title:
Wang-Landau study of the random bond square Ising model with nearest-
  and next-nearest-neighbor interactions

abstract:
  We report results of a Wang-Landau study of the random bond square Ising
model with nearest- ($J_{nn}$) and next-nearest-neighbor ($J_{nnn}$)
antiferromagnetic interactions. We consider the case $R=J_{nn}/J_{nnn}=1$ for
which the competitive nature of interactions produces a sublattice ordering
known as superantiferromagnetism and the pure system undergoes a second-order
transition with a positive specific heat exponent $\alpha$. For a particular
disorder strength we study the effects of bond randomness and we find that,
while the critical exponents of the correlation length $\nu$, magnetization
$\beta$, and magnetic susceptibility $\gamma$ increase when compared to the
pure model, the ratios $\beta/\nu$ and $\gamma/\nu$ remain unchanged. Thus, the
disordered system obeys weak universality and hyperscaling similarly to other
two-dimensional disordered systems. However, the specific heat exhibits an
unusually strong saturating behavior which distinguishes the present case of
competing interactions from other two-dimensional random bond systems studied
previously.


title: New enlargement of the novel class of superconductors

abstract:
  Here we report on synthesis and characterization of a new member
LaO1-deltaNiBi in the family of novel superconductors. Though the onset
superconducting temperature ~4 K is smaller compared to 55 K that has been
achieved already in SmO1-deltaFeAs the similarities in crystalline structure,
elec-tronic properties and low-temperature electron transport features give
evidence to the common mechanism that seems to underlie the superconducting
state in lanthanum nickel oxybismuthides and oxyarsenides.


title:
On disc protoplanet interactions in a non-barotropic disc with thermal
  diffusion

abstract:
  We study the disc planet interactions of low-mass protoplanets embedded in a
circumstellar disc. We extend the standard theory of planet migration from the
usual locally isothermal assumption to include non-barotropic effects, focusing
on the validity of linear theory. We compared solutions of the linear equations
with results from non-linear hydrodynamic simulations, where in both cases we
adopted a background entropy gradient and solved the energy equation. We show
that the migration behavior of embedded planets depends critically on the
background radial entropy gradient in the disc. The presence of such a gradient
not only changes the corotation torque on the planet, but also always
guarantees a departure from linear behavior, which gives a singular density
response at corotation, in the absence of thermal or viscous diffusion. A
negative entropy gradient tends to give rise to positive, non-linear corotation
torques apparently produced as material executes horseshoe turns at
approximately constant entropy. These torques have no counterpart in linear
theory, but can be strong enough to push the planet outwards until saturation
starts to occur after a horseshoe libration period. Increased thermal diffusion
acts to reduce these non-linear torques, but, at the same time, it can help to
prevent their saturation. In combination with a small kinematic viscosity that
is able to maintain a smooth density profile the positive torque could be
sustained.


title: Indestructible colourings and rainbow Ramsey theorems

abstract:
  We give a negative answer to a question of Erdos and Hajnal: it is consistent
that GCH holds and there is a colouring $c:[{\omega_2}]^2\to 2$ establishing
$\omega_2 \not\to [(\omega_1;{\omega})]^2_2$ such that some colouring
$g:[\omega_1]^2\to 2$ can not be embedded into $c$. It is also consistent that
$2^{\omega_1}$ is arbitrarily large, and a function $g$ establishes
$2^{\omega_1} \not\to [(\omega_1,\omega_2)]^2_{\omega_1}$ such that there is no
uncountable $g$-rainbow subset of $2^{\omega_1}$. We also show that for each
$k\in {\omega}$ it is consistent with Martin's Axiom that the negative
partition relation $\omega_1 \not\to^* [(\omega_1;\omega_1)]_{k-bdd}$ holds.


title:
Grow-up rate and refined asymptotics for a two-dimensional
  Patlak-Keller-Segel model in a disk

abstract:
  We consider a special case of the Patlak-Keller-Segel system in a disc, which
arises in the modelling of chemotaxis phenomena. For a critical value of the
total mass, the solutions are known to be global in time but with density
becoming unbounded, leading to a phenomenon of mass-concentration in infinite
time. We establish the precise grow-up rate and obtain refined asymptotic
estimates of the solutions. Unlike in most of the similar, recently studied,
grow-up problems, the rate is neither polynomial nor exponential. In fact, the
maximum of the density behaves like $e^{\sqrt{2t}}$ for large time. In
particular, our study provides a rigorous proof of a behaviour suggested by
Sire and Chavanis [Phys. Rev. E, 2002] on the basis of formal arguments.


title: Invariant measures of minimal post-critical sets of logistic maps

abstract:
  We construct logistic maps whose restriction to the omega-limit set of its
critical point is a minimal Cantor system having a prescribed number of
distinct ergodic and invariant probability measures. In fact, we show that
every metrizable Choquet simplex whose set of extreme points is compact and
totally disconnected can be realized as the set of invariant probability
measures of a minimal Cantor system corresponding to the restriction of a
logistic map to the omega-limit set of its critical point. Furthermore, we show
that such a logistic map $f$ can be taken so that each such invariant measure
has zero Lyapunov exponent and is an equilibrium state of $f$ for the potential
$-\ln |f'|$.


title: Are proteins ultrametric?

abstract:
  A simple and surprisingly accurate description of spectral diffusion in
deeply frozen globular proteins is constructed directly using the concept of
ultrametricity of protein dynamics. Earlier the similar concept has been used
for successful description of ligand-rebinding kinetics of myoglobin at
temperatures about of 200 K. Hence the ultrametricity offers a universal
background for the protein dynamics in a wide range of scales of protein
motions.


title:
From acene to graphene spectrum of $\pi$ electrons with the use of the
  Green's function

abstract:
  Origin of the spectrum of $\pi$ electrons that results from coupling of $N$
$\cal N$-long acenes via C-C covalent bonding have been traced with the use of
the Green function formalism. Exact expressions of acene and graphene Green's
functions, which are useful for analysis of electronic properties of these
macromolecules, are obtained and advanced to the form suitable for instructive
applications.


title: Fermions on Thick Branes in the Background of Sine-Gordon Kinks

abstract:
  A class of thick branes in the background of sine-Gordon kinks with a scalar
potential $V(\phi)=p(1+\cos\frac{2\phi}{q})$ was constructed by R. Koley and S.
Kar [Classical Quantum Gravity \textbf{22}, 753 (2005)]. In this paper, in the
background of the warped geometry, we investigate the issue of localization of
spin half fermions on these branes in the presence of two types of
scalar-fermion couplings: $\eta\bar{\Psi}\phi\Psi$ and $\eta\bar{\Psi}\sin\phi
\Psi$. By presenting the mass-independent potentials in the corresponding
Schr\"{o}dinger equations, we obtain the lowest Kaluza--Klein (KK) modes and a
continuous gapless spectrum of KK states with $m^2>0$ for both types of
couplings. For the Yukawa coupling $\eta\bar{\Psi}\phi\Psi$, the effective
potential of the right chiral fermions for positive $q$ and $\eta$ is always
positive, hence only the effective potential of the left chiral fermions could
trap the corresponding zero mode. This is a well-known conclusion which had
been discussed extensively in the literature. However, for the coupling
$\eta\bar{\Psi}\sin\phi \Psi$, the effective potential of the right chiral
fermions for positive $q$ and $\eta$ is no longer always positive. Although the
value of the potential at the location of the brane is still positive, it has a
series of wells and barriers on each side, which ensures that the right chiral
fermion zero mode could be trapped. Thus we may draw the remarkable conclusion:
for positive $\eta$ and $q$, the potentials of both the left and right chiral
fermions could trap the corresponding zero modes under certain restrictions.


title: The Fractal Distribution of HII Regions in Disk Galaxies

abstract:
  It is known that the gas has a fractal structure in a wide range of spatial
scales with a fractal dimension that seems to be a constant around Df = 2.7. It
is expected that stars forming from this fractal medium exhibit similar fractal
patterns. Here we address this issue by quantifying the degree to which
star-forming events are clumped. We develop, test, and apply a precise and
accurate technique to calculate the correlation dimension Dc of the
distribution of HII regions in a sample of disk galaxies. We find that the
determination of Dc is limited by the number of HII regions, since if there are
< 100 regions available then a bias tending to underestimate the dimension is
produced. The reliable results are distributed in the range 1.5 < Dc < 2.0 with
an average value Dc = 1.81. This corresponds to a three-dimensional dimension
of Df = 2.73, very similar to the value measured in the interstellar clouds.
However, we get significant variations in the fractal dimension among galaxies,
contrary to a universal picture sometimes claimed in literature. The fractal
dimension exhibits a weak but significant correlation with the absolute
magnitude and, to a lesser extent, with the galactic radius. The faintest
galaxies tend to distribute their HII regions in more clustered (less uniform)
patterns. The fractal dimension for the brightest HII regions within the same
galaxy seems to be smaller than for the faintest ones suggesting some kind of
evolutionary efffect, but the obtained correlation remains unchanged if only
the brightest regions are taken into account.


title: Generalized Berezin quantization, Bergman metrics and fuzzy Laplacians

abstract:
  We study extended Berezin and Berezin-Toeplitz quantization for compact
Kaehler manifolds, two related quantization procedures which provide a general
framework for approaching the construction of fuzzy compact Kaehler geometries.
Using this framework, we show that a particular version of generalized Berezin
quantization, which we baptize "Berezin-Bergman quantization", reproduces
recent proposals for the construction of fuzzy Kaehler spaces. We also discuss
how fuzzy Laplacians can be defined in our general framework and study a few
explicit examples. Finally, we use this approach to propose a general explicit
definition of fuzzy scalar field theory on compact Kaehler manifolds.


title:
Experimental investigation of the dynamics of entanglement: Sudden
  death, complementarity, and continuous monitoring of the environment

abstract:
  We report on an experimental investigation of the dynamics of entanglement
between a single qubit and its environment, as well as for pairs of qubits
interacting independently with individual environments, using photons obtained
from parametric down-conversion. The qubits are encoded in the polarizations of
single photons, while the interaction with the environment is implemented by
coupling the polarization of each photon with its momentum. A convenient Sagnac
interferometer allows for the implementation of several decoherence channels
and for the continuous monitoring of the environment. For an
initially-entangled photon pair, one observes the vanishing of entanglement
before coherence disappears. For a single qubit interacting with an
environment, the dynamics of complementarity relations connecting single-qubit
properties and its entanglement with the environment is experimentally
determined. The evolution of a single qubit under continuous monitoring of the
environment is investigated, demonstrating that a qubit may decay even when the
environment is found in the unexcited state. This implies that entanglement can
be increased by local continuous monitoring, which is equivalent to
entanglement distillation. We also present a detailed analysis of the transfer
of entanglement from the two-qubit system to the two corresponding
environments, between which entanglement may suddenly appear, and show
instances for which no entanglement is created between dephasing environments,
nor between each of them and the corresponding qubit: the initial two-qubit
entanglement gets transformed into legitimate multiqubit entanglement of the
Greenberger-Horne-Zeilinger (GHZ) type.


