title:
Dependence of the Magnetization of an Ensemble of Single-Domain
  Particles on the Measurement Time within Various Experimental and
  Computational Methods

abstract:
  The effect of a measurement time duration on the parameters of magnetization
curves for an ensemble of identical noninteracting single-domain particles with
equally oriented axes under the uniaxial anisotropy has been specifed for
different experiment modes, in particular for the cases of relaxation
measurements and the continuous sweep of a static magnetic field. The relation
between a blocking temperature and experiment characteristics has been found
for these modes. A recursion method to calculate the magnetization reversal
curves for such an ensemble of particles is proposed. By comparing the results
of calculations of the magnetic properties by the recursion and Monte-Carlo
methods, an algorithm to establish the relation between the equivalent
measurement time and such parameters of the Monte-Carlo method as the number of
steps and the value of aperture is suggested.


title:
A model of the quantum-classical and mind-brain connections, and of the
  role of the quantum Zeno effect in the physical implementation of conscious
  intent

abstract:
  A simple exactly solvable model is given of the dynamical coupling between a
person's classically described perceptions and that person's quantum
mechanically described brain. The model is based jointly upon von Neumann's
theory of measurement and the empirical findings of close connections between
conscious intentions and synchronous oscillations in well separated parts of
the brain. A quantum-Zeno-effect-based mechanism is described that allows
conscious intentions to influence brain activity in a functionally appropriate
way. The robustness of this mechanism in the face of environmental decoherence
effects is emphasized.


title: Lagrangian dispersion and heat transport in convective turbulence

abstract:
  Lagrangian studies of the local temperature mixing and heat transport in
turbulent Rayleigh-Benard convection are presented, based on three-dimensional
direct numerical simulations. Contrary to vertical pair distances, the temporal
growth of lateral pair distances agrees with the Richardson law, but yields a
smaller Richardson constant due to correlated pair motion in plumes. Our
results thus imply that Richardson dispersion is also found in anisotropic
turbulence. We find that extremely large vertical accelerations appear less
frequently than lateral ones and are not connected with rising or falling
thermal plumes. The height-dependent joint Lagrangian statistics of vertical
acceleration and local heat transfer allows us to identify a zone which is
dominated by thermal plume mixing.


title:
Poisson (co)homology of polynomial Poisson algebras in dimension four :
  Sklyanin's case

abstract:
  In this paper, we compute the Poisson (co)homology of a polynomial Poisson
structure given by two Casimir polynomial functions which define a complete
intersection with an isolated singularity.


title: A gap in the quarkyonic matter

abstract:
  It has recently been suggested that at a reasonably large chemical potential
a confining quarkyonic matter is formed that consists of the quark Fermi sea
and confined hadrons on top of this Fermi sea. We study some properties of this
matter. It is demonstrated that below the chiral restoration point there are
gapless excitations of this matter through excitations of the Goldstone bosons.
Above the chiral restoration point the single quarks are still removed from the
spectrum of excitations and the only possible excitations are confined
color-singlet hadrons with finite mass. Hence there appears a gap in the
excitation spectrum of the quarkyonic matter that should be crucially important
for its properties above the chiral restoration point. This gap is of a new
type and is not related with the condensation of the fermionic system into a
quasibosonic system. It is only due to such properties as confinement and
manifest chiral symmetry at the same time.

categories: hep-ph cond-mat.supr-con hep-lat hep-th nucl-th


title: Large induced trees in K_r-free graphs

abstract:
  For a graph G, let t(G) denote the maximum number of vertices in an induced
subgraph of G that is a tree. In this paper, we study the problem of bounding
t(G) for graphs which do not contain a complete graph K_r on r vertices. This
problem was posed twenty years ago by Erdos, Saks, and Sos. Substantially
improving earlier results of various researchers, we prove that every connected
triangle-free graph on n vertices contains an induced tree of order \sqrt{n}.
When r >= 4, we also show that t(G) >= (\log n)/(4 \log r) for every connected
K_r-free graph G of order n. Both of these bounds are tight up to small
multiplicative constants, and the first one disproves a recent conjecture of
Matousek and Samal.


title:
Whole Earth Telescope observations of the hot helium atmosphere
  pulsating white dwarf EC 20058-5234

abstract:
  We present the analysis of a total of 177h of high-quality optical
time-series photometry of the helium atmosphere pulsating white dwarf (DBV) EC
20058-5234. The bulk of the observations (135h) were obtained during a WET
campaign (XCOV15) in July 1997 that featured coordinated observing from 4
southern observatory sites over an 8-day period. The remaining data (42h) were
obtained in June 2004 at Mt John Observatory in NZ over a one-week observing
period. This work significantly extends the discovery observations of this
low-amplitude (few percent) pulsator by increasing the number of detected
frequencies from 8 to 18, and employs a simulation procedure to confirm the
reality of these frequencies to a high level of significance (1 in 1000). The
nature of the observed pulsation spectrum precludes identification of unique
pulsation mode properties using any clearly discernable trends. However, we
have used a global modelling procedure employing genetic algorithm techniques
to identify the n, l values of 8 pulsation modes, and thereby obtain
asteroseismic measurements of several model parameters, including the stellar
mass (0.55 M_sun) and T_eff (~28200 K). These values are consistent with those
derived from published spectral fitting: T_eff ~ 28400 K and log g ~ 7.86. We
also present persuasive evidence from apparent rotational mode splitting for
two of the modes that indicates this compact object is a relatively rapid
rotator with a period of 2h. In direct analogy with the corresponding
properties of the hydrogen (DAV) atmosphere pulsators, the stable low-amplitude
pulsation behaviour of EC 20058 is entirely consistent with its inferred
effective temperature, which indicates it is close to the blue edge of the DBV
instability strip. (abridged)


title:
Algebraic K-theory over the infinite dihedral group: an algebraic
  approach

abstract:
  We prove that the Waldhausen nilpotent class group of an injective index 2
amalgamated free product is isomorphic to the Farrell-Bass nilpotent class
group of a twisted polynomial extension. As an application, we show that the
Farrell-Jones Conjecture in algebraic K-theory can be sharpened from the family
of virtually cyclic subgroups to the family of finite-by-cyclic subgroups.


title: Gravitational Lensing Constraints on Dynamical and Coupled Dark Energy

abstract:
  Upcoming Weak Lensing (WL) surveys can be used to constrain Dark Energy (DE)
properties, namely if tomographic techniques are used to improve their
sensitivity. In this work, we use a Fisher matrix technique to compare the
power of CMB anisotropy and polarization data with tomographic WL data, in
constraining DE parameters. Adding WL data to available CMB data improves the
detection of all cosmological parameters, but the impact is really strong when
DE--DM coupling is considered, as WL tomography can then succeed to reduce the
errors on some parameters by factors >10.


title: Some remarks on Nil groups in algebraic K-theory

abstract:
  This note explains consequences of recent work of Frank Quinn for
computations of Nil groups in algebraic K-theory, in particular the Nil groups
occurring in the K-theory of polynomial rings, Laurent polynomial rings, and
the group ring of the infinite dihedral group.


title: Categorifying Coloring Numbers

abstract:
  Coloring numbers are one of the simplest combinatorial invariants of knots
and links to describe. And with Joyce's introduction of quandles, we can
understand them more algebraically. But can we extend these invariants to
tangles -- knots and links with free ends? Indeed we can, once we categorify.
  Starting from the definition of coloring numbers, we will categorify them and
establish this extension to tangles. Then, decategorifying will leave us with
matrix representations of the monoidal category of tangles.


title: Quantum Many-Body Dynamics of Coupled Double-Well Superlattices

abstract:
  We propose a method for controllable generation of non-local entangled pairs
using spinor atoms loaded in an optical superlattice. Our scheme iteratively
increases the distance between entangled atoms by controlling the coupling
between the double wells. When implemented in a finite linear chain of 2N
atoms, it creates a triplet valence bond state with large persistency of
entanglement (of the order of N). We also study the non-equilibrium dynamics of
the one-dimensional ferromagnetic Heisenberg Hamiltonian and show that the time
evolution of a state of decoupled triplets on each double well leads to the
formation of a highly entangled state where short-distance antiferromagnetic
correlations coexist with longer-distance ferromagnetic ones. We present
methods for detection and characterization of the various dynamically generated
states. These ideas are a step forward towards the use of atoms trapped by
light as quantum information processors and quantum simulators.


title:
Radio interferometric observations of candidate water-maser-emitting
  planetary nebulae

abstract:
  We present Very Large Array (VLA) observations of H2O and OH masers, as well
as radio continuum emission at 1.3 and 18 cm toward three sources previously
cataloged as planetary nebulae (PNe) and in which single-dish detections of H2O
masers have been reported: IRAS 17443-2949, IRAS 17580-3111, and IRAS
18061-2505. Our goal was to unambiguously confirm their nature as
water-maser-emitting PNe, a class of objects of which only two bona-fide
members were previously known. We detected and mapped H2O maser emission toward
all three sources, while OH maser emission is detected in IRAS 17443-2949 and
IRAS 17580-3111 as well as in other two objects within the observed fields:
IRAS 17442-2942 (unknown nature) and IRAS 17579-3121 (also cataloged as a
possible PN). We found radio continuum emission associated only with IRAS
18061-2505. Our results confirm IRAS 18061-2505 as the third known case of a PN
associated with H2O maser emission. The three known water-maser-emitting PNe
have clear bipolar morphologies, which suggests that water maser emission in
these objects is related to non-spherical mass-loss episodes. We speculate that
these bipolar PNe would have ``water-fountain'' Asymptotic Giant Branch (AGB)
and post-AGB stars as their precursors. A note of caution is given for other
objects that have been classified as OHPNe (objects with both OH maser and
radio continuum emission, that could be extremely young PNe) based on
single-dish observations, since interferometric data of both OH masers and
continuum are necessary for a proper identification as members of this class.


title:
Betti numbers of graded modules and the Multiplicity Conjecture in the
  non-Cohen-Macaulay case

abstract:
  We use the results by Eisenbud and Schreyer to prove that any Betti diagram
of a graded module over a standard graded polynomial ring is a positive linear
combination Betti diagrams of modules with a pure resolution. This implies the
Multiplicity Conjecture of Herzog, Huneke and Srinivasan for modules that are
not necessarily Cohen-Macaulay. We give a combinatorial proof of the convexity
of the simplicial fan spanned by the pure diagrams.


