title:
Test configurations, large deviations and geodesic rays on toric
  varieties

abstract:
  This article contains a detailed study, in the toric case, of the test
configuration geodesic rays defined by Phong-Sturm. We show that the `Bergman
approximations' of Phong-Sturm converge in C^1 to the geodesic ray and that the
geodesic ray itself is C^{1,1} and no better. The \kahler metrics associated to
the geodesic ray of potentials are discontinuous across certain hypersurfaces
and are degenerate on certain open sets. A novelty in the analysis is the
connection between Bergman metrics, Bergman kernels and the theory of large
deviations.


title:
Elliptic constructions of hyperkaehler metrics II: The quantum mechanics
  of a Swann bundle

abstract:
  The generalized Legendre transform method of Lindstrom and Rocek yields
hyperkaehler metrics from holomorphic functions. Its main ingredients are
sections of ${\cal O}(2j)$ bundles over the twistor space satisfying a reality
condition with respect to antipodal conjugation on the hyperkaehler sphere of
complex structures. Formally, the structure of the real ${\cal O}(2j)$ sections
is identical to that of quantum-mechanical wave functions describing the states
of a particle with spin $j$ in the spin coherent representation. We analyze
these sections and their SO(3) invariants and illustrate our findings with two
Swann bundle constructions.


title:
Elliptic constructions of hyperkaehler metrics III: Gravitons and
  Poncelet polygons

abstract:
  In the generalized Legendre approach, the equation describing an
asymptotically locally Euclidean space of type $D_n$ is found to admit an
algebraic formulation in terms of the group law on a Weierstrass cubic. This
curve has the structure of a Cayley cubic for a pencil generated by two
transversal plane conics, that is, it takes the form $Y^2 = \det ({\cal
A}+X{\cal B})$, where ${\cal A}$ and ${\cal B}$ are the defining $3 \times 3$
matrices of the conics. In this light, the equation can be interpreted as the
closure condition for an elliptic billiard trajectory tangent to the conic
${\cal B}$ and bouncing into various conics of the pencil determined by the
positions of the monopoles. Poncelet's porism guarantees then that once a
trajectory closes to a star polygon, any trajectory will close, regardless of
the starting point and after the same number of steps.


title: Testing power-law cosmology with galaxy clusters

abstract:
  Power-law cosmologies, in which the cosmological scale factor evolves as a
power law in the age, $a \propto t^{\alpha}$ with $\alpha \ga 1$, regardless of
the matter content or cosmological epoch, is comfortably concordant with a host
of cosmological observations.} {In this article, we use recent measurements of
the X-ray gas mass fractions in clusters of galaxies to constrain the $\alpha$
parameter with curvature $k = \pm1, 0$. We find that the best fit happens for
an open scenario with the power index $\alpha = 1.14 \pm 0.05$, though the flat
and closed model can not be rule out at very high confidence level.} {Our
results are in agreement with other recent analyses and show that the X-ray gas
mass fraction measurements in clusters of galaxies provide a complementary test
to the power law cosmology.


title: Reconstructing f(R) theory according to holographic dark energy

abstract:
  In this paper a connection between the holographic dark energy model and the
$f(R)$ theory is established. We treat the $f(R)$ theory as an effective
description for the holographic dark energy and reconstruct the function $f(R)$
with the parameter $c>1$, $c=1$ and $c<1$, respectively. We show the
distinctive behavior of each cases realized in $f(R)$ theory, especially for
the future evolution.


title: Dynamics of holographic vacuum energy in the DGP model

abstract:
  We consider the evolution of the vacuum energy in the DGP model according to
the holographic principle under the assumption that the relation linking the IR
and UV cut-offs still holds in this scenario. The model is studied when the IR
cut-off is chosen to be the Hubble scale $H^{-1}$, the particle horizon $R_{\rm
ph}$ and the future event horizon $R_{\rm eh}$, respectively. And the two
branches of the DGP model are also taken into account. Through numerical
analysis, we find that in the cases of $H^{-1}$ in the (+) branch and $R_{\rm
eh}$ in both branches, the vacuum energy can play the role of dark energy.
Moreover, when considering the combination of the vacuum energy and the 5D
gravity effect in both branches, the equation of state of the effective dark
energy may cross -1, which may lead to the Big Rip singularity. Besides, we
constrain the model with the Type Ia supernovae and baryon oscillation data and
find that our model is consistent with current data within $1\sigma$, and that
the observations prefer either a pure holographic dark energy or a pure DGP
model


title: Logic Functions and Quantum Error Correcting Codes

abstract:
  In this paper, based on the relationship between logic functions and quantum
error correcting codes(QECCs), we unify the construction of QECCs via graphs,
projectors and logic functions. A construction of QECCs over a prime field
GF(p) is given, and one of the results given by Ref[8] can be viewed as a
corollary of one theorem in this paper. With the help of Boolean functions, we
give a clear proof of the existence of a graphical QECC in mathematical view,
and find that the existence of an [[n,k,d]] QECC over GF(p) requires similar
conditions with that depicted in Ref[9]. The result that under the
correspondence defined in Ref[17], every [[n,0,d]] QECC over GF(2)
corresponding to a simple undirected graph has a Boolean basis state, which is
closely related to the adjacency matrix of the graph, is given.
  After a modification of the definition of operators, we find that some QECCs
constructed via projectors depicted in Ref[11] can have Boolean basis states. A
necessary condition for a Boolean function being used in the construction via
projectors is given. We also give some examples to illustrate our results.


title:
Probe the QGP via dihadron correlations: Jet quenching and
  Medium-response

abstract:
  We summarize the di-hadron correlation results from RHIC, focusing on the
high $p_T$ region and lower $p_T$ region for the away-side. The former is
consistent with fragmentation of jets that surviving the medium, while the
latter suggests the redistribution of the energy from the quenched jets. We
also discuss the role of the jet in the intermediate $p_T$.


title:
Hysteretic and chaotic dynamics of viscous drops in creeping flows with
  rotation

abstract:
  It has been shown in our previous publication
(Blawzdziewicz,Cristini,Loewenberg,2003) that high-viscosity drops in two
dimensional linear creeping flows with a nonzero vorticity component may have
two stable stationary states. One state corresponds to a nearly spherical,
compact drop stabilized primarily by rotation, and the other to an elongated
drop stabilized primarily by capillary forces. Here we explore consequences of
the drop bistability for the dynamics of highly viscous drops. Using both
boundary-integral simulations and small-deformation theory we show that a
quasi-static change of the flow vorticity gives rise to a hysteretic response
of the drop shape, with rapid changes between the compact and elongated
solutions at critical values of the vorticity. In flows with sinusoidal
temporal variation of the vorticity we find chaotic drop dynamics in response
to the periodic forcing. A cascade of period-doubling bifurcations is found to
be directly responsible for the transition to chaos. In random flows we obtain
a bimodal drop-length distribution. Some analogies with the dynamics of
macromolecules and vesicles are pointed out.


title:
Variations of the Solar Acoustic High-Degree Mode Frequencies over Solar
  Cycle 23

abstract:
  Using full-disk observations obtained with the Michelson Doppler Imager (MDI)
on board the Solar and Heliospheric Observatory (SOHO) spacecraft, we present
variations of the solar acoustic mode frequencies caused by the solar activity
cycle. High-degree (100 < l < 900) solar acoustic modes were analyzed using
global helioseismology analysis techniques over most of solar cycle 23. We
followed the methodology described in details in Korzennik, Rabello-Soares and
Schou (2004) to infer unbiased estimates of high-degree mode parameters (see
also Rabello-Soares, Korzennik and Schou, 2006). We have removed most of the
known instrumental and observational effects that affect specifically
high-degree modes. We show that the high-degree changes are in good agreement
with the medium-degree results, except for years when the instrument was highly
defocused. We analyzed and discuss the effect of defocusing on high degree
estimation. Our results for high-degree modes confirm that the frequency shift
scaled by the relative mode inertia is a function of frequency and it is
independent of degree.


title:
Postcorrection and mathematical model of life in Extended Everett's
  Concept

abstract:
  Extended Everett's Concept (EEC) recently developed by the author to explain
the phenomenon of consciousness is considered. A mathematical model is proposed
for the principal feature of consciousness assumed in EEC, namely its ability
(in the state of sleep, trance or meditation, when the explicit consciousness
is disabled) to obtain information from all alternative classical realities
(Everett's worlds) and select the favorable realities. To represent this
ability, a mathematical operation called postcorrection is introduced, which
corrects the present state to guarantee certain characteristics of the future
state. Evolution of living matter is thus determined by goals (first of all by
the goal of survival) as well as by causes. The resulting theory, in a way
symmetrical in time direction, follows from a sort of antropic principle.
Possible criteria for postcorrection and corresponding phenomena in the sphere
of life are classified. Both individual and collective criteria of survival are
considered as well as the criteria providing certain quality of life and those
which are irrelevant to the life quality. The phenomena of free will and direct
sighting of truth (e.g. scientific insight) are explained in these terms. The
problem of artificial intellect and the role of brain look differently in the
framework of this theory. Automats may perform intellectual operations, but not
postcorrection, therefore artificial intellect but not an artificial life can
be created. The brain serves as an interface between the body and
consciousness, but the most profound level of consciousness is not a function
of brain.


title:
Quantum Monte Carlo calculations of structural properties of FeO under
  pressure

abstract:
  We determine the equation of state of stoichiometric FeO employing the
diffusion Monte Carlo method. The fermionic nodes are fixed to those of a wave
function having the form of a single Slater determinant. The calculated ambient
pressure properties (lattice constant, bulk modulus and cohesive energy) agree
very well with available experimental data. At approximately 65 GPa, the
lattice structure is found to change from rocksalt type (B1) to NiAs based
(inverse B8).


title: Effects of diversification among assets in an agent-based market model

abstract:
  We extend to the multi-asset case the framework of a discrete time model of a
single asset financial market developed in Ghoulmie et al (2005). In
particular, we focus on adaptive agents with threshold behavior allocating
their resources among two assets. We explore numerically the effect of this
diversification as an additional source of complexity in the financial market
and we discuss its destabilizing role. We also point out the relevance of these
studies for financial decision making.


title:
Hysteretic ac loss of polygonally arranged superconducting strips
  carrying ac transport current

abstract:
  The hysteretic ac loss of a current-carrying conductor in which multiple
superconducting strips are polygonally arranged around a cylindrical former is
theoretically investigated as a model of superconducting cables. Using the
critical state model, we analytically derive the ac loss $Q_n$ of a total of
$n$ strips. The normalized loss $Q_n/Q_1$ is determined by the number of strips
$n$ and the ratio of the strip width $2w$ to the diameter $2R$ of the
cylindrical former. When $n>> 1$ and $w/R<< 1$, the behavior of $Q_n$ is
similar to that of an infinite array of coplanar strips.