title: QGP collective effects and jet transport

abstract:
  We present numerical simulations of the SU(2) Boltzmann-Vlasov equation
including both hard elastic particle collisions and soft interactions mediated
by classical Yang-Mills fields. We provide an estimate of the coupling of jets
to a hot isotropic plasma, which is independent of infrared cutoffs. In
addition, we investigate jet propagation in anisotropic plasmas, as created in
heavy-ion collisions. The broadening of jets is found to be stronger along the
beam line than in azimuth due to the creation of field configurations with
B_t>E_t and E_z>B_z via plasma instabilities.


title:
System size dependence of strange particle correlations in Cu+Cu and
  Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV in STAR at RHIC

abstract:
  Two particle azimuthal correlations with strange trigger particles
($K^0_S,\Lambda,\Xi$) are presented in Cu+Cu and Au+Au collisions at
$\sqrt{s_{NN}}$ = 200 GeV in STAR at RHIC. The near-side associated yield is
investigated as a function of centrality, $p_T$, and strangeness content of the
trigger to investigate possible flavour or meson/baryon differences. The system
size dependence of both the jet-like correlations and the long range
pseudorapidity correlations is studied to give insight into the origin of these
two components.


title:
Spitzer Space Telescope evidence in NGC 6791: no super-mass-loss at
  super-solar metallicity to explain helium white dwarfs?

abstract:
  We use archival Spitzer Space Telescope photometry of the old, super-solar
metallicity massive open cluster NGC 6791 to look for evidence of enhanced mass
loss, which has been postulated to explain the optical luminosity function and
low white dwarf masses in this benchmark cluster. We find a conspicuous lack of
evidence for prolificacy of circumstellar dust production that would have been
expected to accompany such mass loss. We also construct the optical and
infrared luminosity functions, and demonstrate that these fully agree with
theoretical expectations. We thus conclude that there is no evidence for the
mass loss of super-solar metallicity red giants to be sufficiently high that
they can avoid the helium flash at the tip of the red giant branch.


title: Modelling recorded crime: a full search for cointegrated models

abstract:
  A modelgenerator is developed that searches for cointegrated models among a
potentially large group of candidate models. The generator employs the first
step of the Engle-Granger procedure and orders cointegrated models according to
the information criterions AIC and BIC. Assisted by the generator, a
cointegrated relation is established between recorded violent crime in the
Netherlands, the number of males aged 15-25 years (split into Western and
non-Western background) and deflated consumption. In-sample forecasts reveal
that the cointegrated model outperforms the best short-run models.


title: Entropy estimates of small data sets

abstract:
  Estimating entropies from limited data series is known to be a non-trivial
task. Naive estimations are plagued with both systematic (bias) and statistical
errors. Here, we present a new 'balanced estimator' for entropy functionals
Shannon, R\'enyi and Tsallis) specially devised to provide a compromise between
low bias and small statistical errors, for short data series. This new
estimator out-performs other currently available ones when the data sets are
small and the probabilities of the possible outputs of the random variable are
not close to zero. Otherwise, other well-known estimators remain a better
choice. The potential range of applicability of this estimator is quite broad
specially for biological and digital data series.


title:
Characteristics of Parton Energy Loss Studied with High-p_T Particle
  Spectra from PHENIX

abstract:
  In the first three years of the physics program at the Relativistic Heavy Ion
Collider (RHIC) a picture was established in which the suppression of hadrons
at high transverse momenta (p_T) in central Au+Au collisions is explained by
energy loss of quark and gluon jets in a medium of high color-charge density.
Measurements of single particle spectra for a smaller nucleus (Cu), for
different center-of-mass energies and with higher statistics were performed in
the subsequent years and are used to test predictions and assumptions of jet
quenching models in more detail. The measurements presented here are consistent
with a parton energy loss scenario so that these models can be used to relate
the observed suppression to properties of the created medium.


title:
Formation of the Small Magellanic Cloud: ancient major merger as a
  solution to the kinematical differences between old stars and HI gas

abstract:
  Recent observations of the Small Magellanic Cloud (SMC) have revealed that
the HI gas shows a significant amount of rotation (V_c 60 km/s), while no or
little rotation is evident for the old stellar populations. We suggest that
this unique kinematical difference between these components in the SMC can be
caused by a major merger event which occurred in the early stage of the SMC
formation. Our simulations show that dissipative dwarf-dwarf merging can
transform two gas-rich dwarf irregulars into a new dwarf, which consists of a
spheroidal stellar component and a rotating extended HI disk. The remnant of
this dwarf-dwarf merging shows significantly different kinematics between stars
and gas, in the sense that a gas disk rotates rapidly while a stellar component
shows little rotation. We thus suggest that the simulated dwarf having a
dynamically hot spheroid and an extended gas disk finally evolves into the
present SMC after efficient stripping of the outer gas via tidal fields of the
Galaxy and the Large Magellanic Cloud. We also suggest that spatial
distributions and kinematics of RGB and AGB stars with different ages in the
possible spheroidal component of the SMC can provide valuable information on
whether and when a past major merger event really occurred in the SMC.


title: Probability in relativistic Bohmian mechanics of particles and strings

abstract:
  Even though the Bohmian trajectories given by integral curves of the
conserved Klein-Gordon current may involve motions backwards in time, the
natural relativistic probability density of particle positions is well-defined.
The Bohmian theory predicts subtle deviations from the statistical predictions
of more conventional formulations of quantum theory, but it seems that no
present experiment rules this theory out. The generalization to the case of
many particles or strings is straightforward, provided that a preferred
foliation of spacetime is given.


title: Data linkage algebra, data linkage dynamics, and priority rewriting

abstract:
  We introduce an algebra of data linkages. Data linkages are intended for
modelling the states of computations in which dynamic data structures are
involved. We present a simple model of computation in which states of
computations are modelled as data linkages and state changes take place by
means of certain actions. We describe the state changes and replies that result
from performing those actions by means of a term rewriting system with rule
priorities. The model in question is an upgrade of molecular dynamics. The
upgrading is mainly concerned with the features to deal with values and the
features to reclaim garbage.


title:
Directional States of Symmetric-Top Molecules Produced by Combined
  Static and Radiative Electric Fields

abstract:
  We show that combined electrostatic and radiative fields can greatly amplify
the directional properties, such as axis orientation and alignment, of
symmetric top molecules. In our computational study, we consider all four
symmetry combinations of the prolate and oblate inertia and polarizability
tensors, as well as the collinear and perpendicular (or tilted) geometries of
the two fields. In, respectively, the collinear or perpendicular fields, the
oblate or prolate polarizability interaction due to the radiative field forces
the permanent dipole into alignment with the static field. Two mechanisms are
found to be responsible for the amplification of the molecules' orientation,
which ensues once the static field is turned on: (a) permanent-dipole coupling
of the opposite-parity tunneling doublets created by the oblate polarizability
interaction in collinear static and radiative fields; (b) hybridization of the
opposite parity states via the polarizability interaction and their coupling by
the permanent dipole interaction to the collinear or perpendicular static
field. In perpendicular fields, the oblate polarizability interaction, along
with the loss of cylindrical symmetry, is found to preclude the wrong-way
orientation, causing all states to become high-field seeking with respect to
the static field. The adiabatic labels of the states in the tilted fields
depend on the adiabatic path taken through the parameter space comprised of the
permanent and induced-dipole interaction parameters and the tilt angle between
the two field vectors.


title: Tetraquarks with charm in coupled-channel formalism

abstract:
  The relativistic four-quark equations are found in the framework of
coupled-channel formalism. The dynamical mixing of the meson-meson states with
the four-quark states is considered. The approximate solutions of these
equations using the method based on the extraction of leading singularities of
the amplitudes are obtained. The four-quark amplitudes of cryptoexotic mesons
including the quarks of three flavours (u, d, s) and the charmed quark are
constructed. The poles of these amplitudes determine the masses of tetraquarks.
The mass values of low-lying tetraquarks are calculated.


title:
The Vimos VLT Deep Survey: Global properties of 20000 galaxies in the
  I_AB<=22.5 WIDE survey

abstract:
  The VVDS-Wide survey has been designed with the general aim of tracing the
large-scale distribution of galaxies at z~1 on comoving scales reaching
~100Mpc/h, while providing a good control of cosmic variance over areas as
large as a few square degrees. This is achieved by measuring redshifts with
VIMOS at the ESO VLT to a limiting magnitude I_AB=22.5, targeting four
independent fields with size up to 4 sq.deg. each. The whole survey covers 8.6
sq.deg., here we present the general properties of the current redshift sample.
This includes 32734 spectra in the four regions (19977 galaxies, 304 type I
AGNs, and 9913 stars), covering a total area of 6.1 sq.deg, with a sampling
rate of 22 to 24%. The redshift success rate is above 90% independently of
magnitude. It is the currently largest area coverage among redshift surveys
reaching z~1. We give the mean N(z) distribution averaged over 6.1 sq.deg.
Comparing galaxy densities from the four fields shows that in a redshift bin
Deltaz=0.1 at z~1 one still has factor-of-two variations over areas as large as
~0.25 sq.deg. This level of cosmic variance agrees with that obtained by
integrating the galaxy two-point correlation function estimated from the F22
field alone, and is also in fairly good statistical agreement with that
predicted by the Millennium mocks. The variance estimated over the survey
fields shows explicitly how clustering results from deep surveys of even ~1
sq.deg. size should be interpreted with caution. This paper accompanies the
public release of the first 18143 redshifts of the VVDS-Wide survey from the 4
sq.deg. contiguous area of the F22 field at RA=22h, publicly available at
http://cencosw.oamp.fr


title:
Giant Magnetoelectric Effect via Strain-Induced Spin-Reorientation
  Transitions in Ferromagnetic Films

abstract:
  It is shown theoretically that a giant magnetoelectric susceptibility
exceeding 10^-6 s/m may be achieved in the ferromagnetic/ferroelectric
epitaxial systems via the magnetization rotation induced by an electric field
applied to the substrate. The predicted magnetoelectric anomaly results from
the strain-driven spin-reorientation transitions in ferromagnetic films, which
take place at experimentally accessible misfit strains in CoFe2O4 and Ni films.