title:
A metamaterial absorber for the terahertz regime: Design, fabrication
  and characterization

abstract:
  We present a metamaterial that acts as a strongly resonant absorber at
terahertz frequencies. Our design consists of a bilayer unit cell which allows
for maximization of the absorption through independent tuning of the electrical
permittivity and magnetic permeability. An experimental absorptivity of 70% at
1.3 terahertz is demonstrated. We utilize only a single unit cell in the
propagation direction, thus achieving an absorption coefficient $\alpha$ = 2000
cm$^{-1}$. These metamaterials are promising candidates as absorbing elements
for thermally based THz imaging, due to their relatively low volume, low
density, and narrow band response.


title: Virial theorem for confined universal Fermi gases

abstract:
  Optically-trapped two-component Fermi gases near a broad Feshbach resonance
exhibit universal thermodynamics, where the properties of the gas are
independent of the details of the two-body scattering interactions. We present
a global proof that such a universal gas obeys the virial theorem for {\it any}
trapping potential $U$ and any spin mixture, without assuming either the local
density approximation or harmonic confinement. The total energy of the gas is
given in scale invariant form by $E=<\epsilon\partial U/\partial\epsilon>$,
where $\epsilon$ is an {\it arbitrary} energy scale in terms of which all
length and energy scales that appear in the confining potential are written.
This result enables model-independent energy measurement in traps that are
anharmonic as well as anisotropic by observing only the cloud profile, and
provides a consistency check for many-body calculations in the universal
regime.


title: Logics preserving degrees of truth from varieties of residuated lattices

abstract:
  Let K be a variety of (commutative, integral) residuated lattices. The
substructural logic usually associated with K is an algebraizable logic that
has K as its equivalent algebraic semantics, and is a logic that preserves
truth, i.e., 1 is the only truth value preserved by the inferences of the
logic. In this paper we introduce another logic associated with K, namely the
logic that preserves degrees of truth, in the sense that it preserves lower
bounds of truth values in inferences. We study this second logic mainly from
the point of view of abstract algebraic logic. We determine its algebraic
models and we classify it in the Leibniz and the Frege hierarchies: we show
that it is always fully selfextensional, that for most varieties K it is
non-protoalgebraic, and that it is algebraizable if and only K is a variety of
generalized Heyting algebras, in which case it coincides with the logic that
preserves truth. We also characterize the new logic in three ways: by a Hilbert
style axiomatic system, by a Gentzen style sequent calculus, and by a set of
conditions on its closure operator. Concerning the relation between the two
logics, we prove that the truth preserving logic is the purely inferential
extension of the one that preserves degrees of truth with either the rule of
Modus Ponens or the rule of Adjunction for the fusion connective.


title: Surface lattice solitons in diffusive nonlinear media

abstract:
  We address the properties of surface solitons supported by optical lattices
imprinted in photorefractive media with asymmetric diffusion nonlinearity. Such
solitons exist only in finite gaps of lattice spectrum. In contrast to
latticeless geometries, where surface waves exist only when nonlinearity
deflects light towards the material surface, the surface lattice solitons exist
in settings where diffusion would cause beam bending against the surface.


title: A Conformal Extension Theorem based on Null Conformal Geodesics

abstract:
  In this article we describe the formulation of null geodesics as null
conformal geodesics and their description in the tractor formalism. A conformal
extension theorem through an isotropic singularity is proven by requiring the
boundedness of the tractor curvature and its derivatives to sufficient order
along a congruence of null conformal geodesic. This article extends earlier
work by Tod and Luebbe.


title:
Reductions of Multicomponent mKdV Equations on Symmetric Spaces of
  DIII-Type

abstract:
  New reductions for the multicomponent modified Korteveg-de Vries (MMKdV)
equations on the symmetric spaces of {\bf DIII}-type are derived using the
approach based on the reduction group introduced by A.V. Mikhailov. The
relevant inverse scattering problem is studied and reduced to a Riemann-Hilbert
problem. The minimal sets of scattering data $\mathcal{T}_i$, $i=1,2$ which
allow one to reconstruct uniquely both the scattering matrix and the potential
of the Lax operator are defined. The effect of the new reductions on the
hierarchy of Hamiltonian structures of MMKdV and on $\mathcal{T}_i$ are
studied. We illustrate our results by the MMKdV equations related to the
algebra $\mathfrak{g}\simeq so(8)$ and derive several new MMKdV-type equations
using group of reductions isomorphic to ${\mathbb Z}_{2}$, ${\mathbb Z}_{3}$,
${\mathbb Z}_{4}$.


title: Spectral theory of no-pair Hamiltonians

abstract:
  We prove a HVZ theorem for a general class of no-pair Hamiltonians describing
an atom or positively charged ion with several electrons in the presence of a
classical external magnetic field. Moreover, we show that there exist
infinitely many eigenvalues below the essential spectrum and that the
corresponding eigenfunctions are exponentially localized. The novelty is that
the electrostatic and magnetic vector potentials as well as a non-local
exchange potential are included in the projection determining the model. As a
main technical tool we derive various commutator estimates involving spectral
projections of Dirac operators with external fields. Our results apply to all
nuclear charges less than or equal to 137.


title:
Discrete dynamics of complex bodies with substructural dissipation:
  variational integrators and convergence

abstract:
  For the linearized setting of the dynamics of complex bodies we construct
variational integrators and prove their convergence by making use of BV
estimates on the rate fields. We allow for peculiar substructural inertia and
internal dissipation, all accounted for by a d'Alembert-Lagrange-type
principle.


title:
Real-time Spectroscopy with Sub-GHz Resolution using Amplified
  Dispersive Fourier Transformation

abstract:
  Dispersive Fourier transformation is a powerful technique in which spectral
information is mapped into the time domain using chromatic dispersion. It
replaces a spectrometer with an electronic digitizer, and enables real-time
spectroscopy. The fundamental problem in this technique is the trade-off
between the detection sensitivity and spectral resolution, a limitation set by
the digitizer's bandwidth. This predicament is caused by the power loss
associated with optical dispersion. We overcome this limitation using Raman
amplified spectrum-to-time transformation. An extraordinary loss-less -11.76
ns/nm dispersive device is used to demonstrate single-shot gas absorption
spectroscopy with 950 MHz resolution--a record in real-time spectroscopy.


title:
Correlations Between Lag, Luminosity, and Duration in Gamma-ray Burst
  Pulses

abstract:
  We derive a new peak lag vs. peak luminosity relation in gamma-ray burst
(GRB) pulses. We demonstrate conclusively that GRB spectral lags are pulse
rather than burst properties and show how the lag vs. luminosity relation
determined from CCF measurements of burst properties is essentially just a
rough measure of this newly derived relation for individual pulses. We further
show that most GRB pulses have correlated properties: short-lag pulses have
shorter durations, are more luminous, and are harder within a burst than
long-lag pulses. We also uncover a new pulse duration vs. pulse peak luminosity
relation, and indicate that long-lag pulses often precede short-lag pulses.
Although most pulse behaviors are supportive of internal shocks (including
long-lag pulses), we identify some pulse shapes that could result from external
shocks.


title:
The Evolution of the Multiplicity of Embedded Protostars I: Sample
  Properties and Binary Detections

abstract:
  We present the observational results of a near-infrared survey of a large
sample of Class I protostars designed to determine the Class I binary
separation distribution from ~100 AU to ~5000 AU. We have selected targets from
a new sample of 267 nearby candidate Class I objects. This sample is well
understood, consists of mostly Class I young stellar objects (YSOs) within 1
kpc, has targets selected from the whole sky, and is not biased by previous
studies of star formation. We have observed 189 Class I YSOs north of -40
degrees declination at H, K and L'-bands, with a median angular resolution of
0.33" at L'. We determine our detection limit for close binary companions by
observing artificial binaries. We choose a contrast limit and an outer
detection limit to minimize contamination and to ensure that a candidate
companion is gravitationally bound. Our survey uses observations at L' rather
than K-band for the detection of binary companions since there is less
scattered light and better seeing at L'. This paper presents the positions of
our targets, the near-IR photometry of sources detected in our fields at L', as
well as the observed properties of the 89 detected companions (73 of which are
newly discovered). Although we have chosen contrast and separation limits to
minimize contamination, we expect that there are ~6 stars identified as binary
companions that are due to contamination. Finder charts at L' for each field
are shown to facilitate future studies of these objects.


title:
Spherical Spectral Synthesis and Two-Radius Theorems on Damek-Ricci
  Spaces

abstract:
  We prove that spherical spectral analysis and synthesis hold in Damek-Ricci
spaces and derive two-radius theorems.


title: The Van der Pol Equation

abstract:
  In this work, we present the basic theoretical efforts that are known in
order to deal with non-trivial solutions of the Van der Pol oscillator, such as
theory of average, successive approximations and symbolic dynamics. We also
construct a set of diagrams (bifurcation, 2D and 3D Fourier power spectra) and
maps, based on numerical investigations, corresponding to the expected
theoretical results. Furthermore we examine closely the existence of chaotic
attractors, both theoretically (with symbolic dynamics) and numerically (period
doubling cascades). We show how we constructed sound files, based on the
Fourier spectra, each one corresponding to a periodic, an almost periodic and a
chaotic solution, as one of the parameters of the system alters.


title: Weighted enumeration of spanning subgraphs with degree constraints

abstract:
  The Heilmann-Lieb Theorem on (univariate) matching polynomials states that
the polynomial $\sum_k m_k(G) y^k$ has only real nonpositive zeros, in which
$m_k(G)$ is the number of $k$-edge matchings of a graph $G$. There is a
stronger multivariate version of this theorem. We provide a general method by
which ``theorems of Heilmann-Lieb type'' can be proved for a wide variety of
polynomials attached to the graph $G$. These polynomials are multivariate
generating functions for spanning subgraphs of $G$ with certain weights and
constraints imposed, and the theorems specify regions in which these
polynomials are nonvanishing. Such theorems have consequences for the absence
of phase transitions in certain probabilistic models for spanning subgraphs of
$G$.


title: The Stellar Content of the Post-Starburst S0 Galaxy NGC 5102

abstract:
  The stellar content of the S0 galaxy NGC 5102 is investigated. A modest
population of bright main sequence stars and red supergiants (RSGs) is detected
throughout the western portion of the disk, and the star formation rate (SFR)
during the past ten million years is estimated to have been 0.02 solar masses
per year. RGB stars are traced out to galactocentric distances of 10 kpc, which
corresponds to ~ 14 disk scale lengths. A large population of bright asymptotic
giant branch (AGB) stars are seen throughout the western portion of the disk,
and it is concluded that (1) stars that formed within the past Gyr comprise ~
20% of the total stellar disk mass, and (2) the SFR during intermediate epochs
in the disk of NGC 5102 was at least 1.4 solar masses per year. It is suggested
that NGC 5102 was a spiral galaxy that experienced a galaxy-wide episode of
enhanced star formation that terminated a few hundred Myr in the past, and that
much of its interstellar medium was ejected in an outflow.


