title:
Pseudogap state in slightly doped by aluminium and praseodymium
  YBa$_2$Cu$_3$O$_{7-\delta}$ single crystals with a given topology of plane
  defects

abstract:
  In present work the conductivity in the basis plane of YBaCuO single crystals
slightly doped by Al and Pr with a pre-specified topology of twin boundaries
has been investigated. The excess conductivity for the analyzed samples shows
dependence like $\Delta\sigma\sim(1-T/T^*)\exp(\Delta_{ab}^*/T)$ in wide
temperature range $T_f<T<T^*$, where $T^*$ can be represents as mean field
temperature of superconducting transition. The temperature dependence of
pseudogap can be satisfactory described in terms of the BCS-BEC crossover
theoretical model.


title: Temporal behavior of synchronization between chaotic fiber lasers

abstract:
  A new configuration for synchronizing two chaotic fiber lasers, which
includes both coupling and losses, is presented. Experimental and calculated
results reveal that the synchronization time can be significantly shorter than
with configuration that have only coupling.


title:
Dynamics of postcritically bounded polynomial semigroups III:
  classification of semi-hyperbolic semigroups and random Julia sets which are
  Jordan curves but not quasicircles

abstract:
  We investigate the dynamics of polynomial semigroups (semigroups generated by
a family of polynomial maps on the Riemann sphere) and the random dynamics of
polynomials on the Riemann sphere. Combining the dynamics of semigroups and the
fiberwise (random) dynamics, we give a classification of polynomial semigroups
$G$ such that $G$ is generated by a compact family $\Gamma $, the planar
postcritical set of $G$ is bounded, and $G$ is (semi-) hyperbolic. In one of
the classes, we have that for almost every sequence $\gamma \in \Gamma
^{\Bbb{N}}$, the Julia set $J_{\gamma}$ of $\gamma $ is a Jordan curve but not
a quasicircle, the unbounded component of the Fatou set $F_{\gamma}$ of
$\gamma$ is a John domain, and the bounded component of $F_{\gamma}$ is not a
John domain. Note that this phenomenon does not hold in the usual iteration of
a single polynomial. Moreover, we consider the dynamics of polynomial
semigroups $G$ such that the planar postcritical set of $G$ is bounded and the
Julia set is disconnected. Those phenomena of polynomial semigroups and random
dynamics of polynomials that do not occur in the usual dynamics of polynomials
are systematically investigated.


title:
The electron densities of pseudorelativistic eigenfunctions are smooth
  away from the nuclei

abstract:
  We consider a pseudorelativistic model of atoms and molecules, where the
kinetic energy of the electrons is given by $\sqrt{p^2+m^2}-m$. In this model
the eigenfunctions are generally not even bounded, however, we prove that the
corresponding one-electron densities are smooth away from the nuclei.


title:
Birkhoff normal form and splitting methods for semi linear Hamiltonian
  PDEs. Part I: Finite dimensional discretization

abstract:
  We consider {\em discretized} Hamiltonian PDEs associated with a Hamiltonian
function that can be split into a linear unbounded operator and a regular
nonlinear part. We consider splitting methods associated with this
decomposition. Using a finite dimensional Birkhoff normal form result, we show
the almost preservation of the {\em actions} of the numerical solution
associated with the splitting method over arbitrary long time, provided the
Sobolev norms of the initial data is small enough, and for asymptotically large
level of space approximation. This result holds under {\em generic} non
resonance conditions on the frequencies of the linear operator and on the step
size. We apply this results to nonlinear Schr\"odinger equations as well as the
nonlinear wave equation.}


title: Quantales of open groupoids

abstract:
  It is well known that inverse semigroups are closely related to \'etale
groupoids. In particular, it has recently been shown that there is a
(non-functorial) equivalence between localic \'etale groupoids, on one hand,
and complete and infinitely distributive inverse semigroups (abstract complete
pseudogroups), on the other. This correspondence is mediated by a class of
quantales, known as inverse quantal frames, that are obtained from the inverse
semigroups by a simple join completion that yields an equivalence of
categories. Hence, we can regard abstract complete pseudogroups as being
essentially ``the same'' as inverse quantal frames, and in this paper we
exploit this fact in order to find a suitable replacement for inverse
semigroups in the context of open groupoids that are not necessarily \'etale.
The interest of such a generalization lies in the importance and ubiquity of
open groupoids in areas such as operator algebras, differential geometry and
topos theory, and we achieve it by means of a class of quantales, called open
quantal frames, which generalize inverse quantal frames and whose properties we
study in detail. The resulting correspondence between quantales and open
groupoids is not a straightforward generalization of the previous results
concerning \'etale groupoids, and it depends heavily on the existence of
inverse semigroups of local bisections of the quantales involved.


title:
Monolithic Pixel Sensors in Deep-Submicron SOI Technology with Analog
  and Digital Pixels

abstract:
  This paper presents the design and test results of a prototype monolithic
pixel sensor manufactured in deep-submicron fully-depleted Silicon-On-Insulator
(SOI) CMOS technology. In the SOI technology, a thin layer of integrated
electronics is insulated from a (high-resistivity) silicon substrate by a
buried oxide. Vias etched through the oxide allow to contact the substrate from
the electronics layer, so that pixel implants can be created and a reverse bias
can be applied. The prototype chip, manufactured in OKI 0.15 micron SOI
process, features both analog and digital pixels on a 10 micron pitch. Results
of tests performed with infrared laser and 1.35 GeV electrons and a first
assessment of the effect of ionising and non-ionising doses are discussed.


title: Signature of the Planck scale

abstract:
  A fundamental spacetime scale in the universe leads to noncommutative
spacetime and thence to a modified energy - momentum dispersion relation or
equivalently to a modification of Lorentz symmetry as shown by the author and
others. This latter consideration has also been used by some scholars though
based on purely phenomenological models that have been suggested by the
observation of Ultra High Energy Cosmic Rays. On the other hand a parallel
development has been the proposal of a small but non zero photon mass by some
scholars including the author, such a mass being within experimentally
allowable limits. This too leads to a small violation of Lorentz symmetry
observable in principle in very high energy gamma rays, as in fact is claimed.
We show in this paper that the latter mechanism in fact follows from the
former, thus unifying two apparently different approaches.


title: Logical independence and quantum randomness

abstract:
  We propose a link between logical independence and quantum physics. We
demonstrate that quantum systems in the eigenstates of Pauli group operators
are capable of encoding mathematical axioms and show that Pauli group quantum
measurements are capable of revealing whether or not a given proposition is
logically dependent on the axiomatic system. Whenever a mathematical
proposition is logically independent of the axioms encoded in the measured
state, the measurement associated with the proposition gives random outcomes.
This allows for an experimental test of logical independence. Conversely, it
also allows for an explanation of the probabilities of random outcomes observed
in Pauli group measurements from logical independence without invoking quantum
theory. The axiomatic systems we study can be completed and are therefore not
subject to Goedel's incompleteness theorem.


title: Aspects of the phase diagram in (P)NJL-like models

abstract:
  We discuss three applications of NJL- and PNJL-like models to assess aspects
of the QCD phase diagram: First, we study the effect of mesonic correlations on
the pressure below and above the finite temperature phase transition within a
nonlocal PNJL model beyond the mean-field approximation. Second, we reconstruct
the phase boundary of an NJL model from a Taylor expansion of the chiral
susceptibility about $\mu = 0$ and compare the result with the exact phase
boundary. Finally, we demonstrate the realization of the "non-standard
scenario" for the critical surface in a three-flavor PNJL model with a
$\mu$-dependent determinant interaction.


title:
Electrical resistance of Ni nanowires (diameter greater than or equal to
  20 nm) near the Curie Temperatures

abstract:
  In this letter we report electrical transport measurements on nickel
nanowires of diameters down to 20 nm in the region close to its
paramagnetic-ferromagnetic transition temperature T_C (reduced temperature|t|
less than or equal to 0.001). The data analysis done in the frame work of
critical behavior of resistance near TC shows that the critical behavior
persists even down to the lowest diameter wire of 20 nm. However, there is a
suppression of the critical behavior of the resistivity as measured by the
critical exponents and the parameters quantifying the anomaly. The spin system
shows approach to a quasi one-dimensional spin system.


title: A note on Vasiu-Zink windows

abstract:
  We propose a notion of frames and windows that allows an alternative proof of
the Vasiu-Zink classification of p-divisible groups over ramified complete
regular local rings by their Breuil windows.


title: Search for Gluinos with the CMS Detector at the LHC

abstract:
  Gluino pair production in an EGRET motivated supersymmetry scenario has been
studied. The analysis shows, that this special scenario could be proven with
the first LHC data, and assuming a higher integrated luminosity the analysis
would be able to cover a large region of the minimal supergravity (mSUGRA)
parameter space.


title: Anomaly in Nonlinear Magnetoelectric Response of YbMnO3

abstract:
  We observe a seemingly complex magnetic field dependence of dielectric
constant of hexagonal YbMnO3 near the spin ordering temperature. After
rescaling, the data taken at different temperatures and magnetic fields
collapse on a single curve describing the sharp anomaly in nonlinear
magnetoelectric response at the magnetic transition. We show that this anomaly
is a result of the competition between two magnetic phases. The scaling and the
shape of the anomaly are explained using the phenomenological Landau
description of the competing phases in hexagonal manganites.


title:
The inhomogeneous equation of state and the road towards the solution of
  the cosmological constant problem

abstract:
  We present a cosmological model containing a cosmological constant $\Lambda$
and a component with an inhomogeneous equation of state. We study the form of
the inhomogeneous equation of state for which the model exhibits the relaxation
of the cosmological constant, i.e. it asymptotically tends to the de Sitter
regime characterized by a small positive effective cosmological constant. The
effect of the relaxation of the cosmological constant is observed both for
negative and positive values of $\Lambda$ and for a range of model parameters.
A special emphasis is put on the study of the details of the CC relaxation
mechanism and the robustness of the mechanism to the variation of model
parameters. It is found that within the studied model the effective
cosmological constant at large scale factor values is small because the
absolute value of the real cosmological constant is large.


title:
Crystals of Fock spaces and cyclotomic rational double affine Hecke
  algebras

abstract:
  We define the i-restriction and i-induction functors on the category O of the
cyclotomic rational double affine Hecke algebras. This yields a crystal on the
set of isomorphism classes of simple modules, which is isomorphic to the
crystal of a Fock space.