title:
On the topological essential range and regularity of cocycles over
  compact and generic systems

abstract:
  We consider the notions of topological essential range and regularity for
continuous cocycles over minimal $\Z$-systems introduced in \cite{GH} and
discuss relations with their generic counterparts. The alternative generic
definitions can be given by using the notion of generic Mackey action
associated with a cocycle. We further present a description of recurrent
cocycles over minimal rotations with values in discrete groups and derive
several consequences.


title:
Intermediate left-right gauge symmetry, unification of couplings and
  fermion masses in SUSY $SO(10)\times S_4$

abstract:
  If left-right gauge theory occurs as an intermediate symmetry in a GUT then,
apart from other advantages, it is possible to obtain the see-saw scale
necessary to understand small neutrino masses with Majorana coupling of order
unity. Barring threshold or non-renormalizable gravitational effects, or
assumed presence of additional light scalar particles of unprescribed origin,
all other attempts to achieve manifest one-loop gauge coupling unification in
SUSY SO(10) with left-right intermediate symmetry have not been successful so
far. Attributing this failure to lack of flavor symmetry in the GUT, we show
how the spontaneous symmetry breaking of $SO(10)\times S_4$ leads to such
intermediate scale extending over a wide range, $M_R \simeq 5\times 10^{9}$ GeV
to $10^{15}$ GeV. All the charged fermion masses are fitted at the see-saw
scale, $M_N\simeq M_R \simeq 4 \times 10^{13}$ GeV which is obtained with
Majorana coupling $f_0 \simeq 1$. Using a constrained parametrization in which
CP-violation originates only from quark sector, besides other predictions made
in the neutrino sector, the reactor mixing angle is found to be $\theta_{13}
\simeq 3^{\circ} - 5^{\circ}$ which is in the range accessible to ongoing and
planned experiments. The leptonic Dirac phase turns out to be $\delta \sim 2.9-
3.1$ radians with Jarlskog invariant $J \sim 2.95 \times 10^{-5} - 10^{-3}$.


title:
A new general relativistic magnetohydrodynamics code for dynamical
  spacetimes

abstract:
  We present a new numerical code which solves the general relativistic
magneto-hydrodynamics (GRMHD) equations coupled to the Einstein equations for
the evolution of a dynamical spacetime within the conformally-flat
approximation. This code has been developed with the main objective of studying
astrophysical scenarios in which both, high magnetic fields and strong
gravitational fields appear, such as the magneto-rotational collapse of stellar
cores, the collapsar model of GRBs, and the evolution of neutron stars. The
code is based on an existing and thoroughly tested purely hydrodynamics code
and on its extension to accommodate weakly magnetized fluids (passive magnetic
field approximation). The numerical code we present here is based on
high-resolution shock-capturing schemes to solve the GRMHD equations together
with the flux constraint transport method to ensure the solenoidal condition of
the magnetic field. Since the astrophysical applications envisaged do not
deviate much from spherical symmetry, the conformal flatness condition
approximation is used for the formulation of the Einstein equations. In
addition, the code can handle several equations of state, from simple
analytical expressions to microphysical tabulated ones. In this paper we
present stringent tests of our new GRMHD numerical code, which show its ability
to handle all aspects appearing in the astrophysical scenarios for which the
code is intended, namely relativistic shocks, highly magnetized fluids, and
equilibrium configurations of magnetized neutron stars. As an application,
magneto-rotational core collapse simulations of a realistic progenitor are
presented, comparing the results with our previous finding in the passive
magnetic field approximation.


title: QCD-Instantons and Conformal Space-Time Inversion Symmetry

abstract:
  In this paper, we explore the appealing possibility that the strong
suppression of large-size QCD instantons - as evident from lattice data - is
due to a surviving conformal space-time inversion symmetry. This symmetry is
both suggested from the striking invariance of high-quality lattice data for
the instanton size distribution under inversion of the instanton size rho -->
<rho>^2 / rho and from the known validity of space-time inversion symmetry in
the classical instanton sector. We project the instanton calculus onto the
four-dimensional surface of a five-dimensional sphere via conformal
stereographic mapping, before investigating conformal inversion. This
projection to a compact, curved geometry is both to avoid the occurence of
divergences and to introduce the average instanton size <rho> from the lattice
data as a new length scale. The average instanton size is identified with the
radius b of this 5d-sphere and acts as the conformal inversion radius. For b =
<rho>, our corresponding results are almost perfectly symmetric under
space-time inversion and in good qualitative agreement with the lattice data.
For rho / b --> 0, we recover the familiar results of instanton perturbation
theory in flat 4d-space. Moreover, we illustrate that a (weakly broken)
conformal inversion symmetry would have significant consequences for QCD beyond
instantons. As a further successful test for inversion symmetry, we present
striking implications for another instanton dominated lattice observable, the
chirality-flip ratio in the QCD vacuum.


title: Phantom Higgs from Unparticles

abstract:
  A renormalizable coupling between the Higgs and a scalar unparticle operator
O_U of non-integer dimension d_U < 2 gives rise, after electroweak symmetry
breaking, to a mass gap in the unparticle continuum and a shift in the original
Higgs mass, which can end up above or below the mass gap. We show that, besides
the displaced Higgs state, a new isolated state can generically appear in the
spectrum near or below the mass gap. Such state (which we call phantom Higgs)
is a mixture of Higgs and unparticles and therefore has universally reduced
couplings to fermions and gauge bosons. This phenomenon could cause the mass of
the lightest Higgs state accessible to colliders to be much smaller than the
mass expected from the SM Lagrangian.


title: Metastable Black Saturns

abstract:
  Black Saturns have multiple horizons and so offer a testing ground for the
ideas of black hole thermodynamics. In this note, we numerically scan for
phases that are in equilibrium by extremizing total entropy in the
2-dimensional moduli space of stationary, singly rotating black Saturns with
fixed total mass and angular momentum. On top of the known T_H=T_R,
Omega_H=Omega_R configurations, we find phases that do not balance the
temperature and angular velocity of the ring and the hole. But these (and most
of the balanced Saturns) go away when we demand that the system is metastable,
by imposing that the Hessian of the entropy is negative definite. Metastablity
occurs when the dimensionless total angular momentum lies in a narrow window
0.92457<j<0.92463 of the thin ring branch. This is consistent with the expected
range of classical stability of black Saturns and therefore may imply that
thermal stability is tied to classical stability, in analogy with Gubser-Mitra
in the translationally-invariant case. We also comment on the possibility of
constructing plasma configurations that are dual to black Saturns in AdS.


title:
A compact null set containing a differentiability point of every
  Lipschitz function

abstract:
  We prove that in a Euclidean space of dimension at least two, there exists a
compact set of Lebesgue measure zero such that any real-valued Lipschitz
function defined on the space is differentiable at some point in the set. Such
a set is constructed explicitly.


title:
Measurement of the absolute branching ratio of the K+ -> pi+ pi0 (gamma)
  decay with the KLOE detector

abstract:
  We have measured the absolute branching ratio of the K+ -> pi+ pi0 (gamma)
decay, using about 20 million tagged K+ mesons collected with the KLOE detector
at DAFNE, the Frascati phi-factory. Signal counts are obtained from the fit of
the distribution of the momentum of the charged decay particle in the kaon rest
frame. The result, inclusive of final-state radiation, is BR(K+ -> pi+ pi0
(gamma))=0.2065+/-0.0005_{stat}+/- 0.0008_{syst}.


title:
A criterion for the reality of the spectrum of PT symmetric Schroedinger
  operators with complex-valued periodic potentials

abstract:
  Consider in $L^2(\R)$ the \Sc operator family $H(g):=-d^2_x+V_g(x)$ depending
on the real parameter $g$, where $V_g(x)$ is a complex-valued but $PT$
symmetric periodic potential. An explicit condition on $V$ is obtained which
ensures that the spectrum of $H(g)$ is purely real and band shaped;
furthermore, a further condition is obtained which ensures that the spectrum
contains at least a pair of complex analytic arcs.


title:
Phase Diagram and Entanglement of Ising Model With Dzyaloshinskii-Moriya
  Interaction

abstract:
  We have studied the phase diagram and entanglement of the one dimensional
Ising model with Dzyaloshinskii-Moriya (DM) interaction. We have applied the
quantum renormalization group (QRG) approach to get the stable fixed points,
critical point and the scaling of coupling constants. This model has two
phases, antiferromagnetic and saturated chiral ones. We have shown that the
staggered magnetization is the order parameter of the system and DM interaction
produces the chiral order in both phases. We have also implemented the exact
diagonalization (Lanczos) method to calculate the static structure factors. The
divergence of structure factor at the ordering momentum as the size of systems
goes to infinity defines the critical point of the model. Moreover, we have
analyzed the relevance of the entanglement in the model which allows us to shed
insight on how the critical point is touched as the size of the system becomes
large. Nonanalytic behavior of entanglement and finite size scaling have been
analyzed which is tightly connected to the critical properties of the model. It
is also suggested that a spin-fluid phase has a chiral order in terms of new
spin operators which are defined by a nonlocal transformation.


title: The nature of mid-infrared excesses from hot dust around Sun-like stars

abstract:
  (ABRIDGED) Studies of debris disks have shown that most systems are analogous
to the Edgeworth-Kuiper Belt. However a rare subset of sun-like stars possess
dust which lies in the terrestrial planet region. In this study we aim to
determine how many sources with apparent mid-IR excess are truly hosts of warm
dust, and investigate where the dust must lie. We observed using mid-IR imaging
with TIMMI2, VISIR and MICHELLE a sample of FGK main sequence stars reported to
have hot dust. A new modelling approach was developed to determine the
constraints that can be set on the radial extent of excess emission. We confirm
the presence of warm dust around 3 of the candidates (eta Corvi, HD145263 and
HD202406), and present constraints on the emitting dust regions. Of 2
alternative models for the eta Corvi excess emission, we find that a model with
1 hot dust component at <3 AU (combined with the known submm dust population)
fits the data better at the 2.6sigma level than an alternative model with 2
populations of dust in the mid-IR. We identify several systems which have a
companion (HD65277 and HD79873) or background object (HD53246, HD123356 and
HD128400) responsible for their mid-infrared excess, and for 3 other systems we
were able to rule out a point-like source near the star at the level of excess
observed in lower resolution observations (HD12039, HD69830 and HD191089). Hot
dust sources are either young and possibly primordial or transitional, or have
relatively small radius steady-state planetesimal belts, or they are old and
luminous with transient emission. High resolution imaging can be used to
constrain the location of the disk and help to discriminate between different
models of disk emission. For some small disks, interferometry is needed to
resolve the disk location.