title:
The SCUBA Half Degree Extragalactic Survey (SHADES) - IX: the
  environment, mass and redshift dependence of star formation

abstract:
  We present a comparison between the SCUBA Half Degree Extragalactic Survey
(SHADES) at 450 and 850 microns in the Lockman Hole East with a deep Spitzer
Space Telescope survey at 3.6-24 microns conducted in Guaranteed Time. Using
stacking analyses we demonstrate a striking correspondence between the galaxies
contributing the submm extragalactic background light, with those likely to
dominate the backgrounds at Spitzer wavelengths. Using a combination BRIzK plus
Spitzer photometric redshifts, we show that at least a third of the
Spitzer-identified submm galaxies at 1<z<1.5 appear to reside in overdensities
when the density field is smoothed at 0.5-2 Mpc comoving diameters, supporting
the high-redshift reversal of the local star formation - galaxy density
relation. We derive the dust-shrouded cosmic star formation history of galaxies
as a function of assembled stellar masses. For model stellar masses <10^11
Msun, this peaks at lower redshifts than the ostensible z~2.2 maximum for submm
point sources, adding to the growing consensus for ``downsizing'' in star
formation. Our surveys are also consistent with ``downsizing'' in mass
assembly. Both the mean star formation rates <dM/dt> and specific star
formation rates <(1/M)dM/dt> are in striking disagreement with some
semi-analytic predictions from the Millenium simulation. The discrepancy could
either be resolved with a top-heavy initial mass function, or a significant
component of the submm flux heated by the interstellar radiation field.


title: Why are some A stars magnetic, while most are not?

abstract:
  A small fraction of intermediate-mass main sequence (A and B type) stars have
strong, organised magnetic fields. The large majority of such stars, however,
show no evidence for magnetic fields, even when observed with very high
precision. In this paper we describe a simple model, motivated by qualitatively
new observational results, that provides a natural physical explanation for the
small fraction of observed magnetic stars.


title: Dynamical D4-D8 and D3-D7 branes in supergravity

abstract:
  We present a class of dynamical solutions for intersecting D4-D8 and D3-D7
brane systems in ten-dimensional type IIA and IIB supergravity. We discuss if
these solutions can be recovered in lower-dimensional effective theories for
the warped compactification of a general p-brane system. It is found that an
effective $p+1$-dimensional description is not possible in general due to the
entanglement of the transverse coordinates and the $p+1$-dimensional
coordinates in the metric components. For the D4-D8 brane system, the dynamical
solutions reduces to a static warped ${\rm AdS_6}\times {\rm S}^4$ geometry in
a certain spacetime region. For the D3-D7 brane system, we find a dynamical
solution whose metric form is similar to that of a D3-brane solution. The main
difference is the existence of a nontrivial dilaton configuration in the D3-D7
solution. Then we discuss cosmology of these solutions. We find that they
behave like a Kasner-type cosmological solution at $\tau\to\infty$, while it
reduces to a warped static solution at $\tau\to0$, where $\tau$ is the cosmic
time.


title: New BPS Configurations of BMN Matrix Theory

abstract:
  We explore the 1/2 BPS configurations in BMN matrix theory with SO(3) angular
momentum of $SO(3)\times SO(6)$ symmetry. The fluctuation analysis of the BPS
configurations near the abelian solutions and also the fuzzy two sphere vacua
reveals how nonabelian BPS configurations emerge. Especially the irreducible
nonabelian configurations seem to have the maximal angular momentum of order
$N^3$, beyond which they collapse to abelian ones. We also find some new BPS
configurations explicitly.


title: A Unified Framework for Pricing Credit and Equity Derivatives

abstract:
  We propose a model which can be jointly calibrated to the corporate bond term
structure and equity option volatility surface of the same company. Our purpose
is to obtain explicit bond and equity option pricing formulas that can be
calibrated to find a risk neutral model that matches a set of observed market
prices. This risk neutral model can then be used to price more exotic, illiquid
or over-the-counter derivatives. We observe that the model implied credit
default swap (CDS) spread matches the market CDS spread and that our model
produces a very desirable CDS spread term structure. This is observation is
worth noticing since without calibrating any parameter to the CDS spread data,
it is matched by the CDS spread that our model generates using the available
information from the equity options and corporate bond markets. We also observe
that our model matches the equity option implied volatility surface well since
we properly account for the default risk premium in the implied volatility
surface. We demonstrate the importance of accounting for the default risk and
stochastic interest rate in equity option pricing by comparing our results to
Fouque, Papanicolaou, Sircar and Solna (2003), which only accounts for
stochastic volatility.


title: Network Tomography: Identifiability and Fourier Domain Estimation

abstract:
  The statistical problem for network tomography is to infer the distribution
of $\mathbf{X}$, with mutually independent components, from a measurement model
$\mathbf{Y}=A\mathbf{X}$, where $A$ is a given binary matrix representing the
routing topology of a network under consideration. The challenge is that the
dimension of $\mathbf{X}$ is much larger than that of $\mathbf{Y}$ and thus the
problem is often called ill-posed. This paper studies some statistical aspects
of network tomography. We first address the identifiability issue and prove
that the $\mathbf{X}$ distribution is identifiable up to a shift parameter
under mild conditions. We then use a mixture model of characteristic functions
to derive a fast algorithm for estimating the distribution of $\mathbf{X}$
based on the General method of Moments. Through extensive model simulation and
real Internet trace driven simulation, the proposed approach is shown to be
favorable comparing to previous methods using simple discretization for
inferring link delays in a heterogeneous network.


title:
A Systematic Study on Direct Photon Production from Central Heavy Ion
  Collisions

abstract:
  We investigate the production of direct photons in central Au-Au collisions
at the relativistic Heavy-Ion Collider (RHIC) at 200 GeV per nucleon,
considering all possible sources. We treat thermal photons emitted from a
quark-gluon plasma and from a hadron gas, based on a realistic thermodynamic
expansion. Hard photons from elementary nucleon-nucleon scatterings are
included: primordial elementary scatterings are certainly dominant at large
transverse momenta, but also secondary photons from jet fragmentation and
jet-photon conversion cannot be ignored. In both cases we study the effect of
energy loss, and we also consider photons emitted from bremsstrahlung gluons
via fragmentation.


title: Rapid Measurement of Quantum Systems using Feedback Control

abstract:
  We introduce a feedback control algorithm that increases the speed at which a
measurement extracts information about a $d$-dimensional system by a factor
that scales as $d^2$. Generalizing this algorithm, we apply it to a register of
$n$ qubits and show an improvement O(n). We derive analytical bounds on the
benefit provided by the feedback and perform simulations that confirm that this
speedup is achieved.


title:
Relativistic corrections to transition frequencies of Ag I, Dy I, Ho I,
  Yb II, Yb III, Au I and Hg II and search for variation of the fine structure
  constant

abstract:
  Dependence of transition frequencies on the fine structure constant
$\alpha=e^2/\hbar c$ is calculated for several many-electron systems which are
used or planned to be used in the laboratory search for the time variation of
the fine structure constant. In systems with a large number of electrons in
open shells (from 11 to 15) the relative effects of the variation may be
strongly enhanced. For the transitions which were considered before the results
are in good agreement with previous calculations.


title: Conserved mass aggregation model with mass-dependent fragmentation

abstract:
  We study a conserved mass aggregation model with mass-dependent fragmentation
in one dimension. In the model, the whole mass $m$ of a site isotropically
diffuse with unit rate. With rate $\omega$, a mass $m^{\lambda}$ is fragmented
from the site and moves to a randomly selected nearest neighbor site. Since the
fragmented mass is smaller than the whole mass $m$ of a site for $\lambda < 1$,
the on-site attractive interaction exists for the case. For $\lambda = 0$, the
model is known to undergo the condensation phase transitions from a fluid phase
into a condensed phase as the density of total masses ($\rho$) increases beyond
a critical density $\rho_c$. For $0< \lambda <1$, we numerically confirm for
several values of $\omega$ that $\rho_c$ diverges with the system size $L$.
Hence in thermodynamic limit, the condensed phase disappears and no transitions
take place in one dimension. We also explain that there are no transitions in
any dimensions.


title: First-principles LDA+U and GGA+U study of plutonium oxides

abstract:
  The electronic structure and properties of PuO$_{2}$ and Pu$_{2}$O$_{3}$ have
been studied from first principles by the all-electron projector-augmented-wave
(PAW) method. The local density approximation (LDA)+$U$ and the generalized
gradient approximation (GGA)+$U$ formalism have been used to account for the
strong on-site Coulomb repulsion among the localized Pu $5f$ electrons. We
discuss how the properties of PuO$_{2}$ and Pu$_{2}$O$_{3}$ are affected by the
choice of $U$ as well as the choice of exchange-correlation potential. Also,
oxidation reaction of Pu$_{2}$O$_{3}$, leading to formation of PuO$_{2}$, and
its dependence on $U$ and exchange-correlation potential have been studied. Our
results show that by choosing an appropriate $U$ it is promising to correctly
and consistently describe structural, electronic, and thermodynamic properties
of PuO$_{2}$ and Pu$_{2}$O$_{3}$, which enables it possible the modeling of
redox process involving Pu-based materials.


title: Tailoring hole spin splitting and polarization in nanowires

abstract:
  Spin splitting in p-type semiconductor nanowires is strongly affected by the
interplay between quantum confinement and spin-orbit coupling in the valence
band. The latter's particular importance is revealed in our systematic
theoretical study presented here, which has mapped the range of spin-orbit
coupling strengths realized in typical semiconductors. Large controllable
variations of the g-factor with associated characteristic spin polarization are
shown to exist for nanowire subband edges, which therefore turn out to be a
versatile laboratory for investigating the complex spin properties exhibited by
quantum-confined holes.


title:
On the internal structure of dyons in ${\cal N}=4$ super Yang-Mills
  theories

abstract:
  We use the low energy effective $U(1)^r$ action on the Coulomb branch of
${\cal N}=4$ super Yang-Mills theory to construct approximate field
configurations for solitonic dyons in these theories, building on the brane
prong description developed in hep-th/0101114. This dovetails closely with the
corresponding description of these dyons as string webs stretched between
D-branes in the transverse space. The resulting picture within these
approximations shows the internal structure of these dyons (for fixed
asymptotic charges) to be molecule-like, with multiple charge cores held
together at equilibrium separations, which grow large near lines of marginal
stability. Although these techniques do not yield a complete solution for the
spatial structure (i.e. all core sizes and separations) of large charge
multicenter dyons in high rank gauge theories, approximate configurations can
be found in specific regions of moduli space, which become increasingly
accurate near lines of marginal stability. We also discuss string webs with
internal faces from this point of view.