title: On non-axisymmetric magnetic equilibria in stars

abstract:
  In previous work stable approximately axisymmetric equilibrium configurations
for magnetic stars were found by numerical simulation. Here I investigate the
conditions under which more complex, non-axisymmetric configurations can form.
I present numerical simulations of the formation of stable equilibria from
turbulent initial conditions and demonstrate the existence of non-axisymmetric
equilibria consisting of twisted flux tubes lying horizontally below the
surface of the star, meandering around the star in random patterns. Whether
such a non-axisymmetric equilibrium or a simple axisymmetric equilibrium forms
depends on the radial profile of the strength of the initial magnetic field.
The results could explain observations of non-dipolar fields on stars such as
the B0.2 main-sequence star tau-Sco or the pulsar 1E 1207.4-5209. The secular
evolution of these equilibria due to Ohmic and buoyancy processes is also
examined.


title: Dynamics of the Nearly Parametric Pendulum

abstract:
  Dynamically stable periodic rotations of a driven pendulum provide a unique
mechanism for generating a uniform rotation from bounded excitations. This
paper studies the effects of a small ellipticity of the driving, perturbing the
classical parametric pendulum. The first finding is that the region in the
parameter plane of amplitude and frequency of excitation where rotations are
possible increases with the ellipticity. Second, the resonance tongues, which
are the most characteristic feature of the classical bifurcation scenario of a
parametrically driven pendulum, merge into a single region of instability.


title: The Classical Universes of the No-Boundary Quantum State

abstract:
  We analyze the origin of the quasiclassical realm from the no-boundary
proposal for the universe's quantum state in a class of minisuperspace models.
The models assume homogeneous, isotropic, closed spacetime geometries, a single
scalar field moving in a quadratic potential, and a fundamental cosmological
constant. The allowed classical histories and their probabilities are
calculated to leading semiclassical order. We find that for the most realistic
range of parameters analyzed a minimum amount of scalar field is required, if
there is any at all, in order for the universe to behave classically at late
times. If the classical late time histories are extended back, they may be
singular or bounce at a finite radius. The ensemble of classical histories is
time symmetric although individual histories are generally not. The no-boundary
proposal selects inflationary histories, but the measure on the classical
solutions it provides is heavily biased towards small amounts of inflation.
However, the probability for a large number of efoldings is enhanced by the
volume factor needed to obtain the probability for what we observe in our past
light cone, given our present age. Our results emphasize that it is the quantum
state of the universe that determines whether or not it exhibits a
quasiclassical realm and what histories are possible or probable within that
realm.


title: A note on multi-type cookie random walk on integers

abstract:
  We consider a random walk on integers where at the first visits to a site the
walker gets a positive drift, but where after a certain number of visits the
walker gets a negative drift. We prove that the walker is almost surely
transient to the left with positive speed.


title:
Many body effects and cluster state quantum computation in strongly
  interacting systems of photons

abstract:
  We discuss the basic properties of a recently proposed hybrid light-matter
system of strongly interacting photons in an array of coupled cavities each
doped with a single two level system. Using the non-linearity generated from
the photon blockade effect, we predict strong correlations between the hopping
photons in the array, and show the possibility of observing a phase transition
from a polaritonic insulator to a superfluid of photons. In the Mott phase,
this interaction can be mapped to an array of spins. We show how the remaining
Hamiltonian, in conjunction with individual spin manipulation, can thus be used
for simulating spin chains (useful for state transfer protocols) and cluster
state quantum computation.


title: Cobordism of fold maps, stably framed manifolds and immersions

abstract:
  We give complete geometric invariants of cobordisms of fold maps with
oriented singular set and cobordisms of even codimensional fold maps. These
invariants are given in terms of cobordisms of stably framed manifolds and
cobordisms of immersions with prescribed normal bundles defined by the author
in his earlier works.


title:
A Dual Path Integral Representation for Finite Temperature Quantum Field
  Theory

abstract:
  We impose the periodicity conditions corresponding to the Matsubara formalism
for Thermal Field Theory as constraints in the imaginary time path integral.
These constraints are introduced by means of time-independent auxiliary fields
which, by integration of the original variables, become dynamical fields in the
resulting `dual' representation for the theory. This alternative representation
has the appealing property of involving fields which live in one dimension less
than the original ones, with a quantum partition function whose integration
measure is identical to the one of its classical counterpart, albeit with a
different (spatially nonlocal) action.

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


title: Fourier-resolved energy spectra of the Narrow Line Seyfert 1 Mkn 766

abstract:
  We compute Fourier-resolved X-ray spectra of the Seyfert 1 Markarian 766 to
study the shape of the variable components contributing to the 0.3-10 keV
energy spectrum and their time-scale dependence. The fractional variability
spectra peak at 1-3 keV, as in other Seyfert 1 galaxies, consistent with either
a constant contribution from a soft excess component below 1 keV and Compton
reflection component above 2 keV, or variable warm absorption enhancing the
variability in the 1-3 keV range. The rms spectra, which shows the shape of the
variable components only, is well described by a single power law with an
absorption feature around 0.7 keV, which gives it an apparent soft excess. This
spectral shape can be produced by a power law varying in normalisation,
affected by an approximately constant (within each orbit) warm absorber, with
parameters similar to those found by Turner et al. for the warm-absorber layer
covering all spectral components in their scattering scenario. The total soft
excess in the average spectrum can therefore be produced by a combination of
constant warm absorption on the power law plus an additional less variable
component. On shorter time-scales, the rms spectrum hardens and this evolution
is well described by a change in power law slope, while the absorption
parameters remain the same. The frequency dependence of the rms spectra can be
interpreted as variability arising from propagating fluctuations through an
extended emitting region, whose emitted spectrum is a power law that hardens
towards the centre. This scenario reduces the short time-scale variability of
lower energy bands making the variable spectrum harder on shorter time-scales
and at the same time explains the hard lags found in these data by Markowitz et
al.


title:
Evidence of universality in the dynamical response of micromechanical
  diamond resonators at millikelvin temperatures

abstract:
  We report kelvin to millikelvin-temperature measurements of dissipation and
frequency shift in megahertz-range resonators fabricated from
ultra-nanocrystalline diamond. Frequency shift $\delta f/f_0$ and dissipation
$Q^{-1}$ demonstrate temperature dependence in the millikelvin range similar to
that predicted by the glass model of tunneling two level systems. The
logarithmic temperature dependence of $\delta f/ f_0$ is in good agreement with
such models, which include phonon relaxation and phonon resonant absorption.
Dissipation shows a weak power law, $Q^{-1}\propto T^{{1/3}}$, followed by
saturation at low temperature. A comparison of both the scaled frequency shift
and dissipation in equivalent micromechanical structures made of single-crystal
silicon and gallium arsenide indicates universality in the dynamical response.


title: A Perfect Metamaterial Absorber

abstract:
  We present the design for an absorbing metamaterial element with near unity
absorbance. Our structure consists of two metamaterial resonators that couple
separately to electric and magnetic fields so as to absorb all incident
radiation within a single unit cell layer. We fabricate, characterize, and
analyze a metamaterial absorber with a slightly lower predicted absorbance of
96%. This achieves a simulated full width at half maximum (FWHM) absorbance of
4% thus making this material ideal for imaging purposes. Unlike conventional
absorbers, our metamaterial consists solely of metallic elements. The
underlying substrate can therefore be chosen independently of the substrate's
absorptive qualities and optimized for other parameters of interest. We detail
the design and simulation process that led to our metamaterial, and our
experiments demonstrate a peak absorbance greater than 88% at 11.5 GHz.


title:
On an excitation mechanism for trapped inertial waves in discs around
  black holes

abstract:
  According to one model, high-frequency quasi-periodic oscillations (QPOs) can
be identified with inertial waves, trapped in the inner regions of accretion
discs around black holes due to relativistic effects. In order to be detected,
their amplitudes need to reach large enough values via some excitation
mechanism. We work out in detail a non-linear coupling mechanism suggested by
Kato, in which a global warping or eccentricity of the disc has a fundamental
role. These large-scale deformations combine with trapped modes to generate
`intermediate' waves of negative energy that are damped as they approach either
their corotation resonance or the inner edge of the disc, resulting in
amplification of the trapped waves. We determine the growth rates of the
inertial modes, as well as their dependence on the spin of the black hole and
the properties of the disc. Our results indicate that this coupling mechanism
can provide an efficient excitation of trapped inertial waves, provided the
global deformations reach the inner part of the disc with non-negligible
amplitude.


title: Self-Assembly of Discrete Self-Similar Fractals

abstract:
  In this paper, we search for {\it absolute} limitations of the Tile Assembly
Model (TAM), along with techniques to work around such limitations.
Specifically, we investigate the self-assembly of fractal shapes in the TAM. We
prove that no self-similar fractal fully weakly self-assembles at temperature
1, and that certain kinds of self-similar fractals do not strictly
self-assemble at any temperature. Additionally, we extend the fiber
construction from Lathrop et. al. (2007) to show that any self-similar fractal
belonging to a particular class of "nice" self-similar fractals has a fibered
version that strictly self-assembles in the TAM.


title: Cohomology and MP Spacetimes

abstract:
  This paper pursues a cohomological formulation for gravitation in which
gravity might be expressed in terms of a gravitational potential, much in the
spirit of electrodynamics. To this end we introduce a cochain complex
consisting of $(n+2)$-tensors, symmetric in two indices and skew-symmetric in
the remaining $n$ indices. The cohomology of the complex is shown to be
isomorphic to the \v{C}ech cohomology of an appropriately defined sheaf of
functions. Furthermore, it is demonstrated that in isotropic coordinates MP
spacetimes as well as the Schwarzschild black hole may be thusly represented,
that is, by means of the coboundary of a potential, as defined by the
differential operator of the complex.


