title:
Global Sea Level Stabilization-Sand Dune Fixation: A Solar-powered
  Sahara Seawater Textile Pipeline

abstract:
  Could anthropogenic saturation with pumped seawater of the porous ground of
active sand dune fields in major deserts (e.g., the westernmost Sahara) cause a
beneficial reduction of global sea level? Seawater extraction from the ocean,
and its deposition on deserted sand dune fields in Mauritania and elsewhere via
a Solar-powered Seawater Textile Pipeline (SSTP) can thwart the postulated
future global sea level. Thus, Macro-engineering offers an additional cure for
anticipated coastal change, driven by global sea level rise, that could
supplement, or substitute for (1) stabilizing the shoreline with costly
defensive public works (armoring macroprojects) and (2) permanent retreat from
the existing shoreline (real and capital property abandonment). We propose
Macro-engineering use tactical technologies that sculpt and vegetate barren
near-coast sand dune fields with seawater, seawater that would otherwise, as
commonly postulated, enlarge Earth seascape area! Our Macro-engineering
speculation blends eremology with hydrogeology and some hydromancy. We estimate
its cost at 1 billion dollars - about 0.01 per sent of the USA 2007 Gross
Domestic Product.


title: Airy Functions for Compact Lie Groups

abstract:
  The classical Airy function has been generalised by Kontsevich to a function
of a matrix argument, which is an integral over the space of (skew) hermitian
matrices of a unitary-invariant exponential kernel. In this paper, the
Kontsevich integral is generalised to integrals over the Lie algebra of an
arbitrary connected compact Lie group, using exponential kernels invariant
under the group. The (real) polynomial defining this kernel is said to have the
Airy property if the integral defines a function of moderate growth. A general
sufficient criterion for a polynomial to have the Airy property is given. It is
shown that an invariant polynomial on the Lie algebra has the Airy property if
its restriction to a Cartan subalgebra has the Airy property. This result is
used to evaluate these invariant integrals completely and explicitly on the
hermitian matrices, obtaining formulae that contain those of Kontsevich as
special cases.


title: RS-232 Led Board

abstract:
  This article demonstrates how to develop a Microchip PIC16F84 based device
that supports RS-232 interface with PC. Circuit (LED Board) design and software
development will be discussed. PicBasic Pro Compiler from microEngineering
Labs, Inc. is used for PIC programming. Development of LED Board Control
Console using C/C++ is also briefly discussed. The project requires basic work
experience with Microchip PICs, serial communication and programming.


title: In situ GISAXS study of the growth of Pd on MgO(001)

abstract:
  The morphology of growing Pd nano-particles on MgO(001) surfaces have been
investigated in situ, during growth, by grazing incidence small angle x-ray
scattering, for different substrate temperatures. The 2D patterns obtained are
quantitatively analyzed, and the average morphological parameters (shape, size)
deduced. Above 650 K, the aggregates adopt their equilibrium shape of truncated
octahedron, and the interfacial energy is deduced.


title:
Quantum Limits of Measurements Induced by Multiplicative Conservation
  Laws: Extension of the Wigner-Araki-Yanase Theorem

abstract:
  The Wigner-Araki-Yanase (WAY) theorem shows that additive conservation laws
limit the accuracy of measurements. Recently, various quantitative expressions
have been found for quantum limits on measurements induced by additive
conservation laws, and have been applied to the study of fundamental limits on
quantum information processing. Here, we investigate generalizations of the WAY
theorem to multiplicative conservation laws. The WAY theorem is extended to
show that an observable not commuting with the modulus of, or equivalently the
square of, a multiplicatively conserved quantity cannot be precisely measured.
We also obtain a lower bound for the mean-square noise of a measurement in the
presence of a multiplicatively conserved quantity. To overcome this noise it is
necessary to make large the coefficient of variation (the so-called relative
fluctuation), instead of the variance as is the case for additive conservation
laws, of the conserved quantity in the apparatus.


title: Chandra X-ray Sources in the LALA Cetus Field

abstract:
  The 174 ks Chandra Advanced CCD Imaging Spectrometer exposure of the Large
Area Lyman Alpha Survey (LALA) Cetus field is the second of the two deep
Chandra images on LALA fields. In this paper we present the Chandra X-ray
sources detected in the Cetus field, along with an analysis of X-ray source
counts, stacked X-ray spectrum, and optical identifications. A total of 188
X-ray sources were detected: 174 in the 0.5-7.0 keV band, 154 in the 0.5-2.0
keV band, and 113 in the 2.0-7.0 keV band. The X-ray source counts were derived
and compared with LALA Bootes field (172 ks exposure). Interestingly, we find
consistent hard band X-ray source density, but 36+-12% higher soft band X-ray
source density in Cetus field. The weighted stacked spectrum of the detected
X-ray sources can be fitted by a powerlaw with photon index Gamma = 1.55. Based
on the weighted stacked spectrum, we find that the resolved fraction of the
X-ray background drops from 72+-1% at 0.5-1.0 keV to 63+-4% at 6.0-8.0 keV. The
unresolved spectrum can be fitted by a powerlaw over the range 0.5-7 keV, with
a photon index Gamma = 1.22. We also present optical counterparts for 154 of
the X-ray sources, down to a limiting magnitude of r' = 25.9 (Vega), using a
deep r' band image obtained with the MMT.


title: Casimir effect in de Sitter spacetime with compactified dimension

abstract:
  We investigate the Hadamard function, the vacuum expectation values of the
field square and the energy-momentum tensor of a scalar field with general
curvature coupling parameter in de Sitter spacetime compactified along one of
spatial dimensions. By using the Abel-Plana summation formula, we have
explicitly extracted from the vacuum expectation values the part due to the
compactness of the spatial dimension. The topological part in the vacuum
energy-momentum tensor violates the local de Sitter symmetry and dominates in
the early stages of the cosmological evolution. At late times the corresponding
vacuum stresses are isotropic and the topological part corresponds to an
effective gravitational source with barotropic equation of state.


title: Gibbs Rapidly Samples Colorings of G(n,d/n)

abstract:
  Gibbs sampling also known as Glauber dynamics is a popular technique for
sampling high dimensional distributions defined on graphs. Of special interest
is the behavior of Gibbs sampling on the Erd\H{o}s-R\'enyi random graph
G(n,d/n). While the average degree in G(n,d/n) is d(1-o(1)), it contains many
nodes of degree of order $\log n / \log \log n$.
  The existence of nodes of almost logarithmic degrees implies that for many
natural distributions defined on G(n,p) such as uniform coloring or the Ising
model, the mixing time of Gibbs sampling is at least $n^{1 + \Omega(1 / \log
\log n)}$. High degree nodes pose a technical challenge in proving polynomial
time mixing of the dynamics for many models including coloring.
  In this work consider sampling q-colorings and show that for every $d <
\infty$ there exists $q(d) < \infty$ such that for all $q \geq q(d)$ the mixing
time of Gibbs sampling on G(n,d/n) is polynomial in $n$ with high probability.
Our results are the first polynomial time mixing results proven for the
coloring model on G(n,d/n) for d > 1 where the number of colors does not depend
on n. They extend to much more general families of graphs which are sparse in
some average sense and to much more general interactions. The results also
generalize to the hard-core model at low fugacity and to general models of soft
constraints at high temperatures.


title:
Double Lepton Polarization Forward--Backward Asymmetries in B \rar
  K^\ast \ell^+ \ell^- Decay in the SM4

abstract:
  This study examines the influence of the fourth generation quarks on the
double lepton polarizations forward--backward asymmetries in B \rar K^\ast
\ell^+ \ell^- decay. We obtain that for both (muon, tau) channels the magnitude
and the sign of the differential forward--backward asymmetries and the
magnitude of the average forward--backward asymmetries are quite sensitive to
the 4th generation quarks mass and mixing parameters. It can serve as a good
tool to search for new physics effects, precisely, to search for the fourth
generation quarks(t', b') via its indirect manifestations in the loop diagrams.


title: ALFALFA in the Leo Region: Looking for Missing Satellites in HI

abstract:
  The location of two nearby galaxy groups within ~20 Mpc in the Leo region
allows for a detailed study of low-mass galaxies. A catalog of HI line
detections in Leo (9h36m < RA <11h36m, +8deg < dec < +16deg) has been made from
the blind HI survey ALFALFA. More sensitive single-pixel Arecibo observations
targeted Leo dwarf candidates noted optically by Karachentsev et al 2004 (K04)
to determine group members and allow for a comparison of HI and
optically-selected samples. This presentation highlights the differences
between the two samples and the significant contribution blind HI surveys can
make to the missing satellites problem.


title: An exotic shuffle relation of $\zeta(\{2\}^m)$ and $\zeta(\{3,1\}^n)$

abstract:
  In this short note we will provide a new and shorter proof of the following
exotic shuffle relation of multiple zeta values:
  $$\zeta(\{2\}^m \sha\{3,1\}^n)={2n+m\choose m}
  \frac{\pi^{4n+2m}}{(2n+1)\cdot (4n+2m+1)!}.$$ This was proved by Zagier when
n=0, by Broadhurst when $m=0$, and by Borwein, Bradley, and Broadhurst when
m=1. In general this was proved by Bowman and Bradley in \emph{The algebra and
combinatorics of shuffles and multiple zeta values}, J. of Combinatorial
Theory, Series A, Vol. \textbf{97} (1)(2002), 43--63. Our idea in the general
case is to use the method of Borwein et al. to reduce the above general
relation to some families of combinatorial identities which can be verified by
WZ-method.


title: Electron transport in an open mesoscopic metallic ring

abstract:
  We study electron transport in a normal-metal ring modeled by the tight
binding lattice Hamiltonian, coupled to two electron reservoirs. First,
Buttiker's model of incorporating inelastic scattering, hence decoherence and
dissipation, has been extended by connecting each site of the open ring to
one-dimensional leads for uniform dephasing in the ring threaded by magnetic
flux. We show with this extension conductance remains symmetric under flux
reversal, and Aharonov-Bohm oscillations with changing magnetic flux reduce to
zero as a function of the decoherence parameter, thus indicating dephasing in
the ring. This extension enables us to find local chemical potential profiles
of the ring sites with changing magnetic flux and the decoherence parameter
analogously to the four probe measurement. The local electrochemical potential
oscillates in the ring sites because of quantum-interference effects. It
predicts that measured four-point resistance also fluctuates and even can be
negative. Then we point out the role of the closed ring's electronic
eigenstates in the persistent current around Fano antiresonances of an
asymmetric open ring for both ideal leads and tunnel barriers. Determining the
real eigenvalues of the non-Hermitian effective Hamiltonian of the ring, we
show that there exist discrete bound states in the continuum of scattering
states for the asymmetric ring even in the absence of magnetic flux. Our
approach involves quantum Langevin equations and non-equilibrium Green's
functions.