title:
Time dependent diffusion in a disordered medium with partially absorbing
  walls: A perturbative approach

abstract:
  We present an analytical study of the time dependent diffusion coefficient in
a dilute suspension of spheres with partially absorbing boundary condition.
Following Kirkpatrick (J. Chem. Phys. 76, 4255) we obtain a perturbative
expansion for the time dependent particle density using volume fraction $f$ of
spheres as an expansion parameter. The exact single particle $t$-operator for
partially absorbing boundary condition is used to obtain a closed form
time-dependent diffusion coefficient $D(t)$ accurate to first order in the
volume fraction $f$. Short and long time limits of $D(t)$ are checked against
the known short-time results for partially or fully absorbing boundary
conditions and long-time results for reflecting boundary conditions. For fully
absorbing boundary condition the long time diffusion coefficient is found to be
$D(t)=5 a^2/(12 f D_{0} t) +O((D_0t/a^2)^{-2})$, to the first order of
perturbation theory. Here $f$ is small but non-zero, $D_0$ the diffusion
coefficient in the absence of spheres, and $a$ the radius of the spheres. The
validity of this perturbative result is discussed.


title: Exotica possibility of new observations by BES

abstract:
  The employment of interpolating currents of existed studies of four-quark
state and glueball with QCD sum rule approach is analyzed. In terms of suitable
currents, the masses of the lowest lying scalar and pseudo-scalar glueball were
determined. The masses of some tetraquark states and their first orbital
excitations were obtained through a combination of the sum rule with the
constituent quark model. Exotica possibility of the new observations by BES is
discussed.


title:
Counterexamples to additivity of minimum output p-Renyi entropy for p
  close to 0

abstract:
  Complementing recent progress on the additivity conjecture of quantum
information theory, showing that the minimum output p-Renyi entropies of
channels are not generally additive for p>1, we demonstrate here by a careful
random selection argument that also at p=0, and consequently for sufficiently
small p, there exist counterexamples.
  An explicit construction of two channels from 4 to 3 dimensions is given,
which have non-multiplicative minimum output rank; for this pair of channels,
numerics strongly suggest that the p-Renyi entropy is non-additive for all p <
0.11. We conjecture however that violations of additivity exist for all p<1.


title:
Virtual Structure Constants as Intersection Numbers of Moduli Space of
  Polynomial Maps with Two Marked Points

abstract:
  In this paper, we derive the virtual structure constants used in mirror
computation of degree k hypersurface in CP^{N-1}, by using localization
computation applied to moduli space of polynomial maps from CP^{1} to CP^{N-1}
with two marked points. We also apply this technique to non-nef local geometry
O(1)+O(-3)->CP^{1} and realize mirror computation without using Birkhoff
factorization.


title: Confronting Finite Unified Theories with Low-Energy Phenomenology

abstract:
  Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified
  Theories that can be made all-loop finite. The requirement of all-loop
finiteness leads to a severe reduction of the free parameters of the theory
and, in turn, to a large number of predictions. FUTs are investigated in the
context of low-energy phenomenology observables. We present a detailed scanning
of the all-loop finite SU(5) FUTs, where we include the theoretical
uncertainties at the unification scale and we apply several phenomenological
constraints. Taking into account the restrictions from the top and bottom quark
masses, we can discriminate between different models. Including further
low-energy constraints such as B physics observables, the bound on the lightest
Higgs boson mass and the cold dark matter density, we determine the predictions
of the allowed parameter space for the Higgs boson sector and the
supersymmetric particle spectrum of the selected model.


title: Three dimensional noncommutative bosonization

abstract:
  We consider the extension of the 2+1-dimensional bosonization process in
Non-Commutative (NC) spacetime. We show that the large mass limit of the
effective action obtained by integrating out the fermionic fields in NC
spacetime leads to the NC Chern-Simons action. The present result is valid to
all orders in the noncommutative parameter $\theta$. We also discuss how the NC
Yang-Mills action is induced in the next to leading order.


title: Initiation and propagation of coronal mass ejections

abstract:
  This paper reviews recent progress in the research on the initiation and
propagation of CMEs. In the initiation part, several trigger mechanisms are
discussed; In the propagation part, the observations and modelings of EIT
waves/dimmings, as the EUV counterparts of CMEs, are described.


abstract:
  Proceedings of the 12th International Conference on Elastic and Diffractive
Scattering (Blois Workshop) - Forward Physics and QCD


title: Measuring current by counting electrons in a nanowire quantum dot

abstract:
  We measure current by counting single electrons tunneling through an InAs
nanowire quantum dot. The charge detector is realized by fabricating a quantum
point contact in close vicinity to the nanowire. The results based on electron
counting compare well to a direct measurements of the quantum dot current, when
taking the finite bandwidth of the detector into account. The ability to detect
single electrons also opens up possibilities for manipulating and detecting
individual spins in nanowire quantum dots.


title: Convergence Rates for Approximations of Functionals of SDEs

abstract:
  We consider upper bounds for the approximation error E|g(X)-g(\hat X)|^p,
where X and \hat X are random variables such that \hat X is an approximation of
X in the L_p-norm, and the function g belongs to certain function classes,
which contain e.g. functions of bounded variation. We apply the results to the
approximations of a solution of a stochastic differential equation at time T by
the Euler and Milstein schemes. For the Euler scheme we provide also a lower
bound.


title: On the measurement by EDX of diffusion profiles of Ni/Cu assemblies

abstract:
  To characterise (inter)diffusion in materials, concentration profiles can be
measured by EDX. It allows one to determine the chemical composition with a
very good accuracy if measurement artefacts are accounted for. Standard
phenomena (such as X-ray fluorescence) are usually corrected by commercial
software. However, the effect of the pear-shaped volume of X-ray emission on
the concentration profiles has to be considered. The paper describes the origin
of this artefact, its consequences on measurements and will provide a practical
solution (based on signal processing methods) to deconvolute the actual
concentration profiles (or the diffusion coefficient) from the raw
measurements.


title: On Lusternik-Schnirelmann category of SO(10)

abstract:
  Let $G$ be a compact connected Lie group and $p : E\to \Sigma A$ be a
principal G-bundle with a characteristic map $\alpha : A\to G$, where $A=\Sigma
A_{0}$ for some $A_{0}$. Let $\{K_{i}{\to} F_{i-1}{\hookrightarrow} F_{i} \,|\,
1{\le} i {\le} n,\, F_{0}{=} \{\ast\} \; F_{1}{=} \Sigma{K_{1}} \; \text{and}\;
F_{n}{\simeq} G \}$ be a cone-decomposition of $G$ of length $m$ and
$F'_{1}=\Sigma{K'_{1}} \subset F_{1}$ with $K'_{1} \subset K_{1}$ which satisfy
$F_{i}F'_{1} \subset F_{i+1}$ up to homotopy for any $i$. Our main result is as
follows: we have $\operatorname{cat}(X) \le m{+}1$, if firstly the
characteristic map $\alpha$ is compressible into $F'_{1}$, secondly the
Berstein-Hilton Hopf invariant $H_{1}(\alpha)$ vanishes in $[A, \Omega
F'_1{\ast}\Omega F'_1]$ and thirdly $K_{m}$ is a sphere. We apply this to the
principal bundle $\mathrm{SO}(9)\hookrightarrow\mathrm{SO}(10)\to S^{9}$ to
determine L-S category of $\mathrm{SO}(10)$.


title: Subcritical regimes in some models of continuum percolation

abstract:
  We consider some continuum percolation models. We are mainly interested in
giving some sufficient conditions for absence of percolation. We give some
general conditions and then focuse on two examples. The first one is a
multiscale percolation model based on the Boolean model. It was introduced by
Meester and Roy and subsequently studied by Menshikov, Popov and Vachkovskaia.
The second one is based on the stable marriage of Poisson and Lebesgue
introduced by Hoffman, Holroyd and Peres and whose percolation properties have
been studied by Freire, Popov and Vachkovskaia.


title:
Excitation transfer and luminescence in porphyrin-carbon nanotube
  complexes

abstract:
  Functionalization of carbon nanotubes with hydrosoluble porphyrins (TPPS) is
achieved by "$\pi$-stacking". The porphyrin/nanotube interaction is studied by
means of optical absorption, photoluminescence and photoluminescence excitation
spectroscopies. The main absorption line of the porphyrins adsorbed on
nanotubes exhibits a 120 meV red shift, which we ascribe to a flattening of the
molecule in order to optimize $\pi-\pi$ interactions. The porphyrin-nanotube
complex shows a strong quenching of the TPPS emission while the
photoluminescence intensity of the nanotubes is enhanced when the excitation
laser is in resonance with the porphyrin absorption band. This reveals an
efficient excitation transfer from the TPPS to the carbon nanotube.


title: Zeeman effect of the hyperfine structure levels in lithiumlike ions

abstract:
  The fully relativistic theory of the Zeeman splitting of the $(1s)^2 2s$
hyperfine-structure levels in lithiumlike ions with $Z=6 - 32$ is considered
for the magnetic field magnitude in the range from 1 to 10 T. The second-order
corrections to the Breit -- Rabi formula are calculated and discussed including
the one-electron contributions as well as the interelectronic-interaction
effects of order 1/Z. The 1/Z corrections are evaluated within a rigorous QED
approach. These corrections are combined with other
interelectronic-interaction, QED, nuclear recoil, and nuclear size corrections
to obtain high-precision theoretical values for the Zeeman splitting in Li-like
ions with nonzero nuclear spin. The results can be used for a precise
determination of nuclear magnetic moments from $g$-factor experiments.


title:
Controlling Delay-induced Hopf bifurcation in Internet congestion
  control system

abstract:
  This paper focuses on Hopf bifurcation control in a dual model of Internet
congestion control algorithms which is modeled as a delay differential equation
(DDE). By choosing communication delay as a bifurcation parameter, it has been
demonstrated that the system loses stability and a Hopf bifurcation occurs when
communication delay passes through a critical value. Therefore, a time-delayed
feedback control method is applied to the system for delaying the onset of
undesirable Hopf bifurcation. Theoretical analysis and numerical simulations
confirm that the delayed feedback controller is efficient in controlling Hopf
bifurcation in Internet congestion control system. Moreover, the direction of
the Hopf bifurcation and the stability of the bifurcating periodic solutions
are determinated by applying the center manifold theorem and the normal form
theory.


title: The Empirical Mass-Luminosity Relation for Low Mass Stars

abstract:
  This work is devoted to improving empirical mass-luminosity relations and
mass-metallicity-luminosity relation for low mass stars. For these stars,
observational data in the mass-luminosity plane or the
mass-metallicity-luminosity space subject to non-negligible errors in all
coordinates with different dimensions. Thus a reasonable weight assigning
scheme is needed for obtaining more reliable results. Such a scheme is
developed, with which each data point can have its own due contribution.
Previous studies have shown that there exists a plateau feature in the
mass-luminosity relation. Taking into account the constraints from the
observational luminosity function, we find by fitting the observational data
using our weight assigning scheme that the plateau spans from 0.28 to 0.50
solar mass. Three-piecewise continuous improved mass-luminosity relations in K,
J, H and V bands, respectively, are obtained. The visual
mass-metallicity-luminosity relation is also improved based on our K band
mass-luminosity relation and the available observational metallicity data.