title: Spitzer/MIPS Observations of Stars in the Beta Pictoris Moving Group

abstract:
  We present Multiband Imaging Photometer for Spitzer (MIPS) observations at 24
and 70 microns for 30 stars, and at 160 microns for a subset of 12 stars, in
the nearby (~30 pc), young (~12 Myr) Beta Pictoris Moving Group (BPMG). In
several cases, the new MIPS measurements resolve source confusion and
background contamination issues in the IRAS data for this sample. We find that
7 members have 24 micron excesses, implying a debris disk fraction of 23%, and
that at least 11 have 70 micron excesses (disk fraction of >=37%). Five disks
are detected at 160 microns (out of a biased sample of 12 stars observed), with
a range of 160/70 flux ratios. The disk fraction at 24 and 70 microns, and the
size of the excesses measured at each wavelength, are both consistent with an
"inside-out" infrared excess decrease with time, wherein the shorter-wavelength
excesses disappear before longer-wavelength excesses, and consistent with the
overall decrease of infrared excess frequency with stellar age, as seen in
Spitzer studies of other young stellar groups. Assuming that the infrared
excesses are entirely due to circumstellar disks, we characterize the disk
properties using simple models and fractional infrared luminosities. Optically
thick disks, seen in the younger TW Hya and eta Cha associations, are entirely
absent in the BPMG.
  Additional flux density measurements at 24 and 70 microns are reported for
nine Tucanae-Horologium Association member stars. Since this is <20% of the
association membership, limited analysis on the complete disk fraction of this
association is possible.


title:
A z=0.9 supercluster of X-ray luminous, optically-selected, massive
  galaxy clusters

abstract:
  We report the discovery of a compact supercluster structure at z=0.9. The
structure comprises three optically-selected clusters, all of which are
detected in X-rays and spectroscopically confirmed to lie at the same redshift.
The Chandra X-ray temperatures imply individual masses of ~5x10^14 Msun. The
X-ray masses are consistent with those inferred from optical--X-ray scaling
relations established at lower redshift. A strongly-lensed z~4 Lyman break
galaxy behind one of the clusters allows a strong-lensing mass to be estimated
for this cluster, which is in good agreement with the X-ray measurement.
Optical spectroscopy of this cluster gives a dynamical mass in good agreement
with the other independent mass estimates. The three components of the
RCS2319+00 supercluster are separated from their nearest neighbor by a mere <3
Mpc in the plane of the sky and likely <10 Mpc along the line-of-sight, and we
interpret this structure as the high-redshift antecedent of massive (~10^15
Msun) z~0.5 clusters such as MS0451.5-0305.


title:
Effects of correlated variability on information entropies in
  nonextensive systems

abstract:
  We have calculated the Tsallis entropy and Fisher information matrix
(entropy) of spatially-correlated nonextensive systems, by using an analytic
non-Gaussian distribution obtained by the maximum entropy method. Effects of
the correlated variability on the Fisher information matrix are shown to be
different from those on the Tsallis entropy. The Fisher information is
increased (decreased) by a positive (negative) correlation, whereas the Tsallis
entropy is decreased with increasing an absolute magnitude of the correlation
independently of its sign. This fact arises from the difference in their
characteristics. It implies from the Cram\'{e}r-Rao inequality that the
accuracy of unbiased estimate of fluctuation is improved by the negative
correlation. A critical comparison is made between the present study and
previous ones employing the Gaussian approximation for the correlated
variability due to multiplicative noise.


title: Non-volatile resistive switching in dielectric superconductor YBCO

abstract:
  We report on the reversible, nonvolatile and polarity dependent resistive
switching between superconductor and insulator states at the interfaces of a
Au/YBa$_2$Cu$_3$O$_{7-\delta}$ (YBCO)/Au system. We show that the
superconducting state of YBCO in regions near the electrodes can be reversibly
removed and restored. The possible origin of the switching effect may be the
migration of oxygen or metallic ions along the grain boundaries that control
the intergrain superconducting coupling. Four-wire bulk resistance measurements
reveal that the migration is not restricted to interfaces and produce
significant bulk effects.


title: Geodesic Equations on Diffeomorphism Groups

abstract:
  We bring together those systems of hydrodynamical type that can be written as
geodesic equations on diffeomorphism groups or on extensions of diffeomorphism
groups with right invariant $L^2$ or $H^1$ metrics. We present their formal
derivation starting from Euler's equation, the first order equation satisfied
by the right logarithmic derivative of a geodesic in Lie groups with right
invariant metrics.


title:
Differential X-ray Absorption and Dust-To-Gas Ratios of the Lens
  Galaxies SBS0909+523, FBQS0951+2635, and B1152+199

abstract:
  We analyzed Chandra observations of three gravitational lenses, SBS0909+523,
FBQS0951+2635, and B1152+199, to measure the differential X-ray absorption and
the dust-to-gas ratio of the lens galaxies. We successfully detected the
differential X-ray absorption in SBS0909+523 and B1152+199, and failed to
detect it in FBQS0951+2635 due to the dramatic drop in its flux from the ROSAT
epoch. These measurements significantly increase the sample of dust-to-gas
ratio measurements in cosmologically-distant, normal galaxies. Using the larger
sample, we obtain an average dust-to-gas ratio of E(B-V)/NH = (1.5\pm0.5)e-22
mag cm^2/atoms with an estimated intrinsic dispersion in the ratio of \simeq
40%. This average dust-to-gas ratio is consistent with our previous
measurement, and the average Galactic value of 1.7e-22 mag cm^2/atoms and the
estimated intrinsic dispersion is also consistent with the 30% observed in the
Galaxy. A larger sample size is still needed to improve the measurements and to
begin studying the evolution in the ratio with cosmic time. We also detected
X-ray microlensing in SBS0909+523 and significant X-ray variability in
FBQS0951+2635.


title:
XMM-Newton and Chandra Observations of Abell 2626: Interacting Radio
  Jets and Cooling Core with Jet Precession?

abstract:
  We present a detailed analysis of the XMM-Newton and Chandra observations of
Abell 2626 focused on the X-ray and radio interactions. Within the region of
the radio mini-halo (~70 kpc), there are substructures which are probably
produced by the central radio source and the cooling core. We find that there
is no obvious correlation between the radio bars and the X-ray image. The
morphology of Abell 2626 is more complex than that of the standard X-ray radio
bubbles seen in other cool core clusters. Thus, Abell 2626 provides a challenge
to models for the cooling flow -- radio source interaction. We identified two
soft X-ray (0.3--2 keV) peaks with the two central cD nuclei; one of them has
an associated hard X-ray (2--10 keV) point source. We suggest that the two
symmetric radio bars can be explained by two precessing jets ejected from an
AGN. Beyond the central regions, we find two extended X-ray sources to the
southwest and northeast of the cluster center which are apparently associated
with merging subclusters. The main Abell 2626 cluster and these two subclusters
are extended along the direction of the Perseus-Pegasus supercluster, and we
suggest that Abell 2626 is preferentially accreting subclusters and groups from
this large-scale structure filament. We also find an extended X-ray source
associated with the cluster S0 galaxy IC 5337; the morphology of this source
suggests that it is infalling from the west, and is not associated with the
southwest subcluster, as had been previously suggested.


title: On Bass' question for finitely generated algebras over large fields

abstract:
  Recently Cortinas-Haesemayer-Walker-Weibel gave affirmative answer to Bass'
1972 question on NK-groups for algebras of essentially finite type over large
fields of characteristic 0. Here we give an alternative short proof of this
result for algebras of finite type over such fields. Our approach is based on
classical techniques in higher K-theory of rings and a direct K_i-analogue of
an old observation of Murthy-Pedrini, dating back from the same 1972.


title: An open image theorem for a general class of abelian varieties

abstract:
  Let K be a number field and A/K be a polarized abelian variety with
absolutely trivial endomorphism ring. We show that if the Neron model of A/K
has at least one fiber with potential toric dimension one, then for almost all
rational primes ell, the Galois group of the splitting field of the ell-torsion
of A is GSp_{2g}(Z/ell).


title: A Combination of CDF and D0 Results on the Mass of the Top Quark

abstract:
  We summarize the top-quark mass measurements from the CDF and D0 experiments
at Fermilab. We combine published RunI (1992-1996) measurements with the most
recent RunII (2001-present) measurements using up to 2/fb of data. Taking
correlated uncertainties properly into account the resulting preliminary world
average mass of the top quark is Mt=172.6 +/- 0.8(sta) +/- 1.1(sys) GeV/c2,
assuming Gaussian systematic uncertainties. Adding in quadrature yields a total
uncertainty of 1.4 GeV/c2, corresponding to a relative precision of 0.8% on the
top-quark mass.


title: The Einstein equation and the energy density of the gravitational field

abstract:
  We give a derivation of the Einstein equation for gravity which employs a
definition of the local energy density of the gravitational field as a
symmetric second rank tensor whose value for each observer gives the trace of
the spatial part of the energy-stress tensor as seen by that observer. We give
a physical motivation for this choice using light pressure.


title: Ordinary differential equations in Banach spaces and the spectral flow

abstract:
  We give a definition of the spectral flow for continuous paths in the space
of bounded and essentially hyperbolic operators. We provide a homotopical
characterization of the spectral flow in terms of a group homomorphism of the
fundamental group of the projectors of the Calkin algebra with the infinite
cyclic group Z. This characterization helps us to exhibit examples of
infinite-dimensional Banach spaces where the spectral flow is not injective nor
surjective. We prove that a path with spectral flow equal to an integer m
exists if and only if there exists a projector P connected by an arc to a
projector Q such that Range(Q) has co-dimension m in Range(P). We prove that if
A is an asymptotically hyperbolic and essentially splitting path the
differential operator F(u) = du/dt - Au is Fredholm. Moreover if A is also
essentially hyperbolic the Fredholm index coincides with minus the spectral
flow of A.


title: Analytical Solution of the Voter Model on Disordered Networks

abstract:
  We present a mathematical description of the voter model dynamics on
heterogeneous networks. When the average degree of the graph is $\mu \leq 2$
the system reaches complete order exponentially fast. For $\mu >2$, a finite
system falls, before it fully orders, in a quasistationary state in which the
average density of active links (links between opposite-state nodes) in
surviving runs is constant and equal to $\frac{(\mu-2)}{3(\mu-1)}$, while an
infinite large system stays ad infinitum in a partially ordered stationary
active state. The mean life time of the quasistationary state is proportional
to the mean time to reach the fully ordered state $T$, which scales as $T \sim
\frac{(\mu-1) \mu^2 N}{(\mu-2) \mu_2}$, where $N$ is the number of nodes of the
network, and $\mu_2$ is the second moment of the degree distribution. We find
good agreement between these analytical results and numerical simulations on
random networks with various degree distributions.


title: Exact Spherically Symmetric Solutions in Massive Gravity

abstract:
  A phase of massive gravity free from pathologies can be obtained by coupling
the metric to an additional spin-two field. We study the gravitational field
produced by a static spherically symmetric body, by finding the exact solution
that generalizes the Schwarzschild metric to the case of massive gravity.
Besides the usual 1/r term, the main effects of the new spin-two field are a
shift of the total mass of the body and the presence of a new power-like term,
with sizes determined by the mass and the shape (the radius) of the source.
These modifications, being source dependent, give rise to a dynamical violation
of the Strong Equivalence Principle. Depending on the details of the coupling
of the new field, the power-like term may dominate at large distances or even
in the ultraviolet. The effect persists also when the dynamics of the extra
field is decoupled.


