title: Single Pion production from Nuclei

abstract:
  We have studied charged current one pion production induced by
$\nu_\mu(\bar\nu_\mu)$ from some nuclei. The calculations have been done for
the incoherent pion production processes from these nuclear targets in the
$\Delta$ dominance model and take into account the effect of Pauli blocking,
Fermi motion and renormalization of $\Delta$ properties in the nuclear medium.
The effect of final state interactions of pions has also been taken into
account. The numerical results have been compared with the recent results from
the MiniBooNE experiment for the charged current 1$\pi$ production, and also
with some of the older experiments in Freon and Freon-Propane from CERN.


title: Conformal Dirichlet-Neumann Maps and Poincar\'e-Einstein Manifolds

abstract:
  A conformal description of Poincare-Einstein manifolds is developed: these
structures are seen to be a special case of a natural weakening of the Einstein
condition termed an almost Einstein structure. This is used for two purposes:
to shed light on the relationship between the scattering construction of
Graham-Zworski and the higher order conformal Dirichlet-Neumann maps of Branson
and the author; to sketch a new construction of non-local (Dirichlet-to-Neumann
type) conformal operators between tensor bundles.


title:
Mode entanglement of an electron in one-dimensional determined and
  random potentials

abstract:
  By using the measure of concurrence, mode entanglement of an electron moving
in four kinds of one-dimensional determined and random potentials is studied
numerically. The extended and local- ized states can be distinguished by mode
entanglement. There are sharp transitions in concurrence at mobility edges. It
provides that the mode entanglement may be a new index for a metal-insulator
transition.


title:
Origin of the anomalous magnetic circular dichroism spectral shape in
  ferromagnetic (Ga,Mn)As: Impurity bands inside the band gap

abstract:
  The electronic structure of a prototype dilute magnetic semiconductor (DMS),
Ga1-xMnxAs, is studied by magnetic circular dichroism (MCD) spectroscopy. We
prove that the optical transitions originated from impurity bands cause the
strong positive MCD background. The MCD signal due to the E0 transition from
the valence band to the conduction band is negative indicating that the p-d
exchange interactions between the p-carriers and d-spin is antiferromagnetic.
The negative E0 MCD signal also indicates that the hole-doping of the valence
band is not so large as previously assumed. The impurity bands seem to play
important roles for the ferromagnetism of Ga1-xMnxAs.


title:
Phase space constraints and statistical jet studies in heavy-ion
  collisions

abstract:
  The effect of the correlation induced by global momentum conservation on the
two-particle distribution in nucleus-nucleus collisions is discussed, with a
focus on the generic case of collisions with a non-vanishing impact parameter.


title:
1-loop Corrections to the \rho Parameter in the Left-Right Twin Higgs
  Model

abstract:
  We implement a one-loop analysis of the $\rho$ parameter in the Left Right
Twin Higgs model, including the logarithmically enhanced contributions from
both fermion and scalar loops. Numerical results show that the one-loop
contributions are dominant over the tree level corrections in most regions of
parameter space. The experimentally allowed values of $\rho$-parameter divide
the allowed parameter space into two regions; less than $670 {\rm GeV}$ and
larger than $1100 {\rm GeV}$ roughly, for symmetry breaking scale $f$. Our
numerical analysis significantly reduces the parameter space which are
favorably accessible to the LHC.


title: Geometries with Killing Spinors and Supersymmetric AdS Solutions

abstract:
  The seven and nine dimensional geometries associated with certain classes of
supersymmetric $AdS_3$ and $AdS_2$ solutions of type IIB and D=11 supergravity,
respectively, have many similarities with Sasaki-Einstein geometry. We further
elucidate their properties and also generalise them to higher odd dimensions by
introducing a new class of complex geometries in $2n+2$ dimensions, specified
by a Riemannian metric, a scalar field and a closed three-form, which admit a
particular kind of Killing spinor. In particular, for $n\ge 3$, we show that
when the geometry in $2n+2$ dimensions is a cone we obtain a class of
geometries in $2n+1$ dimensions, specified by a Riemannian metric, a scalar
field and a closed two-form, which includes the seven and nine-dimensional
geometries mentioned above when $n=3,4$, respectively. We also consider various
ansatz for the geometries and construct infinite classes of explicit examples
for all $n$.


title:
Von Neumann entropy and localization-delocalization transition of
  electron states in quantum small-world networks

abstract:
  The von Neumann entropy for an electron in periodic, disorder and
quasiperiodic quantum small-world networks(QSWNs) are studied numerically. For
the disorder QSWNs, the derivative of the spectrum averaged von Neumann entropy
is maximal at a certain density of shortcut links p*, which can be as a
signature of the localization delocalization transition of electron states. The
transition point p* is agreement with that obtained by the level statistics
method. For the quasiperiodic QSWNs, it is found that there are two regions of
the potential parameter. The behaviors of electron states in different regions
are similar to that of periodic and disorder QSWNs, respectively.