title: Black Hole Information in a Detector (Atom) - Field Analog

abstract:
  This is a synopsis of our recent work on quantum entanglement, recoherence
and information flow between an uniformly accelerated detector and a massless
quantum scalar field. The availability of exact solutions to this model enables
us to explore the black hole information issue with some quantifiable results
and new insights. To the extent this model can be used as an analog to the
system of a black hole interacting with a quantum field, our result seems to
suggest in the prevalent non-Markovian regime, assuming unitarity for the
combined system, that black hole information is not lost but transferred to the
quantum field degrees of freedom. This combined system will evolve into a
highly entangled state between a remnant of large area (in Bekenstein's black
hole atom analog) without any information of its initial state, while the
quantum field is imbued with complex information content not-so-easily
retrievable by a local observer.


title: Effective pairing interactions with isospin density dependence

abstract:
  We perform Hartree-Fock-Bogoliubov (HFB) calculations for semi-magic Calcium,
Nickel, Tin and Lead isotopes and $N$=20, 28, 50 and 82 isotones using
density-dependent pairing interactions recently derived from a microscopic
nucleon-nucleon interaction. These interactions have an isovector component so
that the pairing gaps in symmetric and neutron matter are reproduced. Our
calculations well account for the experimental data for the neutron number
dependence of binding energy, two neutrons separation energy, and odd-even mass
staggering of these isotopes. This result suggests that by introducing the
isovector term in the pairing interaction, one can construct a global effective
pairing interaction which is applicable to nuclei in a wide range of the
nuclear chart. It is also shown with the local density approximation (LDA) that
the pairing field deduced from the pairing gaps in infinite matter reproduces
qualitatively well the pairing field for finite nuclei obtained with the HFB
method.


title:
Infrared and magnetic characterization of the multiferroic Bi2FeCrO6
  thin films in a broad temperature range

abstract:
  Infrared reflectance spectra of an epitaxial Bi2FeCrO6 thin film prepared by
pulsed laser deposition on LaAlO3 substrate were recorded between 10 and 900 K.
No evidence for a phase transition to the paraelectric phase was observed, but
some phonon anomalies were revealed near 600 K. Most of the polar modes exhibit
only a gradual softening, which results in a continuous increase of the static
permittivity on heating. It indicates that the ferroelectric phase transition
should occur somewhere above 900 K. Magnetic measurements performed up to 1000
K, revealed a possible magnetic phase transition between 600 and 800 K, but the
exact critical temperature cannot be determined due to a strong diamagnetic
signal from the substrate. Nevertheless, our experimental data show that the
B-site ordered Bi2FeCrO6 is one of the rare high-temperature multiferroics.


title: Partially Annealed Disorder and Collapse of Like-Charged Macroions

abstract:
  Charged systems with partially annealed charge disorder are investigated
using field-theoretic and replica methods. Charge disorder is assumed to be
confined to macroion surfaces surrounded by a cloud of mobile neutralizing
counterions in an aqueous solvent. A general formalism is developed by assuming
that the disorder is partially annealed (with purely annealed and purely
quenched disorder included as special cases), i.e., we assume in general that
the disorder undergoes a slow dynamics relative to fast-relaxing counterions
making it possible thus to study the stationary-state properties of the system
using methods similar to those available in equilibrium statistical mechanics.
By focusing on the specific case of two planar surfaces of equal mean surface
charge and disorder variance, it is shown that partial annealing of the
quenched disorder leads to renormalization of the mean surface charge density
and thus a reduction of the inter-plate repulsion on the mean-field or
weak-coupling level. In the strong-coupling limit, charge disorder induces a
long-range attraction resulting in a continuous disorder-driven collapse
transition for the two surfaces as the disorder variance exceeds a threshold
value. Disorder annealing further enhances the attraction and, in the limit of
low screening, leads to a global attractive instability in the system.


title:
Strichartz estimates for Schroedinger equations with periodic potential
  in 1D

abstract:
  This paper has been withdrawn by the author due to a crucial error in the
Proof of Theorem 0.3


title: Asymptotic Lower Bounds for a class of Schroedinger Equations

abstract:
  We shall study the following initial value problem: \begin{equation}{\bf
i}\partial_t u - \Delta u + V(x) u=0, \hbox{} (t, x) \in {\mathbf R} \times
{\mathbf R}^n, \end{equation} $$u(0)=f,$$ where $V(x)$ is a real short--range
potential, whose radial derivative satisfies some supplementary assumptions.
More precisely we shall present a family of identities satisfied by the
solutions to the previous Cauchy problem. As a by--product of these identities
we deduce some uniqueness results and a lower bound for the so called local
smoothing which becomes an identity in a precise asymptotic sense.


title: A bijection for rooted maps on orientable surfaces

abstract:
  The enumeration of maps and the study of uniform random maps have been
classical topics of combinatorics and statistical physics ever since the
seminal work of Tutte in the sixties. Following the bijective approach
initiated by Cori and Vauquelin in the eighties, we describe a bijection
between rooted maps, or rooted bipartite quadrangulations, on a surface of
genus g and some simpler objects that generalize plane trees. Thanks to a
rerooting argument, our bijection allows to compute the generating series of
rooted maps on a surface of genus g with respect to the number of edges, and to
recover the asymptotic numbers of such maps.
  Our construction allows to keep track in a bipartite quadrangulation of the
distances of all vertices to a random basepoint. This is an analog for higher
genus surfaces of the basic result on which were built the recent advances in
the comprehension of the intrinsec geometry of large random planar maps,
hopefully opening the way to the study of a model of continuum random surfaces
of genus g.


title:
Large deviations for eigenvalues of sample covariance matrices, with
  applications to mobile communication systems

abstract:
  We study sample covariance matrices of the form $W=\frac 1n C C^T$, where $C$
is a $k\times n$ matrix with i.i.d. mean zero entries. This is a generalization
of so-called Wishart matrices, where the entries of $C$ are independent and
identically distributed standard normal random variables. Such matrices arise
in statistics as sample covariance matrices, and the high-dimensional case,
when $k$ is large, arises in the analysis of DNA experiments.
  We investigate the large deviation properties of the largest and smallest
eigenvalues of $W$ when either $k$ is fixed and $n\to \infty$, or $k_n\to
\infty$ with $k_n=o(n/\log\log{n})$, in the case where the squares of the
i.i.d. entries have finite exponential moments. Previous results, proving a.s.
limits of the eigenvalues, only require finite fourth moments.
  Our most explicit results for $k$ large are for the case where the entries of
$C$ are $\pm1$ with equal probability. We relate the large deviation rate
functions of the smallest and largest eigenvalue to the rate functions for
independent and identically distributed standard normal entries of $C$. This
case is of particular interest, since it is related to the problem of the
decoding of a signal in a code division multiple access system arising in
mobile communication systems. In this example, $k$ plays the role of the number
of users in the system, and $n$ is the length of the coding sequence of each of
the users. Each user transmits at the same time and uses the same frequency,
and the codes are used to distinguish the signals of the separate users. The
results imply large deviation bounds for the probability of a bit error due to
the interference of the various users.


title:
Effects of hydrostatic pressure on the magnetism and martensitic
  transition of Ni-Mn-In magnetic superelastic alloys

abstract:
  We report magnetization and differential thermal analysis measurements as a
function of pressure accross the martensitic transition in magnetically
superelastic Ni-Mn-In alloys. It is found that the properties of the
martensitic transformation are significantly affected by the application of
pressure. All transition temperatures shift to higher values with increasing
pressure. The largest rate of temperature shift with pressure has been found
for Ni$_{50}$Mn$_{34}$In$_{16}$ as a consequence of its small entropy change at
the transition. Such a strong pressure dependence of the transition temperature
opens up the possibility of inducing the martensitic transition by applying
relatively low hydrostatic pressures.


title:
First-principles investigation of Ag-Cu alloy surfaces in an oxidizing
  environment

abstract:
  In this paper we investigate by means of first-principles density functional
theory calculations the (111) surface of the Ag-Cu alloy under varying
conditions of pressure of the surrounding oxygen atmosphere and temperature.
This alloy has been recently proposed as a catalyst with improved selectivity
for ethylene epoxidation with respect to pure silver, the catalyst commonly
used in industrial applications. Here we show that the presence of oxygen leads
to copper segregation to the surface. Considering the surface free energy as a
function of the surface composition, we construct the convex hull to
investigate the stability of various surface structures. By including the
dependence of the free surface energy on the oxygen chemical potential, we are
able compute the phase diagram of the alloy as a function of temperature,
pressure and surface composition. We find that, at temperature and pressure
typically used in ethylene epoxidation, a number of structures can be present
on the surface of the alloy, including clean Ag(111), thin layers of copper
oxide and thick oxide-like structures. These results are consistent with, and
help explain, recent experimental results.


title: Duality relation and joint measurement in a Mach-Zehnder Interferometer

abstract:
  The Mach-Zehnder interferometric setup quantitatively characterizing the
wave-particle duality implements in fact a joint measurement of two unsharp
observables. We present a necessary and sufficient condition for such a pair of
unsharp observables to be jointly measurable. The condition is shown to be
equivalent to a duality inequality, which for the optimal strategy of
extracting the which-path information is more stringent than the
Jaeger-Shimony-Vaidman-Englert inequality.


title:
Improving the Performance of PieceWise Linear Separation Incremental
  Algorithms for Practical Hardware Implementations

abstract:
  In this paper we shall review the common problems associated with Piecewise
Linear Separation incremental algorithms. This kind of neural models yield poor
performances when dealing with some classification problems, due to the
evolving schemes used to construct the resulting networks. So as to avoid this
undesirable behavior we shall propose a modification criterion. It is based
upon the definition of a function which will provide information about the
quality of the network growth process during the learning phase. This function
is evaluated periodically as the network structure evolves, and will permit, as
we shall show through exhaustive benchmarks, to considerably improve the
performance(measured in terms of network complexity and generalization
capabilities) offered by the networks generated by these incremental models.


title:
Stability of dark solitons in three dimensional dipolar Bose-Einstein
  condensates

abstract:
  The dynamical stability of dark solitons in dipolar Bose-Einstein condensates
is studied. For standard short-range interacting condensates dark solitons are
unstable against transverse excitations in two and three dimensions. On the
contrary, due to its non local character, the dipolar interaction allows for
stable 3D stationary dark solitons, opening a qualitatively novel scenario in
nonlinear atom optics. We discuss in detail the conditions to achieve this
stability, which demand the use of an additional optical lattice, and the
stability regimes.


