title: Various analytic observations on combinations

abstract:
  E158 in the Enestrom index. Translation of the Latin original "Observationes
analyticae variae de combinationibus" (1741).
  This paper introduces the problem of partitions, or partitio numerorum (the
partition of integers). In the first part of the paper Euler looks at infinite
symmetric functions. He defines three types of series: the first denoted with
capital Latin letters are sums of powers, e.g. $A=a+b+c+...$,
$B=a^2+b^2+c^3+...$, etc.; the second denoted with lower case Greek letters are
the elementary symmetric functions; the third denoted with Germanic letters are
sums of all combinations of $n$ symbols, e.g. $\mathfrak{A}=a+b+c+...$ is the
series for $n=1$, $\mathfrak{B}=a^2+ab+b^2+ac+bc+c^2+...$ is the series for
$n=2$, etc.
  Euler proves a lot of relations between these series. He defines some
infinite products and proves some more relations between the products and these
series. Then in \S 17 he looks at the particular case where $a=n,b=n^2,c=n^3$
etc.
  In \S 19 he says the Naud\'e has proposed studying the number of ways to
break an integer into a certain number of parts. Euler proves his recurrence
relations for the number of partitions into a $\mu$ parts with repetition and
without repetition. Finally at the end of the paper Euler states the pentagonal
number theorem, but says he hasn't been able to prove it rigorously.


title: Bayesian Shrinkage Variable Selection

abstract: Withdrawn due to extensions and submission as another paper.


title: Sur l'ind\'ependance de l en cohomologie l-adique sur les corps locaux

abstract:
  Gabber deduced his theorem of independence of $l$ of intersection cohomology
from a general stability result over finite fields. In this article, we prove
an analogue of this general result over local fields. More precisely, we
introduce a notion of independence of $l$ for systems of complexes of $l$-adic
sheaves on schemes of finite type over a local field, equivariant under finite
groups. We establish its stability by Grothendieck's six operations and the
nearby cycle functor. Our method leads to a new proof of Gabber's theorem. We
also give a generalization to algebraic stacks.
  -----
  Gabber a d\'eduit son th\'eor\`eme d'ind\'ependance de $l$ de la cohomologie
l'intersection d'un r\'esultat g\'en\'eral de stabilit\'e sur les corps finis.
Dans cet article, nous d\'emontrons un analogue sur les corps locaux de ce
r\'esultat g\'en\'eral. Plus pr\'ecis\'ement, nous introduisons une notion
d'ind\'ependance de $l$ pour les syst\`emes de complexes de faisceaux
$l$-adiques sur les sch\'emas de type fini sur un corps local \'equivariants
sous des groupes finis et nous \'etablissons sa stabilit\'e par les six
op\'erations de Grothendieck et le foncteur des cycles proches. Notre m\'ethode
permet d'obtenir une nouvelle d\'emonstration du th\'eor\`eme de Gabber. Nous
donnons aussi une g\'en\'eralisation aux champs alg\'ebriques.


title: On the Axiomatics of Ann-Categories

abstract:
  In this paper, we have studied the axiomatics of {\it Ann-categories} and
{\it categorical rings.} These are the categories with distributivity
constraints whose axiomatics are similar with those of ring structures. The
main result we have achieved is proving the independence of the axiomatics of
Ann-category definition. And then we have proved that after adding an axiom
into the definition of categorical rings, we obtain the new axiomatics which is
equivalent to the one of Ann-categories.


title:
Cyclical period changes in HT Cas: a clear difference between systems
  above and below the period gap

abstract:
  We report the identification of cyclical changes in the orbital period of the
eclipsing cataclysmic variable HT Cas. We measured new white dwarf mid-eclipse
timings and combined with published measurements to construct an
observed-minus-calculated diagram covering 29 years of observations. The data
present cyclical variations that can be fitted by a linear plus sinusoidal
function with period 36 yr and semi-amplitude ~ 40 s. The statistical
significance of this period by an F-test is larger than 99.9 per cent. We
combine our results with those in the literature to revisit the issue of
cyclical period changes in cataclysmic variables and their interpretation in
terms of a solar-type magnetic activity cycle in the secondary star. A diagram
of fractional period change (Delta P/P) versus the angular velocity of the
active star (Omega) for cataclysmic variables, RS CVn, W UMa and Algols reveal
that close binaries with periods above the gap (secondaries with convective
envelopes) satisfy a relationship Delta P/P \propto Omega^{-0.7+/-0.1}.
Cataclysmic variables below the period gap (with fully convective secondaries)
deviate from this relationship by more than 3-sigma, with average fractional
period changes ~ 5 times smaller than those of the systems above the gap.


title:
Is the Equivalence Principle violated by Generalized Uncertainty
  Principles and Holography in a brane-world?

abstract:
  It has been recently debated whether a class of generalized uncertainty
principles that include gravitational sources of error are compatible with the
holographic principle in models with extra spatial dimensions. We had in fact
shown elsewhere that the holographic scaling is lost when more than four
space-time dimensions are present. However, we shall show here that the
validity of the holographic counting can be maintained also in models with
extra spatial dimensions, but at the intriguing price that the equivalence
principle for a point-like source be violated and the inertial mass differ from
the gravitational mass in a specific non-trivial way.


title:
Experimental Determination of Thermal Entanglement in Spin Clusters
  using Magnetic Susceptibility Measurements

abstract:
  The present work reports an experimental observation of thermal entanglement
in a clusterized spin chain formed in the compound Na$_2$Cu$_5$Si$_4$O$_{14}$.
The presence of entanglement was investigated through two measured quantities,
an Entanglement Witness and the Entanglement of Formation, both derived from
the magnetic susceptibility. It was found that pairwise entanglement exists
below $ \sim 200$ K. Tripartite entanglement was also observed below $ \sim
240$ K. A theoretical study of entanglement evolution as a function of applied
field and temperature is also presented.


title: The one-way function based on computational uncertainty principle

abstract:
  This paper presents how to make use of the advantage of round-off error
effect in some research areas. The float-point operation complies with the
reproduce theorem without the external random perturbation. The computation
uncertainty principle and the high nonlinear of chaotic system guarantee the
numerical error is random and departure from the analytical result. Combining
these two properties we can produce unilateral one-way function and provide a
case of utilizing this function to construct encryption algorithm. The
multiple-precision (MP) library is used to analyze nonlinear dynamics systems
and achieve the code. As an example, we provide a scheme of encrypting a
plaintext by employing the one-way function with Lorenz system. Since the
numerical solution used in this scheme is beyond the maximum effective
computation time (MECT) and it cannot satisfy the requirements of return-map
analysis and phase space reconstruction, it can block some existing attacks.


title: Reconstruction for Colorings on Trees

abstract:
  Consider $k$-colorings of the complete tree of depth $\ell$ and branching
factor $\Delta$. If we fix the coloring of the leaves, as $\ell$ tends to
$\infty$, for what range of $k$ is the root uniformly distributed over all $k$
colors? This corresponds to the threshold for uniqueness of the infinite-volume
Gibbs measure. It is straightforward to show the existence of colorings of the
leaves which ``freeze'' the entire tree when $k\le\Delta+1$. For
$k\geq\Delta+2$, Jonasson proved the root is ``unbiased'' for any fixed
coloring of the leaves and thus the Gibbs measure is unique. What happens for a
{\em typical} coloring of the leaves? When the leaves have a non-vanishing
influence on the root in expectation, over random colorings of the leaves,
reconstruction is said to hold. Non-reconstruction is equivalent to extremality
of the free-boundary Gibbs measure. When $k<\Delta/\ln{\Delta}$, it is
straightforward to show that reconstruction is possible and hence the measure
is not extremal.
  We prove that for $C>1$ and $k =C\Delta/\ln{\Delta}$, that the Gibbs measure
is extremal in a strong sense: with high probability over the colorings of the
leaves the influence at the root decays exponentially fast with the depth of
the tree. Closely related results were also proven recently by Sly. The above
strong form of extremality implies that a local Markov chain that updates
constant sized blocks has inverse linear entropy constant and hence $O(N\log
N)$ mixing time where $N$ is the number of vertices of the tree.


title: Geometric objects in an approach to quantum geometry

abstract:
  Ideas from deformation quantization applied to algebras with one generator
lead to methods to treat a nonlinear flat connection. It provides us elements
of algebras to be parallel sections. The moduli space of the parallel sections
is studied as an example of bundle-like objects with discordant (sogo)
transition functions, which suggests us to treat movable branching
singularities.


title:
Stability of Transonic Shock-Fronts in Three-Dimensional Conical Steady
  Potential Flow past a Perturbed Cone

abstract:
  For an upstream supersonic flow past a straight-sided cone in $\R^3$ whose
vertex angle is less than the critical angle, a transonic (supersonic-subsonic)
shock-front attached to the cone vertex can be formed in the flow. In this
paper we analyze the stability of transonic shock-fronts in three-dimensional
steady potential flow past a perturbed cone. We establish that the self-similar
transonic shock-front solution is conditionally stable in structure with
respect to the conical perturbation of the cone boundary and the upstream flow
in appropriate function spaces. In particular, it is proved that the slope of
the shock-front tends asymptotically to the slope of the unperturbed
self-similar shock-front downstream at infinity.


title:
Optical line profiles of the Helix planetary nebula (NGC 7293) to large
  radii

abstract:
  New, very long (25'), cuts of spatially resolved profiles of the Halpha and
[N II] optical emission lines have been obtained over the face of the Helix
planetary nebula, NGC 7293. These directions were chosen to supplement previous
similar, though shorter, cuts as well as crossing interesting phenomena in this
nebular envelope. In particular one new cut crosses the extremes of the
proposed CO J=2-1 emitting outer "torus" shown by Huggins and his co-workers to
be nearly orthogonal to its inner counterpart. The second new cut crosses the
extensive outer filamentary arcs on either side of the bright nebular core. It
is shown that NGC 7293 is composed of multiple bipolar outflows along different
axes. Hubble-type outflows over a dynamical timescale of 11,000 years are shown
to be occurring for all the phenomena from the smallest He II emitting core out
to the largest outer filamentary structure. All must then have been ejected
over a short timescale but with a range of ejection velocities


title: Star exponential functions as two-valued elements

abstract:
  We propose a relatively new notion of two-valued elements, which arises
naturally in constructing the star exponential functions of the quad-ratics in
the Weyl algebra over the complex number field. This notion enables us to
describe the group like objects of the set of star exponential functions of
quadratics in the Weyl algebra.