title:
Exact relations between damage spreading and thermodynamic functions for
  the N-color Ashkin-Teller model

abstract:
  Exact results are derived relating quantities computable by the so-called
damage spreading method and thermodynamic functions for the N-color
Ashkin-Teller model. The results are valid for any ergodic dynamics. Since we
restrict our analysis to the ferromagnetic case the results are also valid for
any translational invariant lattice. The derived relations should be used in
order to determine numerically the N-color Ashkin-Teller critical exponents
with better accuracy and less computational efforts than standard Monte Carlo
simulations.


title: Notes on Artin-Tate motives

abstract:
  We first study the weight structure on the triangulated category of
Artin-Tate motives over a perfect base field k, building on results of
Bondarko's. We then study the t-structure on the triangulated category of
Artin-Tate motives, when k is algebraic over the rationals, generalizing a
result of Levine's. We finally study the interaction of the weight structure
and the t-structure. When k is a number field, this will give a useful
criterion identifying the weight structure via realizations.


title: A note on the subword complexes in Coxeter groups

abstract:
  We prove that the Stanley--Reisner ideal of the Alexander dual of the subword
complexes in Coxeter groups has linear quotients with respect to the
lexicographical order of the minimal monomial generators. As a consequence, we
obtain a shelling order on the facets of the subword complex. We relate some
invariants of the subword complexes or of their dual with invariants of the
word. For a particular class of subword complexes, we prove that the
Stanley--Reisner ring is a complete intersection ring.


title: Averaging lemmas with a force term in the transport equation

abstract:
  We obtain several averaging lemmas for transport operator with a force term.
These lemmas improve the regularity yet known by not considering the force term
as part of an arbitrary right-hand side. Two methods are used: local variable
changes or stationary phase. These new results are subjected to two non
degeneracy assumptions. We characterize the optimal conditions of these
assumptions to compare the obtained regularities according to the space and
velocity variables. Our results are mainly in $L^2$, and for constant force, in
$L^p$ for $1<p \leq 2$.


title: Courant algebroids and Poisson Geometry

abstract:
  Given a manifold M with an action of a quadratic Lie algebra d, such that all
stabilizer algebras are co-isotropic in d, we show that the product M\times d
becomes a Courant algebroid over M. If the bilinear form on d is split, the
choice of transverse Lagrangian subspaces g_1, g_2 of d defines a bivector
field on M, which is Poisson if (d,g_1,g_2) is a Manin triple. In this way, we
recover the Poisson structures of Lu-Yakimov, and in particular the Evens-Lu
Poisson structures on the variety of Lagrangian Grassmannians and on the de
Concini-Procesi compactifications. Various Poisson maps between such examples
are interpreted in terms of the behaviour of Lagrangian splittings under
Courant morphisms.


title:
Two-dimensional manganese oxide nanolayers on Pd(100): Surface phase
  diagram

abstract:
  Two-dimensional manganese oxide layers have been grown on Pd(100) and have
been characterized by scanning tunnelling microscopy (STM), low-energy electron
diffraction (LEED) and X-ray photoelectron spectroscopy (XPS). The complex
surface phase diagram of MnOx on Pd(100) is reported, where nine different
novel Mn oxide phases have been detected as a function of the chemical
potential of oxygen mO. Three regions of the chemical potential of oxygen can
be identified, in which structurally related oxide phases are formed, often in
coexistence at the surface. The different regions of mO are reflected in the
oxidation states of the respective Mn oxide nanolayers as revealed by the Mn 2p
and O 1s XPS binding energies. The MnOx nanolayers form two-dimensional wetting
layers and it is speculated that they mediate the epitaxial growth of MnO on
Pd(100) by providing structurally graded interfaces.


title: Reaction mechanisms in the 6Li+59Co system

abstract:
  The reactions induced by the weakly bound 6Li projectile interacting with the
intermediate mass target 59Co were investigated. Light charged particles
singles and $\alpha$-$d$ coincidence measurements were performed at the near
barrier energies E_lab = 17.4, 21.5, 25.5 and 29.6 MeV. The main contributions
of the different competing mechanisms are discussed. A statistical model
analysis, Continuum-Discretized Coupled-Channels calculations and two-body
kinematics were used as tools to provide information to disentangle the main
components of these mechanisms. A significant contribution of the direct
breakup was observed through the difference between the experimental sequential
breakup cross section and the CDCC prediction for the non-capture breakup cross
section.


title:
Variation of fluxes of RR Tel emission lines measured in 2000 with
  respect to 1996

abstract:
  The aim of this work is to make available unpublished non-Fe+ emission line
fluxes from optical spectra of the symbiotic nova RR Tel which were taken in
2000, and to compare them with fluxes of the same lines from spectra taken in
1996. After leaving out blends and misidentifications, as well as the
unreliable far-red and violet lines, we present the log (F2000/F1996) flux
ratios for identified non-Fe+ lines. Mean values of log (F2000/F1996) for
different ionization potential ranges of the ions producing the lines are shown
separately for the permitted and forbidden lines. All means show fading, which
is larger in the lowest range of ionization potential. Provisional
interpretations are suggested. We also measured the values of FWHM in 2000; the
previously known decrease with time of FWHM of lines due to the same ion has
continued.


title:
Ultrafast electron dynamics following outer-valence ionization: The
  impact of low-lying relaxation satellite states

abstract:
  Low-lying relaxation satellites give rise to ultrafast electron dynamics
following outer-valence ionization of a molecular system is studied. To
demonstrate the impact of such satellites, the evolution of the electronic
cloud after sudden removal of an electron from the highest occupied molecular
orbital (HOMO) of the organic unsaturated nitroso compound
2-Nitroso[1,3]oxazolo[5,4-d][1,3]oxazole is traced in real time and space using
ab initio methods only. Our results show that the initially created hole charge
remains stationary but on top of it the system reacts by an ultrafast pi-pi*
excitation followed by a cyclic excitation-deexcitation process which leads to
a redistribution of the charge. The pi-pi* excitation following the removal of
the HOMO electron takes place on a sub-femtosecond time scale and the period of
the excitation-deexcitation alternations is about 1.4 fs. In real space the
processes of excitation and de-excitation represent ultrafast delocalization
and localization of the charge. The results are analyzed by a simple two- and
three-state model.


title: VBFNLO: A parton level Monte Carlo for processes with electroweak bosons

abstract:
  VBFNLO is a fully flexible parton level Monte Carlo program for the
simulation of vector boson fusion, double and triple vector boson production in
hadronic collisions at next-to-leading order in the strong coupling constant.
VBFNLO includes Higgs and vector boson decays with full spin correlations and
all off-shell effects. In addition, VBFNLO implements CP-even and CP-odd Higgs
boson via gluon fusion, associated with two jets, at the leading-order one-loop
level with the full top- and bottom-quark mass dependence in a generic
two-Higgs-doublet model.
  A variety of effects arising from beyond the Standard Model physics are
implemented for selected processes. This includes anomalous couplings of Higgs
and vector bosons and a Warped Higgsless extra dimension model. The program
offers the possibility to generate Les Houches Accord event files for all
processes available at leading order.


title: Infrasound generation by tornadic supercell storms

abstract:
  Acoustic wave generation by turbulence in the stratified, moist atmosphere is
studied. It is shown that in the saturated moist air turbulence in addition to
the Lighthill's quadrupole and the dipole sources of sound related to
stratification and temperature fluctuations, there exist monopole sources
related to heat and mass production during the condensation of moisture. We
determine acoustic power of these monopole sources. Performed analysis shows
that the monopole radiation is dominant for typical parameters of strong
convective storms. Obtained results are in good qualitative agreement with the
main observed characteristics of infrasound radiation by strong convective
storms such as total acoustic power and characteristic frequency.


title:
A unified theory for the cuprates, iron-based and similar
  superconducting systems: non-Fermi-liquid to Fermi-liquid crossover,
  low-energy and waterfall anomalies

abstract:
  A unified theory is outlined for the cuprates, Fe-based, and related
superconductors. Their low-energy excitations are approached in terms of
auxiliary particles representing combinations of atomic-like electron
configurations, and the introduction of a Lagrange Bose field enables their
treatment as bosons or fermions. This theory correctly describes the observed
phase diagram of the cuprates, including the non-Fermi-liquid to FL crossover
in the normal state, the existence of Fermi arcs below T^* and of "marginal-FL"
behavior above it. The anomalous behavior of numerous physical quantities is
accounted for, including kink- and waterfall-like spectral features, the drop
in the scattering rates below T^* and more radically below T_c, and an
effective increase in the density of carriers with T and \omega, reflected in
transport, optical and other properties. Also is explained the correspondence
between T_c, the resonance-mode energy, and the increase in the gap below T_c.


title:
Incompleteness of the particle dynamics in microcosm and the skeleton
  conception of elementary particles as overcoming of this incompleteness

abstract:
  The skeleton conception of elementary particles is considered in the paper.
Conventional particle dynamics is formulated in an unaccomplished form, which
is adequate only in the continuous space-time geometry. The conventional
differential equations of the particle motion cannot be written in the discrete
space-time geometry. In the discrete space-time geometry the particle world
line is replaced by the world chain. The world chain links has a finite length
(not infinitesimal). The world chain appears to be stochastic. Statistical
description of stochastic world chains leads to the Schr\"{o}dinger equation,
if the elementary length of the geometry is chosen in a proper way. The quantum
principles are founded by existence of the discrete (and multivariant)
space-time geometry and lose the role of prime physical principles. In the
skeleton conception the particle is described by its skeleton (several rigidly
connected space-time points). Skeleton conception of the elementary particles
realizes a proper description of the particle state, which appears to be
adequate in a discrete space-time geometry. The particle dynamics takes the
form of a monistic conception, which is described completely in terms of the
world function of the space-time geometry. The skeleton conception accomplishes
the transition from nonrelativistic physics to the relativistic one and
realizes the total geometrization of particle dynamics.


title: Bottlenecks to vibrational energy flow in OCS: Structures and mechanisms

abstract:
  Finding the causes for the nonstatistical vibrational energy relaxation in
the planar carbonyl sulfide (OCS) molecule is a longstanding problem in
chemical physics: Not only is the relaxation incomplete long past the predicted
statistical relaxation time, but it also consists of a sequence of abrupt
transitions between long-lived regions of localized energy modes. We report on
the phase space bottlenecks responsible for this slow and uneven vibrational
energy flow in this Hamiltonian system with three degrees of freedom. They
belong to a particular class of two-dimensional invariant tori which are
organized around elliptic periodic orbits. We relate the trapping and
transition mechanisms with the linear stability of these structures.