title: Langevin molecular dynamics derived from Ehrenfest dynamics

abstract:
  Stochastic Langevin molecular dynamics for nuclei is derived from the
Ehrenfest Hamiltonian system (also called quantum classical molecular dynamics)
in a Kac-Zwanzig setting, with the initial data for the electrons
stochastically perturbed from the ground state and the ratio, $M$, of nuclei
and electron mass tending to infinity. The Ehrenfest nuclei dynamics is
approximated by the Langevin dynamics with accuracy $o(M^{-1/2})$ on bounded
time intervals and by $o(1)$ on unbounded time intervals, which makes the small
$\mathcal{O}(M^{-1/2})$ friction and $o(M^{-1/2})$ diffusion terms visible. The
initial electron probability distribution is a Gibbs density at low temperture,
derived by a stability and consistency argument: starting with any equilibrium
measure of the Ehrenfest Hamiltonian system, the initial electron distribution
is sampled from the equilibrium measure conditioned on the nuclei positions,
which after long time leads to the nuclei positions in a Gibbs distribution
(i.e. asymptotic stability); by consistency the original equilibrium measure is
then a Gibbs measure.The diffusion and friction coefficients in the Langevin
equation satisfy the Einstein's fluctuation-dissipation relation.


title:
Symmetry of singular solutions of degenerate quasilinear elliptic
  equations

abstract:
  We prove radial symmetry of singular solutions to an overdetermined boundary
value problem for a class of degenerate quasilinear elliptic equations.


title:
On a non approximated approach to Extended Thermodynamics for dense
  gases and macromolecular fluids

abstract:
  Recently the 14 moments model of Extended Thermodynamics for dense gases and
macromolecular fluids has been considered and an exact solution, of the
restrictions imposed by the entropy principle and that of Galilean relativity,
has been obtained through a non relativistic limit. Here we prove uniqueness of
the above solution and exploit other pertinent conditions such us the convexity
of the function $h'$ related to the entropy density, the problem of subsystems
and the fact that the flux in the conservation law of mass must be the moment
of order 1 in the conservation law of momentum. Also the solution of this last
condition is here obtained without using expansions around equilibrium. The
results present interesting aspects which were not suspected when only
approximated solutions of this problem were known.


title: Quantum model for double ionization of atoms in strong laser fields

abstract:
  We discuss double ionization of atoms in strong laser pulses using a reduced
dimensionality model. Following the insights obtained from an analysis of the
classical mechanics of the process, we confine each electron to move along the
lines that point towards the two-particle Stark saddle in the presence of a
field. The resulting effective two dimensional model is similar to the aligned
electron model, but it enables correlated escape of electrons with equal
momenta, as observed experimentally. The time-dependent solution of the
Schr\"odinger equation allows us to discuss in detail the time dynamics of the
ionization process, the formation of electronic wave packets and the
development of the momentum distribution of the outgoing electrons. In
particular, we are able to identify the rescattering process, simultaneous
direct double ionization during the same field cycle, as well as other double
ionization processes. We also use the model to study the phase dependence of
the ionization process.


title: Towards a New Paradigm: Relativity in Configuration Space

abstract:
  We consider the possibility that the basic space of physics is not spacetime,
but configuration space. We illustrate this on the example with a system of
gravitationally interacting point particles. It turns out that such system can
be described by the minimal length action in a multidimensional configuration
space C with a block diagonal metric. Allowing for more general metrics and
curvatures of C, we step beyond the ordinary general relativity in spacetime.
The latter theory is then an approximation to the general relativity in C.
Other sorts of configuration spaces can also be considered, for instance those
associated with extended objects, such as strings and branes. This enables a
deeper understanding of the geometric principle behind string theory, and an
insight on the occurrence of Yang-Mills and gravitational fields at the
`fundamental level'.


title:
A nuclear matter description based on quark structure of the nucleon and
  pion exchange

abstract:
  We investigate the possibility to describe nuclear matter in an approach
constrained by the prominent features of quantum chromodynamics. We mapped the
in-medium nucleon self-energies of a point coupling relativistic mean-field
model on self-energies obtained in effective theories of QCD. More precisely,
the contributions to the nucleon self-energy have been separated into the short
range part, driven principally by the quark structure of the nucleon described
in a quark-diquark picture, and the long range part, dictated by pion dynamics
and determined using in-medium chiral perturbation theory. A saturation point,
although unrealistic, is obtained without any free parameter. A realistic
description of nuclear matter saturation properties has been obtained with the
inclusion of a small phenomenological correction term to the short range part
of the self-energy.


title: Cellular structures on Hecke algebras of type B

abstract:
  The aim of this paper is to gather and (try to) unify several approaches for
the modular representation theory of Hecke algebras of type $B$. We attempt to
explain the connections between Geck's cellular structures (coming from
Kazhdan-Lusztig theory with unequal parameters) and Ariki's Theorem on the
canonical basis of the Fock spaces.


title:
Compressed low Mach number flows in astrophysics: a nonlinear Newtonian
  numerical solver

abstract:
  Internal flows inside gravitationally stable astrophysical objects, such as
the Sun, stars and compact stars are compressed and extremely subsonic. Such
low Mach number flows are usually encountered when studying for example dynamo
action in stars, planets, the hydro-thermodynamics of X-ray bursts on neutron
stars and dwarf novae. Treating such flows is numerically complicated and
challenging task. We aim to present a robust numerical tool that enables
modeling the time-evolution or quasi-stationary of stratified low Mach number
flows under astrophysical conditions. It is argued that astrophysical low Mach
number flows cannot be considered as an asymptotic limit of incompressible
flows, but rather as highly compressed flows with extremely stiff pressure
terms. Unlike the pseudo-pressure in incompressible fluids, a Possion-like
treatment for the pressure would smooth unnecessarily the physically induced
acoustic perturbations, thereby violating the conservation character of the
compressible equations. Moreover, classical dimensional splitting techniques,
such as ADI or Line-Gauss-Seidel methods are found to be unsuited for modeling
compressible flows with low Mach numbers. In this paper we present a nonlinear
Newton-type solver that is based on the defect-correction iteration procedure
and in which the Approximate Factorization Method (AFM) is used as a
preconditioner. This solver is found to be sufficiently robust and is capable
of capturing stationary solutions for viscous rotating flows with Mach number
as small as $\mcal{M} \approx 10^{-3},$ i.e., near the incompressibility limit.


title:
Effective temperatures of magnetic CP stars from full spectral energy
  distributions

abstract:
  New determinations of effective temperatures of 23 magnetic, chemically
peculiar (mCP) stars were obtained from a fit of metal enhanced model
atmospheres to the observed spectral energy distributions (SED) from UV to red.
The root-mean-square (RMS) method was used to fit the theoretical SED to the
observations corrected for reddening if necessary, with metallicity and
effective temperature as the fitting parameters. Gravity was assumed to be
equal to log g = 4 for main sequence stars and to log g = 3 for two giants in
the considered sample. Equal weights were given to the UV part and visual part
of SED. Independently of the formal quality of fit resulting from the RMS
method applied to the whole SED, the quality of fit was additionally checked
for each star by determination of the temperature from the best fitting model
atmosphere to the UV part and the visual part of SED separately. Both
temperatures should be close to one another if the global best fitting model
satisfactorily describes the full observed SED. This is the case for about a
half of the investigated stars but the difference exceeds 750 K for the
remaining stars with the extreme values above 2000 K. Possible reasons for such
discrepancies are discussed. New, revised calibrations of effective temperature
and bolometric corrections of mCP stars in terms of reddening free Stromgren
indices are given.


title: Sharp tridiagonal pairs

abstract:
  Let $K$ denote a field and let $V$ denote a vector space over $K$ with finite
positive dimension. We consider a pair of $K$-linear transformations $A:V \to
V$ and $A^*:V \to V$ that satisfies the following conditions:
  (i) each of $A,A^*$ is diagonalizable;
  (ii) there exists an ordering ${V_i}_{i=0}^d$ of the eigenspaces of $A$ such
that $A^* V_i \subseteq V_{i-1} + V_{i} + V_{i+1}$ for $0 \leq i \leq d$, where
$V_{-1}=0$ and $V_{d+1}=0$;
  (iii) there exists an ordering ${V^*_i}_{i=0}^\delta$ of the eigenspaces of
$A^*$ such that $A V^*_i \subseteq V^*_{i-1} + V^*_{i} + V^*_{i+1}$ for $0 \leq
i \leq \delta$, where $V^*_{-1}=0$ and $V^*_{\delta+1}=0$;
  (iv) there is no subspace $W$ of $V$ such that $AW \subseteq W$, $A^* W
\subseteq W$, $W \neq 0$, $W \neq V$.
  We call such a pair a {\em tridiagonal pair} on $V$. It is known that
$d=\delta$ and for $0 \leq i \leq d$ the dimensions of $V_i$, $V_{d-i}$,
$V^*_i$, $V^*_{d-i}$ coincide. We say the pair $A,A^*$ is {\em sharp} whenever
$\dim V_0=1$. A conjecture of Tatsuro Ito and the second author states that if
$K$ is algebraically closed then $A,A^*$ is sharp. In order to better
understand and eventually prove the conjecture, in this paper we begin a
systematic study of the sharp tridiagonal pairs.


title: Extending Bell inequalities to more parties

abstract:
  We describe a method of extending Bell inequalities from $n$ to $n+1$ parties
and formulate sufficient conditions for our method to produce tight
inequalities from tight inequalities. The method is non trivial in the sense
that the inequalities produced by it, when applied to entangled quantum states
may be violated stronger than the original inequalities. In other words, the
method is capable of generating inequalities which are more powerfull
indicators of non-classical correlations than the original inequalities.


title: Generalizing a theorem of P. Hall on finite-by-nilpotent groups

abstract:
  Let $\gamma_i(G)$ and $Z_i(G)$ denote the $i$-th terms of the lower and upper
central series of a group $G$, respectively. P. Hall showed that if
$\gamma_{i+1}(G)$ is finite then the index $|G:Z_{2i}(G)|$ is finite. We prove
that the same result holds under the weaker hypothesis that
$|\gamma_{i+1}(G):\gamma_{i+1}(G)\cap Z_i(G)|$ is finite.


title: Variability Study of EHB Stars in the Globular Cluster NGC 6752

abstract:
  We present the results of a search for variable stars in the central part of
the globular cluster NGC 6752. The monitored sample included 160 BHB and 107
EHB stars, respectively. A total of 17 variables were detected of which 14 are
new identifications. Five variables are BHB/EHB stars. We report also on
identification of a detached eclipsing binary being likely a member of the
cluster. Moreover, we detected an outburst of a dwarf nova located in the
cluster core.