title: Generalized Gas Dynamic Equations for Microflows

abstract:
  n an early approach, we proposed a kinetic model with multiple translational
temperature [K. Xu, H. Liu and J. Jiang, Phys. Fluids {\bf 19}, 016101 (2007)],
to simulate non-equilibrium flows. In this paper, instead of using three
temperatures in $x-$, $y-$, and $z$-directions, we are going to further define
the translational temperature as a second-order symmetric tensor. Based on a
multiple stage BGK-type collision model and the Chapman-Enskog expansion, the
corresponding macroscopic gas dynamics equations in three-dimensional space
will be derived. The zeroth-order expansion gives the 10 moment closure
equations of Levermore [C.D. Levermore, J. Stat. Phys {\bf 83}, pp.1021
(1996)]. To the 1st-order expansion, the derived gas dynamic equations can be
considered as a regularization of Levermore's 10 moments equations. The new gas
dynamic equations have the same structure as the Navier-Stokes equations, but
the stress strain relationship in the Navier-Stokes equations is replaced by an
algebraic equation with temperature differences. At the same time, the heat
flux, which is absent in Levermore's 10 moment closure, is recovered. As a
result, both the viscous and the heat conduction terms are unified under a
single anisotropic temperature concept. In the continuum flow regime, the new
gas dynamic equations automatically recover the standard Navier-Stokes
equations. The current gas dynamic equations are natural extension of the
Navier-Stokes equations to the near continuum flow regime and can be used for
microflow computations. Two examples, the force-driven Poiseuille flow and the
Couette flow in the transition flow regime, are used to validate the model.
Both analytical and numerical results are encouraging.


title:
The effect of turbulent intermittency on the deflagration to detonation
  transition in SN Ia explosions

abstract:
  We examine the effects of turbulent intermittency on the deflagration to
detonation transition (DDT) in Type Ia supernovae. The Zel'dovich mechanism for
DDT requires the formation of a nearly isothermal region of mixed ash and fuel
that is larger than a critical size. We primarily consider the hypothesis by
Khokhlov et al. and Niemeyer and Woosley that the nearly isothermal, mixed
region is produced when the flame makes the transition to the distributed
regime. We use two models for the distribution of the turbulent velocity
fluctuations to estimate the probability as a function of the density in the
exploding white dwarf that a given region of critical size is in the
distributed regime due to strong local turbulent stretching of the flame
structure. We also estimate lower limits on the number of such regions as a
function of density. We find that the distributed regime, and hence perhaps
DDT, occurs in a local region of critical size at a density at least a factor
of 2-3 larger than predicted for mean conditions that neglect intermittency.
This factor brings the transition density to be much larger than the empirical
value from observations in most situations. We also consider the intermittency
effect on the more stringent conditions for DDT by Lisewski et al. and Woosley.
We find that a turbulent velocity of $10^8$ cm/s in a region of size $10^6$ cm,
required by Lisewski et al., is rare. We expect that intermittency gives a
weaker effect on the Woosley model with stronger criterion. The predicted
transition density from this criterion remains below $10^7$ g/cm$^3$ after
accounting for intermittency using our intermittency models.


title: VLBI Observations of SiO Masers around AH Scorpii

abstract:
  We report the first Very Long Baseline Array (VLBA) observations of 43 GHz
v=1, J=1-0 SiO masers in the circumstellar envelope of the M-type semi-regular
supergiant variable star AH Sco at 2 epochs separated by 12 days in March 2004.
These high-resolution VLBA images reveal that the distribution of SiO masers is
roughly on a persistent elliptical ring with the lengths of the major and minor
axes of about 18.5 and 15.8 mas, respectively, along a position angle of
150^{\circ}. And the red-shifted masers are found to be slightly closer to the
central star than the blue-shifted masers. The line-of-sight velocity structure
of the SiO masers shows that with respect to the systemic velocity of -6.8 km/s
the higher velocity features are closer to the star, which can be well
explained by the simple outflow or infall without rotation kinematics of SiO
masers around AH Sco. Study of proper motions of 59 matched features between
two epochs clearly indicates that the SiO maser shell around AH Sco was
undergoing an overall contraction to the star at a velocity of ~13 km/s at a
distance of 2.26 kpc to AH Sco. Our 3-dimensional maser kinematics model
further suggests that such an inward motion is very likely due to the
gravitation of the central star. The distance to AH Sco of 2.26$\pm$0.19 kpc
obtained from the 3-dimensional kinematics model fitting is consistent with its
kinematic distance of 2.0 kpc.


abstract:
  We treat two different topics on the log minimal model program, especially
for four-dimensional log canonical pairs. (a) Finite generation of the log
canonical ring in dimension four. (b) Abundance theorem for irregular
fourfolds. We obtain (a) as a direct consequence of the existence of
four-dimensional log minimal models by using Fukuda's theorem on the
four-dimensional log abundance conjecture. We can prove (b) only by using
traditional arguments. More precisely, we prove the abundance conjecture for
irregular $(n+1)$-folds on the assumption that the minimal model conjecture and
the abundance conjecture hold in dimension $\leq n$.


title: Extracting Boer-Mulders functions from $p+D$ Drell-Yan processes

abstract:
  We extract the Boer-Mulders functions of valence and sea quarks in the proton
from unpolarized $p+D$ Drell-Yan data measured by the FNAL E866 Collaboration.
Using these Boer-Mulders functions, we calculate the $\cos 2 \phi$ asymmetries
in unpolarized $pp$ Drell-Yan processes, both for the FNAL E866/NuSea and the
BNL Relativistic Heavy Ion Collider (RHIC) experiments. We also estimate the
$\cos 2 \phi$ asymmetries in the unpolarized $p\bar{p}$ Drell-Yan processes at
GSI.


title: Tensor Potential Description of Matter and Space, III. Gravitation

abstract:
  A non-geometrical (but with curved space) theory of gravitation characterized
by a vector field representing gravitational matter and a metric tensor
presenting space is presented. It is derived from a more general theory of
matter and space in which matter, described by a 3-index tensor potential, is
the prime entity and space is deducible and cannot exist without matter.
Philosophically, instead of geometrization of physics, the new theory advances
an idea of materialization of space. The equations that govern the theory of
gravitation are deduced from the equations of main theory and have a completely
different form as compared to Einstein's equations of General Relativity. An
exact solution for spherical symmetry of a point mass with a Schwarzschild type
metric tensor is obtained. The subject of gravitational waves and cosmology is
discussed. It is shown that gravitational waves can exist within linear
approximation. In this case, the metrics tensor varies only in time domain
while remaining Euclideanly flat in spatial components.


title:
Undecidability, entropy and information loss in computations of
  classical physical systems

abstract:
  We investigate how undecidability enters into computations of classical
physical systems and contributes to the increase of entropy and loss of
information. In actual computation with finite bit of information capacity we
accept inconsistency to avoid undecidability, which in turn affects entropy of
the system. We apply the Shannon entropy to the discretized Liouvillian system.
It is shown that for any finite bit of information capacity information is
always lost or the entropy always increases for the probability density
following Hamiltonian dynamics, both in time forward and time backward
direction, thus showing information theoretical version of second law of
thermodynamics. This is due to the finiteness of information capacity and
incompressibility of probability distribution in Liouville's equation.


title:
Use of self-correlation metrics for evaluation of information properties
  of binary strings

abstract:
  It is demonstrated that appropriately chosen computable metrics based on
self-correlation properties provide a degree of determinism sufficient to
segregate binary strings by level of information content.


title:
Optical surface waves over metallo-dielectric nanostructures: Sommerfeld
  integrals revisited

abstract:
  The asymptotic closed-form solution to the fundamental diffraction problem of
a linear horizontal Hertzian dipole radiating over the metallo-dielectric
interface is provided. For observation points just above the interface, we
confirm that the total surface near-field is the sum of two components: a
long-range surface plasmon polariton and a short-range radiative cylindrical
wave. The relative phases, amplitudes and damping functions of each component
are quantitatively elucidated through simple analytic expressions for the
entire range of propagation: near and asymptotic. Validation of the analytic
solution is performed by comparing the predictions of a dipolar model with
recently published data


title: Markov convexity and local rigidity of distorted metrics

abstract:
  It is shown that a Banach space admits an equivalent norm whose modulus of
uniform convexity has power-type p if and only if it is Markov p-convex.
Counterexamples are constructed to natural questions related to isomorphic
uniform convexity of metric spaces, showing in particular that tree metrics
fail to have the dichotomy property.


title:
Instability of square vortex lattice in d-wave superconductors is due to
  paramagnetic depairing

abstract:
  Effects of the paramagnetic depairing on structural transitions between
vortex lattices of a quasi two dimensional d-wave superconductor are examined.
It is found that, in systems with Maki parameter $\alpha_{\rm M}$ of order
unity, a square lattice induced by a d-wave pairing is destabilized with {\it
increasing} fields, and that a reentrant rhombic lattice occurs in higher
fields. Further, a weak Fermi surface anisotropy competitive with the pairing
symmetry induces another structural transition near $H_{c2}$. These results are
consistent with the structure changes of the vortex lattice in CeCoIn$_5$ in
${\bf H} \parallel c$ determined from recent neutron scattering data.


title:
Electrical transport in two dimensional electron and hole gas on
  Si(001)-(2x1) surface

abstract:
  Si(001)-(2$\times$1) surface is one of the many two-dimensional systems of
scientific and applied interest. It has two surface state bands (1)
anti-bonding pi* band, which has acceptor states and (2) bonding pi band, which
has donor states. Due to its asymmetric dimer reconstruction, transport through
this surface can be considered in two distinct directions, i.e. along and
perpendicular to the paired dimer rows. We calculate the zero bias conductance
of these surface states under flat-band condition and find that conduction
along the dimer row direction is significant due to strong orbital
hybridization. We also find that the surface conductance is orders of magnitude
higher than the bulk conductance close to the band edges for the unpassivated
surface at room temperature. Therefore, we propose that the transport through
these surface states may be the dominant conduction mechanisms in the recently
reported scanning tunneling microscopy of silicon nanomembranes. We also
calculate the zero bias conductance under flat-band condition for the weakly
interacting dangling bond wires along and perpendicular to the dimer row
direction and find similar trends. Extended Huckel theory is used for the
electronic structure calculations, which is benchmarked with the GW
approximation for Si and has been successfully applied to Si systems in past.