title:
Model-Independent Analysis of Tri-bimaximal Mixing -- a Softly-Broken
  Hidden or an Accidental Symmetry?

abstract:
  To address the issue of whether tri-bimaximal mixing (TBM) is a softly-broken
hidden or an accidental symmetry, we adopt a model-independent analysis in
which we perturb a neutrino mass matrix leading to TBM in the most general way
but leave the three texture zeros of the diagonal charged lepton mass matrix
unperturbed. We compare predictions for the perturbed neutrino TBM parameters
with those obtained from typical SO(10) grand unified theories with a variety
of flavor symmetries. Whereas SO(10) GUTs almost always predict a normal mass
hierarchy for the light neutrinos, TBM has a priori no preference for neutrino
masses. We find, in particular for the latter, that the value of |U_{e3}| is
very sensitive to the neutrino mass scale and ordering. Observation of
|U_{e3}|^2 > 0.001 to 0.01 within the next few years would be incompatible with
softly-broken TBM and a normal mass hierarchy and would suggest that the
apparent TBM symmetry is an accidental symmetry instead. No such conclusions
can be drawn for the inverted and quasi-degenerate hierarchy spectra.


title: The cosmic ray luminosity of the nearby active galactic nuclei

abstract:
  The pointing directions of extensive air showers observed at the Pierre Auger
Observatory were fitted within 3.1 degree with positions of the nearby active
galactic nuclei from the Veron-Cetty and P. Veron catalog. The cosmic ray
luminosity of the active galactic nuclei which happened to be a source of the
particular cosmic ray event constitutes a fraction ~0.0001 of the optical one
if only cosmic ray particles with energies above 60 EeV are produced. If
produced cosmic ray particles have a spectrum dE/E^3 up to ~100 GeV then the
cosmic ray luminosity would be much higher than the optical one of the active
galactic nuclei.


title: Electronic structure of magnetically modulated graphene

abstract:
  We present a theoretical study of the electronic structure of magnetically
modulated graphene. We consider monolayer graphene in the presence of a
perpendicular magnetic field and a unidirectional weak magnetic modulation. The
density of states and the bandwidth of the Dirac electrons in this system are
determined. We have found magnetic Weiss oscillations in the bandwidth and the
density of states. These oscillations are out of phase and larger in amplitude
than the ones in the electrically modulated graphene. In addition, these
oscillations are in phase and smaller in amplitude to those of magnetically
modulated standard electron gas system.


title: Feature Unification in TAG Derivation Trees

abstract:
  The derivation trees of a tree adjoining grammar provide a first insight into
the sentence semantics, and are thus prime targets for generation systems. We
define a formalism, feature-based regular tree grammars, and a translation from
feature based tree adjoining grammars into this new formalism. The translation
preserves the derivation structures of the original grammar, and accounts for
feature unification.


title:
A recoiling supermassive black hole in the quasar
  SDSSJ092712.65+294344.0?

abstract:
  We present SDSSJ092712.65+294344.0 as the best candidate to date for a
recoiling supermassive black hole (SMBH). SDSSJ0927+2943 shows an exceptional
optical emission-line spectrum with two sets of emission lines: one set of very
narrow emission lines, and a second set of broad Balmer and broad
high-ionization forbidden lines which are blueshifted by 2650 km\s relative to
the set of narrow emission lines. This observation is most naturally explained
if the SMBH was ejected from the core of the galaxy, carrying with it the
broad-line gas while leaving behind the bulk of the narrow-line gas. We show
that the observed properties of SDSSJ0927+2943 are consistent with predictions
and expectations from recent numerical relativity simulations which demonstrate
that SMBHs can receive kicks up to several thousand km\s due to anisotropic
emission of gravitational waves during the coalescence of a binary. Our
detection of a strong candidate for a rapidly recoiling SMBH implies that kicks
large enough to remove SMBHs completely from their host galaxies do occur, with
important implications for models of black hole and galaxy assembly at the
epoch of structure formation, and for recoil models.


title: Oscillating Universe from inhomogeneous EoS and coupled dark energy

abstract:
  An occurrence of an oscillating Universe is showed using an inhomogeneous
equation of state for dark energy fluid. The Hubble parameter described
presents a periodic behavior such that early and late time acceleration are
unified under the same mechanism. Also, it is considered a coupling between
dark energy fluid, with homogeneous and constant EoS, and matter, that gives a
periodic Universe too. The possible phantom phases and future singularities are
studied in the oscillating Universe under discussion. The equivalent
scalar-tensor representation for the same oscillating Universe is presented
too.


title: On termination of log flips in dimension four

abstract:
  We prove the termination of 4-fold log flips for klt pairs of Kodaira
dimension $\kappa\ge 2$.


title:
Perelman's invariant and collapse via geometric characteristic
  splittings

abstract:
  Any closed orientable and smooth non-positively curved manifold M is known to
admit a geometric characteristic splitting, analogous to the JSJ decomposition
in three dimensions. We show that when this splitting consists of pieces which
are Seifert fibered or pieces each of whose fundamental group has non-trivial
centre, M collapses with bounded curvature and has zero Perelman invariant.


title:
Loading of large ion Coulomb crystals into a linear Paul trap
  incorporating an optical cavity for cavity QED studies

abstract:
  We report on the loading of large ion Coulomb crystals into a linear Paul
trap incorporating a high-Finesse optical cavity (F~3200). We show that, even
though the 3-mm diameter dielectric cavity mirrors are placed between the trap
electrodes and separated by only 12 mm, it is possible to produce in situ ion
Coulomb crystals containing more than 100.000 calcium ions of various isotopes
and with lengths of up to several millimeters along the cavity axis. We show
that the number of ions inside the cavity mode is in principle high enough to
achieve strong collective coupling between the ion Coulomb crystal and the
cavity field. The results thus represent an important step towards ion trap
based Cavity Quantum ElectroDynamics (CQED) experiments using cold ion Coulomb
crystals.


title: \'Etude de performance des syst\`emes de d\'ecouverte de ressources

abstract:
  The Desktop Grid offers solutions to overcome several challenges and to
answer increasingly needs of scientific computing. This technology consists
mainly in exploiting PC resources, geographically dispersed, to treat time
consuming applications and/or important storage capacity requiring
applications. However, as resources number increases, the need for scalability,
self-organisation, dynamic reconfiguration, decentralization and performance
becomes more and more essential. In this context, this paper evaluates the
scalability and performance of P2P tools for registering and discovering
services (Publish/Subscribe systems). Three protocols are used in this purpose:
Bonjour, Avahi and Pastry. We have studied the behaviour of these protocols
related to two criteria: the elapsed time for registrations services and the
needed time to discover new services.


title: Muon spin relaxation study of LaTiO3 and YTiO3

abstract:
  We report muon spin relaxation measurements on two Ti3+ containing
perovskites, LaTiO3 and YTiO3, which display long range magnetic order at low
temperature. For both materials, oscillations in the time-dependence of the
muon polarization are observed which are consistent with three-dimensional
magnetic order. From our data we identify two magnetically inequivalent muon
stopping sites. The muon spin relaxation results are compared with the magnetic
structures of these compounds previously derived from neutron diffraction and
muon spin relaxation studies on structurally similar compounds.


title:
Stability of excited states of a Bose-Einstein condensate in an
  anharmonic trap

abstract:
  We analyze the stability of non-ground nonlinear states of a Bose-Einstein
condensate in the mean field limit in effectively 1D (``cigar-shape'') traps
for various types of confining potentials. We find that nonlinear states
become, in general, more stable when switching from a harmonic potential to an
anharmonic one. We discuss the relation between this fact and the specifics of
the harmonic potential which has an equidistant spectrum.


title: Fabrication of Magneto-Optical Atom Traps on a Chip

abstract:
  Ultra-cold atoms can be manipulated using microfabricated devices known as
atom chips. These have significant potential for applications in sensing,
metrology and quantum information processing. To date, the chips are loaded by
transfer of atoms from an external, macroscopic magneto-optical trap (MOT) into
microscopic traps on the chip. This transfer involves a series of steps, which
complicate the experimental procedure and lead to atom losses. In this paper we
present a design for integrating a MOT into a silicon wafer by combining a
concave pyramidal mirror with a square wire loop. We describe how an array of
such traps has been fabricated and we present magnetic, thermal and optical
properties of the chip.


title: Magnetic Visions: Mapping Cosmic Magnetism with LOFAR and SKA

abstract:
  The origin of magnetic fields in the Universe is an open problem in
astrophysics and fundamental physics. "Cosmic Magnetism" has been accepted as
Key Science Project both for the Low Frequency Array (LOFAR, under
construction) and the planned Square Kilometre Array (SKA). At low frequencies
LOFAR and SKA will allow to map the structure of weak magnetic fields in the
outer regions and halos of galaxies, in galaxy clusters and in the Milky Way.
High-resolution polarization observations at high frequencies with the SKA will
trace magnetic fields in the disks and central regions of galaxies in
unprecedented detail. All-sky surveys of Faraday rotation measures (RM) towards
polarized background sources will be used to model the structure and strength
of the magnetic fields in the Milky Way, the interstellar medium of galaxies
and the intergalactic medium. The new method of "RM Synthesis", applied to
spectro-polarimetric data cubes, will separate RM components from different
distances and allow 3-D "Faraday tomography". Magnetic fields in distant
galaxies and clusters and in intergalactic filaments will be searched for by
deep imaging of weak synchrotron emission and of RM towards background sources.
This will open a new era in the observation of cosmic magnetic fields.


title:
Mixed-State Entanglement and Quantum Teleportation through Noisy
  Channels

abstract:
  The quantum teleportation with noisy EPR state is discussed. Using an optimal
decomposition technique, we compute the concurrence, entanglement of formation
and Groverian measure for various noisy EPR resources. It is shown analytically
that all entanglement measures reduce to zero when $\bar{F} \leq 2/3$, where
$\bar{F}$ is an average fidelity between Alice and Bob. This fact indicates
that the entanglement is a genuine physical resource for the teleportation
process. This fact gives valuable clues on the optimal decomposition for
higher-qubit mixed states. As an example, the optimal decompositions for the
three-qubit mixed states are discussed by adopting a teleportation with W-state


title: Antimatter Signatures of Gravitino Dark Matter Decay

abstract:
  The scenario of gravitino dark matter with broken R-parity naturally
reconciles three paradigms that, albeit very well motivated separately, seem to
be in mutual conflict: supersymmetric dark matter, thermal leptogenesis and
standard Big Bang nucleosynthesis. Interestingly enough, the products of the
gravitino decay could be observed, opening the possibility of indirect
detection of gravitino dark matter. In this paper, we compute the positron and
the antiproton fluxes from gravitino decay. We find that a gravitino with a
mass of 150 GeV and a lifetime of 10^26 s could simultaneously explain the
EGRET anomaly in the extragalactic diffuse gamma ray background and the HEAT
excess in the positron fraction. However, the predicted antiproton flux tends
to be too large, although the prediction suffers from large uncertainties and
might be compatible with present observations for certain choices of
propagation parameters.