title:
Stepwise Quenching of Exciton Fluorescence in Carbon Nanotubes by Single
  Molecule Reactions

abstract:
  Single-molecule chemical reactions with individual single-walled carbon
nanotubes were observed through near-infrared photoluminescence microscopy. The
emission intensity within distinct submicrometer segments of single nanotubes
changes in discrete steps after exposure to acid, base, or diazonium reactants.
The steps are uncorrelated in space and time, and reflect the quenching of
mobile excitons at localized sites of reversible or irreversible chemical
attack. Analysis of step amplitudes reveals an exciton diffusional range of
about 90 nanometers, independent of nanotube structure. Each exciton visits
approximately 104 atomic sites during its lifetime, providing highly efficient
sensing of local chemical and physical perturbations.


title: Cosmological Particle Creation in the Presence of Lorentz Violation

abstract:
  In recent years, the effects of Lorentz symmetry breaking in cosmology has
attracted considerable amount of attention. In cosmological context several
topics can be affected by Lorentz violation,e.g., inflationary scenario, CMB,
dark energy problem and barryogenesis. In this paper we consider the
cosmological particle creation due to Lorentz violation (LV). We consider an
exactly solvable model for finding the spectral properties of particle creation
in an expanding space-time exhibiting Lorentz violation. In this model we
calculate the spectrum and its variations with respect to the rate and the
amount of space-time expansion.


title: Decentralized sequential change detection using physical layer fusion

abstract:
  The problem of decentralized sequential detection with conditionally
independent observations is studied. The sensors form a star topology with a
central node called fusion center as the hub. The sensors make noisy
observations of a parameter that changes from an initial state to a final state
at a random time where the random change time has a geometric distribution. The
sensors amplify and forward the observations over a wireless Gaussian multiple
access channel and operate under either a power constraint or an energy
constraint. The optimal transmission strategy at each stage is shown to be the
one that maximizes a certain Ali-Silvey distance between the distributions for
the hypotheses before and after the change. Simulations demonstrate that the
proposed analog technique has lower detection delays when compared with
existing schemes. Simulations further demonstrate that the energy-constrained
formulation enables better use of the total available energy than the
power-constrained formulation in the change detection problem.


title:
Effect of a fluctuating parameter mismatch in coupled R\"{o}ssler
  systems

abstract:
  This paper is concerned with the effect of parameter fluctuations with a
characteristic waiting time in coupled R\"{o}ssler oscillators. We show that
the averaged error in synchronization that is introduced due to a fluctuating
parameter is proportional to the waiting time and the amplitude of the
fluctuations. It is also shown that coupling strength beyond a threshold value
does not have any significant effect on improving the quality of
synchronization when the fluctuations posses considerable waiting time.


title: Thermalization of a nonequilibrium electron-positron-photon plasma

abstract:
  Starting from a nonequilibrium configuration we analyse the essential role of
the direct and the inverse binary and triple interactions in reaching an
asymptotic thermal equilibrium in a homogeneous isotropic
electron-positron-photon plasma. We focus on energies in the range 0.1--10 MeV.
We numerically integrate the integro-partial differential relativistic
Boltzmann equation with the exact QED collisional integrals taking into account
all binary and triple interactions in the plasma. We show that first, when
detailed balance is reached for all binary interactions on a timescale
$t_{k}\lesssim10^{-14}$sec, photons and electron-positron pairs establish
kinetic equilibrium. Successively, when triple interactions fulfill the
detailed balance on a timescale $t_{eq}\lesssim10^{-12}$sec, the plasma reaches
thermal equilibrium. It is shown that neglecting the inverse triple
interactions prevents reaching thermal equilibrium. Our results obtained in the
theoretical physics domain also find application in astrophysics and cosmology.


title: Picard-graded Betti numbers and the defining ideals of Cox rings

abstract:
  Let X be a smooth projective variety with torsion-free Picard group. We
introduce complexes of vector spaces whose homology determines the structure of
the minimal free resolution of the Cox ring of X over the polynomial ring and
show how the homology of these complexes can be studied by purely geometric
methods. As an application of these techniques we give a simple new proof of a
characterization of the Cox rings of Del Pezzo surfaces (of degree >1)
conjectured by Batyrev and Popov.


title: Inverse scattering in multimode structures

abstract:
  We consider the inverse scattering problem associated with any number of
interacting modes in one-dimensional structures. The coupling between the modes
is contradirectional in addition to codirectional, and may be distributed
continuously or in discrete points. The local coupling as a function of
position is obtained from reflection data using a layer-stripping type method,
and the separate identification of the contradirectional and codirectional
coupling is obtained using matrix factorization. Ambiguities are discussed in
detail, and different {\it a priori} information that can resolve the
ambiguities is suggested. The method is exemplified by applications to
multimode optical waveguides with quasi-periodical perturbations.


title:
Jet Riemann-Lagrange Geometry Applied to Evolution DEs Systems from
  Economy

abstract:
  The aim of this paper is to construct a natural Riemann-Lagrange differential
geometry on 1-jet spaces, in the sense of nonlinear connections, generalized
Cartan connections, d-torsions, d-curvatures, jet electromagnetic fields and
jet Yang-Mills energies, starting from some given non-linear evolution DEs
systems modelling economic phenomena, like the Kaldor model of the bussines
cycle or the Tobin-Benhabib-Miyao model regarding the role of money on economic
growth.


title:
Global well-posedness and scattering for the energy-critical, defocusing
  Hartree equation in $\mathbb{R}^{1+n}$

abstract:
  Using the same induction on energy argument in both frequency space and
spatial space simultaneously as in \cite{CKSTT07}, \cite{RyV05} and
\cite{Vi05}, we obtain global well-posedness and scattering of energy solutions
of defocusing energy-critical nonlinear Hartree equation in $\mathbb{R}\times
\mathbb{R}^n$($n\geq 5$), which removes the radial assumption on the data in
\cite{MiXZ07a}. The new ingredients are that we use a modified long time
perturbation theory to obtain the frequency localization (Proposition
\ref{freqdelocaimplystbound} and Corollary \ref{frequencylocalization}) of the
minimal energy blow up solutions, which can not be obtained from the classical
long time perturbation and bilinear estimate and that we obtain the spatial
concentration of minimal energy blow up solution after proving that
$L^{\frac{2n}{n-2}}_x$-norm of minimal energy blow up solutions is bounded from
below, the $L^{\frac{2n}{n-2}}_x$-norm is larger than the potential energy.


title:
Geometrical Objects on the First Order Jet Space $J^1(T,R^5)$ Produced
  by the Lorenz Atmospheric DEs System

abstract:
  The aim of this paper is to construct natural geometrical objects on the
1-jet space J^1(T,R^5), where $T/subset R$, like a non-linear connection, a
generalized Cartan connection, together with its d-torsions and d-curvatures, a
jet electromagnetic d-field and a jet Yang-Mills energy, starting from the
given Lorenz atmospheric DEs system and the pair of Euclidian metrics $/Delta =
(1,/delta_{ij})$ on $T/times R^5$.


title:
Modelling the Global Solar Corona: Filament Chirality Observations and
  Surface Simulations

abstract:
  The hemispheric pattern of solar filaments is considered in the context of
the global magnetic field of the solar corona. In recent work Mackay and van
Ballegooijen have shown how, for a pair of interacting magnetic bipoles, the
observed chirality pattern could be explained by the dominant range of bipole
tilt angles and helicity in each hemisphere. This study aims to test this
earlier result through a direct comparison between theory and observations,
using newly-developed simulations of the actual surface and 3D coronal magnetic
fields over a 6-month period, on a global scale.
  In this paper we consider two key components of the study; firstly the
observations of filament chirality for the sample of 255 filaments, and
secondly our new simulations of the large-scale surface magnetic field. Based
on a flux-transport model, these will be used as the lower boundary condition
for the future 3D coronal simulations. Our technique differs significantly from
those of other authors, where the coronal field is either assumed to be purely
potential, or has to be reset back to potential every 27 days in order that the
photospheric field remain accurate. In our case we ensure accuracy by the
insertion of newly-emerging bipolar active regions, based on observed
photospheric synoptic magnetograms. The large-scale surface field is shown to
remain accurate over the 6-month period, without any resetting. This new
technique will enable future simulations to consider the long-term build-up and
transport of helicity and shear in the coronal magnetic field, over many months
or years.


title: Investigations of a THGEM-based imaging detector

abstract:
  We present the results of our recent studies on a Thick Gas Electron
Multiplier (THGEM)-based imaging detector prototype. It consists of two 100x100
mm^2 THGEM electrodes in cascade, coupled to a resistive anode. The event
location is recorded with a 2D double-sided readout electrode equipped with
discrete delay-lines and dedicated electronics. The THGEM electrodes, produced
by standard printed-circuit board and mechanical drilling techniques, a 0.4 mm
thick with 0.5 mm diameter holes spaced by 1 mm. Localization resolutions of
about 0.7 mm (FWHM) were measured with soft x-rays, in a detector operated with
atmospheric-pressure Ar/CH4; good linearity and homogeneity were achieved. We
describe the imaging-detector layout, the resistive-anode 2D readout system and
the imaging properties. The THGEM has numerous potential applications that
require large-area imaging detectors, with high-rate capability,
single-electron sensitivity and moderate (sub-mm) localization resolution.


title:
Collective Flow of Protons and Negative Pions in Nucleus-Nucleus
  Collisions at Momentum of $4.2 \div 4.5$ AGeV/c

abstract:
  Collective flow of protons and negative pions has been studied within the
momentum region of $4.2 \div 4.5$ AGeV/c ($E =3.4 \div 3.7$ AGeV) for different
projectile-target combinations involving carbon and, specifically, He-C, C-C,
C-Ne, C-Cu and C-Ta. The data stem from the SKM-200-GIBS streamer chamber and
from Propane Bubble Chamber systems utilized at JINR. The directed flow of
protons grows dramatically in the carbon region when the counterpart nucleus
grows in mass between He and Ta. The elliptic proton flow points out of the
reaction plane and also strengthens as system mass increases. Within the
reaction plane, the negative pions flow in the same direction as protons for
the lighter of the investigated systems, He-C, C-C and C-Ne, and in the
opposite direction for the heavier, C-Cu and C-Ta. The Quark-Gluon String Model
reproduces observed changes in the flow with system mass.


title:
Generalized Harmonic Oscillator and the Schr\"{o}dinger Equation with
  Position-Dependent Mass

abstract:
  We study the generalized harmonic oscillator which has both the
position-dependent mass and the potential depending on the form of mass
function in a more general framework. The explicit expressions of the
eigenvalue and eigenfunction for such system are given, they have the same
forms as those for the usual harmonic oscillator with constant mass. The
coherent state and the its properties for the system with PDM are also
discussed. We give the corresponding effective potentials for several mass
functions, the systems with such potentials are isospectral to the usual
harmonic oscillator.