title:
von Neumann entropy and localization properties of two interacting
  particles in one-dimensional nonuniform systems

abstract:
  With the help of von Neumann entropy, we study numerically the localization
properties of two interacting particles (TIP) with on-site interactions in
one-dimensional disordered, quasiperiodic, and slowly varying potential
systems, respectively. We find that for TIP in disordered and slowly varying
potential systems, the spectrum-averaged von Neumann entropy <E_v> first
increases with interaction U until its peak, then decreases as U gets larger.
For TIP in the Harper model[S. N. Evangelou and D. E. Katsanos, Phys. Rev. B
56, 12797(1997)], the functions of <E_v> versus U are different for particles
in extended and localized regimes. Our numerical results indicate that for
these two-particle systems, the von Neumann entropy is a suitable quantity to
characterize the localization properties of particle states. Moreover, our
studies propose a consistent interpretation of the discrepancies between
previous numerical results.


title: The Self-dual String Soliton in AdS_4\times S^7 spacetime

abstract:
  We construct self-dual string soliton solutions in $AdS_4\times
  S^7$ spacetime, starting from the covariant equations of motion of M5-brane.
We study the properties of the solutions and find that their action are
linearized, indicating the BPS nature of the solutions, and they have the same
electric and magnetic charge. The straight string soliton solution represents
the configuration of the membranes ending on M5-brane with a straight string
intersection, and it behaves like the spiky solution in flat spacetime. The
spherical string soliton solution, which could be related to the straight one
by a conformal transformation, represents the membranes ending on M5-brane with
a spherical intersection.


title:
Rotation of easy axis in training effect and recovery of exchange bias
  in ferromagnet/antiferromagnet bilayers

abstract:
  For ferromagnet/antiferromagnet bilayers, rotation of the easy axis has been
\textit{for the first time} observed during measurements of training effect and
the recovery of exchange bias using FeNi/FeMn system. These salient phenomena
strongly suggest irreversible motion of antiferromagnet spins during subsequent
measurements of hysteresis loops. It is found that the rotation of the easy
axis can partly account for the training effect and the recovery of the
exchange bias.


title:
The process of coevolutionary competitive exclusion: speciation,
  multifractality and power-laws in correlation

abstract:
  Competitive exclusion, a key principle of ecology, can be generalized to
understand many other complex systems. Individuals under surviving pressure
tend to be different from others, and correlations among them change
correspondingly to the updating of their states. We show with numerical
simulation that these aptitudes can contribute to group formation or speciation
in social fields. Moreover, they can lead to power-law topological correlations
of complex networks. By coupling updating states of nodes with variation of
connections in a network, structural properties with power-laws and functions
like multifractality, spontaneous ranking and evolutionary branching of node
states can emerge out simultaneously from the present self-organized model of
coevolutionary process.


title:
Sub-Poissonian laser emission from a single-electron permanently
  interacting with a single-mode cavity

abstract:
  Quiet (or sub-Poissonian) oscillators generate a number of dissipation events
whose variance is less than the mean. It was shown in 1984 by Golubev and
Sokolov that lasers driven by regular pumps are quiet in that sense. The
purpose of this paper is to show that, as long as the laser-detector system is
strictly stationary, quantization of the optical field is not required to
explain such phenomena. The theory presented here is semi-classical, yet exact.
Previous theories considering excited-state atoms regularly-injected in
resonators, on the other hand, do require in principle light quantization.
Specifically, we consider a laser involving a single electron permanently
interacting with the field and driven by a constant-potential battery, and
point out a similarity with reflex klystrons. The detected noise is found to be
only 7/8 of the shot-noise level. It is therefore sub-Poissonian. Our
calculations are related to resonance-fluorescence treatments but with
different physical interpretations.


title:
Wheeler's delayed-choice thought experiment: Experimental realization
  and theoretical analysis

abstract:
  Wheeler has strikingly illustrated the wave-particle duality by the
delayed-choice thought experiment, in which the configuration of a 2-path
interferometer is chosen after a single-photon light-pulsed has entered it. We
present a quantitative theoretical analysis of an experimental realization of
Wheeler's proposal.


title: BRST quantization of the pure spinor superstring

abstract:
  We present a derivation of the scattering amplitude prescription for the pure
spinor superstring from first principles, both in the minimal and non-minimal
formulations, and show that they are equivalent. This is achieved by first
coupling the worldsheet action to topological gravity and then proceeding to
BRST quantize this system. Our analysis includes the introduction of constant
ghosts and associated auxiliary fields needed to gauge fix symmetries
associated with zero modes. All fields introduced in the process of
quantization can be integrated out explicitly, resulting in the prescriptions
for computing scattering amplitudes that have appeared previously in the
literature. The zero mode insertions in the path integral follow from the
integration over the constant auxiliary fields.


