title: Homotopy nilpotency in p-compact groups

abstract:
  A p-compact group is a mod p homotopy theoretical analogue of a compact Lie
group. It is determined the homotopy nilpotency class of a p-compact group
having the homotopy type of the $p$-completion of the direct product of
spheres.


title: An attempt to control a manmade nuclear fusion

abstract:
  A detailed simple model is applied to study a high temperature hydrogen
plasma ball. It is assumed that the ions and delocalized electrons are
distributed randomly throughout the charged plasma ball (extra/missing charge
is assumed to be found in a thin layer on the surface of a ball). The energy of
the microscopic electrostatic field around the ions is taken into account and
calculated. It is shown in the framework of the model that charged hydrogen
plasma ball can be stable as a metastable state, when subjected to external
(atmospheric) pressure. Equilibrium radius of a ball, the barrier and the
enthalpy of the equilibrium ball are calculated. It looks like the charged
plasma ball in a metastable equilibrium should be used to conduct controllable
nuclear fusion. Changes in the electric charge can be used to control the
volume of a plasma ball.


title: Reconstruction of the Berger measure when the core is of tensor form

abstract:
  Let $\mathfrak{H}_{0}$ denote the class of commuting pairs of subnormal
operators on Hilbert space, and let $\mathcal{TC}:=\{\mathbf{T}\in \mathfrak{%
H}_{0}:c(\mathbf{T)}$ is of tensor form$\}$, where $c(\mathbf{T})$ is the core
of $\mathbf{T}$. We obtain a concrete necessary and sufficient condition for
the subnormality of $\mathbf{T}\equiv (T_{1},T_{2})\in \mathcal{TC}$ in terms
of $c(\mathbf{T})$, the marginal measures of $T_{1}$ and $T_{2}$, and the
weight $\alpha_{01}$.


title: Dielectric anomaly at T_N in LaMnO3

abstract:
  We observe a distinct anomaly in dielectric permittivity (epsilon') as well
as relaxation time (tao_0) versus temperature (T) pattern at the
antiferromagnetic transition point (T_N) in single crystal of LaMnO3. The
equivalent circuit analysis of the impedance spectra across T_N reveals clear
anomaly in the capacitive component C_0 at T_N. Since no structural transition
takes place across T_N, the anomaly in tao_0 and C_0 at T_N possibly signifies
multiferroicity stemming from coupling between orbital and spin order in
LaMnO3.


title:
Toward Trusted Sharing of Network Packet Traces Using Anonymization:
  Single-Field Privacy/Analysis Tradeoffs

abstract:
  Network data needs to be shared for distributed security analysis.
Anonymization of network data for sharing sets up a fundamental tradeoff
between privacy protection versus security analysis capability. This
privacy/analysis tradeoff has been acknowledged by many researchers but this is
the first paper to provide empirical measurements to characterize the
privacy/analysis tradeoff for an enterprise dataset. Specifically we perform
anonymization options on single-fields within network packet traces and then
make measurements using intrusion detection system alarms as a proxy for
security analysis capability. Our results show: (1) two fields have a zero sum
tradeoff (more privacy lessens security analysis and vice versa) and (2) eight
fields have a more complex tradeoff (that is not zero sum) in which both
privacy and analysis can both be simultaneously accomplished.


title: Some properties of minimizers for the Chan-Esedoglu L1TV functional

abstract:
  We present two results characterizing minimizers of the Chan-Esedoglu L1TV
functional $F(u) \equiv \int |\nabla u | dx + \lambda \int |u - f| dx $;
$u,f:\Bbb{R}^n \to \Bbb{R}$. If we restrict to $u = \chi_{\Sigma}$ and $f =
\chi_{\Omega}$, $\Sigma, \Omega \in \Bbb{R}^n$, the $L^1$TV functional reduces
to $E(\Sigma) = \Per(\Sigma) + \lambda |\Sigma\vartriangle \Omega |$. We show
that there is a minimizer $\Sigma$ such that its boundary $\partial\Sigma$ lies
between the union of all balls of radius $\frac{n}{\lambda}$ contained in
$\Omega$ and the corresponding union of $\frac{n}{\lambda}$-balls in
$\Omega^c$. We also show that if a ball of radius $\frac{n}{\lambda} +
\epsilon$ is almost contained in $\Omega$, a slightly smaller concentric ball
can be added to $\Sigma$ to get another minimizer. Finally, we comment on
recent results Allard has obtained on $L^1$TV minimizers and how these relate
to our results.


title: The importance of the Selberg integral

abstract:
  It has been remarked that a fair measure of the impact of Atle Selberg's work
is the number of mathematical terms which bear his name. One of these is the
Selberg integral, an n-dimensional generalization of the Euler beta integral.
We trace its sudden rise to prominence, initiated by a question to Selberg from
Enrico Bombieri, more than thirty years after publication. In quick succession
the Selberg integral was used to prove an outstanding conjecture in random
matrix theory, and cases of the Macdonald conjectures. It further initiated the
study of q-analogues, which in turn enriched the Macdonald conjectures. We
review these developments and proceed to exhibit the sustained prominence of
the Selberg integral, evidenced by its central role in random matrix theory,
Calogero-Sutherland quantum many body systems, Knizhnik-Zamolodchikov
equations, and multivariable orthogonal polynomial theory.


title: Covariant differentiation of spinors for a general affine connection

abstract:
  We show that the covariant derivative of a spinor for a general affine
connection, not restricted to be metric compatible, is given by the
Fock-Ivanenko coefficients with the antisymmetric part of the Lorentz
connection. The projective invariance of the spinor connection allows to
introduce gauge fields interacting with spinors. We also derive the relation
between the curvature spinor and the curvature tensor for a general connection.


title:
Long time simulation of a beam in a periodic focusing channel via a
  two-scale PIC-method

abstract:
  We study the two-scale asymptotics for a charged beam under the action of a
rapidly oscillating external electric field. After proving the convergence to
the correct asymptotic state, we develop a numerical method for solving the
limit model involving two time scales and validate its efficiency for the
simulation of long time beam evolution.


title: A model for giant flares in soft gamma repeaters

abstract:
  We argue that giant flares in SGRs can be associated to the core conversion
of an isolated neutron star having a subcritical magnetic field $\sim 10^{12}$
G and a fallback disk around it. We show that, in a timescale of $\lesssim
10^5$ yrs, accretion from the fallback disk can increase the mass of the
central object up to the critical mass for the conversion of the core of the
star into quark matter. A small fraction of the neutrino-antineutrino emission
from the just-converted quark-matter hot core annihilates into $e^+e^-$ pairs
above the neutron star surface originating the gamma emission of the spike
while the further cooling of the heated neutron star envelope originates the
tail of the burst. We show that several characteristics of the giant flare of
the SGR 1806-20 of 27 December 2004 (spike and tail energies, timescales, and
spectra) can be explained by this mechanism.


title: Antiproton-deuteron atoms in models of realistic potentials

abstract:
  The antiproton-deuteron atoms are studied in models of various realistic,
popular nucleon-antinucleon potentials. The small energy shifts and decay
widths of the atoms, which stem from the short-ranged strong interactions
between the antiproton and deuteron, are evaluated in a well-established,
accurate approach based on the Sturmian functions. The investigation reveals
that none of the employed potentials, which reproduce the nucleon-antinucleon
scattering data quite well, is able to reproduce the experimental data of the
energy shifts of the 2p antiproton-deuteron atomic states. The energy shifts of
the 2p antiproton-deuteron atomic states are very sensitive to the
nucleon-antinucleon strong interactions, hence the investigation of the
antiproton-deuteron atoms is expected to provide a good platform for refining
the nucleon-antinucleon interaction, especially at zero energy.


title:
Microwave band on-chip coil technique for single electron spin resonance
  in a quantum dot

abstract:
  Microwave band on-chip microcoils are developed for the application to single
electron spin resonance measurement with a single quantum dot. Basic properties
such as characteristic impedance and electromagnetic field distribution are
examined for various coil designs by means of experiment and simulation. The
combined setup operates relevantly in the experiment at dilution temperature.
The frequency responses of the return loss and Coulomb blockade current are
examined. Capacitive coupling between a coil and a quantum dot causes photon
assisted tunneling, whose signal can greatly overlap the electron spin
resonance signal. To suppress the photon assisted tunneling effect, a technique
for compensating for the microwave electric field is developed. Good
performance of this technique is confirmed from measurement of Coulomb blockade
oscillations.


title:
Nonequilibrium electron charging in carbon-nanotube-based molecular
  bridges

abstract:
  We evidence the importance of electron charging under nonequilibrium
conditions for carbon-nanotube-based molecular bridges, using a self-consistent
Green's function method with an extended Huckel Hamiltonian and a
three-dimensional Poisson solver. Our analysis demonstrates that such feature
is highly dependent on the chirality of the carbon nanotube as well as on the
type of the contact metal, conditioning in a nongeneralized way the system's
conduction mechanism. Based on its impact on transport, we argue that
self-consistency is essential for the current-voltage calculations of
semiconducting nanotubes, whereas less significant in the case of metallic
ones.


title: Sexual reproduction from the male (men) point of view

abstract:
  To counterbalance the views presented here by Suzana Moss de Oliveira, we
explain here the truth: How men are oppressed by Mother Nature, who may have
made an error inventing us, and by living women, who could get rid of most of
us. Why do women live longer than us? Why is the Y chromosome for men so small?
What are the dangers of marital fidelity? In an appendix we mention the
demographic challenges of the future with many old and few young people.


title: C1-generic conservative diffeomorphisms have trivial centralizer

abstract:
  We prove that the spaces of C1 symplectomorphisms and of C1 volume-preserving
diffeomorphisms of connected manifolds both contain residual subsets of
diffeomorphisms whose centralizers are trivial. (Les diff\'eomorphismes
conservatifs C1-g\'en\'eriques ont un centralisateur trivial. Nous montrons que
l'espace des symplectomorphismes de classe C1 et l'espace des
diff\'eomomorphismes de classe C1 pr\'eservant une forme volume contiennent
tous deux des sous-ensembles r\'esiduels de diff\'eomorphismes dont le
centralisateur est trivial.)