title: Simplicial cohomology of augmentation ideals in ${\ell}^1(G)$

abstract:
  Let $G$ be a discrete group. We give a decomposition theorem for the
Hochschild cohomology of $\ell^1(G)$ with coefficients in certain $G$-modules.
Using this we show that if $G$ is commutative-transitive, the canonical
inclusion of bounded cohomology of $G$ into simplicial cohomology of
$\ell^1(G)$ is an isomorphism.


title: Opportunity to study the LPM effect in oriented crystal at GeV energy

abstract:
  The spectral distribution of electron-positron pair created by photon and the
spectral distribution of photons radiated from high-energy electron in an
oriented single crystal is calculated using the method which permits
inseparable consideration both of the coherent and incoherent mechanisms of two
relevant processes. The method includes the action of field of axis (or plane)
as well as the multiple scattering of radiating electron or particles of the
created pair (the Landau-Pomeranchuk-Migdal (LPM) effect). The influence of
scattering on the coherent mechanism and the influence of field on the
incoherent mechanism are analyzed. In tungsten, axis $<111>$ for the pair
creation process at temperature T= 100 K the LPM effect attains 8 % at photon
energy 5 GeV and for the radiation process at T= 293 K the LPM effect reaches 6
% at electron energy 10 GeV.


title: Experimental charmonium decay results from BES

abstract:
  Based on 14 million psi(2S) and 58 million J/psi events collected by the
BESII detector, the leptonic decay of psi(2S) into $\tau^+\tau^-$, psi(2S)
multi-body decays, chi_cJ decays, and J/psi hadronic decays are studied, and
the branching fractions of these decays are reported. These results may shed
light on the understanding of QCD.


title: Weak vs. Self vs. Probabilistic Stabilization

abstract:
  Self-stabilization is a strong property that guarantees that a network always
resume correct behavior starting from an arbitrary initial state. Weaker
guarantees have later been introduced to cope with impossibility results:
probabilistic stabilization only gives probabilistic convergence to a correct
behavior. Also, weak stabilization only gives the possibility of convergence.
In this paper, we investigate the relative power of weak, self, and
probabilistic stabilization, with respect to the set of problems that can be
solved. We formally prove that in that sense, weak stabilization is strictly
stronger that self-stabilization. Also, we refine previous results on weak
stabilization to prove that, for practical schedule instances, a deterministic
weak-stabilizing protocol can be turned into a probabilistic self-stabilizing
one. This latter result hints at more practical use of weak-stabilization, as
such algorthms are easier to design and prove than their (probabilistic)
self-stabilizing counterparts.


title:
Static and dynamic structure factors in three-dimensional randomly
  diluted Ising models

abstract:
  We consider the three-dimensional randomly diluted Ising model and study the
critical behavior of the static and dynamic spin-spin correlation functions
(static and dynamic structure factors) at the paramagnetic-ferromagnetic
transition in the high-temperature phase. We consider a purely relaxational
dynamics without conservation laws, the so-called model A. We present Monte
Carlo simulations and perturbative field-theoretical calculations. While the
critical behavior of the static structure factor is quite similar to that
occurring in pure Ising systems, the dynamic structure factor shows a
substantially different critical behavior. In particular, the dynamic
correlation function shows a large-time decay rate which is momentum
independent. This effect is not related to the presence of the Griffiths tail,
which is expected to be irrelevant in the critical limit, but rather to the
breaking of translational invariance, which occurs for any sample and which, at
the critical point, is not recovered even after the disorder average.


title: Strong invariance principles for dependent random variables

abstract:
  We establish strong invariance principles for sums of stationary and ergodic
processes with nearly optimal bounds. Applications to linear and some nonlinear
processes are discussed. Strong laws of large numbers and laws of the iterated
logarithm are also obtained under easily verifiable conditions.


title: Derivations of Normalized Mutual Information in Binary Classifications

abstract:
  This correspondence studies the basic problem of classifications - how to
evaluate different classifiers. Although the conventional performance indexes,
such as accuracy, are commonly used in classifier selection or evaluation,
information-based criteria, such as mutual information, are becoming popular in
feature/model selections. In this work, we propose to assess classifiers in
terms of normalized mutual information (NI), which is novel and well defined in
a compact range for classifier evaluation. We derive close-form relations of
normalized mutual information with respect to accuracy, precision, and recall
in binary classifications. By exploring the relations among them, we reveal
that NI is actually a set of nonlinear functions, with a concordant
power-exponent form, to each performance index. The relations can also be
expressed with respect to precision and recall, or to false alarm and hitting
rate (recall).


title:
Entanglement growth and simulation efficiency in one-dimensional quantum
  lattice systems

abstract:
  We study the evolution of one-dimensional quantum lattice systems when the
ground state is perturbed by altering one site in the middle of the chain. For
a large class of models, we observe a similar pattern of entanglement growth
during the evolution, characterized by a moderate increase of significant
Schmidt coefficients in all relevant bipartite decompositions of the state. As
a result, the evolution can be accurately described by a matrix product state
and efficiently simulated using the time-evolving block decimation algorithm.


title:
Nonexistence of triples of nonisomorphic connected graphs with
  isomorphic connected $P_3$-graphs

abstract:
  In the paper "Broersma and Hoede, {\it Path graphs}, J. Graph Theory {\bf 13}
(1989) 427-444", the authors proposed a problem whether there is a triple of
mutually nonisomorphic connected graphs which have an isomorphic connected
$P_3$-graph. For a long time, this problem remains unanswered. In this paper,
we give it a negative answer that there is no such triple, and thus completely
solve this problem.


title: Twisted character of a small representation

abstract:
  This paper has been withdrawn by the author as it has already been submitted
under the title "Twisted character of a small Representation of GL(4)".


title: Scaling Law for Radius of Gyration and Its Dependence on Hydrophobicity

abstract:
  Scaling law for geometrical and dynamical quantities of biological molecules
is an interesting topic. According to Flory's theory, a power law between
radius of gyration and the length of homopolymer chain is found, with exponent
3/5 for good solvent and 1/3 for poor solvent. For protein in physiological
condition, a solvent condition in between, a power law with exponent ~2/5 is
obtained. In this paper, we present a unified formula to cover all above cases.
It shows that the scaling exponents are generally correlated with fractal
dimension of a chain under certain solvent condition. While applying our
formula to protein, the fractal dimension is found to depend on its
hydrophobicity. By turning a physical process-varying hydrophobicity of a chain
by amino acid mutation, to an equivalent chemical process-varying polarity of
solvent by adding polar or nonpolar molecules, we successfully deprive this
relation, with reasonable agreement to statistical data. And it will be helpful
for protein structure prediction. Our results indicate that the protein may
share the same basic principle with homopolymer, despite its specificity as a
heteropolymer.


title: Dynamics of magnetic topological solitons in soft magnetic nanostripes

abstract:
  The motions of domain walls driven by magnetic field in soft magnetic
nanostripes were calculated. The domain walls reveal steady motions in the low
fields and oscillations of their internal structure above a critical field. A
developed soliton model of the walls explains its dynamics by the motions of a
limited number of magnetic topological solitons such as vortex and antivortex.
We predict the reduced wall velocity and critical field in the low-field
regime, and increased wall-oscillation frequency in nanostripes, compared to 1D
Walker solution for bulk magnets. The critical field and velocity are
determined by the nanostripe sizes, whereas the oscillation frequency depends
only on the field strength.


abstract:
  Gap structure in noncentrosymmetric superconductors with spin-orbit band
splitting is studied using a microscopic model of pairing mediated by phonons
and/or spin fluctuations. The general form of pairing interaction in the band
representation is derived, which includes both the intraband and interband
pairing terms. In the case of isotropic interaction (in particular, for a
BCS-contact interaction), the interband pairing terms vanish identically at any
magnitude of the band splitting. The effects of pairing interaction anisotropy
are analyzed in detail for a metal of cubic symmetry with strong spin-orbit
coupling. It is shown that if phonons are dominant then the gaps in two bands
are isotropic, nodeless, and have in general different amplitudes. Applications
to the Li_2(Pd_{1-x},Pt_x)_3B family of noncentrosymmetric superconductors are
discussed.


title:
Search for a Dark Matter annihilation signal from the Sagittarius dwarf
  galaxy with H.E.S.S

abstract:
  Dwarf Spheroidal galaxies are amongst the best targets to search for a Dark
Matter annihilation signal. The annihilation of WIMPs in the center of
Sagittarius dwarf spheroidal (Sgr dSph) galaxy would produce high energy
gamma-rays in the final state. Observations carried out with the H.E.S.S. array
of Imaging Atmospheric Cherenkov telescopes are presented. A careful modelling
of the Dark Matter halo profile of Sgr dwarf was performed using latest
measurements on its structural parameters. Constraints on the velocity-weighted
cross section of Dark Matter particles are derived in the framework of
Supersymmetric and Kaluza-Klein models.


title: Charm Spectroscopy at BaBar

abstract:
  We present a mini-review on charm spectroscopy at the BaBar experiment. We
first report on the $c\bar{s}$ meson spectrum, and present precise measurements
of the $D_{s1}(2536)$ meson as well as the properties of the many new states
discovered since 2003 ($D_{s0}^*(2317)$, $D_{s1}(2460)$, $D_{sJ}^*(2860)$, and
$D_{sJ}(2700)$ mesons). We then discuss about charmed baryons observed recently
in the BaBar experiment: $\Omega_c^0$ and $\Omega_c^{*0}$ $css$ baryons,
$\Lambda_c(2940)^+$ $udc$ baryon and the $\Xi_c$ $usc/dsc$ baryons.


title:
Comment on "Efimov States and their Fano Resonances in a Neutron-Rich
  Nucleus"

abstract:
  By introducing a mass asymmetry in a non-Borromean three-body system, without
changing the energy relations, the virtual state pole cannot move from the
negative real axis of the complex energy plane (with nonzero width) and become
a resonance, because the analytical structure of the unitarity cuts remains the
same.


title: Continuous Axion Photon Duality and its Consequences

abstract:
  The axion photon system in an external magnetic field, when for example
considered with the geometry of the experiments exploring axion photon mixing,
displays a continuous axion-photon duality symmetry in the limit the axion mass
is neglected. The conservation law that follows from this symmetry is obtained.
The magnetic field interaction is seen to be equivalent to first order to the
interaction of a complex charged field with an external electric potential,
where this ficticious "electric potential" is proportional to the external
magnetic field. This allows to solve for the scattering amplitudes using
already known scalar QED results. It is argued that in more generic conditions
(not just related to these experiments) axion-photon condensation could be
obtained for high magnetic fields. Finally an exact constraint originating
fromthe current conservation on the amplitudes of reflected and transmited
waves is obtained.


