title: Relativistic diffusion equation from stochastic quantization

abstract:
  The new scheme of stochastic quantization is proposed. This quantization
procedure is equivalent to the deformation of an algebra of observables in the
manner of deformation quantization with an imaginary deformation parameter (the
Planck constant). We apply this method to the models of nonrelativistic and
relativistic particles interacting with an electromagnetic field. In the first
case we establish the equivalence of such a quantization to the Fokker-Planck
equation with a special force. The application of the proposed quantization
procedure to the model of a relativistic particle results in a relativistic
generalization of the Fokker-Planck equation in the coordinate space, which in
the absence of the electromagnetic field reduces to the relativistic diffusion
(heat) equation. The stationary probability distribution functions for a
stochastically quantized particle diffusing under a barrier and a particle in
the potential of a harmonic oscillator are derived.


title:
A Game-Theoretic Approach to Energy-Efficient Modulation in CDMA
  Networks with Delay Constraints

abstract:
  A game-theoretic framework is used to study the effect of constellation size
on the energy efficiency of wireless networks for M-QAM modulation. A
non-cooperative game is proposed in which each user seeks to choose its
transmit power (and possibly transmit symbol rate) as well as the constellation
size in order to maximize its own utility while satisfying its delay
quality-of-service (QoS) constraint. The utility function used here measures
the number of reliable bits transmitted per joule of energy consumed, and is
particularly suitable for energy-constrained networks. The best-response
strategies and Nash equilibrium solution for the proposed game are derived. It
is shown that in order to maximize its utility (in bits per joule), a user must
choose the lowest constellation size that can accommodate the user's delay
constraint. Using this framework, the tradeoffs among energy efficiency, delay,
throughput and constellation size are also studied and quantified. The effect
of trellis-coded modulation on energy efficiency is also discussed.


title: Prospects of medium tomography using hard processes inside a soft medium

abstract:
  Hard processes leading to high transverse momentum hadron production are
calculable in perturbative Quantum Chromodynamics (pQCD) for proton-proton
collisions. In heavy-ion collisions, such processes occur as well, and due to a
separation of scales are calculable on the level of the production of high p_T
partons. These subsequently interact with the medium which originates from
semi-hard and soft processes in the same collision before they hadronize. The
presence of the medium thus modifies the momentum spectrum of outgoing partons
and thus hard hadrons. The idea of jet tomography is to study this modification
in order to learn about the medium density distribution. While this is a
compelling idea, its practical application encounters some difficulties. In
this paper, the capability of various observables to provide tomographic
information about the medium is discussed and compared.


title:
Energy-Efficient Resource Allocation in Wireless Networks with
  Quality-of-Service Constraints

abstract:
  A game-theoretic model is proposed to study the cross-layer problem of joint
power and rate control with quality of service (QoS) constraints in
multiple-access networks. In the proposed game, each user seeks to choose its
transmit power and rate in a distributed manner in order to maximize its own
utility while satisfying its QoS requirements. The user's QoS constraints are
specified in terms of the average source rate and an upper bound on the average
delay where the delay includes both transmission and queuing delays. The
utility function considered here measures energy efficiency and is particularly
suitable for wireless networks with energy constraints. The Nash equilibrium
solution for the proposed non-cooperative game is derived and a closed-form
expression for the utility achieved at equilibrium is obtained. It is shown
that the QoS requirements of a user translate into a "size" for the user which
is an indication of the amount of network resources consumed by the user. Using
this competitive multiuser framework, the tradeoffs among throughput, delay,
network capacity and energy efficiency are studied. In addition, analytical
expressions are given for users' delay profiles and the delay performance of
the users at Nash equilibrium is quantified.


title:
A Unified Approach to Energy-Efficient Power Control in Large CDMA
  Systems

abstract:
  A unified approach to energy-efficient power control is proposed for
code-division multiple access (CDMA) networks. The approach is applicable to a
large family of multiuser receivers including the matched filter, the
decorrelator, the linear minimum mean-square error (MMSE) receiver, and the
(nonlinear) optimal detectors. It exploits the linear relationship that has
been shown to exist between the transmit power and the output
signal-to-interference-plus-noise ratio (SIR) in the large-system limit. It is
shown that, for this family of receivers, when users seek to selfishly maximize
their own energy efficiency, the Nash equilibrium is SIR-balanced. In addition,
a unified power control (UPC) algorithm for reaching the Nash equilibrium is
proposed. The algorithm adjusts the user's transmit powers by iteratively
computing the large-system multiuser efficiency, which is independent of
instantaneous spreading sequences. The convergence of the algorithm is proved
for the matched filter, the decorrelator, and the MMSE receiver, and is
demonstrated by means of simulation for an optimal detector. Moreover, the
performance of the algorithm in finite-size systems is studied and compared
with that of a conventional power control scheme, in which user powers depend
on the instantaneous spreading sequences.


title: Screening masses in the SU(3) pure gauge theory and universality

abstract:
  We determine from Polyakov loop correlators the screening masses in the
deconfined phase of the (3+1)d SU(3) pure gauge theory at finite temperature
near the transition, for two different channels of angular momentum and parity.
Their ratio is compared with that of the massive excitations with the same
quantum numbers in the 3d 3-state Potts model in the broken phase near the
transition point at zero magnetic field. Moreover we study the inverse decay
length of the correlation between the real parts and between the imaginary
parts of the Polyakov loop and compare the results with expectations from
perturbation theory and mean-field Polyakov loop models.


title: High-precision astrometry on the VLT/FORS1 at time scales of few days

abstract:
  We investigate the accuracy of astrometric measurements with the VLT/FORS1
camera and consider potential applications. The study is based on two-epoch
(2000 and 2002/2003) frame series of observations of a selected Galactic Bulge
sky region that were obtained with FORS1 during four consecutive nights each.
Reductions were carried out with a novel technique that eliminates atmospheric
image motion and does not require a distinction between targets and reference
objects. The positional astrometric precision was found to be limited only by
the accuracy of the determination of the star photocentre, which is typically
200-300 microarcsec per single measurement for bright unsaturated stars
B=18-19. Several statistical tests have shown that at time-scales of 1-4 nights
the residual noise in measured positions is essentially a white noise with no
systematic instrumental signature and no significant deviation from a Gaussian
distribution. Some evidence of a good astrometric quality of the VLT for frames
separated by two years has also been found. Our data show that the VLT with
FORS1/2 cameras can be effectively used for astrometric observations of
planetary microlensing events and other applications where a high accuracy is
required, that is expected to reach 30-40 microarcsec for a series of 50 frames
(one hours with R filter).


title:
Multisite campaign on the open cluster M67. III. Delta Scuti pulsations
  in the blue stragglers

abstract:
  We have made an asteroseismic analysis of the variable blue stragglers in the
open cluster M67. The data set consists of photometric time series from eight
sites using nine 0.6-2.1 meter telescopes with a time baseline of 43 days. In
two stars, EW Cnc and EX Cnc, we detect the highest number of frequencies (41
and 26) detected in delta Scuti stars belonging to a stellar cluster, and EW
Cnc has the second highest number of frequencies detected in any delta Scuti
star. We have computed a grid of pulsation models that take the effects of
rotation into account. The distribution of observed and theoretical frequencies
show that in a wide frequency range a significant fraction of the radial and
non-radial low-degree modes are excited to detectable amplitudes. Despite the
large number of observed frequencies we cannot constrain the fundamental
parameters of the stars. To make progress we need to identify the degrees of
some of the modes either from multi-colour photometry or spectroscopy.


title:
On Classification of Finite Dimensional Complex Filiform Leibniz
  Algebras (Part 2)

abstract:
  The paper is devoted to classification problem of finite dimensional complex
none Lie filiform Leibniz algebras. Actually, the observations show there are
two resources to get classification of filiform Leibniz algebras. The first of
them is naturally graded none Lie filiform Leibniz algebras and the another one
is naturally graded filiform Lie algebras. Using the first resource we get two
disjoint classes of filiform Leibniz algebras. The present paper deals with the
second of the above two classes, the first class has been considered in our
previous paper. The algebraic classification here means to specify the
representatives of the orbits, whereas the geometric classification is the
problem of finding generic structural constants in the sense of algebraic
geometry. Our main effort in this paper is the algebraic classification. We
suggest here an algebraic method based on invariants. Utilizing this method for
any given low dimensional case all filiform Leibniz algebras can be classified.
Moreover, the results can be used for geometric classification of orbits of
such algebras.


title: A Note on Ontology and Ordinary Language

abstract:
  We argue for a compositional semantics grounded in a strongly typed ontology
that reflects our commonsense view of the world and the way we talk about it.
Assuming such a structure we show that the semantics of various natural
language phenomena may become nearly trivial.


title:
On the accurate evaluation of overlap integrals over Slater type
  orbitals using analytical and recurrence relations

abstract:
  In this study, using the analytical and recurrence relations suggested by the
authors in previous works, the new efficient and reliable program procedure for
the overlap integrals over Slater type orbitals (STOs) is presented. The
proposed procedure guarantees a highly accurate evaluation of the overlap
integrals with arbitrary values of quantum numbers, screening constants and
internuclear distances. It is demonstrated that the computational accuracy of
the proposed procedure is not only dependent on the efficiency of formulas, as
has been discussed previously, but also on a number of other factors including
the used program language package and solvent properties. The numerical results
obtained using the algorithm described in the present work are in a complete
agreement with those obtained using the alternative evaluation procedure. We
notice that the program works without any restrictions and in all range of
integral parameters.


title:
Gravitational field of a higher dimensional global monopole in Lyra
  geometry

abstract:
  We present a five dimensional global monopole within the framework of Lyra
geometry. Also the gravitational field of the monopole solution has been
considered.


title: Liquid-vapour transition of the long range Yukawa fluid

abstract:
  Two liquid state theories, the self-consistent Ornstein-Zernike equation
(SCOZA) and the hierarchical reference theory (HRT) are shown, by comparison
with Monte Carlo simulations, to perform extremely well in predicting the
liquid-vapour coexistence of the hard core Yukawa (HCY) fluid when the
interaction is long range. The long range of the potential is treated in the
simulations using both an Ewald sum and hyperspherical boundary conditions. In
addition, we present an analytical optimised mean field theory which is exact
in the limit of an infinitely long range interaction. The work extends a
previous one by Caccamo et al [Phys. Rev. E,60, 5533 (1999)] for short range
interactions.