title: Projected shell model description for nuclear isomers

abstract:
  Nuclear isomer is a current research focus. To describe isomers, we present a
method based on the Projected Shell Model. Two kinds of isomers, K-isomers and
shape isomers, are discussed. For the K-isomer treatment, K-mixing is properly
implemented in the model. It is found however that in order to describe the
strong K-violation more efficiently, it may be necessary to further introduce
triaxiality into the shell model basis. To treat shape isomers, a scheme is
outlined which allows mixing those configurations belonging to different
shapes.


title: Neutrino Flavor Goniometry by High Energy Astrophysical Beams

abstract:
  It is shown how high energy neutrino beams from very distant sources can be
utilized to learn about many properties of neutrinos such as lifetimes, mass
hierarchy, mixing, minuscule pseudo-Dirac mass splittings; in addition, the
production mechanism of neutrinos in astrophysical sources can also be
elucidated.


title: Nonlocal orientation-dependent dynamics of molecular strands

abstract:
  Time-dependent Hamiltonian dynamics is derived for a curve (molecular strand)
in $\mathbb{R}^3$ that experiences both nonlocal (for example, electrostatic)
and elastic interactions. The dynamical equations in the symmetry-reduced
variables are written on the dual of the semidirect-product Lie algebra $so(3)
\circledS (\mathbb{R}^3\oplus\mathbb{R}^3\oplus\mathbb{R}^3\oplus\mathbb{R}^3)$
with three 2-cocycles. We also demonstrate that the nonlocal interaction
produces an interesting new term deriving from the coadjoint action of the Lie
group SO(3) on its Lie algebra $so(3)$. The new filament equations are written
in conservative form by using the corresponding coadjoint actions.


title: Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds

abstract:
  We derive the Free Differential Algebra for type IIA supergravity in 10
dimensions in the string frame. We provide all fermionic terms for all
curvatures. We derive the Green-Schwarz sigma model for type IIA superstring
based on the FDA construction and we check its invariance under kappa-symmetry.
Finally, we derive the pure spinor sigma model and we check the BRST
invariance. The present derivation has the advantage that the resulting sigma
model is constructed in terms of the superfields appearing in the FDA and
therefore one can directly relate a supergravity background with the
corresponding sigma model. The complete explicit form of the BRST
transformations is given and some new pure spinor constraints are obtained.
Finally, the explicit form of the action is given.


title:
Static and symmetric wormholes respecting energy conditions in
  Einstein-Gauss-Bonnet gravity

abstract:
  Properties of $n(\ge 5)$-dimensional static wormhole solutions are
investigated in Einstein-Gauss-Bonnet gravity with or without a cosmological
constant $\Lambda$. We assume that the spacetime has symmetries corresponding
to the isometries of an $(n-2)$-dimensional maximally symmetric space with the
sectional curvature $k=\pm 1, 0$. It is also assumed that the metric is at
least $C^{2}$ and the $(n-2)$-dimensional maximally symmetric subspace is
compact. Depending on the existence or absence of the general relativistic
limit $\alpha \to 0$, solutions are classified into general relativistic (GR)
and non-GR branches, respectively, where $\alpha$ is the Gauss-Bonnet coupling
constant. We show that a wormhole throat respecting the dominant energy
condition coincides with a branch surface in the GR branch, otherwise the null
energy condition is violated there. In the non-GR branch, it is shown that
there is no wormhole solution for $k\alpha \ge 0$. For the matter field with
zero tangential pressure, it is also shown in the non-GR branch with
$k\alpha<0$ and $\Lambda \le 0$ that the dominant energy condition holds at the
wormhole throat if the radius of the throat satisfies some inequality. In the
vacuum case, a fine-tuning of the coupling constants is shown to be necessary
and the radius of a wormhole throat is fixed. Explicit wormhole solutions
respecting the energy conditions in the whole spacetime are obtained in the
vacuum and dust cases with $k=-1$ and $\alpha>0$.


title: Optical Spectroscopy of Type Ia Supernovae

abstract:
  We present 432 low-dispersion optical spectra of 32 Type Ia supernovae (SNe
Ia) that also have well-calibrated light curves. The coverage ranges from 6
epochs to 36 epochs of spectroscopy. Most of the data were obtained with the
1.5m Tillinghast telescope at the F. L. Whipple Observatory with typical
wavelength coverage of 3700-7400A and a resolution of ~7A. The earliest spectra
are thirteen days before B-band maximum; two-thirds of the SNe were observed
before maximum brightness. Coverage for some SNe continues almost to the
nebular phase. The consistency of the method of observation and the technique
of reduction makes this an ideal data set for studying the spectroscopic
diversity of SNe Ia.


title: Return interval distribution of extreme events and long term memory

abstract:
  The distribution of recurrence times or return intervals between extreme
events is important to characterize and understand the behavior of physical
systems and phenomena in many disciplines. It is well known that many physical
processes in nature and society display long range correlations. Hence, in the
last few years, considerable research effort has been directed towards studying
the distribution of return intervals for long range correlated time series.
Based on numerical simulations, it was shown that the return interval
distributions are of stretched exponential type. In this paper, we obtain an
analytical expression for the distribution of return intervals in long range
correlated time series which holds good when the average return intervals are
large. We show that the distribution is actually a product of power law and a
stretched exponential form. We also discuss the regimes of validity and perform
detailed studies on how the return interval distribution depends on the
threshold used to define extreme events.


title:
Zero of the discrete beta function in SU(3) lattice gauge theory with
  color sextet fermions

abstract:
  We have carried out a Schrodinger functional (SF) calculation for the SU(3)
lattice gauge theory with two flavors of Wilson fermions in the sextet
representation of the gauge group. We find that the discrete beta function,
which governs the change in the running coupling under a discrete change of
spatial scale, changes sign when the SF renormalized coupling is in the
neighborhood of g^2=2.0. The simplest explanation is that the theory has an
infrared-attractive fixed point, but more complicated possibilities are allowed
by the data. While we compare rescalings by factors of 2 and 4/3, we work at a
single lattice spacing.


title:
Random fields of multivariate test statistics, with applications to
  shape analysis

abstract:
  Our data are random fields of multivariate Gaussian observations, and we fit
a multivariate linear model with common design matrix at each point. We are
interested in detecting those points where some of the coefficients are nonzero
using classical multivariate statistics evaluated at each point. The problem is
to find the $P$-value of the maximum of such a random field of test statistics.
We approximate this by the expected Euler characteristic of the excursion set.
Our main result is a very simple method for calculating this, which not only
gives us the previous result of Cao and Worsley [Ann. Statist. 27 (1999)
925--942] for Hotelling's $T^2$, but also random fields of Roy's maximum root,
maximum canonical correlations [Ann. Appl. Probab. 9 (1999) 1021--1057],
multilinear forms [Ann. Statist. 29 (2001) 328--371], $\bar{\chi}^2$ [Statist.
Probab. Lett 32 (1997) 367--376, Ann. Statist. 25 (1997) 2368--2387] and
$\chi^2$ scale space [Adv. in Appl. Probab. 33 (2001) 773--793]. The trick
involves approaching the problem from the point of view of Roy's
union-intersection principle. The results are applied to a problem in shape
analysis where we look for brain damage due to nonmissile trauma.


title: Rodeo: Sparse, greedy nonparametric regression

abstract:
  We present a greedy method for simultaneously performing local bandwidth
selection and variable selection in nonparametric regression. The method starts
with a local linear estimator with large bandwidths, and incrementally
decreases the bandwidth of variables for which the gradient of the estimator
with respect to bandwidth is large. The method--called rodeo (regularization of
derivative expectation operator)--conducts a sequence of hypothesis tests to
threshold derivatives, and is easy to implement. Under certain assumptions on
the regression function and sampling density, it is shown that the rodeo
applied to local linear smoothing avoids the curse of dimensionality, achieving
near optimal minimax rates of convergence in the number of relevant variables,
as if these variables were isolated in advance.


title: Spin-lattice model of Magneto-electric Transitions in RbCoBr$_3$

abstract:
  Extensive Monte Carlo simulations are performed to analyze a recent neutron
diffraction experiment on a distorted triangular lattice compound RbCoBr$_3$.
We consider a spin-lattice model, where both spin and lattice are Ising
variables. This model explains well successive magnetic and dielectric
transitions observed in the experiment. The exchange interaction parameters and
the spin-lattice coupling are estimated. It is found that the spin-lattice
coupling is important to explain the slow growth of a ferrimagnetic order. The
present simulations were made possible by developing a new Monte Carlo
algorithm, which accelerates slow Monte Carlo dynamics of quasi-one-dimensional
frustrated systems.


title:
Quantum Andreev Oscillations in normal-superconducting-normal
  nanostructures

abstract:
  We show that the voltage drop of specially prepared
normal-superconducting-normal nanostructures show quantum Andreev oscillations
as a function of magnetic field or input current. These oscillations are due to
the interference of the electron wave function between the normal parts of the
structure that act as reflective interfaces, i.e. our devices behave as a
Fabry-Perot interferometer for conduction electrons. The observed oscillations
and field periods are well explained by theory.


title:
Towards quantum frequency combs: boosting the generation of highly
  nonclassical light states by cavity-enhanced parametric down-conversion at
  high repetition rates

abstract:
  We demonstrate the generation of multi-photon quantum states of light by
cavity-enhanced parametric down-conversion in the high-repetition-rate pulsed
regime. An external enhancement cavity resonant with the spectral comb of modes
of a mode-locked pump laser provides a coherent build-up of the pump intensity
and greatly enhances the parametric gain without sacrificing its high
repetition rate and comb structure. We probe the parametric gain enhancement by
the conditional generation and tomographic analysis of two-photon Fock states.
Besides its potential impact to efficiently generate highly-nonclassical or
entangled multi-photon states in many existing experimental setups, this scheme
opens new and exciting perspectives towards the combination of quantum and comb
technologies for enhanced measurements and advanced quantum computation
protocols.


title:
Summary of Panel Discussion II: Theoretical Models and Observational
  Constraints in High-Mass Star Formation

abstract:
  This paper presents a summary of a panel discussion to more directly confront
theoretical models and observational constraints in massive star formation
research. The panel was moderated by Hans Zinnecker, and panel members included
Ian Bonnell, Chris McKee, Francesco Palla, Malcolm Walmsley, and Harold Yorke.
Additional ample discussion with the audience is recorded.