title: Biased random walks on a Galton-Watson tree with leaves

abstract:
  We consider a biased random walk $X_n$ on a Galton-Watson tree with leaves in
the sub-ballistic regime. We prove that there exists an explicit constant
$\gamma= \gamma(\beta) \in (0,1)$, depending on the bias $\beta$, such that
$X_n$ is of order $n^{\gamma}$. Denoting $\Delta_n$ the hitting time of level
$n$, we prove that $\Delta_n/n^{1/\gamma}$ is tight. Moreover we show that
$\Delta_n/n^{1/\gamma}$ does not converge in law (at least for large values of
$\beta$). We prove that along the sequences $n_{\lambda}(k)=\lfloor \lambda
\beta^{\gamma k}\rfloor$, $\Delta_n/n^{1/\gamma}$ converges to certain
infinitely divisible laws. Key tools for the proof are the classical Harris
decomposition for Galton-Watson trees, a new variant of regeneration times and
the careful analysis of triangular arrays of i.i.d. heavy-tailed random
variables.


title:
Residual-based localization and quantification of peaks in x-ray
  diffractograms

abstract:
  We consider data consisting of photon counts of diffracted x-ray radiation as
a function of the angle of diffraction. The problem is to determine the
positions, powers and shapes of the relevant peaks. An additional difficulty is
that the power of the peaks is to be measured from a baseline which itself must
be identified. Most methods of de-noising data of this kind do not explicitly
take into account the modality of the final estimate. The residual-based
procedure we propose uses the so-called taut string method, which minimizes the
number of peaks subject to a tube constraint on the integrated data. The
baseline is identified by combining the result of the taut string with an
estimate of the first derivative of the baseline obtained using a weighted
smoothing spline. Finally, each individual peak is expressed as the finite sum
of kernels chosen from a parametric family.


title:
Regularity, Local and Microlocal Analysis in Theories of Generalized
  Functions

abstract:
  We introduce a general context involving a presheaf A and a subpresheaf B of
A. We show that all previously considered cases of local analysis of
generalized functions (defined from duality or algebraic techniques) can be
interpretated as the B-local analysis of sections of A. But the microlocal
analysis of the sections of sheaves or presheaves under consideration is
dissociated into a "frequential microlocal analysis " and into a "microlocal
asymptotic analysis". The frequential microlocal analysis based on the Fourier
transform leads to the study of propagation of singularities under only linear
(including pseudodifferential) operators in the theories described here, but
has been extended to some non linear cases in classical theories involving
Sobolev techniques. The microlocal asymptotic analysis can inherit from the
algebraic structure of B some good properties with respect to nonlinear
operations.


title:
The Age Distributions of Clusters and Field Stars in the Small
  Magellanic Cloud -- Implications for Star Formation Histories

abstract:
  Differences between the inferred star formation histories (SFHs) of star
clusters and field stars seem to suggest distinct star formation processes for
the two. The Small Magellanic Cloud (SMC) is an example of a galaxy where such
a discrepancy is observed. We model the observed age distributions of the SMC
clusters and field stars using a new population synthesis code, SPACE, that
includes stellar evolution, infant mortality and cluster dissolution. We find
that the two observed age distributions can be explained by a single SFH, thus
eliminating the need to assume two separate mechanisms for star formation.


title:
Mechanisms of proton-proton inelastic cross-section growth in
  multi-peripheral model within the framework of perturbation theory. Part 2

abstract:
  We demonstrate a new technique for calculating proton-proton inelastic
cross-section, which allows one by application of the Laplace' method replace
the integrand in the integral for the scattering amplitude in the vicinity of
the maximum point by expression of Gaussian type. This in turn, allows one to
overcome the computational difficulties for the calculation of the integrals
expressing the cross section to sufficiently large numbers of particles. We
have managed to overcome these problems in calculating the proton-proton
inelastic cross-section for production (n \le 8) number of secondary particles
in within the framework of \phi^3 model. As the result the obtained dependence
of inelastic cross-section and total scattering cross-section on the energy
\sqrt{s} are qualitative agrees with the experimental data. Such description of
total cross-section behavior differs considerably from existing now
description, where reggeons exchange with the intercept greater than unity is
considered.


title: Outilex, plate-forme logicielle de traitement de textes \'ecrits

abstract:
  The Outilex software platform, which will be made available to research,
development and industry, comprises software components implementing all the
fundamental operations of written text processing: processing without lexicons,
exploitation of lexicons and grammars, language resource management. All data
are structured in XML formats, and also in more compact formats, either
readable or binary, whenever necessary; the required format converters are
included in the platform; the grammar formats allow for combining statistical
approaches with resource-based approaches. Manually constructed lexicons for
French and English, originating from the LADL, and of substantial coverage,
will be distributed with the platform under LGPL-LR license.


title: A Short Proof of a Known Relation for Consecutive Power Sums

abstract:
  We give a new short proof of the most simple relation between consecutive
power sums of the first m positive integers.


title:
Old stellar counter-rotating components in elliptical-spiral mergers:
  exploring the GalMer database

abstract:
  We investigate, by means of numerical simulations, the kinematics of
elliptical-spiral merger remnants. Counterrotation can appear both in coplanar
and in non-coplanar retrograde mergers, and it is mostly associated to the
presence of a disk component, which preserves part of its initial spin. In
turn, the external regions of the two interacting galaxies acquire part of the
orbital angular momentum, due to the action of tidal forces.


title:
Maximum Principle for Linear-Convex Boundary Control Problems applied to
  Optimal Investment with Vintage Capital

abstract:
  The paper concerns the study of the Pontryagin Maximum Principle for an
infinite dimensional and infinite horizon boundary control problem for linear
partial differential equations. The optimal control model has already been
studied both in finite and infinite horizon with Dynamic Programming methods in
a series of papers by the same author, or by Faggian and Gozzi. Necessary and
sufficient optimality conditions for open loop controls are established.
Moreover the co-state variable is shown to coincide with the spatial gradient
of the value function evaluated along the trajectory of the system, creating a
parallel between Maximum Principle and Dynamic Programming. The abstract model
applies, as recalled in one of the first sections, to optimal investment with
vintage capital.


title: Standard Cosmological Evolution in a Wide Range of f(R) Models

abstract:
  Using techniques from singular perturbation theory, we explicitly calculate
the cosmological evolution in a class of modified gravity models. By
considering the (m)CDTT model, which aims to explain the current acceleration
of the universe with a modification of gravity, we show that Einstein evolution
can be recovered for most of cosmic history in at least one f(R) model. We show
that a standard epoch of matter domination can be obtained in the mCDTT model,
providing a sufficiently long epoch to satisfy observations. We note that the
additional inverse term will not significantly alter standard evolution until
today and that the solution lies well within present constraints from Big Bang
Nucleosynthesis. For the CDTT model, we analyse the ``recent radiation epoch''
behaviour (a \propto t^{1/2}) found by previous authors. We finally generalise
our findings to the class of inverse power-law models. Even in this class of
models, we expect a standard cosmological evolution, with a sufficient matter
domination era, although the sign of the additional term is crucial.


title: A deep XMM-Newton survey of M 31

abstract:
  The deep homogeneous survey of the large Local-Group spiral galaxy M 31 is a
milestone project for X-ray astronomy, as it allows a detailed X-ray inventory
of an archetypal low-star-formation-rate galaxy like our own. We present first
results of the deep XMM-Newton survey, which covers the entire D 25 ellipse.
Information from different X-ray energy bands are combined in an X-ray colour
image of M 31. In the first 15 observations we found about 1000 sources, the
full survey will yield about 2000 X-ray sources. Sources will be classified
using hardness ratios, extent, high quality spectra and time variability. In
addition the sources will be correlated with catalogues in optical, infra-red
and radio wavelengths. Our goal is to study M 31 X-ray binaries and globular
cluster sources, supersoft sources, supernova remnants and the hot interstellar
medium and separate them from foreground stars and background objects.


title: An asteroseismic study of the Delta Scuti star 44 Tau

abstract:
  In this paper we investigate theoretical pulsation models for the delta Scuti
star 44 Tau. The star was monitored during several multisite campaigns which
confirmed the presence of radial and nonradial oscillations. Moreover, its
exceptionally low rotational velocity makes 44 Tau particulary interesting for
an asteroseismic study. Due to the measured log g value of 3.6 +/- 0.1, main
sequence and post-main sequence models have to be considered. We perform mode
identification based on photometric and spectroscopic data. A nonadiabatic
pulsation code is used to compute models that fit the identified modes. The
influence of different opacity tables and element mixtures on the results is
tested. The observed frequencies of 44 Tau can be fitted in both the main
sequence and the post-main sequence evolutionary stage. Post-main sequence
models are preferable as they fulfill almost all observational constraints (fit
of observed frequencies, position in the HRD and instability range). These
models can be obtained with normal chemical composition which is in agreement
with recent spectroscopic measurements. The efficiency of envelope convection
(in the framework of the mixing-length theory) is predicted to be very low in
44 Tau. We show that the results are sensitive to the choice between the OPAL
and OP opacities. While the pulsation models of 44 Tau computed with OP
opacities are considerably too cool and too faint, the use of OPAL opacities
results in models within the expected temperature and luminosity range.


title: Some results on ideal impacts of billiard balls

abstract:
  We analyze the impact of two equal billiard balls in three ideal situations:
when the balls freely slide on the plane of the billiard, when they roll
without sliding and when one of them freely slides and the other rolls. In all
the cases we suppose that the contact between the balls is smooth. We base our
analysis on some recent general theoretical results on ideal impacts obtained
by means of Differential Geometric Impulsive Mechanics. We use symbolic
computation software to solve the computational difficulties arising by the
high number of degrees of freedom of the system. Some particular but
significative impacts, with opportunely assigned left velocities and positions
of the balls, are analyzed in details. The results admit easy interpretations
that turn out to be in good agreement with the reasonable forecasts and the
behaviours of real systems.