title:
An algorithm for clock synchronization with the gradient property in
  sensor networks

abstract:
  We introduce a distributed algorithm for clock synchronization in sensor
networks. Our algorithm assumes that nodes in the network only know their
immediate neighborhoods and an upper bound on the network's diameter.
Clock-synchronization messages are only sent as part of the communication,
assumed reasonably frequent, that already takes place among nodes. The
algorithm has the gradient property of [2], achieving an O(1) worst-case skew
between the logical clocks of neighbors. As in the case of [3,8], the
algorithm's actions are such that no constant lower bound exists on the rate at
which logical clocks progress in time, and for this reason the lower bound of
[2,5] that forbids constant skew between neighbors does not apply.


title: World-sheet scattering in AdS_5 x S^5 at two loops

abstract:
  We study the AdS_5 x S^5 sigma-model truncated to the near-flat-space limit
to two-loops in perturbation theory. In addition to extending previously known
one-loop results to the full SU(2|2)^2 S-matrix we calculate the two-loop
correction to the dispersion relation and then compute the complete two-loop
S-matrix. The result of the perturbative calculation can be compared with the
appropriate limit of the conjectured S-matrix for the full theory and complete
agreement is found.


title: Current Noise in Quantum Point Contacts

abstract:
  We present measurements of current noise in quantum point contacts as a
function of source-drain bias, gate voltage, and in-plane magnetic field. At
zero bias, Johnson noise provides a measure of the electron temperature. At
finite bias, shot noise at zero field exhibits an asymmetry related to the 0.7
structure in conductance. The asymmetry in noise evolves smoothly into the
symmetric signature of spin-resolved electron transmission at high field.
Comparison to a phenomenological model with density-dependent level splitting
yields quantitative agreement. Additionally, a device-specific contribution to
the finite-bias noise, particularly visible on conductance plateaus (where shot
noise vanishes), agrees quantitatively with a model of bias-dependent electron
heating.


title: Single and two-particle motion of heavy particles in turbulence

abstract:
  We study motion of small particles in turbulence when the particle relaxation
time falls in the range of inertial time-scales of the flow. Due to inertia,
particles drift relative to the fluid. We show that the drift velocity is close
to the Lagrangian velocity increments of turbulence at the particle relaxation
time. We demonstrate that the collective drift of two close particles makes
them see local velocity increments fluctuate fast and we introduce the
corresponding Langevin description for separation dynamics. This allows to
describe the behavior of the Lyapunov exponent and give the analogue of
Richardson's law for separation above viscous scale.


title: Manifolds admitting stable forms

abstract:
  In this note we give a direct method to classify all stable forms on $\R^n$
as well as to determine their automorphism groups. We show that in dimension
6,7,8 stable forms coincide with non-degnerate forms.
  We present necessary conditions and sufficient conditions for a manifold to
admit a stable form. We also discuss rich properties of the geometry of such
manifolds.


title: SPI observations of the diffuse 60Fe emission in the Galaxy

abstract:
  Gamma-ray line emission from radioactive decay of 60Fe provides constraints
on nucleosynthesis in massive stars and supernovae. The spectrometer SPI on
board INTEGRAL has accumulated nearly three years of data on gamma-ray emission
from the Galactic plane. We have analyzed these data with suitable
instrumental-background models and sky distributions to produce high-resolution
spectra of Galactic emission. We detect the gamma-ray lines from 60Fe decay at
1173 and 1333 keV, obtaining an improvement over our earlier measurement of
both lines with now 4.9 sigma significance for the combination of the two
lines. The average flux per line is (4.4 \pm 0.9) \times 10^{-5} ph cm^{-2}
s^{-1} rad^{-1} for the inner Galaxy region. Deriving the Galactic 26Al
gamma-ray line flux with using the same set of observations and analysis
method, we determine the flux ratio of 60Fe/26Al gamma-rays as 0.148 \pm 0.06.
The current theoretical predictions are still consistent with our result.


title: Sum rule for photon target

abstract:
  The amplitude of zero angle scattering of electron on photon in the 3-rd QED
order of fine structure constant with $\gamma^*\gamma$ intermediate state
converting into quark--antiquark is considered. Utilizing analytic properties
of elastic photon--photon scattering amplitude an explicit expression for
differential cross- section of quark--antiquark pair production at
electron-photon collision in peripheral kinematics is derived apparently.
Limiting case of small transferred momenta with an application of the
Weizs\"acker-Williams like relation gives the sum rule for photon target,
bringing into the relation the sum of ratios of the four power of the quark
charges to squared quark masses with integral over the total $\gamma\gamma \to
2 jets$ cross--section.


title: A Surface-Gated InSb Quantum Well Single Electron Transistor

abstract:
  Single electron charging effects in a surface-gated InSb/AlInSb QW structure
are reported. This material, due to its large g-factor and light effective
mass, offers considerable advantages over more commonly used materials, such as
GaAs, for quantum information processing devices. However, differences in
material and device technology result in significant processing challenges.
Simple Coulomb blockade and quantised confinement models are considered to
explain the observation of conductance oscillations in these structures. The
charging energy is found to be comparable with the energy spectrum for single
particle states.


title: Reissner-Nordstr\"om Spacetime in the Tetrad Theory of Gravitation

abstract:
  We give two classes of spherically symmetric exact solutions of the couple
gravitational and electromagnetic fields with charged source in the tetrad
theory of gravitation. The first solution depends on an arbitrary function
$H({R},t)$. The second solution depends on a constant parameter $\eta$. These
solutions reproduce the same metric, i.e., the Reissner--Nordstr$\ddot{o}$m
metric. If the arbitrary function which characterizes the first solution and
the arbitrary constant of the second solution are set to be zero, then the two
exact solutions will coincide with each other. We then calculate the energy
content associated with these analytic solutions using the superpotential
method. In particular, we examine whether these solutions meet the condition
which M{\o}ller required for a consistent energy-momentum complex: Namely, we
check whether the total four-momentum of an isolated system behaves as a
four-vector under Lorentz transformations. It is then found that the arbitrary
function should decrease faster than $1/\sqrt{R}$ for $R\to \infty$. It is also
shown that the second exact solution meets the M{\o}ller's condition.


title:
Parameterized Gromov-Witten invariants and topology of symplectomorphism
  groups

abstract:
  In this note we introduce parameterized Gromov-Witten invariants for
symplectic fiber bundles and study the topology of the symplectomorphism group.
We also give sample applications showing the non-triviality of certain homotopy
groups of some symplectomorphism groups.


title: The infrared environments of masers associated with star formation

abstract:
  The near infrared (1-2um) and the thermal infrared (3-25um) trace many of the
environments in which masers are thought to reside, including shocks, outflows,
accretion disks, and the dense medium near protostars. After a number of recent
surveys it has been found that there is a higher detection rate of mid-IR
emission towards masers than cm radio continuum emission from UC HII regions,
and that the mid-IR emission is actually more closely cospatial to the maser
locations. A high percentage of water and methanol masers that are not
coincident with the UC HII regions in massive star forming regions are likely
to be tracing outflows and extremely young high mass stars before the onset of
the UC HII region phase. After a decade of groundwork supporting the hypothesis
that linarly distributed class II methanol masers may generally trace accretion
disks around young massive stars, compelling evidence is mounting that these
masers may generally be associated with outflows instead. Substantiation of
this claim comes from recent outflow surveys and high angular resolution mid-IR
imaging of the maser environments.


title:
Existence and symmetry of minimizers for nonconvex radially symmetric
  variational problems

abstract:
  Nonconvex functionals with spherical symmetry are studied. Existence of one
and radial symmetry of all global minimizers is shown with an approach based on
convex relaxation.


title: On the number of collisions in $\Lambda$-coalescents

abstract:
  We examine the total number of collisions $C_n$ in the $\Lambda$-coalescent
process which starts with $n$ particles. A linear growth and a stable limit law
for $C_n$ are shown under the assumption of a power-like behaviour of the
measure $\Lambda$ near 0 with exponent $0<\alpha<1$.


title: An abundance of invariant polynomials satisfying the Riemann hypothesis

abstract:
  In 1999, Iwan Duursma defined the zeta function for a linear code as a
generating function of its Hamming weight enumerator. It can also be defined
for other homogeneous polynomials not corresponding to existing codes. If the
homogeneous polynomial is invariant under the MacWilliams transform, then its
zeta function satisfies a functional equation and we can formulate an analogue
of the Riemann hypothesis. As far as existing codes are concerned, the Riemann
hypothesis is believed to be closely related to the extremal property.
  In this article, we show there are abundant polynomials invariant by the
MacWilliams transform which satisfy the Riemann hypothesis. The proof is
carried out by explicit construction of such polynomials. To prove the Riemann
hypothesis for a certain class of invariant polynomials, we establish an
analogue of the Enestr"om-Kakeya theorem.


title: Acyclic Preference Systems in P2P Networks

abstract:
  In this work we study preference systems natural for the Peer-to-Peer
paradigm. Most of them fall in three categories: global, symmetric and
complementary. All these systems share an acyclicity property. As a
consequence, they admit a stable (or Pareto efficient) configuration, where no
participant can collaborate with better partners than their current ones. We
analyze the representation of the such preference systems and show that any
acyclic system can be represented with a symmetric mark matrix. This gives a
method to merge acyclic preference systems and retain the acyclicity. We also
consider such properties of the corresponding collaboration graph, as
clustering coefficient and diameter. In particular, studying the example of
preferences based on real latency measurements, we observe that its stable
configuration is a small-world graph.


title: Ensemble Learning for Free with Evolutionary Algorithms ?

abstract:
  Evolutionary Learning proceeds by evolving a population of classifiers, from
which it generally returns (with some notable exceptions) the single
best-of-run classifier as final result. In the meanwhile, Ensemble Learning,
one of the most efficient approaches in supervised Machine Learning for the
last decade, proceeds by building a population of diverse classifiers. Ensemble
Learning with Evolutionary Computation thus receives increasing attention. The
Evolutionary Ensemble Learning (EEL) approach presented in this paper features
two contributions. First, a new fitness function, inspired by co-evolution and
enforcing the classifier diversity, is presented. Further, a new selection
criterion based on the classification margin is proposed. This criterion is
used to extract the classifier ensemble from the final population only
(Off-line) or incrementally along evolution (On-line). Experiments on a set of
benchmark problems show that Off-line outperforms single-hypothesis
evolutionary learning and state-of-art Boosting and generates smaller
classifier ensembles.


title: Area laws in quantum systems: mutual information and correlations

abstract:
  The holographic principle states that on a fundamental level the information
content of a region should depend on its surface area rather than on its
volume. This counterintuitive idea which has its roots in the nonextensive
nature of black-hole entropy serves as a guiding principle in the search for
the fundamental laws of Planck-scale physics. In this paper we show that a
similar phenomenon emerges from the established laws of classical and quantum
physics: the information contained in part of a system in thermal equilibrium
obeys an area law. While the maximal information per unit area depends
classically only on the number of microscopic degrees of freedom, it may
diverge as the inverse temperature in quantum systems. A rigorous relation
between area laws and correlations is established and their explicit behavior
is revealed for a large class of quantum many-body states beyond equilibrium
systems.