title: On the way towards a generalized entropy maximization procedure

abstract:
  We propose a generalized entropy maximization procedure, which takes into
account the generalized averaging procedures and information gain definitions
underlying the generalized entropies. This novel generalized procedure is then
applied to Renyi and Tsallis entropies. The generalized entropy maximization
procedure for Renyi entropies results in the exponential stationary
distribution asymptotically for q is between [0,1] in contrast to the
stationary distribution of the inverse power law obtained through the ordinary
entropy maximization procedure. Another result of the generalized entropy
maximization procedure is that one can naturally obtain all the possible
stationary distributions associated with the Tsallis entropies by employing
either ordinary or q-generalized Fourier transforms in the averaging procedure.


title: Ergodic Capacity Analysis of Amplify-and-Forward MIMO Dual-Hop Systems

abstract:
  This paper presents an analytical characterization of the ergodic capacity of
amplify-and-forward (AF) MIMO dual-hop relay channels, assuming that the
channel state information is available at the destination terminal only. In
contrast to prior results, our expressions apply for arbitrary numbers of
antennas and arbitrary relay configurations. We derive an expression for the
exact ergodic capacity, simplified closed-form expressions for the high SNR
regime, and tight closed-form upper and lower bounds. These results are made
possible to employing recent tools from finite-dimensional random matrix theory
to derive new closed-form expressions for various statistical properties of the
equivalent AF MIMO dual-hop relay channel, such as the distribution of an
unordered eigenvalue and certain random determinant properties. Based on the
analytical capacity expressions, we investigate the impact of the system and
channel characteristics, such as the antenna configuration and the relay power
gain. We also demonstrate a number of interesting relationships between the
dual-hop AF MIMO relay channel and conventional point-to-point MIMO channels in
various asymptotic regimes.


title: Interference of heavy holes in an Aharonov-Bohm ring

abstract:
  We study the coherent transport of heavy holes through a one-dimensional ring
in the presence of spin-orbit coupling. Spin-orbit interaction of holes, cubic
in the in-plane components of momentum, gives rise to an angular momentum
dependent spin texture of the eigenstates and influences transport. We analyze
the dependence of the resulting differential conductance of the ring on hole
polarization of the leads and the signature of the textures in the
Aharonov-Bohm oscillations when the ring is in a perpendicular magnetic field.
We find that the polarization-resolved conductance reveals whether the dominant
spin-orbit coupling is of Dresselhaus or Rashba type, and that the cubic
spin-orbit coupling can be distinguished from the conventional linear coupling
by observing the four-peak structure in the Aharonov-Bohm oscillations.


title: Stochastic classical field model for polariton condensates

abstract:
  We use the truncated Wigner approximation to derive stochastic classical
field equations for the description of polariton condensates. Our equations are
shown to reduce to the Boltzmann equation in the limit of low polariton
density. Monte Carlo simulations are performed to analyze the momentum
distribution and the first and second order coherence when the particle density
is varied across the condensation threshold.


title:
The Zassenhaus variety of a reductive Lie algebra in positive
  characteristic

abstract:
  Let g be the Lie algebra of a connected reductive group G over an
algebraically closed field k of characteristic p>0. Let $Z$ be the centre of
the universal enveloping algebra U=U(g) of g. Its maximal spectrum is called
the Zassenhaus variety of g. We show that, under certain mild assumptions on G,
the field of fractions Frac(Z) of Z is G-equivariantly isomorphic to the
function field of the dual space g* with twisted G-action. In particular
Frac(Z) is rational. This confirms a conjecture J. Alev. Furthermore we show
that Z is a unique factorisation domain, confirming a conjecture of A. Braun
and C. Hajarnavis. Recently, A. Premet used the above result about Frac(Z), a
result of Colliot-Thelene, Kunyavskii, Popov and Reichstein and reduction mod p
arguments to show that the Gelfand-Kirillov conjecture cannot hold for simple
complex Lie algebras that are not of type A, C or G_2.


title:
Analytic equivalence of normal crossing functions on a real analytic
  manifold

abstract:
  By Hironaka Desingularization Theorem, any real analytic function has only
normal crossing singularities after a suitable modification. We focus on the
analytic equivalence of such functions with only normal crossing singularities.
We prove that for such functions $C^{\infty}$ right equivalence implies
analytic equivalence. We prove moreover that the cardinality of the set of
equivalence classes is zero or countable.


title: Gravitational collapse of homogeneous perfect fluid in HOG theories

abstract:
  This paper investigates the evolution of collapsing FRW models with a scalar
field having the potential which arises in the conformal frame of high order
gravity theories, coupled to matter described by a perfect fluid with energy
density $\rho$ and pressure $p$, obeying a barotropic equation of state. The
solutions are shown to evolve generically to a singular state in a finite time
and they are used as sources for radiating objects undergoing complete
gravitational collapse. Although these singularities may be naked in some
special case, it is shown that generically a black hole forms.


title: Central Exclusive Production of BSM Higgs bosons at the LHC

abstract:
  The prospects for central exclusive diffractive (CED) production of MSSM
Higgs bosons at the LHC are reviewed. These processes can provide important
information on the $\cp$-even Higgs bosons, allowing to probe interesting
regions of the $\MA$--$\tb$ parameter plane. The sensitivity of the searches in
the forward proton mode for the Higgs bosons in the so-called CDM-benchmark
scenarios and the effects of fourth-generation models on the CED Higgs
production are briefly discussed.


title: Trace Forms of Symbol Algebras

abstract:
  Let S be a symbol algebra. The trace form of S is computed and it is shown
how this form can be used to determine whether S is a division algebra or not.
In addition, the exterior powers of the trace form of S are computed.


title:
Possible creation of net circular polarization and not only
  depolarization of spectral lines by isotropic collisions

abstract:
  We will show that isotropic collisions of electrons and protons with neutral
hydrogen can lead to creation of net orientation of the atomic levels in the
presence of a magnetic field. Consequently, the emitted Stokes-V profile of the
spectral lines can be almost symmetric in contrast to the typical antisymmetric
signature of the Zeeman effect. Moreover, the amplitude of the symmetric lobe
can be significantly higher than the amplitude of the antisymmetric components.
This mechanism is caused by a $\pm{M}$ symmetry breaking of the collisional
transitions between different Zeeman sublevels. We will show an example of our
first results for the H$\alpha$ line. This new mechanism could perhaps explain
the net circular polarization of spectral lines observed in some solar limb
observations and which are currently not understood. However, our results are
very preliminary and more developments are needed for going further on.


title: On burning regimes and long duration X-ray bursts

abstract:
  Hydrogen and helium accreted onto a neutron star undergo thermonuclear
burning. Explosive burning is observed as a type I X-ray burst. We describe the
different burning regimes and focus on some of the current inconsistencies
between theory and observations. Of special interest are the rare kinds of
X-ray bursts such as carbon-fueled superbursts and helium-fueled intermediately
long X-ray bursts. These bursts are thought to originate deeper in the neutron
star envelope, such that they are probes of the thermal properties of the
crust. We investigate the possibility of observing superbursts with the
wide-field instruments INTEGRAL-ISGRI and Swift-BAT. We find that only the
brightest bursts are detectable.


title: Percolation in Networks with Voids and Bottlenecks

abstract:
  A general method is proposed for predicting the asymptotic percolation
threshold of networks with bottlenecks, in the limit that the sub-net mesh size
goes to zero. The validity of this method is tested for bond percolation on
filled checkerboard and "stack-of-triangle" lattices. Thresholds for the
checkerboard lattices of different mesh sizes are estimated using the gradient
percolation method, while for the triangular system they are found exactly
using the triangle-triangle transformation. The values of the thresholds
approach the asymptotic values of 0.64222 and 0.53993 respectively as the mesh
is made finer, consistent with a direct determination based upon the predicted
critical corner-connection probability.


title: Concentration of the integral norm of idempotents

abstract:
  This is a companion paper of a recent one, entitled {\sl Integral
concentration of idempotent trigonometric polynomials with gaps}. New results
of the present work concern $L^1$ concentration, while the above mentioned
paper deals with $L^p$-concentration.
  Our aim here is two-fold. At the first place we try to explain methods and
results, and give further straightforward corollaries. On the other hand, we
push forward the methods to obtain a better constant for the possible
concentration (in $L^1$ norm) of an idempotent on an arbitrary symmetric
measurable set of positive measure. We prove a rather high level
$\gamma_1>0.96$, which contradicts strongly the conjecture of Anderson et al.
that there is no positive concentration in $L^1$ norm.
  The same problem is considered on the group $\mathbb{Z}/q\mathbb{Z}$, with
$q$ say a prime number. There, the property of absolute integral concentration
of idempotent polynomials fails, which is in a way a positive answer to the
conjecture mentioned above. Our proof uses recent results of B. Green and S.
Konyagin on the Littlewood Problem.


title: Pixel Detectors for Charged Particles

abstract:
  Pixel Detectors, as the current technology of choice for the innermost vertex
detection, have reached a stage at which large detectors have been built for
the LHC experiments and a new era of developments, both for hybrid and for
monolithic or semi-monolithic pixel detectors is in full swing. This is largely
driven by the requirements of the upgrade programme for the superLHC and by
other collider experiments which plan to use monolithic pixel detectors for the
first time. A review on current pixel detector developments for particle
tracking and vertexing is given, comprising hybrid pixel detectors for superLHC
with its own challenges in radiation and rate, as well as on monolithic,
so-called active pixel detectors, including MAPS and DEPFET pixels for RHIC and
superBelle.


title: Electrostatics in soft matter

abstract:
  Recent progress in the understanding of the effect of electrostatics in soft
matter is presented. A vast amount of materials contains ions ranging from the
molecular scale (e.g., electrolyte) to the meso/macroscopic one (e.g., charged
colloidal particles or polyelectrolytes). Their (micro)structure and
physicochemical properties are especially dictated by the famous and
redoubtable long-ranged Coulomb interaction. In particular theoretical and
simulational aspects, including the experimental motivations, will be
discussed.


title:
Emergent Lorentz symmetry with vanishing velocity in a critical
  two-subband quantum wire

abstract:
  We consider a quantum wire with two subbands of spin-polarized electrons in
the presence of strong interactions. We focus on the quantum phase transition
when the second subband starts to get filled as a function of gate voltage.
Performing a one-loop renormalization group (RG) analysis of the effective
Hamiltonian, we identify the critical fixed-point theory as a conformal field
theory having an enhanced SU(2) symmetry and central charge 3/2. While the
fixed point is Lorentz invariant, the effective 'speed of light' nevertheless
vanishes at low energies due to marginally irrelevant operators leading to a
diverging critical specific heat coefficient.


