title:
Constraining the low energy pion electromagnetic form factor with
  space-like data

abstract:
  The pionic contribution to the g-2 of the muon involves a certain integral
over the the modulus squared of F_\pi(t), the pion electromagnetic form factor.
We extend techniques that use cut-plane analyticity properties of F_\pi(t) in
order to account for present day estimates of the pionic contribution and
experimental information at a finite number of points in the space-like region.
Using data from several experiments over a large kinematic range for |t|, we
find bounds on the expansion coefficients of F_\pi(t), sub-leading to the
charge radius. The value of one of these coefficients in chiral perturbation
theory respects these bounds. Furthermore, we present a sensitivity analysis to
the inputs. A brief comparison with results in the literature that use
observables other than the g-2 and timelike data is presented.


title: Dark Matter and Supersolidity

abstract:
  The origin of collisionless cold dark matter has been traced back to its
origin to the supersolid model of quantum vacuum.


title: Accretion Rates and Beaming in Ultraluminous X-ray Sources

abstract:
  I show that extreme beaming factors $b$ are not needed to explain ULXs as
stellar--mass binaries. For neutron star accretors one typically requires $b
\sim 0.13$, and for black holes almost no beaming ($b \sim 0.8$). The main
reason for the high apparent luminosity is the logarithmic increase in the
limiting luminosity for super--Eddington accretion. The required accretion
rates are explicable in terms of thermal--timescale mass transfer from donor
stars of mass $6 - 10\msun$, or possibly transient outbursts. Beaming factors
$\la 0.1$ would be needed to explain luminosities significantly above
$10^{40}L_{40}$ erg s$^{-1}$, but these requirements are relaxed somewhat if
the accreting matter has low hydrogen content.


title: Quantum Mechanics from Focusing and Symmetry

abstract:
  A foundation of quantum mechanics based on the concepts of focusing and
symmetry is proposed. Focusing is connected to c-variables - inaccessible
conceptually derived variables; several examples of such variables are given.
The focus is then on a maximal accessible parameter, a function of the common
c-variable. Symmetry is introduced via a group acting on the c-variable. From
this, the Hilbert space is constructed and state vectors and operators are
given a clear interpretation. The Born formula is proved from weak assumptions,
and from this the usual rules of quantum mechanics are derived. Several
paradoxes and other issues of quantum theory are discussed.


title:
Strong Linear Correlation Between Eigenvalues and Diagonal Matrix
  Elements

abstract:
  We investigate eigenvalues of many-body systems interacting by two-body
forces as well as those of random matrices. We find a strong linear correlation
between eigenvalues and diagonal matrix elements if both of them are sorted
from the smaller values to larger ones. By using this linear correlation we are
able to predict reasonably all eigenvalues of given shell model Hamiltonian
without complicated iterations.


title: QED radiative corrections to the decay pi^0 to e^+e^-

abstract:
  We reconsider QED radiative corrections (RC) to the $\pi^{0}\to e^{+}e^{-}$
decay width. One kind of RC investigated earlier has a renormalization group
origin and can be associated with the final state interaction of electron and
positron. It determines the distribution of lepton pair invariant masses in the
whole kinematic region. The other type of RC has a double-logarithmic character
and is related to almost on-mass-shell behavior of the lepton form factors. The
total effect of RC for the $\pi^{0}\to e^{+}e^{-}$ decay is estimated to be
3.2% and for the decay $\eta \to e^{+}e^{-}$ is 4.3%.


title: Higgs Boson Masses Of The MSSM With General Soft Breaking

abstract:
  The operators that break supersymmetry can be holomorphic or non-holomorphic
in structure. The latter do not pose any problem for gauge hierarchy and are
soft provided that the particle spectrum does not contain any gauge singlets.
In minimal supersymmetric model (MSSM) we discuss the impact of non-holomorphic
soft-breaking terms on the Higgs sector. We find that non-holomorphic operators
can cause significant changes as are best exhibited by the correlation between
the masses of the charginos and Higgs bosons.


title:
Phase-Space Volume of Regions of Trapped Motion: Multiple Ring
  Components and Arcs

abstract:
  The phase--space volume of regions of regular or trapped motion, for bounded
or scattering systems with two degrees of freedom respectively, displays
universal properties. In particular, sudden reductions in the phase-space
volume or gaps are observed at specific values of the parameter which tunes the
dynamics; these locations are approximated by the stability resonances. The
latter are defined by a resonant condition on the stability exponents of a
central linearly stable periodic orbit. We show that, for more than two degrees
of freedom, these resonances can be excited opening up gaps, which effectively
separate and reduce the regions of trapped motion in phase space. Using the
scattering approach to narrow rings and a billiard system as example, we
demonstrate that this mechanism yields rings with two or more components. Arcs
are also obtained, specifically when an additional (mean-motion) resonance
condition is met. We obtain a complete representation of the phase-space volume
occupied by the regions of trapped motion.


title: Lowest Eigenvalues of Random Hamiltonians

abstract:
  In this paper we present results of the lowest eigenvalues of random
Hamiltonians for both fermion and boson systems. We show that an empirical
formula of evaluating the lowest eigenvalues of random Hamiltonians in terms of
energy centroids and widths of eigenvalues are applicable to many different
systems (except for $d$ boson systems). We improve the accuracy of the formula
by adding moments higher than two. We suggest another new formula to evaluate
the lowest eigenvalues for random matrices with large dimensions (20-5000).
These empirical formulas are shown to be applicable not only to the evaluation
of the lowest energy but also to the evaluation of excited energies of systems
under random two-body interactions.


title: Diffusion of particles in an expanding sphere with an absorbing boundary

abstract:
  We study the problem of particles undergoing Brownian motion in an expanding
sphere whose surface is an absorbing boundary for the particles. The problem is
akin to that of the diffusion of impurities in a grain of polycrystalline
material undergoing grain growth. We solve the time dependent diffusion
equation for particles in a d-dimensional expanding sphere to obtain the
particle density function (function of space and time). The survival rate or
the total number of particles per unit volume as a function of time is
evaluated. We have obtained particular solutions exactly for the case where d=3
and a parabolic growth of the sphere. Asymptotic solutions for the particle
density when the sphere growth rate is small relative to particle diffusivity
and vice versa are derived.


title:
Analysis of a Gibbs sampler method for model based clustering of gene
  expression data

abstract:
  Over the last decade, a large variety of clustering algorithms have been
developed to detect coregulatory relationships among genes from microarray gene
expression data. Model based clustering approaches have emerged as
statistically well grounded methods, but the properties of these algorithms
when applied to large-scale data sets are not always well understood. An
in-depth analysis can reveal important insights about the performance of the
algorithm, the expected quality of the output clusters, and the possibilities
for extracting more relevant information out of a particular data set. We have
extended an existing algorithm for model based clustering of genes to
simultaneously cluster genes and conditions, and used three large compendia of
gene expression data for S. cerevisiae to analyze its properties. The algorithm
uses a Bayesian approach and a Gibbs sampling procedure to iteratively update
the cluster assignment of each gene and condition. For large-scale data sets,
the posterior distribution is strongly peaked on a limited number of
equiprobable clusterings. A GO annotation analysis shows that these local
maxima are all biologically equally significant, and that simultaneously
clustering genes and conditions performs better than only clustering genes and
assuming independent conditions. A collection of distinct equivalent
clusterings can be summarized as a weighted graph on the set of genes, from
which we extract fuzzy, overlapping clusters using a graph spectral method. The
cores of these fuzzy clusters contain tight sets of strongly coexpressed genes,
while the overlaps exhibit relations between genes showing only partial
coexpression.


title:
On the Boundedness of the Support of Optimal Input Measures for Rayleigh
  Fading Channels

abstract:
  We consider transmission over a wireless multiple antenna communication
system operating in a Rayleigh flat fading environment with no channel state
information at the receiver and the transmitter with coherence time T=1. We
show that, subject to the average power constraint, the support of the capacity
achieving input distribution is bounded. Moreover, we show by a simple example
concerning the identity theorem (or uniqueness theorem) from the complex
analysis in several variables that some of the existing results in the field
are not rigorous.


title:
Exact description of self-focusing in highly nonlinear geometrical
  optics

abstract:
  We demonstrate that laser beam collapse in highly nonlinear media can be
described, for a large number of experimental conditions, by the geometrical
optics approximation within high accuracy. Taking into account this fact we
succeed in constructing analytical solutions of the eikonal equation, which are
exact on the beam axis and provide: i) a first-principles determination of the
self-focusing position, thus replacing the widely used empirical Marburger
formula, ii) a benchmark solution for numerical simulations, and iii) a tool
for the experimental determination of the high-order nonlinear susceptibility.
Successful comparison with several experiments is presented.


title: Spectra and decays of hybrid charmonia

abstract:
  QCD string model is employed to calculate the masses and spin splittings of
lowest charmonium hybrid states with a magnetic gluon. Relative decay rates
into various S- and P-wave D-meson pairs are calculated for these hybrids.


title: Equatorial Imaging with e-MERLIN Including the Chilbolton Antenna

abstract:
  We discuss the equatorial imaging benefits that arise from the addition of
the 25-metre dish at Chilbolton to the e-MERLIN array. Its inclusion
considerably enhances the capabilities of e-MERLIN on and below the equator.
This will become particularly important in the era of ALMA and other upcoming
southern hemisphere facilities. We present simulated observations of point
sources in the equatorial region of the sky which is the target area for many
existing sky surveys. We find that the additional baselines created by the
inclusion of the Chilbolton dish favourably adjust the beam shape of e-MERLIN
to a more compact and circular shape, with significantly reduced sidelobe
structure. Putting aside the benefits of increased collecting area, the
modified beam shape has implications for more rapidly reaching a given
completeness limit for equatorial surveys.


title:
Biological Organization and Negative Entropy: Based on Schroedinger's
  reflections

abstract:
  This paper proposes a systemic perspective for some aspects of both
phylogenesis and ontogenesis, in the light of the notion of biological
organization as negative entropy, following some hints by Schroedinger. To this
purpose, we introduce two extra principles to the thermodynamic ones, which are
(mathematically) compatible with the traditional principles, but have no
meaning in inert matter. A traditional balance equation for metabolism will be
then extended to the new notion as specified by these principles. We consider
far from equilibrium systems and we focus in particular on the production of
global entropy associated to the irreversible character of the processes. A
close analysis of this term will be carried on, both in terms of a diffusion
equation of biomass over complexity and, as a complementary approach and as a
tool for specifying a source term, in connection to Schroedinger's method for
his equation in Quantum Mechanics. We borrow from this equation just the
operatorial approach and, this, in a classical frame, as we use real
coefficients instead of complex ones, away thus from the mathematical frame of
quantum theories. The first application of our proposal is a simple
mathematical reconstruction of Gould's complexity curve of biomass over
complexity, as for evolution. We then elaborate, from the existence of
different time scales, a partition of ontogenetic time, in reference to entropy
and negative entropy variation. On the grounds of this approach, we analyze
metabolism and scaling laws. This allows to compare various relevant
coefficients appearing in these scaling laws, which seem to fit empirical data.
Finally, a tentative and quantitative evaluation of complexity is proposed,
also in relation to some empirical data (caenorhabditis elegans).


