mS^n)$. Cette in\'egalit\'e stricte a des
applications en g\'eom\'etrie spinorielle conforme.


title: Steady-state conduction in self-similar billiards

abstract:
  The self-similar Lorentz billiard channel is a spatially extended
deterministic dynamical system which consists of an infinite one-dimensional
sequence of cells whose sizes increase monotonically according to their
indices. This special geometry induces a nonequilibrium stationary state with
particles flowing steadily from the small to the large scales. The
corresponding invariant measure has fractal properties reflected by the
phase-space contraction rate of the dynamics restricted to a single cell with
appropriate boundary conditions. In the near-equilibrium limit, we find
numerical agreement between this quantity and the entropy production rate as
specified by thermodynamics.


title: Stopping Power from SPS to LHC energies

abstract:
  We investigate the energy dependence of hadron production and of stopping
power based on HIJING/BBbar v2.0 model calculations. Pseudorapidity spectra and
transverse momentum distributions for produced charged particles as well as net
baryons (per pair of partcipants) and their rapidity loss are compared to data
at RHIC and predictions for LHC energies are discussed.


title: Developing the Theory of Flux Limits from $\gamma$-Ray Cascades

abstract:
  Dark matter annihilation and other processes may precipitate a flux of
diffuse ultra-high energy $\gamma$-rays. These $\gamma$-rays may be observable
in present day experiments which observe diffuse fluxes at the GeV scale. Yet
the universe is presently opaque to $\gamma$-rays above 10 TeV. It is generally
assumed that cascade radiation is observable at all high energies, however the
disparity in energy from production to observation has important consequences
for theoretical flux limits. We detail the physics of cascade radiation
development and consider the influence of energy and redshift scale on
arbitrary flux limits that result from electromagnetic cascade.


title:
Combustion waves in a model with chain branching reaction and their
  stability

abstract:
  In this paper the travelling wave solutions in the adiabatic model with
two-step chain branching reaction mechanism are investigated both numerically
and analytically in the limit of equal diffusivity of reactant, radicals and
heat. The properties of these solutions and their stability are investigated in
detail. The behaviour of combustion waves are demonstrated to have similarities
with the properties of nonadiabatic one-step combustion waves in that there is
a residual amount of fuel left behind the travelling waves and the solutions
can exhibit extinction. The difference between the nonadiabatic one-step and
adiabatic two-step models is found in the behaviour of the combustion waves
near the extinction condition. It is shown that the flame velocity drops down
to zero and a standing combustion wave is formed as the extinction condition is
reached. Prospects of further work are also discussed.


title: Complementarity in the Bohr-Einstein Photon Box

abstract:
  The photon box thought experiment can be considered a forerunner of the
EPR-experiment: by performing suitable measurements on the box it is possible
to ``prepare'' the photon, long after it has escaped, in either of two
complementary states. Consistency requires that the corresponding box
measurements be complementary as well. At first sight it seems, however, that
these measurements can be jointly performed with arbitrary precision: they
pertain to different systems (the center of mass of the box and an internal
clock, respectively). But this is deceptive. As we show by explicit
calculation, although the relevant quantities are simultaneously measurable,
they develop non-vanishing commutators when calculated back to the time of
escape of the photon. This justifies Bohr's qualitative arguments in a precise
way; and it illustrates how the details of the dynamics conspire to guarantee
the requirements of complementarity. In addition, our calculations exhibit a
``fine structure'' in the distribution of the uncertainties over the
complementary quantities: depending on \textit{when} the box measurement is
performed, the resulting quantum description of the photon differs. This brings
us close to the argumentation of the later EPR thought experiment.


title: Axiom System and Completeness Expression for Quantum Mechanics

abstract:
  The standard axiomatization of quantum mechanics (QM) is not fully explicit
about the role of the time-parameter. Especially, the time reference within the
probability algorithm (the Born Rule, BR) is unclear. Using a plausible
principle P1, about the role of probability in a physical theory, and a second
principle P2 affording a most natural way to make BR precise, a logical
conflict with the standard expression for the completeness of QM can be
derived. Rejecting P1 is implausible. Rejecting P2 leads to unphysical results
and to a conflict with a generalization of P2, a principle P3. It is thus made
plausible that the standard expression of QM completeness must be revised. An
absolutely explicit form of the axioms is provided, including a precise form of
the projection postulate. An appropriate expression for QM completeness,
reflecting the restrictions of the Gleason and Kochen-Specker theorems is
proposed.