title:
Developments in entanglement theory and applications to relevant
  physical systems

abstract:
  This Thesis is devoted to the analysis of entanglement in relevant physical
systems. Entanglement is the conducting theme of this research, though I do not
dedicate to a single topic, but consider a wide scope of physical situations. I
have followed mainly three lines of research for this Thesis, with a series of
different works each, which are, Entanglement and Relativistic Quantum Theory,
Continuous-variable entanglement, and Multipartite entanglement.


title: A globular cluster in the dwarf galaxy Sextans B

abstract:
  We present spectroscopic observations of a massive globular cluster in the
dwarf irregular galaxy Sextans B, discovered by us on Hubble Space Telescope
Wide Field and Planetary Camera 2 (HST WFPC2) images. Long-slit spectra were
obtained with the SCORPIO spectrograph on the the 6-m telescope at the Special
Astrophysical observatory of the Russian Academy of Sciences. We determine age,
metallicity and alpha-element abundance ratio for the globular cluster to be $
2 \pm 1$ Gyr, $-1.35 \pm 0.25$ dex, and $ 0.1 \pm 0.1$ dex, respectively. Main
photometric and structural parameters of it were determined using our surface
photometry on the HST images. The mass ($\sim 10^5 M \sun$), luminosity and
structural parameters appear to be typical for the globular clusters in our own
Galaxy. Our findings shed a new light on the evolutionary history of Sextans B.


title:
Measurement of the Lambda_b lifetime in the exclusive decay Lambda_b to
  J/psi Lambda

abstract:
  We have measured the Lambda_b lifetime using the exclusive decay Lambda_b to
J/psi Lambda, based on 1.2 fb-1 of data collected with the D0 detector during
2002-2006. From 171 reconstructed Lambda_b decays, where the J/psi and Lambda
are identified via the decays J/psi to mu+ mu- and Lambda to p pi, we measured
the Lambda_b lifetime to be tau(Lambda_b) = 1.218(+0.130,-0.115)(stat) +/-
0.042(syst)ps. We also measured the B0 lifetime in the decay B0 to J/psi(mu+
mu-)K0_S(pi+ pi-) to be tau(B0) = 1.501(+0.078,-0.074)(stat) +/ -0.050(syst)ps,
yielding a lifetime ratio of tau(Lambda_b)/tau(B0) = 0.811(+0.096,-0.087)(stat)
+/ -0.034(syst). These measurements are consistent with the current world
averages and support the shorter lifetime of the Lambda_b with respect to B
mesons, in contrast to another recent measurement of significant precision.


title: Cascading on extragalactic background light

abstract:
  High-energy gamma-rays propagating in the intergalactic medium can interact
with background infrared photons to produce e+e- pairs, resulting in the
absorption of the intrinsic gamma-ray spectrum. TeV observations of the distant
blazar 1ES 1101-232 were thus recently used to put an upper limit on the
infrared extragalactic background light density. The created pairs can
upscatter background photons to high energies, which in turn may pair produce,
thereby initiating a cascade. The pairs diffuse on the extragalactic magnetic
field (EMF) and cascade emission has been suggested as a means for measuring
its intensity. Limits on the IR background and EMF are reconsidered taking into
account cascade emissions. The cascade equations are solved numerically.
Assuming a power-law intrinsic spectrum, the observed 100 MeV - 100 TeV
spectrum is found as a function of the intrinsic spectral index and the
intensity of the EMF. Cascades emit mainly at or below 100 GeV. The observed
TeV spectrum appears softer than for pure absorption when cascade emission is
taken into account. The upper limit on the IR photon background is found to be
robust. Inversely, the intrinsic spectra needed to fit the TeV data are
uncomfortably hard when cascade emission makes a significant contribution to
the observed spectrum. An EMF intensity around 1e-8 nG leads to a
characteristic spectral hump in the GLAST band. Higher EMF intensities divert
the pairs away from the line-of-sight and the cascade contribution to the
spectrum becomes negligible.


title: Distal actions and ergodic actions on compact groups

abstract:
  Let $K$ be a compact metrizable group and $\Ga$ be a group of automorphisms
of $K$. We first show that each $\ap \in \Ga$ is distal on $K$ implies $\Ga$
itself is distal on $K$, a local to global correspondence provided $\Ga$ is a
generalized $\ov{FC}$-group or $K$ is a connected finite-dimensional group. We
show that $\Ga$ contains an ergodic automorphism when $\Ga$ is nilpotent and
ergodic on a connected finite-dimensional compact abelian group $K$.


title: Quasi elementary contractions of Fano manifolds

abstract:
  Let X be a smooth complex Fano variety. We define and study 'quasi
elementary' contractions of fiber type f: X -> Y. These have the property that
rho(X) is at most rho(Y)+rho(F), where rho is the Picard number and F is a
general fiber of f. In particular any elementary extremal contraction of fiber
type is quasi elementary. We show that if Y has dimension at most 3 and Picard
number at least 4, then Y is smooth and Fano; if moreover rho(Y) is at least 6,
then X is a product. This yields sharp bounds on rho(X) when dim(X)=4 and X has
a quasi elementary contraction, and other applications in higher dimensions.


title: A Note on Chiral Symmetry Breaking from Intersecting Branes

abstract:
  In this paper, we will consider the chiral symmetry breaking in the
holographic model constructed from the intersecting brane configuration, and
investigate the Nambu-Goldstone bosons associated with this symmetry breaking.


title: One-loop phi-MHV amplitudes using the unitarity bootstrap

abstract:
  We consider a Higgs boson coupled to gluons via the five-dimensional
effective operator H Tr G_{munu}G^{munu} produced by considering the heavy top
quark limit of the one-loop coupling of Higgs and gluons in the standard model.
We treat H as the real part of a complex field phi that couples to the selfdual
gluon field strengths and compute the one-loop corrections to amplitudes
involving phi, two colour adjacent negative helicity gluons and an arbitrary
number of positive helicity gluons - the so-called phi-MHV amplitudes. We use
four-dimensional unitarity to construct the cut-containing contributions and
the recently developed recursion relations to obtain the rational contribution
for an arbitrary number of external gluons. We solve the recursion relations
and give explicit results for up to four external gluons. These amplitudes are
relevant for Higgs plus jet production via gluon fusion in the limit where the
top quark mass is large compared to all other scales in the problem.


title: NBODY meets stellar population - The HYDE-PARC Project

abstract:
  N-body simulations give us a rough idea of how the shape of a simulated
object appears in three-dimensional space. From an observational point of view
this may give us a misleading picture. The faint stars may be the most common
stars in the system but the morphological information obtained by observations
of an object may be dominated by the color properties of the bright stars. Due
to dynamical effects, such as energy equipartition, different masses of stars
may populate different regions in the object. Since stars are evolving in mass
the stellar evolution may also influence the dynamics of the system. Hence, if
one is interested in simulating what the morphology will look like through a
telescope, one needs to simulate in addition evolving stars and weight them by
their luminosity. Therefore we need to combine simulations of the dynamical
evolution and a stellar population synthesis at the same time. For the
dynamical evolution part we use a parallel version of a direct N-body code,
NBODY6++. This code also includes stellar evolution. We link the parameters
from this stellar evolution routine to the BaSeL 2.0 stellar library. For
isolated clusters we found results assimilable to standard stellar population
synthesis codes such as the PEGASE code. For clusters in a tidal field we found
that the integrated colors become relatively bluer due to energy equipartition
effects. In the time shortly before dissolution of the cluster the stellar M/L
ratio becomes lower compared to isolated clusters. We compared the results of
our simulations to integrated spectra of galactic globular clusters. For the
cluster NGC 1851 we found good agreement between simulation and observation.
For extragalactic clusters in M81 and M31 we looked at medium band spectral
energy distributions and found for some clusters also a good agreement.


title: The Gehring Lemma in Metric Spaces

abstract:
  We present a proof for the Gehring lemma in a metric measure space endowed
with a doubling measure. As an application we show the self improving property
of Muckenhoupt weights.


title:
A fully microscopical simulation of nuclear collisions by a new QMD
  model

abstract:
  Nucleon-ion and ion-ion collisions at non relativistic bombarding energies
can be described by means of Monte Carlo approaches, such as those based on the
Quantum Molecular Dynamics (QMD) model. We have developed a QMD code, to
simulate the fast stage of heavy-ion reactions, and we have coupled it to the
de-excitation module available in the FLUKA Monte Carlo transport and
interaction code. The results presented in this work span the projectile
bombarding energy range within 200 - 600 MeV/A, allowing to investigate the
capabilities and limits of our non-relativistic QMD approach.


title: Domain-wall/Cosmology correspondence in adS/dS supergravity

abstract:
  We realize the domain-wall/cosmology correspondence for
(pseudo)supersymmetric domain walls (cosmologies) in the context of
four-dimensional supergravity. The OSp(2|4)-invariant anti-de Sitter (adS)
vacuum of a particular N=2 Maxwell-Einstein supergravity theory is shown to
correspond to the OSp(2^*|2,2)-invariant de Sitter (dS) vacuum of a particular
pseudo-supergravity model, with `twisted' reality conditions on spinors. More
generally, supersymmetric domain walls of the former model correspond to
pseudo-supersymmetric cosmologies of the latter model, with time-dependent
pseudo-Killing spinors that we give explicitly.


title:
On over-reflection and generation of Gravito-Alfven waves in solar-type
  stars

abstract:
  The dynamics of linear perturbations is studied in magnetized plasma shear
flows with a constant shearing rate and with gravity-induced stratification.
The general set of linearized equations is derived and the two-dimensional case
is considered in detail. The Boussinesq approximation is used in order to
examine relatively small-scale perturbations of low-frequency modes:
Gravito-Alfven waves (GAW) and Entropy Mode (EM) perturbations. It is shown
that for flows with arbitrary shearing rate there exists a finite time interval
of non-adiabatic evolution of the perturbations. The non-adiabatic behavior
manifests itself in a twofold way, viz. by the over-reflection of the GAWs and
by the generation of GAWs from EM perturbations. It is shown that these
phenomena act as efficient transformers of the equilibrium flow energy into the
energy of the perturbations for moderate and high shearing rate solar plasma
flows. Efficient generation of GAW by EM takes place for shearing rates about
an order of magnitude smaller than necessary for development of a shear
instability. The latter fact could have important consequences for the problem
of angular momentum redistribution within the Sun and solar-type stars.