title: The focal-plane instruments on board WSO-UV

abstract:
  Dedicated to spectroscopic and imaging observations of the ultraviolet sky,
the World Space Observatory for Ultraviolet Project is a Russia led
international collaboration presently involving also China, Germany, Italy,
Spain and Ukraine. The mission consists of a 1.7m telescope able to perform: a)
high resolution (R greater than 60000) spectroscopy by means of two echelle
spectrographs covering the 103-310 nm range; b) long slit (1x75 arcsec) low
resolution (R about 1500-2500) spectroscopy using a near-UV channel and a
far-UV channel to cover the 102-310nm range; c) deep UV and diffraction limited
UV and optical imaging (from 115 to 700 nm). Overall information on the project
and on its science objectives are given by other two papers in these
proceedings. Here we present the WSO-UV focal plane instruments, their status
of implementation, and the expected performances.


title: Aspects of Noncommutative Scalar/Tensor Duality

abstract:
  We study the noncommutative massless Kalb-Ramond gauge field coupled to a
dynamical U(1) gauge field in the adjoint representation together with a
compensating vector field. We derive the Seiberg-Witten map and obtain the
corresponding mapped action to first order in $\theta$. The (emergent) gravity
structure found in other situations is not present here. The off-shell dual
scalar theory is derived and it does not coincide with the Seiberg-Witten
mapped scalar theory. Dispersion relations are also discussed. The p-form
generalization of the Seiberg-Witten map to order $\theta $ is also derived.


title: Cosmological Implications of a Scale Invariant Standard Model

abstract:
  We generalize the standard model of particle physics such it displays global
scale invariance. The gravitational action is also suitably modified such that
it respects this symmetry. This model is interesting since the cosmological
constant term is absent in the action. We find that the scale symmetry is
broken by the recently introduced cosmological symmetry breaking mechanism.
This simultaneously generates all the dimensionful parameters such as the
Newton's gravitational constant, the particle masses and the vacuum or dark
energy. We find that in its simplest version the model predicts the Higgs mass
to be very small, which is ruled out experimentally. We further generalize the
model such that it displays local scale invariance. In this case the Higgs
particle disappears from the particle spectrum and instead we find a very
massive vector boson. Hence the model gives a consistent description of
particle physics phenomenology as well as fits the cosmological dark energy.


title: An Experiment of Research-Oriented Teaching/Learning

abstract:
  We introduce our experiment of research-oriented teaching mainly in Nanjing
University and Tsinghua University, China. The great population and enrollment
in China makes it worth to concern. It lasts 20 years and involves thousands of
students and hundreds of instructors, consultant experts. We tried many
characteristic styles such as integrated teaching and case analysis, open
resources, interactive mode, course paper program, elite solutions and so on.
The research on the contents is also placed on the agenda. Many students joined
research works that lead to PRL, APL, Nature, Science, and Cell papers. To
impart colleagues the essence we offered some examples in every session. We
declare the accomplishment of the experiment through this paper and new project
is programming.


title: Photoproduction in Ultra-Peripheral Heavy-Ion Collisions

abstract:
  The strong electromagnetic fields present in ultra-peripheral collisions of
heavy-ions offer a possibility to study two-photon and photonuclear collisions
complementary to similar studies with lepton beams but over an increased photon
energy range. This presentation will give an overview of photoproduction at
hadron colliders.


title:
Normal Modes and No Zero Mode Theorem of Scalar Fields in BTZ Black Hole
  Spacetime

abstract:
  Eigenfunctions for normal modes of scalar fields in BTZ black hole spacetime
are studied. Orthonormal relations among them are derived. Quantization for
scalar fields is done and particle number, energy and angular momentum are
expressed by the creation and annihilation operators. Allowed physical normal
mode region is studied on the basis of the no zero mode theorem. Its
implication to the statistical mechanics is also studied.


title:
Critical X-ray Scattering Studies of Jahn-Teller Phase Transitions in
  TbV$_{1-x}$As$_{x}$O$_{4}$

abstract:
  The critical behaviour associated with cooperative Jahn-Teller phase
transitions in TbV$_{1-x}$As$_{x}$O$_{4}$ (where \textit{x} = 0, 0.17, 1)
single crystals have been studied using high resolution x-ray scattering. These
materials undergo continuous tetragonal $\to$ orthorhombic structural phase
transitions driven by Jahn-Teller physics at T$_C$ = 33.26(2) K, 30.32(2) K and
27.30(2) K for \textit{x} = 0, 0.17 and 1 respectively. The orthorhombic strain
was measured close to the phase transition and is shown to display mean field
behavior in all three samples. Pronounced fluctuation effects are manifest in
the longitudinal width of the Bragg scattering, which diverges as a power law,
with an exponent given by $x=0.45 \pm 0.04$, on approaching the transition from
either above or below. All samples exhibited twinning; however the disordered x
= 0.17 sample showed a broad distribution of twins which were stable to
relatively low temperatures, well below T$_C$. This indicates that while the
orthorhombic strain continues to develop in a conventional mean field manner in
the presence of disorder, twin domains are easily pinned by the quenched
impurities and their associated random strains.


title:
Molecular symmetry effects in the ionization of CS$_2$ by intense,
  few-cycle laser pulses

abstract:
  Few-cycle pulses of intense 800 nm light are used to probe ionization and
dissociation of carbon disulfide in the intensity and temporal regime where
rescattering is expected to dominate the laser-molecule interaction. The
wavepacket of the rescattered electron destructively interferes with the
anti-bonding $\pi$-orbital of CS$_2^+$ such that rescattering is effectively
"switched off". Direct signature of enhanced ionization being "switched off" in
the ultrashort domain is also obtained. Consequently, dissociation becomes an
almost non-existent channel when few-cycle pulses are used, with only
long-lived singly-, doubly-, and triply-charged molecular ions dominating the
mass spectrum. Few-cycle optical pulses help reveal that quantum-mechanically
determined molecular symmetry contributes to strong field molecular ionization.


title: Numerical studies towards practical large-eddy simulation

abstract:
  Large-eddy simulation developments and validations are presented for an
improved simulation of turbulent internal flows. Numerical methods are proposed
according to two competing criteria: numerical qualities (precision and
spectral characteristics), and adaptability to complex configurations. First,
methods are tested on academic test-cases, in order to abridge with fundamental
studies. Consistent results are obtained using adaptable finite volume method,
with higher order advection fluxes, implicit grid filtering and "low-cost"
shear-improved Smagorinsky model. This analysis particularly focuses on mean
flow, fluctuations, two-point correlations and spectra. Moreover, it is shown
that exponential averaging is a promising tool for LES implementation in
complex geometry with deterministic unsteadiness. Finally, adaptability of the
method is demonstrated by application to a configuration representative of
blade-tip clearance flow in a turbomachine.


title: Numerical Implementation of Generalized Unitarity

abstract:
  We present a numerical implementation of generalized unitarity. We will show
that we are able to obtain the box coefficients of any 1 loop gluonic
amplitude, for an arbitrary helicity configuration and for any number of
external particles.


title: Nanothermomechanics

abstract:
  The paper concerns the dependence of thermomechanical properties of
three-dimensional solid nanoclusters on the cluster size as well as on its
shape. Investigations are restricted to the class of so-called homogeneous
thermodynamic processes with kinematics based on affine group and referred to
the one whole body, not an infinite system of subbodies. It is shown that then
the thermodynamics of nanoclusters is consistent with dynamics of
affinely-rigid bodies (constrained or not and elastic as well as admitting
viscosity effects). The main discussed top-ics are: (i) a group-theoretical
description of structurally stable solid nanoclusters; (ii) a phe-nomenological
model of mechanical properties of nanoclusters revealing the coexistence of
solid and liquid states in a finite interval of absolute temperature.


title: X-ray pushing of a mechanical microswing

abstract:
  Nanoelectromechanical Systems (NEMS) are among the best candidates to measure
interactions at nanoscale [1-6], especially when resonating oscillators are
used with high quality factor [7, 8]. Despite many efforts [9, 10], efficient
and easy actuation in NEMS remains an issue [11]. The mechanism that we
propose, thermally mediated Center Of Mass (COM) displacements, represents a
new actuation scheme for NEMS and MEMS. To demonstrate this scheme efficiency
we show how mechanical nanodis- placements of a MEMS is triggered using
modulated X-ray microbeams. The MEMS is a microswing constituted by a Ge
microcrystal attached to a Si microcantilever. The interaction is mediated by
the Ge absorption of the intensity modulated X-ray microbeam impinging on the
microcrystal. The small but finite thermal expansion of the Ge microcrystal is
large enough to force a nanodisplacement of the Ge microcrystal COM glued on a
Si microlever. The inverse mechanism can be envisaged: MEMS can be used to
shape X-ray beams. A Si microlever can be a high frequency X-ray beam chopper
for time studies in biology and chemistry.


title: Absolutely summing linear operators into spaces with no finite cotype

abstract:
  Given an infinite-dimensional Banach space $X$ and a Banach space $Y$ with no
finite cotype, we determine whether or not every continuous linear operator
from $X$ to $Y$ is absolutely $(q;p)$-summing for almost all choices of $p$ and
$q$, including the case $p=q$. If $X$ assumes its cotype, the problem is solved
for all choices of $p$ and $q$. Applications to the theory of dominated
multilinear mappings are also provided.


title: Calabi-Yau categories and Poincare duality spaces

abstract:
  The singular cochain complex of a topological space is a classical object. It
is a Differential Graded algebra which has been studied intensively with a
range of methods, not least within rational homotopy theory.
  More recently, the tools of Auslander-Reiten theory have also been applied to
the singular cochain complex. One of the highlights is that by these methods,
each Poincare duality space gives rise to a Calabi-Yau category. This paper is
a review of the theory.


title:
Hawking radiation in a $d$-dimensional static spherically-symmetric
  black Hole surrounded by quintessence

abstract:
  We present a solution of Einstein equations with quintessential matter
surrounding a $d$-dimensional black hole, whose asymptotic structures are
determined by the state of the quintessential matter. We examine the
thermodynamics of this black hole and find that the mass of the black hole
depends on the equation of state of the quintessence, while the first law is
universal. Investigating the Hawking radiation in this black hole background,
we observe that the Hawking radiation dominates on the brane in the low-energy
regime. For different asymptotic structures caused by the equation of state of
the quintessential matter surrounding the black hole, we learn that the
influences by the state parameter of the quintessence on Hawking radiation are
different.