title: Prepotential approach to exact and quasi-exact solvabilities

abstract:
  Exact and quasi-exact solvabilities of the one-dimensional Schr\"odinger
equation are discussed from a unified viewpoint based on the prepotential
together with Bethe ansatz equations. This is a constructive approach which
gives the potential as well as the eigenfunctions and eigenvalues
simultaneously. The novel feature of the present work is the realization that
both exact and quasi-exact solvabilities can be solely classified by two
integers, the degrees of two polynomials which determine the change of variable
and the zero-th order prepotential. Most of the well-known exactly and
quasi-exactly solvable models, and many new quasi-exactly solvable ones, can be
generated by appropriately choosing the two polynomials. This approach can be
easily extended to the constructions of exactly and quasi-exactly solvable
Dirac, Pauli, and Fokker-Planck equations.


title: Analytic results for the three-sphere swimmer at low Reynolds number

abstract:
  The simple model of a low Reynolds number swimmer made from three spheres
that are connected by two arms is considered in its general form and analyzed.
The swimming velocity, force--velocity response, power consumption, and
efficiency of the swimmer are calculated both for general deformations and also
for specific model prescriptions. The role of noise and coherence in the stroke
cycle is also discussed.


title: q-deformed Lie algebras and fractional calculus

abstract:
  Fractional calculus and q-deformed Lie algebras are closely related. Both
concepts expand the scope of standard Lie algebras to describe generalized
symmetries. For the fractional harmonic oscillator, the corresponding q-number
is derived. It is shown, that the resulting energy spectrum is an appropriate
tool e.g. to describe the ground state spectra of even-even nuclei. In
addition, the equivalence of rotational and vibrational spectra for fractional
q-deformed Lie algebras is shown and the $B_\alpha(E2)$ values for the
fractional q-deformed symmetric rotor are calculated.


title:
High-pressure effects on the optical-absorption edge of CdIn2S4,
  MgIn2S4, and MnIn2S4 thiospinels

abstract:
  The effect of pressure on the optical-absorption edge of CdIn2S4, MgIn2S4,
and MnIn2S4 thiospinels at room temperature is investigated up to 20 GPa. The
pressure dependence of their band-gaps has been analyzed using the Urbach rule.
We have found that, within the pressure-range of stability of the low-pressure
spinel phase, the band-gap of CdIn2S4 and MgIn2S4 exhibits a linear blue-shift
with pressure, whereas the band-gap of MnIn2S4 exhibits a pronounced non-linear
shift. In addition, an abrupt decrease of the band-gap energies occurs in the
three compounds at pressures of 10 GPa, 8.5 GPa, and 7.2 GPa, respectively.
Beyond these pressures, the optical-absorption edge red-shifts upon compression
for the three studied thiospinels. All these results are discussed in terms of
the electronic structure of each compound and their reported structural
changes.


title: Harmonicity of sections of sphere bundles

abstract:
  We consider the energy functional on the space of sections of a sphere bundle
over a Riemannian manifold (M, <,>) equipped with the Sasaki metric and we
discuss the characterising condition for critical points. Likewise, we provide
a useful method for computing the tension field in some particular situations.
Such a method is shown to be adequate for many tensor fields defined on
manifolds M equipped with a G-structure compatible with <,>. This leads to the
construction of a lot of new examples of differential forms which are harmonic
sections or determine a harmonic map from (M,<,>) into its sphere bundle.


title:
Acoustic Features and Perceptive Cues of Songs and Dialogues in Whistled
  Speech: Convergences with Sung Speech

abstract:
  Whistled speech is a little studied local use of language shaped by several
cultures of the world either for distant dialogues or for rendering traditional
songs. This practice consists of an emulation of the voice thanks to a simple
modulated pitch. It is therefore the result of a transformation of the vocal
signal that implies simplifications in the frequency domain. The whistlers
adapt their productions to the way each language combines the qualities of
height perceived simultaneously by the human ear in the complex frequency
spectrum of the spoken or sung voice (pitch, timbre). As a consequence, this
practice underlines key acoustic cues for the intelligibility of the concerned
languages. The present study provides an analysis of the acoustic and phonetic
features selected by whistled speech in several traditions either in purely
oral whistles (Spanish, Turkish, Mazatec) or in whistles produced with an
instrument like a leaf (Akha, Hmong). It underlines the convergences with the
strategies of the singing voice to reach the audience or to render the phonetic
information carried by the vowel (tone, identity) and some aesthetic effects
like ornamentation.


title:
Trapped Fermi Gases in Rotating Optical Lattices: Realization and
  Detection of the Topological Hofstadter Insulator

abstract:
  We consider a gas of non-interacting spinless fermions in a rotating optical
lattice and calculate the density profile of the gas in an external confinement
potential. The density profile exhibits distinct plateaus, which correspond to
gaps in the single particle spectrum known as the Hofstadter butterfly. The
plateaus result from insulating behavior whenever the Fermi energy lies within
a gap. We discuss the necessary conditions to realize the Hofstadter insulator
in a cold atom setup and show how the quantized Hall conductance can be
measured from density profiles using the St\v{r}eda formula.


title: Poincare's Conjecture for three manifolds

abstract:
  We prove Poincare's Conjecture that every simply connected, closed
three-manifold is topologically equivalent to the three-sphere. The proof is
founded on the algebraic formulation discovered by J. Stallings.


title:
The net created from the Penrose tiling is biLipschitz to the integer
  lattice

abstract:
  A separated net is a set of points which is relatively dense and uniformly
discrete (another name for a Delone set). We are dealing with tilings and
separated nets in Euclidean spaces and with the question whether a given
separated net is biLipschitz to the integer lattice. In this paper we show, as
an answer to a question of Burago and Kleiner, that the net that is obtained
form the Penrose tiling is biLipschitz to the integer lattice.


title: Equations in a free group. Elementary theory

abstract: We prove the decidability of the elementary theory of a free group.


title:
Measurement of the $\beta^+$ and orbital electron-capture decay rates in
  fully-ionized, hydrogen-like, and helium-like $^{140}$Pr ions

abstract:
  We report on the first measurement of the $\beta^+$- and orbital electron
capture decay rates of $^{140}$Pr nuclei with the most simple electron
configurations: bare nuclei, hydrogen-like and helium-like ions. The measured
electron capture decay constant of hydrogen-like $^{140}$Pr$^{58+}$ ions is
about 50% larger than that of helium-like $^{140}$Pr$^{57+}$ ions. Moreover,
$^{140}$Pr ions with one bound electron decay faster than neutral
$^{140}$Pr$^{0+}$ atoms with 59 electrons. To explain this peculiar observation
one has to take into account the conservation of the total angular momentum,
since only particular spin orientations of the nucleus and of the captured
electron can contribute to the allowed decay.


title: Robustness of the European power grids under intentional attack

abstract:
  The power grid defines one of the most important technological networks of
our times and sustains our complex society. It has evolved for more than a
century into an extremely huge and seemingly robust and well understood system.
But it becomes extremely fragile as well, when unexpected, usually minimal,
failures turn into unknown dynamical behaviours leading, for example, to sudden
and massive blackouts. Here we explore the fragility of the European power grid
under the effect of selective node removal. A mean field analysis of fragility
against attacks is presented together with the observed patterns. Deviations
from the theoretical conditions for network percolation (and fragmentation)
under attacks are analysed and correlated with non topological reliability
measures.


title: Orbits of parabolic subgroups on metabelian ideals

abstract:
  We consider the action of a parabolic subgroup of the General Linear Group on
a metabelian ideal. For those actions, we classify actions with finitely many
orbits using methods from representation theory.


title: Thermal Hadronization, Hawking-Unruh Radiation and Event Horizon in QCD

abstract:
  Because of colour confinement, the physical vacuum forms an event horizon for
quarks and gluons; this can be crossed only by quantum tunneling, i.e., through
the QCD counterpart of Hawking radiation by black holes. Since such radiation
cannot transmit information to the outside, it must be thermal, of a
temperature determined by the strong force at the confinement surface, and it
must maintain colour neutrality. The resulting process provides a common
mechanism for thermal hadron production in high energy interactions, from
$e^+e^-$ annihilation to heavy ion collisions. The analogy with black-hole
event horizon suggests a dependence of the hadronization temperature on the
baryon density.


title: Dissipation due to fermions in inflaton equations of motion

abstract:
  According to quantum field theory, the inflaton equation of motion does not
have the local form that is generally assumed for cosmological purposes. In
particular, earlier investigations of the nonequilibrium dynamics of an
inflaton that decays into scalar particles suggest that the loss of inflaton
energy is not well approximated by the local friction term derived from linear
response theory. We extend this analysis to the case of an inflaton that decays
into fermions, and reach broadly the same conclusion.


title: Remote controlled-NOT gate of d-dimension

abstract:
  Single qubit rotation gate and the controlled-NOT (CNOT) gate constitute a
complete set of gates for universal quantum computation. In general the CNOT
gate are only for two nearby qubits. For two qubits which are remote from each
other, we need a series of swap gates to transfer these two qubits to the
nearest neighboring sites, and then after the CNOT gate we should transfer them
to their original sites again. However, a series of swap gates are resource for
quantum information processing. One economy way which does not consume so much
resource is to implement CNOT gate remotely. The remote CNOT gate is to
implement the CNOT gate for two remotely separated qubits with the help of one
additional maximally entangled state. The original remote CNOT gate is for two
qubits, here we will present the d-dimensional remote CNOT gate. The role of
quantum teleportation is identified in the process of the remote CNOT gate.


title: Using Entanglement in Quantum Multi-Prover Interactive Proofs

abstract:
  The central question in quantum multi-prover interactive proof systems is
whether or not entanglement shared between provers affects the verification
power of the proof system. We study for the first time positive aspects of
prior entanglement and show that entanglement is useful even for honest
provers. We show how to use shared entanglement to parallelize any multi-prover
quantum interactive proof system to a one-round system with perfect
completeness, with one extra prover. Alternatively, we can also parallelize to
a three-turn system with the same number of provers, where the verifier only
broadcasts the outcome of a coin flip. This "public-coin" property is somewhat
surprising, since in the classical case public-coin multi-prover interactive
proofs are equivalent to single prover ones.


title: Network synchronization of groups

abstract:
  In this paper we study synchronized motions in complex networks in which
there are distinct groups of nodes where the dynamical systems on each node
within a group are the same but are different for nodes in different groups.
Both continuous time and discrete time systems are considered. We initially
focus on the case where two groups are present and the network has bipartite
topology (i.e., links exist between nodes in different groups but not between
nodes in the same group). We also show that group synchronous motions are
compatible with more general network topologies, where there are also
connections within the groups.