title: Complementarity in the Einstein-Bohr Photon Box

abstract:
  The photon box thought experiment can be considered a forerunner of the
EPR-experiment: by performing suitable measurements on the box it is possible
to ``prepare'' the photon, long after it has escaped, in either of two
complementary states. Consistency requires that the corresponding box
measurements be complementary as well. At first sight it seems, however, that
these measurements can be jointly performed with arbitrary precision: they
pertain to different systems (the center of mass of the box and an internal
clock, respectively). But this is deceptive. As we show by explicit
calculation, although the relevant quantities are simultaneously measurable,
they develop non-vanishing commutators when calculated back to the time of
escape of the photon. This justifies Bohr's qualitative arguments in a precise
way; and it illustrates how the details of the dynamics conspire to guarantee
the requirements of complementarity. In addition, our calculations exhibit a
``fine structure'' in the distribution of the uncertainties over the
complementary quantities: depending on when the box measurement is performed,
the resulting quantum description of the photon differs. This brings us close
to the argumentation of the later EPR thought experiment.


title: On the monotonization of the training set

abstract:
  We consider the problem of minimal correction of the training set to make it
consistent with monotonic constraints. This problem arises during analysis of
data sets via techniques that require monotone data. We show that this problem
is NP-hard in general and is equivalent to finding a maximal independent set in
special orgraphs. Practically important cases of that problem considered in
detail. These are the cases when a partial order given on the replies set is a
total order or has a dimension 2. We show that the second case can be reduced
to maximization of a quadratic convex function on a convex set. For this case
we construct an approximate polynomial algorithm based on convex optimization.


title:
Solutions to Master Equations of Quantum Brownian Motion in a General
  Environment with External Force

abstract:
  We revisit the model of a system made up of a Brownian quantum oscillator
under the influence of an external classical force and linearly coupled to an
environment made up of many quantum oscillators at zero or finite temperature.
We show that the HPZ master equation for the reduced density matrix derived
earlier [B.L. Hu, J.P. Paz, Y. Zhang, Phys. Rev. D 45, 2843 (1992)] with
coefficients obtained from solutions of integro-differential equations can
assume closed functional forms for a fairly general class of spectral densities
of the environment at arbitrary temperature and coupling strength. As an
illustration of these new results we solve the corresponding master equation
and calculate, among other physical quantities, the uncertainty function whose
late time behavior can be obtained fully. This produces a formula for
investigating the standard quantum limit which is central to addressing many
theoretical issues in macroscopic quantum phenomena and experimental concerns
related to low temperature precision measurements. We find that any initial
state always settles down to a Gaussian density matrix whose covariance is
determined by the thermal reservoir and whose mean is determined by the
external force. For more general spectra we show that the solution of the
master equation can be reduced to solving for the motion of a classical
parametric oscillator with parametric frequency determined by the unsolved for
master equation coefficients. States in these systems experience evolution that
is parametrically similar to the simpler evolution explicitly determined for in
the case of Laurent-series spectra.


title:
A de Haas-van Alphen study of the filled skutterudite compounds
  PrOs$_4$As$_{12}$ and LaOs$_4$As$_{12}$

abstract:
  Comprehensive magnetic-field-orientation dependent studies of the
susceptibility and de Haas-van Alphen effect have been carried out on single
crystals of the filled skutterudites PrOs$_4$As$_{12}$ and LaOs$_4$As$_{12}$
using magnetic fields of up to 40~T. Several peaks are observed in the
low-field susceptibility of PrOs$_4$As$_{12}$, corresponding to cascades of
metamagnetic transitions separating the low-field antiferromagnetic and
high-field paramagnetic metal (PMM) phases. The de Haas-van Alphen experiments
show that the Fermi-surface topologies of PrOs$_4$As$_{12}$ in its PMM phase
and LaOs$_4$As$_{12}$ are very similar. In addition, they are in reasonable
agreement with the predictions of bandstructure calculations for
LaOs$_4$As$_{12}$ on the PrOs$_4$As$_{12}$ lattice. Both observations suggest
that the Pr 4$f$ electrons contribute little to the number of itinerant
quasiparticles in the PMM phase. However, whilst the properties of
LaOs$_4$As$_{12}$ suggest a conventional nonmagnetic Fermi liquid, the effects
of direct exchange and electron correlations are detected in the PMM phase of
PrOs$_4$As$_{12}$. For example, the quasiparticle effective masses in
PrOs$_4$As$_{12}$ are found to decrease with increasing field, probably
reflecting the gradual suppression of magnetic fluctuations associated with
proximity to the low-temperature, low-field antiferromagnetic state.


title: Euclidean Wormholes in String Theory

abstract:
  We show that toroidal compactification of type II string theory to six
dimensions admits axionic euclidean wormhole solutions. These wormholes can be
inserted into $AdS_3 \times S^3 \times T^4$ backgrounds, which have a
well-defined CFT dual. AdS/CFT duality then suggests that the wormhole
solutions cannot be interpreted using $\alpha$ parameters as originally
suggested by Coleman.