title:
Conductance Switching and Inhomogeneous Field Melting in the Charge
  Ordered Manganites

abstract:
  The field induced switching of conductance in the charge ordered half-doped
manganites is controlled by the combination of metastability, an inhomogeneous
high field state, and cation disorder. We study this non-equilibrium problem
via real space Monte Carlo on a disordered strong coupling model appropriate to
the manganites. We reproduce the variation of the switching fields with the
mean ionic radius r_A and cation disorder \sigma_A, and demonstrate how the
experimental features arise from the proximity of several phases in the Landau
free energy landscape. Our prediction for the field melted state is consistent
with a growing body of experimental evidence.


title: Pseudosymmetric braidings, twines and twisted algebras

abstract:
  A laycle is the categorical analogue of a lazy cocycle. Twines (as introduced
by Bruguieres) and strong twines (as introduced by the authors) are laycles
satisfying some extra conditions. If $c$ is a braiding, the double braiding
$c^2$ is always a twine; we prove that it is a strong twine if and only if $c$
satisfies a sort of modified braid relation (we call such $c$ pseudosymmetric,
as any symmetric braiding satisfies this relation). It is known that symmetric
Yetter-Drinfeld categories are trivial; we prove that the Yetter-Drinfeld
category $_H{\cal YD}^H$ over a Hopf algebra $H$ is pseudosymmetric if and only
if $H$ is commutative and cocommutative. We introduce as well the Hopf
algebraic counterpart of pseudosymmetric braidings under the name
pseudotriangular structures and prove that all quasitriangular structures on
the $2^{n+1}$-dimensional pointed Hopf algebras E(n) are pseudotriangular. We
observe that a laycle on a monoidal category induces a so-called pseudotwistor
on every algebra in the category, and we obtain some general results (and give
some examples) concerning pseudotwistors, inspired by properties of laycles and
twines.


title:
Double and negative reflection of cold atoms in non-Abelian gauge
  potentials

abstract:
  Atom reflection is studied in the presence of a non-Abelian vector potential
proportional to a spin-1/2 operator. The potential is produced by a relatively
simple laser configuration for atoms with a tripod level scheme. We show that
the atomic motion is described by two different dispersion branches with
positive or negative chirality. As a consequence of that, atom reflection shows
unusual features, since an incident wave may split into two reflected ones at a
barrier, an ordinary specular reflection, and an additional non-specular one.
Remarkably, the latter wave can exhibit negative reflection and may become
evanescent if the angle of incidence exceeds a critical value. These reflection
properties are crucial for future designs in non-Abelian atom optics.


title: n-Groupoids and Stacky Groupoids

abstract:
  We discuss two generalizations of Lie groupoids. One consists of Lie
$n$-groupoids defined as simplicial manifolds with trivial $\pi_{k\geq n+1}$.
The other consists of stacky Lie groupoids $\cG\rra M$ with $\cG$ a
differentiable stack. We build a 1-1 correspondence between Lie 2-groupoids and
stacky Lie groupoids up to a certain Morita equivalence. We prove this in a
general set-up so that the statement is valid in both differential and
topological categories. \Equivalences of higher groupoids in various categories
are also described.


title: Structure of the extended Schrodinger-Virasoro Lie algebra

abstract:
  In this paper, we study the derivations, the central extensions and the
automorphism group of the extended Schrodinger-Virasoro Lie algebra, introduced
by J. Unterberger in the context of two-dimensional conformal field theory and
statistical physics. Moreover, we show that the extended Schrodinger-Virasoro
Lie algebra is an infinite-dimensional complete Lie algebra and the universal
central extension of the extended Schrodinger-Virasoro Lie algebra in the
category of Leibniz algebras is the same as that in the category of Lie
algebras.


title:
Monitoring the conformational dynamics of a single potassium transporter
  by ALEX-FRET

abstract:
  Conformational changes of single proteins are monitored in real time by
Forster-type resonance energy transfer, FRET. Two different fluorophores have
to be attached to those protein domains, which move during function. The
distance between the fluorophores is measured by relative fluorescence
intensity changes of FRET donor and acceptor fluorophore, or by fluorescence
lifetime changes of the FRET donor. The fluorescence spectrum of a single FRET
donor fluorophore is influenced by local protein environment dynamics causing
apparent fluorescence intensity changes on the FRET donor and acceptor detector
channels. To discriminate between those spectral fluctuations and
distance-dependent FRET, alternating pulsed excitation schemes (ALEX) have
recently been introduced which simultaneously probe the existence of a FRET
acceptor fluorophore. Here we employ single-molecule FRET measurements to a
membrane protein. The membrane-embedded KdpFABC complex transports potassium
ions across a lipid bilayer using ATP hydrolysis. Our study aims at the
observation of conformational fluctuations within a single P-type ATPase
functionally reconstituted into liposomes by single-molecule FRET and analysis
by Hidden-Markov-Models.


title:
The Transmission Property of the Discrete Heisenberg Ferromagnetic Spin
  Chain

abstract:
  We present a mechanism for displaying the transmission property of the
discrete Heisenberg ferromagnetic spin chain (DHF) via a geometric approach. By
the aid of a discrete nonlinear Schr\"odinger-like equation which is the
discrete gauge equivalent to the DHF, we show that the determination of
transmitting coefficients in the transmission problem is always bistable. Thus
a definite algorithm and general stochastic algorithms are presented. A new
invariant periodic phenomenon of the non-transmitting behavior for the DHF,
with a large probability, is revealed by an adoption of various stochastic
algorithms.


title: Exact Multi-Matrix Correlators

abstract:
  We argue that restricted Schur polynomials provide a useful parameterization
of the complete set of gauge invariant variables of multi-matrix models. The
two point functions of restricted Schur polynomials are evaluated exactly in
the free field theory limit. They have diagonal two point functions.


title: On the vacuum energy of a spherical plasma shell

abstract:
  We consider the vacuum energy of the electromagnetic field interacting with a
spherical plasma shell together with a model for the classical motion of the
shell. We calculate the heat kernel coefficients, especially that for the TM
mode, and carry out the renormalization by redefining the parameters of the
classical model. It turns out that this is possible and results in a model,
which in the limit of the plasma shell becoming an ideal conductor reproduces
the vacuum energy found by Boyer in 1968.


title: Anomaly Driven Cosmology: Big Boost Scenario and AdS/CFT Correspondence

abstract:
  We consider the cosmological evolution in a recently suggested new model of
quantum initial conditions for the Universe. The effective Friedmann equation
incorporates the effect of the conformal anomaly of quantum fields and,
interestingly, shows that their vacuum Casimir energy is completely screened
and does not gravitate. The cosmological evolution also features a new
mechanism for a cosmological acceleration stage. This stage is followed by a
big boost singularity -- a rapid growth up to infinity of the scale factor
acceleration parameter. We also briefly discuss the relation between our model,
the AdS/CFT correspondence and RS and DGP braneworlds.


title: Finite size effects for giant magnons on physical strings

abstract:
  Using finite gap methods, we find the leading order finite size corrections
for an arbitrary number of giant magnons on physical strings, where the sum of
the momenta is a multiple of 2\pi. Our results are valid for the
Hofman-Maldacena fundamental giant magnons as well as their dyonic
generalizations. The energy corrections turn out to be surprisingly simple,
especially if all the magnons are fundamental, and at leading order are
independent of the magnon flavors. We also show how to use the Bethe ansatz to
find finite size corrections for dyonic giant magnons with large R-charges.


title:
Multiple nearest-neighbor exchange model for the frustrated magnetic
  molecules Mo72Fe30 and Mo72Cr30

abstract:
  Our measurements of the differential susceptibility dM/dH of the frustrated
magnetic molecules Mo72Fe30 and Mo72Cr30 reveal a pronounced dependence on
magnetic field (H) and temperature (T) in the low H - low T regime, contrary to
the predictions of existing models. Excellent agreement with experiment is
achieved upon formulating a nearest-neighbor classical Heisenberg model where
the 60 nearest-neighbor exchange interactions in each molecule, rather than
being identical as has been assumed heretofore, are described by a
two-parameter probability distribution of values of the exchange constant. We
suggest that the probability distribution provides a convenient
phenomenological platform for summarizing the combined effects of multiple
microscopic mechanisms that disrupt the idealized picture of a Heisenberg model
based on a single value of the nearest-neighbor exchange constant.


title: High Energy Break-Up of Few-Nucleon Systems

abstract:
  We discus recent developments in theory of high energy two-body break-up
reactions of few-nucleon systems. The characteristics of these reactions are
such that the hard two-body quasielastic subprocess can be clearly separated
from the accompanying soft subprocesses. We discuss in details the hard
rescattering model (HRM) in which hard photodisintegration develops in two
stages. At first, photon knocks-out an energetic quark which rescatters
subsequently with a quark of the other nucleon. The latter provides a mechanism
of sharing the initial high momentum of the photon by the outgoing two
nucleons. Within HRM we discuss hard break-up reactions involving $^2D$ and
$^3He$ targets. Another development of HRM is the prediction of new helicity
selection mechanism for hard two-body reactions, which was apparently confirmed
in the recent JLab experiment.


title: On n-Perfect Rings and Cotorsion Dimension

abstract:
  A ring is called $n$-perfect ($n\geq 0$), if every flat module has projective
dimension less or equal than $n$. In this paper, we show that the
$n$-perfectness relate, via homological approach, some homological dimension of
rings. We study $n$-perfectness in some known ring constructions. Finally,
several examples of $n$-perfect rings satisfying special conditions are given.


title:
Atomic mass measurements of short-lived nuclides around the doubly-magic
  208Pb

abstract:
  Accurate atomic mass measurements of neutron-deficient and neutron-rich
nuclides around the doubly-magic 208Pb and of neutron-rich cesium isotopes were
performed with the Penning trap mass spectrometer ISOLTRAP at ISOLDE/CERN. The
masses of 145,147Cs, 181,183Tl, 186Tlm, 187Tl, 196Tlm, 205Tl, 197Pbm, 208Pb,
190 to 197Bi, 209,215,216Bi, 203,205,229Fr, and 214,229,230Ra were determined.
The obtained relative mass uncertainty in the range of $2 \cdot 10^{-7}$ to $2
\cdot 10^{-8}$ is not only required for safe identification of isomeric states
but also allows mapping the detailed structure of the mass surface. A mass
adjustment procedure was carried out and the results included into the Atomic
Mass Evaluation. The resulting separation energies are discussed and the mass
spectrometric and laser spectroscopic data are examined for possible
correlations.