title:
Measurement of Inclusive Jet Cross Sections in Z/g* (-> ee)+jets
  Production in ppbar Collisions at sqrt(s)=1.96 TeV

abstract:
  Inclusive jet cross sections in Z/gamma^* events, with Z/gamma^* decaying
into an electron-positron pair, are measured as a function of jet transverse
momentum and jet multiplicity in ppbar collisions at sqrt{s} = 1.96 TeV with
the upgraded Collider Detector at Fermilab in Run II, based on an integrated
luminosity of 1.7 fb^-1. The measurements cover the rapidity region | yjet | <
2.1 and the transverse momentum range ptjet > 30 GeV/c. Next-to-leading order
perturbative QCD predictions are in good agreement with the measured cross
sections.


title: A continuous non-linear shadowing model of columnar growth

abstract:
  We propose the first continuous model with long range screening (shadowing)
that described columnar growth in one space dimension, as observed in plasma
sputter deposition. It is based on a new continuous partial derivative equation
with non-linear diffusion and where the shadowing effects apply on all the
different processes.


title: Disordered ensembles of random matrices

abstract:
  It is shown that the families of generalized matrix ensembles recently
considered which give rise to an orthogonal invariant stable L\'{e}vy ensemble
can be generated by the simple procedure of dividing Gaussian matrices by a
random variable. The nonergodicity of this kind of disordered ensembles is
investigated. It is shown that the same procedure applied to random graphs
gives rise to a family that interpolates between the Erd\"{o}s-Renyi and the
scale free models.


title: How unusual was autumn 2006 in Europe?

abstract:
  The temperatures in large parts of Europe have been record high during the
meteorological autumn of 2006. Compared to 1961-1990, the 2m temperature was
more than three degrees Celsius above normal from the North side of the Alps to
southern Norway. This made it by far the warmest autumn on record in the United
Kingdom, Belgium, the Netherlands, Denmark, Germany and Switzerland, with the
records in Central England going back to 1659, in the Netherlands to 1706 and
in Denmark to 1768.
  Assuming that the mean of the temperature distribution changes proportional
to the global mean temperature, but the shape remains the same includes to
first order the effects of global warming. Even under this assumption the
autumn temperatures were very unusual, with estimates of the return time of 200
to 2000 years in this region. The lower bound of the 95% confidence interval is
more than 100 to 300 years.
  Climate models that simulate the current atmospheric circulation well
underestimate the observed mean rise in autumn temperatures. They do not
simulate a change in the shape of the distribution that would increase the
probability of warm events under global warming. This implies that the warm
autumn 2006 either was a very rare coincidence, or the local temperature rise
is much stronger than modelled, or non-linear physics that is missing from
these models increases the probability of warm extremes.


title: Dynamical analysis on heavy-ion fusion reactions near Coulomb barrier

abstract:
  The shell correction is proposed in the improved isospin dependent quantum
molecular dynamics (ImIQMD) model, which plays an important role in heavy-ion
fusion reactions near Coulomb barrier. By using the ImIQMD model, the static
and dynamical fusion barriers, dynamical barrier distribution in the fusion
reactions are analyzed systematically. The fusion and capture excitation
functions for a series of reaction systems are calculated and compared with
experimental data. It is found that the fusion cross sections for neutron-rich
systems increase obviously, and the strong shell effects of two colliding
nuclei result in a decrease of the fusion cross sections at the sub-barrier
energies. The lowering of the dynamical fusion barriers favors the enhancement
of the sub-barrier fusion cross sections, which is related to the nucleon
transfer and the neck formation in the fusion reactions.


title: The Hunting of the Hopf Ring

abstract:
  We provide a new algebraic description of the structure on the set of all
unstable cohomology operations for a suitable generalised cohomology theory,
E^*. Our description is as a graded and completed version of a Tall-Wraith
monoid. The E^*-cohomology of a space X is a module for this Tall-Wraith
monoid. We also show that the corresponding Hopf ring of unstable co-operations
is a module for the Tall-Wraith monoid of unstable operations. Further examples
are provided by considering operations from one theory to another.


title: Solar system tests of the cosmological constant

abstract:
  We discuss the influence of the cosmological constant $\Lambda$ on the
gravitational equations of motion of bodies with arbitrary masses and
eventually solve the two-body problem. Observational constraints are derived
from measurements of the periastron advance in stellar systems, in particular
binary pulsars and the solar system. For the latter we consider also the change
in the mean motion due to $\Lambda$. Up to now, Earth and Mars data give the
best constraint, $\Lambda \sim 10^{-36} \mathrm{km}^{-2}$. If properly
accounting for the gravito-magnetic effect, this upper limit on $\Lambda$ could
greatly improve in the near future thanks to new data from planned or already
operating space-missions. Dark matter or modifications of the Newtonian
inverse-square law in the solar system are discussed as well. Variations in the
$1/r^2$ behavior are considered in the form of either a possible Yukawa-like
interaction or a modification of gravity of MOND type.


title:
The Importance of Correlations and Fluctuations on the Initial Source
  Eccentricity in High-Energy Nucleus-Nucleus Collisions

abstract:
  In this paper, we investigate various ways of defining the initial source
eccentricity using the Monte Carlo Glauber (MCG) approach. In particular, we
examine the participant eccentricity, which quantifies the eccentricity of the
initial source shape by the major axes of the ellipse formed by the interaction
points of the participating nucleons. We show that reasonable variation of the
density parameters in the Glauber calculation, as well as variations in how
matter production is modeled, do not significantly modify the already
established behavior of the participant eccentricity as a function of collision
centrality. Focusing on event-by-event fluctuations and correlations of the
distributions of participating nucleons we demonstrate that, depending on the
achieved event-plane resolution, fluctuations in the elliptic flow magnitude
$v_2$ lead to most measurements being sensitive to the root-mean-square, rather
than the mean of the $v_2$ distribution. Neglecting correlations among
participants, we derive analytical expressions for the participant eccentricity
cumulants as a function of the number of participating nucleons,
$\Npart$,keeping non-negligible contributions up to $\ordof{1/\Npart^3}$. We
find that the derived expressions yield the same results as obtained from
mixed-event MCG calculations which remove the correlations stemming from the
nuclear collision process. Most importantly, we conclude from the comparison
with MCG calculations that the fourth order participant eccentricity cumulant
does not approach the spatial anisotropy obtained assuming a smooth nuclear
matter distribution. In particular, for the Cu+Cu system, these quantities
deviate from each other by almost a factor of two over a wide range in
centrality.


title:
Femtosecond non-equilibrium dynamics of clusters irradiated with short
  intense VUV pulses

abstract:
  The kinetic Boltzmann equation is used to model the non-equilibrium
ionization phase that initiates the evolution of atomic clusters irradiated
with single pulses of intense vacuum ultraviolet radiation. The duration of the
pulses is < 50 fs and their intensity in the focus is < 10^{14} W/cm^2. This
statistical model includes various processes contributing to the sample
dynamics at this particular radiation wavelength, and is computationally
efficient also for large samples. Two effects are investigated in detail: the
impact of the electron heating rate and the effect of the plasma environment on
the overall ionization dynamics. Results on the maximal ion charge, the average
ion charge and the average energy absorbed per atom estimated with this model
are compared to the experimental data obtained at the free-electron-laser
facility FLASH at DESY. Our analysis confirms that the dynamics within the
irradiated samples is complex, and the total ionization rate is the resultant
of various processes. In particular, within the theoretical framework defined
in this model the high charge states as observed in experiment cannot be
obtained with the standard heating rates derived with Coulomb atomic
potentials. Such high charge states can be created with the enhanced heating
rates derived with the effective atomic potentials. The modification of
ionization potentials by plasma environment is found to have less effect on the
ionization dynamics than the electron heating rate. We believe that our results
are a step towards better understanding the dynamics within the samples
irradiated with intense VUV radiation.


title: Let's get the student into the driver's seat

abstract:
  Speaking a language and achieving proficiency in another one is a highly
complex process which requires the acquisition of various kinds of knowledge
and skills, like the learning of words, rules and patterns and their connection
to communicative goals (intentions), the usual starting point. To help the
learner to acquire these skills we propose an enhanced, electronic version of
an age old method: pattern drills (henceforth PDs). While being highly regarded
in the fifties, PDs have become unpopular since then, partially because of
their lack of grounding (natural context) and rigidity. Despite these
shortcomings we do believe in the virtues of this approach, at least with
regard to the acquisition of basic linguistic reflexes or skills (automatisms),
necessary to survive in the new language. Of course, the method needs
improvement, and we will show here how this can be achieved. Unlike tapes or
books, computers are open media, allowing for dynamic changes, taking users'
performances and preferences into account. Building an electronic version of
PDs amounts to building an open resource, accomodatable to the users' ever
changing needs.


title: The iterated Aluthge transforms of a matrix converge

abstract:
  Given an $r\times r$ complex matrix $T$, if $T=U|T|$ is the polar
decomposition of $T$, then, the Aluthge transform is defined by $$ \Delta(T)=
|T|^{1/2} U |T |^{1/2}. $$ Let $\Delta^{n}(T)$ denote the n-times iterated
Aluthge transform of $T$, i.e. $\Delta^{0}(T)=T$ and
$\Delta^{n}(T)=\Delta(\Delta^{n-1}(T))$, $n\in\mathbb{N}$. We prove that the
sequence $\{\Delta^{n}(T)\}_{n\in\mathbb{N}}$ converges for every $r\times r$
matrix $T$. This result was conjecturated by Jung, Ko and Pearcy in 2003. We
also analyze the regularity of the limit function.


title: The fundamental group of period domains over finite fields

abstract: We determine the fundamental group of period domains over finite fields.


title:
Schwinger Representation for the Symmetric Group: Two explicit
  constructions for the Carrier Space

abstract:
  We give two explicit construction for the carrier space for the Schwinger
representation of the group $S_n$. While the first relies on a class of
functions consisting of monomials in antisymmetric variables, the second is
based on the Fock space associated with the Greenberg algebra.


title: Cloud formation in giant planets

abstract:
  We calculate the formation of dust clouds in atmospheres of giant
gas-planets. The chemical structure and the evolution of the grain size
distribution in the dust cloud layer is discussed based on a consistent
treatment of seed formation, growth/evaporation and gravitational settling.
Future developments are shortly addressed.


title:
Effects of relative phase and interactions on atom-laser outcoupling
  from a double-well Bose-Einstein condensate: Markovian and non-Markovian
  dynamics

abstract:
  We investigate aspects of the dynamics of a continuous atom-laser scheme
based on the merging of independently formed atomic condensates. Our
theoretical analysis covers the Markovian as well as the non-Markovian
operational regimes, and is based on a semiclassical (mean-field) two-mode
model. The role of the relative phase between the two condensates and the
effect of interatomic interactions on the evolution of the trapped populations
and the distribution of outcoupled atoms are discussed.