title: Orbifold GUT inflation

abstract:
  We consider a scenario of cosmological inflation coming from a grand unified
theory in higher dimensional orbifold. Flatness of the potential is
automatically guaranteed in this orbifold setup thanks to the nonlocality of
the Wilson line on higher dimensions and the local quantum gravitational
corrections are exponentially suppressed. The spectral index of scalar
perturbation (n_s =0.92 - 0.97) and a significant production of gravitational
waves are predicted (r= T/S= 0.01 - 0.12) in the perturbative regime of gauge
interaction, (1/g_4 = (5-20) X 2 pi R Mpl) where the size of compactification
is constrained (R Mpl = 20- 45) by the measurement of scalar power spectrum
(Delta_R = 5 X 10^-5).


title:
Sharp thresholds of blow-up and global existence for the coupled
  nonlinear Schrodinger system

abstract:
  In this paper, we establish two new types of invariant sets for the coupled
nonlinear Schrodinger system on $\mathbb{R}^n$, and derive two sharp thresholds
of blow-up and global existence for its solution. Some analogous results for
the nonlinear Schrodinger system posed on the hyperbolic space $\mathbb{H}^n$
and on the standard 2-sphere $\mathbb{S}^2$ are also presented. Our arguments
and constructions are improvements of some previous works on this direction. At
the end, we give some heuristic analysis about the strong instability of the
solitary waves.


title:
Smoothness of the law of some one-dimensional jumping S.D.E.s with
  non-constant rate of jump

abstract:
  We consider a one-dimensional jumping Markov process $\{X^x_t\}_{t \geq 0}$,
solving a Poisson-driven stochastic differential equation. We prove that the
law of $X^x_t$ admits a smooth density for $t>0$, under some regularity and
non-degeneracy assumptions on the coefficients of the S.D.E. To our knowledge,
our result is the first one including the important case of a non-constant rate
of jump. The main difficulty is that in such a case, the map $x \mapsto X^x_t$
is not smooth. This seems to make impossible the use of Malliavin calculus
techniques. To overcome this problem, we introduce a new method, in which the
propagation of the smoothness of the density is obtained by analytic arguments.


title:
Unusual doping and temperature dependence of photoemission spectra from
  manganites

abstract:
  A recent, major, puzzle in the core-level photoemission spectra of doped
manganites is the observation of a 1-2 eV wide shoulder with intensity varying
with temperature T as the square of the magnetization over a T scale of order
200K, an order of magnitude less than electronic energies. This is addressed
and resolved here, by extending a recently proposed two electron fluid l-b
model for these systems to include core-hole effects. The shoulder arises from
a rapid redistribution of e_g electron density, as a function of T, between the
highly localized (l) and band-like (b) states. Furthermore, our theory leads to
a correspondence between spectral changes due to increasing doping and
decreasing T, as experimentally observed.


title: Higgs effect in Conformal Cosmology & Supernova Data

abstract:
  The formulation of the Higgs effect is studied in the
Glashow--Weinberg--Salam Standard Model, where the constant part of the Higgs
potential is identified with the zeroth mode of the Higgs field. In this model,
the Coleman--Weinberg effective potential obtained from the vacuum--vacuum
transition amplitude is equal to unity at the extremum. This extremum
immediately removes tremendous vacuum cosmological density and predicts mass of
Higgs field. In this model, the kinetic energy density of the Higgs field and
any scalar field can be treated as the rigid state origin that explains
Supernova data in the conformal cosmology without the $\Lambda$ term.


title:
Dark matter in the Milky Way, II. the HI gas distribution as a tracer of
  the gravitational potential

abstract:
  Context. Gas within a galaxy is forced to establish pressure balance against
gravitational forces. The shape of an unperturbed gaseous disk can be used to
constrain dark matter models. Aims. We derive the 3-D HI volume density
distribution for the Milky Way out to a galactocentric radius of 40 kpc and a
height of 20 kpc to constrain the Galactic mass distribution. Methods. We used
the Leiden/Argentine/Bonn all sky 21-cm line survey. The transformation from
brightness temperatures to densities depends on the rotation curve. We explored
several models, reflecting different dark matter distributions. Each of these
models was set up to solve the combined Poisson-Boltzmann equation in a
self-consistent way and optimized to reproduce the observed flaring. Results.
Besides a massive extended halo of M ~ 1.8 10^{12} Msun, we find a
self-gravitating dark matter disk with M=2 to 3 10^{11} Msun, including a dark
matter ring at 13 < R < 18.5 kpc with M = 2.2 to 2.8 10^{10} Msun. The
existence of the ring was previously postulated from EGRET data and coincides
with a giant stellar structure that surrounds the Galaxy. The resulting Milky
Way rotation curve is flat up to R~27 kpc and slowly decreases outwards. The
\hi gas layer is strongly flaring. The HWHM scale height is 60 pc at R = 4 kpc
and increases to ~2700$ pc at R=40 kpc. Spiral arms cause a noticeable imprint
on the gravitational field, at least out to R = 30 kpc. Conclusions. Our mass
model supports previous proposals that the giant stellar ring structure is due
to a merging dwarf galaxy. The fact that the majority of the dark matter in the
Milky Way for $R \la 40$ kpc can be successfully modeled by a self-gravitating
isothermal disk raises the question of whether this massive disk may have been
caused by similar merger events in the past.


title:
Stabilities of one-dimensional stationary states of Bose-Einstein
  condensates

abstract:
  We explore the dynamical stabilities of a quasi-one dimensional (1D)
Bose-Einstein condensate (BEC) consisting of fixed $N$ atoms with
time-independent external potential. For the stationary states with zero flow
density the general solution of the perturbed time evolution equation is
constructed, and the stability criterions concerning the initial conditions and
system parameters are established. Taking the lattice potential case as an
example, the stability and instability regions on the parameter space are
found. The results suggest a method for selecting experimental parameters and
adjusting initial conditions to suppress the instabilities.


title: Alpha decay chains from element 113

abstract:
  Theoretical estimates of $\alpha$-decay half lives of several nuclei in the
decay from element 113 are presented. Calculations in a WKB framework using
DDM3Y interaction and experimental Q-values are in good agreement with the
experimental data. Half life calculations are found to be quite sensitive to
the Q-values and angular momenta transfers. Calculated decay lifetime
decreases, owing to more penetrability as well as thinner barrier, as Q-value
increases. Deviations to this predominant behaviour observed in some recent
experimental data may be attributed to non zero spin-parities in some cases.


title: Spin lifetime in silicon in the presence of parasitic electronic effects

abstract:
  A hybrid ferromagnet/semiconductor device is used to determine a lower bound
on the spin lifetime for conduction electrons in silicon. We use spin
precession to self-consistently measure the drift velocity vs. drift field of
spin-polarized electrons and use this electronic control to change the transit
time between electron injection and detection. A measurement of normalized
magnetocurrent as a function of drift velocity is used with a simple
exponential-decay model to argue that the lifetime obtained (~2 ns) is
artificially lowered by electronic effects and is likely orders of magnitude
higher.


title: Cascade hypernuclear production spectra at J-PARC

abstract:
  We predict cascade hypernuclear production spectra expected in the
forthcoming J-PARC experiment. In the Green's function method of the distorted
wave impulse wave approximation with the local optimal Fermi averaging
t-matrix, we can describe the Xi production spectra in the continuum and bound
state region reasonably well. Predictions to the high resonlution spectra at
J-PARC suggest hat we should observe Xi bound state peak structure in (K-,K+)
spectra in light nuclear targets such as 12C and 27Al.


title:
The KATRIN sensitivity to the neutrino mass and to right-handed currents
  in beta decay

abstract:
  The aim of the KArlsruhe TRItium Neutrino experiment KATRIN is the
determination of the absolute neutrino mass scale down to 0.2 eV, with
essentially smaller model dependence than from cosmology and neutrinoless
double beta decay. For this purpose, the integral electron energy spectrum is
measured close to the endpoint of molecular tritium beta decay. The endpoint,
together with the neutrino mass, should be fitted from the KATRIN data as a
free parameter. The right-handed couplings change the electron energy spectrum
close to the endpoint, therefore they have some effect also to the precise
neutrino mass determination. The statistical calculations show that, using the
endpoint as a free parameter, the unaccounted right-handed couplings
constrained by many beta decay experiments can change the fitted neutrino mass
value, relative to the true neutrino mass, by not larger than about 5-10 %.
Using, incorrectly, the endpoint as a fixed input parameter, the above change
of the neutrino mass can be much larger, order of 100 %, and for some cases it
can happen that for large true neutrino mass value the fitted neutrino mass
squared is negative. Publications using fixed endpoint and presenting large
right-handed coupling effects to the neutrino mass determination are not
relevant for the KATRIN experiment.


title: The Complexity of Model Checking Higher-Order Fixpoint Logic

abstract:
  Higher-Order Fixpoint Logic (HFL) is a hybrid of the simply typed
\lambda-calculus and the modal \lambda-calculus. This makes it a highly
expressive temporal logic that is capable of expressing various interesting
correctness properties of programs that are not expressible in the modal
\lambda-calculus.
  This paper provides complexity results for its model checking problem. In
particular we consider those fragments of HFL built by using only types of
bounded order k and arity m. We establish k-fold exponential time completeness
for model checking each such fragment. For the upper bound we use fixpoint
elimination to obtain reachability games that are singly-exponential in the
size of the formula and k-fold exponential in the size of the underlying
transition system. These games can be solved in deterministic linear time. As a
simple consequence, we obtain an exponential time upper bound on the expression
complexity of each such fragment.
  The lower bound is established by a reduction from the word problem for
alternating (k-1)-fold exponential space bounded Turing Machines. Since there
are fixed machines of that type whose word problems are already hard with
respect to k-fold exponential time, we obtain, as a corollary, k-fold
exponential time completeness for the data complexity of our fragments of HFL,
provided m exceeds 3. This also yields a hierarchy result in expressive power.


title: Dynamical friction force exerted on spherical bodies

abstract:
  We present a rigorous calculation of the dynamical friction force exerted on
a spherical massive perturber moving through an infinite homogenous system of
field stars. By calculating the shape and mass of the polarization cloud
induced by the perturber in the background system, which decelerates the motion
of the perturber, we recover Chandrasekhar's drag force law with a modified
Coulomb logarithm. As concrete examples we calculate the drag force exerted on
a Plummer sphere or a sphere with the density distribution of a Hernquist
profile. It is shown that the shape of the perturber affects only the exact
form of the Coulomb logarithm. The latter converges on small scales, because
encounters of the test and field stars with impact parameters less than the
size of the massive perturber become inefficient. We confirm this way earlier
results based on the impulse approximation of small angle scatterings.