title: The millimeter-wave continuum spectrum of Centaurus A and its nucleus

abstract:
  In a study of the radio emission mechanism of the FR-I AGN NGC 5128
(Centaurus A)}, we have determined the centimeter and millimeter continuum
spectrum of the whole Centaurus A radio source and measured the continuum
emission from the active galxy nucleus at various times between 1989 and 2005
at frequencies between 86 GHz (3.5 mm) and 345 GHz (0.85 mm). The integral Cen
A spectrum becomes steeper at frequencies above 5 GHz, where the spectral index
changes from -0.70 to -0.82. Millimeter emission from the core of Centaurus A
is variable, and correlates appreciably better with the 20-200 keV than the 2 -
10 keV X-ray variability. In its quiescent state, the core spectral index is
-0.3, which steepens when the core brightens. The variability appears to be
mostly associated with the inner nuclear jet components that have been detected
in VLBI measurements. The densest nuclear components are optically thick below
45-80 GHz.


title: Analysis of Neutrino Signals from SN1987A

abstract:
  We study SN1987A neutrino events through a likelihood analysis with
one-component (cooling) and two-component (accretion and cooling) emission
model. We show that there is a 3.2 sigma hint for the initial accretion phase.


title:
Quantum Hall effect in bilayer and multilayer graphenes with finite gate
  voltage

abstract:
  We discuss the quantum Hall effect of bilayer graphene with finite gate
voltage where the Fermi energy exceeds the interlayer hopping energy. We
calculated magnetic susceptibility, diagonal and off-diagonal conductivities in
finite-magnetic-field formalism, and observed crossover of integer quantum Hall
effect from two independent monolayer type system to strongly coupled bilayer
systems by changing the ratio of interlayer hopping energy and the gate
voltage. We also discuss the case of multilayer systems with Bernal stacking


title:
Study of the branching instability using a phase field model of inplane
  crack propagation

abstract:
  In this study, the phase field model of crack propagation is used to study
the dynamic branching instability in the case of inplane loading in two
dimensions. Simulation results are in good agreement with theoretical
predictions and experimental findings. Namely, the critical speed at which the
instability starts is about $0.48 c_s$. They also show that a full 3D approach
is needed to fully understand the branching instability. The finite interface
effects are found to be neglectable in the large system size limit even though
they are stronger than the one expected from a simple one dimensional
calculation.


title:
Heavy-flavor particle correlations in STAR via electron azimuthal
  correlations with D^0 mesons

abstract:
  We present first STAR measurement on two heavy-flavor particle correlations
in $\sqrt{s}=200$ GeV $p+p$ collisions at RHIC. Heavy-flavor (charm and bottom)
events are identified and separated on a statistical basis through their
characteristic decay topology using azimuthal correlation of non-photonic
electrons and reconstructed open charmed mesons. The results are compared to
simulations from PYTHIA and MC@NLO event generators. The gluon splitting
contribution is found to be small. The relative bottom contribution to the
non-photonic electrons is $\sim50%$ at $\pT > 5.5$ GeV/c.


title:
Density Functional Theory of Inhomogeneous Liquids: II. A Fundamental
  Measure Approach

abstract:
  Previously, it has been shown that the direct correlation function for a
Lennard-Jones fluid could be modeled by a sum of that for hard-spheres, a
mean-field tail and a simple linear correction in the core region constructed
so as to reproduce the (known) bulk equation of state of the fluid(Lutsko, JCP
127, 054701 (2007)). Here, this model is combined with ideas from Fundamental
Measure Theory to construct a density functional theory for the free energy.
The theory is shown to accurately describe a range of inhomogeneous conditions
including the liquid-vapor interface, the fluid in contact with a hard wall and
a fluid confined in a slit pore. The theory gives quantitatively accurate
predictions for the surface tension, including its dependence on the potential
cutoff. It also obeys two important exact conditions: that relating the direct
correlation function to the functional derivative of the free energy with
respect to density, and the wall theorem.


title: Linear conductance of an interacting carbon nanotube ring

abstract:
  Linear transport through a single-walled carbon nanotube ring (CNR), pierced
by a magnetic field and capacitively coupled to a gate voltage source, is
investigated starting from a model of interacting $p_z$-electrons. The
dc-conductance, calculated in the limit of weak tunneling between the ring and
the leads, displays a periodic resonance pattern determined by the interplay
between Coulomb interactions and quantum interference phenomena. Coulomb
blockade effects are manifested in the absence of resonances for any applied
flux in some gate voltage regions; the periodicity as a function of the applied
flux can be smaller or larger than a flux quantum depending on the nanotube
band mismatch.


title:
Linear sigma model at finite density in the 1/N expansion to
  next-to-leading order

abstract:
  We study relativistic Bose-Einstein condensation at finite density and
temperature using the linear sigma model in the one-particle-irreducible
1/N-expansion. We derive the effective potential to next-to-leading (NLO) order
and show that it can be renormalized in a temperature-independent manner. As a
particular application, we study the thermodynamics of the pion gas in the
chiral limit as well as with explicit symmetry breaking. At nonzero temperature
we solve the NLO gap equation and show that the results describe the
chiral-symmetry-restoring second-order phase transition in agreement with
general universality arguments. However, due to nontrivial regularization
issues, we are not able to extend the NLO analysis to nonzero chemical
potential.


title:
An Identity of the Symmetry for the Frobenius-Euler polynomials
  associated with the fermionic p-adic invariant q-integrals on Z_p

abstract:
  The main purpose of this paper is to prove an identity of symmetry for the
Frobenius-Euler polynomials.


title: The proton low-mass microquasar: high-energy emission

abstract:
  A population of unidentified gamma-ray sources is forming a structure
resembling a halo around the Galactic center. These sources are highly
variable, and hence they should be associated with compact objects.
Microquasars are objects undergoing accretion with relativistic jets; if such
an object has a low-mass, evolved, donor star, it might be found in the
Galactic halo. If these low-mass microquasars can generate detectable gamma-ray
emission, then they are natural candidates to account for the halo high-energy
sources. We aim to construct models for high-energy emission of low-mass
microquasars, which could produce a significant luminosity in the gamma-ray
domain. We consider that a significant fraction of the relativistic particles
in the jets of low-mass microquasars are protons and then we study the
production of high-energy emission through proton synchrotron radiation and
photopion production. Photopair production and leptonic processes are
considered as well. We compute a number of specific models with different
parameters to explore the possibilities of this scenario.} We find that
important luminosities, in the range of $10^{34}-10^{37}$ erg s$^{-1}$, can be
achieved by proton synchrotron radiation in the Gamma-Ray Large Area Space
Telescope (GLAST) energy range, and lower, but still significant luminosities
at higher energies for some models. We conclude that the "proton microquasar"
model offers a very interesting alternative to account for the halo gamma-ray
sources and presents a variety of predictions that might be tested in the near
future by instruments like GLAST, the High-Energy Stereoscopic System II (HESS
II), the Major Atmospheric Gamma-ray Imaging Cherenkov telescope II (MAGIC II),
and neutrino telescopes like IceCube.


title:
Characteristic Scales in Stellar Clustering: A Transition Near the Disk
  Scale Height

abstract:
  The autocorrelation function provides an objective test for the existence of
special scales in the hierarchical clustering of young stars. We apply this
measure to single-star photometry for the brightest main sequence stars in the
Small Magellanic Cloud (SMC), the Large Magellanic Cloud (LMC), M33, and M31,
using data from the Magellanic Clouds Photometric Survey and the Massey Local
Group Survey. Our primary result is the identification of a transition to a
higher correlation dimension (weaker clustering) at one kpc in the LMC and M31,
and at 300 pc in M33. We suggest that this transition marks the large-scale
regime where disk geometry and dynamics set the scale for structure. On smaller
scales, the correlation functions for each galaxy are scale-free over at least
two orders of magnitude, with a projected correlation dimension varying from
1.0 for M31 to 1.8 for the SMC. This variation is probably caused by a
combination of differences in stellar ages and masses, physical environment,
and extinction.


title:
The Baryon Anomaly: Evidence for Color Transparency and Direct Hadron
  Production at RHIC

abstract:
  We show that the QCD color transparency of higher-twist contributions to
inclusive hadroproduction cross sections, where baryons are produced directly
in a short-distance subprocess, can explain several remarkable features of
high-$p_T$ baryon production in heavy ion collisions which have recently been
observed at RHIC: (a) the anomalous increase of the proton-to-pion ratio with
centrality (b): the increased power-law fall-off at fixed $x_T=2p_T/ \sqrt s$
of the charged particle production cross section in high centrality nuclear
collisions, and (c): the anomalous decrease of the number of same-side hadrons
produced in association with a proton trigger as the centrality increases. We
show that correlations between opposite-side hyperons and kaons can provide a
clear signature of higher-twist contributions. These phenomena emphasize the
importance of understanding hadronization at the amplitude level in QCD
illustrate how heavy ion collisions can provide sensitive tools for
interpreting and testing fundamental properties of QCD.


title:
HD 75289Ab revisited - Searching for starlight reflected from a hot
  Jupiter

abstract:
  Aims. We attempt to detect starlight reflected from a hot Jupiter, orbiting
the main-sequence star HD 75289Ab. We report a revised analysis of observations
of this planetary system presented previously by another research group.
  Methods. We analyse high-precision, high-resolution spectra, collected over
four nights using UVES at the VLT/UT2, by way of data synthesis. We try to
interpret our data using different atmospheric models for hot Jupiters.
  Results. We do not find any evidence for reflected light, and, therefore,
establish revised upper limits to the planet-to-star flux ratio at the 99.9%
significance level. At high orbital inclinations, where the best sensitivity is
attained, we can limit the relative reflected radiation to be less than e = 6.7
x 10-5 assuming a grey albedo, and e = 8.3 x 10-5 assuming an Class IV
function, respectively. This implies a geometric albedo smaller than p = 0.46
and p = 0.57, for the grey albedo and the Class IV albedo shape, respectively,
assuming a planetary radius of 1.2 RJup.