title: Slip line growth as a critical phenomenon

abstract:
  We study the growth of slip line in a plastically deforming crystal by
numerical simulation of a double-ended pile-up model with a dislocation source
at one end, and an absorbing wall at the other end. In presence of defects, the
pile-up undergoes a second order non-equilibrium phase transition as a function
of stress, which can be characterized by finite size scaling. We obtain a
complete set of critical exponents and scaling functions that describe the
spatiotemporal dynamics of the slip line. Our findings allow to reinterpret
earlier experiments on slip line kinematography as evidence of a dynamic
critical phenomenon.


title: Effects of confinement and crowding on folding of model proteins

abstract:
  We perform molecular dynamics simulations for a simple coarse-grained model
of crambin placed inside of a softly repulsive sphere of radius R. The
confinement makes folding at the optimal temperature slower and affects the
folding scenarios, but both effects are not dramatic. The influence of crowding
on folding are studied by placing several identical proteins within the sphere,
denaturing them, and then by monitoring refolding. If the interactions between
the proteins are dominated by the excluded volume effects, the net folding
times are essentially like for a single protein. An introduction of
inter-proteinic attractive contacts hinders folding when the strength of the
attraction exceeds about a half of the value of the strength of the single
protein contacts. The bigger the strength of the attraction, the more likely is
the occurrence of aggregation and misfolding.


title:
Chandra and Swift observations of the quasi-persistent neutron star
  transient EXO 0748-676 back to quiescence

abstract:
  The quasi-persistent neutron star X-ray transient and eclipsing binary EXO
0748-676 recently started the transition to quiescence following an accretion
outburst that lasted more than 24 years. We report on two Chandra and twelve
Swift observations performed within five months after the end of the outburst.
The Chandra spectrum is composed of a soft, thermal component that fits to a
neutron star atmosphere model with kT^inf~0.12 keV, joined by a hard powerlaw
tail that contributes ~20% of the total 0.5-10 keV unabsorbed flux. The
combined Chandra/Swift data set reveals a relatively hot and luminous quiescent
system with a temperature of kT^inf~0.11-0.13 keV and a bolometric thermal
luminosity of ~8.1E33-1.6E34 (d/7.4 kpc)^2 erg/s. We discuss our results in the
context of cooling neutron star models.


title:
Dependence of response functions and orbital functionals on occupation
  numbers

abstract:
  Explicitly orbital-dependent approximations to the exchange-correlation
energy functional of density functional theory typically not only depend on the
single-particle Kohn-Sham orbitals but also on their occupation numbers in the
ground state Slater determinant. The variational calculation of the
corresponding exchange-correlation potentials with the Optimized Effective
Potential (OEP) method therefore also requires a variation of the occupation
numbers with respect to a variation in the effective single-particle potential,
which is usually not taken into account. Here it is shown under which
circumstances this procedure is justified.


title: On the non-Gaussianity from Recombination

abstract:
  The non-linear effects operating at the recombination epoch generate a
non-Gaussian signal in the CMB anisotropies. Such a contribution is relevant
because it represents a major part of the second-order radiation transfer
function which must be determined in order to have a complete control of both
the primordial and non-primordial part of non-Gaussianity in the CMB
anisotropies. We provide an estimate of the level of non-Gaussianity in the CMB
arising from the recombination epoch which shows up mainly in the equilateral
configuration. We find that it causes a contamination to the possible
measurement of the equilateral primordial bispectrum shifting the minimum
detectable value of the non-Gaussian parameter f^equil_NL by Delta f^equil_NL=
O(10) for an experiment like Planck.


title: Theory of Weak Localization in Ferromagnetic (Ga,Mn)As

abstract:
  We study quantum interference corrections to the conductivity in (Ga,Mn)As
ferromagnetic semiconductors using a model with disordered valence band holes
coupled to localized Mn moments through a p-d kinetic-exchange interaction. We
find that at Mn concentrations above 1% quantum interference corrections lead
to negative magnetoresistance, i.e. to weak localization (WL) rather than weak
antilocalization (WAL). Our work highlights key qualitative differences between
(Ga,Mn)As and previously studied toy model systems, and pinpoints the mechanism
by which exchange splitting in the ferromagnetic state converts valence band
WAL into WL. We comment on recent experimental studies and theoretical analyses
of low-temperature magnetoresistance in (Ga,Mn)As which have been variously
interpreted as implying both WL and WAL and as requiring an impurity-band
interpretation of transport in metallic (Ga,Mn)As.


title: The Barium Isotopic Abundance in the Metal-Poor Star HD140283

abstract:
  We derive the mixture of odd to even barium isotopes in the atmosphere of the
metal-poor subgiant HD140283 from the analysis of the Ba II transition at 455.4
nm in a high-resolution high signal-to-noise spectrum of the star. The detailed
shape of this spectral line depends on the relative contributions of odd and
even isotopes via isotopic and hyperfine splitting. We measure the fractional
abundance of odd Ba isotopes by modelling the formation of the Ba II 455.4 nm
line profile with the use of both a classical 1D hydrostatic and a 3D
hydrodynamical model atmosphere of HD140283. We interpret the results in terms
of contributions by the slow (s-) and rapid (r-) neutron-capture processes to
the isotopic mix. While the result of the 1D analysis of the Ba II feature
indicates a (64 +/- 36)% contribution of the r-process to the isotopic mix, the
3D analysis points toward a mere (15 +/- 34)% contribution from this process,
that is consistent with a solar-like mixture of barium isotopes.


title: On sl3 Knizhnik-Zamolodchikov equations and W3 null-vector equations

abstract:
  Starting from Sklyanin's separation of variables for the sl3 Yangian model,
we derive the separation of variables for the quantum sl3 Gaudin model. We use
the resulting new variables for rewriting the sl3 Knizhnik-Zamolodchikov
equations, and comparing them with certain null-vector equations in conformal
field theories with W3-algebra symmetry. The two sets of equations are
remarkably similar, but become identical only in the critical level limit. This
is in contrast to the sl2 Knizhnik-Zamolodchikov equations, which are known to
be equivalent to Belavin-Polyakov-Zamolodchikov equations for all values of the
level.


title:
Entanglement transmission and generation under channel uncertainty:
  Universal quantum channel coding

abstract:
  We determine the optimal rates of universal quantum codes for entanglement
transmission and generation under channel uncertainty. In the simplest scenario
the sender and receiver are provided merely with the information that the
channel they use belongs to a given set of channels, so that they are forced to
use quantum codes that are reliable for the whole set of channels. This is
precisely the quantum analog of the compound channel coding problem. We
determine the entanglement transmission and entanglement-generating capacities
of compound quantum channels and show that they are equal. Moreover, we
investigate two variants of that basic scenario, namely the cases of informed
decoder or informed encoder, and derive corresponding capacity results.


title:
Measurement of Angular Distributions of Drell-Yan Dimuons in $p + p$
  Interactions at 800 GeV/c

abstract:
  We report a measurement of the angular distributions of Drell-Yan dimuons
produced using an 800 GeV/c proton beam on a hydrogen target. The polar and
azimuthal angular distribution parameters have been extracted over the
kinematic range $4.5 < m_{\mu \mu} < 15$ GeV/c$^2$ (excluding the $\Upsilon$
resonance region), $0 < p_T < 4 $ GeV/c, and $0 < x_F < 0.8$. The $p+p$ angular
distributions are similar to those of $p+d$, and both data sets are compared
with models which attribute the $\cos 2 \phi$ distribution either to the
presence of the transverse-momentum-dependent Boer-Mulders structure function
$h_1^\perp$ or to QCD effects. The data indicate the presence of both
mechanisms. The validity of the Lam-Tung relation in $p+p$ Drell-Yan is also
tested.


title: Soft-Collinear Effective Theory: Recent Results and Applications

abstract:
  Soft-collinear effective theory (SCET) has become a standard tool to study
the factorization of short- and long-distance effects in processes involving
low-energetic (soft) particles and high-energetic/low-virtuality (collinear)
modes. In this contribution I give a brief overview on recent results for
inclusive and exclusive B decays and on applications in collider physics.


title:
Photophysical characterizations of 2-(4-Biphenylyl)-5 phenyl-1,3,4-
  oxadiazole in restricted geometry

abstract:
  Langmuir and Langmuir-Blodgett (LB) films of nonamphiphilic
2-(4-Biphenylyl)-5 phenyl-1,3,4- oxadiazole (abbreviated as PBD) mixed with
stearic acid (SA) as well as also with the inert polymer matrix poly(methyl
methacrylate) (PMMA) have been studied. Surface pressure versus area per
molecule (-A) isotherms studies suggest that PBD molecules very likely stand
vertically on the air-water interface and this arrangement allows the PBD
molecules to form stacks and remain sandwiched between SA/PMMA molecules. At
lower surface pressure phase separation between PBD and matrix molecules occur
resulting due to repulsive interaction. However at higher surface pressure PBD
molecules form aggregates. The UV-Vis absorption and Steady state fluorescence
spectroscopic studies of the mixed LB films of PBD reveal the nature of the
aggregates. H-type aggregates predominates in the mixed LB films whereas I-type
aggregates predominates in the PBD-PMMA spin coated films. The degree of
deformation produced in the electronic levels are largely affected by the film
thickness and the surface pressure of lifting.


title: Comments on : Frame dragging anomalies for rotating bodies

abstract:
  It is shown that Collas and Klein (ArXiv : 0811.2471 [gr-qc]) wrongly
concluded that "negative frame dragging" phenomenon takes place at all finite
$r$ and $z$ coordinate values . We argue that a test particle with zero angular
momentum counter-rotates with respect to the source in the "time machine"
region only. In addition, Bonnor's spacetime has an event horizon at $r_{H}$ =
0.


title:
Implementation of on-site velocity boundary conditions for D3Q19 lattice
  Boltzmann

abstract:
  On-site boundary conditions are often desired for lattice Boltzmann
simulations of fluid flow in complex geometries such as porous media or
microfluidic devices. The possibility to specify the exact position of the
boundary, independent of other simulation parameters, simplifies the analysis
of the system. For practical applications it should allow to freely specify the
direction of the flux, and it should be straight forward to implement in three
dimensions. Furthermore, especially for parallelized solvers it is of great
advantage if the boundary condition can be applied locally, involving only
information available on the current lattice site. We meet this need by
describing in detail how to transfer the approach suggested by Zou and He to a
D3Q19 lattice. The boundary condition acts locally, is independent of the
details of the relaxation process during collision and contains no artificial
slip. In particular, the case of an on-site no-slip boundary condition is
naturally included. We test the boundary condition in several setups and
confirm that it is capable to accurately model the velocity field up to second
order and does not contain any numerical slip.