title: Supersymmetric Q-balls: A Numerical Study

abstract:
  We study numerically a class of non-topological solitons, the Q-balls,
arising in supersymmetric extension of the Standard Model with low-energy,
gauge-mediated symmetry breaking. % Taking into account the exact form of the
supersymmetric potential giving rise to Q-balls, we find that there is a lower
limit on the value of the charge $Q$ in order to make them classically stable:
$Q \gtrsim 5 \times 10^2 Q_{\rm cr}$, where $Q_{\rm cr}$ is constant depending
on the parameters defining the potential and can be in the range $1 \lesssim
Q_{\rm cr} \lesssim 10^{8 \div 16}$.If $Q$ is the baryon number, stability with
respect to the decay into protons requires $Q \gtrsim 10^{17} Q_{\rm cr}$,
while if the gravitino mass is greater then $m_{3/2} \gtrsim 61 \MeV$, no
stable gauge-mediation supersymmetric Q-balls exist. Finally, we find that
energy and radius of Q-balls can be parameterized as $E \sim \xi_E Q^{3/4}$ and
$R \sim \xi_R Q^{1/4}$, where $\xi_E$ and $\xi_R$ are slowly varying functions
of the charge.


title: Homological Algebra and Divergent Series

abstract:
  We study some features of infinite resolutions of Koszul algebras motivated
by the developments in the string theory initiated by Berkovits.


title:
Monotone Numerical Schemes for a Dirichlet Problem for Elliptic
  Operators in Divergence Form

abstract:
  We consider a second order differential operator $A(\msx) = -\:\sum_{i,j=1}^d
\partial_i a_{ij}(\msx) \partial_j \:+\: \sum_{j=1}^d \partial_j \big(b_j(\msx)
\cdot \big)\:+\: c(\msx)$ on ${\bbR}^d$, on a bounded domain $D$ with Dirichlet
boundary conditions on $\partial D$, under mild assumptions on the coefficients
of the diffusion tensor $a_{ij}$. The object is to construct monotone numerical
schemes to approximate the solution to the problem $A(\msx) u(\msx) \: = \:
\mu(\msx), \quad \msx \in D$, where $\mu$ is a positive Radon measure. We start
by briefly mentioning questions of existence and uniqueness, introducing
function spaces needed to prove convergence results. Then, we define
non-standard stencils on grid-knots that lead to extended discretization
schemes by matrices possesing compartmental structure. We proceed to
discretization of elliptic operators, starting with constant diffusion tensor
and ending with operators in divergence form. Finally, we discuss
$W_2^1$-convergence in detail, and mention convergence in $C$ and $L_1$ spaces.
We conclude by a numerical example illustarting the schemes and convergence
results.


title: Sinusoidal Excitations in Two Component Bose-Einstein Condensates

abstract:
  The non-linear coupled Gross-Pitaevskii equation governing the dynamics of
the two component Bose-Einstein condensate (TBEC) is shown to admit pure
sinusoidal, propagating wave solutions in quasi one dimensional geometry. These
solutions, which exist for a wide parameter range, are then investigated in the
presence of a harmonic oscillator trap with time dependent scattering length.
This illustrates the procedure for coherent control of these modes through
temporal modulation of the parameters, like scattering length and oscillator
frequency. We subsequently analyzed this system in an optical lattice, where
the occurrence of an irreversible phase transition from superfluid to insulator
phase is seen.


title:
Fractal Weyl law for chaotic microcavities: Fresnel's laws imply
  multifractal scattering

abstract:
  We demonstrate that the harmonic inversion technique is a powerful tool to
analyze the spectral properties of optical microcavities. As an interesting
example we study the statistical properties of complex frequencies of the fully
chaotic microstadium. We show that the conjectured fractal Weyl law for open
chaotic systems [W. T. Lu, S. Sridhar, and M. Zworski, Phys. Rev. Lett. 91,
154101 (2003)] is valid for dielectric microcavities only if the concept of the
chaotic repeller is extended to a multifractal by incorporating Fresnel's laws.


title: Advanced numerical methods in astrophysical fluid dynamics

abstract:
  Computational gas dynamics has become a prominent research field both in
astrophysics and cosmology. In the first part of this review we intend to
briefly describe several of the numerical methods used in this field, discuss
their range of application and present strategies for converting
conditionally-stable numerical methods into unconditionally-stable solution
procedures. The underlying aim of the conversion is to enhance the robustness
and unification of numerical methods and subsequently enlarge their range of
applications considerably. In the second part Fabian Heitsch presents and
discusses the implementation of a time-explicit MHD Boltzmann solver.


title: Discrimination of quantum observables using limited resources

abstract:
  We address the problem of unambiguous discrimination and identification among
quantum observables. We set a general framework and investigate in details the
case of qubit observables. In particular, we show that perfect discrimination
with two shots is possible only for sharp qubit observables (e.g. Stern-Gerlach
apparatuses) associated with mutually orthogonal directions. We also show that
for sharp qubit observables associated to nonorthogonal directions unambiguous
discrimination with an inconclusive result is always possible.


title: Relative Zariski Open Objects

abstract:
  In [TV], Bertrand To\"en and Michel Vaqui\'e define a scheme theory for a
closed monoidal category $(\mathcal{C},\otimes,1)$. One of the key ingredients
of this theory is the definition of a Zariski topology on the category of
commutative monoids in $\mathcal{C}$. The purpose of this article is to prove
that under some hypotheses, Zariski open subobjects of affine schemes can be
classified almost as in the usual case of rings $(Z-mod,\otimes,Z)$. The main
result states that for any commutative monoid $A$, the locale of Zariski open
subobjects of the affine scheme $Spec(A)$ is associated to a topological space
whose points are prime ideals of $A$ and open subsets are defined by the same
formula as in rings. As a consequence, we compare the notions of scheme over
$\mathbb{F}_{1}$ of [D] and [TV].


title: A New Superintegrable Hamiltonian

abstract:
  We identify a new superintegrable Hamiltonian in 3 degrees of freedom,
obtained as a reduction of pure Keplerian motion in 6 dimensions. The new
Hamiltonian is a generalization of the Keplerian one, and has the familiar 1/r
potential with three barrier terms preventing the particle crossing the
principal planes. In 3 degrees of freedom, there are 5 functionally independent
integrals of motion, and all bound, classical trajectories are closed and
strictly periodic. The generalisation of the Laplace-Runge-Lenz vector is
identified and shown to provide functionally independent isolating integrals.
They are quartic in the momenta and do not arise from separability of the
Hamilton-Jacobi equation. A formulation of the system in action-angle variables
is presented.


title:
Numerical approach to $L_1$-problems with the second order elliptic
  operators

abstract:
  For a second order differential operator $A(\msx) =-\nabla a(\msx)\nabla +
b'(\msx)\nabla+ \nabla \big(\msb''(\msx) \cdot\big)$ on a bounded domain $D$
with the Dirichlet boundary conditions on $\partial D$ there exists the inverse
$T(\lambda, A)= (\lambda I+A)^{-1}$ in $L_1(D)$. If $\mu$ is a Radon
(probability) measure on Borel algebra of subsets of $D$, then $T(\lambda,
A)\mu \in L_p(D), p \in [1, d/(d-1))$. We construct the numerical
approximations to $u =T(\lambda, A)\mu$ in two steps. In the first one we
construct grid-solutions ${\bf u}_n$ and in the second step we embed
grid-solutions into the linear space of hat functions $u(n) \in
\dot{W}_p^1(D)$. The strong convergence to the original solutions $u$ is
established in $L_p(D)$ and the weak convergence in $\dot{W}_p^1(D)$.


title:
Negative refraction in (bi)-isotropic periodic arrangements of chiral
  SRRs

abstract:
  Bi-isotropic and isotropic negative refractive index (NRI) 3D metamaterials
made from periodic arrangements of chiral split ring resonators (SRRs) are
proposed and demonstrated. An analytical theory for the characterization and
design of these metamaterials is provided and validated by careful full-wave
electromagnetic simulations. The reported results are expected to pave the way
to the design of practical 3D bi-isotropic and isotropic NRI metamaterials made
from a single kind of inclusions.


title:
Phonon Resonant Cavities as a Promising Building Blocks of Hand-Made
  Nanocrystalline Matter

abstract:
  The nanocrystallite have the finite number of the oscillation modes. Their
number increases proportionally to a cube of the characteristic size. Thus the
oscillation spectrum of nanocrystal becomes discrete, and the separate modes of
oscillations does not interact with each other, that considerably strengthens
all phonon modulated processes in a crystal. Covering of such a nanocrystallite
with the shielding surface of a material with the higher nuclear weight will
allow to create the phonon resonant cavity whose oscillation modes will
represent the standing waves and, will be amplified by the resonant manner. The
composites made of phonon resonant cavities will allow to produce a perspective
functional material for the electronics with adjustable structure and
properties.


title: On limit theorems for continued fractions

abstract:
  It is shown that for sums of functionals of digits in continued fraction
expansion the Kolmogorov-Feller weak laws of large numbers and the
Khinchine-L\'evy-Feller-Raikov characterization of the domain of attraction of
the normal law hold.


title:
Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers of
  Force

abstract:
  The problem of building supersymmetry in the quantum mechanics of two
Coulombian centers of force is analyzed. It is shown that there are essentially
two ways of proceeding. The spectral problems of the SUSY (scalar) Hamiltonians
are quite similar and become tantamount to solving entangled families of Razavy
and Whittaker-Hill equations in the first approach. When the two centers have
the same strength, the Whittaker-Hill equations reduce to Mathieu equations. In
the second approach, the spectral problems are much more difficult to solve but
one can still find the zero-energy ground states.


title: Scalar Field Theory with a Non-Standard Potential

abstract:
  We study the phase structure of a 4D complex scalar field theory with a
potential V(Phi) = | Lambda^3 / Phi - Lambda Phi |^2 at zero and at finite
temperature. The model is analyzed by mean field and Monte Carlo methods. At
zero temperature the theory falls in the universality class of the 4D Ising
model when varying Lambda. The situation is less clear-cut for variations
w.r.t. Lambda at large temperatures and variations w.r.t. temperature at a
given value of Lambda. We observe temperature independence of the mass of the
first excitation.


title: Dynamics of vortex-antivortex pairs in ferromagnets

abstract:
  We study the dynamics of vortex-antivortex (VA) pairs in an infinitely thin
ferromagnetic film with easy-plane anisotropy. These are localized excitations
with finite energy that are characterized by a topological (skyrmion) number N
= 0,+1,-1. Topologically trivial (N=0) VA pairs undergo Kelvin motion analogous
to that encountered in fluid dynamics. In contrast, topologically nontrivial (N
= +1,-1) VA pairs perform rotational motion around a fixed guiding center. We
present the results of a detailed study in both cases and further demonstrate
that in the presence of dissipation a rotating N = +1,-1
  VA pair shrinks to a point and is annihilated, due to the discreteness of the
lattice, thus leading to a "topologically forbidden" (Delta N = 1) process. We
argue that the latter process underlies the experimentally observed vortex core
switching whereby the polarity of a single vortex is reversed after collision
with an N = 0 VA pair created by a burst of an applied alternating magnetic
field.