title: Cosmology of fermionic dark matter

abstract:
  We explore a model for a fermionic dark matter particle family which
decouples from the rest of the partices when at least all standard model
particles are in equilibrium. We calculate the allowed ranges for mass and
chemical potential to be compatible with big bang nucleosynthesis (BBN)
calculations and WMAP-data for a flat universe with dark energy. Futhermore we
estimate the free streaming length for fermions and antifermions to allow
comparison to large scale structure data (LLS). We find that for dark matter
decoupling when all standard model particles are present even the least
restrictive combined BBN calculation and WMAP results allow us to constrain the
initial dark matter chemical potential to a highest value of 6.3 times the dark
matter temperature. In this case the resulting mass range is at most 1.8 eV < m
< 53 eV, where the upper bound scales linearly with the effective degrees of
freedom at decoupling. From LSS we find that similar to ordinary warm dark
matter models the particle mass has to be larger than approximately 500 eV
(meaning the effective degrees of freedom at decoupling have to be > 1000) to
be compatible with observations of the Ly alpha forest at high redshift, but
still the dark matter chemical potential over temperature ratio can exceed
unity.


title:
Scaling rules in the science system: influence of field-specific
  citation characteristics on the impact of research groups

abstract:
  We propose a representation of science as a citation-density landscape and
investigate scaling rules with the field-specific citation density as a main
topological property. We focus on the size-dependence of several main
bibliometric indicators for a large set of research groups while distinguishing
between top-performance and lower performance groups. We demonstrate that this
representation of the science system is particularly effective to understand
the role and the interdependencies of the different bibliometric indicators and
related topological properties of the landscape.


title: Quasi-equilibrium optical nonlinearities in spin-polarized GaAs

abstract:
  Semiconductor Bloch equations, which microscopically describe the dynamics of
a Coulomb interacting, spin-unpolarized electron-hole plasma, can be solved in
two limits: the coherent and the quasi-equilibrium regime. These equations have
been recently extended to include the spin degree of freedom, and used to
explain spin dynamics in the coherent regime. In the quasi-equilibrium limit,
one solves the Bethe-Salpeter equation in a two-band model to describe how
optical absorption is affected by Coulomb interactions within a
spin-unpolarized plasma of arbitrary density. In this work, we modified the
solution of the Bethe-Salpeter equation to include spin-polarization and light
holes in a three-band model, which allowed us to account for spin-polarized
versions of many-body effects in absorption. The calculated absorption
reproduced the spin-dependent, density-dependent and spectral trends observed
in bulk GaAs at room temperature, in a recent pump-probe experiment with
circularly polarized light. Hence our results may be useful in the microscopic
modelling of density-dependent optical nonlinearities in spin-polarized
semiconductors.


title: Autonomous tools for Grid management, monitoring and optimization

abstract:
  We outline design and lines of development of autonomous tools for the
computing Grid management, monitoring and optimization. The management is
proposed to be based on the notion of utility. Grid optimization is considered
to be application-oriented. A generic Grid simulator is proposed as an
optimization tool for Grid structure and functionality.


title:
Reduced Sigma-Model on O(N): Hamiltonian Analysis and Poisson Bracket of
  Lax Connection

abstract:
  This short note is devoted to the study of the Hamiltonian formalism and the
integrability of the bosonic model introduced in [hep-th/0612079]. We calculate
Poisson bracket of spatial components of Lax connection and we argue that its
structure implies classical integrability of the theory.


title:
Magnetic State Modification Induced by Superconducting Response in
  Ferromagnet/Superconductor Hybrids

abstract:
  Magnetization measurements in superconductor/ferromagnet Nb/Co superlattices
show a complex behavior as a function of temperature, applied field and sample
history. In base to a simple model it is shown that this behavior is due to an
interplay between the superconductor magnetization temperature dependence, the
ferromagnet magnetization time dependence, and the stray fields of both
materials. It is also shown that the magnetic state of the Co layers is
modified by the Nb superconducting response, implying that the problem of a
superconductor/ferromagnetic heterogeneous sample has to be solved in a
self-consistent manner.


title:
"Silver" mode for heavy Higgs search in the presence of a fourth SM
  family

abstract:
  We investigate the possible enhancement to the discovery of the heavy Higgs
boson through the possible fourth SM family heavy neutrino. Using the channel
h-> v4 v4->mu W mu W-> mu j j mu j j, it is found that for certain ranges of
Higgs boson and v4 masses LHC could discover both of them simultaneously with 1
fb^-1 integrated luminosity.


title: Dynamics of Domain Wall Networks

abstract:
  Networks or webs of domain walls are admitted in Abelian or non-Abelian gauge
theory coupled to fundamental Higgs fields with complex masses. We examine the
dynamics of the domain wall loops by using the moduli approximation and find a
phase rotation induces a repulsive force which can be understood as a Noether
charge of Q-solitons. Non-Abelian gauge theory allows different types of loops
which can be deformed to each other by changing a modulus. This admits the
moduli geometry like a sandglass made by gluing the tips of the two
cigar-(cone-)like metrics of a single triangle loop. We conclude that the sizes
of all loops tend to grow for a late time in general models with complex Higgs
masses, while the sizes are stabilized at some values once triplet masses are
introduced for the Higgs fields. We also show that the stationary motion on the
moduli space of the domain wall webs represents 1/4 BPS Q-webs of walls.


title:
Characteristic classes of the Hilbert schemes of points on non-compact
  simply-connected surfaces

abstract:
  We prove a closed formula expressing any multiplicative characteristic class
evaluated on the tangent bundle of the Hilbert schemes of points on a
non-compact simply-connected surface.
  As a corollary, we deduce a closed formula for the Chern character of the
tangent bundles of these Hilbert schemes.
  We also give a closed formula for the multiplicative characteristic classes
of the tautological bundles associated to a line bundle on the surface.
  We finally remark which implications the results here have for the Hilbert
schemes of points of an arbitrary surface.


title: International Standard for a Linguistic Annotation Framework

abstract:
  This paper describes the Linguistic Annotation Framework under development
within ISO TC37 SC4 WG1. The Linguistic Annotation Framework is intended to
serve as a basis for harmonizing existing language resources as well as
developing new ones.


title: A Formal Model of Dictionary Structure and Content

abstract:
  We show that a general model of lexical information conforms to an abstract
model that reflects the hierarchy of information found in a typical dictionary
entry. We show that this model can be mapped into a well-formed XML document,
and how the XSL transformation language can be used to implement a semantics
defined over the abstract model to enable extraction and manipulation of the
information in any format.


title:
A survey on the interplay between arithmetic mean ideals, traces,
  lattices of operator ideals, and an infinite Schur-Horn majorization theorem

abstract:
  The work of Dykema, Figiel, Weiss, and Wodzicki on the structure of
commutators showed that arithmetic means play an important role in the study of
operator ideals, and we explored their role in a multipaper project which we
survey in this article. We start by presenting the notions of arithmetic mean
ideals and arithmetic mean at infinity ideals. Then we explore their
connections with commutator spaces, traces, elementary operators, lattice and
sublattice structure of ideals, arithmetic mean ideal cancellation properties
of first and second order, and softness properties - a term that we introduced
but a notion ubiquitous in the literature on operator ideals. Arithmetic mean
closure of ideals leads us to investigate majorization for infinite sequences
and this in turn leads us to an infinite Schur-Horn majorization theorem which
extends theorems by A. Neumann, by Arveson and Kadison, and by Antezana,
Massey, Ruiz and Stojanoff. We also list ten open questions that we encountered
in the development of this material.


title: Operator valued frames

abstract:
  We develop a natural generalization of vector-valued frame theory, we term
operator-valued frame theory, using operator-algebraic methods. This extends
work of the second author and D. Han which can be viewed as the multiplicity
one case and extends to higher multiplicity (e.g., multiframes) their dilation
approach. We prove several results for operator-valued frames concerning their
parametrization, duality, disjointeness, complementarity, and composition and
the relationship between the two types of similarity (left and right) of such
frames. We then apply these notions to prove that the collection of multiframe
generators for the action of a discrete group on a Hilbert space is norm
pathwise-connected precisely when the von Neumann algebra generated by the
right representation of the group has no minimal projections. The proof is
obtained by parametrizing this collection by a class of partial isometries in a
larger von Neumann algebra. In the multiplicity one case this class reduces to
the unitary class which is path-connected in norm, but in the infinite
multiplicity case this class is path connected only in the strong operator
topology and the proof depends on properties of tensor product slice maps.


title:
The ALFALFA Search for (Almost) Dark Galaxies across the HI Mass
  Function

abstract:
  The Arecibo Legacy Fast ALFA (ALFALFA) survey is a second generation blind
extragalactic HI survey currently in progess which is exploiting Arecibo's
superior sensitivity, angular resolution and digital technology to derive a
census of the local HI universe over a cosmologically significant volume. As of
the time of this meeting, some 4500 good quality extragalactic HI line sources
have been identified in about 15% of the final survey area. ALFALFA is
detecting HI masses as low as 10**6 solar masses and as large as 10**10.8 solar
masses with positional accuracies typically better than 20", allowing immediate
identification of the most probable optical counterparts. Only 3% of all
extragalactic HI sources and less than 1% of detections with HI mass 10**9.5
solar masses cannot be identified with a stellar component. Because ALFALFA is
far from complete, the discussion here focuses on limitations of past surveys
that ALFALFA will overcome because of its greater volume, sensitivity and
reduced susceptibility to source confusion and on a sampling of illustrative
preliminary results. First ALFALFA results already suggest, in agreement with
previous studies, that there does not appear to be a cosmologically significant
population of optically dark but HI rich galaxies. ALFALFA promises a wealthy
dataset for the exploration of many issues in near-field cosmology and galaxy
evolution studies, setting the stage for their extension to higher redshifts in
the future with the Square Kilometer Array (SKA).


title:
Self-Organized Growth of Nanoparticles on a Surface Patterned by a
  Buried Dislocation Network

abstract:
  The self-organized growth of Co nanoparticles with 10 nm periodicity was
achieved at room temperature on a Ag(001) surface patterned by an underlying
dislocation network, as shown by real time, in situ Grazing Incidence Small and
Wide Angle X-ray Scattering. The misfit dislocation network, buried at the
interface between a 5nm-thick Ag thin film and a MgO(001) substrate, induces a
periodic strain field on top of the surface. Nucleation and growth of Co on
tensile areas are found as the most favorable sites as highlighted by Molecular
Dynamic simulations.