title: Quantum control using diabatic and adiabatic transitions

abstract:
  We exploit the concept of Landau-Zener transitions at avoided energy
crossings as a quantum-control tool. In an avoided crossing the two quantum
states interchange their characteristics as an external parameter is varied.
Depending on the rate of change of the parameter it is possible to control the
final state. We use this simple idea to travel along the energy spectrum of a
realistic system: two interacting electrons confined in a quasi-one-dimensional
semiconductor system.


title:
On a direct approach to quasideterminant solutions of a noncommutative
  modified KP equation

abstract:
  A noncommutative version of the modified KP equation and a family of its
solutions expressed as quasideterminants are discussed. The origin of these
solutions is explained by means of Darboux transformations and the solutions
are verified directly. We also verify directly an explicit connection between
quasideterminant solutions of the noncommutative mKP equation and the
noncommutative KP equation arising from the Miura transformation.


title:
The mid IR -- hard X-ray correlation in AGN and its implications for
  dusty torus models

abstract:
  Context: We investigate mid-infrared and X-ray properties of the dusty torus
invoked in the unification scenario for active galactic nuclei.
  Aims: We use the relation between mid IR and hard X-ray luminosities to
constrain the geometry and physical state of the dusty torus.
  Methods: We present new VISIR observations of 17 nearby AGN and combine these
with our earlier VISIR sample of 8 Seyfert galaxies. Combining these
observations with X-ray data from the literature we study the correlation
between their mid IR and hard X-ray luminosities.
  Results: A statistically highly significant correlation between the rest
frame 12.3 mircon (L_MIR) and 2-10 keV (L_X) luminosities is found.
Furthermore, with a probability of 97%, we find that Sy 1 and Sy 2 have the
same distribution of L_MIR over L_X.
  Conclusions: The high resolution of our MIR imaging allows us to exclude any
significant non-torus contribution to the AGN mid IR continuum,thereby implying
that the similarity in the L_MIR / L_X ratio between Sy 1s and Sy 2s is
intrinsic to AGN. We argue that this is best explained by clumpy torus models.
The slope of the correlation is in good agreement with the expectations from
the unified scenario and indicates little to no change of the torus geometry
with luminosity. In addition, we demonstrate that the high angular resolution
is crucial for AGN studies in the IR regime.


title: Local entanglement of multidimensional continuous-variable systems

abstract:
  We study the `local entanglement' remaining after filtering operations
corresponding to imperfect measurements performed by one or both parties, such
that the parties can only determine whether or not the system is located in
some region of space. The local entanglement in pure states of general
bipartite multidimensional continuous-variable systems can be completely
determined through simple expressions. We apply our approach to semiclassical
WKB systems, multi-dimensional harmonic oscillators, and a hydrogen atom as
three examples.


title:
The Chabauty space of closed subgroups of the three-dimensional
  Heisenberg group

abstract:
  When equipped with the natural topology first defined by Chabauty, the closed
subgroups of a locally compact group $G$ form a compact space $\Cal C(G)$. We
analyse the structure of $\Cal C(G)$ for some low-dimensional Lie groups,
concentrating mostly on the 3-dimensional Heisenberg group $H$. We prove that
$\Cal C(H)$ is a 6-dimensional space that is path--connected but not locally
connected. The lattices in $H$ form a dense open subset $\Cal L(H) \subset \Cal
C(H)$ that is the disjoint union of an infinite sequence of
pairwise--homeomorphic aspherical manifolds of dimension six, each a torus
bundle over $(\bold S^3 \smallsetminus T) \times \bold R$, where $T$ denotes a
trefoil knot. The complement of $\Cal L(H)$ in $\Cal C(H)$ is also described
explicitly. The subspace of $\Cal C(H)$ consisting of subgroups that contain
the centre $Z(H)$ is homeomorphic to the 4--sphere, and we prove that this is a
weak retract of $\Cal C(H)$.


title:
Anomalous scaling of conductance cumulants in one-dimensional Anderson
  localization

abstract:
  The mean and the variance of the logarithm of the conductance ($ln g$) in the
localized regime in the one-dimensional Anderson model are calculated
analytically for weak disorder, starting from the recursion relations for the
complex reflection- and transmission amplitudes. The exact recursion relation
for the reflection amplitudes is approximated by improved Born approximation
forms which ensure that averaged reflection coefficients tend asymptotically to
unity in the localized regime, for chain lengths $L=Na\to\infty$. In contrast
the familiar Born approximation of perturbation theory would not be adapted for
the localized regime since it constrains the reflection coefficient to be less
than one. The proper behaviour of the reflection coefficient (and of other
related reflection parameters) is responsible for various anomalies in the
cumulants of $\ln g$, in particular for the well-known band center anomaly of
the localization length. While a simple improved Born approximation is
sufficient for studying cumulants at a generic band energy, we find that a
generalized improved Born approximation is necessary to account satisfactorily
for numerical results for the band center anomaly in the mean of $\ln g$. For
the variance of $\ln g$ at the band center, we reveal the existence of a weak
anomalous quadratic term proportional to $L^2$, besides the previously found
anomaly in the linear term. At a generic band energy the variance of $\ln g$ is
found to be linear in $L$ and is given by twice the mean, up to higher order
corrections which are calculated. We also exhibit the $L=$independent offset
terms in the variance, which strongly depend on reflection anomalies.


title: Simplicial Hochschild cochains as an Amitsur complex

abstract:
  It is shown that the cochain complex of relative Hochschild A-valued cochains
of a depth two extension A | B under cup product is isomorphic as a
differential graded algebra with the Amitsur complex of the coring S = End
{}_BA_B over the centralizer R = A^B with grouplike element 1_S, which itself
is isomorphic to the Cartier complex of S with coefficients in the
(S,S)-bicomodule R^e. This specializes to finite dimensional algebras,
H-separable extensions and Hopf-Galois extensions.


title: When GRB afterglows get softer, hard components come into play

abstract:
  We aim to investigate the ability of simple spectral models to describe the
GRB early afterglow emission. We performed a time resolved spectral analysis of
a bright GRB sample detected by the Swift Burst Alert Telescope and promptly
observed by the Swift X-ray Telescope,with spectroscopically measured redshift
in the period April 2005 -- January 2007. The sample consists of 22 GRBs and a
total of 214 spectra. We restricted our analysis to the softest spectra
sub--sample which consists of 13 spectra with photon index > 3. In this sample
we found that four spectra, belonging to GRB060502A, GRB060729, GRB060904B,
GRB061110A prompt--afterglow transition phase, cannot be modeled neither by a
single power law nor by the Band model. Instead we find that the data present
high energy (> 3 keV, in the observer frame) excesses with respect to these
models. We estimated the joint statistical significance of these excesses at
the level of 4.3 sigma. In all four cases, the deviations can be modeled well
by adding either a second power law or a blackbody component to the usual
synchrotron power law spectrum. The additional power law would be explained by
the emerging of the afterglow, while the blackbody could be interpreted as the
photospheric emission from X-ray flares or as the shock breakout emission. In
one case these models leave a 2.2 sigma excess which can be fit by a Gaussian
line at the energy the highly ionized Nickel recombination. Although the data
do not allow an unequivocal interpretation, the importance of this analysis
consists in the fact that we show that a simple power law model or a Band model
are insufficient to describe the X-ray spectra of a small homogeneous sample of
GRBs at the end of their prompt phase.


title:
Study of size effects in thin films by means of a crystal plasticity
  theory based on DiFT

abstract:
  In a recent publication, we derived the mesoscale continuum theory of
plasticity for multiple-slip systems of parallel edge dislocations, motivated
by the statistical-based nonlocal continuum crystal plasticity theory for
single-glide due to Yefimov et al. (2004b). In this dislocation field theory
(DiFT) the transport equations for both the total dislocation densities and
geometrically necessary dislocation densities on each slip system were obtained
from the Peach-Koehler interactions through both single and pair dislocation
correlations. The effect of pair correlation interactions manifested itself in
the form of a back stress in addition to the external shear and the
self-consistent internal stress. We here present the study of size effects in
single crystalline thin films with symmetric double slip using the novel
continuum theory. Two boundary value problems are analyzed: (1) stress
relaxation in thin films on substrates subject to thermal loading, and (2)
simple shear in constrained films. In these problems, earlier discrete
dislocation simulations had shown that size effects are born out of layers of
dislocations developing near constrained interfaces. These boundary layers
depend on slip orientations and applied loading but are insensitive to the film
thickness. We investigate stress response to changes in controlled parameters
in both problems. Comparisons with previous discrete dislocation simulations
are discussed.


title:
Data assimilation as a nonlinear dynamical systems problem: Stability
  and convergence of the prediction-assimilation system

abstract:
  We study prediction-assimilation systems, which have become routine in
meteorology and oceanography and are rapidly spreading to other areas of the
geosciences and of continuum physics. The long-term, nonlinear stability of
such a system leads to the uniqueness of its sequentially estimated solutions
and is required for the convergence of these solutions to the system's true,
chaotic evolution. The key ideas of our approach are illustrated for a
linearized Lorenz system. Stability of two nonlinear prediction-assimilation
systems from dynamic meteorology is studied next via the complete spectrum of
their Lyapunov exponents; these two systems are governed by a large set of
ordinary and of partial differential equations, respectively. The degree of
data-induced stabilization is crucial for the performance of such a system.
This degree, in turn, depends on two key ingredients: (i) the observational
network, either fixed or data-adaptive; and (ii) the assimilation method.


title: Dynamic balancing of planar mechanisms using toric geometry

abstract:
  In this paper, a new method to determine the complete set of dynamically
balanced planar four-bar mechanims is presented. Using complex variables to
model the kinematics of the mechanism, the dynamic balancing constraints are
written as algebraic equations over complex variables and joint angular
velocities. After elimination of the joint angular velocity variables, the
problem is formulated as a problem of factorization of Laurent polynomials.
Using toric polynomial division, necessary and sufficient conditions for
dynamic balancing of planar four-bar mechanisms are derived.


title: Exclusive rho^0 electroproduction on the proton : GPDs or not GPDs ?

abstract:
  We discuss the interpretation of the $ep\to ep\rho^0$ process in terms of, on
the one hand, Generalized Parton Distributions and, on the other hand, an
effective hadronic model based on Regge theory.