title:
Single impurity operators at critical wrapping order in the
  beta-deformed N=4 SYM

abstract:
  We study the spectrum of one single magnon in the superconformal
beta-deformed N=4 SYM theory in the planar limit. We compute the anomalous
dimensions of one-impurity operators O_{1,L}= tr(phi Z^{L-1}), including
wrapping contributions at their critical order L.


title: Theory of the quantum Hall effect in graphene

abstract:
  We study the quantum Hall effect (QHE) in graphene based on the current
injection model. In our model, the presence of disorder, the edge-state
picture, extended states and localized states, which are believed to be
indispensable ingredients in describing the QHE, do not play an important role.
Instead the boundary conditions during the injection into the graphene sheet,
which are enforced by the presence of the Ohmic contacts, determine the
current-voltage characteristics.


title: TMDs and Drell-Yan Experiments at Fermilab and J-PARC

abstract:
  The roles of the Drell-Yan experiments in studying the
Transverse-Momentum-Dependent (TMD) parton distributions are discussed. Recent
results from the Fermilab E866 experiment on the angular distributions of
Drell-Yan dimuons in $p+p$ and $p+d$ at 800 GeV/c are presented. These data are
compared with the pion-induced Drell-Yan data, and with models which attribute
the $\cos 2 \phi$ azimuthal distribution to the presence of the
transverse-momentum-dependent Boer-Mulders structure function $h_1^\perp$.
Constraints on the magnitude of the sea-quark $h_1^\perp$ structure functions
are obtained. Future prospects for studying the TMDs with Drell-Yan experiments
at Fermilab and J-PARC are also discussed.


title:
Nonlinear transport and oscillating magnetoresistance in double quantum
  wells

abstract:
  We study the evolution of low-temperature magnetoresistance in double quantum
wells in the region below 1 Tesla as the applied current density increases. A
flip of the magneto-intersubband oscillation peaks, which occurs as a result of
the current-induced inversion of the quantum component of resistivity, is
observed. We also see splitting of these peaks as another manifestation of
nonlinear behavior, specific for the two-subband electron systems. The
experimental results are quantitatively explained by the theory based on the
kinetic equation for the isotropic non-equilibrium part of electron
distribution function. The inelastic scattering time is determined from the
dependence of the inversion magnetic field on the current.


title:
Two-dimensional magnetism in the pnictide superconductor parent material
  SrFeAsF probed by muon-spin relaxation

abstract:
  We report muon-spin relaxation measurements on SrFeAsF, which is the parent
compound of a newly discovered iron-arsenic-fluoride based series of
superconducting materials. We find that this material has very similar magnetic
properties to LaFeAsO, such as separated magnetic and structural transitions
(TN = 120 K, Ts = 175 K), contrasting with SrFe2As2 where they are coincident.
The muon oscillation frequencies fall away very sharply at TN, which suggests
that the magnetic exchange between the layers is weaker than in comparable
oxypnictide compounds. This is consistent with our specific heat measurements,
which find that the entropy change S = 0.05 J/mol/K largely occurs at the
structural transition and there is no anomaly at TN.


title: Four-modulus "Swiss Cheese" chiral models

abstract:
  We study the 'Large Volume Scenario' on explicit, new, compact, four-modulus
Calabi-Yau manifolds. We pay special attention to the chirality problem pointed
out by Blumenhagen, Moster and Plauschinn. Namely, we thoroughly analyze the
possibility of generating neutral, non-perturbative superpotentials from
Euclidean D3-branes in the presence of chirally intersecting D7-branes. We find
that taking proper account of the Freed-Witten anomaly on non-spin cycles and
of the Kaehler cone conditions imposes severe constraints on the models.
Nevertheless, we are able to create setups where the constraints are solved,
and up to three moduli are stabilized.


title: Climate Sensitivity and the Response of Temperature to CO$_2$

abstract:
  A review of some of the evidence for the IPCC's conclusion that doubling
CO$_2$ levels will warm Earth significantly, in contrast to the claims of a
recent article$^1$. Simply looking at raw temperature and CO$_2$ data over the
past 150 years gives a transient response of roughly 2 K per doubling, in good
agreement with IPCC conclusions based on far more extensive analysis. The 0.58
K of Ref. 1 is very unlikely.


title: Coagulation, diffusion and the continuous Smoluchowski equation

abstract:
  The Smoluchowski equation is a system of partial differential equations
modelling the diffusion and binary coagulation of a large collection of tiny
particles. The mass parameter may be indexed either by positive integers, or by
positive reals, these corresponding to the discrete or the continuous form of
the equations. In dimension at least 3, we derive the continuous Smoluchowski
PDE as a kinetic limit of a microscopic model of Brownian particles liable to
coalesce, using a similar method to that used to derive the discrete form of
the equations in Hammond and Rezakhanlou [4]. The principal innovation is a
correlation-type bound on particle locations that permits the derivation in the
continuous context while simplifying the arguments of [4]. We also comment on
the scaling satisfied by the continuous Smoluchowski PDE, and its potential
implications for blow-up of solutions of the equations.


title: Quadratic perturbations of quadratic codimension-four centers

abstract:
  We study the stratum in the set of all quadratic differential systems
$\dot{x}=P_2(x,y), \dot{y}=Q_2(x,y)$ with a center, known as the
codimension-four case $Q_4$. It has a center and a node and a rational first
integral. The limit cycles under small quadratic perturbations in the system
are determined by the zeros of the first Poincar\'e-Pontryagin-Melnikov
integral $I$. We show that the orbits of the unperturbed system are elliptic
curves, and $I$ is a complete elliptic integral. Then using Picard-Fuchs
equations and the Petrov's method (based on the argument principle), we set an
upper bound of eight for the number of limit cycles produced from the period
annulus around the center.


title: Frozen Footprints

abstract:
  Bibliometrics has the ambitious goal of measuring science. To this end, it
exploits the way science is disseminated trough scientific publications and the
resulting citation network of scientific papers. We survey the main historical
contributions to the field, the most interesting bibliometric indicators, and
the most popular bibliometric data sources. Moreover, we discuss distributions
commonly used to model bibliometric phenomena and give an overview of methods
to build bibliometric maps of science.


title: Some remarks on one-dimensional force-free Vlasov-Maxwell equilibria

abstract:
  The conditions for the existence of force-free non-relativistic
translationally invariant one-dimensional (1D) Vlasov-Maxwell (VM) equilibria
are investigated using general properties of the 1D VM equilibrium problem. As
has been shown before, the 1D VM equilibrium equations are equivalent to the
motion of a pseudo-particle in a conservative pseudo-potential, with the
pseudo-potential being proportional to one of the diagonal components of the
plasma pressure tensor. The basic equations are here derived in a different way
to previous work. Based on this theoretical framework, a necessary condition on
the pseudo-potential (plasma pressure) to allow for force-free 1D VM equilibria
is formulated. It is shown that linear force-free 1D VM solutions, which so far
are the only force-free 1D VM solutions known, correspond to the case where the
pseudo-potential is an attractive central potential. A general class of
distribution functions leading to central pseudo-potentials is discussed.


title: Effects of time delay in feedback control of linear quantum systems

abstract:
  We investigate feedback control of linear quantum systems subject to
feedback-loop time delays. In particular, we examine the relation between the
potentially achievable control performance and the time delays, and provide
theoretical guidelines for the future experimental setup in two physical
systems, which are typical in this research field. The evaluation criterion for
the analysis is given by the optimal control performance formula, the
derivation of which is from the classical control theoretic results about the
input-output delay systems.


title: Matrix Ansatz, lattice paths and rook placements

abstract:
  We give two combinatorial interpretations of the Matrix Ansatz of the PASEP
in terms of lattice paths and rook placements. This gives two (mostly)
combinatorial proofs of a new enumeration formula for the partition function of
the PASEP. Besides other interpretations, this formula gives the generating
function for permutations of a given size with respect to the number of ascents
and occurrences of the pattern 13-2, the generating function according to weak
exceedances and crossings, and the n-th moment of certain q-Laguerre
polynomials.


title:
Tachyon-Dilaton-induced Inflation as an alpha'-resummed String
  Background

abstract:
  Within the framework of a novel functional method on the world-sheet of the
string, we discuss simple but re-summed (in the Regge slope) inflationary
scenarios in the context of closed Bosonic strings, living in four target-space
dimensions, in the presence of non-trivial tachyon, dilaton and graviton
cosmological backgrounds. The inflationary solutions are argued to guarantee
the vanishing of the corresponding Weyl anomaly coefficients in a given
world-sheet renormalization scheme, thereby ensuring conformal invariance of
the corresponding sigma-model to all orders in the Regge slope. The key
property is the requirement of "homogeneity" of the corresponding Weyl anomaly
coefficients. Inflation entails appropriate relations between the dilaton and
tachyon field configurations, whose form can lead to either a de Sitter vacuum,
incompatible though (due to the cosmic horizons) with the perturbative string
scattering amplitudes, or to cosmic space-times involving brief inflationary
periods, interpolating smoothly between power-law and/or Minkowski Universes.
The latter situation is characterized by well-defined scattering amplitudes,
and is thus compatible with a perturbative string framework. It is this
scenario that we consider a self-consistent ground state in our framework,
which is based on local field redefinitions of background fields.


title: Superfluidity of a perfect quantum crystal

abstract:
  In recent years, experimental data were published which point to the
possibility of the existence of superfluidity in solid helium. To investigate
this phenomenon theoretically we employ a hierarchy of equations for reduced
density matrices which describes a quantum system that is in thermodynamic
equilibrium below the Bose-Einstein condensation point, the hierarchy being
obtained earlier by the author. It is shown that the hierarchy admits solutions
relevant to a perfect crystal (immobile) in which there is a frictionless flow
of atoms, which testifies to the possibility of superfluidity in ideal solids.
The solutions are studied with the help of the bifurcation method and some
their peculiarities are found out. Various physical aspects of the problem,
among them experimental ones, are discussed as well.


title: Brane-Wor(l)ds within Brans-Dicke Gravity

abstract:
  We review some recent results obtained from the application of the
Gauss-Codazzi formalism to brane-worlds models in the Brans-Dicke gravity. The
cases of 4-branes embedded in a six-dimensional with and without
$\mathbb{Z}_{2}$ symmetry are both analyzed.