title: Virgo Early-Type Dwarfs in ALFALFA

abstract:
  Early-type dwarf galaxies dominate cluster populations, but their formation
and evolutionary histories are poorly understood. The ALFALFA (Arecibo Legacy
Fast ALFA) survey has completed observations of the Virgo Cluster in the
declination range of 6 - 16 degrees. Less than 2% of the early-type dwarf
population is detected, a significantly lower fraction than reported in
previous papers based on more limited samples. In contrast ~30 of the
irregular/BCD dwarf population is detected. The detected early-type galaxies
tend to be located in the outer regions of the cluster, with a concentration in
the direction of the M Cloud. Many show evidence for ongoing/recent star
formation. Galaxies such as these may be undergoing morphological transition
due to cluster environmental effects.


title: Functional Equation for Theta Series

abstract:
  In this short paper, we find the transformation formula for the theta series
under the action of the Jacobi modular group on the Siegel-Jacobi space. This
formula generalizes the formula (5.1) obtained by Mumford in his book[p.189,
Tata Lectures on Theta I (1983), Birkhauser].


title: A 500 kpc HI Tail of the Virgo Pair NGC4532/DDO137 Detected by ALFALFA

abstract:
  HI observations of the Virgo Cluster pair NGC 4532/DDO 137, conducted as part
of the Arecibo Legacy Fast ALFA Survey (ALFALFA), reveal an HI feature
extending ~500 kpc to the southwest. The structure has a total mass of up to 7
x 10^8 solar masses, equivalent to 10% of the pair HI mass. Optical R imaging
reveals no counterparts to a level of 26.5 magnitudes per square arcsec. The
structure is likely the result of galaxy harassment.


title: ALFALFA: HI Cosmology in the Local Universe

abstract:
  For the last 25 years, the 21 cm line has been used productively to
investigate the large-scale structure of the Universe, its peculiar velocity
field and the measurement of cosmic parameters. In February 2005 a blind HI
survey that will cover 7074 square degrees of the high latitude sky was started
at Arecibo, using the 7-beam feed L-band feed array (ALFA). Known as the
Arecibo Legacy Fast ALFA (ALFALFA) Survey, the program is producing a census of
HI-bearing objects over a cosmologically significant volume of the local
Universe. With respect to previous blind HI surveys, ALFALFA offers an
improvement of about one order of magnitude in sensitivity, 4 times the angular
resolution, 3 times the spectral resolution, and 1.6 times the total bandwidth
of HIPASS. ALFALFA can detect 7 X 10**4 D**2 solar masses of HI, where D is the
source distance in Mpc. As of mid 2007, 44% of the survey observations and 15%
of the source extraction are completed. We discuss the status of the survey and
present a few preliminary results, in particular with reference to the proposed
"dark galaxy" VirgoHI21.


title: Origin of the numerals, Al biruni testimony

abstract:
  The origin of the numerals that we inherited from the arabo-Islamic
civilization remained one enigma. The hypothesis of the Indian origin remained,
with controversies, without serious rival. It was the dominant hypothesis since
more of one century. Its partisans found to it and constructed a lot of
arguments. The testimonies of the medieval authors have been interpreted to its
advantage. The opposite opinions have been dismissed and ignored. An amalgam
between the history of our modern numerals and the Indian mathematics history
is made. Rational contradictions often passed under silence. A meticulous
observation of the numerals permits to affirm that our numerals are in fact
more or less modified Arabic letters. The "Ghubari" shape of the numerals shows
that the symbol of a numeral corresponds to the Arabic letter whose numerical
value is equal to this numeral. The numerals don't have a simple resemblance
with some Arabic letters, but every number looks like the Arabic letter whose
numerical value is equal to this numeral. The elements of the ''Abjadi''
calculation gives us a theoretical support, independent of the letters and
numerals, witch explains our observation. Besides a re-lecture of the
testimonies of the medieval authors, particularly the testimony of Al-Biruni,
that is probably at the origin of all others testimonies speaking of the Indian
origin of the numerals, is in agreement with the fact that our numerals are
Arabic letters. We have there a second way concerning the origin of our modern
numerals that is only to its beginnings. The deepened researches are necessary
to understand the history of our numerals better. A rigorous re-lecture of the
medieval testimonies with a new mind imposes itself.


title: Trapping of strangelets in the geomagnetic field

abstract:
  Strangelets coming from the interstellar medium (ISM) are an interesting
target to experiments searching for evidence of this hypothetic state of
hadronic matter. We entertain the possibility of a {\it trapped} strangelet
population, quite analogous to ordinary nuclei and electron belts. For a
population of strangelets to be trapped by the geomagnetic field, these
incoming particles would have to fulfill certain conditions, namely having
magnetic rigidities above the geomagnetic cutoff and below a certain threshold
for adiabatic motion to hold. We show in this work that, for fully ionized
strangelets, there is a narrow window for stable trapping. An estimate of the
stationary population is presented and the dominant loss mechanisms discussed.
It is shown that the population would be substantially enhanced with respect to
the ISM flux (up to two orders of magnitude) due to quasi-stable trapping.


title: The Distribution of ALFALFA Galaxies

abstract:
  The ALFALFA blind HI survey will enable a census of the distribution of
gas-rich galaxies in the local Universe. Sensitive to an HI mass of 10**7 solar
masses at the distance of the Virgo cluster, ALFALFA will probe the smallest
objects locally and provide a new consideration of near-field cosmology.
Additionally, with a larger, cosmologically significant sample volume and wider
bandwidth than previous blind surveys, a much larger number of detections in
each mass bin is possible, with adequate angular resolution to eliminate the
need for extensive follow-up observations. This increased sensitivity will
greatly enhance the utility of cosmological probles in HI. ALFALFA will
eventually measure the correlation function of HI selected galaxies in a large
local volume. The larger sample and volume size of the ALFALFA dataset will
also robustly measure the HI mass function (HIMF). Here, we present the
preliminary results on the distribution of local gas-rich galaxies from a first
ALFALFA catalog covering 540 deg**2.


title:
Theoretical determination of lifetimes of metastable states in Sc III
  and Y III

abstract:
  Lifetimes of the first two metastable states in Sc^{2+} and Y^{2+} are
determined using the relativistic coupled-cluster theory. There is a
considerable interest in studying the electron correlation effects in these
ions as though their electronic configurations are similar to the neutral
alkali atoms, their structures are very different from the latter. We have made
a comparative study of the correlation trends between the above doubly ionized
systems with their corresponding neutral and singly ionized iso-electronic
systems. The lifetimes of the excited states of these ions are very important
in the field of astrophysics, especially for the study of post-main sequence
evolution of the cool giant stars.


title: Particle entrapment as a feedback effect

abstract:
  We consider a suspension of polarizable particles under the action of
traveling wave dielectrophoresis (DEP) and focus on particle induced effects.
In a situation where the particles are driven by the DEP force, but no external
forces are exerted on the fluid, the joint motion of the particles can induce a
steady fluid flow, which leads to particle entrapment. This feedback effect is
proven to be non-negligible even for small volume concentration of particles.


title:
Geometric characterization of separability and entanglement in pure
  Gaussian states by single-mode unitary operations

abstract:
  We present a geometric approach to the characterization of separability and
entanglement in pure Gaussian states of an arbitrary number of modes. The
analysis is performed adapting to continuous variables a formalism based on
single subsystem unitary transformations that has been recently introduced to
characterize separability and entanglement in pure states of qubits and qutrits
[arXiv:0706.1561]. In analogy with the finite-dimensional case, we demonstrate
that the $1 \times M$ bipartite entanglement of a multimode pure Gaussian state
can be quantified by the minimum squared Euclidean distance between the state
itself and the set of states obtained by transforming it via suitable local
symplectic (unitary) operations. This minimum distance, corresponding to a,
uniquely determined, extremal local operation, defines a novel entanglement
monotone equivalent to the entropy of entanglement, and amenable to direct
experimental measurement with linear optical schemes.


title:
On the Non-Manifest Left-Right Model Contribution to the Lifetime
  Difference in $D^0 - \bar{D}^0$ Mixing

abstract:
  New physics contribution to the lifetime difference in $D^0 - \bar{D}^0$
mixing is re-examined within the non-manifest Left-Right Symmetric Model.
Diagrams with one of $\Delta C = 1$ transitions, mediated by a propagator with
$W_L - W_R$ mixing, are revisited. While these diagrams are believed to give
the dominant contribution, compatible with the experimental data, it is shown
that due to GIM cancelation, such diagrams are negligible in sum. Thus,
Left-Right Symmetric Model contribution to the lifetime difference in $D^0 -
\bar{D}^0$ mixing is about two orders of magnitude less than actual
experimental value for $\Delta \Gamma_D$.


title: Galilei invariant theories. II. Wave equations for massive fields

abstract:
  Galilei invariant equations for massive fields with various spins are found
and classified. They have been obtained directly, i.e., by using requirement of
Galilei invariance and the facts on representations of the Galilei group
deduced in our previous paper de Montigny M, Niederle J and Nikitin A G, J.
Phys. A {\bf 39}, 1-21, 2006 . It is shown that the collection of
non-equivalent Galilei-invariant wave equations for vector and scalar fields is
very broad and describes many physically consistent systems.


title: On magnetic instabilities and dynamo action in stellar radiation zones

abstract:
  We examine the MHD instabilities arising in the radiation zone of a
differentially rotating star, in which a poloidal field of fossil origin is
sheared into a toroidal field. We focus on the non-axisymmetric instability
that affects the toroidal magnetic field in a rotating star, which was first
studied by Pitts and Tayler in the non-dissipative limit. According to Spruit,
it could also drive a dynamo. The Pitts & Tayler instability is manifestly
present in our simulations, with its conspicuous m=1 dependence in azimuth. But
its analytic treatment used so far is too simplified to be applied to the real
stellar situation. Although the instability generated field reaches an energy
comparable to that of the mean poloidal field, that field seems unaffected by
the instability: it undergoes Ohmic decline, and is neither eroded nor
regenerated by the instability. The toroidal field is produced by shearing the
poloidal field and it draws its energy from the differential rotation. The
small scale motions behave as Alfven waves; they cause negligible
eddy-diffusivity and contribute little to the net transport of angular
momentum. In our simulations we observe no sign of dynamo action, of either
mean field or fluctuation type, up to a magnetic Reynolds number of 10^5.
However the Pitts & Tayler instability is sustained as long as the differential
rotation acting on the poloidal field is able to generate a toroidal field of
sufficient strength.