title: Scattering of Low-Frequency Radiation by a Gyrating Electron

abstract:
  The scattering of electromagnetic radiation by the particle gyrating in an
external magnetic field is considered. Particular attention is paid to the
low-frequency case, when the frequencies of incident radiation are much less
than the electron gyrofrequency. The spectral and polarization features of the
scattering cross-section are analyzed in detail. It is found that the
scattering transfers the low-frequency photons to high harmonics of the
gyrofrequency, into the range of the synchrotron emission of the electron. The
total scattering cross-section appears much larger than that for the particle
at rest. The problem studied is directly applicable to the radio wave
scattering in the magnetosphere of a pulsar. The particles acquire relativistic
rotational energies as a result of resonant absorption of the high-frequency
radio waves and concurrently scatter the low-frequency radio waves, which are
still below the resonance. It is shown that the scattering can affect the radio
intensity and polarization at the lowest frequencies and can compete with the
resonant absorption in contributing to the low-frequency turnover in the pulsar
spectrum. Moreover, the scattering can be an efficient mechanism of the pulsar
high-energy emission, in addition to the synchrotron re-emission of the
particles. Other astrophysical applications of the scattering by gyrating
particles are pointed out as well.


title: Dirichlet Duality and the Nonlinear Dirichlet Problem

abstract:
  We study the Dirichlet problem for fully nonlinear, degenerate elliptic
equations of the form f(Hess, u)=0 on a smoothly bounded domain D in R^n. In
our approach the equation is replaced by a subset F of the space of symmetric
nxn-matrices, with bdy(F) contined in the set {f=0}. We establish the existence
and uniqueness of continuous solutions under an explicit geometric
``F-convexity'' assumption on the boundary bdy(F). The topological structure of
F-convex domains is also studied and a theorem of Andreotti-Frankel type is
proved for them. Two key ingredients in the analysis are the use of subaffine
functions and Dirichlet duality, both introduced here. Associated to F is a
Dirichlet dual set F* which gives a dual Dirichlet problem. This pairing is a
true duality in that the dual of F* is F and in the analysis the roles of F and
F* are interchangeable. The duality also clarifies many features of the problem
including the appropriate conditions on the boundary. Many interesting examples
are covered by these results including: All branches of the homogeneous
Monge-Ampere equation over R, C and H; equations appearing naturally in
calibrated geometry, Lagrangian geometry and p-convex riemannian geometry, and
all branches of the Special Lagrangian potential equation.


title:
Zero modes for the magnetic Pauli operator in even-dimensional Euclidean
  space

abstract:
  We study the ground state of the Pauli Hamiltonian with a magnetic field in
R^(2d). We consider the case where a scalar potential W is present and the
magnetic field B is given by $B=2i\partial\bar\partial W$. The main result is
that there are no zero modes if the magnetic field decays faster than
quadratically at infinity. If the magnetic field decays quadratically then zero
modes may appear, and we give a lower bound for the number of them. The results
in this paper partly correct a mistake in a paper from 1993.


title:
A Study of the Radiative Ke3 Decay and Search for Direct Photon Emission
  with the KLOE Detector

abstract:
  We present a measurement of the ratio R =
\Gamma(\keg;\Estar>30\mev,\qstar>20^\circ)$/$\Gamma(\kegf)$ and a first
measurement of the direct emission contribution in KL semileptonic decays. The
measurement is done at the DAFNE phi-factory selecting phi->KL KS decays with
the KLOE detector. We use 328 pb^{-1}$ of data corresponding to about 3.5
million Ke3(g) events and about 9000 radiative events. Our result is R=(924 +/-
23(stat) +/-16(syst)10^{-5} for the branching ratio and X=-2.3 +/- 1.3(stat)
+/- 1.4(syst) for the parameter describing direct emission.


title:
Accelerating Universe and Pioneer anomaly as manifestation of conformal
  time inhomogeneity

abstract:
  The description of the cosmological expansion and its possible local
manifestations via treating the proper conformal transformations as a
coordinate transformation from a comoving Lorentz reference frame (RF) to an
uniformly accelerated RF is given. The explicit form of the conformal
deformation of time is established. The expression defining the location
cosmological distance in the form of simple function on the red shift is
obtained. By coupling it with the well known relativistic formula defining the
relative velocity of the mutually moving apart source and receiver of the
signal, the explicit analytic expression for the Hubble law is obtained. The
connection between acceleration and the Hubble constant follows therefrom
immediately. The expression for the conformal time deformation in the small
time limit leads to the quadratic time nonlinearity. Being applied to describe
the location-type experiments, this predicts the existence of the uniformly
changing blue-shifted frequency drift. Phenomenon of the Pioneer Anomaly (PA)
is treated as the first of such a kind of effects discovered experimentally.
The obtained formulae reproduce the PA experimental data. The expression
generalizing the conventional Hubble law reproduces the experimentally observed
phenomenon which in the frame of the conventional cosmological paradigm is
treated as the transition from the decelerated expansion of the Universe to the
accelerated one.


title: The Hubble constant and dark energy from cosmological distance measures

abstract:
  We study how the determination of the Hubble constant from cosmological
distance measures is affected by models of dark energy and vice versa. For this
purpose, constraints on the Hubble constant and dark energy are investigated
using the cosmological observations of cosmic microwave background, baryon
acoustic oscillations and type Ia suprenovae. When one investigates dark
energy, the Hubble constant is often a nuisance parameter, thus it is usually
marginalized over. On the other hand, when one focuses on the Hubble constant,
simple dark energy models such as a cosmological constant and a constant
equation of state are usually assumed. Since we do not know the nature of dark
energy yet, it is interesting to investigate the Hubble constant assuming some
types of dark energy and see to what extent the constraint on the Hubble
constant is affected by the assumption concerning dark energy. We show that the
constraint on the Hubble constant is not affected much by the assumption for
dark energy. We furthermore show that this holds true even if we remove the
assumption that the universe is flat. We also discuss how the prior on the
Hubble constant affects the constraints on dark energy and/or the curvature of
the universe.


title:
Universal quantum computation with electronic qubits in decoherence-free
  subspace

abstract:
  We investigate how to carry out universal quantum computation
deterministically with free electrons in decoherence-free subspace by using
polarizing beam splitters, charge detectors, and single-spin rotations. Quantum
information in our case is encoded in spin degrees of freedom of the
electron-pairs which construct a decoherence-free subspace. We design building
blocks for two noncommutable single-logic-qubit gates and a logic controlled
phase gate, based on which a universal and scalable quantum information
processing robust to dephasing is available in a deterministic way.


title: Reversibility in the group of homeomorphisms of the circle

abstract:
  We identify those elements of the homeomorphism group of the circle that can
be expressed as a composite of two involutions.


title: Charged Lepton Flavour Violation in Littlest Higgs model with T-parity

abstract:
  The Little Higgs model with T-parity (LHT) belongs to the non-minimal flavour
violating model. This model has new sources of flavour and CP violation both in
quark and leptonic sectors. These new sources of flavour violation originates
by the interaction of Standard Model (SM) fermions with heavy gauge bosons and
heavy (or mirror) fermions. In this work we will present the impact of the new
flavour structure of T-parity models on flavour violations in leptonic sector.


title: WD0433+270: an old Hyades stream member or an Fe-core white dwarf?

abstract:
  G39-27/289 is a common proper motion pair formed by a white dwarf
(WD0433+270) and a main-sequence star (BD+26 730) that apparently has been
classified as a member of the Hyades open cluster. Previous studies of the
white dwarf component yielded a cooling time of ~4 Gyr. Although it has not
been pointed out before explicitly, this result is 6 times larger than the age
of the Hyades cluster, giving rise to an apparent conflict between the physics
of white dwarfs and cluster main-sequence fitting. We investigate whether this
system belongs to the Hyades cluster and, accordingly, give a plausible
explanation to the nature of the white dwarf member. From kinematic and
chemical composition considerations we believe that the system was a former
member of the Hyades cluster and therefore has an evolutionary link with it.
However, the evidence is not conclusive. With regards to the nature of the
white dwarf component, we find that two core compositions (C/O and Fe) are
compatible with the observed effective temperature and radius. These
compositions yield very different cooling times of ~4 Gyr and ~1 Gyr,
respectively. We distinguish two posssible scenarios. If the pair does not
belong to the Hyades cluster but only to the Hyades stream, this would indicate
that such stream contains rather old objects and definitely not coeval with the
cluster. This has interesting consequences for Galactic dynamics. On the
contrary, if the white dwarf has an Fe core, it will have a cooling time
compatible with the Hyades age. This is a tantalizing result that would have
implications for the thermonuclear explosion of white dwarfs and explosion
theories of degenerate nuclei.


title: Exact Solutions of Diffusion-Convection Equations

abstract:
  In the presented paper known (up to the beginning of 2008) Lie- and non-Lie
exact solutions of different $(1+1)$-dimensional diffusion-convection equations
of form $f(x)u_t=(g(x)A(u)u_x)_x+h(x)B(u)u_x$ are collected.


title:
Fluctuation induces evolutionary branching in a modeled microbial
  ecosystem

abstract:
  The impact of environmental fluctuation on species diversity is studied with
a model of the evolutionary ecology of microorganisms. We show that
environmental fluctuation induces evolutionary branching and assures the
consequential coexistence of multiple species. Pairwise invasibility analysis
is applied to illustrate the speciation process. We also discuss how
fluctuation affects species diversity.


title: Chow--Kuenneth decomposition for special varieties

abstract:
  In this paper we investigate Murre's conjecture on the Chow--K\"unneth
decomposition for two classes of examples. We look at the universal families of
smooth curves over spaces which dominate the moduli space $\cM_g$, in genus at
most 8 and show existence of a Chow--K\"unneth decomposition. The second class
of examples include the representation varieties of a finitely generated group
with one relation. This is done in the setting of equivariant cohomology and
equivariant Chow groups to get equivariant Chow--K\"unneth decompositions.


title: YREC: The Yale Rotating Stellar Evolution Code

abstract:
  The stellar evolution code YREC is outlined with emphasis on its applications
to helio- and asteroseismology. The procedure for calculating calibrated solar
and stellar models is described. Other features of the code such as a non-local
treatment of convective core overshoot, and the implementation of a
parametrized description of turbulence in stellar models, are considered in
some detail. The code has been extensively used for other astrophysical
applications, some of which are briefly mentioned at the end of the paper.


title: The N-Vortex Problem on a Symmetric Ellipsoid: A Perturbation Approach

abstract:
  We consider the N-vortex problem on a ellipsoid of revolution. Applying
standard techniques of classical perturbation theory we construct a sequence of
conformal transformations from the ellipsoid into the complex plane. Using
these transformations the equations of motion for the N-vortex problem on the
ellipsoid are written as a formal series on the eccentricity of the ellipsoid's
generating ellipse. First order equations are obtained explicitly. We show
numerically that the truncated first order system for the three-vortices system
on the symmetric ellipsoid is non-integrable.