title:
The cosmological implications of a fundamental length: a DSR inspired
  de-Sitter spacetime

abstract:
  We study a de-Sitter model in the framework of a Deformed Special Relativity
(DSR) inspired structure. The effects of this framework appear as the existence
of a fundamental length which influences the behavior of the scale factor. We
show that such a deformation can either be used to control the unbounded growth
of the scale factor in the present accelerating phase or account for the
inflationary era in the early evolution of the universe.


title:
Disproof of the Continuum Hypothesis and Determination of the
  Cardinality of Continuum by Approximations of Sets

abstract:
  A set theory is developed based on the approximations of sets and denoted by
AS. In AS the set of all sets exists but the argument for Russell's and
Cantor's paradox fail. The Axioms of Separation, Replacement and Foundation are
not valid. All the other axioms of ZF are valid and all the basic sets, such as
complement, intersection and cartesian product, exist although complement is
not quite the same set as in ZF. The set of all sets can be equipped with the
topology of approximations (Ta). Every set is closed and every function is
continuous in Ta. This implies that the Continuum Hypothesis is false. The sets
containing a subset which is perfect in Ta are of the greatest cardinality. A
simple observation shows that the concept of well-ordering must be defined in a
slightly different way than in ZF. We prove that a set can be well-ordered if
and only if it has no perfect subset. Therefore the cardinalities of arbitrary
sets are always comparable without assuming the Axiom of Choice. The cardinals
following the smallest infinite cardinal w are 2w, 3w, ..., w^2, 2w^2, 3w^2,
>..., w^3.... each being of greater cardinality than the previous one, which is
not the case in ZF. Immediately after these cardinals does not follow w^w which
is not a well-orderable set but some well-ordered cardinal k, and this one is
followed by the cardinals 2k, 3k, ..., k^2, 2k^2, 3k^2, ..., k^3...., etc. The
greatest cardinal is P(w) and is not a well-orderable set. The cofinality of a
well-ordered set is either 2 or w. The only regular cardinals are 0, 1, 2, w
and P(w). All other cardinals are singular. The only strong limit cardinal is
w. The only inaccessible cardinal is P(w). Strongly inaccessible cardinals do
not exist.


title:
Citation Counting, Citation Ranking, and h-Index of Human-Computer
  Interaction Researchers: A Comparison between Scopus and Web of Science

abstract:
  This study examines the differences between Scopus and Web of Science in the
citation counting, citation ranking, and h-index of 22 top human-computer
interaction (HCI) researchers from EQUATOR--a large British Interdisciplinary
Research Collaboration project. Results indicate that Scopus provides
significantly more coverage of HCI literature than Web of Science, primarily
due to coverage of relevant ACM and IEEE peer-reviewed conference proceedings.
No significant differences exist between the two databases if citations in
journals only are compared. Although broader coverage of the literature does
not significantly alter the relative citation ranking of individual
researchers, Scopus helps distinguish between the researchers in a more nuanced
fashion than Web of Science in both citation counting and h-index. Scopus also
generates significantly different maps of citation networks of individual
scholars than those generated by Web of Science. The study also presents a
comparison of h-index scores based on Google Scholar with those based on the
union of Scopus and Web of Science. The study concludes that Scopus can be used
as a sole data source for citation-based research and evaluation in HCI,
especially if citations in conference proceedings are sought and that h scores
should be manually calculated instead of relying on system calculations.


title: Emergent general relativity in fuzzy spaces from tensor models

abstract:
  Tensor models can be regarded as theories of dynamical fuzzy spaces, and
provide background independent theories of space. Their classical solutions
correspond to classical background spaces, and the small fluctuations around
them can be regarded as fluctuations of fields on them. In this paper, I
numerically study a tensor model around its classical backgrounds of two-,
three- and four-dimensional fuzzy flat tori and show that the properties of
low-lying low-momentum modes are in clear agreement with general relativity.
Numerical analysis also suggests that the lowest-order effective action is
composed of curvature square terms, which is consistent with general relativity
in view of the form of the considered action of the tensor model.


title: Approximation and learning by greedy algorithms

abstract:
  We consider the problem of approximating a given element $f$ from a Hilbert
space $\mathcal{H}$ by means of greedy algorithms and the application of such
procedures to the regression problem in statistical learning theory. We improve
on the existing theory of convergence rates for both the orthogonal greedy
algorithm and the relaxed greedy algorithm, as well as for the forward stepwise
projection algorithm. For all these algorithms, we prove convergence results
for a variety of function classes and not simply those that are related to the
convex hull of the dictionary. We then show how these bounds for convergence
rates lead to a new theory for the performance of greedy algorithms in
learning. In particular, we build upon the results in [IEEE Trans. Inform.
Theory 42 (1996) 2118--2132] to construct learning algorithms based on greedy
approximations which are universally consistent and provide provable
convergence rates for large classes of functions. The use of greedy algorithms
in the context of learning is very appealing since it greatly reduces the
computational burden when compared with standard model selection using general
dictionaries.


title:
Relativistic Chiral Hartree-Fock description of nuclear matter with
  constraints from nucleon structure and confinement

abstract:
  We present a relativistic chiral effective theory for symmetric and
asymmetric nuclear matter taken in the Hartree-Fock scheme. The nuclear binding
is insured by a background chiral invariant scalar field associated with the
radial fluctuations of the chiral quark condensate. Nuclear matter saturation
is obtained once the scalar response of the nucleon generating three-body
repulsive forces is incorporated. For these parameters related to the scalar
sector and quark confinement mechanism inside the nucleon we make use of an
analysis of lattice results on the nucleon mass evolution with the quark mass.
The other parameters are constrained as most as possible by standard hadron and
nuclear phenomenology. Special attention is paid to the treatment of the
propagation of the scalar fluctuations. The rearrangement terms associated with
in-medium modified mass and coupling constants are explicitly included to
satisfy the Hugenholtz -Van Hove theorem. We point out the important role of
the tensor piece of the rho exchange Fock term to reproduce the asymmetry
energy of nuclear matter. We also discuss the isospin dependence of the Landau
nucleon effective mass.


title: Dirac Leptogenesis in extended nMSSM

abstract:
  We show that a version of the nearly Minimal Supersymmetric Standard Model
(nMSSM), extended only in the singlet sector to include the additional
superfields of right-handed neutrinos and very heavy Dirac particles conserving
$B-L$, admits a viable scenario for Dirac leptogenesis and naturally small
Dirac neutrino masses. The origin of the ($B-L$)-conserving high singlet
neutrino scale and the desired supersymmetry breaking terms is associated with
dynamical supersymmetry breaking in the hidden sector.


title: MOST photometry of the roAp star 10 Aql

abstract:
  Context: We present 31.2 days of nearly continuous MOST photometry of the
roAp star 10Aql. Aims:The goal was to provide an unambiguous frequency
identification for this little studied star, as well as to discuss the detected
frequencies in the context of magnetic models and analyze the influence of the
magnetic field on the pulsation. Methods: Using traditional Fourier analysis
techniques on three independent data reductions, intrinsic frequencies for the
star are identified. Theoretical non-adiabatic axisymmetric modes influenced by
a magnetic field having polar field strengths Bp = 0-5kG were computed to
compare the observations to theory. Results: The high-precision data allow us
to identify three definite intrinsic pulsation frequencies and two other
candidate frequencies with low S/N. Considering the observed spacings, only one
(50.95microHz) is consistent with the main sequence nature of roAp stars. The
comparison with theoretical models yields a best fit for a 1.95Msun model
having solar metallicity, suppressed envelope convection, and homogenous helium
abundance. Furthermore, our analysis confirms the suspected slow rotation of
the star and sets new lower limits to the rotation period (Prot>1 month) and
inclination (i>30\pm10deg.). Conclusions:The observed frequency spectrum is not
rich enough to unambiguously identify a model. On the other hand, the models
hardly represent roAp stars in detail due to the approximations needed to
describe the interactions of the magnetic field with stellar structure and
pulsation. Consequently, errors in the model frequencies needed for the fitting
procedure can only be estimated. Nevertheless, it is encouraging that models
which suppress convection and include solar metallicity, in agreement with
current concepts of roAp stars, fit the observations best.


title:
Structural stability of Fe5Si3 and Ni2Si studied by high-pressure x-ray
  diffraction and ab initio total-energy calculations

abstract:
  We performed high-pressure angle dispersive x-ray diffraction measurements on
Fe5Si3 and Ni2Si up to 75 GPa. Both materials were synthesized in bulk
quantities via a solid-state reaction. In the pressure range covered by the
experiments, no evidence of the occurrence of phase transitions was observed.
On top of that, Fe5Si3 was found to compress isotropically, whereas an
anisotropic compression was observed in Ni2Si. The linear incompressibility of
Ni2Si along the c-axis is similar in magnitude to the linear incompressibility
of diamond. This fact is related to the higher valence-electron charge density
of Ni2Si along the c-axis. The observed anisotropic compression of Ni2Si is
also related to the layered structure of Ni2Si where hexagonal layers of Ni2+
cations alternate with graphite-like layers formed by (NiSi)2- entities. The
experimental results are supported by ab initio total-energy calculations
carried out using density functional theory and the pseudopotential method. For
Fe5Si3, the calculations also predicted a phase transition at 283 GPa from the
hexagonal P63/mcm phase to the cubic structure adopted by Fe and Si in the
garnet Fe5Si3O12. The room-temperature equations of state for Fe5Si3 and Ni2Si
are also reported and a possible correlation between the bulk modulus of iron
silicides and the coordination number of their minority element is discussed.
Finally, we report novel descriptions of these structures, in particular of the
predicted high-pressure phase of Fe5Si3 (the cation subarray in the garnet
Fe5Si3O12), which can be derived from spinel Fe2SiO4 (Fe6Si3O12).


title:
Estimation of available bandwidth and measurement infrastructure for
  Russian segment of Internet

abstract:
  In paper the method for estimation of available bandwidth is supposed which
does not demand the advanced utilities. Our method is based on the measurement
of network delay $D$ for packets of different sizes $W$. The simple expression
for available bandwidth $B_{av} =(W_2-W_1)/(D_2-D_1)$ is substantiated. For the
experimental testing the measurement infrastructure for Russian segment of
Internet was installed in framework of RFBR grant 06-07-89074.


title:
Experimental generation of genuine four-partite entangled states with
  total three-party correlation for continuous variables

abstract:
  We experimentally prepare a new type of continuous variable genuine
four-partite entangled states, the quantum correlation property of which is
different from that of the four-mode GHZ and cluster states, and which has not
any qubit counterpart to be proposed at present. In the criterion inequalities
for the full inseparability of the genuine four-partite entangled states, the
amplitude and phase quadrature correlation variances totally consisting of
three-party combination from the four entangled modes are involved. The
measured correlation variances among the quadratures of the prepared entangled
states satisfy the sufficient requirements for the full inseparability. The
type of entangled states has especially potential application in quantum
information with continuous quantum variables.