title:
Homogeneous nucleation of dislocations as bifurcations in a periodized
  discrete elasticity model

abstract:
  A novel analysis of homogeneous nucleation of dislocations in sheared
two-dimensional crystals described by periodized discrete elasticity models is
presented. When the crystal is sheared beyond a critical strain $F=F_{c}$, the
strained dislocation-free state becomes unstable via a subcritical pitchfork
bifurcation. Selecting a fixed final applied strain $F_{f}>F_{c}$, different
simultaneously stable stationary configurations containing two or four edge
dislocations may be reached by setting $F=F_{f}t/t_{r}$ during different time
intervals $t_{r}$. At a characteristic time after $t_{r}$, one or two dipoles
are nucleated, split, and the resulting two edge dislocations move in opposite
directions to the sample boundary. Numerical continuation shows how
configurations with different numbers of edge dislocation pairs emerge as
bifurcations from the dislocation-free state.


title: Supersymmetry Inspired QCD Beta Function

abstract:
  We propose an all orders beta function for ordinary Yang-Mills theories with
or without fermions inspired by the Novikov-Shifman-Vainshtein-Zakharov beta
function of N=1 supersymmetric gauge theories. The beta function allows us to
bound the conformal window. When restricting to one adjoint Weyl fermion we
show how the proposed beta function matches the one of supersymmetric
Yang-Mills theory. The running of the pure Yang-Mills coupling is computed and
the deviation from the two loop result is presented. We then compare the
deviation with the one obtained from lattice data also with respect to the two
loop running.


title: Symmetries and Invariant Differential Pairings

abstract:
  The purpose of this article is to motivate the study of invariant, and
especially conformally invariant, differential pairings. Since a general theory
is lacking, this work merely presents some interesting examples of these
pairings, explains how they naturally arise, and formulates various associated
problems.


title:
Proving the Perdew-Burke-Ernzerhof density functional designed for
  metallic bulk and surface systems

abstract:
  We test the accuracy of the revised Perdew-Burke-Ernzerhof
exchange-correlation density functional (PBEsol) for metallic bulk and surface
systems. It is shown that, on average, PBEsol yields equilibrium volumes and
bulk moduli in close agreement with the former generalized gradient
approximation (PBE) and two gradient level functionals derived from model
system approach (LAG and AM05). On the other hand, for close-packed metal
surfaces, PBEsol has the same performance as AM05, giving significantly larger
surface energies than PBE and LAG.


title: On the effect of weak disorder on the density of states in graphene

abstract:
  The effect of weak potential and bond disorder on the density of states of
graphene is studied. By comparing the self-consistent non-crossing
approximation on the honeycomb lattice with perturbation theory on the Dirac
fermions, we conclude, that the linear density of states of pure graphene
changes to a non-universal power-law, whose exponent depends on the strength of
disorder like 1-4g/sqrt{3}t^2\pi, with g the variance of the Gaussian disorder,
t the hopping integral. This can result in a significant suppression of the
exponent of the density of states in the weak-disorder limit. We argue, that
even a non-linear density of states can result in a conductivity being
proportional to the number of charge carriers, in accordance with experimental
findings.


title: From massive gravity to dark matter density

abstract:
  Massive gravity previously constructed as the spin-2 quantum gauge theory is
studied in the classical limit. The vector-graviton field v which does not
decouple in the limit of vanishing graviton mass gives rise to a modification
of general relativity. The modified Schwarzschild solution contains a
contribution which can be interpreted as the dark mass density. We calculate
the density profile in the simplest spherically symmetric geometry.


title: Star polymers in correlated disorder

abstract:
  We analyze the impact of a porous medium (structural disorder) on the scaling
of the partition function of a star polymer immersed in a good solvent. We show
that corresponding scaling exponents change if the disorder is
long-range-correlated and calculate the exponents in the new universality
class. A notable finding is that star and chain polymers react in qualitatively
different manner on the presence of disorder: the corresponding scaling
exponents increase for chains and decrease for stars. We discuss the physical
consequences of this difference.


title: Triple GEM Detectors for the Forward Tracker in STAR

abstract:
  Future measurements of the flavor-separated spin structure of the proton via
parity-violating W boson production at RHIC require an upgrade of the forward
tracking system of the STAR detector. This upgrade will allow the
reconstruction of the charge sign of electrons and positrons produced from
decaying W bosons. A design based on six large area triple GEM disks using GEM
foils produced by Tech-Etch Inc. has emerged as a cost-effective solution to
provide the necessary tracking precision. We report first results from a beam
test of three test detectors using Tech-Etch produced GEM foils and a laser
etched two dimensional strip readout. The detectors show good operational
stability, high efficiency and a spacial resolution of around 70 um or better,
exceeding the requirements for the forward tracking upgrade. The influence of
the angle of incidence of the particles on the spatial resolution of the
detectors has also been studied in detail.


title:
Adsorption of Multi-block and Random Copolymer on a Solid Surface:
  Critical Behavior and Phase Diagram

abstract:
  The adsorption of a single multi-block $AB$-copolymer on a solid planar
substrate is investigated by means of computer simulations and scaling
analysis. It is shown that the problem can be mapped onto an effective
homopolymer adsorption problem. In particular we discuss how the critical
adsorption energy and the fraction of adsorbed monomers depend on the block
length $M$ of sticking monomers $A$, and on the total length $N$ of the polymer
chains. Also the adsorption of the random copolymers is considered and found to
be well described within the framework of the annealed approximation. For a
better test of our theoretical prediction, two different Monte Carlo (MC)
simulation methods were employed: a) off-lattice dynamic bead-spring model,
based on the standard Metropolis algorithm (MA), and b) coarse-grained lattice
model using the Pruned-enriched Rosenbluth method (PERM) which enables tests
for very long chains. The findings of both methods are fully consistent and in
good agreement with theoretical predictions.


title: Swift captures the spectrally evolving prompt emission of GRB 070616

abstract:
  The origins of Gamma-ray Burst prompt emission are currently not well
understood and in this context long, well-observed events are particularly
important to study. We present the case of GRB 070616, analysing the
exceptionally long-duration multipeaked prompt emission, and later afterglow,
captured by all the instruments on-board Swift and by Suzaku WAM. The high
energy light curve remained generally flat for several hundred seconds before
going into a steep decline. Spectral evolution from hard to soft is clearly
taking place throughout the prompt emission, beginning at 285 s after the
trigger and extending to 1200 s. We track the movement of the spectral peak
energy, whilst observing a softening of the low energy spectral slope. The
steep decline in flux may be caused by a combination of this strong spectral
evolution and the curvature effect. We investigate origins for the spectral
evolution, ruling out a superposition of two power laws and considering instead
an additional component dominant during the late prompt emission. We also
discuss origins for the early optical emission and the physics of the
afterglow. The case of GRB 070616 clearly demonstrates that both broadband
coverage and good time resolution are crucial to pin down the origins of the
complex prompt emission in GRBs.


title:
The trigger function of the space borne gamma-ray burst telescope
  ECLAIRs

abstract:
  Gamma-ray bursts (GRB) sign energetic explosions in the Universe, occurring
at cosmological distances. Multi-wavelength observations of GRB allow to study
their properties and to use them as cosmological tools. In 2012 the space borne
gamma-ray telescope ECLAIRs is expected to provide accurate GRB localizations
on the sky in near real-time, necessary for ground-based follow-up
observations. Led by CEA Saclay, France, the project is currently in its
technical design phase. ECLAIRs is optimized to detect highly red-shifted GRB
thanks to a 4 keV low energy threshold. A coded mask telescope with a 1024 cm^2
detection plane of 80x80 CdTe pixels permanently observes a 2 sr sky field. The
on-board trigger detects GRB using count-rate increase monitors on multiple
time-scales and cyclic images. It computes sky images in the 4-50 keV energy
range by de-convolving detector plane images with the mask pattern and
localizes newly detected sources with <10 arcmin accuracy. While individual GRB
photons are available hours later, GRB alerts are transmitted over a VHF
network within seconds to ground, in particular to robotic follow-up
telescopes, which refine GRB localizations to the level needed by large
spectroscopic telescopes. This paper describes the ECLAIRs concept, with
emphasis on the GRB triggering scheme.


title: Hadron production in $\psi$, $\eta_c$ and $\chi$ decays

abstract:
  We derive relations among branching fractions in the exclusive decay of
charmonia to light flavour meson pairs assuming factorization between the quark
spin and spatial degrees of freedom. With the further assumption that these
amplitudes can be described by flux-tube models, we assess prospects for
production of hybrid mesons in charmonium decays.


title: On the large N expansion in hyperbolic sigma-models

abstract:
  Invariant correlation functions for ${\rm SO}(1,N)$ hyperbolic sigma-models
are investigated. The existence of a large $N$ asymptotic expansion is proven
on finite lattices of dimension $d \geq 2$. The unique saddle point
configuration is characterized by a negative gap vanishing at least like 1/V
with the volume. Technical difficulties compared to the compact case are
bypassed using horospherical coordinates and the matrix-tree theorem.


title: Small-world hypergraphs on a bond-disordered Bethe lattice

abstract:
  We study the thermodynamic properties of spin systems with bond-disorder on
small-world hypergraphs, obtained by superimposing a one-dimensional Ising
chain onto a random Bethe graph with p-spin interactions. Using transfer-matrix
techniques, we derive fixed-point equations describing the relevant order
parameters and the free energy, both in the replica symmetric and one step
replica symmetry breaking approximation. We determine the static and dynamic
ferromagnetic transition and the spinglass transition within replica symmetry
for all temperatures, and demonstrate corrections to these results when one
step replica symmetry breaking is taken into account. The results obtained are
in agreement with Monte-Carlo simulations.


title: Microlensing constraints on the Galactic Bulge Initial Mass Function

abstract:
  Aims. We seek to probe the Galactic bulge IMF starting from microlensing
observations. Methods. We analyse the recent results of the microlensing
campaigns carried out towards the Galactic bulge presented by the EROS, MACHO
and OGLE collaborations. In particular, we study the duration distribution of
the events. We assume a power law initial mass function, $\xi(\mu)\propto
\mu^{-\alpha}$, and we study the slope $\alpha$ both in the brown dwarf and in
the main sequence ranges. Moreover, we compare the observed and expected
optical depth profiles. Results. The values of the mass function slopes are
strongly driven by the observed timescales of the microlensing events. The
analysis of the MACHO data set gives, for the main sequence stars, $\alpha=1.7
\pm 0.5$, compatible with the result we obtain with the EROS and OGLE data
sets, and a similar, though less constrained slope for brown dwarfs. The lack
of short duration events in both EROS and OGLE data sets, on the other hand,
only allows the determination of an \emph{upper} limit in this range of masses,
making the overall result less robust. The optical depth analysis gives a very
good agreement between the observed and the expected values, and we show that
the available data do not allow one to discriminate between different bulge
models.