title: Dynamo quenching due to shear flow

abstract:
  We provide a theory of dynamo ($\alpha$ effect) and momentum transport in
three-dimensional magnetohydrodynamics. For the first time, we show that the
$\alpha$ effect is severely reduced by the shear even in the absence of
magnetic field. The $\alpha$ effect is further suppressed by magnetic fields
well below equipartition (with the large-scale flow) with different scalings
depending on the relative strength of shear and magnetic field. The turbulent
viscosity is also found to be significantly reduced by shear and magnetic
fields, with positive value. These results suggest a crucial effect of shear
and magnetic field on dynamo quenching and momentum transport reduction, with
important implications for laboratory and astrophysical plasmas, in particular
for the dynamics of the Sun.


title:
Critical Temperature for Bose-Einstein condensation in quartic
  potentials

abstract:
  The quartic confining potential has emerged as a key ingredient to obtain
fast rotating vortices in BEC as well as observation of quantum phase
transitions in optical lattices. We calculate the critical temperature $T_c$ of
bosons at which normal to BEC transition occurs for the quartic confining
potential. Further more, we evaluate the effect of finite particle number on
$T_c$ and find that $\Delta T_c/T_c$ is larger in quartic potential as compared
to quadratic potential for number of particles $ < 10^5$. Interestingly, the
situation is reversed if the number of particles is $\gtrsim10^5$.


title: Dynamics of horizontal-like maps in higher dimension

abstract:
  We study the regularity of the Green currents and of the equilibrium measure
associated to a horizontal-like map in C^k, under a natural assumption on the
dynamical degrees. We estimate the speed of convergence towards the Green
currents, the decay of correlations for the equilibrium measure and the
Lyapounov exponents. We show in particular that the equilibrium measure is
hyperbolic. We also show that the Green currents are the unique invariant
vertical and horizontal positive closed currents. The results apply, in
particular, to Henon-like maps, to regular polynomial automorphisms of C^k and
to their small pertubations.


title: Scale-free networks resistant to intentional attacks

abstract:
  We study the detailed mechanism of the failure of scale-free networks under
intentional attacks. Although it is generally accepted that such networks are
very sensitive to targeted attacks, we show that for a particular type of
structure such networks surprisingly remain very robust even under removal of a
large fraction of their nodes, which in some cases can be up to 70%. The degree
distribution $P(k)$ of these structures is such that for small values of the
degree $k$ the distribution is constant with $k$, up to a critical value $k_c$,
and thereafter it decays with $k$ with the usual power law. We describe in
detail a model for such a scale-free network with this modified degree
distribution, and we show both analytically and via simulations, that this
model can adequately describe all the features and breakdown characteristics of
these attacks. We have found several experimental networks with such features,
such as for example the IMDB actors collaboration network or the citations
network, whose resilience to attacks can be accurately described by our model.


title:
The congruence kernel of an arithmetic lattice in a rank one algebraic
  group over a local field

abstract:
  Let k be a global field and let k_v be the completion of k with respect to v,
a non-archimedean place of k. Let \mathbf{G} be a connected, simply-connected
algebraic group over k, which is absolutely almost simple of k_v-rank 1. Let
G=\mathbf{G}(k_v). Let \Gamma be an arithmetic lattice in G and let C=C(\Gamma)
be its congruence kernel. Lubotzky has shown that C is infinite, confirming an
earlier conjecture of Serre. Here we provide complete solution of the
congruence subgroup problem for \Gamm$ by determining the structure of C. It is
shown that C is a free profinite product, one of whose factors is
\hat{F}_{\omega}, the free profinite group on countably many generators. The
most surprising conclusion from our results is that the structure of C depends
only on the characteristic of k. The structure of C is already known for a
number of special cases. Perhaps the most important of these is the
(non-uniform) example \Gamma=SL_2(\mathcal{O}(S)), where \mathcal{O}(S) is the
ring of S-integers in k, with S=\{v\}, which plays a central role in the theory
of Drinfeld modules. The proof makes use of a decomposition theorem of
Lubotzky, arising from the action of \Gamma on the Bruhat-Tits tree associated
with G.


title:
A stochastic theory for temporal fluctuations in self-organized critical
  systems

abstract:
  A stochastic theory for the toppling activity in sandpile models is
developed, based on a simple mean-field assumption about the toppling process.
The theory describes the process as an anti-persistent Gaussian walk, where the
diffusion coefficient is proportional to the activity. It is formulated as a
generalization of the It\^{o} stochastic differential equation with an
anti-persistent fractional Gaussian noise source. An essential element of the
theory is re-scaling to obtain a proper thermodynamic limit, and it captures
all temporal features of the toppling process obtained by numerical simulation
of the Bak-Tang-Wiesenfeld sandpile in this limit.


title: Counting BPS Solitons and Applications

abstract:
  We propose a novel and simple method of computing the volume of the moduli
space of BPS solitons in supersymmetric gauge theory. We use a D-brane
realization of vortices and T-duality relation to domain walls. We there use a
special limit where domain walls reduce to gas of hard (soft) one-dimensional
rods for the Abelian (non-Abelian) cases. In the simpler cases of the
Abelian-Higgs model on a torus, our results agree with exact results which are
geometrically derived by an explicit integration over the moduli space of the
vortices. On the other side of the limit, we can compute the volume of the
moduli space in the combinatorial way, where the problem on the random (plane)
partition appears as well as the four dimensional instanton calculus. A part of
this talk is based on collaboration with M. Eto, T. Fujimori, M. Nitta, K.
Ohashi and N. Sakai [hep-th/0703197].


title:
Experimental and First principle calculation of Co_xNi_{(1-x)}Si solid
  solution structural stability

abstract:
  We report the investigation of the structural stability of
Co$_{(1-x)}$Ni$_x$Si monosilicides for $0<x<1$. As CoSi crystallizes in the
FeSi-type structure (B20) and NiSi is stable in the MnP-type structure (B31), a
complete set of samples has been synthesized and a systematic study of phase
formation under different annealing conditions were carried out in order to
understand the reason of such a structural transition when x goes from 0 to 1.
This study has revealed a limit in the solubility of Ni in CoSi B20 structure
of about 17.5 at.% and of Co in NiSi B31 phase of about 13 at.%. For
$0.35<x<0.74$ both B20 and B31 phases are present in the sample at there
respective limits of solubility. The temperature dependence of the magnetic
susceptibility has also been measured revealing diamagnetic behaviors. Optimal
structural parameters and phase stability of the solid solution have been
investigated using self-consistent full-potential linearized augmented plane
wave method (FP-LAPW) based on the density functional theory (DFT). This
calculation well predicts the structural instability observed experimentally.


title: Screened Coulomb interaction in the maximally localized Wannier basis

abstract:
  We discuss a maximally localized Wannier function approach for constructing
lattice models from first-principles electronic structure calculations, where
the effective Coulomb interactions are calculated in the constrained
random-phase-approximation. The method is applied to the 3d transition metals
and a perovskite (SrVO_3). We also optimize the Wannier functions by unitary
transformation so that U is maximized. Such Wannier functions unexpectedly
turned out to be very close to the maximally localized ones.


title: Dynamic Control of Laser Produced Proton Beams

abstract:
  The emission characteristics of intense laser driven protons are controlled
using ultra-strong (of the order of 10^9 V/m) electrostatic fields varying on a
few ps timescale. The field structures are achieved by exploiting the high
potential of the target (reaching multi-MV during the laser interaction).
Suitably shaped targets result in a reduction in the proton beam divergence,
and hence an increase in proton flux while preserving the high beam quality.
The peak focusing power and its temporal variation are shown to depend on the
target characteristics, allowing for the collimation of the inherently highly
divergent beam and the design of achromatic electrostatic lenses.


title: A new extended KP hierarchy

abstract:
  A method is proposed to construct a new extended KP hierarchy, which includes
two types of KP equation with self-consistent sources and admits reductions to
k-constrained KP hierarchy and to Gelfand-Dickey hierarchy with sources. It
provides a general way to construct soliton equations with sources and their
Lax representations.


title: Equicontinuous Geodesic Flows

abstract:
  The author shows that equicontinuous geodesic flows on surfaces are periodic.
A similar result for flows on 3-manifolds is also proven. The idea of the proof
is to show that the return map is recurrent and therefore periodic.


title: Eta and Eta' physics

abstract:
  This talk describes the reasons why $\eta$ and $\eta^\prime$ decays are an
interesting topic of study for both theory and experiment. The main part
discusses the results of the recent calculation of $\eta\to3\pi$ at two-loop
order in ChPT. Some puzzling aspects of the results compared to earlier
dispersive calculations are highlighted. I also like to remind the reader of
the use of $\eta$ and $\eta^\prime$ decays for studying the anomaly.


title: Correcting \alpha_3(M_Z) in the NMSGUT

abstract:
  We show that superheavy threshold corrections in the New Minimal
Supersymmetric GUT based on the SO(10) Higgs system ${\bf{210\oplus 126\oplus
{\bar {126}}\oplus 10 \oplus 120}} $ can comfortably correct the prediction for
the value of $\alpha_3(M_Z)$ from the relatively large value predicted by the
two loop RG equations to the central value determined by the current world
average. The unification scale is raised above the one loop value over almost
all of the viable parameter space.


title:
A principal component analysis approach to the morphology of Planetary
  Nebulae

abstract:
  Principal Component Analysis (PCA) is a well-known technique used to
decorrelate a set of vectors. It has been applied to explore the star formation
history of galaxies or to determine distances of mass-lossing stars. Here we
apply PCA to the optical data of Planetary Nebulae (PNe) with the aim of
extracting information about their morphological differences. Preliminary
analysis of a sample of 55 PNe with known abundances and morphology shows that
the second component (PC2), which results from a relation produced by the
parameters log(N/O), initial and final mass of PNe, is depending on the
morphology of PNe. It has been found that when log(N/O) < -0.18 the PNe's
nitrogen is low independently on the oxygen abundance for either Bipolar (B),
Elliptical (E) or Round (R) PNe. An interesting result is that both E and R PNe
have log(N/O) < 0 while only B PNe show negative and positive values.
Consequently, B PNe are expected to have higher nitrogen values than the E and
R PNe. Following that and a second sample of 35 PNe, n_{e} is also found to be
higher in B PNe. Also, in all PNe morphologies PC2 appears to have a minimum at
0.89 and PNe's initial mass at 2.6 solar masses. 5-D diagrams between PCAs
components and physical parameters are also presented. More results will follow
while simple models will be applied in order to try to give a physical meaning
to the components.