title:
Nonlinear electrodynamics and the variation of the fine structure
  constant

abstract:
  It has been claimed that during the late time history of our universe, the
fine structure constant of electromagnetism, $\alpha$, has been increasing
(Webb et al. 2001; Murphy et al. 2003). The conclusion is achieved after
looking at the separation between lines of ions like CIV, MgII, SiII, FeII,
among others in the absorption spectra of very distant quasars, and comparing
them with their counterparts obtained in the laboratory.
  However, in the meantime, other teams has claimed either a null result or a
decreasing $\alpha$ with respect to the cosmic time (Chand et al. 2004;
Levshakov et al. 2004). Also, the current precision of laboratory tests does
not allow one to either comfort or reject any of these astronomical
observations. Here we suggest that as photons are the sidereal messengers, a
nonlinear electrodynamics (NLED) description of the interaction of photons with
the weak local background magnetic fields of a gas cloud absorber around the
emitting quasar can reconcile the Chand et al. (2004) and Levshakov et al.
(2004) findings with the negative variation found by Murphy et al. (2001a,
2001b, 2001c, 2001d) and Webb et al. (2001), and also to find a bridge with the
positive variation argued more recently by Levshakov et al. (2006a, 2007). We
also show that nonlinear electrodynamics photon propagation in a vacuum
permeated by a background magnetic field presents a full agreement with
constraints from Oklo natural reactor data. Finally, we show that NLED may
render a null result only in a narrow range of the local background magnetic
field which should be the case of both the claims by Chand et al.(2004) and by
Srianand et al. (2004).


title: A Further Generalized Lagrangian Density and Its Special Cases

abstract:
  By summarizing and extending the Lagrangian densities of the general
relativity and the Kibble's gauge theory of gravitation,a further generalized
Lagrangian density for a gravitational system is obtained and analyzed in
greater detail, which can be used for studying more extensive range of
gravitation. Many special cases can be derived from this generalized Lagrangian
density, their general characters and peculiarities will be briefly described.


title: Are Mass and Length Quantized?

abstract:
  We suggest that there are time-varying quanta of mass (gomidia) and of length
(somia), thus pointing to a quantization of geometry and gravitation. The
present numerical value of the gomidium and somium, are, 10 to the power minus
65 grams, and 10 to the power minus 91 centimeters. Gomidia may be responsible
for dark matter in the Universe; Heisenberg's principle, confirms the numerical
estimates for gomidia and somia, either for the present Universe, or for
Planck's time.


title: The maximal p-norm multiplicativity conjecture is false

abstract:
  For all 1 < p < 2, we demonstrate the existence of quantum channels with
non-multiplicative maximal p-norms. Equivalently, the minimum output Renyi
entropy of order p of a quantum channel is not additive for all 1 < p < 2. The
violations found are large. As p approaches 1, the minimum output Renyi entropy
of order p for a product channel need not be significantly greater than the
minimum output entropy of its individual factors. Since p=1 corresponds to the
von Neumann entropy, these counterexamples demonstrate that if the additivity
conjecture of quantum information theory is true, it cannot be proved as a
consequence of maximal p-norm multiplicativity.


title: GMSB at a stable vacuum and MSSM without exotics from heterotic string

abstract:
  We show that it is possible to introduce the confining hidden sector gauge
group SU(5)' with the chiral matter 10 plus 5-bar, which are neutral under the
standard model gauge group, toward a gauge mediated supersymmetry breaking
(GMSB) in a Z_{12-I} orbifold compactification of E_8xE_8 heterotic string.
Three families of MSSM result without exotics. We also find a desirable matter
parity P (or R-parity) assignment. We note that this model contains the
spectrum of the Lee-Weinberg model which has a nice solution of the mu problem.


title: Apparatus for real-time acoustic imaging of Rayleigh-Benard convection

abstract:
  We have designed and built an apparatus for real-time acoustic imaging of
convective flow patterns in optically opaque fluids. This apparatus takes
advantage of recent advances in two-dimensional ultrasound transducer array
technology; it employs a modified version of a commercially available
ultrasound camera, similar to those employed in non-destructive testing of
solids. Images of convection patterns are generated by observing the lateral
variation of the temperature dependent speed of sound via refraction of
acoustic plane waves passing vertically through the fluid layer. The apparatus
has been validated by observing convection rolls in both silicone oil and
ferrofluid.


title: 12 and 18 micron images of dust surrounding HD 32297

abstract:
  We present the first subarcsecond-resolution images at multiple mid-IR
wavelengths of the thermally-emitting dust around the A0 star HD 32297. Our
observations with T-ReCS at Gemini South reveal a nearly edge-on resolved disk
at both 11.7 microns and 18.3 microns that extends ~150 AU in radius. The
mid-IR is the third wavelength region in which this disk has been resolved,
following coronagraphic observations by others of the source at optical and
near-IR wavelengths. The global mid-IR colors and detailed consideration of the
radial color-temperature distribution imply that the central part of the disk
out to ~80 AU is relatively deficient in dust.


title: A Ring of Warm Dust in the HD 32297 Debris Disk

abstract:
  We report the detection of a ring of warm dust in the edge-on disk
surrounding HD 32297 with the Gemini-N/MICHELLE mid-infrared imager. Our
N'-band image shows elongated structure consistent with the orientation of the
scattered-light disk. The Fnu(11.2 um) = 49.9+/-2.1 mJy flux is significantly
above the 28.2+/-0.6 mJy photosphere. Subtraction of the stellar point spread
function reveals a bilobed structure with peaks 0.5"-0.6" from the star. An
analysis of the stellar component of the SED suggests a spectral type later
than A0, in contrast to commonly cited literature values. We fit
three-dimensional, single-size grain models of an optically thin dust ring to
our image and the SED using a Markov chain Monte Carlo algorithm in a Bayesian
framework. The best-fit effective grain sizes are submicron, suggesting the
same dust population is responsible for the bulk of the scattered light. The
inner boundary of the warm dust is located 0.5"-0.7" (~65 AU) from the star,
which is approximately cospatial with the outer boundary of the scattered-light
asymmetry inward of 0.5". The addition of a separate component of larger,
cooler grains that provide a portion of the 60 um flux improves both the
fidelity of the model fit and consistency with the slopes of the
scattered-light brightness profiles. Previous indirect estimates of the stellar
age (~30 Myr) indicate the dust is composed of debris. The peak vertical
optical depths in our models (~0.3-1 x 1e-2) imply that grain-grain collisions
likely play a significant role in dust dynamics and evolution. Submicron grains
can survive radiation pressure blow-out if they are icy and porous. Similarly,
the inferred warm temperatures (130-200 K) suggest that ice sublimation may
play a role in truncating the inner disk.


title:
Comments on "An experimental test of non-local realism" by S.
  Groeblacher, T. Paterek, R. Kaltenbaek, C. Brukner, M. Zukowski, M.
  Aspelmeyer, and A. Zeilinger, Nature 446 (2007), 871-875

abstract:
  A simple proof of a key inequality required by the paper's analysis is
presented. An introductory section discussing the paper's setup may be helpful
to some readers. An alternative statistical analysis is suggested.


title:
Theory of Parity Violated Cooper Pairs in Weakly Noncentrosymmetric
  Superconductors

abstract:
  We propose that in noncentrosymmetric superconductors with weakly asymmetric
spin-orbit interaction the field-induced pair correlation between the
spin-orbit split different bands ignored in previous studies yields unique
effects; i.e. the Pauli depairing effect is anisotropic in the momentum space,
and as a result, magnetic fields induce point-node-like anisotropic gap
structure of the quasiparticle energy even for isotropic s-wave states, which
seriously affects thermodynamic quantities at low temperatures. Also, it is
shown that when the magnitude of the spin-orbit interaction is smaller than the
superconducting gap, the specific heat as a function of a magnetic field
exhibit a two-gap-like behavior, even when there is only a single gap. These
features characterize parity violated Cooper pairs in weakly noncentrosymmetric
systems. We suggest the possible detection of these effects in the
superconductor with weakly broken inversion symmetry Y_2C_3.


title:
Comment to the paper "Radiation induced by relativistic electrons
  propagating through random layered stacks: Numerical simulation results" by
  A.A.Varfolomeev and et al NIM B 256,705 (2007)

abstract:
  We show that the numerical code used in the above mentioned paper does not
take into account the multiple scattering effects of electromagnetic field
properly and is therefore incorrect.


title: Random Shooting of Entangled Particles in Vacuum

abstract:
  The effect of random shooting of particles is considered on the basis of
solution of the Schrodinger equation and in terms of the Wigner function.
Two-particles description shows, in particular, that initial correlation leads
to high velocities of particles. This could be a potential mechanism for
obtaining energy. Evolution of the n-particle probability distribution is
descibed analytically.


title: Perturbative SO(10) GUT and the Minimal Higgs Sector

abstract:
  The breaking of SO(10) to SU(3)_C x U(1)_EM can be accomplished by just four
Higgs fields: the symmetric rank-two tensor, S(54); a pair of spinors, C(16)
and Cbar(16bar); and a vector, T(10). This setup is also able to generate
realistic fermion masses. The heavy color triplets in the vector and spinor
fields mediate proton decay via dimension-five operators. The experimental
bounds on proton decay constrain the structure and size of the Yukawa
operators.


title:
Pulse Profiles, Spectra and Polarization Characteristics of Non-Thermal
  Emissions from the Crab-Like Pulsars

abstract:
  We discuss non-thermal emission mechanism of the Crab-like pulsars with both
a two-dimensional electrodynamical study and a three-dimensional model. We
investigate the emission process in the outer gap accelerator. In the
two-dimensional electrodynamical study, we solve the Poisson equation of the
accelerating electric field in the outer gap and the equation of motion of the
primary particles with the synchrotron and the curvature radiation process and
the pair-creation process. We show a solved gap structure which produces a
consistent gamma-ray spectrum with EGRET observation. Based on the
two-dimensional model, we conduct a three-dimensional emission model to
calculate the synchrotron and the inverse-Compton processes of the secondary
pairs produced outside the outer gap. We calculate the pulse profiles, the
phase-resolved spectra and the polarization characteristics in optical to
$\gamma$-ray bands to compare the observation of the Crab pulsar and PSR
B0540-69. For the Crab pulsar, we find that the outer gap geometry extending
from near the stellar surface to near the light cylinder produces a complex
morphology change of the pulse profiles as a function of the photon energy.
This predicted morphology change is quite similar with that of the
observations. The calculated phase-resolved spectra are consistent with the
data through optical to the $\gamma$-ray bands. We demonstrate that the
10$\sim$20 % of the polarization degree in the optical emissions from the Crab
pulsar and the Vela pulsar are explained by the synchrotron emissions with the
particle gyration motion.


title: A Semigroup Theory of Rate Independent Hysteresis

abstract:
  We explore a macroscopic, algebraic approach to rate independent hysteresis
using semigroup theory. A macroscopic description of metastable states relevant
to rate independent hysteresis is introduced using field history. The semigroup
structure of the history space is identified. Using semigroup theory and
related mathematical techniques, the general relation between return point
memory (RPM) and partial order is discovered. For hysteresis system with RPM, a
variational principle is identified. The erasing properties of field histories
are also characterized. The connection between this semigroup approach and
other models are also discussed.