title: LENS as a Probe of Sterile Neutrino Mediated Oscillations

abstract:
  Sterile neutrino ($\nu_s$) conversion in meter scale baselines can be
sensitively probed using mono-energetic, sub-MeV, flavor pure $\nu_e$'s from an
artificial MCi source and the unique technology of the LENS low energy solar
$\nu_e$ detector. Active-sterile {\em oscillations} can be directly observed in
the granular LENS detector itself to critically test and extend results of
short baseline accelerator and reactor experiments.


title:
Schwinger Mechanism for Quark-Antiquark Production in the Presence of
  Arbitrary Time Dependent Chromo-Electric Field

abstract:
  We study the Schwinger mechanism in QCD in the presence of an arbitrary
time-dependent chromo-electric background field $E^a(t)$ with arbitrary color
index $a$=1,2,...8 in SU(3). We obtain an exact result for the non-perturbative
quark (antiquark) production from an arbitrary $E^a(t)$ by directly evaluating
the path integral. We find that the exact result is independent of all the time
derivatives $\frac{d^nE^a(t)}{dt^n}$ where $n=1,2,...\infty$. This result has
the same functional dependence on two Casimir invariants $[E^a(t)E^a(t)]$ and
$[d_{abc}E^a(t)E^b(t)E^c(t)]^2$ as the constant chromo-electric field $E^a$
result with the replacement: $E^a \rightarrow E^a(t)$. This result relies
crucially on the validity of the shift conjecture, which has not yet been
established.


title: Counting Chiral Operators in Quiver Gauge Theories

abstract:
  We discuss in detail the problem of counting BPS gauge invariant operators in
the chiral ring of quiver gauge theories living on D-branes probing generic
toric CY singularities. The computation of generating functions that include
counting of baryonic operators is based on a relation between the baryonic
charges in field theory and the Kaehler moduli of the CY singularities. A study
of the interplay between gauge theory and geometry shows that given geometrical
sectors appear more than once in the field theory, leading to a notion of
"multiplicities". We explain in detail how to decompose the generating function
for one D-brane into different sectors and how to compute their relevant
multiplicities by introducing geometric and anomalous baryonic charges. The
Plethystic Exponential remains a major tool for passing from one D-brane to
arbitrary number of D-branes. Explicit formulae are given for few examples,
including C^3/Z_3, F_0, and dP_1.


title:
The Galactic Central Diffuse X-ray Enhancement: A Differential
  Absorption/Emission Analysis

abstract:
  The soft X-ray background shows a general enhancement toward the inner region
of the Galaxy. But whether this enhancement is a local feature (e.g., a
superbubble within a distance of <= 200 pc) and/or a phenomenon related to
energetic outflows from the Galactic center/bulge remains unclear. Here we
report a comparative X-ray emission and absorption study of diffuse hot gas
along the sight lines toward 3C 273 and Mrk 421, on and off the enhancement,
but at similar Galactic latitudes. The diffuse 3/4-keV emission intensity, as
estimated from the ROSAT All Sky Survey, is about three times higher toward 3C
273 than toward Mrk 421. Based on archival \chandra grating observations of
these two AGNs, we detect X-ray absorption lines (e.g., OVII Kalpha, Kbeta, and
OVIII Kalpha transitions at z~0) and find that the mean hot gas thermal and
kinematic properties along the two sight lines are significantly different. By
subtracting the foreground and background contribution, as determined along the
Mrk 421 sight line, we isolate the net X-ray absorption and emission produced
by the hot gas associated with the enhancement in the direction of 3C 273. From
a joint analysis of these differential data sets, we obtain the temperature,
dispersion velocity, and hydrogen column density as 2.0(1.6, 2.3)E6 K,
216(104,480) km/s, and 2.2(1.4, 4.1)E19 cm^{-2}, respectively (90% confidence
intervals), assuming that the gas is approximately isothermal, solar in metal
abundances, and equilibrium in collisional ionization. We also constrain the
effective line-of-sight extent of the gas to be 3.4(1.0, 10.1) kpc, strongly
suggesting that the enhancement most likely represents a Galactic central
phenomenon.


title:
A sharper view of the outer Galaxy at 1420 and 408 MHz from the Canadian
  Galactic Plane Survey - I. Revisiting the KR catalogue and new Gigahertz
  Peaked Spectrum Sources

abstract:
  Arcminute-resolution radio continuum images at 408 and 1420 MHz from the
Canadian Galactic Plane Survey (CGPS) have been used to reexamine radio sources
listed in the Kallas and Reich (1980) catalogue. This catalogue is of
particular interest to Galactic studies as it lists both extended and compact
radio sources found in the second Galactic quadrant. We have determined the
nature (extended vs. compact, Galactic vs. extragalactic) of all of these
bright radio sources. A number of large HII regions with no optical
counterparts are highlighted along with a sample of large radio galaxies. Many
sources previously thought to be extended Galactic objects are shown to be
point sources. A sample of point sources with flat or rising spectra between
408 and 1420 MHz has been compiled, and within this sample likely Gigahertz
Peaked Spectrum sources have been identified.