title: Factored Value Iteration Converges

abstract:
  In this paper we propose a novel algorithm, factored value iteration (FVI),
for the approximate solution of factored Markov decision processes (fMDPs). The
traditional approximate value iteration algorithm is modified in two ways. For
one, the least-squares projection operator is modified so that it does not
increase max-norm, and thus preserves convergence. The other modification is
that we uniformly sample polynomially many samples from the (exponentially
large) state space. This way, the complexity of our algorithm becomes
polynomial in the size of the fMDP description length. We prove that the
algorithm is convergent. We also derive an upper bound on the difference
between our approximate solution and the optimal one, and also on the error
introduced by sampling. We analyze various projection operators with respect to
their computation complexity and their convergence when combined with
approximate value iteration.


title:
Joint behaviour of semirecursive kernel estimators of the location and
  of the size of the mode of a probability density function

abstract:
  Let $\theta$ and $\mu$ denote the location and the size of the mode of a
probability density. We study the joint convergence rates of semirecursive
kernel estimators of $\theta$ and $\mu$. We show how the estimation of the size
of the mode allows to measure the relevance of the estimation of its location.
We also enlighten that, beyond their computational advantage on nonrecursive
estimators, the semirecursive estimators are preferable to use for the
construction on confidence regions.


title: The optimality of the Boundedness Height Conjecture

abstract:
  We show that the Boundedness Height Conjecture is optimal; all varieties in a
power of an elliptic curve which do not satisfy the hypothesis neither satisfy
the thesis. The Bounded Height Conjecture is known to hold for varieties in a
power of an elliptic curve. We also present some examples and remarks.


title:
Bose-Einstein correlations and the stochastic scale of light hadrons
  emitter source

abstract:
  Based on quantum field theory at finite temperature we carried out new
results for two-particle Bose-Einstein correlation (BEC) function ${C_2}(Q)$ in
case of light hadrons. The important parameters of BEC function related to the
size of the emitting source, mean multiplicity, stochastic forces range with
the particle energy and mass dependence, and the temperature of the source are
obtained for the first time. Not only the correlation between identical hadrons
are explored but even the off-correlation between non-identical particles are
proposed. The correlations of two bosons in 4-momentum space presented in this
paper offer useful and instructive complimentary viewpoints to theoretical and
experimental works in multiparticle femtoscopy and interferometry measurements
at hadron colliders. This paper is the first one to the next opening series of
works concerning the searching of BEC with experimental data where the
parameters above mentioned will be retrieved.


title: Time translation of quantum properties

abstract:
  Based on the notion of time translation, we develop a formalism to deal with
the logic of quantum properties at different times. In our formalism it is
possible to enlarge the usual notion of context to include composed properties
involving properties at different times. We compare our results with the theory
of consistent histories.


title: The flux-tube phase transition and bound states at high temperatures

abstract:
  We consider the phase transition in the dual Yang-Mills theory at finite
temperature $T$. The phase transition is associated with a change (breaking) of
symmetry. The effective mass of the dual gauge field is derived as a function
of $T$-dependent gauge coupling constant. We investigate the analytical
criterion constraining the existence of a quark-antiquark bound state at
temperatures higher than the temperature of deconfinement.


title: Neutral bi-Hermitian Gray surfaces

abstract:
  The aim of this paper is to give examples of compact neutral 4-manifolds
$(M,g)$ whose Ricci tensor $\rho$ satisfies the relation $\nabla_X\rho(X,X)
=\frac13X\tau g(X,X)$. We present also a family of new Einstein bi-Hermitian
neutral metrics on ruled surfaces of genus $g>1$.


title:
Neutrino emission from a GRB afterglow shock during an inner supernova
  shock breakout

abstract:
  The observations of a nearby low-luminosity gamma-ray burst (GRB) 060218
associated with supernova SN 2006aj may imply an interesting astronomical
picture where a supernova shock breakout locates behind a relativistic GRB jet.
Based on this picture, we study neutrino emission for early afterglows of GRB
060218-like GRBs, where neutrinos are expected to be produced from photopion
interactions in a GRB blast wave that propagates into a dense wind.
Relativistic protons for the interactions are accelerated by an external shock,
while target photons are basically provided by the incoming thermal emission
from the shock breakout and its inverse-Compton scattered component. Because of
a high estimated event rate of low-luminosity GRBs, we would have more
opportunities to detect afterglow neutrinos from a single nearby GRB event of
this type by IceCube. Such a possible detection could provide evidence for the
picture described above.


title: The solid state phase transformation of potassium sulfate

abstract:
  Potassium sulfate single crystals that are grown from aqueous solutions lose
upon the first heating up to 1% of mass that is assumed to be water. This mass
loss occurs in the vicinity of the PT from orthorhombic to hexagonal K2SO4.
Only in the first heating run of K2SO4 that has not yet released water,
pretransitional thermal effects can be observed in the DTA curve. If K2SO4
crystals are grown from solutions containing 4 wt.% Cd, Cu, or Fe, only Cu or
Fe can be incorporated significantly with concentrations of several 0.1%. The
phase transformation temperature measured for such solid solutions depends on
the heating rate. For pure K2SO4, the phase transformation temperature is
independent on heating rate 581.3 deg. C and the enthalpy of transformation is
(5.8+/-0.2) kJ/mol.


title: On entropy growth and the hardness of simulating time evolution

abstract:
  The simulation of quantum systems is a task for which quantum computers are
believed to give an exponential speedup as compared to classical ones. While
ground states of one-dimensional systems can be efficiently approximated using
Matrix Product States (MPS), their time evolution can encode quantum
computations, so that simulating the latter should be hard classically.
However, one might believe that for systems with high enough symmetry, and thus
insufficient parameters to encode a quantum computation, efficient classical
simulation is possible. We discuss supporting evidence to the contrary: We
provide a rigorous proof of the observation that a time independent local
Hamiltonian can yield a linear increase of the entropy when acting on a product
state in a translational invariant framework. This criterion has to be met by
any classical simulation method, which in particular implies that every global
approximation of the evolution requires exponential resources for any MPS based
method.


title:
Observation of Non-Exponential Orbital Electron Capture Decays of
  Hydrogen-Like $^{140}$Pr and $^{142}$Pm Ions

abstract:
  We report on time-modulated two-body weak decays observed in the orbital
electron capture of hydrogen-like $^{140}$Pr$^{59+}$ and $^{142}$Pm$^{60+}$
ions coasting in an ion storage ring. Using non-destructive single ion,
time-resolved Schottky mass spectrometry we found that the expected exponential
decay is modulated in time with a modulation period of about 7 seconds for both
systems. Tentatively this observation is attributed to the coherent
superposition of finite mass eigenstates of the electron neutrinos from the
weak decay into a two-body final state.


title: The World Space Observatory (WSO-UV) - Current status

abstract:
  This paper reports on the current status of the World Space Observatory
WSO-UV, a space mission for UV astronomy, planned for launch at the beginning
of next decade. It is based on a 1.7 m telescope, with focal plane instruments
including high resolution spectrographs, long slit low resolution spectrographs
and imaging cameras.


title:
Propagation of localized optical waves in media with dispersion, in
  dispersionless media and in vacuum. Low diffractive regime

abstract:
  We present a systematic study on linear propagation of ultrashort laser
pulses in media with dispersion, dispersionless media and vacuum. The applied
method of amplitude envelopes gives the opportunity to estimate the limits of
slowly warring amplitude approximation and to describe an amplitude
integro-differential equation, governing the propagation of optical pulses in
single cycle regime. The well known slowly varying amplitude equation and the
amplitude equation for vacuum are written in dimensionless form. Three
parameters are obtained defining different linear regimes of the optical pulses
evolution. In contrast to previous studies we demonstrate that in femtosecond
region the nonparaxial terms are not small and can dominate over transverse
Laplacian. The normalized amplitude nonparaxial equations are solved using the
method of Fourier transforms. Fundamental solutions with spectral kernels
different from Fresnel one are found. One unexpected new result is the relative
stability of light pulses with spherical and spheroidal spatial form, when we
compare their transverse enlargement with the paraxial diffraction of lights
beam in air. It is important to emphasize here the case of light disks, i.e.
pulses whose longitudinal size is small with respect to the transverse one,
which in some partial cases are practically diffractionless over distances of
thousand kilometers. A new formula which calculates the diffraction length of
optical pulses is suggested.


title: Mertens' theorem for toral automorphisms

abstract:
  A dynamical Mertens' theorem for ergodic toral automorphisms with error term
O(N^{-1}) is found, and the influence of resonances among the eigenvalues of
unit modulus is examined. Examples are found with many more, and with many
fewer, periodic orbits than expected.


title: Geometric Gamma Max-Infinitely Divisible Models

abstract:
  A transformation of gamma max-infinitely divisible laws viz. geometric gamma
max-infinitely divisible laws is considered in this paper. Some of its
distributional and divisibility properties are discussed and a random time
changed extremal process corresponding to this distribution is presented. A new
kind of invariance (stability) under geometric maxima is proved and a max-AR(1)
model corresponding to it is also discussed.


title: Stellar populations in the Canis Major over-density

abstract:
  We performed a photometric multicolor survey of the core of the Canis Major
over-density at l 244, -8.0, reaching V = 22 and covering 0.3 x 1 degree. The
main aim is to unravel the complex mixture of stellar populations toward this
Galactic direction, where in the recent past important signatures of an
accretion event have been claimed to be detected. While our previous
investigations were based on disjointed pointings aimed at revealing the large
scale structure of the third Galactic Quadrant, we now focus on a complete
coverage of a smaller field centered on the Canis Major over-density. A large
wave-length baseline, in the UBVRI bands, allows us to build up a suite of
colour colour and colour magnitude diagrams, providing a much better diagnostic
tool to disentangle the stellar populations of the region. In fact, the simple
use of one colour magnitude diagram, widely employed in all the previous
studies defending the existence of the Canis Major galaxy, does not allow one
to separate the effects of the different parameters (reddening, age,
metallicity, and distance) involved in the interpretation of data, forcing to
rely on heavy modeling. In agreement with our previous studies in the same
general region of the Milky Way, we recognize a young stellar population
compatible with the expected structure and extension of the Local (Orion) and
Outer (Norma-Cygnus) spiral arms in the Third Galactic Quadrant. Moreover we
interpret the conspicuous intermediate-age metal poor population as belonging
to the Galactic thick disk, distorted by the effect of strong disk warping at
this latitude, and to the Galactic halo.