title: Operator valued frames on C*-modules

abstract:
  Frames on Hilbert C*-modules have been defined for unital C*-algebras by
Frank and Larson and operator valued frames on a Hilbert space have been
studied in arXiv.0707.3272v1.[math.FA]. Goal of the present paper is to
introduce operator valued frames on a Hilbert C*-module for a sigma-unital
C*-algebra. Theorem 1.4 reformulates the definition given by Frank and Larson
in terms of a series of rank-one operators converging in the strict topology.
Theorem 2.2. shows that the frame transform and the frame projection of an
operator valued frame are limits in the strict topology of a series of elements
in the multiplier algebra and hence belong to it. Theorem 3.3 shows that two
operator valued frames are right similar if and only if they share the same
frame projection. Theorem 3.4 establishes a one to one correspondence between
Murray-von Neumann equivalence classes of projections in the multiplier algebra
and right similarity equivalence classes of operator valued frames and provides
a parametrization of all Parseval operator-valued frames on a given Hilbert
C*-module. Left similarity is then defined and Proposition 3.9 establishes when
two left unitarily equivalent frames are also right unitarily equivalent.


title: Valdivia compact groups are products

abstract:
  It is shown that every Valdivia compact group is homeomorphic to a product of
metrizable compacta.


title:
Finsleroid Corrects Pressure and Energy of Universe. Respective
  Cosmological Equations

abstract:
  The Hubble constant proves to be the pseudo-Finsleroid--Landsberg factor. The
covariantly conserved pseudo-Finsleroid--gravitational tensor is explicitly
found after evaluating the respective Finsleroid--case curvature tensor and
required contractions in attentive way. The equations arisen involve one
parameter g of extension which measures the Finslerian deviation of the
curvature of the indicatrix of unit vectors. The vector field b^i(x) of the
axes of the pseudo--Finsleroids is naturally identified to the field of average
velocity vectors of matter of the universe. The consistent (and unique)
continuation of the Robertson--Walker metric, and hence the Friedmann metrics,
in the Finslerian domain with respect to the parameter g is arisen. The
cosmological pressure and energy density prove to be linear functions of g^2,
so that the presence of the negative pressure seems to be not necessary to get
the agreement with the observed negative nature of deceleration parameter. We
clarify the explicit structure of all the involved tensorial objects.


title:
Spectral decomposition approach to macroscopic parameters of
  Fokker-Planck flows: Part 1

abstract:
  In this paper we proceed with investigation of connections between Fokker -
Planck equation and continuum mechanics. In spectral decomposition of Fokker -
Planck equation solution we preserve only terms with the smallest degree of
damping. We find, that macroscopic parameters of Fokker-Planck flows, obtained
in this way, have following properties: velocities field possess potential, its
potential is proportional to density logarithm and satisfy diffusion equation.
We proved, that such a pair of density and velocities field satisfy the set of
classic hydrodynamics equations for isothermal compressible fluid with friction
mass force, proportional to velocity. We proved also, that the potential
velocities field alone, with potential, which satisfy diffusion equation,
satisfy Burgers equation without mass forces.


title: Chemical nanomachining of silicon by gold-catalyzed oxidation

abstract:
  A chemical nanomachining process for the rapid, scalable production of
nanostructure assemblies from silicon-on-insulator is demonstrated. The process
is based on the spontaneous, local oxidation of Si induced by Au, which is
selectively evaporated onto the Si surface. The Au-catalyzed oxide forms a
pattern that serves as a robust mask for the underlying Si, enabling the use of
simple wet chemistry to sculpt arrays of nanostructures of diverse shapes
including rings, pillars, wires, and nanopores. The remarkable simplicity of
this chemical nanomachining process makes it widely accessible as an enabling
technique for applications from photonics to biotechnology.


title: Possible signatures of unparticles in rare annihilation type B decays

abstract:
  We investigate the effect of unparticles in the pure annihilation type decays
$B^- \to D_s^-\phi $ and $ D_s^- K^{*0}$. Since these decays have only
annihilation contributions their branching ratios are expected to be very small
in the standard model and the direct CP asymmetry parameters to be zero. We
find that due to the unparticle effect these branching ratios can be
significantly enhanced from their standard model values. Furthermore, sizable
nonzero direct CP violation could also be possible in these channels due to the
presence of intrinsic CP conserving phase in the unparticle propagator.


title: Tetra-Quark Resonances in Lattice QCD

abstract:
  We study $qq \bar q \bar q$-type four-quark (4Q) systems in SU(3)$_c$
anisotropic quenched lattice QCD, using the $O(a)$-improved Wilson (clover)
fermion at $\beta=5.75$ on $12^3 \times 96$ with renormalized anisotropy
$a_s/a_t=4$.For comparison, we first investigate the lowest $q\bar q$ scalar
meson from the connected diagram and find its large mass of about 1.32GeV after
chiral extrapolation, and thus the lowest $q\bar q$ scalar meson corresponds to
$f_0(1370)$.We investigate the lowest 4Q state in the spatially periodic
boundary condition, and find that it is just a two-pion scattering state, as is
expected. To examine spatially-localized 4Q resonances, we use the Hybrid
Boundary Condition (HBC) method, where anti-periodic and periodic boundary
conditions are imposed on quarks and antiquarks, respectively. By applying HBC
on a finite-volume lattice, the threshold of the two-meson scattering state is
raised up, while the mass of a compact 4Q resonance is almost unchanged.In HBC,
the lowest 4Q state appears slightly below the two-meson threshold. To clarify
the nature of the 4Q system, we apply the Maximum Entropy Method (MEM) for the
4Q correlator and obtain the spectral function of the 4Q system.From the
combination analysis of MEM with HBC, we finally conclude that the 4Q system
appears as a two-pion scattering state and there is no spatially-localized 4Q
resonance in the quark-mass region of $m_s< m_q <2m_s$.


title: Root systems for asymmetric geometric representations of Coxeter groups

abstract:
  Results are obtained concerning the roots of asymmetric geometric
representations of Coxeter groups. These representations were independently
introduced by Vinberg and Eriksson, and generalize the standard geometric
representation of a Coxeter group in such a way as to include all Kac--Moody
Weyl groups. In particular, a characterization of when a non-trivial multiple
of a root may also be a root is given in the general context. Characterizations
of when the number of such multiples of a root is finite and when the number of
positive roots sent to negative roots by a group element is finite are also
given. These characterizations are stated in terms of combinatorial conditions
on a graph closely related to the Coxeter graph for the group. Other finiteness
results for the symmetric case which are connected to the Tits cone and to a
natural partial order on positive roots are extended to this asymmetric
setting.


title:
Linear and nonlinear optical spectroscopy of a strongly-coupled
  microdisk-quantum dot system

abstract:
  A fiber taper waveguide is used to perform direct optical spectroscopy of a
microdisk-quantum-dot system, exciting the system through the photonic (light)
channel rather than the excitonic (matter) channel. Strong coupling, the regime
of coherent quantum interactions, is demonstrated through observation of vacuum
Rabi splitting in the transmitted and reflected signals from the cavity. The
fiber coupling method also allows the examination of the system's steady-state
nonlinear properties, where saturation of the cavity-QD response is observed
for less than one intracavity photon.


title: SCUBA Mapping of Outer Galaxy Protostellar Candidates

abstract:
  We aim to study dust properties of massive star forming regions in the outer
Galaxy, in a direction opposite to the Galactic center. We present observations
of six outer Galaxy point sources IRAS 01045+6505, 01420+6401, 05271+3059,
05345+3556, 20222+3541 and 20406+4555, taken with the Submillimeter Common-User
Bolometer Array (SCUBA) on the James Clerk Maxwell Telescope (JCMT) at 450 and
850 micron. Single temperature greybody models are fitted to the Spectral
Energy Distribution of the detected sub-mm cores to derive dust temperature,
dust emissivity index and optical depth at 250 micron. The observed radial
intensity profiles of the sub-mm cores were fitted with power laws to derive
the indices describing the density distribution. At a resolution of 15" all six
IRAS point sources show multiple emission peaks. Only four out of fourteen
detected sub-mm cores show associated mid-infrared emission. For the sub-mm
cores we derive dust temperatures of 32+-5 K and dust emissivity indices
between 0.9 and 2.5. The density profiles of the sub-mm cores can be fitted by
a single power law distribution with indices -1.5+-0.3, with most cores showing
an index of -1.5. This is consistent with most observations of massive star
forming regions and supports predictions of models of star formation which
consider non-thermal support against gravitational collapse.


title: Supercuspidal characters of reductive p-adic groups

abstract:
  We compute the characters of many supercuspidal representations of reductive
p-adic groups. Specifically, we deal with representations that arise via Yu's
construction from data satisfying a certain compactness condition. Each
character is expressed in terms of a depth-zero character of a smaller group,
the (linear) characters appearing in Yu's construction, Fourier transforms of
orbital integrals, and certain signs and cardinalities that are described
explicitly in terms of the datum associated to the representation and of the
element at which the character is evaluated.


title: Thermodynamic duality between RN black hole and 2D dilaton gravity

abstract:
  All thermodynamic quantities of the Reissner-Nordstr\"om (RN) black hole can
be obtained from the dilaton and its potential of two dimensional (2D) dilaton
gravity. The dual relations of four thermodynamic laws are also established.
Furthermore, the near-horizon thermodynamics of the extremal RN black hole is
completely described by the Jackiw-Teitelboim theory which is obtained by
perturbing around the AdS$_2$-horizon.


title: Finite index subgroups of the modular group and their modular forms

abstract:
  Classically, congruence subgroups of the modular group, which can be
described by congruence relations, play important roles in group theory and
modular forms. In reality, the majority of finite index subgroups of the
modular group are noncongruence. These groups as well as their modular forms
are central players of this survey article. Differences between congruence and
noncongruence subgroups and modular forms will be discussed. We will mainly
focus on three interesting aspects of modular forms for noncongruence
subgroups: the unbounded denominator property, modularity of the Galois
representation arising from noncongruence cuspforms, and Atkin and
Swinnerton-Dyer congruences.


title: Morita equivalences of cyclotomic Hecke algebras of type G(r,p,n)

abstract:
  We prove a Morita reduction theorem for the cyclotomic Hecke algebras
H_{r,p,n}({q,Q})$ of type G(r,p,n). As a consequence, we show that computing
the decomposition numbers of H_{r,p,n}(Q) reduces to computing the
p'-splittable decomposition numbers of the cyclotomic Hecke algebras
H_{r',p',n'}(Q'), where $1\le r'\le r$, $1\le n'\le n$, $ p'\mid p$ and where
the parameters Q' are contained in a single $(\epsilon,q)$-orbit and $\epsilon$
is a primitive p'th root of unity.