title: Testing entropy production hypotheses in non-linear steady states

abstract:
  In the last few decades, some hypotheses for entropy production (EP)
principles have been forwarded as possible candidates for organizational
principles in non-linear non- equilibrium systems. Two important hypotheses
will be studied: the maximum entropy production (MaxEP) principle that claims
that the selected steady state has the highest EP, and the gradient response
principle that claims that the EP of the selected steady state (maximally)
increases when the external thermodynamic driving force increases. We will
formulate these hypotheses more rigorously and present a simple chemical
reaction model to test these hypotheses. With the help of this model, we will
clearly demonstrate that there are different MaxEP hypotheses being discussed
in the literature and we will look at some parts in the literature where these
differences are not always clarified. Furthermore, our chemical model will be a
general counter example to all of these MaxEP and gradient response hypotheses.


title: Signals of Very High Energy Neutralinos in Future Cosmic Ray Detectors

abstract:
  ``Top--down'' models explain the observation of ultra high energy cosmic rays
(UHECR; $E \gsim 5 \cdot 10^{19}$ eV) through the decay of very massive,
long--lived ``$X$ particles''. If superparticles with masses near a TeV exist,
$X$ decays also lead to a significant flux of very energetic neutralinos,
assumed to be the (stable or long--lived) lightest superparticles. There is a
range of energies where neutrinos get absorbed in the Earth, but neutralinos
can still traverse it. These neutralinos could in principle be detected. We
calculate the detection rate in planned experiments such as OWL and EUSO. For
bino--like neutralinos, which have been considered previously, we find
detection rates below 1 event per Teraton of target and year in all cases;
often the rates are much smaller. In contrast, if the neutralino is
higgsino--like, more than ten events per year per Teraton might be observed, if
the mass of the $X$ particle is near its lower bound of $\sim 10^{12}$ GeV.


title: Subgroups of direct products of limit groups

abstract:
  If $G_1,...,G_n$ are limit groups and $S\subset G_1\times...\times G_n$ is of
type $\FP_n(\mathbb Q)$ then $S$ contains a subgroup of finite index that is
itself a direct product of at most $n$ limit groups. This settles a question of
Sela.


title: Hidden past of dark energy cosmological models

abstract:
  In this paper we analyse the possibility of having homogeneous isotropic
cosmological models with observers reaching $t=\infty$ in finite proper time.
It is shown that just observationally-suggested dark energy models with
$w\in(-5/3,-1)$ show this feature and that they are endowed with an exotic
curvature singularity. Furthermore, it is shown that non-accelerated observers
in these models may experience a duration of the universe as short as desired
by increasing their linear momentum. A subdivision of phantom models in two
families according to this behavior is suggested.


title: Multifractal Analysis of inhomogeneous Bernoulli products

abstract:
  We are interested to the multifractal analysis of inhomogeneous Bernoulli
products which are also known as coin tossing measures. We give conditions
ensuring the validity of the multifractal formalism for such measures. On
another hand, we show that these measures can have a dense set of phase
transitions.


title: Classical dispersion-cancellation interferometry

abstract:
  Even-order dispersion cancellation, an effect previously identified with
frequency-entangled photons, is demonstrated experimentally for the first time
with a linear, classical interferometer. A combination of a broad bandwidth
laser and a high resolution spectrometer was used to measure the intensity
correlations between anti-correlated optical frequencies. Only 14% broadening
of the correlation signal is observed when significant material dispersion,
enough to broaden the regular interferogram by 4250%, is introduced into one
arm of the interferometer.


title: Monopoles, Curves and Ramanujan

abstract:
  We develop the Ercolani-Sinha construction of SU(2) monopoles and make this
effective for (a five parameter family of centred) charge 3 monopoles. In
particular we show how to solve the transcendental constraints arising on the
spectral curve. For a class of symmetric curves the transcendental constraints
become a number theoretic problem and a recently proven identity of Ramanujan
provides a solution.


title: An obstruction to a knot being deform-spun via Alexander polynomials

abstract:
  We show that if a co-dimension two knot is deform-spun from a
lower-dimensional co-dimension 2 knot, there are constraints on the Alexander
polynomials. In particular this shows, for all n, that not all co-dimension 2
knots in S^n are deform-spun from knots in S^{n-1}.


title: Bimodal AGNs in Bimodal Galaxies

abstract:
  By their star content, the galaxies split out into a red and a blue
population; their color index peaked around u-r=2.5 or u-r=1, respectively,
quantifies the ratio of the blue stars newly formed from cold galactic gas, to
the redder ones left over by past generations. On the other hand, upon
accreting substantial gas amounts the central massive black holes energize
active galactic nuclei (AGNs); here we investigate whether these show a
similar, and possibly related, bimodal partition as for current accretion
activity relative to the past. To this aim we use an updated semianalytic
model; based on Monte Carlo simulations, this follows with a large statistics
the galaxy assemblage, the star generations and the black hole accretions in
the cosmological framework over the redshift span from z=10 to z=0. We test our
simulations for yielding in close detail the observed split of galaxies into a
red, early and a blue, late population. We find that the black hole accretion
activities likewise give rise to two source populations: early, bright quasars
and later, dimmer AGNs. We predict for their Eddington parameter $\lambda_E$ --
the ratio of the current to the past black hole accretions -- a bimodal
distribution; the two branches sit now under $\lambda_E \approx 0.01$ (mainly
contributed by low-luminosity AGNs) and around $\lambda_E \approx 0.3-1$. These
not only mark out the two populations of AGNs, but also will turn out to
correlate strongly with the red or blue color of their host galaxies.


title:
Separability Criterion for multipartite quantum states based on the
  Bloch representation of density matrices

abstract:
  We give a new separability criterion, a necessary condition for separability
of $N$-partite quantum states. The criterion is based on the Bloch
representation of a $N$-partite quantum state and makes use of multilinear
algebra, in particular, the matrization of tensors. Our criterion applies to
{\it arbitrary} $N$-partite quantum states in
$\mathcal{H}=\mathcal{H}^{d_1}\otimes \mathcal{H}^{d_2} \otimes ... \otimes
\mathcal{H}^{d_N}.$ The criterion can test whether a $N$-partite state is
entangled and can be applied to different partitions of the $N$-partite system.
We provide examples that show the ability of this criterion to detect
entanglement. We show that this criterion can detect bound entangled states. We
prove a sufficiency condition for separability of a 3-partite state,
straightforwardly generalizable to the case $N > 3,$ under certain condition.
We also give a necessary and sufficient condition for separability of a class
of $N$-qubit states which includes $N$-qubit PPT states.


title:
Signatures of SUSY Dark Matter at the LHC and in the Spectra of Cosmic
  Rays

abstract:
  This thesis discusses the search for supersymmetry at the future Large Hadron
Collider (LHC) and the ongoing construction of one of the four large LHC
experiments, the Compact Muon Solenoid (CMS), and focuses on the detection of
signals from the annihilation of supersymmetric dark matter in the spectra of
cosmic rays.
  Measurements of cosmic ray antiparticles, such as positrons, can impose
strong constraints on the nature of new physics beyond the Standard Model.
However, cosmic ray positron measurements are experimentally very challenging
due to the vast proton background. A novel approach of positron identification
with the space-borne AMS-01 experiment, namely through the detection of
bremsstrahlung conversion in a silicon microstrip detector, is introduced.
Bremsstrahlung from protons is suppressed by a factor of more than 3*10^6 with
respect to positrons. The results of the positron measurement show that the
bremsstrahlung approach extends the sensitivity range of AMS-01 to positron
momenta up to 50 GeV/c, which is far beyond the original scope of the
experiment. At momenta above 8 GeV/c there is indication for a positron
overabundance with respect to model predictions for purely secondary positron
production. Therefore, the AMS-01 data lend further weight to the hints of a
positron overabundance seen in the data from earlier experiments.
  The positron fraction measurements from the most recent experiments are
combined with the results of this analysis, giving the most precise positron
fraction data yet available.


title:
Simultaneous Radio to (Sub-) mm-Monitoring of Variability and Spectral
  Shape Evolution of potential GLAST Blazars

abstract:
  The Large Area Telescope (LAT) instrument onboard GLAST offers a tremendous
opportunity for future blazar studies. In order to fully benefit from its
capabilities and to maximize the scientific return from the LAT, it is of great
importance to conduct dedicated multi-frequency monitoring campaigns that will
result comprehensive observations. Consequently, we initiated an effort to
conduct a GLAST-dedicated, quasi-simultaneous, broad-band flux-density (and
polarization) monitoring of potential GLAST blazars with the Effelsberg and
OVRO radio telescopes (11cm to 7mm wavelength). Here, we present a short
overview of these activities which will complement the multi-wavelengths
activities of the GLAST/LAT collaboration towards the 'low-energy' radio bands.
Further we will give a brief outlook including the extension of this
coordinated campaign towards higher frequencies and future scientific aims.


title:
Extra energy coupling through subwavelength hole arrays via stochastic
  resonance

abstract:
  Interaction between metal surface waves and periodic geometry of
subwavelength structures is at the core of the recent but crucial renewal of
interest in plasmonics. One of the most intriguing points is the observation of
abnormal strong transmission through these periodic structures, which can
exceed by orders of magnitude the classical transmission given by the filling
factor of the plate. The actual paradigm is that this abnormal transmission
arises from the periodicity, and then that such high transmission should
disappear in random geometries. Here, we show that extra energy can be coupled
through the subwavelength structure by adding a controlled quantity of noise to
the position of the apertures. This result can be modelled in the statistical
framework of stochastic resonance. The evolution of the coupled energy with
respect to noise gives access to the extra energy coupled at the surface of the
subwavelength array.


title: Excision for K-theory of connective ring spectra

abstract:
  We extend Geisser and Hesselholt's result on ``bi-relative K-theory'' from
discrete rings to connective ring spectra. That is, if $\mathcal A$ is a
homotopy cartesian $n$-cube of ring spectra (satisfying connectivity
hypotheses), then the $(n+1)$-cube induced by the cyclotomic trace $$K(\mathcal
A)\to TC(\mathcal A)$$ is homotopy cartesian after profinite completion. In
other words, the fiber of the profinitely completed cyclotomic trace satisfies
excision.


title:
A study of uranium-based multilayers: I. Fabrication and structural
  characterisation

abstract:
  This paper addresses the structural characterisation of a series of U/Fe,
U/Co and U/Gd multilayers. X-ray reflectivity has been employed to investigate
the layer thickness and roughness parameters along the growth direction and
high-angle diffraction measurements have been used to determine the crystal
structure and orientation of the layers. For the case of uranium/transition
metal systems, the interfaces are diffuse and the transition metals are present
in a polycrystalline form of their common bulk phases with a preferred
orientation along the closest packed planes; Fe, bcc (110) and Co, hcp (001),
respectively. The uranium is present in a poorly crystalline orthorhombic,
alpha-U state. In contrast, the U/Gd multilayers have sharp interfaces with
negligible intermixing of atomic species, and have a roughness, which is
strongly dependent on the gadolinium layer thickness. Diffraction spectra
indicate a high degree of crystallinity in both U and Gd layers with
intensities consistent with the growth of a novel hcp U phase, stabilised by
the hcp gadolinium layers.