title: Some optimization problems for nonlinear elastic membranes

abstract:
  In this paper we study some optimization problems for nonlinear elastic
membranes. More precisely, we consider the problem of optimizing the cost
functional $\J(u)=\int_{\partial\Omega} f(x) u \rd \H^{N-1}$ over some
admissible class of loads $f$ where $u$ is the (unique) solution to the problem
$-\Delta_p u + |u|^{p-2}u = 0$ in $\Omega$ with $|\nabla u|^{p-2}u_\nu = f$ on
$\partial \Omega$.


title:
INTEGRAL SPI All-Sky View in Soft Gamma Rays: Study of Point Source and
  Galactic Diffuse Emissions

abstract:
  We have processed the data accumulated with INTEGRAL SPI during 4 years (~ 51
Ms) to study the Galactic ``diffuse'' emission morphology in the 20 keV to 8
MeV energy range. To achieve this objective, we have derived simultaneously an
all-sky census of emitting sources and images of the Galactic Ridge (GR)
emission. In the central radian, the resolved point source emission amounts to
88%, 91% and 68% of the total emission in the 25-50, 50-100 and 100-300 keV
domains respectively. We have compared the GR emission spatial distribution to
those obtained from CO and NIR maps, and quantified our results through
latitude and longitude profiles. Below 50 keV, the SPI data are better traced
by the latter, supporting a stellar origin for this emission. Furthermore, we
found that the GR emission spectrum follows a power law with a photon index ~
1.55 above 50 keV while an additional component is required below this energy.
This component shows a cutoff around 30 keV, reinforcing a stellar origin, as
proposed by Krivonos et al. (2007). The annihilation diffuse emission component
is extracted simultaneously, leading to the determination of the related
parameters (positronium flux and fraction). A specific discussion is devoted to
the annihilation line distribution since a significant emission is detected
over a region as large as ~80 degrees by ~10 degrees potentially associated
with the disk or halo surrounding the central regions of our Galaxy.


title:
Anisotropic Susceptibility of La_2-xSr_xCoO_4 related to the Spin States
  of Cobalt

abstract:
  We present a study of the magnetic susceptibility of La_2-xSr_xCoO_4 single
crystals in a doping range 0.3<=x<=0.8. Our data shows a pronounced magnetic
anisotropy for all compounds. This anisotropy is in agreement with a low-spin
ground state (S=0) of Co^3+ for x>=0.4 and a high-spin ground state (S=3/2) of
Co^2+. We compare our data with a crystal-field model calculation assuming
local moments and find a good description of the magnetic behavior for x>=0.5.
This includes the pronounced kinks observed in the inverse magnetic
susceptibility, which result from the anisotropy and low-energy excited states
of Co^2+ and are not related to magnetic ordering or temperature-dependent
spin-state transitions.


title:
Persistence of Wandering Intervals in Self-Similar Affine Interval
  Exchange Transformations

abstract:
  In this article we prove that given a self-similar interval exchange
transformation T, whose associated matrix verifies a quite general algebraic
condition, there exists an affine interval exchange transformation with
wandering intervals that is semi-conjugated to it. That is, in this context the
existence of Denjoy counterexamples occurs very often, generalizing the result
of M. Cobo in [C].


title:
Some explicit constructions of integral structures in quaternion
  algebras

abstract:
  Let B be an undefined quaternion algebra over Q. Following the explicit
chacterization of some Eichler orders in B given by Hashimoto, we define
explicit embeddings of these orders in some local rings of matrices; we
describe the two natural inclusions of an Eichler order of leven Nq in an
Eichler order of level N. Moreover we provide a basis for a chain of Eichler
orders in B and prove results about their intersection.


title: Dynamical excitation of space-time modes of compact objects

abstract:
  We discuss, in the perturbative regime, the scattering of Gaussian pulses of
odd-parity gravitational radiation off a non-rotating relativistic star and a
Schwarzschild Black Hole. We focus on the excitation of the $w$-modes of the
star as a function of the width $b$ of the pulse and we contrast it with the
outcome of a Schwarzschild Black Hole of the same mass. For sufficiently narrow
values of $b$, the waveforms are dominated by characteristic space-time modes.
On the other hand, for sufficiently large values of $b$ the backscattered
signal is dominated by the tail of the Regge-Wheeler potential, the
quasi-normal modes are not excited and the nature of the central object cannot
be established. We view this work as a useful contribution to the comparison
between perturbative results and forthcoming $w$-mode 3D-nonlinear numerical
simulation.


title:
Geometric phases and Bloch sphere constructions for SU(N), with a
  complete description of SU(4)

abstract:
  A two-sphere ("Bloch" or "Poincare") is familiar for describing the dynamics
of a spin-1/2 particle or light polarization. Analogous objects are derived for
unitary groups larger than SU(2) through an iterative procedure that constructs
evolution operators for higher-dimensional SU in terms of lower-dimensional
ones. We focus, in particular, on the SU(4) of two qubits which describes all
possible logic gates in quantum computation. For a general Hamiltonian of SU(4)
with 15 parameters, and for Hamiltonians of its various sub-groups so that
fewer parameters suffice, we derive Bloch-like rotation of unit vectors
analogous to the one familiar for a single spin in a magnetic field. The
unitary evolution of a quantal spin pair is thereby expressed as rotations of
real vectors. Correspondingly, the manifolds involved are Bloch two-spheres
along with higher dimensional manifolds such as a four-sphere for the SO(5)
sub-group and an eight-dimensional Grassmannian manifold for the general SU(4).
This latter may also be viewed as two, mutually orthogonal, real
six-dimensional unit vectors moving on a five-sphere with an additional phase
constraint.


title: Model for synchronizer of marked pairs in fork-join network

abstract:
  We introduce a model for synchronizer of marked pairs, which is a node for
joining results of parallel processing in two-branch fork-join queueing
network. A distribution for number of jobs in the synchronizer is obtained.
Calculations are performed assuming that: arrivals to the network form a
Poisson process, each branch operates like an M/M/N queueing system. It is
shown that a mean quantity of jobs in the synchronizer is bounded below by the
value, defined by parameters of the network (which contains the synchronizer)
and does not depend upon performance and particular properties of the
synchronizer. A domain of network parameters is found, where the flow of jobs
departing from the synchronizer does not manifest a statistically significant
difference from the Poisson type, despite the correlation between job flows
from both branches of the fork-join network.


title: Monitoring of charmed and beauty quark distributions in proton at LHC

abstract:
  A short review on charmed and beauty hadron production in the lepton deep
inelastic scattering off proton, in proton-proton and proton-antiproton
collisions at high energies is presented. It is shown that the existing
theoretical and experimental information on charmed and beauty quark
distributions in a proton is not satisfactory. A some procedure to study these
distributions at LHC energies is suggested.


title: Permutations and the Loop

abstract:
  We consider the one-loop two-point function for multi-trace operators in the
U(2) sector of \cN=4 supersymmetric Yang-Mills at finite N. We derive an
expression for it in terms of U(N) and S_{n+1} group theory data, where n is
the length of the operators. The Clebsch-Gordan operators constructed in
0711.0176, which are diagonal at tree level, only mix at one loop if you can
reach the same (n+1)-box Young diagram by adding a single box to each of the
n-box Young diagrams of their U(N) representations (which organise their
multi-trace structure). Similar results are expected for higher loops and for
other sectors of the global symmetry group.


title: Hamiltonian approach to geodesic image matching

abstract:
  This paper presents a generalization to image matching of the Hamiltonian
approach for planar curve matching developed in the context of group of
diffeomorphisms. We propose an efficient framework to deal with discontinuous
images in any dimension, for example 2D or 3D. In this context, we give the
structure of the initial momentum (which happens to be decomposed in a smooth
part and a singular part) thanks to a derivation lemma interesting in itself.
The second part develops a Hamiltonian interpretation of the variational
problem, derived from the optimal control theory point of view.


title:
Mixture of Fluids involving Entropy Gradients and Acceleration Waves in
  Interfacial Layers

abstract:
  Through an Hamiltonian action we write down the system of equations of
motions for a mixture of thermocapillary fluids under the assumption that the
internal energy is a function not only of the gradient of the densities but
also of the gradient of the entropies of each component. A Lagrangian
associated with the kinetic energy and the internal energy allows to obtain the
equations of momentum for each component and for the barycentric motion of the
mixture. We obtain also the balance of energy and we prove that the equations
are compatible with the second law of thermodynamics. Though the system is of
parabolic type, we prove that there exist two tangential acceleration waves
that characterize the interfacial motion. The dependence of the internal energy
of the entropy gradients is mandatory for the existence of this kind of waves.
The differential system is non-linear but the waves propagate without
distortion due to the fact that they are linearly degenerate (exceptional
waves).


title: The Recursion Theorem and Infinite Sequences

abstract:
  In this paper we use the Recursion Theorem to show the existence of various
infinite sequences and sets. Our main result is that there is an increasing
sequence e_0, e_1, e_2 .. such that W_{e_n}={e_{n+1}} for every n. Similarly,
we prove that there exists an increasing sequence such that
W_{e_n}={e_{n+1},e_{n+2},...} for every n. We call a nonempty computably
enumerable set A self-constructing if W_e=A for every e in A. We show that
every nonempty computable enumerable set which is disjoint from an infinite
computable set is one-one equivalent to a self-constructing set


title:
The d'Alembert-lagrange principle for gradient theories and boundary
  conditions

abstract:
  Motions of continuous media presenting singularities are associated with
phenomena involving shocks, interfaces or material surfaces. The equations
representing evolutions of these media are irregular through geometrical
manifolds. A unique continuous medium is conceptually simpler than several
media with surfaces of singularity. To avoid the surfaces of discontinuity in
the theory, we transform the model by considering a continuous medium taking
intoaccount more complete internal energies expressed in gradient developments
associated with the variables of state. Nevertheless, resulting equations of
motion are of an higher order than those of the classical models: they lead to
non-linear models associated with more complex integration processes on the
mathematical level as well as on the numerical point of view. In fact, such
models allow a precise study of singular zones when they have a non negligible
physical thickness. This is typically the case for capillarity phenomena in
fluids or mixtures of fluids in which interfacial zones are transition layers
between phases or layers between fluids and solid walls. Within the framework
of mechanics for continuous media, we propose to deal with the functional point
of view considering globally the equations of the media as well as the boundary
conditions associated with these equations. For this aim, we revisit the
d'Alembert-Lagrange principle of virtual works which is able to consider the
expressions of the works of forces applied to a continuous medium as a linear
functional value on a space of test functions in the form of virtual
displacements. At the end, we analyze examples corresponding to capillary
fluids. This analysis brings us to numerical or asymptotic methods avoiding the
difficulties due to singularities in simpler -but with singularities- models.