title: Dice and Pulsars

abstract:
  The pulse sequence is interpreted as a realization of a random electron
discharge process in a vacuum gap over the polar cap (PC) - the open magnetic
force line region on the neutron star surface. This point of view is
illustrated by an example based on the dice. The generators of the random
numbers are a cube and a coin. Throwing of dice and coin tossing determine the
discharge places on the "light" and "dark" sides of PC, and correspondingly -
the "shape" of the individual pulses and their statistical properties The
physical mechanism giving such discharge scheme is shortly discussed. It may be
a charge drained down from a sharp top of surface waves in a parallel electric
field on the liquid PC surface of a neutron star.


title: Flat-brane Compactifications in Supergravity Induced by Scalars

abstract:
  We discuss flat compactifications of supergravities in diverse dimensions in
the presence of branes. The compactification is induced by the scalar fields of
supergravity and it is such that there is no relic cosmological constant on the
brane, rendering this way the latter flat. We discuss in particular the D=4,
$N=2,4$ and D=8, N=1 supergravities with $n=1,2,3$ vector multiplets where the
scalar manifolds are Grassmannian cosets of the form $SO(2,n)/SO(2)\times
SO(n)$. By introducing branes at certain points in the transverse space, finite
energy solutions to the field equations are constructed. Some of the solutions
we present may be interpreted as intersecting branes.


title:
Some series and integrals involving the Riemann zeta function, binomial
  coefficients and the harmonic numbers. Volume I

abstract:
  In this series of seven papers, predominantly by means of elementary
analysis, we establish a number of identities related to the Riemann zeta
function. Whilst this paper is mainly expository, some of the formulae reported
in it are believed to be new, and the paper may also be of interest
specifically due to the fact that most of the various identities have been
derived by elementary methods.


title:
Some series and integrals involving the Riemann zeta function, binomial
  coefficients and the harmonic numbers. Volume II(a)


title:
Some series and integrals involving the Riemann zeta function, binomial
  coefficients and the harmonic numbers. Volume II(b)


title:
Some series and integrals involving the Riemann zeta function, binomial
  coefficients and the harmonic numbers. Volume III


title: Scalar Field with Robin Boundary Conditions in the Worldline Formalism

abstract:
  The worldline formalism has been widely used to compute physical quantities
in quantum field theory. However, applications of this formalism to quantum
fields in the presence of boundaries have been studied only recently. In this
article we show how to compute in the worldline approach the heat kernel
expansion for a scalar field with boundary conditions of Robin type. In order
to describe how this mechanism works, we compute the contributions due to the
boundary conditions to the coefficients A_1, A_{3/2} and A_2 of the heat kernel
expansion of a scalar field on the positive real line.


title: Ultra-Peripheral Collisions at RHIC

abstract:
  This presentation summarizes the results on ultra-peripheral collisions
obtained at RHIC. It also discusses some aspects of the corresponding
electromagnetic interactions in pp and pbarp collisions.


title:
Some series and integrals involving the Riemann zeta function, binomial
  coefficients and the harmonic numbers. Volume IV


title:
An analytical model of surface mass densities of cold dark matter haloes
  - with an application to MACHO microlensing optical depths

abstract:
  The cold dark matter (CDM) scenario generically predicts the existence of
triaxial dark matter haloes which contain notable amounts of substructure.
However, analytical halo models with smooth, spherically symmetric density
profiles are routinely adopted in the modelling of light propagation effects
through such objects. In this paper, we address the biases introduced by this
procedure by comparing the surface mass densities of actual N-body haloes
against the widely used analytical model suggested by Navarro, Frenk and White
(1996) (NFW).
  We conduct our analysis in the redshift range of 0.0 - 1.5. In cluster sized
haloes, we find that triaxiality can cause scatter in the surface mass density
of the haloes up to sigma_+ = +60% and sigma_- = -70%, where the 1-sigma limits
are relative to the analytical NFW model given value. Subhaloes can increase
this scatter to sigma_+ = +70% and sigma_- = -80%. In galaxy sized haloes, the
triaxial scatter can be as high as sigma_+ = +80% and sigma_- = -70%, and with
subhaloes the values can change to sigma_+ = +40% and sigma_- = -80%.
  We present an analytical model for the surface mass density scatter as a
function of distance to the halo centre, halo redshift and halo mass. The
analytical description enables one to investigate the reliability of results
obtained with simplified halo models. Additionally, it provides the means to
add simulated surface density scatter to analytical density profiles. As an
example, we discuss the impact of our results on the calculation of
microlensing optical depths for MACHOs in CDM haloes.


title: From DNA sequence analysis to modeling replication in the human genome

abstract:
  We explore the large-scale behavior of nucleotide compositional strand
asymmetries along human chromosomes. As we observe for 7 of 9 origins of
replication experimentally identified so far, the (TA+GC) skew displays rather
sharp upward jumps, with a linear decreasing profile in between two successive
jumps. We present a model of replication with well positioned replication
origins and random terminations that accounts for the observed characteristic
serrated skew profiles. We succeed in identifying 287 pairs of putative
adjacent replication origins with an origin spacing approximately 1-2 Mbp that
are likely to correspond to replication foci observed in interphase nuclei and
recognized as stable structures that persist throughout subsequent cell
generations.


title: On the critical exponent of generalized Thue-Morse words

abstract:
  For certain generalized Thue-Morse words t, we compute the "critical
exponent", i.e., the supremum of the set of rational numbers that are exponents
of powers in t, and determine exactly the occurrences of powers realizing it.


title:
Some series and integrals involving the Riemann zeta function, binomial
  coefficients and the harmonic numbers. Volume VI


title:
Application of Groebner bases to the cup-length of oriented Grassmann
  manifolds

abstract:
  We determine the cup-length of some oriented Grassmann manifolds by finding a
Groebner basis associated with a certain subring of the cohomology of them. As
its applications, we provide not only a lower but also an upper bound for the
LS-category of some oriented Grassmann manifolds. We also study the immersion
problem of them.


title: On the stability of AdS black strings

abstract:
  We explore via linearized perturbation theory the Gregory-Laflamme
instability of the black string solutions of Einstein's equations with negative
cosmological constant recently discussed in literature. Our results indicate
that the black strings whose conformal infinity is the product of time and
$S^{d-3}\times S^1$ are stable for large enough values of the event horizon
radius. All topological black strings are also classically stable. We argue
that this provides an explicit realization of the Gubser-Mitra conjecture.


title: Pairs of commuting Hamiltonians quadratic in momenta

abstract:
  In the case of two degree system the pairs of quadratic in momenta
Hamiltonians commuting according the standard Poisson bracket are considered.
The new many-parametrical families of such pairs are founded. The universal
method of constructing the full solution of Hamilton - Jacobi equation in terms
of integrals on some algebraic curve is proposed. For some examples this curve
is non-hyperelliptic covering over the elliptic curve.


title:
A SINFONI view of Galaxy Centers: Morphology and Kinematics of five
  Nuclear Star Formation Rings

abstract:
  We present near-infrared (H- and K-band) integral-field observations of the
circumnuclear star formation rings in five nearby spiral galaxies. The data,
obtained at the Very Large Telescope with the SINFONI spectrograph, are used to
construct maps of various emission lines that reveal the individual star
forming regions ("hot spots") delineating the rings. We derive the
morphological parameters of the rings, and construct velocity fields of the
stars and the emission line gas. We propose a qualitative, but robust,
diagnostic for relative hot spot ages based on the intensity ratios of the
emission lines Brackett gamma, HeI, and [FeII]. Application of this diagnostic
to the data presented here provides tentative support for a scenario in which
star formation in the rings is triggered predominantly at two well-defined
regions close to, and downstream from, the intersection of dust lanes along the
bar with the inner Lindblad resonance.


title:
Cross Section Constrained Top Quark Mass Measurement from Dilepton
  Events at the Tevatron

abstract:
  We report the first top quark mass measurement that uses a cross section
constraint to improve the mass determination. This measurement is made with a
dilepton $t\bar{t}$ event sample collected with the CDF II detector. From a
data sample corresponding to an integrated luminosity of 1.2 fb$^{-1}$, we
measure a top quark mass of $\rm{170.7^{+4.2}_{-3.9}(stat)\pm2.6(syst)}$
$\rm{\pm2.4(theory) GeV/{\it{c}}^{2}}$. The measurement without the cross
section constraint results in a top quark mass of
$\rm{169.7^{+5.2}_{-4.9}(stat)\pm3.1(syst) GeV/{\it{c}}^{2}}$.


title: Charged Higgs production in the flavored MSSM

abstract:
  In the Minimal Supersymmetric Standard Model squark mixing can significantly
change the pattern of charged-Higgs production. We find that non-minimal flavor
structures can have a sizeable impact on the charged-Higgs production cross
section, whereas charged-Higgs searches may be able to probe flavor structures
not accessible to rare kaon, bottom or charm experiments, and can invalidate
the assumption of minimal flavor violation.


title:
SAXJ1712.6-3739: a persistent hard X-ray source as monitored with
  INTEGRAL

abstract:
  The X-ray source SAXJ1712.6-3739 is a very weak Low Mass X-ray Binary
discovered in 1999 with BeppoSAX and located in the Galactic Center. This
region has been deeply investigated by the INTEGRAL satellite with an
unprecedented exposure time, giving us an unique opportunity to study the hard
X-ray behavior also for weak objects. The spectral results are based on the
systematic analysis of all INTEGRAL observations covering the source position
performed between February 2003 and October 2006. SAXJ1712.6-3739 did not shows
any flux variation along this period as well as compared to previous BeppoSAX
observation. Hence, to better constrain the physical parameters we combined
both instrument data. Long INTEGRAL monitoring reveals, for the first time,
that this X-ray burster is a weak persistent source, displaying a X-ray
spectrum extended to high energy and spending most of the time in a low
luminosity hard state. The broad-band spectrum is well modeled with a simple
Comptonized model with a seed photons temperature of ~0.5keV and an electron
temperature of ~24keV. The low mass accretion rate (~2x10^{-10} Msun/yr), the
long bursts recurrence time, the small sizes of the region emitting the seed
photons consisting with the inner disk radius and the high luminosity ratio in
the 40-100keV and 20-40keV band, are all features common to the Ultra Compact
source class.