title: The Scalar Field Kernel in Cosmological Spaces

abstract:
  We construct the quantum mechanical evolution operator in the Functional
Schrodinger picture - the kernel - for a scalar field in spatially homogeneous
FLRW spacetimes when the field is a) free and b) coupled to a spacetime
dependent source term. The essential element in the construction is the causal
propagator, linked to the commutator of two Heisenberg picture scalar fields.
We show that the kernels can be expressed solely in terms of the causal
propagator and derivatives of the causal propagator. Furthermore, we show that
our kernel reveals the standard light cone structure in FLRW spacetimes. We
finally apply the result to Minkowski spacetime, to de Sitter spacetime and
calculate the forward time evolution of the vacuum in a general FLRW spacetime.


title: The fate of conformal symmetry in the non-linear Schr\"{o}dinger theory

abstract:
  The free Schroedinger theory in d space dimensions is a non-relativistic
conformal field theory. The interacting non-linear theory preserves this
symmetry in specific numbers of dimensions at the classical (tree) level. This
holds in particular for the Phi^4-theory in d = 2. We compute the full quantum
corrections to the 4-point function to show that the symmetry is broken by an
anomalous contribution proportional to the exact beta-function


title: On the sphericity of scaling limits of random planar quadrangulations

abstract:
  We give a new proof of a theorem by Le Gall & Paulin, showing that scaling
limits of random planar quadrangulations are homeomorphic to the 2-sphere. The
main geometric tool is a reinforcement of the notion of Gromov-Hausdorff
convergence, called 1-regular convergence, that preserves topological
properties of metric surfaces.


title: Tessellations of random maps of arbitrary genus

abstract:
  We investigate Voronoi-like tessellations of bipartite quadrangulations on
surfaces of arbitrary genus, by using a natural generalization of a bijection
of Marcus and Schaeffer allowing to encode such structures into labeled maps
with a fixed number of faces. We investigate the scaling limits of the latter.
Applications include asymptotic enumeration results for quadrangulations, and
typical metric properties of randomly sampled quadrangulations. In particular,
we show that scaling limits of these random quadrangulations are such that
almost every pair of points are linked by a unique geodesic.


title: From the Kadomtsev-Petviashvili equation halfway to Ward's chiral model

abstract:
  The "pseudodual" of Ward's modified chiral model is a dispersionless limit of
the matrix Kadomtsev-Petviashvili (KP) equation. This relation allows to carry
solution techniques from KP over to the former model. In particular, lump
solutions of the su(m) model with rather complex interaction patterns are
reached in this way. We present a new example.


title:
Vibronic effects in single molecule conductance: First-principles
  description and application to benezenealkanethiolates between gold
  electrodes

abstract:
  The effect of vibrational motion on resonant charge transport through single
molecule junctions is investigated. The study is based on a combination of
first-principles electronic structure calculations to characterize the system
and inelastic scattering theory to calculate transport properties. The
extension of the methodology to describe hole transport through occupied
molecular orbitals is discussed. The methodology is applied to molecular
junctions where a benzene molecule is connected via alkanethiolate bridges to
two gold electrodes. The results demonstrate that, depending on the coupling
between the electronic $\pi$-system of the benzene ring and the gold
electrodes, vibronic coupling may have a significant influence on the transport
properties of the molecular junction.


title: Curvature of classifying spaces for Brieskorn lattices

abstract:
  We study tt*-geometry on the classifying space for regular singular
TERP-structures, e.g., Fourier-Laplace transformations of Brieskorn lattices of
isolated hypersurface singularities. We show that (a part of) this classifying
space can be canonically equipped with a hermitian structure. We derive an
estimate for the holomorphic sectional curvature of this hermitian metric,
which is the analogue of a similar result for classifying spaces of pure
polarized Hodge structures.


title: Kaluza-Klein towers in warped spaces with metric singularities

abstract:
  The version of the warp model that we proposed to explain the mass scale
hierarchy has been extended by the introduction of one or more singularities in
the metric. We restricted ourselves to a real massless scalar field supposed to
propagate in a five dimensional bulk with the extradimension being compactified
on a strip or on a circle. With the same emphasis on the hermiticity and
commutativity properties of the Kakuza Klein operators, we have established all
the allowed boundary conditions to be imposed on the fields. From them, for
given positions of the singularities, one can deduce either mass eigenvalues
building up a Kaluza Klein tower, or a tachyon, or a zero mass state. Assuming
the Planck mass to be the high mass scale and by a choice, unique for all
boundary conditions, of the major warp parameters, the low lying mass
eigenvalues are of the order of the TeV, in this way explaining the mass scale
hierarchy. In our model, the physical masses are related to the Kaluza Klein
eigenvalues, depending on the location of the physical brane which is an
arbitrary parameter of the model. Illustrative numerical calculations are given
to visualize the structure of Kaluza Klein mass eigenvalue towers. Observation
at high energy colliders like LHC of a mass tower with its characteristic
structure would be the fingerprint of the model.


title: Event-by-event simulation of Einstein-Podolsky-Rosen-Bohm experiments

abstract:
  We construct an event-based computer simulation model of the
Einstein-Podolsky-Rosen-Bohm experiments with photons. The algorithm is a
one-to-one copy of the data gathering and analysis procedures used in real
laboratory experiments. We consider two types of experiments, those with a
source emitting photons with opposite but otherwise unpredictable polarization
and those with a source emitting photons with fixed polarization. In the
simulation, the choice of the direction of polarization measurement for each
detection event is arbitrary. We use three different procedures to identify
pairs of photons and compute the frequency of coincidences by analyzing
experimental data and simulation data. The model strictly satisfies Einstein's
criteria of local causality, does not rely on any concept of quantum theory and
reproduces the results of quantum theory for both types of experiments. We give
a rigorous proof that the probabilistic description of the simulation model
yields the quantum theoretical expressions for the single- and two-particle
expectation values.


title:
Subcritical solution of the Yang-Mills Schroedinger equation in the
  Coulomb gauge

abstract:
  In the Hamiltonian approach to Coulomb gauge Yang-Mills theory, the
functional Schroedinger equation is solved variationally resulting in a set of
coupled Dyson-Schwinger equations. These equations are solved self-consistently
in the subcritical regime defined by infrared finite form factors. It is shown
that the Dyson-Schwinger equation for the Coulomb form factor fails to have a
solution in the critical regime where all form factors have infrared divergent
power laws.


title: From Hopf C*-families to concrete Hopf C*-bimodules

abstract:
  In the setting of von Neumann algebras, measurable quantum groupoids have
successfully been axiomatized and studied by Enock, Vallin, and Lesieur,
whereas in the setting of $C^{*}$-algebras, a similar theory of locally compact
quantum groupoids could not yet be developed. Some basic building blocks for
such a theory, like analogues of a Hopf-von Neumann bimodule and of a
pseudo-multiplicative unitary, were introduced in the thesis and a recent
article by the author. That approach, however, is restricted to decomposable
quantum groupoids which generalize $r$-discrete groupoids. Recently, we
developed a general approach that covers all locally compact groupoids. In this
article, we explain how the special theory of our thesis embeds into the
general one.


title: Central limit theorem for sampled sums of dependent random variables

abstract:
  We prove a central limit theorem for linear triangular arrays under weak
dependence conditions. Our result is then applied to the study of dependent
random variables sampled by a $\bbZ$-valued transient random walk. This extends
the results obtained by Guillotin-Plantard & Schneider (2003). An application
to parametric estimation by random sampling is also provided.


title: The Baum-Connes conjecture for countable subgroups of SL(2)

abstract:
  We present an alternative approach to the result of Guentner, Higson, and
Weinberger concerning the Baum-Connes conjecture for finitely generated
subgroups of SL(2,C). Using finite-dimensional methods, we show that the
Baum-Connes assembly map for such groups is an isomorphism.


title:
Effects of interaction induced second Landau level mixing in the nu=1
  quantum Hall effect

abstract:
  Work by Mandal and Jain [S. S. Mandal and J. K. Jain, Solid State Commun.
118, 503 (2001)] suggests that interaction induced mixing with the second
composite fermion Landau level can lead to renormalization of the electron
correlation function exponent in the fractional quantum Hall effect. In the
work reported here a similar mixing with the second electronic Landau level is
studied in the nu=1 integer case. The ground state is calculated by use of the
Hartree-Fock algorithm, and the electron density and electron correlation
function on the edge are calculated. It is shown that the interaction gives
rise to oscillations in the density profile. In particular, a short range
interaction gives a profile qualitatively similar to the results reported by
Mandal and Jain. On the other hand, no renormalization of the correlation
function exponent is found.


title: Odd Scalar Curvature in Anti-Poisson Geometry

abstract:
  Recent works have revealed that the recipe for field-antifield quantization
of Lagrangian gauge theories can be considerably relaxed when it comes to
choosing a path integral measure \rho if a zero-order term \nu_{\rho} is added
to the \Delta operator. The effects of this odd scalar term \nu_{\rho} become
relevant at two-loop order. We prove that \nu_{\rho} is essentially the odd
scalar curvature of an arbitrary torsion-free connection that is compatible
with both the anti-Poisson structure E and the density \rho. This extends a
previous result for non-degenerate antisymplectic manifolds to degenerate
anti-Poisson manifolds that admit a compatible two-form.


title:
Entanglement between Two Uses of a Noisy Multipartite Quantum Channel
  Enables Perfect Transmission of Classical Information

abstract:
  Suppose that $m$ senders want to transmit classical information to $n$
receivers with zero probability of error using a noisy multipartite
communication channel. The senders are allowed to exchange classical, but not
quantum, messages among themselves, and the same holds for the receivers. If
the channel is classical, a single use can transmit information if and only if
multiple uses can. In sharp contrast, we exhibit, for each $m$ and $n$ with
$m\ge 2$ or $n\ge 2$, a quantum channel of which a single use is not able to
transmit information yet two uses can. This latter property requires and is
enabled by quantum entanglement.


title:
Constructing multi-player quantum games from non-factorizable joint
  probabilities

abstract:
  We use the standard three-party Einstein-Podolsky-Rosen (EPR) setting in
order to play general three-player non-cooperative symmetric games. We analyze
how the peculiar non-factorizable joint probabilities that may emerge in the
EPR setting can change outcome of the game. Our setup requires that the quantum
game attains classical interpretation for factorizable joint probabilities. We
analyze the generalized three-player game of Prisoner's Dilemma (PD) and show
that the players can indeed escape from the classical outcome of the game
because of non-factorizable joint probabilities. This result for three-player
PD contrasts strikingly with our earlier result for two-player PD for which
even non-factorizable joint probabilities are not found to be helpful to escape
from the classical outcome of the game.