title:
Logarithmic corrections and universal amplitude ratios in the 4-state
  Potts model

abstract:
  Monte Carlo and series expansion data for the energy, specific heat,
magnetisation and susceptibility of the 4-state Potts model in the vicinity of
the critical point are analysed. The role of logarithmic corrections is
discussed. Estimates of universal ratios A_+/A_-, $\Gamma_+/\Gamma_L$,
$\Gamma_T/\Gamma_L$ and R_c^+ are given.


title:
Black hole evaporation in a spherically symmetric non-commutative
  space-time

abstract:
  Recent work in the literature has studied the quantum-mechanical decay of a
Schwarzschild-like black hole, formed by gravitational collapse, into
almost-flat space-time and weak radiation at a very late time. The relevant
quantum amplitudes have been evaluated for bosonic and fermionic fields,
showing that no information is lost in collapse to a black hole. On the other
hand, recent developments in noncommutative geometry have shown that, in
general relativity, the effects of non-commutativity can be taken into account
by keeping the standard form of the Einstein tensor on the left-hand side of
the field equations and introducing a modified energy-momentum tensor as a
source on the right-hand side. Relying on the recently obtained
non-commutativity effect on a static, spherically symmetric metric, we have
considered from a new perspective the quantum amplitudes in black hole
evaporation. The general relativity analysis of spin-2 amplitudes has been
shown to be modified by a multiplicative factor F depending on a constant
non-commutativity parameter and on the upper limit R of the radial coordinate.
Limiting forms of F have been derived which are compatible with the adiabatic
approximation.


title:
Discovering Relic Gravitational Waves in Cosmic Microwave Background
  Radiation

abstract:
  The authority of J. A. Wheeler in many areas of gravitational physics is
immense, and there is a connection with the study of relic gravitational waves
as well. I begin with a brief description of Wheeler's influence on this study.
One part of the paper is essentially a detailed justification of the very
existence of relic gravitational waves, account of their properties related to
the quantum-mechanical origin, derivation of the expected magnitude of their
effects, and reasoning why they should be detectable in the relatively near
future. This line of argument includes the comparison of relic gravitational
waves with density perturbations of quantum-mechanical origin, and the severe
criticism of methods and predictions of inflationary theory. Another part of
the paper is devoted to active searches for relic gravitational waves in cosmic
microwave background radiation (CMB). Here, the emphasis is on the
temperature-polarization TE cross-correlation function of CMB. The expected
numerical level of the correlation, its sign, statistics, and the most
appropriate interval of angular scales are identified. Other correlation
functions are also considered. The overall conclusion is such that the
observational discovery of relic gravitational waves looks like the matter of a
few coming years, rather than a few decades.


title: Discontinuity in the specific heat of a weakly interacting Bose gas

abstract:
  We produce the discontinuity in the specific heat of a homogeneous, dilute,
and weakly interacting Bose gas in a short-wavelength range with a simple
statistical method. The magnitude of the discontinuity at the phase transition
temperature is obtained as a function of the density and scattering length of
the Bose particles.


title: Multi-scale correlations in different futures markets

abstract:
  In the present work we investigate the multiscale nature of the correlations
for high frequency data (1 minute) in different futures markets over a period
of two years, starting on the 1st of January 2003 and ending on the 31st of
December 2004. In particular, by using the concept of "local" Hurst exponent,
we point out how the behaviour of this parameter, usually considered as a
benchmark for persistency/antipersistency recognition in time series, is
largely time-scale dependent in the market context. These findings are a direct
consequence of the intrinsic complexity of a system where trading strategies
are scale-adaptive. Moreover, our analysis points out different regimes in the
dynamical behaviour of the market indices under consideration.

categories: q-fin.ST physics.comp-ph physics.data-an physics.soc-ph


title:
Cu-spin dynamics in the overdoped regime of La_2-x_Sr_x_Cu_1-y_Zn_y_O_4_
  probed by muon spin relaxation

abstract:
  Muon-spin-relaxation measurements have been performed for the partially
Zn-substituted La_2-x_Sr_x_Cu_1-y_Zn_y_O_4_ with y=0-0.10 in the overdoped
regime up to x=0.30. In the 3 % Zn-substituted samples up to x=0.27,
exponential-like depolarization of muon spins has been observed at low
temperatures, indicating Zn-induced slowing-down of the Cu-spin fluctuations.
The depolarization rate decreases with increasing x and almost no fast
depolarization of muon spins has been observed for x=0.30 where
superconductivity disappears. The present results suggest that the dynamical
stripe correlations exist in the whole superconducting regime of
La_2-x_Sr_x_CuO_4_ and that there is no quantum critical point at x~0.19.


title:
On the statistics of the minimal solution of a linear Diophantine
  equation and uniform distribution of the real part of orbits in hyperbolic
  spaces

abstract:
  We study a variant of a problem considered by Dinaburg and Sinai on the
statistics of the minimal solution to a linear Diophantine equation. We show
that the signed ratio between the Euclidean norms of the minimal solution and
the coefficient vector is uniformly distributed modulo one. We reduce the
problem to an equidistribution theorem of Anton Good concerning the orbits of a
point in the upper half-plane under the action of a Fuchsian group.


title:
Absence of Hybridization Gap in Heavy Electron Systems and Analysis of
  YbAl3 in terms of Nearly Free Electron Conduction Band

abstract:
  In the analysis of the heavy electron systems, theoretical models with c-f
hybridization gap are often used. We point out that such a gap does not exist
and the simple picture with the hybridization gap is misleading in the metallic
systems, and present a correct picture by explicitly constructing an effective
band model of YbAl_3. Hamiltonian consists of a nearly free electron model for
conduction bands which hybridize with localized f-electrons, and includes only
a few parameters. Density of states, Sommerfeld coefficient, f-electron number
and optical conductivity are calculated and compared with the band calculations
and the experiments.


title:
Haptic Manipulation of Microspheres Using Optical Tweezers Under the
  Guidance of Artificial Force Fields

abstract:
  Using optical tweezers and a haptic device, microspheres having diameters
ranging from 3 to 4 um (floating in a fluid solution) are manipulated in order
to form patterns of coupled optical microresonators by assembling the spheres
via chemical binding. For this purpose, biotin-coated microspheres trapped by a
laser beam are steered and chemically attached to an immobilized
streptavidin-coated sphere (i.e. anchor sphere) one by one using an XYZ piezo
scanner controlled by a haptic device. The positions of all spheres in the
scene are detected using a CCD camera and a collision-free path for each
manipulated sphere is generated using the potential field approach. The forces
acting on the manipulated particle due to the viscosity of the fluid and the
artificial potential field are scaled and displayed to the user through the
haptic device for better guidance and control during steering. In addition, a
virtual fixture is implemented such that the desired angle of approach and
strength are achieved during the binding phase. Our experimental studies in
virtual and real environments with 8 human subjects show that haptic feedback
significantly improves the user performance by reducing the task completion
time, the number of undesired collisions during steering, and the positional
errors during binding. To our knowledge, this is the first time that a haptic
device is coupled with OT to guide the user during an optical manipulation task
involving steering and assembly of microspheres to construct a coupled
microresonator.


title:
Moon Shadow by Cosmic Rays under the Influence of Geomagnetic Field and
  Search for Antiprotons at Multi-TeV Energies

abstract:
  We have observed the shadowing of galactic cosmic ray flux in the direction
of the moon, the so-called moon shadow, using the Tibet-III air shower array
operating at Yangbajing (4300 m a.s.l.) in Tibet since 1999. Almost all cosmic
rays are positively charged; for that reason, they are bent by the geomagnetic
field, thereby shifting the moon shadow westward. The cosmic rays will also
produce an additional shadow in the eastward direction of the moon if cosmic
rays contain negatively charged particles, such as antiprotons, with some
fraction. We selected 1.5 x10^{10} air shower events with energy beyond about 3
TeV from the dataset observed by the Tibet-III air shower array and detected
the moon shadow at $\sim 40 \sigma$ level. The center of the moon was detected
in the direction away from the apparent center of the moon by 0.23$^\circ$ to
the west. Based on these data and a full Monte Carlo simulation, we searched
for the existence of the shadow produced by antiprotons at the multi-TeV energy
region. No evidence of the existence of antiprotons was found in this energy
region. We obtained the 90% confidence level upper limit of the flux ratio of
antiprotons to protons as 7% at multi-TeV energies.


title:
Some connections between results and problems of De Giorgi, Moser and
  Bangert

abstract:
  Using theorems of Bangert, we prove a rigidity result which shows how a
question raised by Bangert for elliptic integrands of Moser type is connected,
in the case of minimal solutions without self-intersections, to a famous
conjecture of De Giorgi for phase transitions.


title: The Design of Diamond Compton Telescope

abstract:
  We have developed radiation detectors using the new synthetic diamonds. The
diamond detector has an advantage for observations of "low/medium" energy gamma
rays as a Compton telescope. The primary advantage of the diamond detector can
reduce the photoelectric effect in the low energy range, which is background
noise for tracking of the Compton recoil electron. A concept of the Diamond
Compton Telescope (DCT) consists of position sensitive layers of
diamond-striped detector and calorimeter layer of CdTe detector. The key part
of the DCT is diamond-striped detectors with a higher positional resolution and
a wider energy range from 10 keV to 10 MeV. However, the diamond-striped
detector is under development. We describe the performance of prototype diamond
detector and the design of a possible DCT evaluated by Monte Carlo simulations.


title:
Magnetocrystalline anisotropy controlled local magnetic configurations
  in (Ga,Mn)As spin-transfer-torque microdevices

abstract:
  The large saturation magnetization in conventional dense moment ferromagnets
offers flexible means of manipulating the ordered state through demagnetizing
shape anisotropy fields but these dipolar fields, in turn, limit the
integrability of magnetic elements in information storage devices. We show that
in a (Ga,Mn)As dilute moment ferromagnet, with comparatively weaker magnetic
dipole interactions, locally tunable magnetocrystalline anisotropy can take the
role of the internal field which determines the magnetic configuration.
Experiments and theoretical modeling are presented for lithographically
patterned microchannels and the phenomenon is attributed to lattice relaxations
across the channels. The utility of locally controlled magnetic anisotropies is
demonstrated in current induced switching experiments. We report structure
sensitive, current induced in-plane magnetization switchings well below the
Curie temperature at critical current densities 10^5 Acm^-2. The observed
phenomenology shows signatures of a contribution from domain-wall
spin-transfer-torque effects.


title: Extended Air Shower Simulations Based on EPOS

abstract:
  We discuss air shower simulations based on the EPOS hadronic interaction
model.
  A remarkable feature is the fact that the number of produced muons is
considerably larger compared to other interaction models. We show that this is
due to an improved treatment of baryon-antibaryon production.