title: The Worm-Like Chain Theory And Bending Of Short DNA

abstract:
  The probability distributions for bending angles in double helical DNA
obtained in all-atom molecular dynamics simulations are compared with
theoretical predictions. The computed distributions remarkably agree with the
worm-like chain theory for double helices of one helical turn and longer, and
qualitatively differ from predictions of the semi-elastic chain model. The
computed data exhibit only small anomalies in the apparent flexibility of short
DNA and cannot account for the recently reported AFM data (Wiggins et al,
Nature nanotechnology 1, 137 (2006)). It is possible that the current atomistic
DNA models miss some essential mechanisms of DNA bending on intermediate length
scales. Analysis of bent DNA structures reveals, however, that the bending
motion is structurally heterogeneous and directionally anisotropic on the
intermediate length scales where the experimental anomalies were detected.
These effects are essential for interpretation of the experimental data and
they also can be responsible for the apparent discrepancy.


title: 35% magnetocurrent with spin transport through Si

abstract:
  Efficient injection of spin-polarized electrons into the conduction band of
silicon is limited by the formation of a silicide at the ferromagnetic metal
(FM)/silicon interface. In the present work, this "magnetically-dead" silicide
(where strong spin-scattering significantly reduces injected spin polarization)
is eliminated by moving the FM in the spin injector from the tunnel junction
base anode to the emitter cathode and away from the silicon surface. This
results in over an order-of-magnitude increase in spin injection efficiency,
from a previously-reported magnetocurrent ratio of ~2% to ~35% and an estimated
spin polarization in Si from ~1% to at least ~15%. The injector tunnel-junction
bias dependence of this spin transport signal is also measured, demonstrating
the importance of low bias voltage to preserve high injected spin polarization.


title:
Backward Compton Scattering and QED with Noncommutative Plane in the
  Strong Uniform Magnetic Field

abstract:
  In the strong uniform magnetic field, the noncommutative plane (NCP) caused
by the lowest Landau level (LLL) effect, and QED with NCP (QED-NCP) are
studied. Being similar to the condensed matter theory of quantum Hall effect,
an effective filling factor $f(B)$ is introduced to character the possibility
that the electrons stay on the LLL. The analytic and numerical results of the
differential cross section for the process of backward Compton scattering in
the accelerator with unpolarized or polarized initial photons are calculated.
The existing data of BL38B2 in Spring-8 have been analyzed roughly and compared
with the numerical predictions primitively. We propose a precise measurement of
the differential cross sections of backward Compton scattering in a strong
perpendicular magnetic field, which may lead to reveal the effects of QED-NCP.


title: On the necessity of new ramification breaks

abstract:
  Ramification invariants are necessary, but not in general sufficient, to
determine the Galois module structure of ideals in local number field
extensions. This insufficiency is associated with elementary abelian
extensions, where one can define a refined ramification filtration -- one with
more ramification breaks [JNTB 17 (2005)]. The first refined break number comes
from the usual ramification filtration and is therefore necessary. Here we
study the second refined break number.


title: Complex asymptotics of Poincar\'e functions and properties of Julia sets

abstract:
  The asymptotic behaviour of the solutions of Poincar\'e's functional equation
  $f(\lambda z)=p(f(z))$ ($\lambda>1$) for $p$ a real polynomial of degree
  $\geq2$ is studied in angular regions of the complex plain. The constancy of
an occurring periodic function is characterised in terms of geometric
properties of the Julia set of $p$. For real Julia sets we give inequalities
for multipliers of Pommerenke-Levin-Yoccoz type. The distribution of zeros of
$f$ is related to the harmonic measure on the Julia set of $p$.


title:
Kinetic theory of two dimensional point vortices from a BBGKY-like
  hierarchy

abstract:
  Starting from the Liouville equation, we derive the exact hierarchy of
equations satisfied by the reduced distribution functions of the single species
point vortex gas in two dimensions. Considering an expansion of the solution in
powers of 1/N in a proper thermodynamic limit $N\to +\infty$, and neglecting
some collective effects, we derive a kinetic equation satisfied by the smooth
vorticity field which is valid at order $O(1/N)$. This equation was obtained
previously [P.H. Chavanis, Phys. Rev. E, 64, 026309 (2001)] from a more
abstract projection operator formalism. If we consider axisymmetric flows and
make a markovian approximation, we obtain a simpler kinetic equation which can
be studied in great detail. We discuss the properties of these kinetic
equations in regard to the $H$-theorem and the convergence (or not) towards the
statistical equilibrium state. We also study the growth of correlations by
explicitly calculating the time evolution of the two-body correlation function
in the linear regime. In a second part of the paper, we consider the relaxation
of a test vortex in a bath of field vortices and obtain the Fokker-Planck
equation by directly calculating the second (diffusion) and first (drift)
moments of the increment of position of the test vortex. A specificity of our
approach is to obtain general equations, with a clear physical meaning, that
are valid for flows that are not necessarily axisymmetric and that take into
account non-Markovian effects. A limitations of our approach, however, is that
it ignores collective effects.


title: Dalitz Plot Analysis of the D+ --> pi- pi+ pi+ Decay

abstract:
  Using 281 pb^{-1} of data recorded by the CLEO-c detector in e^+e^-
collisions at the psi(3770), corresponding to 0.78 million D^+D^- pairs, we
investigate the substructure of the decay D^+ to pi^- pi^+ pi^+ using the
Dalitz plot technique. We find that our data are consistent with the following
intermediate states: rho(770)pi^+, f_2(1270)pi^+, f_0(1370)pi^+, f_0(1500)pi^+,
f_0(980) pi^+, and sigma pi^+. We confirm large S wave contributions at low pi
pi mass. We set upper limits on contributions of other possible intermediate
states. We consider three models of the pi pi S wave and find that all of them
adequately describe our data.


title:
Characterisation of a three-dimensional Brownian motor in optical
  lattices

abstract:
  We present here a detailed study of the behaviour of a three dimensional
Brownian motor based on cold atoms in a double optical lattice [P. Sjolund et
al., Phys. Rev. Lett. 96, 190602 (2006)]. This includes both experiments and
numerical simulations of a Brownian particle. The potentials used are spatially
and temporally symmetric, but combined spatiotemporal symmetry is broken by
phase shifts and asymmetric transfer rates between potentials. The diffusion of
atoms in the optical lattices is rectified and controlled both in direction and
speed along three dimensions. We explore a large range of experimental
parameters, where irradiances and detunings of the optical lattice lights are
varied within the dissipative regime. Induced drift velocities in the order of
one atomic recoil velocity have been achieved.


title:
Magnetohydrostatic solar prominences in near-potential coronal magnetic
  fields

abstract:
  We present numerical magnetohydrostatic solutions describing the
gravitationally stratified, bulk equilibrium of cool, dense prominence plasma
embedded in a near-potential coronal field. These solutions are calculated
using the FINESSE magnetohydrodynamics equilibrium solver and describe the
morphologies of magnetic field distributions in and around prominences and the
cool prominence plasma that these fields support. The equilibrium condition for
this class of problem is usually different in distinct subdomains, separated by
free boundaries, across which solutions are matched by suitable continuity or
jump conditions describing force balance. We employ our precise finite element
elliptic solver to calculate solutions not accessible by previous analytical
techniques with temperature or entropy prescribed as free functions of the
magnetic flux function, including a range of values of the polytropic index,
temperature variations mainly across magnetic field lines and photospheric
field profiles sheared close to the polarity inversion line. Out of the many
examples computed here, perhaps the most noteworthy is one which reproduces
precisely the three-part structure often encountered in observations: a cool
dense prominence within a cavity/flux rope embedded in a hot corona. The
stability properties of these new equilibria, which may be relevant to solar
eruptions, can be determined in the form of a full resistive MHD spectrum using
a companion hyperbolic stability solver.


title: Erwin Schroedinger, Francis Crick and epigenetic stability

abstract:
  Schroedinger's book 'What is Life?' is widely credited for having played a
crucial role in development of molecular and cellular biology. My essay
revisits the issues raised by this book from the modern perspective of
epigenetics and systems biology. I contrast two classes of potential mechanisms
of epigenetic stability: 'epigenetic templating' and 'systems biology'
approaches, and consider them from the point of view expressed by Schroedinger.
I also discuss how quantum entanglement, a nonclassical feature of quantum
mechanics, can help to address the 'problem of small numbers' that lead
Schroedinger to promote the idea of molecular code-script for explanation of
stability of biological order.


title:
Towards local electromechanical probing of cellular and biomolecular
  systems in a liquid environment

abstract:
  Electromechanical coupling is ubiquitous in biological systems with examples
ranging from simple piezoelectricity in calcified and connective tissues to
voltage-gated ion channels, energy storage in mitochondria, and
electromechanical activity in cardiac myocytes and outer hair cell stereocilia.
Piezoresponse force microscopy (PFM) has originally emerged as a technique to
study electromechanical phenomena in ferroelectric materials, and in recent
years, has been employed to study a broad range of non-ferroelectric polar
materials, including piezoelectric biomaterials. At the same time, the
technique has been extended from ambient to liquid imaging on model
ferroelectric systems. Here, we present results on local electromechanical
probing of several model cellular and biomolecular systems, including insulin
and lysozyme amyloid fibrils, breast adenocarcinoma cells, and
bacteriorhodopsin in a liquid environment. The specific features of SPM
operation in liquid are delineated and bottlenecks on the route towards
nanometer-resolution electromechanical imaging of biological systems are
identified.


title: Optical Devices for Cold Atoms and Bose-Einstein Condensates

abstract:
  The manipulation of cold atoms with optical fields is a very promising
technique for a variety of applications ranging from laser cooling and trapping
to coherent atom transport and matter wave interferometry. Optical fields have
also been proposed as interesting tools for quantum information processing with
cold atoms. In this paper, we present a theoretical study of the dynamics of a
cold 87Rb atomic cloud falling in the gravity field in the presence of two
crossing dipole guides. The cloud is either deflected or split between the two
branches of this guide. We explore the possibilities of optimization of this
device and present preliminary results obtained in the case of zero-temperature
dilute Bose-Einstein condensates.