title: Osculating properties of decomposable scrolls

abstract:
  Osculating spaces of decomposable scrolls (of any genus and not necessarily
normal)are studied and their inflectional loci are related to those of their
generating curves by using systematically an idea introduced by Piene and
Sacchiero in the setting of rational normal scrolls. In this broader setting
the extra components of the second discriminant locus - deriving from flexes -
are investigated and a new class of uninflected surface scrolls is presented
and characterized. Further properties related to osculation are discussed for
(not necessarily decomposable) scrolls.


title:
A new type of CP symmetry, family replication and fermion mass
  hierarchies

abstract:
  We study a two-Higgs-doublet model with four generalised CP symmetries in the
scalar sector. Electroweak symmetry breaking leads automatically to spontaneous
breaking of two of them. We require that these four CP symmetries can be
extended from the scalar sector to the full Lagrangian and call this
requirement the principle of maximal CP invariance. The Yukawa interactions of
the fermions are severely restricted by this requirement. In particular, a
single fermion family cannot be coupled to the Higgs fields. For two fermion
families, however, this is possible. Enforcing the absence of flavour-changing
neutral currents, we find degenerate masses in both families or one family
massless and one massive. In the latter case the Lagrangian is highly
symmetric, with the mass hierarchy being generated by electroweak symmetry
breaking. Adding a third family uncoupled to the Higgs fields and thus keeping
it massless we get a model which gives a rough approximation of some features
of the fermions observed in Nature. We discuss a number of predictions of the
model which may be checked in future experiments at the LHC.


title: Isospin Dynamics in Peripheral Heavy Ion Collisions at Fermi Energies

abstract:
  We present a detailed study of isospin dynamics in peripheral collisions at
Fermi energies. We consider symmetric and mixed collisions of (124,112)Sn
isotopes at 35 and 50 AMeV to study the isospin transport between the different
reaction components (residues, gas and possibly intermediate mass fragments)
and, in particular, the charge equilibration in the mixed system. We evaluate
the effects of drift terms due to asymmetry and density gradients, which are
directly related to the poorly known value and slope of the symmetry energy
below saturation density. We verify the importance of an isoscalar momentum
dependence of the mean field, which is found to influence the isospin transport
since it changes the reaction times. We finally suggest two observables
particularly sensitive to the isovector part of the nuclear equation-of-state:
the correlation between isospin equilibration and kinetic energy loss for
binary events, and the isospin content of the produced mid-rapidity fragments
for neck fragmentation events.


title: Universal Behavior of Quantum Walks with Long-Range Steps

abstract:
  Quantum walks with long-range steps $R^{-\gamma}$ ($R$ being the distance
between sites) on a discrete line behave in similar ways for all $\gamma\geq2$.
This is in contrast to classical random walks, which for $\gamma >3$ belong to
a different universality class than for $\gamma \leq 3$. We show that the
average probabilities to be at the initial site after time $t$ as well as the
mean square displacements are of the same functional form for quantum walks
with $\gamma=2$, 4, and with nearest neighbor steps. We interpolate this result
to arbitrary $\gamma\geq2$.


title: The quark-gluon plasma and D6-branes on the conifold

abstract:
  We investigate the possibility of constructing a supergravity background dual
to the quark-gluon plasma using D6-branes wrapping a three-cycle in the
deformed conifold. The UV-completion of this setup is given by M-theory on a G2
holonomy manifold. For the class of metrics considered we find that there are
only non-extremal D-brane solutions in the limit of the singular conifold with
the singularity being resolved by the D-brane horizon. The thermodynamic
properties of the system show some puzzling features, such as negative specific
heat at an unusual behavior of the entropy. Among the properties of the plasma
studied using this holographic dual are the quark-antiquark potential, the
shear viscosity and parton energy loss. While one finds the expected behavior
for the potential and the viscosity -- deconfinement and the universal
shear-viscosity to entropy ratio -- both the jet quenching parameter and the
calculation of the drag force lead us to the conclusion that there is no parton
energy loss in the dual plasma. Our results indicate that the background
constructed is not dual to a realistic QGP, yet we argue that this should
improve upon inclusion of the three-form gauge potential in the
eleven-dimensional background.


title:
The Posterior metric and the Goodness of Gibbsianness for transforms of
  Gibbs measures

abstract:
  We present a general method to derive continuity estimates for conditional
probabilities of general (possibly continuous) spin models sub jected to local
transformations. Such systems arise in the study of a stochastic time-evolution
of Gibbs measures or as noisy observations. We exhibit the minimal necessary
structure for such double-layer systems. Assuming no a priori metric on the
local state spaces, we define the posterior metric on the local image space. We
show that it allows in a natural way to divide the local part of the continuity
estimates from the spatial part (which is treated by Dobrushin uniqueness
here). We show in the concrete example of the time evolution of rotators on the
q-1 dimensional sphere how this method can be used to obtain estimates in terms
of the familiar Euclidean metric.


title:
MCMC Inference for a Model with Sampling Bias: An Illustration using
  SAGE data

abstract:
  This paper explores Bayesian inference for a biased sampling model in
situations where the population of interest cannot be sampled directly, but
rather through an indirect and inherently biased method. Observations are
viewed as being the result of a multinomial sampling process from a tagged
population which is, in turn, a biased sample from the original population of
interest. This paper presents several Gibbs Sampling techniques to estimate the
joint posterior distribution of the original population based on the observed
counts of the tagged population. These algorithms efficiently sample from the
joint posterior distribution of a very large multinomial parameter vector.
Samples from this method can be used to generate both joint and marginal
posterior inferences. We also present an iterative optimization procedure based
upon the conditional distributions of the Gibbs Sampler which directly computes
the mode of the posterior distribution. To illustrate our approach, we apply it
to a tagged population of messanger RNAs (mRNA) generated using a common
high-throughput technique, Serial Analysis of Gene Expression (SAGE).
Inferences for the mRNA expression levels in the yeast Saccharomyces cerevisiae
are reported.


title: Seismic Electric Signals and 1/f "noise" in natural time

abstract:
  By making use of the concept of natural time, a simple model is proposed
which exhibits the $1/f^a$ behavior with $a$ close to unity. The properties of
the model are compared to those of the Seismic Electric Signals (SES)
activities that have been found to obey the ubiquitous $1/f^a$ behavior with $a
\approx 1$. This comparison, which is made by using the most recent SES data,
reveals certain similarities, but the following important difference is found:
The model suggests that the entropy $S_-$ under time reversal becomes larger
compared to the entropy $S$ in forward time, thus disagreeing with the
experimental SES results which show that $S$ may be either smaller or larger
than $S_-$. This might be due to the fact that SES activities exhibit {\em
critical} dynamics, while the model cannot capture all the characteristics of
such dynamics.


title:
Low-energy effective representation of the Gutzwiller-projected BCS
  Hamiltonian close to half filling

abstract:
  We investigate analytically a connection between the t-J model and the
strongly correlated Bardeen-Cooper-Schrieffer (BCS) Hamiltonian, with the
effect of strong electron correlations accounted by the Gutzwiller projection.
We show that in the immediate vicinity of half filling the projected 2D BCS
Hamiltonian with strong pairing develops an antiferromagnetically (AF) ordered
ground state. This result explicitly demonstrates that antiferromagnetism in
this model appears as a natural consequence of the strong Coulomb repulsion in
a low doped regime. At moderate doping the ground state of the
Gutzwiller-projected BCS Hamiltonian becomes qualitatively similar to
Anderson's resonating valence bond state which is known to fit nicely the
properties of the t-J model in this regime. These two properties taken together
indicate that the projected BCS Hamiltonian captures the essential low-energy
physics of the t-J model in the whole underdoped region.


title: Convex-transitivity and function spaces

abstract:
  If X is a convex-transitive Banach space and 1\leq p\leq \infty then the
closed linear span of the simple functions in the Bochner space L^{p}([0,1],X)
is convex-transitive. If H is an infinite-dimensional Hilbert space and
C_{0}(L) is convex-transitive, then C_{0}(L,H) is convex-transitive. Some new
fairly concrete examples of convex-transitive spaces are provided.


title: Resonant Fibonacci Quantum Well Structures

abstract:
  We propose a resonant one-dimensional quasicrystal, namely, a multiple
quantum well (MQW) structure satisfying the Fibonacci-chain rule with the
golden ratio between the long and short inter-well distances. The resonant
Bragg condition is generalized from the periodic to Fibonacci MQWs. A
dispersion equation for exciton-polaritons is derived in the two-wave
approximation, the effective allowed and forbidden bands are found. The
reflection spectra from the proposed structures are calculated as a function of
the well number and detuning from the Bragg condition.


title: An S-brane solution with acceleration and small enough variation of G

abstract:
  An S-brane solution with two non-composite electric branes and a set of l
scalar fields is considered. The intersection rule for branes corresponds to
the Lie algebra A_2. The solution contains five factor spaces with the fifth
one interpreted as ``our'' 3-dimensional space. It is shown that there exists a
time interval where accelerating expansion of ``our'' 3-dimensional space is
compatible with small enough value of effective gravitational ``constant''
variation.


title: Propagation of light in area metric backgrounds

abstract:
  The propagation of light in area metric spacetimes, which naturally emerge as
refined backgrounds in quantum electrodynamics and quantum gravity, is studied
from first principles. In the geometric-optical limit, light rays are found to
follow geodesics in a Finslerian geometry, with the Finsler norm being
determined by the area metric tensor. Based on this result, and an
understanding of the non-linear relation between ray vectors and wave covectors
in such refined backgrounds, we study light deflection in spherically symmetric
situations, and obtain experimental bounds on the non-metricity of spacetime in
the solar system.


title: Three-Sphere Low Reynolds Number Swimmer with a Cargo Container

abstract:
  A recently introduced model for an autonomous swimmer at low Reynolds number
that is comprised of three spheres connected by two arms is considered when one
of the spheres has a large radius. The Stokes hydrodynamic flow associated with
the swimming strokes and net motion of this system can be studied analytically
using the Stokes Green's function of a point force in front of a sphere of
arbitrary radius $R$ provided by Oseen. The swimming velocity is calculated,
and shown to scale as $1/R^3$ with the radius of the sphere.