title: The Hubble flow around the Local Group

abstract:
  We use updated data on distances and velocities of galaxies in the proximity
of the Local Group (LG) in order to establish properties of the local Hubble
flow. For 30 neighbouring galaxies with distances 0.7 < D_LG < 3.0 Mpc, the
Local flow is characterized by the Hubble parameter H_loc = (78+/-2)
km/(s*Mpc), the mean-square peculiar velocity sigma_v = 25 km/s, corrected for
errors of radial velocity measurements (~4 km/s) and distance measurements (~10
km/s), as well as the radius of the zero-velocity surface R_0 = (0.96+/-0.03)
Mpc. The minimum value for sigma_v is achieved when the barycenter of the LG is
located at the distance D_c = (0.55+/-0.05) D_M31 towards M31 corresponding to
the Milky Way-to-M31 mass ratio M_MW / M_M31 ~ 4/5. In the reference frame of
the 30 galaxies at 0.7 - 3.0 Mpc, the LG barycenter has a small peculiar
velocity ~(24+/-4) km/s towards the Sculptor constellation. The derived value
of R_0 corresponds to the total mass M_T(LG) = (1.9+/-0.2) 10^12 M_sun with
Omega_m = 0.24 and a topologically flat universe, a value in good agreement
with the sum of virial mass estimates for the Milky Way and M31.


title: On the growth and stability of Trojan planets

abstract:
  We investigate the stability of those low-mass Trojan planets that form in a
protoplanetary disc and subsequently accrete gas to become gas giants. We
calculate their evolution before, during, and after gas disc dispersal. A
two-dimensional hydrodynamics code combined with an N-body solver is used to
evolve the system of disc and planets. Gas disc dispersal is simulated in a
simple manner by assuming global exponential decay of the disc mass, leading to
the stalling of migration after semi-major axes have approximately halved from
their initial values. We consider Trojan pairs with different initial masses
and gas accretion rates and gas disc models with different masses and
viscosities. An N-body code, adapted to model disc forces, is used to examine
large-scale migration and the formation of very short period Trojan planets.
For each combination of planetary pair and disc model that we consider in our
hydrodynamic simulations, each Trojan system remains stable before, during, and
after disc dispersal. The long-term stability of these systems in the absence
of gas is tested using N-body simulations, and all systems remain stable for
those evolution times equal to 10^9 years. Eccentricities remain low (e<0.02)
in all cases. Increases in the amplitude of libration about the L4/L5 Lagrange
points accompany the inward migration, and during very large-scale migration
Trojan systems may be disrupted prior to the onset of disc dispersal. The
stability of Trojan pairs during rapid type I migration, during the transition
to type II migration with the accompanying gap formation in the gas disc, and
during gas loss when the disc disperses, indicates that isolated Trojan planet
systems are very stable. If a common mechanism exists for their formation, we
suggest they may be readily observed in nature.


title: Critical behavior at Mott-Anderson transition: a TMT-DMFT perspective

abstract:
  We present a detailed analysis of the critical behavior close to the
Mott-Anderson transition. Our findings are based on a combination of numerical
and analytical results obtained within the framework of Typical-Medium Theory
(TMT-DMFT) - the simplest extension of dynamical mean field theory (DMFT)
capable of incorporating Anderson localization effects. By making use of
previous scaling studies of Anderson impurity models close to the
metal-insulator transition, we solve this problem analytically and reveal the
dependence of the critical behavior on the particle-hole symmetry. Our main
result is that, for sufficiently strong disorder, the Mott-Anderson transition
is characterized by a precisely defined two-fluid behavior, in which only a
fraction of the electrons undergo a "site selective" Mott localization; the
rest become Anderson-localized quasiparticles.


title: Pricing financial derivatives by a minimizing method

abstract:
  We shall study backward stochastic differential equations and we will present
a new approach for the existence of the solution. This type of equation appears
very often in the valuation of financial derivatives in complete markets.
Therefore, the identification of the solution as the unique element in a
certain Banach space where a suitably chosen functional attains its minimum
becomes interesting for numerical computations.


title:
Comparison of crystal structures and effects of Co substitution in a new
  member of Fe-1111 superconductor family AeFeAsF(Ae = Ca and Sr): a possible
  candidate for higher Tc superconductor

abstract:
  We refined crystal structures of newly found members of the Fe-1111
superconductor family, CaFe\_{1-x}Co\_{x}AsF and SrFe\_{1-x}Co\_{x}AsF (x = 0,
0.06, 0.12) by powder synchrotron X-ray diffraction analysis. The tetragonal to
orthorhombic phase transitions were observed at ~120 K for unsubstituted
CaFeAsF and at ~180 K for unsubstituted SrFeAsF, the transition temperatures
agreeing with kinks observed in temperature-dependent resistivity curves.
Although the transition temperature decreases, the structural phase transitions
were observed below 100 K in both samples of x = 0.06, and finally they were
suppressed in the doping level of x = 0.12. The refined structures reveal that
distortions of the FeAs4 tetrahedron from the regular tetrahedron likely
originate from mismatches in atomic radii among the constituent elements. In
this system, the enlarged FeAs4 tetrahedron resulting from larger radius of Sr
than that of Ca is flattened along a-b plane, whereas the smaller radius of Ca
makes the tetrahedron closer to regular one, and their characteristic shapes
are further enhanced by Co substitution. These results suggest that the CaFeAsF
compound is a promising candidate for higher-Tc superconductor.


title: On the Kontsevich integral for knotted trivalent graphs

abstract:
  We construct an extension of the Kontsevich integral of knots to knotted
trivalent graphs, which commutes with orientation switches, edge deletions,
edge unzips, and connected sums. In 1997 Murakami and Ohtsuki [MO] first
constructed such an extension, building on Drinfel'd's theory of associators.
We construct a step by step definition, using elementary Kontsevich integral
methods, to get a one-parameter family of corrections that all yield invariants
well behaved under the graph operations above.


title:
Phase diagram of the non-uniform chiral condensate in different
  regularization schemes at T=0

abstract:
  We show that the qualitative picture of the phase diagram which includes the
non-uniform chiral phase and 2SC superconducting phase is independent of the
considered regularization schemes. We also demonstrate that the quantitative
results agree with each other reasonably for the set of so called
"relativistic" regularization schemes. On the other hand the "non-relativistic"
momentum cut-off is clearly differ from the others.


title: Open Wilson Lines and Chiral Condensates in Thermal Holographic QCD

abstract:
  We investigate various aspects of a proposal by Aharony and Kutasov
arXiv:0803.3547 [hep-th] for the gravity dual of an open Wilson line in the
Sakai-Sugimoto model or its non-compact version. In particular, we use their
proposal to determine the effect of finite temperature, as well as background
electric and magnetic fields, on the chiral symmetry breaking order parameter.
We also generalize their prescription to more complicated worldsheets and
identify the operators dual to such worldsheets.


title: Ultracold polar molecules near quantum degeneracy

abstract:
  We report the creation and characterization of a near quantum-degenerate gas
of polar $^{40}$K-$^{87}$Rb molecules in their absolute rovibrational ground
state. Starting from weakly bound heteronuclear KRb Feshbach molecules, we
implement precise control of the molecular electronic, vibrational, and
rotational degrees of freedom with phase-coherent laser fields. In particular,
we coherently transfer these weakly bound molecules across a 125 THz frequency
gap in a single step into the absolute rovibrational ground state of the
electronic ground potential. Phase coherence between lasers involved in the
transfer process is ensured by referencing the lasers to two single components
of a phase-stabilized optical frequency comb. Using these methods, we prepare a
dense gas of $4\cdot10^4$ polar molecules at a temperature below 400 nK. This
fermionic molecular ensemble is close to quantum degeneracy and can be
characterized by a degeneracy parameter of $T/T_F=3$. We have measured the
molecular polarizability in an optical dipole trap where the trap lifetime
gives clues to interesting ultracold chemical processes. Given the large
measured dipole moment of the KRb molecules of 0.5 Debye, the study of quantum
degenerate molecular gases interacting via strong dipolar interactions is now
within experimental reach.


title:
Inclusive hadronic distributions in jets and sub-jets with jet axis from
  color current

abstract:
  The hadronic $\kt$-spectrum and the gluon to quark average multiplicity ratio
$r=N_g/N_q$ inside a high energy sub-jet are determined from a precise
definition of the jet axis, including corrections of relative magnitude ${\cal
O}(\sqrt{\alpha_s})$ with respect to the Modified Leading Logarithmic
Approximation (MLLA), in the limiting spectrum approximation (assuming an
infrared cut-off $Q_0 =\lqcd$). The results for the $\kt$-spectrum in the
limiting spectrum approximation are found to be, after normalization, in
impressive agreement with measurements by the CDF collaboration and the ratio
has not been measured yet.


title:
Radiative corrections to the three-body region of the Dalitz plot of
  baryon semileptonic decays with angular correlation between polarized emitted
  baryons and charged leptons: The initial-baryon rest frame case

abstract:
  We complement the results for the radiative corrections to the s2.l angular
correlation of baryon semileptonic decays of Ref. [1] with the final results in
the rest frame of the decaying baryon.


title:
Dynamic non-null magnetic reconnection in three dimensions - II.
  Composite solutions

abstract:
  In this series of papers we examine magnetic reconnection in a domain where
the magnetic field does not vanish and the non-ideal region is localised in
space. In a previous paper we presented a technique for obtaining analytical
solutions to the stationary resistive MHD equations in such a situation and
examined specific examples of non-ideal reconnective solutions. Here we further
develop the model, noting that certain ideal solutions may be superimposed onto
the fundamental non-ideal solutions and examining the effect of imposing
various such flows. Significant implications are found for the evolution of
magnetic flux in the reconnection process. It is shown that, in contrast to the
two-dimensional case, in three-dimensions there is a very wide variety of
physically different steady reconnection solutions.


title: Event generation with SHERPA 1.1

abstract:
  In this paper the current release of the Monte Carlo event generator Sherpa,
version 1.1, is presented. Sherpa is a general-purpose tool for the simulation
of particle collisions at high-energy colliders. It contains a very flexible
tree-level matrix-element generator for the calculation of hard scattering
processes within the Standard Model and various new physics models. The
emission of additional QCD partons off the initial and final states is
described through a parton-shower model. To consistently combine multi-parton
matrix elements with the QCD parton cascades the approach of Catani, Krauss,
Kuhn and Webber is employed. A simple model of multiple interactions is used to
account for underlying events in hadron--hadron collisions. The fragmentation
of partons into primary hadrons is described using a phenomenological
cluster-hadronisation model. A comprehensive library for simulating tau-lepton
and hadron decays is provided. Where available form-factor models and matrix
elements are used, allowing for the inclusion of spin correlations; effects of
virtual and real QED corrections are included using the approach of Yennie,
Frautschi and Suura.


title:
Recurrence and transience for long-range reversible random walks on a
  random point process

abstract:
  We consider reversible random walks in random environment obtained from
symmetric long--range jump rates on a random point process. We prove almost
sure transience and recurrence results under suitable assumptions on the point
process and the jump rate function. For recurrent models we obtain almost sure
estimates on effective resistances in finite boxes. For transient models we
construct explicit fluxes with finite energy on the associated electrical
network.