title:
On positivity of quantum measure and of effective action in area tensor
  Regge calculus

abstract:
  Because of unboundedness of the general relativity action, Euclidean version
of the path integral in general relativity requires definition. Area tensor
Regge calculus is considered in the representation with independent area tensor
and finite rotation matrices. Being integrated over rotation matrices the path
integral measure in area tensor Regge calculus is rewritten by moving
integration contours to complex plain so that it looks as that one with
effective action in the exponential with positive real part. We speculate that
positivity of the measure can be expected in the most part of range of
variation of area tensors.


title: Elliptic flow of deuterons in relativistic heavy-ion collisions

abstract:
  Using a dynamical model based on the $NN \to d\pi$, $NNN \to dN$, and $NN\pi
\to d\pi$ reactions and measured proton and pion transverse momentum spectra
and elliptic flows, we study the production of deuterons and their elliptic
flow in heavy ion collisions at RHIC. The results are compared with those from
the coalescence model. The deviation of deuteron elliptic flow from the
constituent nucleon number scaling expected from the coalescence model and the
comparison with the experimental data are discussed in connection to the
allowed nucleon phase space in these reactions.


title:
Hamiltonian Dynamics of Linearly Polarized Gowdy Models Coupled to
  Massless Scalar Fields

abstract:
  The purpose of this paper is to analyze in detail the Hamiltonian formulation
for the compact Gowdy models coupled to massless scalar fields as a necessary
first step towards their quantization. We will pay special attention to the
coupling of matter and those features that arise for the three-handle and
three-sphere topologies that are not present in the well studied three torus
case -in particular the polar constraints that come from the regularity
conditions on the metric. As a byproduct of our analysis we will get an
alternative understanding, within the Hamiltonian framework, of the appearance
of initial and final singularities for these models.


title: Dark matter annihilation near a black hole: plateau vs. weak cusp

abstract:
  Dark matter annihilation in so-called ``spikes'' near black holes is believed
to be an important method of indirect dark matter detection. In the case of
circular particle orbits, the density profile of dark matter has a plateau at
small radii, the maximal density being limited by the annihilation
cross-section. However, in the general case of arbitrary velocity anisotropy
the situation is different. Particulary, for isotropic velocity distribution
the density profile cannot be shallower than r^{-1/2} in the very centre.
Indeed, a detailed study reveals that in many cases the term ``annihilation
plateau'' is misleading, as the density actually continues to rise towards
small radii and forms a weak cusp, rho ~ r^{-(beta+1/2)}, where beta is the
anisotropy coefficient. The annihilation flux, however, does not change much in
the latter case, if averaged over an area larger than the annihilation radius.


title: Molecular gas in QSO host galaxies at z>5

abstract:
  We present observations with the IRAM Plateau de Bure Interferometer of three
QSOs at z>5 aimed at detecting molecular gas in their host galaxies as traced
by CO transitions. CO (5-4) is detected in SDSSJ033829.31+002156.3 at z=5.0267,
placing it amongst the most distant sources detected in CO. The CO emission is
unresolved with a beam size of ~1", implying that the molecular gas is
contained within a compact region, less than ~3kpc in radius. We infer an upper
limit on the dynamical mass of the CO emitting region of ~3x10^10
Msun/sin(i)^2. The comparison with the Black Hole mass inferred from near-IR
data suggests that the BH-to-bulge mass ratio in this galaxy is significantly
higher than in local galaxies. From the CO luminosity we infer a mass reservoir
of molecular gas as high as M(H2)=2.4x10^10 Msun, implying that the molecular
gas accounts for a significant fraction of the dynamical mass. When compared to
the star formation rate derived from the far-IR luminosity, we infer a very
short gas exhaustion timescale (~10^7 yrs), comparable to the dynamical
timescale. CO is not detected in the other two QSOs (SDSSJ083643.85+005453.3
and SDSSJ163033.90+401209.6) and upper limits are given for their molecular gas
content. When combined with CO observations of other type 1 AGNs, spanning a
wide redshift range (0<z<6.4), we find that the host galaxy CO luminosity
(hence molecular gas content) and the AGN optical luminosity (hence BH
accretion rate) are correlated, but the relation is not linear: L(CO) ~
[lambda*L_lambda(4400A)]^0.72. Moreover, at high redshifts (and especially at
z>5) the CO luminosity appears to saturate. We discuss the implications of
these findings in terms of black hole-galaxy co-evolution.


title:
Statistical mechanical analysis of the linear vector channel in digital
  communication

abstract:
  A statistical mechanical framework to analyze linear vector channel models in
digital wireless communication is proposed for a large system. The framework is
a generalization of that proposed for code-division multiple-access systems in
Europhys. Lett. 76 (2006) 1193 and enables the analysis of the system in which
the elements of the channel transfer matrix are statistically correlated with
each other. The significance of the proposed scheme is demonstrated by
assessing the performance of an existing model of multi-input multi-output
communication systems.

categories: cs.IT cond-mat.dis-nn cond-mat.stat-mech math.IT


title:
On The Capacity of Surfaces in Manifolds with Nonnegative Scalar
  Curvature

abstract:
  Given a surface in an asymptotically flat 3-manifold with nonnegative scalar
curvature, we derive an upper bound for the capacity of the surface in terms of
the area of the surface and the Willmore functional of the surface. The
capacity of a surface is defined to be the energy of the harmonic function
which equals 0 on the surface and goes to 1 at infinity. Even in the special
case of Euclidean space, this is a new estimate. More generally, equality holds
precisely for a spherically symmetric sphere in a spatial Schwarzschild
3-manifold. As applications, we obtain inequalities relating the capacity of
the surface to the Hawking mass of the surface and the total mass of the
asymptotically flat manifold.


title:
Phase coherence, inelastic scattering, and interaction corrections in
  pumping through quantum dots

abstract:
  Adiabatic quantum pumping in noninteracting, phase coherent quantum dots is
elegantly described by Brouwer's formula. Interactions within the dot, while
suppressing phase coherence, make Brouwer's formalism inapplicable. In this
paper, we discuss the nature of the physical processes forcing a description of
pumping beyond Brouwer's formula, and develop, using a controlled adiabatic
expansion, a useful formalism to study the effect of interactions within a
generic perturbative scheme. The pumped current consists of a first
contribution, analogous to Brouwer's formula and accounting for the remanent
coherence, and of interaction corrections describing inelastic scattering. We
apply the formalism to study the effect of interaction with a bosonic bath on a
resonant level pump and discuss the robustness of the quantization of the
pumped charge in turnstile cycles.


title: Non-real zeros of linear differential polynomials

abstract:
  Lower bounds are given for the number of non-real zeros of a second order
linear differential polynomial with constant coefficients in a real entire
function with finitely many non-real zeros.


title: On the irrelevant disorder regime of pinning models

abstract:
  Recent results have lead to substantial progress in understanding the role of
disorder in the (de)localization transition of polymer pinning models. Notably,
there is an understanding of the crucial issue of disorder relevance and
irrelevance that is now rigorous. In this work, we exploit interpolation and
replica coupling methods to obtain sharper results on the irrelevant disorder
regime of pinning models. In particular, in this regime, we compute the first
order term in the expansion of the free energy close to criticality and this
term coincides with the first order of the formal expansion obtained by field
theory methods. We also show that the quenched and quenched averaged
correlation length exponents coincide, while, in general, they are expected to
be different. Interpolation and replica coupling methods in this class of
models naturally lead to studying the behavior of the intersection of certain
renewal sequences and one of the main tools in this work is precisely renewal
theory and the study of these intersection renewals.


title: Quantum Information from Graviton-Matter Gas

abstract:
  We present basics of conceptually new-type way for explaining of the origin,
evolution and current physical properties of our Universe from the
graviton-matter gas viewpoint. Quantization method for the Friedmann-Lemaitre
Universe based on the canonical Hamilton equations of motion is proposed and
quantum information theory way to physics of the Universe is showed. The
current contribution from the graviton-matter gas temperature in quintessence
approximation is discussed.

categories: gr-qc cond-mat.stat-mech hep-th math-ph math.MP quant-ph


title: Automated calculations for multi-leg processes

abstract:
  The search for signals of new physics at the forthcoming LHC experiments
involves the analysis of final states characterised by a high number of
hadronic jets or identified particles. Precise theoretical predictions for
these processes require the computation of scattering amplitudes with a large
number of external particles and beyond leading order in perturbation theory.
The complexity of a calculation grows with the number of internal loops as well
as with the number of external legs. Automatisation of at least next-to-leading
order calculations for LHC processes is therefore a timely task. I will discuss
various approaches.


title:
The role of the $\Lambda(1405)$ in the $pp\to p K^+\Lambda(1405)$
  reaction

abstract:
  We report a theoretical study of the $pp\to p K^+\Lambda(1405)$ reaction,
which was recently investigated at COSY-J\"{u}lich by using a 3.65 GeV/c
circulating proton beam incident on an internal hydrogen target. The reaction
is driven by single kaon exchange, single pion exchange, and single rho
exchange terms which have very different shapes due to the two pole structure
of the $\Lambda(1405)$ and the presence of background terms. The shape for the
sum of the three contributions, as well as the total cross section, are
consistent with present data within experimental and theoretical uncertainties,
using reasonable form factors for the meson-baryon vertices.


title: CP Violation in the General Two-Higgs-Doublet Model: a Geometric View

abstract:
  We discuss the CP properties of the potential in the general
Two-Higgs-Doublet Model (THDM). This is done in a concise way using real gauge
invariant functions built from the scalar products of the doublet fields. The
space of these invariant functions, parametrising the gauge orbits of the Higgs
fields, is isomorphic to the forward light cone and its interior. CP
transformations are shown to correspond to reflections in the space of the
gauge invariant functions. We consider CP transformations where no mixing of
the Higgs doublets is taken into account as well as the general case where the
Higgs basis is not fixed. We present basis independent conditions for explicit
CP violation which may be checked easily for any THDM potential. Conditions for
spontaneous CP violation, that is CP violation through the vacuum expectation
values of the Higgs fields, are also derived in a basis independent way.


title: On the geometry of cohomogeneity one manifolds with positive curvature

abstract:
  This is a survey on cohomogeneity one manifolds with positive curvature. We
discuss the known examples of this type and their geometry and the functions
that describe the metric. We also describe the classification of cohomogeneity
one manifolds that can admit a metric with positive curvature due to
Grove-Wilking-Ziller. Two series of candidates arose in this classification for
which it is not yet know if they admit positive curvature. The connection of
these candidates to the Hitchin self dual Einstein orbifolds is discussed as
well, including the curvature properties of the Hitchin metrics.