title:
Elastic Nd scattering at intermediate energies as a tool for probing the
  short-range deuteron structure

abstract:
  A calculation of the deuteron polarization observables $A^d_y$, $A_{yy}$,
$A_{xx}$, $A_{xz}$ and the differential cross-section for elastic
nucleon-deuteron scattering at incident deuteron energies 270 and 880 MeV in
lab is presented. A comparison of the calculations with two different deuteron
wave-functions derived from the Bonn-CD $NN$-potential model and the dressed
bag quark model is carried out. A model-independent approach, based on an
optical potential framework, is used in which a nucleon-nucleon $T$-matrix is
assumed to be local and taken on the energy shell, but still depends on the
internal nucleon momentum in a deuteron.


title: Area limit laws for symmetry classes of staircase polygons

abstract:
  We derive area limit laws for the various symmetry classes of staircase
polygons on the square lattice, in a uniform ensemble where, for fixed
perimeter, each polygon occurs with the same probability. This complements a
previous study by Leroux and Rassart, where explicit expressions for the area
and perimeter generating functions of these classes have been derived.


title: Physics from HBT radii

abstract:
  An approximate formula connecting the true and the HBT homogeneity regions in
multiparticle production processes is derived. It implies that when calculating
the HBT radii one should use the ceter of mass systems of the pairs rather than
the now popular LCMS system. A discussion of several examples clarifies the
potential and limitations of the HBT method. The even cumulants of the
X-distribution, inculding the HBT radii, can be determined for each homogeneity
region, but the relative positions of the homogeneity regions are
unconstrained. This makes the HBT radii of little use for calculating
quantities dependent on the interparticle interactions in coordinate space.


title:
Observation of magnetization reversal and negative magnetization in a
  double perovskite compound Sr2YbRuO6

abstract:
  Detailed magnetic properties of the compound Sr2YbRuO6 are presented here.
The compound belongs to the family of double perovskites forming a monoclinic
structure. Magnetization meas-urements reveal clear evidence for two components
of magnetic ordering aligned opposite to each other, leading to a magnetization
reversal, compensation temperature (T* = 34 K) and neg-ative magnetization at
low temperatures and low magnetic fields. Heat capacity measurements
corroborate the presence of two components in the magnetic ordering and a
noticeable third anomaly at low temperatures (~15 K) which cannot be attributed
the Schottky effect. The calcu-lated magnetic entropy is substantially lower
than that expected for the ground states of the or-dered moments of Ru5+ and
Yb3+, indicating the presence of large crystal field effects and/ or
in-complete magnetic ordering and/or magnetic frustrations well above the
magnetic ordering. An attempt is made to explain the magnetization reversal
within the frameworks of available models.


title: Compactified Jacobians, Abel maps and Theta divisors

abstract: This is an expository paper about the topics listed in the title.


title:
A new formulation of the relativistic many-body theory of electric
  dipole moments of closed shell atoms

abstract:
  The electric dipole moments of closed-shell atoms are sensitive to the parity
and time-reversal violating phenomena in the nucleus. The nuclear Schiff moment
is one such property, it arises from the parity and time reversal violating
quark-quark interactions and the quark-chromo electric dipole moments. We
calculate the electric dipole moment of atomic $^{199}{\rm Hg}$ arising from
the nuclear Schiff moment using the relativistic coupled-cluster theory. This
is the most accurate calculation of the quantity to date. Our calculations in
combination with the experiment data provide important insights to the P and T
violating coupling constants at the elementary particle level. In addition, a
new limit on the tensor-pseudo tensor induced atomic EDM, calculated using the
relativistic coupled-cluster theory is also presented.


title: Bit-interleaved coded modulation in the wideband regime

abstract:
  The wideband regime of bit-interleaved coded modulation (BICM) in Gaussian
channels is studied. The Taylor expansion of the coded modulation capacity for
generic signal constellations at low signal-to-noise ratio (SNR) is derived and
used to determine the corresponding expansion for the BICM capacity. Simple
formulas for the minimum energy per bit and the wideband slope are given. BICM
is found to be suboptimal in the sense that its minimum energy per bit can be
larger than the corresponding value for coded modulation schemes. The minimum
energy per bit using standard Gray mapping on M-PAM or M^2-QAM is given by a
simple formula and shown to approach -0.34 dB as M increases. Using the low SNR
expansion, a general trade-off between power and bandwidth in the wideband
regime is used to show how a power loss can be traded off against a bandwidth
gain.


title:
Some series and integrals involving the Riemann zeta function, binomial
  coefficients and the harmonic numbers. Volume V

abstract:
  In this series of seven papers, predominantly by means of elementary
analysis, we establish a number of identities related to the Riemann zeta
function. Whilst this paper is mainly expository, some of the formulae reported
in it are believed to be new, and the paper may also be of interest
specifically due to the fact that most of the various identities have been
derived by elementary methods.


title:
Evidence for a Type 1/Type 2 dichotomy in the correlation between quasar
  optical polarization and host galaxy/extended emission position angles

abstract:
  For Seyfert galaxies, the AGN unification model provides a simple and well
established explanation of the Type 1/Type 2 dichotomy through orientation
based effects. The generalization of this unification model to the higher
luminosity AGNs that are the quasars remains a key question. The recent
detection of Type 2 Radio-Quiet quasars seems to support such an extension. We
propose to further test this scenario.
  On the basis of a compilation of quasar host galaxy position angles
consisting of previously published data and of new measurements performed using
HST Archive images, we investigate the possible existence of a correlation
between the linear polarization position angle and the host galaxy/extended
emission position angle of quasars.
  We find that the orientation of the rest-frame UV/blue extended emission is
correlated to the direction of the quasar polarization. For Type 1 quasars, the
polarization is aligned with the extended UV/blue emission while these two
quantities are perpendicular in Type 2 objects. This result is independent of
the quasar radio-loudness. We interpret this (anti-)alignment effect in terms
of scattering in a two-component polar+equatorial model which applies to both
Type 1 and Type 2 objects. Moreover the orientation of the polarization -and
then of the UV/blue scattered light- does not appear correlated to the major
axis of the stellar component of the host galaxy measured from near-IR images.


title: Parity violating cylindrical shell in the framework of QED

abstract:
  We present calculations of Casimir energy (CE) in a system of quantized
electromagnetic (EM) field interacting with an infinite circular cylindrical
shell (which we call `the defect'). Interaction is described in the only
QFT-consistent way by Chern-Simon action concentrated on the defect, with a
single coupling constant $a$.
  For regularization of UV divergencies of the theory we use % physically
motivated Pauli-Villars regularization of the free EM action. The divergencies
are extracted as a polynomial in regularization mass $M$, and they renormalize
classical part of the surface action.
  We reveal the dependence of CE on the coupling constant $a$. Corresponding
Casimir force is attractive for all values of $a$. For $a\to\infty$ we
reproduce the known results for CE for perfectly conducting cylindrical shell
first obtained by DeRaad and Milton.


title: Pseudo-goldstone higgs from five dimensions

abstract:
  I discuss radiative generation of the higgs potential in 5D models of
gauge-higgs unification.


title:
On the capacity achieving covariance matrix for Rician MIMO channels: an
  asymptotic approach

abstract:
  The capacity-achieving input covariance matrices for coherent block-fading
correlated MIMO Rician channels are determined. In this case, no closed-form
expressions for the eigenvectors of the optimum input covariance matrix are
available. An approximation of the average mutual information is evaluated in
this paper in the asymptotic regime where the number of transmit and receive
antennas converge to $+\infty$. New results related to the accuracy of the
corresponding large system approximation are provided. An attractive
optimization algorithm of this approximation is proposed and we establish that
it yields an effective way to compute the capacity achieving covariance matrix
for the average mutual information. Finally, numerical simulation results show
that, even for a moderate number of transmit and receive antennas, the new
approach provides the same results as direct maximization approaches of the
average mutual information, while being much more computationally attractive.


title: Metastable Feshbach Molecules in High Rotational States

abstract:
  We experimentally demonstrate Cs2 Feshbach molecules well above the
dissociation threshold, which are stable against spontaneous decay on the
timescale of one second. An optically trapped sample of ultracold dimers is
prepared in an l-wave state and magnetically tuned into a region with negative
binding energy. The metastable character of these molecules arises from the
large centrifugal barrier in combination with negligible coupling to states
with low rotational angular momentum. A sharp onset of dissociation with
increasing magnetic field is mediated by a crossing with a g-wave dimer state
and facilitates dissociation on demand with a well defined energy.


title: Crossings and nesting in tangled-diagrams

abstract:
  A tangled-diagram over $[n]=\{1,...,n\}$ is a graph of degree less than two
whose vertices $1,...,n$ are arranged in a horizontal line and whose arcs are
drawn in the upper halfplane with a particular notion of crossings and
nestings. Generalizing the construction of Chen {\it et.al.} we prove a
bijection between generalized vacillating tableaux with less than $k$ rows and
$k$-noncrossing tangled-diagrams and study their crossings and nestings. We
show that the number of $k$-noncrossing and $k$-nonnesting tangled-diagrams are
equal and enumerate tangled-diagrams.


title: Boxy/Peanut bulges, vertical buckling and galactic bars

abstract:
  Boxy/peanut bulges in disk galaxies have been associated to stellar bars. In
this talk, we discuss the different properties of such bulges and their
relation with the corresponding bar, using a very large sample of a few hundred
numerical N-body simulations. We present and inter-compare various methods of
measuring the boxy/peanut bulge properties, namely its strength, shape and
possible asymmetry. Some of these methods can be applied to both simulations
and observations. Our final goal is to get correlations that will allow us to
obtain information on the boxy/peanut bulge for a galaxy viewed face-on as well
as information on the bars of galaxies viewed edge-on.


title: Possibility of Narrow High-Mass Exotic States

abstract:
  Narrow high-mass states can arise despite large phase space when two nearly
degenerate states are coupled to the same dominant decay mode. Mixing via a
final-state interaction loop diagram can produce one very broad state and one
narrow state. Such a situation is generic in exotic hadrons where a color
singlet with given flavor and spin quantum numbers can be constructed with two
distinct internal color couplings of quarks. The simplest realization of this
idea are the (Q Qbar q qbar) tetraquarks containing two heavy and two light
quarks. We discuss possible experimental implications, including recent data
from Belle.


title:
Relativistic Effects in Exclusive pd Breakup Scattering at Intermediate
  Energies

abstract:
  The relativistic Faddeev equation for three-nucleon scattering is formulated
in momentum space and directly solved in terms of momentum vectors without
employing a partial wave decomposition. Relativistic invariance is achieved by
constructing a dynamical unitary representation of the Poincar\'e group on the
three-nucleon Hilbert space. The exclusive breakup reaction at 508 MeV is
calculated based on a Malfliet-Tjon type of two-body interaction and the cross
sections are compared to measured cross sections at this energy. We find that
the magnitude of the relativistic effects can be quite large and depends on the
configurations considered. In spite of the simple nature of the model
interaction, the experimental cross sections are in surprisingly good agreement
with the predictions of the relativistic calculations. We also find that
although for specific configurations the multiple scattering series converges
rapidly, this is in general not the case.