title:
Electron stripping and re-attachment at atomic centers using attosecond
  half-cycle pulses

abstract:
  We investigate the response of two three-body Coulomb systems when driven by
attosecond half-cycle pulses: The hydrogen molecular ion and the helium atom.
Using very short half-cycle pulses (HCPs) which effectively deliver ``kicks''
to the electrons, we first study how a carefully chosen sequence of HCPs can be
used to control to which of one of the two fixed atomic centers the electron
gets re-attached. Moving from one electron in two atomic centers to two
electrons in one atomic center we then study the double ionization from the
ground state of He by a sequence of attosecond time-scale HCPs, with each
electron receiving effectively a ``kick'' from each HCP. We investigate how the
net electric field of the sequence of HCPs affects the total and differential
ionization probabilities.


title: On the Kummer construction

abstract:
  We discuss a generalization of Kummer construction which, on the base of an
integral representation of a finite group and local resolution of its quotient,
produces a higher dimensional variety with trivial canonical class. As an
application we compute cohomology of some generalized Kummer varieties.


title:
"Ceterum censeo Fabricam Super Saporis esse faciendam" ("Moreover I
  advise a Super-Flavour Factory has to be built")

abstract:
  The discovery of $B_d - \bar B_d$ oscillations twenty years ago by the ARGUS
collaboration marked a watershed event. It persuaded a significant part of the
HEP community that the large time dependent \cp asymmetries predicted for some
$B_d$ decays might be within the reach of specially designed experiments. This
opened the successful era of the $B$ factories, which has a great future still
ahead. After sketching the status of heavy flavour physics I describe why we
need to continue a comprehensive heavy flavour program not only for its
intrinsic reasons -- it is even mandated as an integral part of the LHC
program. Notwithstanding the great success anticipated for the LHCb experiment
I explain why a Super-Flavour Factory is an essential complement to the LHC
program.


title: Gabor (Super)Frames with Hermite Functions

abstract:
  We investigate vector-valued Gabor frames (sometimes called Gabor
superframes) based on Hermite functions $H_n$. Let $h= (H_0, H_1, ..., H_n)$ be
the vector of the first $n+1$ Hermite functions. We give a complete
characterization of all lattices $\Lambda \subseteq \bR ^2$ such that the Gabor
system
  $\{e^{2\pi i \lambda_2 t} \boh (t-\lambda_1): \lambda = (\lambda_1,
\lambda_2) \in \Lambda \}$ is a frame for $L^2 (\bR, \bC ^{n+1})$. As a
corollary we obtain sufficient conditions for a single Hermite function to
generate a Gabor frame and a new estimate for the lower frame bound.
  The main tools are growth estimates for the Weierstrass $\sigma $-function, a
new type of interpolation problem for entire functions on the Bargmann-Fock
space, and structural results about vector-valued Gabor frames.


title: The dynamics of a charged particle

abstract:
  Using physical arguments, I derive the physically correct equations of motion
for a classical charged particle from the Lorentz-Abraham-Dirac equations (LAD)
which are well known to be physically incorrect. Since a charged particle can
classically not be a point particle because of the Coulomb field divergence, my
derivation accounts for that by imposing a basic condition on the external
force. That condition ensures that the particle's finite size charge
distribution looks like a point charge to the external force. Finite radius
charge distributions are known not to lead to differential equations of motion.
The present work is in agreemnent with the results by Spohn and by others. An
example, uniform acceleration, demonstrates what the above basic condition
entails. For clarity of the argument, I discuss the non-relativistic case
before the relativistic one.


title: Spaces H^1 and BMO on ax+b-groups

abstract:
  Let S be the semidirect product of R^d and R^+ endowed with the Riemannian
symmetric space metric and the right Haar measure: this is a Lie group of
exponential growth. In this paper we define an Hardy space H^1 and a BMO space
in this context. We prove that the functions in BMO satisfy the John-Nirenberg
inequality and that BMO may be identified with the dual space of H^1. We then
prove that singular integral operators which satisfy a suitable integral
Hormander condition are bounded from H^1 to L^1 and from L^{\infty} to BMO. We
also study the real interpolation between H^1, BMO and the L^p spaces.


title: The Kodaira dimension of the moduli space of Prym varieties

abstract:
  We study the enumerative geometry of the moduli space R_g of Prym varieties
of dimension g-1 (also known as the space of admissible double covers). Our
main result is that the compactification of R_g is of general type as soon as
g>13. We achieve this by computing the class of two types of cycles on R_g: one
defined in terms of Koszul cohomology of Prym curves, the other defined in
terms of Raynaud theta divisors associated to certain vector bundles on curves.
We formulate a Prym-Green conjecture on syzygies of Prym-canonical curves. In
the appendix we show that even though R_g has non-canonical singularities,
pluricanonical forms on R_g extend to any desingularization.


title: On Intersection Representations and Clique Partitions of Graphs

abstract:
  A multifamily set representation of a finite simple graph $G$ is a
multifamily $\mathcal{F}$ of sets (not necessarily distinct) for which each set
represents a vertex in $G$ and two sets in $\mathcal{F}$ intersects if and only
if the two corresponding vertices are adjacent. For a graph $G$, an
\textit{edge clique covering} (\textit{edge clique partition}, respectively)
$\mathcal{Q}$ is a set of cliques for which every edge is contained in
\textit{at least} (\textit{exactly}, respectively) one member of $\mathcal{Q}$.
In 1966, P. Erd\"{o}s, A. Goodman, and L. P\'{o}sa (The representation of a
graph by set intersections, \textit{Canadian J. Math.}, \textbf{18},
pp.106-112) pointed out that for a graph there is a one-to-one correspondence
between multifamily set representations $\mathcal{F}$ and clique coverings
$\mathcal{Q}$ for the edge set. Furthermore, for a graph one may similarly have
a one-to-one correspondence between particular multifamily set representations
with intersection size at most one and clique partitions of the edge set. In
1990, S. McGuinness and R. Rees (On the number of distinct minimal clique
partitions and clique covers of a line graph, \textit{Discrete Math.}
\textbf{83} (1990) 49-62.) calculated the number of distinct clique partitions
for line graphs. In this paper, we study the set representations of graphs
corresponding to edge clique partitions in various senses, namely family
representations of \textit{distinct} sets, antichain representations of
\textit{mutually exclusive} sets, and uniform representations of sets with the
\textit{same cardinality}. Among others, we completely determine the number of
distinct family representations and the number of antichain representations of
line graphs.


title: Fleming's bound for the decay of mixed states

abstract:
  Fleming's inequality is generalized to the decay function of mixed states. We
show that for any symmetric hamiltonian $h$ and for any density operator $\rho$
on a finite dimensional Hilbert space with the orthogonal projection $\Pi$ onto
the range of $\rho$ there holds the estimate $\Tr(\Pi \rme^{-\rmi ht}\rho
\rme^{\rmi ht}) \geq\cos^{2}((\Delta h)_{\rho}t) $ for all real $t$ with
$(\Delta h)_{\rho}| t| \leq\pi/2.$ We show that equality either holds for all
$t\in\mathbb{R}$ or it does not hold for a single $t$ with $0<(\Delta
h)_{\rho}| t| \leq\pi/2.$ All the density operators saturating the bound for
all $t\in\mathbb{R},$ i.e. the mixed intelligent states, are determined.


title: The phase structure of Einstein-Cartan theory

abstract:
  In the Einstein-Cartan theory of torsion-free gravity coupling to massless
fermions, the four-fermion interaction is induced and its strength is a
function of the gravitational and gauge couplings, as well as the Immirzi
parameter. We study the dynamics of the four-fermion interaction to determine
whether effective bilinear terms of massive fermion fields are generated.
Calculating one-particle-irreducible two-point functions of fermion fields, we
identify three different phases and two critical points for phase transitions
characterized by the strength of four-fermion interaction: (1) chiral symmetric
phase for massive fermions in strong coupling regime; (2) chiral symmetric
broken phase for massive fermions in intermediate coupling regime; (3) chiral
symmetric phase for massless fermions in weak coupling regime. We discuss the
scaling-invariant region for an effective theory of massive fermions coupled to
torsion-free gravity in the {\it low-energy limit}.


title: Electric dipole moments from flavoured CP violation in SUSY

abstract:
  The so-called supersymmetric flavour and CP problems are deeply related to
the origin of flavour and hence to the origin of the SM Yukawa couplings
themselves. We show that realistic SU(3) flavour symmetries with spontaneous CP
violation reproducing correctly the SM Yukawa matrices can simultaneously solve
both problems without ad hoc modifications of the SUSY model. We analyze the
leptonic electric dipole moments and lepton flavour violation processes in
these models. We show that the electron EDM and the decay mu -> e gamma are
naturally within reach of the proposed experiments if the sfermion masses are
measurable at the LHC.


title: An Optimal Transport View On Schroedinger's Equation

abstract:
  We show that the Schroedinger equation is a lift of Newton's law of motion on
the space of probability measures, where derivatives are taken w.r.t. the
Wasserstein Riemannian metric. Here the potential is the sum of the total
classical potential energy of the extended system and its Fisher information.
The precise relation is established via a well known ('Madelung') transform
which is shown to be a symplectic submersion of the standard symplectic
structure of complex valued functions into the canonical symplectic space over
the Wasserstein space. All computations are conducted in the framework of
Otto's formal Riemannian calculus for optimal transportation of probability
measures


title: Fast Density Codes for Image Data

abstract:
  Recently, a new method for encoding data sets in the form of "Density Codes"
was proposed in the literature (Courrieu, 2006). This method allows to compare
sets of points belonging to every multidimensional space, and to build shape
spaces invariant to a wide variety of affine and non-affine transformations.
However, this general method does not take advantage of the special properties
of image data, resulting in a quite slow encoding process that makes this tool
practically unusable for processing large image databases with conventional
computers. This paper proposes a very simple variant of the density code method
that directly works on the image function, which is thousands times faster than
the original Parzen window based method, without loss of its useful properties.


title: A Synchronized Variation of the 6.7 GHz Methanol Maser in Cepheus A

abstract:
  We present the results of daily monitoring of 6.7 GHz methanol maser in
Cepheus A (Cep A) using Yamaguchi 32-m radio telescope as well as the results
of imaging observations conducted with the JVN (Japanese VLBI Network). We
indentified five spectral features, which are grouped into red-shifted (-1.9
and -2.7 km/s) and blue-shifted (-3.8, -4.2, and -4.9 km/s), and we detected
rapid variabilities of these maser features within a monitoring period of 81
days. The red-shifted features decreased in flux density to 50% of its initial
value, while the flux density of the blue-shifted features rapidly increased
within a 30 days. The time variation of these maser features showed two
remarkable properties; synchronization and anti-correlation between the
red-shifted and the blue-shifted. The spatial distribution of the maser spots
obtained by the JVN observation showed an arclike structure with a scale of
$\sim$1400 AU, and separations of the five maser features were found to be
larger than 100 AU. The absolute position of the methanol maser was also
obtained based on the phase-referencing observations, and the arclike structure
were found to be associated with the Cep A-HW2 object, with the elongation of
the arclike structure nearly perpendicularly to the radio continuum jet from
the Cep A-HW2 object. These properties of the masers, namely, the
synchronization of flux variation, and the spectral and spatial isolation of
features, suggest that the collisional excitation by shock wave from a common
exciting source is unlikely. Instead, the synchronized time variation of the
masers can be explained if all the maser features are excited by infrared
radiation from dust which is heated by a common exciting source with a rapid
variability.