title: Spectral properties of ghost Neumann matrices

abstract:
  We continue the analysis of the ghost wedge states in the oscillator
formalism by studying the spectral properties of the ghost matrices of Neumann
coefficients. We show that the traditional spectral representation is not valid
for these matrices and propose a new heuristic formula that allows one to
reconstruct them from the knowledge of their eigenvalues and eigenvectors. It
turns out that additional data, which we call boundary data, are needed in
order to actually implement the reconstruction. In particular our result lends
support to the conjecture that there exists a ghost three strings vertex with
properties parallel to those of the matter three strings vertex.


title:
Disc evolution and the relationship between $L_{\rm acc}$ and $L_\ast$
  in T Tauri stars

abstract:
  We investigate the evolution of accretion luminosity $L_{\rm acc}$ and
stellar luminosity ${L_\ast}$ in pre-mainsequence stars. We make the assumption
that when the star appears as a Class II object, the major phase of accretion
is long past, and the accretion disc has entered its asymptotic phase. We use
an approximate stellar evolution scheme for accreting pre-mainsequence stars
based on Hartmann, Cassen & Kenyon, 1997. We show that the observed range of
values $k = L_{\rm acc}/L_\ast$ between 0.01 and 1 can be reproduced if the
values of the disc mass fraction $M_{\rm disc}/M_*$ at the start of the T Tauri
phase lie in the range 0.01 -- 0.2, independent of stellar mass. We also show
that the observed upper bound of $L_{\rm acc} \sim L_\ast$ is a generic feature
of such disc accretion. We conclude that as long as the data uniformly fills
the region between this upper bound and observational detection thresholds,
then the degeneracies between age, mass and accretion history severely limit
the use of this data for constraining possible scalings between disc properties
and stellar mass.


title: Thermal fracture as a framework for quasi-static crack propagation

abstract:
  We address analytically and numerically the problem of crack path prediction
in the model system of a crack propagating under thermal loading. We show that
one can explain the instability from a straight to a wavy crack propagation by
using only the principle of local symmetry and the Griffith criterion. We then
argue that the calculations of the stress intensity factors can be combined
with the standard crack propagation criteria to obtain the evolution equation
for the crack tip within any loading configuration. The theoretical results of
the thermal crack problem agree with the numerical simulations we performed
using a phase field model. Moreover, it turns out that the phase-field model
allows to clarify the nature of the transition between straight and oscillatory
cracks which is shown to be supercritical.


title:
Supersymmetric inflation and baryogenesis via Extra-Flat directions of
  the MSSM

abstract:
  One interpretation of proton stability is the existence of extra-flat
directions of the MSSM, in particular $u^{c}u^{c}d^{c}e^{c}$ and $QQQL$, where
the operators lifting the potential are suppressed by a mass scale $\Lambda$
which is much larger than the Planck mass, $ \Lambda \gae 10^{26} \GeV$. Using
D-term hybrid inflation as an example, we show that such flat directions can
serve as the inflaton in SUSY inflation models. The resulting model is a
minimal version of D-term inflation which requires the smallest number of
additional fields. In the case where $Q$-balls form from the extra-flat
direction condensate after inflation, successful Affleck-Dine baryogenesis is
possible if the suppression mass scale is $\gae 10^{31}-10^{35} \GeV$. In this
case the reheating temperature from $Q$-ball decay is in the range $3-100
\GeV$, while observable baryon isocurvature perturbations and non-thermal dark
matter are possible. In the case of extra-flat directions with a large $t$
squark component, there no $Q$-ball formation and reheating is via conventional
condensate decay. In this case the reheating temperature is in the range $1-100
\TeV$, naturally evading thermal gravitino overproduction while allowing
sphaleron erasure of any large B-L asymmetry.


title: On the K(\pi,1)-property for rings of integers in the mixed case

abstract:
  We investigate the Galois group G_S(p) of the maximal p-extension unramified
outside a finite set S of primes of a number field in the (mixed) case, when
there are primes dividing p inside and outside S. We show that the cohomology
of G_S(p) is "often" isomorphic to the etale cohomology of the scheme Spec(O_k
  S), in particular, G_S(p) is of cohomological dimension 2 then. We deduce
this from the results in our previous paper "Rings of integers of type
K(\pi,1)" (arXiv:0705.3372), which mainly dealt with the tame case.


title:
Long-Term X-Ray monitoring of NGC6251: Evidence for a jet-dominated
  radio galaxy

abstract:
  We present the first X-ray monitoring observations of the X-ray bright FRI
radio galaxy NGC6251 observed with RXTE for 1 year. The primary goal of this
study is to shed light on the origin of the X-rays, by investigating the
spectral variability with model-independent methods coupled with time-resolved
and flux-selected spectroscopy. The main results can be summarized as follows:
1) Throughout the monitoring campaign, NGC6251 was in relatively high-flux
state. 2) The flux persistently changed with fluctuations of the order of ~2 on
time scales of 20-30 days. 3) When the hardness ratio is plotted against the
average count rate, there is evidence for a spectral hardening as the source
brightens; this finding is confirmed by a flux-selected spectral analysis. 4)
The fractional variability appears to be more pronounced in the hard energy
band (5-12 keV) than in the soft one (2.5-5 keV). 5) 2-month averaged and
flux-limited energy spectra are adequately fitted by a power law. A Fe Kalpha
line is never statistically required, although the presence of a strong iron
line cannot be ruled out, due to the high upper limits on the line equivalent
width. The inconsistency of the spectral variability behavior of NGC6251 with
the typical trend observed in Seyfert galaxies and the similarity with blazars
lead support to a jet-dominated scenario during the RXTE monitoring campaign.
However, a possible contribution from a disk-corona system cannot be ruled out.


abstract:
  Extensive investigations have been and are being carried out on a stiff clay
from an underground research laboratory located at Mol (Belgium) called Boom
clay, in the context of research into deep nuclear waste disposal. Suction
effects in deep Boom clay block samples were investigated through the
characterisation of the water retention and of the swelling properties of the
clay. The data obtained allowed an estimation of the sample initial suction
that was reasonably compatible with the in-situ state of stress at a depth of
223 m. The relationship between suction and stress changes during loading and
unloading sequences were also examined by running oedometer tests with suction
measurements. A rather wide range of the ratio s/sigma 'v (being s the suction
and sigma 'v the effective vertical stress) was obtained (0.61 - 1), different
from that proposed by Bishop et al; (1974). Finally, the effect of suction
release under an isotropic stress close to the estimated sample suction was
investigated. A slight swelling (1.7%) was observed and further compression
provided a satisfactory value of the overconsolidation ratio confirming the
suggestions of taking some precautions before putting a swelling sample in
contact with water as suggested by Graham et al. (1987). The various
experimental data gathered in this study finally evidenced a relatively good
state of conservation of the block sample used.


title: The Local Time of the Classical Risk Process

abstract:
  In this paper we give an explicit expression for the local time of the
classical risk process and associate it with the density of an occupational
measure. To do so, we approximate the local time by a suitable sequence of
absolutely continuous random fields. Also, as an application, we analyze the
mean of the times $s \in [0,T]$ such that $0\leq X_{s} \leq X_{s+\epsilon} $
for some given $\epsilon>0$.


title:
Hydrogen Dissociation and Diffusion on Ni and Ti -doped Mg(0001)
  Surfaces

abstract:
  It is well known, both theoretically and experimentally, that alloying
MgH$_2$ with transition elements can significantly improve the thermodynamic
and kinetic properties for H$_2$ desorption, as well as the H$_2$ intake by Mg
bulk. Here we present a density functional theory investigation of hydrogen
dissociation and surface diffusion over Ni-doped surface, and compare the
findings to previously investigated Ti-doped Mg(0001) and pure Mg(0001)
surfaces. Our results show that the energy barrier for hydrogen dissociation on
the pure Mg(0001) surface is high, while it is small/null when Ni/Ti are added
to the surface as dopants. We find that the binding energy of the two H atoms
near the dissociation site is high on Ti, effectively impeding diffusion away
from the Ti site. By contrast, we find that on Ni the energy barrier for
diffusion is much reduced. Therefore, although both Ti and Ni promote H$_2$
dissociation, only Ni appears to be a good catalyst for Mg hydrogenation,
allowing diffusion away from the catalytic sites. Experimental results
corroborate these theoretical findings, i.e. faster hydrogenation of the Ni
doped Mg sample as opposed to the reference Mg or Ti doped Mg.


title:
Eccentricity growth of planetesimals in a self-gravitating
  protoplanetary disc

abstract:
  We investigate the orbital evolution of planetesimals in a self-gravitating
circumstellar disc in the size regime ($\sim 1-5000$ km) where the
planetesimals behave approximately as test particles in the disc's
non-axisymmetric potential. We find that the particles respond to the
stochastic, regenerative spiral features in the disc by executing large random
excursions (up to a factor of two in radius in $\sim 1000$ years), although
typical random orbital velocities are of order one tenth of the Keplerian
speed. The limited time frame and small number of planetesimals modeled does
not permit us to discern any {\it net} direction of planetesimal migration. Our
chief conclusion is that the high eccentricities ($\sim 0.1$) induced by
interaction with spiral features in the disc is likely to be highly
unfavourable to the collisional growth of planetesimals in this size range
while the disc is in the self-gravitating regi me. Thus {\it if}, as recently
argued by Rice et al 2004, 2006, the production of planetesimals gets under way
when the disc is in the self-gravitating regime (either at smaller planetesimal
size scales, where gas drag is important, or via gravitational fragmentation of
the solid component), then the planetesimals thus produced would not be able to
grow collisionally until the disc ceased to be self-gravitating. It is unclear,
however,given the large amplitude excursions undergone by planetesimals in the
self-gravitating disc, whether they would be retained in the disc throughout
this period, or whether they would instead be lost to the central star.


title: Vanishing homology

abstract:
  In this paper we introduce a new homology theory devoted to the study of
families such as semi-algebraic or subanalytic families and in general to any
family definable in an o-minimal structure (such as Denjoy-Carleman definable
or $ln-exp$ definable sets). The idea is to study the cycles which are
vanishing when we approach a special fiber. This also enables us to derive
local metric invariants for germs of definable sets. We prove that the homology
groups are finitely generated.


title: Black Hole solutions in Einstein-Maxwell-Yang-Mills-Gauss-Bonnet Theory

abstract:
  We consider Maxwell and Yang-Mills (YM) fields together, interacting through
gravity both in Einstein and Gauss-Bonnet (GB) theories. For this purpose we
choose two different sets of Maxwell and metric ansaetze. In our first ansatz,
asymptotically for $r\to 0$ (and $N>4$) the Maxwell field dominants over the YM
field. In the other asymptotic region, $r\to \infty $, however, the YM field
becomes dominant. For N=3 and N=4, where the GB term is absent, we recover the
well-known Ba\U{f1}ados-Teitelboim-Zanelli (BTZ) and Reissner-Nordstr\U{f6}m
(RN) metrics, respectively. The second ansatz corresponds to the case of
constant radius function for $S^{N-2}$ part in the metric. This leads to the
Bertotti-Robinson (BR) type solutions in the underlying theory.