title: Supernova Asymmetries

abstract:
  All core collapse supernovae are strongly aspherical. The "Bochum event,"
with velocity components displaced symmetrically about the principal H$\alpha$
line, strongly suggests that SN 1987A was a bi-polar rather than a uni-polar
explosion. While there is a general tendency to display a single prominant axis
in images and spectropolarimetry, there is also growing evidence for frequent
departures from axisymmetry. There are various mechanisms that might contribute
to large scale departures from spherical symmetry: jet-induced processes, the
spherical shock accretion instability (SASI) and associated phenomena, and
non-axisymmetric instabilities (NAXI). The MRI gives inevitable production of
large toroidal magnetic fields. In sum: no $\Omega$ without B. The role of
magnetic fields, non-axisymmetric instabilities, and of the de-leptonization
phase are discussed.


title:
Intrinsically universal one-dimensional quantum cellular automata in two
  flavours

abstract:
  We give a one-dimensional quantum cellular automaton (QCA) capable of
simulating all others. By this we mean that the initial configuration and the
local transition rule of any one-dimensional QCA can be encoded within the
initial configuration of the universal QCA. Several steps of the universal QCA
will then correspond to one step of the simulated QCA. The simulation preserves
the topology in the sense that each cell of the simulated QCA is encoded as a
group of adjacent cells in the universal QCA. The encoding is linear and hence
does not carry any of the cost of the computation. We do this in two flavours:
a weak one which requires an infinite but periodic initial configuration and a
strong one which needs only a finite initial configuration. KEYWORDS: Quantum
cellular automata, Intrinsic universality, Quantum computation.


title:
Un th\'eor\`eme de Beilinson-Bernstein pour les D-modules
  arithm\'etiques

abstract:
  One proves a Beilinson-Bernstein theorem in the context of arithmetic
D-modules introduced by Berthelot, for flag varieties. This generalizes in the
arithmetic context previous results of Brylinski-Kashiwara and
Beilinson-Bernstein in the complex case.


title:
Non-monotonic orbital velocity profiles around rapidly rotating
  Kerr-(anti-)de Sitter black holes

abstract:
  It has been recently demonstrated that the orbital velocity profile around
Kerr black holes in the equatorial plane as observed in the locally
non-rotating frame exhibits a non-monotonic radial behaviour. We show here that
this unexpected minimum-maximum feature of the orbital velocity remains if the
Kerr vacuum is generalized to the Kerr-de Sitter or Kerr-anti-de Sitter metric.
This is a new general relativity effect in Kerr spacetimes with non-vanishing
cosmological constant. Assuming that the profile of the orbital velocity is
known, this effect constrains the spacetime parameters.


title:
Measurement of the CKM angle gammma with B-+ ->D^(*)[K0s pi- pi+]K^(*)-+
  decays in BaBar

abstract:
  We report on the measurement of the Cabibbo-Kobayashi-Maskawa angle gamma
through a Dalitz analysis of neutral D decays to K0s pi- pi+ in the processes
B-+ -> D^(*) K-+ and B-+ -> D K^*-+, D^* -> D pi0, D gamma, with the Babar
detector at the SLAC PEP-II e^+ e^- asymmetric-energy collider.


title: Optical Transitions in New Trends Organic Materials

abstract:
  The PTCDA (3,4,9,10-Perylene-tetracarboxylic dianhydride) and the NTCDA
(1,4,5,8-Naphtalenetetracarboxylic dianhydride) are aromatic, stable, planar
and highly symmetric with unusual electrical properties. The PTCDA is a
semiconductor organic crystalline of particular interest due to its excellent
properties and electronic potential that are used in optoelectronic devices and
the NTCDA it is monoclinic and its space group is similar to that of the PTCDA.
Recently, alternate layers of PTCDA and NTCDA were growth forming multiple
structures of quantum wells showing a new class of materials with new optic
lineal properties. Some have assured that their big utilities would be centered
in the construction of diodes and of possible guides of waves. We have carried
out calculations semi-empirical of the electronic structures and of optic
properties of the PTCDA and of the NTCDA that show us that they are structures
highly orderly polymeric, semiconductors in a negative load state (charge
state= -2)


title: Dick Dalitz: Examples of His Contributions to Particle Physics

abstract:
  Dick Dalitz produced lasting contributions to particle physics for 50 years.
Along with Dalitz pairs, Dalitz plots and CDD poles, he did major work in
parity violation, hyperon resonance identification, the quark model, and
hypernuclei. These topics will be summarized, with some emphasis on the
author's collaboration with Dalitz on quark spin and fragmentation
correlations, and, particularly, the work on the identification of the top
quark and its mass. Short biographical information is interspersed. This paper
is based on a presentation at the International School of Subnuclear Physics,
Erice 2006.


title: Electronic structure of zinc-blende MnTe within the GW approximation

abstract:
  Using the local spin-density approximation (LSDA) and the (non
self-consistent) GW approach, the (quasi-particle) band structure is calculated
for MnTe in zinc-blende geometry. Different parameters characterizing the
electronic structure are computed for an antiferromagnetic and the
ferromagnetic phase and compared with the experiment. The strong Hubbard-type
repulsion on the Mn-3d orbitals and the p-d hybridization are seen to be
responsible for substantial defects found in the LSDA picture. It is discussed
to which extent these can be improved upon by means of the GW approach.


title: Electroweak Radiative Corrections to Muon Capture

abstract:
  Electroweak radiative corrections to muon capture on nuclei are computed and
found to be sizable. They enhance the capture rates for hydrogen and helium by
2.8% and 3.0% respectively. As a result, the value of the induced pseudoscalar
coupling, g_P^exp, extracted from a recent hydrogen 1S singlet capture
experiment is increased by about 21% to g_P^exp = 7.3 +/- 1.2 and brought into
good agreement with the prediction of chiral perturbation theory,
g_P^theory=8.2 +/- 0.2. Implications for helium capture rate predictions are
also discussed.


title: Diversity of MIMO Multihop Relay Channels - Part I: Amplify-and-Forward

abstract:
  In this two-part paper, we consider the multiantenna multihop relay channels
in which the source signal arrives at the destination through N independent
relaying hops in series. The main concern of this work is to design relaying
strategies that utilize efficiently the relays in such a way that the diversity
is maximized. In part I, we focus on the amplify-and-forward (AF) strategy with
which the relays simply scale the received signal and retransmit it. More
specifically, we characterize the diversity-multiplexing tradeoff (DMT) of the
AF scheme in a general multihop channel with arbitrary number of antennas and
arbitrary number of hops. The DMT is in closed-form expression as a function of
the number of antennas at each node. First, we provide some basic results on
the DMT of the general Rayleigh product channels. It turns out that these
results have very simple and intuitive interpretation. Then, the results are
applied to the AF multihop channels which is shown to be equivalent to the
Rayleigh product channel, in the DMT sense. Finally, the project-and-forward
(PF) scheme, a variant of the AF scheme, is proposed. We show that the PF
scheme has the same DMT as the AF scheme, while the PF can have significant
power gain over the AF scheme in some cases. In part II, we will derive the
upper bound on the diversity of the multihop channels and show that it can be
achieved by partitioning the multihop channel into AF subchannels.


title: A study of uranium-based multilayers: II. Magnetic properties

abstract:
  SQUID magnetometry and polarised neutron reflectivity measurements have been
employed to characterise the magnetic properties of U/Fe, U/Co and U/Gd
multilayers. The field dependence of the magnetisation was measured at 10K in
magnetic fields from -70kOe to 70kOe. A temperature dependent study of the
magnetisation evolution was undertaken for a selection of U/Gd samples. PNR was
carried out in a field of 4.4kOe for U/Fe and U/Co samples (at room
temperature) and for U/Gd samples (at 10K). Magnetic 'dead' layers of about 15
Angstrom were observed for U/Fe and U/Co samples, consistent with a picture of
interdiffused interfaces. A large reduction in the magnetic moment, constant
over a wide range of Gd layer thicknesses, was found for the U/Gd system (about
4 Bohr magnetons compared with 7.63 for the bulk metal). This could be
understood on the basis of a pinning of Gd moments arising from a column-like
growth mechanism of the Gd layers. A study of the effective anisotropy suggests
that perpendicular magnetic anisotropy could occur in multilayers consisting of
thick U and thin Gd layers. A reduction in the Curie temperature was observed
as a function of Gd layer thickness, consistent with a finite-size scaling
behaviour.


title:
Three-Dimensionally Confined Optical Modes in Quantum Well Microtube
  Ring Resonators

abstract:
  We report on microtube ring resonators with quantum wells embedded as an
optically active material. Optical modes are observed over a broad energy
range. Their properties strongly depend on the exact geometry of the microtube
along its axis. In particular we observe (i) preferential emission of light on
the inside edge of the microtube and (ii) confinement of light also in
direction of the tube axis by an axially varying geometry which is explained in
an expanded waveguide model.


title:
Electronic Emition Properties of Bi Layer Novel Organic Semiconductor
  Systems

abstract:
  The perylene-3,4,9,10-tetracarboxylic-dianhydride (PTCDA) and
1,4,5,8-naphthalene-tetracaboxylic-dianhydride (NTCDA) are planar pi-stacking
organic molecules that have been shown to be excellent model compounds for
studying the growth and optoelectronic properties of organic semiconductor thin
films, particularly organic diodes. Some observations have shown that this
molecules, particularly PTCDA a brick-like shaped molecule easily forms
well-ordered films on various substrates due to its unique crystal structure
which is characterized by flat lying molecules In this work we will explore
some energetic and optical characteristics such as heats of formation, optic
GAP energies, electronic transitions and others of novel tow layer systems of
alternate layers of PTCDA and NTCDA by means of the semiempirical methods
Parametric Model 3 (PM3) and Zerner's Intermediate Neglect of Differential
Overlap (ZINDO/S) in Configuration Interaction mode.


title:
Semi-Fredholm singular integral operators with piecewise continuous
  coefficients on weighted variable Lebesgue spaces are Fredholm

abstract:
  Suppose $\Gamma$ is a Carleson Jordan curve with logarithmic whirl points,
  $\varrho$ is a Khvedelidze weight, $p:\Gamma\to(1,\infty)$ is a continuous
function satisfying $|p(\tau)-p(t)|\le -\mathrm{const}/\log|\tau-t|$ for
$|\tau-t|\le 1/2$, and $L^{p(\cdot)}(\Gamma,\varrho)$ is a weighted generalized
Lebesgue space with variable exponent. We prove that all semi-Fredholm
operators in the algebra of singular integral operators with $N\times N$ matrix
piecewise continuous coefficients are Fredholm on
$L_N^{p(\cdot)}(\Gamma,\varrho)$.