title: H.E.S.S. ICRC 2007 contributions

abstract:
  The contributions of the H.E.S.S. collaboration to the ICRC 2007 in Merida,
Mexico. All proceedings papers are compiled in a single source file.


title: Collapsing Layers on Schwarzschild-Lemaitre Geodesics

abstract:
  We discuss Israel layers collapsing inward from rest at infinity along
Schwarzschild-Lemaitre geodesics. The dynamics of the collapsing layer and its
equation of state are developed. There is a general equation of state which is
approximately polytropic in the limit of very low pressure. The equation of
state establishes a new limit on the stress-density ratio.


title:
Magnetic diffusivity tensor and dynamo effects in rotating and shearing
  turbulence

abstract:
  The turbulent magnetic diffusivity tensor is determined in the presence of
rotation or shear. The question is addressed whether dynamo action from the
shear-current effect can explain large-scale magnetic field generation found in
simulations with shear. For this purpose a set of evolution equations for the
response to imposed test fields is solved with turbulent and mean motions
calculated from the momentum and continuity equations. The corresponding
results for the electromotive force are used to calculate turbulent transport
coefficients. The diagonal components of the turbulent magnetic diffusivity
tensor are found to be very close together, but their values increase slightly
with increasing shear and decrease with increasing rotation rate. In the
presence of shear, the sign of the two off-diagonal components of the turbulent
magnetic diffusion tensor is the same and opposite to the sign of the shear.
This implies that dynamo action from the shear--current effect is impossible,
except perhaps for high magnetic Reynolds numbers. However, even though there
is no alpha effect on the average, the components of the alpha tensor display
Gaussian fluctuations around zero. These fluctuations are strong enough to
drive an incoherent alpha--shear dynamo. The incoherent shear--current effect,
on the other hand, is found to be subdominant.


title:
Low noise cryogenic system for the measurement of Casimir energy in
  rigid cavities

abstract:
  We report on preliminary results on the measurement of variations of the
Casimir energy in rigid cavities through its influence on the superconducting
transition of in-cavity aluminium (Al) thin films. After a description of the
experimental apparatus we report on a measurement made with thermal photons,
discussing its implications for the zero-point photons case. Finally we show
the preliminary results for the zero-point case.


title: The quantum entanglement contained in density matrices

abstract:
  We point out that density matrices can only be used to describe quantum
states, so the entanglement contained in a density matrix is just quantum
entanglement. This means a bipartite state described by a density matrix
contains quantum entanglement, unless the density matrix has the form
$\rho_{AB}=\rho_A\otimes \rho_B$.


title:
Double complex SUSY-transformations: deformations of real potentials and
  their spectral characteristics

abstract:
  In paper approach of double complex SUSY-transformations with not coincident
complex energies of transformation is developed, allowing to deform given real
potential $V_{1}$ with obtaining exact solutions. The explicit solutions of the
deformation of shape of the potential, its wave function at arbitrary energy,
not coincident with energies of transformation, wave functions at the energies
of transformation are obtained, condition of keeping of continuity of the
solutions and isospectral condition are determined. Using a rectangular well of
finite width with infinitely high walls as the starting $V_{1}$ with discrete
energy spectrum, by the proposed approach new types of deformation of this
potential with deformation of the energy spectrum as a whole have been
obtained. The new potential contains the rectangular well as own partial case
(with simultaneous transformation of the shape of this new potential, energy
spectrum, wave functions of all bound states, wave function at arbitrary energy
into corresponding characteristics of the rectangular well at needed choice of
parameters). Using null potential as the starting $V_{1}$ with continuous
energy spectrum, new form of reflectionless real potential has been
constructed. This potential generalizes well-known reflectionless potential of
the type $V_{\rm ref}(x) = A^{2}(1-2 {\rm sech}^{2}{Ax})$, allowing: to pull
down tails of the potential $V_{\rm ref}$ in the asymptotic regions up to zero
(with keeping of nonzero depth); to pull down continuously the depth of the
hole; to displace arbitrary along axis $x$ the hole with its passing through
zero; to create and to increase the second hole, transforming $V_{\rm ref}$
into double-well potential; to control continuously and simply the asymmetry of
the shape of such reflectionless potential.


title:
Anomalous diffusion in a random nonlinear oscillator due to high
  frequencies of the noise

abstract:
  We study the long time behaviour of a nonlinear oscillator subject to a
random multiplicative noise with a spectral density (or power-spectrum) that
decays as a power law at high frequencies. When the dissipation is negligible,
physical observables, such as the amplitude, the velocity and the energy of the
oscillator grow as power-laws with time. We calculate the associated scaling
exponents and we show that their values depend on the asymptotic behaviour of
the external potential and on the high frequencies of the noise. Our results
are generalized to include dissipative effects and additive noise.


title: A Babylonian tower theorem for principal bundles over projective spaces

abstract:
  We generalise the variant of the Babylonian tower theorem for vector bundles
on projective spaces proved by I. Coanda and G. Trautmann (2006) to the case of
principal $G$-bundles over projective spaces, where $G$ is a linear algebraic
group defined over an algebraically closed field. In course of the proofs some
new insight into the structure of such principal $G$-bundles is obtained.


title:
The periodic bursters XB1323-619 and GS1826-24: longterm evolution of
  the nuclear burning regime and comparison with theory

abstract:
  The majority of X-ray burst sources do not display a burst rate that
increases with luminosity as expected, but this is seen in the two clocked
bursters XB1323-619 and GS1826-24. We present a detailed investigation of these
two sources which in the case of the first source, spans 18 years. Based on
measurements of the burst rate, X-ray luminosity, the alpha-parameter and the
two time constants generally present in the burst decays, we demonstrate the
importance of the rp nuclear burning process. A detailed comparison with theory
shows that although the burst rate in each source agrees well with the
theoretical value, there is a difference of more than a factor of 5 in the
burst rate at a given luminosity between the sources. We show that the main
reason for this is that the two sources have substantially different emitting
areas on the neutron star in non-burst emission, a factor often neglected.
Variation of this area may explain the inverse relation of burst rate with
luminosity in the majority of burst sources.


title: Noise-induced bifurcations, Multiscaling and On-Off intermittency

abstract:
  We present recent results on noise-induced transitions in a nonlinear
oscillator with randomly modulated frequency. The presence of stochastic
perturbations drastically alters the dynamical behaviour of the oscillator:
noise can wash out a global attractor but can also have a constructive role by
stabilizing an unstable fixed point. The random oscillator displays a rich
phenomenology but remains elementary enough to allow for exact calculations:
this system is thus a useful paradigm for the study of noise-induced
bifurcations and is an ideal testing ground for various mathematical
techniques. We show that the phase is determined by the sign of the Lyapunov
exponent (which can be calculated non-perturbatively for white noise), and we
derive the full phase diagram of the system. We also investigate the effect of
time-correlations of the noise on the phase diagram and show that a smooth
random perturbation is less efficient than white noise. We study the critical
behaviour near the transition and explain why noise-induced transitions often
exhibit intermittency and multiscaling: these effects do not depend on the
amplitude of the noise but rather on its power spectrum. By increasing or
filtering out the low frequencies of the noise, intermittency and multiscaling
can be enhanced or eliminated.


title: A low-lying scalar meson nonet in a unitarized meson model

abstract:
  A unitarized nonrelativistic meson model which is successful for the
description of the heavy and light vector and pseudoscalar mesons yields, in
its extension to the scalar mesons but for the same model parameters, a
complete nonet below 1 GeV. In the unitarization scheme, real and virtual
meson-meson decay channels are coupled to the quark-antiquark confinement
channels. The flavor-dependent harmonic-oscillator confining potential itself
has bound states epsilon(1.3 GeV), S(1.5 GeV), delta(1.3 GeV), kappa(1.4 GeV),
similar to the results of other bound-state qqbar models. However, the full
coupled-channel equations show poles at epsilon(0.5 GeV), S(0.99 GeV),
delta(0.97 GeV), kappa(0.73 GeV). Not only can these pole positions be
calculated in our model, but also cross sections and phase shifts in the
meson-scattering channels, which are in reasonable agreement with the available
data for pion-pion, eta-pion and Kaon-pion in S-wave scattering.


title:
Close-up of primary and secondary asteroseismic CoRoT targets and the
  ground-based follow-up observations

abstract:
  To optimise the science results of the asteroseismic part of the CoRoT
satellite mission a complementary simultaneous ground-based observational
campaign is organised for selected CoRoT targets. The observations include both
high-resolution spectroscopic and multi-colour photometric data. We present the
preliminary results of the analysis of the ground-based observations of three
targets. A line-profile analysis of 216 high-resolution FEROS spectra of the
delta Sct star HD 50844 reveals more than ten pulsation frequencies in the
frequency range 5-18 c/d, including possibly one radial fundamental mode (6.92
c/d). Based on more than 600 multi-colour photometric datapoints of the beta
Cep star HD180642, spanning about three years and obtained with different
telescopes and different instruments, we confirm the presence of a dominant
radial mode nu1=5.48695 c/d, and detect also its first two harmonics. We find
evidence for a second mode nu2=0.3017 c/d, possibly a g-mode, and indications
for two more frequencies in the 7-8 c/d domain. From Stromgren photometry we
find evidence for the hybrid delta Sct/gamma Dor character of the F0 star HD
44195, as frequencies near 3 c/d and 21 c/d are detected simultaneously in the
different filters.


title:
Fe-doping-induced evolution of charge-orbital ordering in a
  bicritical-state manganite

abstract:
  Impurity effects on the stability of a ferromagnetic metallic state in a
bicritical-state manganite, (La0.7Pr0.3)0.65Ca0.35MnO3, on the verge of
metal-insulator transition have been investigated by substituting a variety of
transition-metal atoms for Mn ones. Among them, Fe doping exhibits the
exceptional ability to dramatically decrease the ferromagnetic transition
temperature. Systematic studies on the magnetotransport properties and x-ray
diffraction for the Fe-doped crystals have revealed that charge-orbital
ordering evolves down to low temperatures, which strongly suppresses the
ferromagnetic metallic state. The observed glassy magnetic and transport
properties as well as diffuse phase transition can be attributed to the
phase-separated state where short-range charge-orbital-ordered clusters are
embedded in the ferromagnetic metallic matrix. Such a behavior in the Fe-doped
manganites form a marked contrast to the Cr-doping effects on
charge-orbital-ordered manganites known as impurity-induced collapse of
charge-orbital ordering.