title:
q-Invariant Functions for Some Generalizations of the Ornstein-Uhlenbeck
  Semigroup

abstract:
  We show that the multiplication operator associated to a fractional power of
a Gamma random variable, with parameter q>0, maps the convex cone of the
1-invariant functions for a self-similar semigroup into the convex cone of the
q-invariant functions for the associated Ornstein-Uhlenbeck (for short OU)
semigroup. We also describe the harmonic functions for some other
generalizations of the OU semigroup. Among the various applications, we
characterize, through their Laplace transforms, the laws of first passage times
above and overshoot for certain two-sided stable OU processes and also for
spectrally negative semi-stable OU processes. These Laplace transforms are
expressed in terms of a new family of power series which includes the
generalized Mittag-Leffler functions.


title: Bounds on the Poincare constant under negative dependence

abstract:
  We give bounds on the Poincare (inverse spectral gap) constant of a
non-negative, integer-valued random variable W, under negative dependence
assumptions such as ultra log-concavity and total negative dependence. We show
that the bounds obtained compare well to others in the literature. Examples
treated include some occupancy and urn models, a random graph model and small
spacings on the circumference of a circle. Applications to Poisson convergence
theorems are considered.


title: The origin of dwarf ellipticals in the Virgo cluster

abstract:
  We study the evolution of dwarf (L_H < 10^{9.6} L_Ho) star forming and
quiescent galaxies in the Virgo cluster by comparing their UV to radio
centimetric properties to the predictions of multizone chemo-spectrophotometric
models of galaxy evolution especially tuned to take into account the
perturbations induced by the interaction with the cluster intergalactic medium.
Our models simulate one or multiple ram pressure stripping events and galaxy
starvation. Models predict that all star forming dwarf galaxies entering the
cluster for the first time loose most, if not all, of their atomic gas content,
quenching on short time scales (< 150 Myr) their activity of star formation.
These dwarf galaxies soon become red and quiescent, gas metal-rich objects with
spectrophotometric and structural properties similar to those of dwarf
ellipticals. Young, low luminosity, high surface brightness star forming
galaxies such as late-type spirals and BCDs are probably the progenitors of
relatively massive dwarf ellipticals, while it is likely that low surface
brightness magellanic irregulars evolve into very low surface brightness
quiescent objects hardly detectable in ground based imaging surveys. The small
number of dwarf galaxies with physical properties intermediate between those of
star forming and quiescent systems is consistent with a rapid (< 1 Gyr)
transitional phase between the two dwarf galaxies populations. These results,
combined with statistical considerations, are consistent with the idea that
most of the dwarf ellipticals dominating the faint end of the Virgo luminosity
function were initially star forming systems, accreted by the cluster and
stripped of their gas by one or subsequent ram pressure stripping events.


title: Zero cycles on projective varieties and the norm principle

abstract:
  Using the Gille-Merkurjev norm principle we compute in a uniform way the
image of the degree map for quadrics (Springer's theorem), for twisted forms of
maximal orthogonal Grassmannians (theorem of Bayer-Fluckiger and Lenstra), for
E6- (Rost's theorem), and E7-varieties.


title: A study of counts of Bernoulli strings via conditional Poisson processes

abstract:
  We say that a string of length $d$ occurs, in a Bernoulli sequence, if a
success is followed by exactly $(d-1)$ failures before the next success. The
counts of such $d$-strings are of interest, and in specific independent
Bernoulli sequences are known to correspond to asymptotic $d$-cycle counts in
random permutations.
  In this note, we give a new framework, in terms of conditional Poisson
processes, which allows for a quick characterization of the joint distribution
of the counts of all $d$-strings, in a general class of Bernoulli sequences, as
certain mixtures of the product of Poisson measures. This general class
includes all Bernoulli sequences considered before, as well many new sequences.


title: Successfully combining SUGRA hybrid inflation and moduli stabilisation

abstract:
  Inflation and moduli stabilisation mechanisms work well independently, and
many string-motivated supergravity models have been proposed for them. However
a complete theory will contain both, and there will be (gravitational)
interactions between the two sectors. These give corrections to the inflaton
potential, which generically ruin inflation. This holds true even for
fine-tuned moduli stabilisation schemes. Following a suggestion by 0712.3460,
we show that a viable combined model can be obtained if it is the Kahler
functions (G= K+\ln |W|^2) of the two sectors that are added, rather than the
superpotentials (as is usually done). Interaction between the two sectors does
still impose some restrictions on the moduli stabilisation mechanism, which are
derived. Significantly, we find that the (post-inflation) moduli stabilisation
scale no longer needs to be above the inflationary energy scale.


title: Quantum Stress Focusing in Descriptive Chemistry

abstract:
  We show that several important concepts of descriptive chemistry, such as
atomic shells, bonding electron pairs and lone electron pairs, may be described
in terms of {\it quantum stress focusing}, i.e. the spontaneous formation of
high-pressure regions in an electron gas. This description subsumes previous
mathematical constructions, such as the Laplacian of the density and the
electron localization function, and provides a new tool for visualizing
chemical structure. We also show that the full stress tensor, defined as the
derivative of the energy with respect to a local deformation, can be easily
calculated from density functional theory.


title: Dynamics of Twisted Alexander Invariants

abstract:
  The Pontryagin dual of the twisted Alexander module for a d-component link
and GL(N,Z) representation is an algebraic dynamical system with an elementary
description in terms of colorings of a diagram. In the case of a knot, its
associated topological entropy is the logarithmic growth rate of the number of
torsion elements in the twisted first-homology group of r-fold cyclic covers of
the knot complement, as r goes to infinity.
  Total twisted representations are introduced, and their properties are
studied. The twisted Alexander polynomial obtained from any nonabelian
parabolic SL(2,C) representation of a 2-bridge knot group is seen to be
nontrivial. The zeros of any twisted Alexander polynomial of a torus knot
corresponding to a parabolic SL(2,C) representation or a finite-image
permutation representation are shown to be roots of unity.


title: Molecular line probes of activity in galaxies

abstract:
  The use of specific tracers of the dense molecular gas phase can help to
explore the feedback of activity on the interstellar medium (ISM) in galaxies.
This information is a key to any quantitative assessment of the efficiency of
the star formation process in galaxies. We present the results of a survey
devoted to probe the feedback of activity through the study of the excitation
and chemistry of the dense molecular gas in a sample of local universe
starbursts and active galactic nuclei (AGNs). Our sample includes also 17
luminous and ultraluminous infrared galaxies (LIRGs and ULIRGs). From the
analysis of the LIRGs/ULIRGs subsample, published in Gracia-Carpio et al.(2007)
we find the first clear observational evidence that the star formation
efficiency of the dense gas, measured by the L_FIR/L_HCN ratio, is
significantly higher in LIRGs and ULIRGs than in normal galaxies. Mounting
evidence of overabundant HCN in active environments would even reinforce the
reported trend, pointing to a significant turn upward in the Kennicutt-Schmidt
law around L_FIR=10^11 L_sun. This result has major implications for the use of
HCN as a tracer of the dense gas in local and high-redshift luminous infrared
galaxies.


title:
Galactic kinematics with RAVE data: I. The distribution of stars towards
  the Galactic poles

abstract:
  We analyze the distribution of G and K type stars towards the Galactic poles
using RAVE and ELODIE radial velocities, 2MASS photometric star counts, and
UCAC2 proper motions. The combination of photometric and 3D kinematic data
allows us to disentangle and describe the vertical distribution of dwarfs,
sub-giants and giants and their kinematics. We identify discontinuities within
the kinematics and magnitude counts that separate the thin disk, thick disk and
a hotter component. The respective scale heights of the thin disk and thick
disk are 225$\pm$10 pc and 1048$\pm$36 pc. We also constrain the luminosity
function and the kinematic distribution function. The existence of a kinematic
gap between the thin and thick disks is incompatible with the thick disk having
formed from the thin disk by a continuous process, such as scattering of stars
by spiral arms or molecular clouds. Other mechanisms of formation of the thick
disk such as `created on the spot' or smoothly `accreted' remain compatible
with our findings.


title:
On the time-modulation of the K-shell electron capture decay of H-like
  140Pr58+ ions produced by neutrino-flavour mixing

abstract:
  According to recent experimental data at GSI, the rate of the number of
daughter ions 140Ce58+, produced by the nuclear K-shell electron capture (EC)
decay of the H-like ion 140Pr58+, is modulated in time with a period T_d =
7.06(8) sec and an amplitude a_(EC) = 0.20(2). We show that this phenomenon can
be explained by neutrino-flavour mixing and derive a value for the difference
of squared masses Delta m^2_(21) = m^2_2 - m^2_1 = 2.22(3)x10^(-4) eV^2.


title:
The Effects of Mass Loss on the Evolution of Chemical Abundances in Fm
  Stars

abstract:
  Self-consistent stellar models including all effects of atomic diffusion and
radiative accelerations as well as mass loss are evolved from the pre main
sequence for stars of 1.35-1.5, M$_{\odot}$ at solar metallicity (Z=0.02). A
mass loss rate similar to the solar mass loss rate is sufficient to reproduce
observations of the star $\tau$UMa. We discuss the effect of mass loss on the
iron convection zone that naturally appears beneath the main hydrogen
convection zone of these stars. We also find that the effects of mass loss can
be distinguished from those caused by turbulence, but are nevertheless able to
explain the particularities of the AmFm phenomenon.


title:
Necessary and sufficient conditions for local Pareto optimality on time
  scales

abstract:
  We study a multiobjective variational problem on time scales. For this
problem, necessary and sufficient conditions for weak local Pareto optimality
are given. We also prove a necessary optimality condition for the isoperimetric
problem with multiple constraints on time scales.


title: First Stars III Conference Summary

abstract:
  The understanding of the formation, life, and death of Population III stars,
as well as the impact that these objects had on later generations of structure
formation, is one of the foremost issues in modern cosmological research and
has been an active area of research during the past several years. We summarize
the results presented at "First Stars III," a conference sponsored by Los
Alamos National Laboratory, the Kavli Institute for Particle Astrophysics and
Cosmology, and the Joint Institute for Nuclear Astrophysics. This conference,
the third in a series, took place in July 2007 at the La Fonda Hotel in Santa
Fe, New Mexico, U.S.A.


title: Exponential Bounds in the Law of Iterated Logarithm for Martingales

abstract:
  In this paper non-asymptotic exponential estimates are derived for tail of
maximum martingale distribution by naturally norming in the spirit of the
classical Law of Iterated Logarithm.
  Key words: Martingales, exponential estimations, moment, Banach spaces of
random variables, tail of distribution, conditional expectation.