title: K_1-injectivity for properly infinite C*-algebras

abstract:
  One of the main tools to classify \cst-algebras is the study of its
projections and its unitaries. It was proved by Cuntz in \cite{Cu81} that if
$A$ is a \textit{purely infinite} simple \cst-algebra, then the kernel of the
natural map for the unitary group $\U(A)$ to the $K$-theory group $K_1(A)$ is
reduced to the connected component $\U^0(A)$, i.e. $A$ is
\textit{$K_1$-injective} (see \S 3). We study in this note a finitely generated
\cst-algebra, the $K_1$-injectivity of which would imply the $K_1$-injectivity
of all unital \textit{properly infinite} \cst-algebras.


title:
Diagnostics of active and eruptive prominences through hydrogen and
  helium lines modelling

abstract:
  In this study we show how hydrogen and helium lines modelling can be used to
make a diagnostic of active and eruptive prominences. One motivation for this
work is to identify the physical conditions during prominence activation and
eruption. Hydrogen and helium lines are key in probing different parts of the
prominence structure and inferring the plasma parameters. However, the
interpretation of observations, being either spectroscopic or obtained with
imaging, is not straightforward. Their resonance lines are optically thick, and
the prominence plasma is out of local thermodynamic equilibrium due to the
strong incident radiation coming from the solar disk. In view of the shift of
the incident radiation occurring when the prominence plasma flows radially, it
is essential to take into account velocity fields in the prominence diagnostic.
Therefore we need to investigate the effects of the radial motion of the
prominence plasma on hydrogen and helium lines. The method that we use is the
resolution of the radiative transfer problem in the hydrogen and helium lines
out of local thermodynamic equilibrium. We study the variation of the computed
integrated intensities in H and He lines with the radial velocity of the
prominence plasma. We can confirm that there exist suitable lines which can be
used to make a diagnostic of the plasma in active and eruptive prominences in
the presence of velocity fields.


title: On Base Partitions And Cover Partitions Of Skew Characters

abstract:
  In this paper we give an easy combinatorial description for the base
partition B of a skew character [A], which is the intersection of all
partitions alpha whose corresponding character [alpha] appears in [A].
  This we use to construct the cover partition C for the ordinary outer product
as well as for the Schubert product of two characters and for some skew
characters, here the cover partition is the union of all partitions whose
corresponding character appears in the product or in the skew character.
  This gives us also the Durfee size for arbitrary Schubert products.


title:
Quantitative study of desctructive quantum interference effect on the
  linklin CPT

abstract:
  We investigate experimentally and theoretically the Coherent Population
Trapping (CPT) effect occurring in 87Rb D1 line due to the interaction with
linearly polarized laser light (lin||lin CPT). In this configuration the
coherence has a quadrupol like nature and is strongly influenced by the
hyperfine structure of the excited state; consequently the quantum interference
between CPT states is an essential feature of this interaction scheme. We study
the lin||lin CPT signal as a function of the laser optical detuning. The
comparison between experimental and theoretical results allows us to quantify
the contribution from different CPT states to the total signal. Based on these
results we investigate the signal depending on both the pressure broadening of
the optical transition and the laser linewidth, and we find in which conditions
the laser linewidth does not degrade the amplitude of the lin||lin CPT.


title: Comment - Practical Data Protection

abstract:
  Recently, Rawat and Saxena proposed a method for protecting data using
``Disclaimer Statement''. This paper presents some issues and several flaws in
their proposal.


title: Homotopy shadowing

abstract:
  Michael Shub proved in 1969 that the topological conjugacy class of an
expanding endomorphism on a compact manifold is determined by its homotopy
type. In this article we generalize this result in two directions. In one
direction we consider certain expanding maps on metric spaces. In a second
direction we consider maps which are hyperbolic with respect to product cone
fields on a product manifold. A key step in the proof is to establish a
shadowing theorem for pseudo--orbits with some additional homotopy information.


title:
Open Clusters as Galactic Disk Tracers: I. Project Motivation, Cluster
  Membership and Bulk Three-Dimensional Kinematics

abstract:
  We have begun a survey of the chemical and dynamical properties of the Milky
Way disk as traced by open star clusters. In this first contribution, the
general goals of our survey are outlined and the strengths and limitations of
using star clusters as a Galactic disk tracer sample are discussed. We also
present medium resolution (R ~ 15,0000) spectroscopy of open cluster stars
obtained with the Hydra multi-object spectrographs on the Cerro Tololo
Inter-American Observatory 4-m and WIYN 3.5-m telescopes. Here we use these
data to determine the radial velocities of 3436 stars in the fields of open
clusters within about 3 kpc, with specific attention to stars having proper
motions in the Tycho-2 catalog. Additional radial velocity members (without
Tycho-2 proper motions) that can be used for future studies of these clusters
were also identified. The radial velocities, proper motions, and the angular
distance of the stars from cluster center are used to derive cluster membership
probabilities for stars in each cluster field using a non-parametric approach,
and the cluster members so-identified are used, in turn, to derive the reliable
bulk three-dimensional motion for 66 of 71 targeted open clusters. The high
probability cluster members that we identify help to clarify the
color-magnitude sequences for many of the clusters, and are prime targets for
future echelle resolution spectroscopy as well as astrometric study with the
Space Interferometry Mission (SIM Planetquest).


title: Andreev reflection in bosonic condensates

abstract:
  We study the bosonic analog of Andreev reflection at a normal-superfluid
interface where the superfluid is a boson condensate. We model the normal
region as a zone where nonlinear effects can be neglected. Against the
background of a decaying condensate, we identify a novel contribution to the
current of reflected atoms. The group velocity of this Andreev reflected
component differs from that of the normally reflected one. For a
three-dimensional planar or two-dimensional linear interface Andreev reflection
is neither specular nor conjugate.


title: Analogue of the identity Log Det = Trace Log for resultants

abstract:
  Resultant $R_{r_1, ..., r_n}$ defines a condition of solvability for a system
of $n$ homogeneous polynomials of degrees $r_1, ..., r_n$ in $n$ variables,
just in the same way as determinant does for a system of linear equations.
Because of this, resultants are important special functions of upcoming
non-linear physics and begin to play a role in various topics related to string
theory. Unfortunately, there is a lack of convenient formulas for resultants
when the number of variables is large. To cure this problem, we generalize the
well-known identity Log Det = Trace Log from determinants to resultants. The
generalized identity allows to obtain explicit polynomial formulas for
multidimensional resultants: for any number of variables, resultant is given by
a Schur polynomial. We also give several integral representations for
resultants, as well as a sum-over-paths representation.


title:
Searches for Physics beyond the Standard Model with Kaons at NA48 and
  NA62 at CERN

abstract:
  The ratio $R_K = \Gamma(K^{\pm}\to e^{\pm}\nu(\gamma)) /
\Gamma(K^{\pm}\to\mu^{\pm}\nu(\gamma))$ provides a powerful probe of the
structure of weak interactions. It is calculated with very high precision
within the Standard Model, but corrections due to the presence of New Physics
could be in a few percent range. Development of NA48/NA62 method based on test
data samples of 2003-04, and the status of analysis based on a dedicated 2007
run are discussed. In addition, a proposal to measure the ultra rare decay
$K^+\to\pi^+\nu\bar\nu$ at the CERN SPS is presented.


title:
Characterizing Synchronization in Time Series using Information Measures
  Extracted from Symbolic Representations

abstract:
  We present a methodology to characterize synchronization in time series based
on symbolic representations. A symbol is linked to a sequence of numbers
through the rank-order of its values. A representation of a time series results
after mapping all sequences into symbols. We propose a transcription scheme
between symbolic representations to study the dynamics of coupled systems. This
scheme allows us to use elements of group theory and to derive information
measures to assess the degree of synchronization. We apply our method to a
prototype non-linear system which displays a rich coupled dynamics.


title: Bottomonium dipion transitions

abstract:
  Dipion transitions of the subthreshold bottomonium levels $\Upsilon (nS)\to
\Upsilon (n'S) \pi\pi$ with $n>n', n=2,3,4, n'=1,2$ are studied in the
framework of the chiral decay Lagrangian, derived earlier. The channels $B\bar
B, B\bar B^*+ c.c, B^* \bar B^*$ are considered in the intermediate state and
realistic wave functions of $\Upsilon (n S),B$ and $B^*$ are used in the
overlap matrix elements. Imposing the Adler zero requirement on the transition
matrix element, one obtains 2d and 1d dipion spectra in reasonable agreement
with experiment.


title:
Eigenvalue Estimates for submanifolds of $N \times \mathbb{R}$ with
  locally bounded mean curvature

abstract:
  We give lower bounds for the fundamental tone of open sets in submanifolds
with locally bounded mean curvature in $ N \times \mathbb{R}$, where $N$ is an
$n$-dimensional complete Riemannian manifold with radial sectional curvature
$K_{N} \leq \kappa$. When the immersion is minimal our estimates are sharp. We
also show that cylindrically bounded minimal surfaces has positive fundamental
tone.


title:
Remarks on the Dynamic of the Ruelle Operator and invariant
  differentials

abstract:
  Let $ R $ be a rational map. We are interesting in the dynamic of the Ruelle
operator on suitable spaces of differentials. In particular the necessary and
sufficient conditions (in terms of convergence of sequences of measures) of
existence of invariant conformal structures on $ J(R) $ are obtained.


title: Modeling a quantum Hall system via elliptic equations

abstract:
  Quantum Hall systems are a suitable theme for a case study in the general
area of nanotechnology. In particular, it is a good framework in which to
search for universal principles relevant to nanosystem modeling, and
nanosystem-specific signal processing. Recently, we have been able to construct
a PDE model of a quantum Hall system, which consists of the Schr\"odinger
equation supplemented with a special type nonlinear feedback loop. This result
stems from a novel theoretical approach, which in particular brings to the fore
the notion of quantum information. In this article we undertake to modify the
original model by substituting the dynamics based on the Dirac operator. This
leads to a model that consists of a system of three nonlinearly coupled first
order elliptic equations in the plane.