title: Velocity dispersion around ellipticals in MOND

abstract:
  We investigate how different models that have been proposed for solving the
dark matter problem can fit the velocity dispersion observed around elliptical
galaxies, on either a small scale (~ 20kpc) with stellar tracers, such as
planetary nebulae, or large scale (~ 200kpc) with satellite galaxies as
tracers. Predictions of Newtonian gravity, either containing pure baryonic
matter, or embedded in massive cold dark matter (CDM) haloes, are compared with
predictions of the modified gravity of MOND. The standard CDM model has
problems on a small scale, and the Newtonian pure baryonic model has
difficulties on a large scale, while a fit with MOND is possible on both
scales.


title: Topological entropy of realistic quantum Hall wave functions

abstract:
  The entanglement entropy of the incompressible states of a realistic quantum
Hall system are studied by direct diagonalization. The subdominant term to the
area law, the topological entanglement entropy, which is believed to carry
information about topologic order in the ground state, was extracted for
filling factors 1/3, 1/5 and 5/2. The results for 1/3 and 1/5 are consistent
with the topological entanglement entropy for the Laughlin wave function. The
5/2 state exhibits a topological entanglement entropy consistent with the
Moore-Read wave function.


title:
Quasar Host Orientation and Polarization: Insights into the Type 1/Type
  2 Dichotomy

abstract:
  We investigate correlations between the optical linear polarization position
angle and the orientation of the host galaxy/extended emission of Type 1 and
Type 2 Radio-Loud (RL) and Radio-Quiet (RQ) quasars. We have used high
resolution Hubble Space Telescope (HST) data and deconvolution process to
obtain a good determination of the host galaxy orientation. With these new
measurements and a compilation of data from the literature, we find a
significant correlation between the polarization position angle and the
position angle of the major axis of the host galaxy/extended emission. The
correlation appears different for Type 1 and Type 2 objects and depends on the
redshift of the source. Interpretations in the framework of the unification
model are discussed.


title:
Estimating the Spins of Stellar-Mass Black Holes by Fitting Their
  Continuum Spectra

abstract:
  We have used the Novikov-Thorne thin disk model to fit the continuum X-ray
spectra of three transient black hole X-ray binaries in the thermal state. From
the fits we estimate the dimensionless spin parameters of the black holes to
be: 4U 1543-47, a* = a/M = 0.7-0.85; GRO J1655-40, a* = 0.65-0.8; GRS 1915+105,
a* = 0.98-1. We plan to expand the sample of spin estimates to about a dozen
over the next several years. Some unresolved theoretical issues are briefly
discussed.


title: Density of States for HP Lattice Proteins

abstract:
  The density of states contains all informations on energetic quantities of a
statistical system, such as the mean energy, free energy, entropy, and specific
heat. As a specific application, we consider in this work a simple lattice
model for heteropolymers that is widely used for studying statistical
properties of proteins. For short chains, we have derived exact results from
conformational enumeration, while for longer ones we developed a multicanonical
Monte Carlo variant of the nPERM-based chain growth method in order to directly
simulate the density of states. For simplification, only two types of monomers
with respective hydrophobic (H) and polar (P) residues are regarded and only
the next-neighbour interaction between hydrophobic monomers, being nonadjacent
along the chain, is taken into account. This is known as the HP model for the
folding of lattice proteins.


title: Getting More From Your Multicore: Exploiting OpenMP for Astronomy

abstract:
  Motivated by the emergence of multicore architectures, and the reality that
parallelism is rarely used for analysis in observational astronomy, we
demonstrate how general users may employ tightly-coupled multiprocessors in
scriptable research calculations while requiring no special knowledge of
parallel programming. Our method rests on the observation that much of the
appeal of high-level vectorized languages like IDL or MatLab stems from
relatively simple internal loops over regular array structures, and that these
loops are highly amenable to automatic parallelization with OpenMP. We discuss
how ISIS, an open-source astrophysical analysis system embedding the S-Lang
numerical language, was easily adapted to exploit this pattern. Drawing from a
common astrophysical problem, model fitting, we present beneficial speedups for
several machine and compiler configurations. These results complement our
previous efforts with PVM, and together lead us to believe that ISIS is the
only general purpose spectroscopy system in which such a range of parallelism
-- from single processors on multiple machines to multiple processors on single
machines -- has been demonstrated.


title:
Some information-theoretic computations related to the distribution of
  prime numbers

abstract:
  We illustrate how elementary information-theoretic ideas may be employed to
provide proofs for well-known, nontrivial results in number theory.
Specifically, we give an elementary and fairly short proof of the following
asymptotic result: The sum of (log p)/p, taken over all primes p not exceeding
n, is asymptotic to log n as n tends to infinity. We also give finite-n bounds
refining the above limit. This result, originally proved by Chebyshev in 1852,
is closely related to the celebrated prime number theorem.


title:
Elements of Algebraic Geometry and the Positive Theory of Partially
  Commutative Groups

abstract:
  In this version small mistakes are corrected and the exposition is changed as
suggested by the referee (to appear in Canadian Journal of Mathematics).
  The first main result of the paper is a criterion for a partially commutative
group $\GG$ to be a domain. It allows us to reduce the study of algebraic sets
over $\GG$ to the study of irreducible algebraic sets, and reduce the
elementary theory of $\GG$ (of a coordinate group over $\GG$) to the elementary
theories of the direct factors of $\GG$ (to the elementary theory of coordinate
groups of irreducible algebraic sets).
  Then we establish normal forms for quantifier-free formulas over a
non-abelian directly indecomposable partially commutative group $\HH$.
Analogously to the case of free groups, we introduce the notion of a
generalised equation and prove that the positive theory of $\HH$ has quantifier
elimination and that arbitrary first-order formulas lift from $\HH$ to $\HH\ast
F$, where $F$ is a free group of finite rank. As a consequence, the positive
theory of an arbitrary partially commutative group is decidable.


title: Slope Stability and Exceptional Divisors of High Genus

abstract:
  We study slope stability of smooth surfaces and its connection with
exceptional divisors. We show that a surface containing an exceptional divisor
with arithmetic genus at least two is slope unstable for some polarisation. In
the converse direction we show that slope stability of surfaces can be tested
with divisors, and prove that for surfaces with non-negative Kodaira dimension
any destabilising divisor must have negative self-intersection and arithmetic
genus at least two. We also prove that a destabilising divisor can never be
nef, and as an application give an example of a surface that is slope stable
but not K-stable.


title: Geodesics in trees of hyperbolic and relatively hyperbolic groups

abstract:
  We present a careful approximation of the geodesics in trees of hyperbolic or
relatively hyperbolic groups. As an application we prove a combination theorem
for finite graphs of relatively hyperbolic groups, with both Farb's and
Gromov's definitions.


title: The fine-tuning problems of particle physics and anthropic mechanisms

abstract:
  Many of the classic problems of particle physics appear in a very different
light when viewed from the perspective of the multiverse. Most importantly the
two great ``fine tuning'' problems that motivate the field are far less serious
when one accounts for the required anthropic constraints which exist in a
multiverse. However, the challenge then becomes to construct a realistic
physical theory of the multiverse and test it. I describe some phenomenology of
the quark and lepton masses that may provide a window to the theory that
underlies the multiverse.


title:
Opacity in compact extragalactic radio sources and its effect on
  radio-optical reference frame alignment

abstract:
  Accurate alignment of the radio and optical celestial reference frames
requires detailed understanding of physical factors that may cause offsets
between the positions of the same object measured in different spectral bands.
Opacity in compact extragalactic jets (due to synchrotron self-absorption and
external free-free absorption) is one of the key physical phenomena producing
such an offset, and this effect is well-known in radio astronomy ("core
shift"). We have measured the core shifts in a sample of 29 bright compact
extragalactic radio sources observed using very long baseline interferometry
(VLBI) at 2.3 and 8.6 GHz. We report the results of these measurements and
estimate that the average shift between radio and optical positions of distant
quasars would be of the order of 0.1-0.2 mas. This shift exceeds positional
accuracy of GAIA and SIM. We suggest two possible approaches to carefully
investigate and correct for this effect in order to align accurately the radio
and optical positions. Both approaches involve determining a Primary Reference
Sample of objects to be used for tying the radio and optical reference frames
together.


title:
On the performance of algorithms for the minimization of
  $\ell_1$-penalized functionals

abstract:
  The problem of assessing the performance of algorithms used for the
minimization of an $\ell_1$-penalized least-squares functional, for a range of
penalty parameters, is investigated. A criterion that uses the idea of
`approximation isochrones' is introduced. Five different iterative minimization
algorithms are tested and compared, as well as two warm-start strategies. Both
well-conditioned and ill-conditioned problems are used in the comparison, and
the contrast between these two categories is highlighted.


title:
Algebraic Bethe Ansatz for the two species ASEP with different hopping
  rates

abstract:
  An ASEP with two species of particles and different hopping rates is
considered on a ring. Its integrability is proved and the Nested Algebraic
Bethe Ansatz is used to derive the Bethe Equations for states with arbitrary
numbers of particles of each type, generalizing the results of Derrida and
Evans. We present also formulas for the total velocity of particles of a given
type and their limit for large size of the system and finite densities of the
particles.


title: Minimal Gromov--Witten ring

abstract:
  We build the abstract theory of Gromov-Witten invariants of genus 0 for
quantum minimal Fano varieties (a minimal natural (with respect to
Gromov-Witten theory) class of varieties). In particular, we consider ``the
minimal Gromov-Witten ring'', i. e. a commutative algebra with generators and
relations of the form used in the Gromov-Witten theory of Fano variety (of
unspecified dimension). Gromov-Witten theory of any quantum minimal variety is
a homomorphism of this ring to $\mathbb C$. We prove the Abstract
Reconstruction Theorem which states the particular isomorphism of this ring
with a free commutative ring generated by ``prime two-pointed invariants''. We
also find the solutions of the differential equations of type DN for a Fano
variety of dimension N in terms of generating series of one-pointed
Gromov-Witten invariants.


title: Solution of the polynomial moment problem

abstract:
  In this paper we give a complete solution of the following "polynomial moment
problem" which arose about 10 years ago in connection with Poincare's
center-focus problem. For a given polynomial P(z) to describe polynomials Q(z)
orthogonal to all powers of P(z) on a segment [a,b].