title: Probing Clumpy Stellar Winds in SFXTs

abstract:
  Quantitative constraints on the wind clumping of massive stars can be
obtained from the study of the hard X-ray variability of SFXTs. In these
systems, a large fraction of the hard X-ray emission is emitted in the form of
flares with typical duration of 3 ksec, frequency of 7 days and luminosity of
$10^{36}$ ergs/s. Such flares are most probably emitted by the interaction of a
compact object orbiting at $\sim10$ R$_*$ with wind clumps ($10^{22-23}$ g).
The density ratio between the clumps and the inter-clump medium is $10^{2-4}$ .
The parameters of the clumps and of the inter-clump medium are in good
agreement with macro-clumping scenario and line-driven instability simulations.


title:
Odin observations of the Galactic centre in the 118-GHz band. Upper
  limit to the O2 abundance

abstract:
  The Odin satellite has been used to search for the 118.75-GHz line of
molecular oxygen (O2)in the Galactic centre. Odin observations were performed
towards the Sgr A* circumnuclear disk (CND), and the Sgr A +20 km/s and +50
km/s molecular clouds using the position-switching mode. Supplementary
ground-based observations were carried out in the 2-mm band using the ARO Kitt
Peak 12-m telescope to examine suspected SiC features. A strong emission line
was found at 118.27 GHz, attributable to the J=13-12 HC3N line. Upper limits
are presented for the 118.75-GHz O2 (1,1-1,0) ground transition line and for
the 118.11-GHz 3Pi2, J=3-2 ground state SiC line at the Galactic centre. Upper
limits are also presented for the 487-GHz O2 line in the Sgr A +50 km/s cloud
and for the 157-GHz, J=4-3, SiC line in the Sgr A +20 and +50 km/s clouds, as
well as the CND. The CH3OH line complex at 157.2 - 157.3 GHz has been detected
in the +20 and +50 km/s clouds but not towards Sgr A*/CND. A 3-sigma upper
limit for the fractional abundance ratio of [O2]/[H2] is found to be X(O2) <
1.2 x 10exp(-7) towards the Sgr A molecular belt region.


title: Diffusion or bounce back in relativistic heavy-ion collisions?

abstract:
  The time evolution of pseudorapidity distributions of produced charged
hadrons in d+Au collisions at sqrt(s_NN) = 200 GeV is investigated. Results of
a nonequilibrium-statistical Relativistic Diffusion Model with three sources
are compared with a macroscopic "bounce back" model that does not allow for
statistical equilibration at large times, but instead leads to motion reversal.
When compared to the data, the results of the diffusion approach are more
precise, thus emphasizing that the system is observed to be on its way to
thermal equilibrium.


title: Investigating a Hybrid Metaheuristic For Job Shop Rescheduling

abstract:
  Previous research has shown that artificial immune systems can be used to
produce robust schedules in a manufacturing environment. The main goal is to
develop building blocks (antibodies) of partial schedules that can be used to
construct backup solutions (antigens) when disturbances occur during
production. The building blocks are created based upon underpinning ideas from
artificial immune systems and evolved using a genetic algorithm (Phase I). Each
partial schedule (antibody) is assigned a fitness value and the best partial
schedules are selected to be converted into complete schedules (antigens). We
further investigate whether simulated annealing and the great deluge algorithm
can improve the results when hybridised with our artificial immune system
(Phase II). We use ten fixed solutions as our target and measure how well we
cover these specific scenarios.


title:
Origin of the large phonon band-gap in SrTiO3 and the vibrational
  signatures of ferroelectricity in ATiO3 perovskite: First principles lattice
  dynamics and inelastic neutron scattering of PbTiO3, BaTiO3 and SrTiO3

abstract:
  We report first principles density functional perturbation theory
calculations and inelastic neutron scattering measurements of the phonon
density of states, dispersion relations and electromechanical response of
PbTiO3, BaTiO3 and SrTiO3. The phonon density-of-states of the quantum
paraelectric SrTiO3 is found to be fundamentally distinct from that of
ferroelectric PbTiO3 and BaTiO3 with a large 70-90 meV phonon band-gap. The
phonon dispersion and electromechanical response of PbTiO3 reveal giant
anisotropies. The interplay of covalent bonding and ferroelectricity, strongly
modulates the electromechanical response and give rise to spectacular
signatures in the phonon spectra. The computed charge densities have been used
to study the bonding in these perovskites. Distinct bonding characteristics in
the ferroelectric and paraelectric phases give rise to spectacular vibrational
signatures. While a large phonon band-gap in ATiO3 perovskites seems a
characteristic of quantum paraelectrics, anisotropy of the phonon spectra
correlates well with ferroelectric strength. These correlations between the
phonon spectra and ferroelectricity, can guide future efforts at custom
designing still more effective piezoelectrics for applications. These results
suggest that vibrational spectroscopy can help design novel materials.


title:
Measurements of the Influence of Acceleration and Temperature of Bodies
  on their Weight

abstract:
  A brief review of experimental research of the influence of acceleration and
temperatures of test mass upon gravitation force, executed between the 1990s
and the beginning of 2000 is provided.Results of weighing a rotor of a
mechanical gyroscope with a horizontal axis, an anisotropic crystal with the
big difference of the speed of longitudinal acoustic waves, measurements of
temperature dependence of weight of metal bars of non-magnetic materials, and
also measurement of restitution coefficients at quasi-elastic impact of a steel
ball about a massive plate are given. A negative temperature dependence of the
weight of a brass core was measured. All observably experimental effects, have
probably a general physical reason connected with the weight change dependent
upon acceleration of a body or at thermal movement of its microparticles.


title: Renormalization of tensor self-energy in Resonance Chiral Theory

abstract:
  We study the problems related to the renormalization of propagators in
Resonance Chiral Theory, concentrating on the case of vector $1^{--}$
resonances in the antisymmetric tensor formalism. We have found that
renormalization of the divergences of the self-energy graphs needs new type of
kinetic counterterms with two derivatives which are not present in the original
leading order Lagrangian. The general form of the propagator for antisymmetric
tensor fields could then contain not only poles corresponding to the original
$1^{--}$ resonance states but also to the additional states with opposite
parity which decouple in the free field limit. In some cases, these dynamically
generated additional states might be negative norm ghosts or tachyons.


title: On the LMO conjecture

abstract:
  We give a proof of the LMO conjecture which say that for any simply connectd
simple Lie group $G$, the LMO invariant of rational homology 3-spheres recovers
the perturvative invariant $\tau^{PG}$. By Habiro-Le theorem, this implies that
the LMO invariant is the universal quantum invariant of integral homology
3-spheres.


title:
Degrees of Freedom of the MIMO Interference Channel with Cooperation and
  Cognition

abstract:
  In this paper, we explore the benefits, in the sense of total (sum rate)
degrees of freedom (DOF), of cooperation and cognitive message sharing for a
two-user multiple-input-multiple-output (MIMO) Gaussian interference channel
with $M_1$, $M_2$ antennas at transmitters and $N_1$, $N_2$ antennas at
receivers. For the case of cooperation (including cooperation at transmitters
only, at receivers only, and at transmitters as well as receivers), the DOF is
$\min \{M_1+M_2, N_1+N_2, \max(M_1, N_2)), \max(M_2, N_1)\}$, which is the same
as the DOF of the channel without cooperation. For the case of cognitive
message sharing, the DOF is $\min \{M_1+M_2, N_1+N_2, (1-1_{T2})((1-1_{R2})
\max(M_1, N_2) + 1_{R2} (M_1+N_2)), (1-1_{T1})((1-1_{R1}) \max(M_2, N_1) +
1_{R1} (M_2+N_1)) \}$ where $1_{Ti} = 1$ $(0)$ when transmitter $i$ is (is not)
a cognitive transmitter and $1_{Ri}$ is defined in the same fashion. Our
results show that while both techniques may increase the sum rate capacity of
the MIMO interference channel, only cognitive message sharing can increase the
DOF. We also find that it may be more beneficial for a user to have a cognitive
transmitter than to have a cognitive receiver.


title:
Phonon-assisted tunneling between singlet states in two-electron quantum
  dot molecules

abstract:
  We study phonon-assisted electron tunneling in semiconductor quantum dot
molecules. In particular, singlet-singlet relaxation in a two-electron doped
structure is considered. The influence of Coulomb interaction is discussed via
comparison with a single electron system. We find that the relaxation rate
reaches similar values in the two cases but the Coulomb interaction shifts the
maximum rates towards larger separations between the dots. The difference in
electron-phonon interaction between deformation potential and piezoelectric
coupling is investigated. We show that the phonon-induced tunneling between
two-electron singlet states is a fast process, taking place on the time scales
of the order of a few tens of picoseconds.


title:
Multiwavelength observations of the black hole candidate Swift
  J1753.5-0127

abstract:
  We present preliminary results from the analysis of simultaneous
multiwavelength observations of the black hole candidate Swift J1753.5-0127.
The source is still continuing its outburst started in May 2005, never leaving
the Low/Hard State. In the X-ray energy spectra we confirm evidence for a
thermal component at a very low luminosity possibly extending close to but not
at the innermost stable orbit. This is unusual for black hole candidates in the
Low/Hard State. Furthermore, we confirm that its radio emission is
significantly fainter than expected from the relation observed in other black
hole candidates between the observed radio/X-ray fluxes.


title: High breakdown point robust regression with censored data

abstract:
  In this paper, we propose a class of high breakdown point estimators for the
linear regression model when the response variable contains censored
observations. These estimators are robust against high-leverage outliers and
they generalize the LMS (least median of squares), S, MM and $\tau$-estimators
for linear regression. An important contribution of this paper is that we can
define consistent estimators using a bounded loss function (or equivalently, a
redescending score function). Since the calculation of these estimators can be
computationally costly, we propose an efficient algorithm to compute them. We
illustrate their use on an example and present simulation studies that show
that these estimators also have good finite sample properties.


title: Wave chaos in rapidly rotating stars

abstract:
  Effects of rapid stellar rotation on acoustic oscillation modes are poorly
understood. We study the dynamics of acoustic rays in rotating polytropic stars
and show using quantum chaos concepts that the eigenfrequency spectrum is a
superposition of regular frequency patterns and an irregular frequency subset
respectively associated with near-integrable and chaotic phase space regions.
This opens new perspectives for rapidly rotating star seismology and also
provides a new and potentially observable manifestation of wave chaos in a
large scale natural system.