title: The criteria of order change in open system: the statistical approach

abstract:
  The criteria determining the sign of entropy change in the open system are
formulated. The concepts of entrostat, degree of openness, critical level of
ordering are entered. The opportunity of occurrence of entropy oscillations in
a stationary status is shown. The important role of considered of entropy laws
in formation of the global tendencies.


title:
A local families index formula for d-bar operators on punctured Riemann
  surfaces

abstract:
  Using heat kernel methods developed by Vaillant, a local index formula is
obtained for families of d-bar operators on the Teichmuller universal curve of
Riemann surfaces of genus g with n punctures. The formula also holds on the
moduli space M{g,n} in the sense of orbifolds where it can be written in terms
of Mumford-Morita-Miller classes. The degree two part of the formula gives the
curvature of the corresponding determinant line bundle equipped with the
Quillen connection, a result originally obtained by Takhtajan and Zograf.


title: Reconstructing the dark energy

abstract:
  This paper has been withdrawn by the authors due to numerical problems to get
viable results.


title:
Well-posedness of the Fifth Order Kadomtsev-Petviashvili I Equation in
  Anisotropic Sobolev Spaces with Nonnegative Indices

abstract:
  In this paper we establish the local and global well-posedness of the real
valued fifth order Kadomstev-Petviashvili I equation in the anisotropic Sobolev
spaces with nonnegative indices. In particular, our local well-posedness
improves Saut-Tzvetkov's one and our global well-posedness gives an affirmative
answer to Saut-Tzvetkov's $L^2$-data conjecture.


title:
Topological spin Hall states, charged skyrmions, and superconductivity
  in two dimensions

abstract:
  We study the properties of two dimensional topological spin hall insulators
which arise through spontaneous breakdown of spin symmetry in systems that are
spin rotation invariant. Such a phase breaks spin rotation but not time
reversal symmetry and has a vector order parameter. Skyrmion configurations in
this vector order parameter are shown to have electric charge that is twice the
electron charge. When the spin Hall order is destroyed by condensation of
skyrmions superconductivity results. This may happen either through doping or
at fixed filling by tuning interactions to close the skyrmion gap. In the
latter case the superconductor- spin Hall insulator quantum phase transition
can be second order even though the two phases break distinct symmetries.


title: On scatteredly continuous maps between topological spaces

abstract:
  A map $f:X\to Y$ between topological spaces is defined to be {\em scatteredly
continuous} if for each subspace $A\subset X$ the restriction $f|A$ has a point
of continuity. We show that for a function $f:X\to Y$ from a perfectly
paracompact hereditarily Baire Preiss-Simon space $X$ into a regular space $Y$
the scattered continuity of $f$ is equivalent to (i) the weak discontinuity
(for each subset $A\subset X$ the set $D(f|A)$ of discontinuity points of $f|A$
is nowhere dense in $A$), (ii) the $\sigma$-continuity ($X$ can be written as a
countable union of closed subsets on which $f$ is continuous), (iii) the
$G_\delta$-measurability (the preimage of each open set is of type $G_\delta$).
  Also under Martin Axiom, we construct a $G_\delta$-measurable map $f:X\to Y$
between metrizable separable spaces, which is not piecewise continuous. This
answers an old question of V.Vinokurov.


title: The coarse classification of homogeneous ultra-metric spaces

abstract:
  We prove that two homogeneous ultra-metric spaces $X,Y$ are coarsely
equivalent if and only if $\mathrm{Ent}^\sharp(X)=\mathrm{Ent}^\sharp(Y)$ where
$\mathrm{Ent}^\sharp(X)$ is the so-called sharp entropy of $X$. This
classification implies that each homogeneous proper ultra-metric space is
coarsely equivalent to the anti-Cantor set $2^{<\omega}$. For the proof of
these results we develop a technique of towers which can have an independent
interest.


title: Gas Shepherding by an Infalling Satellite

abstract:
  I calculate the action of a satellite, infalling through dynamical friction,
on a coplanar gaseous disk of finite radial extent. The disk tides, raised by
the infalling satellite, couple the satellite and disk. Dynamical friction
acting on the satellite then shrinks the radius of the coupled satellite-disk
system. Thus, the gas is ``shepherded'' to smaller radii. In addition, gas
shepherding produces a large surface density enhancement at the disk edge. If
the disk edge then becomes gravitationally unstable and fragments, it may give
rise to enhanced star formation. On the other hand, if the satellite is
sufficiently massive and dense, the gas may be transported from $\sim 100$ pc
to inside of a 10 to 10s of parsecs before completely fragmenting into stars. I
argue that gas shepherding may drive the fueling of active galaxies and central
starbursts and I compare this scenario to competing scenarios. I argue that
sufficiently large and dense super star clusters (acting as the shepherding
satellites) can shepherd a gas disk down to ten to tens of parsecs. Inside of
ten to tens of parsecs, another mechanism may operate, i.e., cloud-cloud
collisions or a marginally (gravitationally) stable disk, that drives the gas
$\lesssim 1$ pc, where it can be viscously accreted, feeding a central engine.


title: Spin-Gravity Coupling

abstract:
  Mathisson's spin-gravity coupling and its Larmor-equivalent interaction,
namely, the spin-rotation coupling are discussed. The study of the latter leads
to a critical examination of the basic role of locality in relativistic
physics. The nonlocal theory of accelerated systems is outlined and some of its
implications are described.


title:
Miniaturization and control of split ring structures from an analytic
  solution of their resonance

abstract:
  We derived simple polynomial equations to determine the entire resonance
spectra of split ring structures. For double stacking split rings made with
flat wires, we showed that the resonance frequency depends linearly on the
ring-ring separation. In particular, we found that the wavelength of the lowest
resonance mode can be made as large as the geometrical size of the ring for
realistic experimental conditions, whereas for current systems this ratio is of
the order of 10. Finite-difference-time-domain simulations on realistic
structures verified the analytic predictions.


title:
The Stochastic Dynamics of Rectangular and V-shaped Atomic Force
  Microscope Cantilevers in a Viscous Fluid and Near a Solid Boundary

abstract:
  Using a thermodynamic approach based upon the fluctuation-dissipation theorem
we quantify the stochastic dynamics of rectangular and V-shaped microscale
cantilevers immersed in a viscous fluid. We show that the stochastic cantilever
dynamics as measured by the displacement of the cantilever tip or by the angle
of the cantilever tip are different. We trace this difference to contributions
from the higher modes of the cantilever. We find that contributions from the
higher modes are significant in the dynamics of the cantilever tip-angle. For
the V-shaped cantilever the resulting flow field is three-dimensional and
complex in contrast to what is found for a long and slender rectangular
cantilever. Despite this complexity the stochastic dynamics can be predicted
using a two-dimensional model with an appropriately chosen length scale. We
also quantify the increased fluid dissipation that results as a V-shaped
cantilever is brought near a solid planar boundary.


title: Modeling of a Cantilever-Based Near-Field Scanning Microwave Microscope

abstract:
  We present a detailed modeling and characterization of our scalable microwave
nanoprobe, which is a micro-fabricated cantilever-based scanning microwave
probe with separated excitation and sensing electrodes. Using finite-element
analysis, the tip-sample interaction is modeled as small impedance changes
between the tip electrode and the ground at our working frequencies near 1GHz.
The equivalent lumped elements of the cantilever can be determined by
transmission line simulation of the matching network, which routes the
cantilever signals to 50 Ohm feed lines. In the microwave electronics, the
background common-mode signal is cancelled before the amplifier stage so that
high sensitivity (below 1 atto-Farad capacitance changes) is obtained.
Experimental characterization of the microwave probes was performed on
ion-implanted Si wafers and patterned semiconductor samples. Pure electrical or
topographical signals can be realized using different reflection modes of the
probe.


title: Weak Ferromagnetic Exchange and Anomalous Specific Heat in ZnCu3(OH)6Cl2

abstract:
  Experimental evidence for a plethora of low energy spin excitations in the
spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2 may be understandable in terms of
an extended Fermi surface of spinons coupled to a U(1) gauge field. We carry
out variational calculations to examine the possibility that such a state may
be energetically viable. A Gutzwiller-projected wavefunction reproduces the
dimerization of a kagome strip found previously by DMRG. Application to the
full kagome lattice shows that the inclusion of a small ferromagnetic
next-nearest-neighbor interaction favors a ground state with a spinon Fermi
surface.


title: Spin-valley interplay in two-dimensional disordered electron liquid

abstract:
  We report the detailed study of the influence of the spin and valley
splittings on such physical observables of the two-dimensional disordered
electron liquid as resistivity, spin and valley susceptibilities. We explain
qualitatively the nonmonotonic dependence of the resistivity with temperature
in the presence of a parallel magnetic field. In the presence of either the
spin splitting or the valley splitting we predict novel, with two maximum
points, temperature dependence of the resistivity.


title:
Constraint preserving boundary conditions for the Ideal Newtonian MHD
  equations

abstract:
  We study and develop constraint preserving boundary conditions for the
Newtonian magnetohydrodynamic equations and analyze the behavior of the
numerical solution upon considering different possible options.


title:
Mapping warm molecular hydrogen with Spitzer's Infrared Array Camera
  (IRAC)

abstract:
  Photometric maps, obtained with Spitzer's Infrared Array Camera (IRAC), can
provide a valuable probe of warm molecular hydrogen within the interstellar
medium. IRAC maps of the supernova remnant IC443, extracted from the Spitzer
archive, are strikingly similar to spectral line maps of the H2 pure rotational
transitions that we obtained with the Infrared Spectrograph (IRS) instrument on
Spitzer. IRS spectroscopy indicates that IRAC Bands 3 and 4 are indeed
dominated by the H2 v=0-0 S(5) and S(7) transitions, respectively. Modeling of
the H2 excitation suggests that Bands 1 and 2 are dominated by H2 v=1-0 O(5)
and v=0-0 S(9). Large maps of the H2 emission in IC433, obtained with IRAC,
show band ratios that are inconsistent with the presence of gas at a single
temperature. The relative strengths of IRAC Bands 2, 3, and 4 are consistent
with pure H2 emission from shocked material with a power-law distribution of
gas temperatures. CO vibrational emissions do not contribute significantly to
the observed Band 2 intensity. Assuming that the column density of H2 at
temperatures T to T+dT is proportional to T raised to the power -b for
temperatures up to 4000 K, we obtained a typical estimate of 4.5 for b. The
power-law index, b, shows variations over the range 3 to 6 within the set of
different sight-lines probed by the maps, with the majority of sight-lines
showing b in the range 4 to 5. The observed power-law index is consistent with
the predictions of simple models for paraboloidal bow shocks.