title: The importance of radiation pressure in the launching of jets

abstract:
  Based on the results of applying the extended ADC emission model to three
Z-track sources: GX340+0, GX5-1 and CygX-2, we propose an explanation of the
Z-track sources in which the Normal and Horizontal Branches are dominated by
the increasing radiation pressure of the neutron star. The emitted flux becomes
several times super-Eddington at the Hard Apex and Horizontal Branch and we
suggest that the inner accretion disk is disrupted by this and that part of the
accretion flow is diverted vertically. This position on the Z-track is exactly
the position where radio emission is detected showing the presence of jets. We
thus propose that high radiation pressure is a necessary condition for the
launching of jets. We also show that flaring must consist of unstable nuclear
burning and that the mass accretion rate per unit emitting area of the neutron
star mdot at the onset of flaring agrees well with the critical theoretical
value at which burning becomes unstable.


title: Analysis and geometry on worm domains

abstract:
  We describe recent work on the Bergman kernel of the (non-smooth) worm domain
in several complex variables. An asymptotic expansion is obtained for the
Bergman kernel. Mapping properties of the Bergman projection are studied.
Irregularity properties of the kernal at the boundary are established.
  This is an expository paper, and considerable background is provided.
Discussion of the smooth worm is also included.


title:
Comment on ``Reduction of static field equation of Faddeev model to
  first order PDE'', arXiv:0707.2207

abstract:
  The authors of the article Phys. Lett. B 652 (2007) 384, (arXiv:0707.2207),
propose an interesting method to solve the Faddeev model by reducing it to a
set of first order PDEs. They first construct a vectorial quantity $\bm \alpha
$, depending on the original field and its first derivatives, in terms of which
the field equations reduce to a linear first order equation. Then they find
vectors $\bm \alpha_1$ and $\bm \alpha_2$ which identically obey this linear
first order equation. The last step consists in the identification of the $\bm
\alpha_i$ with the original $\bm \alpha$ as a function of the original field.
Unfortunately, the derivation of this last step in the paper cited above
contains an error which invalidates most of its results.


title:
Electron and neutrino scattering in the $\Delta$-resonance region and
  beyond

abstract:
  We present a unified relativistic approach to inclusive electron scattering
based on the relativistic Fermi gas model and on a phenomenological extension
of it which accounts for the superscaling behaviour of $(e,e')$ data. We
present results in the $\Delta$ resonance region and in the highly inelastic
domain and show some application to neutrino scattering.


title:
Asymptotic vanishing conditions which force regularity in local rings of
  prime characteristic

abstract:
  Let $(R,\m,k)$ be a local (Noetherian) ring of positive prime characteristic
$p$ and dimension $d$. Let $G_\dt$ be a minimal resolution of the residue field
$k$, and for each $i\ge 0$, let $\gothic t_i(R) = \lim_{e\to \8}
{\length(H_i(F^e(G_\dt)))}/{p^{ed}}$. We show that if $\gothic t_i(R) = 0$ for
some $i>0$, then $R$ is a regular local ring. Using the same method, we are
also able to show that if $R$ is an excellent local domain and $\Tor_i^R(k,R^+)
= 0$ for some $i>0$, then $R$ is regular (where $R^+$ is the absolute integral
closure of $R$). Both of the two results were previously known only for $i = 1$
or 2 via completely different methods.


title: Lepton Flavour Violation in SUSY-seesaw: an update

abstract:
  Here we update the predictions for lepton flavour violating tau and muon
decays, $l_j \to l_i \gamma$, $l_j \to 3 l_i$, and $\mu-e$ conversion in
nuclei. We work within a SUSY-seesaw context where the particle content of the
Minimal Supersymmetric Standard Model is extended by three right handed
neutrinos plus their corresponding SUSY partners, and where a seesaw mechanism
for neutrino mass generation is implemented. Two different scenarios with
either universal or non-universal soft supersymmetry breaking Higgs masses at
the gauge coupling unification scale are considered. After comparing the
predictions with present experimental bounds and future sensitivities, the most
promising processes are particularly emphasised.


title:
Modifcation of single molecule fluorescence close to a nanostructure:
  radiation pattern, spontaneous emission and quenching

abstract:
  The coupling of nanostructures with emitters opens ways for the realization
of man-made subwavelength light emitting elements. In this article, we
investigate the modification of fluorescence when an emitter is placed close to
a nanostructure. In order to control the wealth of parameters that contribute
to this process, we have combined scanning probe technology with single
molecule microscopy and spectroscopy. We discuss the enhancement and reduction
of molecular excitation and emission rates in the presence of a dielectric or
metallic nanoparticle and emphasize the role of plasmon resonances in the
latter. Furthermore, we examine the spectral and angular emission
characteristics of the molecule-particle system. Our experimental findings are
in excellent semi-quantitative agreement with the outcome of theoretical
calculations. We express our results in the framework of optical nanoantennae
and propose arrangements that could lead to the modification of spontaneous
emission by more than 1000 times.


title:
Full polarization control for fiber optical quantum communication
  systems using polarization encoding

abstract:
  A real-time polarization control system employing two nonorthogonal reference
signals multiplexed in either time or wavelength with the data signal is
presented. It is shown, theoretically and experimentally, that complete control
of multiple polarization states can be attained employing polarization
controllers in closed-loop configuration. Experimental results show that
negligible added penalties, corresponding to an average added optical Quantum
Bit Error Rate of 0.044%, can be achieved with response times smaller than 10
ms, without significant introduction of noise counts in the quantum channel.


title: Deep Optical Imaging of Starbursting "Transition" Dwarf Galaxies

abstract:
  A subgroup of dwarf galaxies have characteristics of a possible evolutionary
transition between star-forming systems and dwarf ellipticals. These systems
host significant starbursts in combination with smooth, elliptical outer
envelopes and small HI content; they are low on gas and unlikely to sustain
high star formation rates over significant cosmic time spans. We explore
possible origins of such starburst "transition" dwarfs using moderately deep
optical images. While galaxy-galaxy interactions could produce these galaxies,
no optical evidence exists for tidal debris or other outer disturbances, and
they also lack nearby giant neighbors which could supply recent perturbations.
Colors of the outer regions indicate that star formation ceased > 1 Gyr in the
past, a longer time span than can be reasonably associated with the current
starbursts. We consider mechanisms where the starbursts are tied either to
interactions with other dwarfs or to the state of the interstellar medium, and
discuss the possibility of episodic star formation events associated with gas
heating and cooling in low specific angular momentum galaxies.


title: Conformational Transitions of Heteropolymers

abstract:
  We study conformational transitions of simple coarse-grained models for
protein-like heteropolymers on the simple cubic lattice and off-lattice,
respectively, by means of multicanonical sampling algorithms. The effective
hydrophobic/polar models do not require the knowledge of the native topology
for a given sequence of residues as input. Therefore these models are eligible
to investigate general properties of the tertiary folding behaviour of such
protein-like heteropolymers.


title:
A density matrix approach to the dynamical properties of a two-site
  Holstein model

abstract:
  The two-site Holstein model represents a first non-trivial paradigm for the
interaction between an itinerant charge with a quantum oscillator, a very
common topic in different ambits. Exact results can be achieved both
analytically and numerically, nevertheless it can be useful to compare them
with approximate, semi-classical techniques in order to highlight the role of
quantum effects. In this paper we consider the adiabatic limit in which the
oscillator is very much slow than the electron. A density matrix approach is
introduced for studying the charge dynamics and the exact results are compared
with two different approximations: a Born-Oppenheimer-based Static
Approximation for the oscillator (SA) and a Quantum-classical (QC) dynamics.


title:
Efficiency at maximum power: An analytically solvable model for
  stochastic heat engines

abstract:
  We study a class of cyclic Brownian heat engines in the framework of
finite-time thermodynamics. For infinitely long cycle times, the engine works
at the Carnot efficiency limit producing, however, zero power. For the
efficiency at maximum power, we find a universal expression, different from the
endoreversible Curzon-Ahlborn efficiency. Our results are illustrated with a
simple one-dimensional engine working in and with a time-dependent harmonic
potential.


title: Search for Supersymmetry in Trilepton Final States with the DO Detector

abstract:
  Data taken by the DO experiment at the proton-antiproton collider at Tevatron
has been analyzed to search for signatures consistent with decay of charginos
and neutralinos. The search is performed in final states with three leptons and
missing transverse energy. No excess above the standard model expectation is
observed and limits on the production cross section times branching fraction
are set.


title:
Uniqueness of Bohmian Mechanics, and Solutions From Probability
  Conservation

abstract:
  We show that one-dimensional Bohmian mechanics is unique, in that, the Bohm
trajectories are the only solutions that conserve total left (or right)
probability. In Brandt et al., Phys. Lett. A, 249 (1998) 265--270, they define
quantile motion--unique trajectories are solved by assuming that the total
probability on each side of the particle is conserved. They argue that the
quantile trajectories are identical to the Bohm trajectories. Their argument,
however, fails to notice the gauge freedom in the definition of the quantum
probability current. Our paper sidesteps this under-determinedness of the
probability current. The one-dimensional probability conservation can be used
for higher dimensional problems if the wave function is separable. Several
examples are given using total left probability conservation, most notably, the
two-slit experiment.


title: Sub-Kolmogorov-Scale Fluctuations in Fluid Turbulence

abstract:
  We relate the intermittent fluctuations of velocity gradients in turbulence
to a whole range of local dissipation scales generalizing the picture of a
single mean dissipation length. The statistical distribution of these local
dissipation scales as a function of Reynolds number is determined in numerical
simulations of forced homogeneous isotropic turbulence with a spectral
resolution never applied before which exceeds the standard one by at least a
factor of eight. The core of the scale distribution agrees well with a
theoretical prediction. Increasing Reynolds number causes the generation of
ever finer local dissipation scales. This is in line with a less steep decay of
the large-wavenumber energy spectra in the dissipation range. The energy
spectrum for the highest accessible Taylor microscale Reynolds number
R_lambda=107 does not show a bottleneck.


title: Future Experiments in Relativistic Heavy Ion Collisions

abstract:
  The measurements at RHIC have revealed a new state of matter, which needs to
be further characterized in order to better understand its implications for the
early evolution of the universe and QCD. I will show that, in the near future,
complementary key measurements can be performed at RHIC, LHC, and FAIR. I will
focus on results than can be obtained using identified particles, a probe which
has been the basis for this conference over the past three decades. The
sophisticated detectors, built and planned, for all three accelerator
facilities enable us to measure leptons, photons, muons as well as hadrons and
resonances of all flavors almost equally well, which makes these experiments
unprecedented precision tools for the comprehensive understanding of the
physics of the early universe.