title:
Rectangular Potential Barrier Affected by External Fields, Hydrostatic
  Pressure and Impurities

abstract:
  In this work the influence of the electric and magnetic fields over a
tunneling particle in a rectangular potential barrier is shown, we have taken
into account the presence of an impurity at the barrier center and the effects
of a hydrostatic pressure parallel to the barrier height considering the
BenDaniel-Duke boundary conditions. Given that the particle is moving inside a
GaAs-AlxGa1-xAs-GaAs heterostructures it is evident a change in the
transmission coefficient due to the impurity concentration and the presence of
the hydrostatic pressure. The potential due to the presence of the impurity is
approximate with a second degree polynomial function that resolves the
discontinuity generated by heavily modifying the transmission coefficient.


title:
Spectroscopy and critical temperature of diffusive
  superconducting/ferromagnetic hybrid structures with spin-active interfaces

abstract:
  The description of the proximity effect in superconducting/ferromagnetic
heterostructures requires to use spin-dependent boundary conditions. Such
boundary conditions must take into account the spin dependence of the phase
shifts acquired by electrons upon scattering on the boundaries of ferromagnets.
The present article shows that this property can strongly affect the critical
temperature and the energy dependence of the density of states of diffusive
heterostructures. These effects should allow a better caracterisation of
diffusive superconductor/ferromagnet interfaces.


title: Lawvere completeness in Topology

abstract:
  It is known since 1973 that Lawvere's notion of (Cauchy-)complete enriched
category is meaningful for metric spaces: it captures exactly Cauchy-complete
metric spaces. In this paper we introduce the corresponding notion of Lawvere
completeness for $(\mathbb{T},\mathsf{V})$-categories and show that it has an
interesting meaning for topological spaces and quasi-uniform spaces: for the
former ones means weak sobriety while for the latter means Cauchy completeness.
Further, we show that $\mathsf{V}$ has a canonical
$(\mathbb{T},\mathsf{V})$-category structure which plays a key role: it is
Lawvere-complete under reasonable conditions on the setting; permits us to
define a Yoneda embedding in the realm of $(\mathbb{T},\mathsf{V})$-categories.


title: Electronic Properties of Eumelanin Monomers and Dimmers

abstract:
  The melanin is a group of biological pigments commonly found in living
beings, it can be classified in three groups: eumelanin human beings,
pheomelanins in animals, and allomelanins in the vegetal kingdom. There is a
special interest in the eumelanin because this biopolymer exhibits the typical
properties of a semiconductor. Eumelanin is also responsible of the main
cellular photoprotection mechanisms in the human beings. The exact structural
pattern of eumelanin is not completely known yet, the planar molecules 5,
6-indolquinine and its reduced forms semiquinone and hydroquinone outline the
greater part of the biological pigment. In this work the structural, electronic
and optical properties of monomers in various charged states (0, -1) and
dimmers of eumelanin in vacuum, are found for the neutral state of charge, by
means of the Semiempirical methods MNDO, AM1, PM3 and ZINDO/S-CI


title: Lepton asymmetries and the growth of cosmological seed magnetic fields

abstract:
  Primordial cosmological hypermagnetic fields polarize the early
  Universe plasma prior to the electroweak phase transition (EWPT).
  As a result of the long range parity violating gauge interaction present in
the Standard Model their magnitude gets amplified, opening a new, perturbative
way, of accounting for the observed intergalactic magnetic fields.


title:
The Magnetic Sensitivity of the Ba II D1 and D2 Lines of the Fraunhofer
  Spectrum

abstract:
  The physical interpretation of the spectral line polarization produced by the
joint action of the Hanle and Zeeman effects offers a unique opportunity to
obtain empirical information about hidden aspects of solar and stellar
magnetism. To this end, it is important to achieve a complete understanding of
the sensitivity of the emergent spectral line polarization to the presence of a
magnetic field. Here we present a detailed theoretical investigation on the
role of resonance scattering and magnetic fields on the polarization signals of
the Ba II D1 and D2 lines of the Fraunhofer spectrum, respectively at 4934 \AA\
and 4554 \AA. We adopt a three-level model of Ba II, and we take into account
the hyperfine structure that is shown by the $^{135}$Ba and $^{137}$Ba
isotopes. Despite of their relatively small abundance (18%), the contribution
coming from these two isotopes is indeed fundamental for the interpretation of
the polarization signals observed in these lines. We consider an optically thin
slab model, through which we can investigate in a rigorous way the essential
physical mechanisms involved (resonance polarization, Zeeman, Paschen-Back and
Hanle effects), avoiding complications due to radiative transfer effects. We
assume the slab to be illuminated from below by the photospheric solar
continuum radiation field, and we investigate the radiation scattered at 90
degrees, both in the absence and in the presence of magnetic fields,
deterministic and microturbulent. We show in particular the existence of a
differential magnetic sensitivity of the three-peak Q/I profile that is
observed in the D2 line in quiet regions close to the solar limb, which is of
great interest for magnetic field diagnostics.


title:
A construction of generalized Harish-Chandra modules for locally
  reductive Lie algebras

abstract:
  We study cohomological induction for a pair $(\frak g,\frak k)$, $\frak g$
being an infinite dimensional locally reductive Lie algebra and $\frak k
\subset\frak g$ being of the form $\frak k_0 + C_\gg(\frak k_0)$, where $\frak
k_0\subset\frak g$ is a finite dimensional reductive in $\frak g$ subalgebra
and $C_{\gg} (\frak k_0)$ is the centralizer of $\frak k_0$ in $\frak g$. We
prove a general non-vanishing and $\frak k$-finiteness theorem for the output.
This yields in particular simple $(\frak g,\frak k)$-modules of finite type
over $\frak k$ which are analogs of the fundamental series of generalized
Harish-Chandra modules constructed in \cite{PZ1} and \cite{PZ2}. We study
explicit versions of the construction when $\frak g$ is a root-reductive or
diagonal locally simple Lie algebra.


title: Anomaly Holography

abstract:
  We consider, in the effective field theory context, anomalies of gauge field
theories on a slice of a five-dimensional, Anti-de Sitter geometry and their
four-dimensional, holographic duals. A consistent effective field theory
description can always be found, notwithstanding the presence of the anomalies
and without modifying the degrees of freedom of the theory. If anomalies do not
vanish, the d=4 theory contains additional pseudoscalar states, which are
either present in the low-energy theory as physical, light states, or are eaten
by (would-be massless) gauge bosons. We show that the pseudoscalars ensure that
global anomalies of the four-dimensional dual satisfy the 't Hooft matching
condition and comment on the relevance for warped models of electroweak
symmetry breaking.


title:
Takagi-Taupin Description of X-ray Dynamical Diffraction from
  Diffractive Optics with Large Numerical Aperture

abstract:
  We present a formalism of x-ray dynamical diffraction from volume diffractive
optics with large numerical aperture and high aspect ratio, in an analogy to
the Takagi-Taupin equations for strained single crystals. We derive a set of
basic equations for dynamical diffraction from volume diffractive optics, which
enable us to study the focusing property of these optics with various grating
profiles. We study volume diffractive optics that satisfy the Bragg condition
to various degrees, namely flat, tilted and wedged geometries, and derive the
curved geometries required for ultimate focusing. We show that the curved
geometries satisfy the Bragg condition everywhere and phase requirement for
point focusing, and effectively focus hard x-rays to a scale close to the
wavelength.


title: Retrieving information from a noisy "knowledge network"

abstract:
  We address the problem of retrieving information from a noisy version of the
``knowledge networks'' introduced by Maslov and Zhang. We map this problem onto
a disordered statistical mechanics model, which opens the door to many
analytical and numerical approaches. We give the replica symmetric solution,
compare with numerical simulations, and finally discuss an application to real
datas from the United States Senate.


title:
Exact renormalisation group flow for ultracold Fermi gases in unitary
  limit

abstract:
  We study the exact renormalisation group flow for ultracold Fermi-gases in
unitary regime. We introduce a pairing field to describe the formation of the
Cooper pairs, and take a simple ansatz for the effective action. Set of
approximate flow equations for the effective couplings including boson and
fermionic fluctuations is derived. At some value of the running scale, the
system undergoes a phase transition to a gapped phase. The values of the energy
density, chemical potential, pairing gap and the corresponding proportionality
constants relating the interacting and non-interacting Fermi gases are
calculated. Standard mean field results are recovered if we omit the boson
loops.


title: Dirichlet sigma models and mean curvature flow

abstract:
  The mean curvature flow describes the parabolic deformation of embedded
branes in Riemannian geometry driven by their extrinsic mean curvature vector,
which is typically associated to surface tension forces. It is the gradient
flow of the area functional, and, as such, it is naturally identified with the
boundary renormalization group equation of Dirichlet sigma models away from
conformality, to lowest order in perturbation theory. D-branes appear as fixed
points of this flow having conformally invariant boundary conditions. Simple
running solutions include the paper-clip and the hair-pin (or grim-reaper)
models on the plane, as well as scaling solutions associated to rational (p, q)
closed curves and the decay of two intersecting lines. Stability analysis is
performed in several cases while searching for transitions among different
brane configurations. The combination of Ricci with the mean curvature flow is
examined in detail together with several explicit examples of deforming curves
on curved backgrounds. Some general aspects of the mean curvature flow in
higher dimensional ambient spaces are also discussed and obtain consistent
truncations to lower dimensional systems. Selected physical applications are
mentioned in the text, including tachyon condensation in open string theory and
the resistive diffusion of force-free fields in magneto-hydrodynamics.


title: Parametric Nonholonomic Frame Transforms and Exact Solutions in Gravity

abstract:
  A generalized geometric method is developed for constructing exact solutions
of gravitational field equations in Einstein theory and generalizations. First,
we apply the formalism of nonholonomic frame deformations (formally considered
for nonholonomic manifolds and Finsler spaces) when the gravitational field
equations transform into systems of nonlinear partial differential equations
which can be integrated in general form. The new classes of solutions are
defined by generic off-diagonal metrics depending on integration functions on
one, two and three (or three and four) variables if we consider four (or five)
dimensional spacetimes. Second, we use a general scheme when one (two)
parameter families of exact solutions are defined by any source-free solutions
of Einstein's equations with one (two) Killing vector field(s). A successive
iteration procedure results in new classes of solutions characterized by an
infinite number of parameters for a non-Abelian group involving arbitrary
functions on one variable. Five classes of exact off-diagonal solutions are
constructed in vacuum Einstein and in string gravity describing solitonic
pp-wave interactions. We explore possible physical consequences of such
solutions derived from primary Schwarzschild or pp-wave metrics.


title: Internal conversions in Higgs decays to two photons

abstract:
  We evaluate the partial widths for internal conversions in the Higgs decays
to two photons. For the Higgs masses of interest at LHC in the range of 100-150
GeV, the conversions to pairs of fermions represent significant fraction of
Higgs decays.