title:
Beowulf Analysis Symbolic INterface BASIN: Interactive Parallel Data
  Analysis for Everyone

abstract:
  The advent of affordable parallel computers such as Beowulf PC clusters and,
more recently, of multi-core PCs has been highly beneficial for a large number
of scientists and smaller institutions that might not otherwise have access to
substantial computing facilities. However, there has not been an analogous
progress in the development and dissemination of parallel software: scientists
need the expertise to develop parallel codes and have to invest a significant
amount of time in the development of tools even for the most common data
analysis tasks. We describe the Beowulf Analysis Symbolic INterface (BASIN) a
multi-user parallel data analysis and visualization framework. BASIN is aimed
at providing scientists with a suite of parallel libraries for astrophysical
data analysis along with general tools for data distribution and parallel
operations on distributed data to allow them to easily develop new parallel
libraries for their specific tasks.


title: Heron isosceles with integral external radii

abstract:
  Each triangle has three exterior or external circles tangential to the three
straight lines containing the three sides of the triangle.Among the
preliminaries in this paper, is deriving formulas for the radii of the three
exterior circles in terms of the triangle's sidelengths. After that we focus on
Heron triangles. Heron triangles are known in the literature as triangles with
integer sidelengths and integral area.Pythagorean triangles are examples of
Heron triangles. In the first part of the paper, we parametrically describe all
Heron isosceles triangles. In the second part, we parametrically(in terms of
three independent parameters) describe the subfamily which consists of all
Heron isosceles triangles which also have integral external radii. We provide
numerical examples and tables.


title:
Generation of atom-atom correlations inside and outside the mutual light
  cone

abstract:
  We analyze whether a pair of neutral two level atoms can become entangled in
a finite time while they remain causally disconnected. The interaction with the
e. m. field is treated perturbatively in the electric dipole approximation. We
start from an initial vacuum state and obtain the final atomic correlations for
the cases where n = 0, 1, or 2 photons are produced in a time t, and also when
the final field state is unknown. Our results show that correlations are
sizable inside and outside the mutual light cone for n= 1 and 2, and also that
quantum correlations become classical by tracing over the field state. For n =
0 we obtain entanglement generation by photon propagation between the atoms,
the correlations come from the indistinguishability of the source for n = 1,
and may give rise to entanglement swapping for n = 2.


title:
Theoretical rate of dissociative recombination of HCO$^{+}$ and
  DCO$^{+}$ ions

abstract:
  The article presents an improved theoretical description of dissociative
recombination of HCO$^+$ and DCO$^+$ ions with a low energy electron. In the
previous theoretical study (Phys. Rev. A {\bf 74}, 032707) on HCO$^+$, the
vibrational motion along the CO coordinate was neglected. Here, all vibrational
degrees of freedom, including the CO stretch coordinate, are taken into
account. The theoretical dissociative recombination cross-section obtained is
similar to the previous theoretical result at low collision energies ($<$0.1
eV) but somewhat larger at higher ($>$0.1 eV) energies. Therefore, the present
study suggests that motion along the CO coordinate does not play a significant
role in the process at low collision energies. The theoretical cross-section is
still approximately 2-3 times lower than the data from a recent merged-beam
experiment.


title: A Model Study of Discrete Scale Invariance and Long-Range Interactions

abstract:
  We investigate the modification of discrete scale invariance in the bound
state spectrum by long-range interactions. This problem is relevant for
effective field theory descriptions of nuclear cluster states and
manifestations of the Efimov effect in nuclei. As a model system, we choose a
one dimensional inverse square potential supplemented with a long-range Coulomb
interaction. We study the renormalization and bound-state spectrum of the
system as a function of the Coulomb interaction strength. Our results indicate,
that the counterterm required to renormalize the inverse square potential alone
is sufficient to renormalize the full problem. However, the breaking of the
discrete scale invariance through the Coulomb interaction leads to a modified
bound state spectrum. The shallow bound states are strongly influenced by the
Coulomb interaction while the deep bound states are dominated by the inverse
square potential.


title: The End Curve Theorem for normal complex surface singularities

abstract:
  We prove the "End Curve Theorem," which states that a normal surface
singularity $(X,o)$ with rational homology sphere link $\Sigma$ is a
splice-quotient singularity if and only if it has an end curve function for
each leaf of a good resolution tree.
  An "end-curve function" is an analytic function $(X,o)\to (\C,0)$ whose zero
set intersects $\Sigma$ in the knot given by a meridian curve of the
exceptional curve corresponding to the given leaf.
  A "splice-quotient singularity" $(X,o)$ is described by giving an explicit
set of equations describing its universal abelian cover as a complete
intersection in $\C^t$, where $t$ is the number of leaves in the resolution
graph for $(X,o)$, together with an explicit description of the covering
transformation group.
  Among the immediate consequences of the End Curve Theorem are the previously
known results: $(X,o)$ is a splice quotient if it is weighted homogeneous
(Neumann 1981), or rational or minimally elliptic (Okuma 2005).


title:
Collapse in coupled Nonlinear Schrodinger equations: Sufficient
  conditions and Applications

abstract:
  In this paper we study blow-up phenomena in general coupled nonlinear
Schrodinger equations with different dispersion coefficients. We find
sufficient conditions for blow-up and for the existence of global solutions. We
discuss several applications of our results to heteronuclear multispecies
Bose-Einstein condensates and to degenerate boson-fermion mixtures.


title: Hot electron effects and non-linear transport in hole doped manganites

abstract:
  We show that strong non--linear electron transport in the ferromagnetic
insulating (FMI) state of manganites, responsible for phenomena such as
colossal electroresistance and current induced resistance switching, can occur
due to a hot electron effect. In the FMI state, which we show is an insulator
with a Coulomb gap, the temperature of the electron and lattice baths can
decouple at high input power levels, leading to heating of the electron bath.
Parameters of the hot electron effect model were independently determined via
time dependence experiments and are in good agreement with the experimental
values.


title: Magnetic fields in star formation: from galaxies to stars

abstract:
  Magnetic fields are important at every scale in the star formation process:
from the dynamics of the ISM in galaxies, to the collapse of turbulent
molecular clouds to form stars and in the fragmentation of individual star
forming cores. The recent development of a robust algorithm for MHD in the
Smoothed Particle Hydrodynamics method has enabled us to perform simulations of
star formation including magnetic fields at each of these scales. This paper
focusses on three questions in particular: What is the effect of magnetic
fields on fragmentation in star forming cores? How do magnetic fields affect
the collapse of turbulent molecular clouds to form stars? and: What effect do
magnetic fields have on the dynamics of the interstellar medium?


title:
Decomposition of Triebel-Lizorkin and Besov spaces in the context of
  Laguerre expansions

abstract:
  A pair of dual frames with almost exponentially localized elements (needlets)
are constructed on $\RR_+^d$ based on Laguerre functions. It is shown that the
Triebel-Lizorkin and Besov spaces induced by Laguerre expansions can be
characterized in terms of respective sequence spaces that involve the needlet
coefficients.


title:
Structure analysis of interstellar clouds: I. Improving the
  Delta-variance method

abstract:
  The Delta-variance analysis, has proven to be an efficient and accurate
method of characterising the power spectrum of interstellar turbulence. The
implementation presently in use, however, has several shortcomings.
  We propose and test an improved Delta-variance algorithm for two-dimensional
data sets, which is applicable to maps with variable error bars and which can
be quickly computed in Fourier space. We calibrate the spatial resolution of
the Delta-variance spectra.
  The new Delta-variance algorithm is based on an appropriate filtering of the
data in Fourier space. It allows us to distinguish the influence of variable
noise from the actual small-scale structure in the maps and it helps for
dealing with the boundary problem in non-periodic and/or irregularly bounded
maps. We try several wavelets and test their spatial sensitivity using
artificial maps with well known structure sizes.
  It turns out that different wavelets show different strengths with respect to
detecting characteristic structures and spectral indices, i.e. different
aspects of map structures. As a reasonable universal compromise for the optimum
Delta-variance filter, we propose the Mexican-hat filter with a ratio between
the diameters of the core and the annulus of 1.5.


title: Model Spectra of Hot Subdwarfs for the Gaia Mission

abstract:
  The Gaia mission will provide an unprecedented 3D view of our galaxy, it will
obtain astrometric, photometric and spectrographic data for roughly one billion
stars. We are particularly interested in the treasure chest of new data Gaia
will produce for hot subdwarf B (sdB) stars. In order for Gaia to classify sdBs
and estimate parameters model spectra covering a wide parameter range are
needed. Here we describe the construction of an extensive grid, which will be
used for this purpose.


title: Virial series for fluids of hard hyperspheres in odd dimensions

abstract:
  A recently derived method [R. D. Rohrmann and A. Santos, Phys. Rev. E. {\bf
76}, 051202 (2007)] to obtain the exact solution of the Percus-Yevick equation
for a fluid of hard spheres in (odd) $d$ dimensions is used to investigate the
convergence properties of the resulting virial series. This is done both for
the virial and compressibility routes, in which the virial coefficients $B_j$
are expressed in terms of the solution of a set of $(d-1)/2$ coupled algebraic
equations which become nonlinear for $d \geq 5$. Results have been derived up
to $d=13$. A confirmation of the alternating character of the series for $d\geq
5$, due to the existence of a branch point on the negative real axis, is found
and the radius of convergence is explicitly determined for each dimension. The
resulting scaled density per dimension $2 \eta^{1/d}$, where $\eta$ is the
packing fraction, is wholly consistent with the limiting value of 1 for $d \to
\infty$. Finally, the values for $B_j$ predicted by the virial and
compressibility routes in the Percus-Yevick approximation are compared with the
known exact values [N. Clisby and B. M. McCoy, J. Stat. Phys. {\bf 122}, 15
(2006)]


title: A weak lensing analysis of the Abell 2163 cluster

abstract:
  Weak lensing analysis is applied to a deep, one square degree r-band
CFHT-Megacam image of the Abell 2163 field. The observed shear is fitted with
Single Isothermal Sphere and Navarro-Frenk-White models to obtain the velocity
dispersion and the mass, respectively; in addition, aperture densitometry is
also used to provide a mass estimate at different distances from the cluster
centre. The luminosity function is finally derived, allowing to estimate the
mass/luminosity ratio. Previous weak lensing analyses performed at smaller
scales produced somewhat contradictory results. The mass and velocity
dispersion obtained in the present paper are compared and found to be in good
agreement with the values computed by other authors from X-ray and
spectroscopic data.