title:
Role of final state interaction and of three-body force on the
  longitudinal response function of 4He

abstract:
  We present an ab-initio calculation of the longitudinal electron scattering
response function off 4He with two- and three-nucleon forces and compare to
experimental data. The full four-body continuum dynamics is considered via the
Lorentz integral transform method. The importance of the final state
interaction is shown at various energies and momentum transfers q. The
three-nucleon force reduces the quasi-elastic peak by 10% for q between 300 and
500 MeV/c. Its effect increases significantly at lower q, up to about 40% at
q=100 MeV/c. At very low q, however, data are missing.


title: Electron correlations in Co$_2$Mn$_{1-x}$Fe$_x$Si Heusler compounds

abstract:
  This study presents the effect of local electronic correlations on the
Heusler compounds Co$_2$Mn$_{1-x}$Fe$_x$Si as a function of the concentration
$x$. The analysis has been performed by means of first-principles
band-structure calculations based on the local approximation to spin-density
functional theory (LSDA). Correlation effects are treated in terms of the
Dynamical Mean-Field Theory (DMFT) and the LSDA+U approach. The formalism is
implemented within the Korringa-Kohn-Rostoker (KKR) Green's function method.
  In good agreement with the available experimental data the magnetic and
spectroscopic properties of the compound are explained in terms of strong
electronic correlations. In addition the correlation effects have been analysed
separately with respect to their static or dynamical origin. To achieve a
quantitative description of the electronic structure of
Co$_2$Mn$_{1-x}$Fe$_x$Si both static and dynamic correlations must be treated
on equal footing.


title: On the graded center of the stable category of a finite $p$-group

abstract:
  We show that for any finite $p$-group $P$ of rank at least 2 and any
algebraically closed field $k$ of characteristic $p$ the graded center
$Z^*(\modbar(kP))$ of the stable module category of finite-dimensional
$kP$-modules has infinite dimension in each odd degree, and if $p=2$ also in
each even degree. In particular, this provides examples of symmetric algebras
$A$ for which $Z^0(\modbar(A))$ is not finite-dimensional, answering a question
raised in [10]


title: On (n,d)-perfect rings

abstract:
  In this paper, we introduce the notion of "(n,d)-perfect rings" which is in
some way a generalization of the notion of "S-rings". After we give some basic
results of this rings and we survey the relationship between "A(n) property"
and "(n,d)-perfect property". Finally, we investigate the "(n,d)-perfect
property" in pullback rings.


title: A candidate for a solution to Wall's D(2) problem

abstract:
  We show that Wall's D(2) problem, the Realization problem and the Relation
Gap problem could all be solved if it could be shown that the deficiency of a
certain group is, as intuition would suggest, less than -1.
  Note the paper has been withdrawn. A presentation of *_p (C_p x C_p)with
deficiency -1 is given on p35 of: Cynthia Hog-Angeloni, Beitrage zum
(einfachen) homotopietyp zweidimensionaler komplexe zu freein produkten und
anderen gruppentheoretischen konstruktionen : PhD thesis, Frankfurt/Main 1988


title: Braneworlds with timelike extra-dimension

abstract:
  In this work, we consider a braneworld model with a timelike extra-dimension.
There are strong constraints to the parameter values of such a model resulting
from the claim that there must be a physical solution to the Friedmann equation
at least between now and the time of recombination. We fitted the model to
supernova type Ia data and checked the consistency of the result with other
observations. For parameter values that are consistent with observations, the
braneworld model is indistinguishable from a LambdaCDM universe as far as the
considered cosmological tests are concerned.


title:
Channel State Prediction, Feedback and Scheduling for a Multiuser
  MIMO-OFDM Downlink

abstract:
  We consider the downlink of a MIMO-OFDM wireless systems where the
base-station (BS) has M antennas and serves K single-antenna user terminals
(UT) with K larger than or equal to M. Users estimate their channel vectors
from common downlink pilot symbols and feed back a prediction, which is used by
the BS to compute the linear beamforming matrix for the next time slot and to
select the users to be served according to the proportional fair scheduling
(PFS) algorithm. We consider a realistic physical channel model used as a
benchmark in standardization and some alternatives for the channel estimation
and prediction scheme. We show that a parametric method based on ESPRIT is able
to accurately predict the channel even for relatively high user mobility.
However, there exists a class of channels characterized by large Doppler spread
(high mobility) and clustered angular spread for which prediction is
intrinsically difficult and all considered methods fail. We propose a modified
PFS that take into account the "predictability" state of the UTs, and
significantly outperform the classical PFS in the presence of prediction
errors. The main conclusion of this work is that multiuser MIMO downlink yields
very good performance even in the presence of high mobility users, provided
that the nonpredictable users are handled appropriately


title:
Noise-driven informatics: secure classical communications via wire and
  noise-based computing

abstract:
  In this paper, we show recent results indicating that using electrical noise
as information carrier offers outstanding potentials reminding of quantum
informatics. One example is noise-based computing and logic that shows certain
similarities to quantum logic. However, due to the lack of the collapse of
wavefunction and due to the immediate accessibility of superposition
components, the use of noise-based and quantum computers will probably be
different. Another example is secure communications where, out of the
unconditional security at idealistic situations, a practical security beyond
known quantum solutions can be achieved and has been demonstrated. Here the
keys to security are the robustness of classical information, and the second
law of thermodynamics. These offer the avoidance of making error statistics and
single bit security. It has the potential to restrict the practical
applications of quantum communicators to the situations where no wire can be
used but optical communication via fiber or via space is possible.


title: The Mayer-Vietoris principle for Grothendieck-Witt groups of schemes

abstract:
  We prove localization and Zariski-Mayer-Vietoris for higher Grothendieck-Witt
groups, alias hermitian $K$-groups, of schemes admitting an ample family of
line-bundles. No assumption on the characteristic is needed, and our schemes
can be singular. Along the way, we prove additivity, fibration and
approximation theorems for the hermitian $K$-theory of exact categories with
weak equivalences and duality.


title:
Breakdown of the rotating-wave approximation in entanglement description
  of spin anti-correlated states

abstract:
  It is well established that an entanglement encoded in the Bell states of a
two-qubit system with correlated spins exhibits completely different evolution
properties than that encoded in states with the anti-correlated spins. A
complete and abrupt loss of the entanglement, called the entanglement sudden
death, can be found to occur for the spin correlated states, but the
entanglement evolves without any discontinuity or decays asymptotically for the
spin anti-correlated states. We consider the evolution of an initial
entanglement encoded in the spin anti-correlated states and demonstrate that
the asymptotic behavior predicted before occurs only in the weak coupling limit
or equivalently when the rotating-wave approximation (RWA) is made on the
interaction Hamiltonian of the qubits with the field. If we do not restrict
ourselves to the RWA, we find that the entanglement undergoes a discontinuity,
the sudden death phenomenon. We illustrate this behavior by employing an
efficient scheme for entanglement evolution between two cold-trapped atoms
located inside a single-mode cavity. Although only a single excitation is
initially present in the system, we find that the two-photon excited state,
which plays the key role for the discontinuity in the behavior of the
entanglement, gains a population over a short time of the evolution. When the
RWA is made on the interaction, the two-photon excited state remains
unpopulated for all times and the discontinuity is absent. We attribute this
phenomenon to the principle of complementarity between the evolution time and
energy, and the presence of the counter-rotating terms in the interaction
Hamiltonian.


title:
Mixed valency in cerium oxide crystallographic phases: Determination of
  valence of the different cerium sites by the bond valence method

abstract:
  We have applied the bond valence method to cerium oxides to determine the
oxidation states of the Ce ion at the various site symmetries of the crystals.
The crystals studied include cerium dioxide and the two sesquioxides along with
some selected intermediate phases which are crystallographically well
characterized. Our results indicate that cerium dioxide has a mixed-valence
ground state with an f-electron population on the Ce site of 0.27 while both
the A- and C-sesquioxides have a nearly pure f^1 configuration. The Ce sites in
most of the intermediate oxides have non-integral valences. Furthermore, many
of these valences are different from the values predicted from a naive
consideration of the stoichiometric valence of the compound.


title:
Lattice Gluon Propagator in the Landau Gauge: A Study Using Anisotropic
  Lattices

abstract:
  Lattice gluon propagators are studied using tadpole and Symanzik improved
gauge action in Landau gauge. The study is performed using anisotropic lattices
with asymmetric volumes. The Landau gauge dressing function for the gluon
propagator measured on the lattice is fitted according to a leading power
behavior: $Z(q^2)\simeq (q^2)^{2\kappa}$ with an exponent $\kappa$ at small
momenta. The gluon propagators are also fitted using other models and the
results are compared. Our result is compatible with a finite gluon propagator
at zero momentum in Landau gauge.


title:
The theory of disconjugacy for a second order linear differential
  equation

abstract:
  This is an introduction to the theory of disconjugacy for a second order
linear differential equation. We give new proofs of some of basic results and
obtain new sufficient conditions for disconjugacy (in particular, on the whole
real axis).


title:
Apparent violation of equipartition of energy in constrained dynamical
  systems

abstract:
  We propose a planar chain system, which is a simple mechanical system with a
constraint. It is composed of $N$ masses connected by $N-1$ light links. It can
be considered as a model of a chain system, e.g., a polymer, in which each bond
is replaced by a rigid link. The long time average of the kinetic energies of
the masses in this model is numerically computed. It is found that the average
kinetic energies of the masses are different and masses near the ends of the
chain have large energies. We explain that this result is not in contradiction
with the principle of equipartition. The apparent violation of equipartition is
observed not only in the planar chain systems but also in other constrained
systems. We derive an approximate expression for the average kinetic energy,
which is in qualitative agreement with the numerical results.


title: Hadrons in AdS / QCD correspondence

abstract:
  We present an holographical soft wall model which is able to reproduce not
only Regge spectra for hadrons with arbitrary integer spin, but also with spin
1/2 and 3/2, and with an arbitrary number of constituents. The model includes
the anomalous dimension of operators than create hadrons, together with a
dilaton, whose form is suggested by Einstein equations and the AdS metric.