title: Reaction rate uncertainties and 26Al in AGB silicon carbide stardust

abstract:
  Stardust is a class of presolar grains each of which presents an ideally
uncontaminated stellar sample. Mainstream silicon carbide (SiC) stardust formed
in the extended envelopes of carbon-rich asymptotic giant branch (AGB) stars
and incorporated the radioactive nucleus 26Al as a trace element. The aim of
this paper is to analyse in detail the effect of nuclear uncertainties, in
particular the large uncertainties of up to four orders of magnitude related to
the 26Al_g+(p,gamma)27Si reaction rate, on the production of 26Al in AGB stars
and compare model predictions to data obtained from laboratory analysis of SiC
stardust grains. Stellar uncertainties are also briefly discussed. We use a
detailed nucleosynthesis postprocessing code to calculate the 26Al/27Al ratios
at the surface of AGB stars of different masses (M = 1.75, 3, and 5 M_sun) and
metallicities (Z = 0.02, 0.012, and 0.008). For the lower limit and recommended
value of the 26Al_g(p,gamma)27Si reaction rate, the predicted 26Al/27Al ratios
replicate the upper values of the range of the 26Al/27Al ratios measured in SiC
grains. For the upper limit of the 26Al_g(p,gamma)27Si reaction rate, instead,
the predicted 26Al/27Al ratios are approximately 100 times lower and lie below
the range observed in SiC grains. When considering models of different masses
and metallicities, the spread of more than an order of magnitude in the
26Al/27Al ratios measured in stellar SiC grains is not reproduced. We propose
two scenarios to explain the spread of the 26Al/27Al ratios observed in
mainstream SiC, depending on the choice of the 26Al_g+p reaction rate. One
involves different times of stardust formation, the other involves extra-mixing
processes. Stronger conclusions will be possible after more information is
available from future nuclear experiments on the 26Al_g+p reaction.


title: Atom Interferometers

abstract:
  Interference with atomic and molecular matter waves is a rich branch of
atomic physics and quantum optics. It started with atom diffraction from
crystal surfaces and the separated oscillatory fields technique used in atomic
clocks. Atom interferometry is now reaching maturity as a powerful art with
many applications in modern science. In this review we first describe the basic
tools for coherent atom optics including diffraction by nanostructures and
laser light, three-grating interferometers, and double wells on AtomChips. Then
we review scientific advances in a broad range of fields that have resulted
from the application of atom interferometers. These are grouped in three
categories: (1) fundamental quantum science, (2) precision metrology and (3)
atomic and molecular physics. Although some experiments with Bose Einstein
condensates are included, the focus of the review is on linear matter wave
optics, i.e. phenomena where each single atom interferes with itself.


title: On a Hasse principle for Mordell-Weil groups

abstract:
  In this paper we establish a Hasse principle concerning the linear dependence
over $\Z$ of nontorsion points in the Mordell-Weil group of an abelian variety
over a number field.


title: Framework and Resources for Natural Language Parser Evaluation

abstract:
  Because of the wide variety of contemporary practices used in the automatic
syntactic parsing of natural languages, it has become necessary to analyze and
evaluate the strengths and weaknesses of different approaches. This research is
all the more necessary because there are currently no genre- and
domain-independent parsers that are able to analyze unrestricted text with 100%
preciseness (I use this term to refer to the correctness of analyses assigned
by a parser). All these factors create a need for methods and resources that
can be used to evaluate and compare parsing systems. This research describes:
(1) A theoretical analysis of current achievements in parsing and parser
evaluation. (2) A framework (called FEPa) that can be used to carry out
practical parser evaluations and comparisons. (3) A set of new evaluation
resources: FiEval is a Finnish treebank under construction, and MGTS and RobSet
are parser evaluation resources in English. (4) The results of experiments in
which the developed evaluation framework and the two resources for English were
used for evaluating a set of selected parsers.


title: Crystal growth and elasticity

abstract:
  The purpose of this paper is to review some elasticity effects in epitaxial
growth. We start by a description of the main ingredients needed to describe
elasticity effects (elastic interactions, surface stress, bulk and surface
elasticity, thermodynamics of stressed solids). Then we describe how bulk and
surface elasticity affect growth mode and surface morphology by means of
stress-driven instability. At last stress-strain evolution during crystal
growth is reported.


title:
On the realizations of high dimensional solenoids as attractors and as
  non-wondering sets

abstract: This paper will be splited into two papers and submited later.


title:
Transport properties of ybco thin films near the critical state with no
  applied field

abstract:
  Transport measurements carried out on twinned ybco films are compared to the
predictions of a previously proposed model suggesting that the vortices move
along the films twin boundaries that behave as rows of Josephson weak links
[P.Bernstein and J.F.Hamet, J.Appl.Phys.95 (2004) 2569]. The obtained results
suggest that, except if the films are very thin, the twin boundaries consist of
superimposed rows of weak links with mean height,ds, whose mean length along
the TBs is an universal function of T/Tc, the reduced temperature. This
conclusion yields a general expression for the critical surface current density
of the films as a function of T/Tc and of the number of superimposed weak links
rows, while the critical current density depends on ds. A comparison of the
measurements reported by various authors shows that the nature of the substrate
and the growth technique have both a strong effect on ds . The existence of
superimposed weak links rows is attributed to extended defects generated by
y2o3 inclusions.


title:
Complete calculations of the perihelion precession of Mercury and the
  deflection of light by the Sun in General Relativity

abstract:
  Taking up a method devised by Taylor and Wheeler and collecting pieces of
their work we offer a self-contained derivation of the formulae giving both the
precession of the orbit of a planet around the Sun and the deflection angle of
a light pulse passing near the Sun in the framework of General Relativity. The
demonstration uses only elementary algebra without resorting to tensor
formalism. No prior knowledge in relativity is needed to follow the
presentation.


title: Molecular Orbital Tomography using Short Laser Pulses

abstract:
  Recently, a method to image molecular electronic wave functions using high
harmonic generation (HHG) was introduced by Itatani \textit{et al.\} [Nature
{\textbf{432}}, 876 (2004)]. We show that, while the tomographic reconstruction
of general orbitals with arbitrary symmetry cannot be performed with long laser
pulses, this becomes possible when extremely short pulses are used. An
alternative reconstruction equation based on momentum matrix elements, rather
than on dipole matrix elements, is proposed. We present simulations of the
procedure for 2D model systems based on numerical solutions of the
time-dependent Schr\"{o}dinger equation, and present results from further
post-processing of the reconstructed orbitals.


title: A computational systems biology study of the lambda-lac mutants

abstract:
  We present a comprehensive computational study of some 900 possible
"lambda-lac" mutants of the lysogeny maintenance switch in phage lambda, of
which up to date 19 have been studied experimentally (Atsumi & Little, PNAS
103: 4558-4563, (2006)). We clarify that these mutants realise regulatory
schemes quite different from wild-type lambda, and can therefore be expected to
behave differently, within the conventional mechanistic setting in which this
problem has often been framed. We verify that indeed, within this framework,
across this wide selection of mutants the lambda-lac mutants for the most part
either have no stable lytic states, or should only be inducible with
difficulty. In particular, the computational results contradicts the
experimental finding that four lambda-lac mutants both show stable lysogeny and
are inducible. This work hence suggests either that the four out of 900 mutants
are special, or that lambda lysogeny and inducibility are holistic effects
involving other molecular players or other mechanisms, or both. The approach
illustrates the power and versatility of computational systems biology to
systematically and quickly test a wide variety of examples and alternative
hypotheses for future closer experimental studies.


title: Motion of Rydberg atoms induced by resonant dipole-dipole interactions

abstract:
  We show that nuclear motion of Rydberg atoms can be induced by resonant
dipole-dipole interactions that trigger the energy transfer between two
energetically close Rydberg states. How and if the atoms move depends on their
initial arrangement as well as on the initial electronic excitation. Using a
mixed quantum/classical propagation scheme we obtain the trajectories and
kinetic energies of atoms, initially arranged in a regular chain and prepared
in excitonic eigenstates. The influence of off-diagonal disorder on the motion
of the atoms is examined and it is shown that irregularity in the arrangement
of the atoms can lead to an acceleration of the nuclear dynamics.


title: Dynamic Phase Transitions in PVT Systems

abstract:
  The main objective of this article are two-fold. First, we introduce some
general principles on phase transition dynamics, including a new dynamic
transition classification scheme, and a Ginzburg-Landau theory for modeling
equilibrium phase transitions. Second, apply the general principles and the
recently developed dynamic transition theory to study dynamic phase transitions
of PVT systems. In particular, we establish a new time-dependent
Ginzburg-Landau model, whose dynamic transition analysis is carried out. It is
worth pointing out that the new dynamic transition theory, along with the
dynamic classification scheme and new time-dependent Ginzburg Landau models for
equilibrium phase transitions can be used in other phase transition problems,
including e.g. the ferromagnetism and superfluidity, which will be reported
elsewhere. In addition, the analysis for the PVT system in this article leads
to a few physical predications, which are otherwise unclear from the physical
point of view.


title: Atomistic and orthoatomistic effect algebras

abstract:
  We characterize atomistic effect algebras, prove that a weakly orthocomplete
Archimedean atomic effect algebra is orthoatomistic and present an example of
an orthoatomistic orthomodular poset that is not weakly orthocomplete.


title:
Causal viscous hydrodynamics in 2+1 dimensions for relativistic
  heavy-ion collisions

abstract:
  We explore the effects of shear viscosity on the hydrodynamic evolution and
final hadron spectra of Cu+Cu collisions at ultrarelativistic collision
energies, using the newly developed (2+1)-dimensional viscous hydrodynamic code
VISH2+1. Based on the causal Israel-Stewart formalism, this code describes the
transverse evolution of longitudinally boost-invariant systems without
azimuthal symmetry around the beam direction. Shear viscosity is shown to
decelerate the longitudinal and accelerate the transverse hydrodynamic
expansion. For fixed initial conditions, this leads to a longer quark-gluon
plasma (QGP) lifetime, larger radial flow in the final state, and flatter
transverse momentum spectra for the emitted hadrons compared to ideal fluid
dynamic simulations. We find that the elliptic flow coefficient v_2 is
particularly sensitive to shear viscosity: even the lowest value allowed by the
AdS/CFT conjecture, eta/s=1/4pi, suppresses v_2 enough to have significant
consequences for the phenomenology of heavy-ion collisions at the Relativistic
Heavy Ion Collider. A comparison between our numerical results and earlier
analytic estimates of viscous effects within a blast-wave model parametrization
of the expanding fireball at freeze-out reveals that the full dynamical theory
leads to much tighter constraints for the specific shear viscosity eta/s,
thereby supporting the notion that the quark-gluon plasma created at RHIC
exhibits almost ``perfect fluidity''.