title:
Spin susceptibility and effective mass of two-dimensional electrons in
  MgxZn1-xO/ZnO heterostructures

abstract:
  We report measurements of the spin susceptibility and the electron effective
mass for two-dimensional electrons confined at the interfaces of MgxZn1-xO/ZnO
single heterostructures (x = 0.05, 0.08, and 0.11), grown by molecular-beam
epitaxy on (0001) ZnO substrates. By tuning the built-in polarization through
control of the barrier composition, the electron density was systematically
varied in the range of 5.6 x 10^11 to 1.6 x 10^12 cm^-2, corresponding to a
range of 3.1 < rs < 5.2, where rs is the average electron spacing measured in
units of the effective Bohr radius. We used the coincidence technique, where
crossings of the spin-split Landau levels occur at critical tilt angles of
magnetic field, to evaluate the spin susceptibility. In addition, we determined
the effective mass from the temperature dependence of the Shubnikov-de Haas
oscillations measured at the coincidence conditions. The susceptibility and the
effective mass both gradually increase with decreasing electron density,
reflecting the role of electron-electron interaction.


title: A new Concept of Ball Lightning

abstract:
  We suggest that the ball lightning (BL) is a weakly ionized gas, in which the
electromagnetic radiation can be accumulated through the Bose-Einstein
condensation and/or the photon trapping in the plasma density well. We derive
the set of equations describing the stability of BL, and show that the BL
moving along charged surface becomes unstable. Eventually the instability leads
to explosion of BL and release of energy of the trapped photons and/or the
Bose-Einstein condensate.


title: Transformations of hypergeometric elliptic integrals

abstract:
  The paper classifies algebraic transformations of Gauss hypergeometric
functions with the local exponent differences $(1/2,1/4,1/4)$, $(1/2,1/3,1/6)$
and $(1/3,1/3,1/3)$. These form a special class of algebraic transformations of
Gauss hypergeometric functions, of arbitrary high degree. The Gauss
hypergeometric functions can be identified as elliptic integrals on the genus 1
curves $y=x^3-x$ or $y=x^3-1$. Especially interesting are algebraic
transformations of the hypergeometric functions into themselves; these
transformations come from isogenies of the respective elliptic curves.


title:
The Ascending Chain Condition for log canonical thresholds on l.c.i.
  varieties

abstract:
  Shokurov's ACC Conjecture says that the set of all log canonical thresholds
on varieties of bounded dimension satisfies the Ascending Chain Condition. This
conjecture was proved for log canonical thresholds on smooth varieties in
[EM1]. Here we use this result and inversion of adjunction to establish the
conjecture for locally complete intersection varieties.


title: Local spin and charge properties of beta-Ag0.33V2O5 studied by 51V NMR

abstract:
  Local spin and charge properties were studied on beta-Ag0.33V2O5, a
pressure-induced superconductor, at ambient pressure using 51V-NMR and
zero-field-resonance (ZFR) techniques. Three inequivalent Vi sites (i=1, 2, and
3) were identified from 51V-NMR spectra and the principal axes of the
electric-field-gradient (EFG) tensor were determined in a metallic phase and
the following charge-ordering phase. We found from the EFG analysis that the V1
sites are in a similar local environment to the V3 sites. This was also
observed in ZFR spectra as pairs of signals closely located with each other.
These results are well explained by a charge-sharing model where a 3d1 electron
is shared within a rung in both V1-V3 and V2-V2 two-leg ladders.


title: Behavior of tachyon in string cosmology based on gauged WZW model

abstract:
  We investigate a string theoretic cosmological model in the context of the
gauged Wess-Zumino-Witten model. Our model is based on a product of non-compact
coset space and a spectator flat space; $[SL(2,R)/U(1)]_k \times {\bf R}^2$. We
extend the formerly studied semiclassical consideration with infinite Kac-Moody
level $k$ to a finite one. In this case, the tachyon field appears in the
effective action, and we solve the Einstein equation to determine the behavior
of tachyon as a function of time. We find that tachyon field dominates over
dilaton field in early times. In particular, we consider the energy conditions
of the matter fields consisting of the dilaton and the tachyon which affect the
initial singularity. We find that not only the strong energy but also the null
energy condition is violated.


title:
Difficulties in Probing Nuclear Physics: A Study of $^{44}$Ti and
  $^{56}$Ni

abstract:
  The nucleosynthetic yield from a supernova explosion depends upon a variety
of effects: progenitor evolution, explosion process, details of the nuclear
network, and nuclear rates. Especially in studies of integrated stellar yields,
simplifications reduce these uncertainties. But nature is much more complex,
and to actually study nuclear rates, we will have to understand the full,
complex set of processes involved in nucleosynthesis. Here we discuss a few of
these complexities and detail how the NuGrid collaboration will address them.


title:
NuGrid: Toward High Precision Double-Degenerate Merger Simulations with
  SPH in 3D

abstract:
  We present preliminary results from recent high-resolution double-degenerate
merger simulations with the Smooth Particle Hydrodynamics (SPH) technique. We
put particular emphasis on verification and validation in our effort and show
the importance of details in the initial condition setup for the final outcome
of the simulation. We also stress the dynamical importance of including shocks
in the simulations. These results represent a first step toward a suite of
simulations that will shed light on the question whether double-degenerate
mergers are a viable path toward type 1a supernovae. In future simulations, we
will make use of the capabilities of the NuGrid collaboration in
post-processing SPH particle trajectories with a complete nuclear network to
follow the detailed nuclear reactions during the dynamic merger phase.


title:
Liouville type of theorems with weights for the Navier-Stokes equations
  and the Euler equations

abstract:
  We study Liouville type of theorems for the Navier-Stokes and the Euler
equations on $\Bbb R^N$, $N\geq 2$. Specifically, we prove that if a weak
solution $(v,p)$ satisfies $|v|^2 +|p| \in L^1 (0,T; L^1(\Bbb R^N, w_1(x)dx))$
and $\int_{\Bbb R^N} p(x,t)w_2 (x)dx \geq0$ for some weight functions $w_1(x)$
and $w_2 (x)$, then the solution is trivial, namely $v=0$ almost everywhere on
$\Bbb R^N \times (0, T)$. Similar results hold for the MHD Equations on $\Bbb
R^N$, $N\geq3$.


title: Nucleosynthesis Calculations from Core-Collapse Supernovae

abstract:
  We review some of the uncertainties in calculating nucleosynthetic yields,
focusing on the explosion mechanism. Current yield calculations tend to either
use a piston, energy injection, or enhancement of neutrino opacities to drive
an explosion. We show that the energy injection, or more accurately, an entropy
injection mechanism is best-suited to mimic our current understanding of the
convection-enhanced supernova engine. The enhanced neutrino-opacity technique
is in qualitative disagreement with simulations of core-collapse supernovae and
will likely produce errors in the yields. But piston-driven explosions are the
most discrepant. Piston-driven explosion severely underestimate the amount of
fallback, leading to order-of-magnitude errors in the yields of heavy elements.
To obtain yields accurate to the factor of a few level, we must use entropy or
energy injection and this has become the NuGrid collaboration approach.


title:
Effect of Nonlocal Spin-Transfer Torque on Current-Induced Magnetization
  Dynamics

abstract:
  Using the self-consistent model, we present nonlocal spin-transfer effects
caused by the feedback between inhomogeneous magnetization and spin-transfer
torque on the current-induced magnetization dynamics in nanomagnets. The
nonlocal effects can substantially improve the coherence time of precession in
nanomagnets and thus reduce the linewidth of power spectrum. This narrow
linewidth results from the nonlinear damping of spin-waves due to the nonlocal
spin torque which is inherent and thus should be considered in future
experiments.


title: Nucleosynthetic Yields from "Collapsars"

abstract:
  The "collapsar" engine for gamma-ray bursts invokes as its energy source the
failure of a normal supernova and the formation of a black hole. Here we
present the results of the first three-dimensional simulation of the collapse
of a massive star down to a black hole, including the subsequent accretion and
explosion. The explosion differs significantly from the axisymmetric scenario
obtained in two-dimensional simulations; this has important consequences for
the nucleosynthetic yields. We compare the nucleosynthetic yields to those of
hypernovae. Calculating yields from three-dimensional explosions requires new
strategies in post-process nucleosynthesis; we discuss NuGrid's plan for
three-dimensional yields.


title: 44Ti and 56Ni in core-collapse supernovae

abstract:
  We investigate the physical conditions where 44Ti and 56Ni are created in
core-collapse supernovae. In this preliminary work we use a series of
post-processing network calculations with parametrized expansion profiles that
are representative of the wide range of temperatures, densities and
electron-to-baryon ratios found in 3D supernova simulations. Critical flows
that affect the final yields of 44Ti and 56Ni are assessed.


title: A note on Fibonacci-type polynomials

abstract:
  We opt to study the convergence of maximal real roots of certain
Fibonacci-type polynomials given by $G_n=x^kG_{n-1}+G_{n-2}$. The special cases
$k=1$ and $k=2$ are found in [4] and [7], respectively.


title:
Nucleosynthesis simulations for a wide range of nuclear production sites
  from NuGrid

abstract:
  Simulations of nucleosynthesis in astrophysical environments are at the
intersection of nuclear physics reaction rate research and astrophysical
applications, for example in the area of galactic chemical evolution or
near-field cosmology. Unfortunately, at present the available yields for such
applications are based on heterogeneous assumptions between the various
contributing nuclear production sites, both in terms of modeling the
thermodynamic environment itself as well as the choice of specifc nuclear
reaction rates and compilations. On the other side, new nuclear reaction rate
determinations are often taking a long time to be included in astrophysical
applications. The NuGrid project addresses these issues by providing a set of
codes and a framework in which these codes interact. In this contribution we
describe the motivation, goals and first results of the NuGrid project. At the
core is a new and evolving post-processing nuclesoynthesis code (PPN) that can
follow quiescent and explosive nucleosynthesis following multi-zone 1D-stellar
evolution as well as multi-zone hydrodynamic input, including explosions. First
results are available in the areas of AGB and massive stars.


title: NuGrid: s process in massive stars

abstract:
  The s-process production in massive stars at very low metallicities is
expected to be negligible due to the low abundance of the neutron source 22Ne,
to primary neutron poisons and decreasing iron seed abundances. However, recent
models of massive stars including the effects of rotation show that a strong
production of 22Ne is possible in the helium core, as a consequence of the
primary nitrogen production (observed in halo metal poor stars). Using the PPN
post-processing code, we studied the impact of this primary 22Ne on the s
process. We find a large production of s elements between strontium and barium,
starting with the amount of primary 22Ne predicted by stellar models. There are
several key reaction rate uncertainties influencing the s-process efficiency.
Among them, 17O(alpha,gamma) may play a crucial role strongly influencing the s
process efficiency, or it may play a negligible role, according to the rate
used in the calculations. We also report on the development of a new parallel
(MPI) post-processing code (MPPNP) designed to follow the complete
nucleosynthesis in stars on highly resolved grids. We present here the first
post-processing run from the ZAMS up to the end of helium burning for a 15
solar mass model.