title:
Heavy-flavor correlation measurements via electron azimuthal
  correlations with open charm mesons

abstract:
  We report first STAR measurement on two heavy-flavor particle correlations in
p+p collisions at RHIC. Heavy-flavor (charm and bottom) events are identified
and separated on a statistical basis by the azimuthal correlation of their
decay electrons and open charm mesons, which yield important information about
the underlying production mechanism. The azimuthal correlation distribution
exhibits a two-peak structure which can be attributed to B decays on the
near-side and predominantly charm pair production on the away-side. These
assumptions are supported by dedicated simulations using PYTHIA and MC@NLO
event generators. This novel correlation technique will allow comprehensive
energy-loss measurements of heavy quarks in heavy-ion collisions.


title: A Possibility of Search for New Physics at LHCb

abstract:
  It is interesting to search for new physics beyond the standard model at
LHCb. We suggest that weak decays of doubly charmed baryon such as
$\Xi_{cc}(3520)^+, \Xi_{cc}^{++}$ to charmless final states would be a possible
signal for new physics. In this work, we consider two models, i.e. the
unparticle and $Z'$ as examples to study such possibilities. We also discuss
the cases for $\Xi^0_{bb}, \Xi_{bb}^-$ which have not been observed yet, but
one can expect to find them when LHCb begins running. Our numerical results
show that these two models cannot result in sufficiently large decay widths,
therefore if such modes are observed at LHCb, there must be a new physics other
than the unparticle or $Z'$ models.


title: New Physics Effects in Long Baseline Experiments

abstract:
  We discuss the implications of new physics, which modifies the matter effect
in neutrino oscillations, to long baseline experiments, particularly the MINOS
experiment. An analytic formula in the presence of such a new physics
interaction is derived for $P(\nu_\mu\to\nu_e)$, which is exact in the limit
$\Delta m^2_{21}\to0$.


title:
Prospects to Measure the Higgs Boson Mass and Cross Section in ee-->ZH
  Using the Recoil Mass Spectrum

abstract:
  The process ee-->ZH allows to measure the Higgs boson in the recoil mass
spectrum against the Z boson without any assumptions on the Higgs boson decay.
We performed a full simulation and reconstruction of ee-->ZH using the MOKKA
and MARLIN packages describing the LDC detector. The Z is reconstructed from
its decays into electrons and muons. The mass of the Higgs boson is set to 120
GeV. Assuming a centre-of-mass energy of 250 GeV and an integrated luminosity
of 50/fb the Higgs boson mass and the Higgs-strahlung cross section can be
measured with a precision of 120 MeV and 9%, respectively.


title:
Dynamics of coreless vortices and rotation-induced dissipation peak in
  superfluid films on rotating porous substrates

abstract:
  We analyze dynamics of 3D coreless vortices in superfluid films covering
porous substrates. The 3D vortex dynamics is derived from the 2D dynamics of
the film. The motion of a 3D vortex is a sequence of jumps between neighboring
substrate cells, which can be described, nevertheless, in terms of
quasi-continuous motion with average vortex velocity. The vortex velocity is
derived from the dissociation rate of vortex-antivortex pairs in a 2D film,
which was developed in the past on the basis of the Kosterlitz-Thouless theory.
The theory explains the rotation-induced dissipation peak in torsion-oscillator
experiments on $^4$He films on rotating porous substrates and can be used in
the analysis of other phenomena related to vortex motion in films on porous
substrates.


title:
Efficient Skyline Querying with Variable User Preferences on Nominal
  Attributes

abstract:
  Current skyline evaluation techniques assume a fixed ordering on the
attributes. However, dynamic preferences on nominal attributes are more
realistic in known applications. In order to generate online response for any
such preference issued by a user, we propose two methods of different
characteristics. The first one is a semi-materialization method and the second
is an adaptive SFS method. Finally, we conduct experiments to show the
efficiency of our proposed algorithms.


title: Gravitational waves from the R^-1 high order theory of gravity

abstract:
  This paper is a review of a previous research on gravitational waves from the
R^-1 high order theory of gravity. It is shown that a massive scalar mode of
gravitational waves from the R^-1 theory generates a longitudinal force in
addition of the transverse one which is proper of the massless gravitational
waves and the response of an arm of an interferometer to this longitudinal
effect in the frame of a local observer is computed. Important conseguences
from a theoretical point of view could arise from this approach, because it
opens to the possibility of using the signals seen from interferometers to
understand which is the correct theory of gravitation.


title: The representation dimension of quantum complete intersections

abstract:
  We study the representation dimension of the class of algebras known as
quantum complete intersections. For such an algebra, we show that the
representation dimension is at most twice its codimension. Moreover, we show
that the representation dimension of a "homogeneous" quantum complete
intersection is strictly larger than its codimension.


title:
Localization of overlap modes and topological charge, vortices and
  monopoles in SU(3) LGT

abstract:
  We present selected recent results of the QCDSF collaboration on the
localization and dimensionality of low overlap eigenmodes and of the
topological density in the quenched SU(3) vacuum. We discuss the correlations
between the topological structure revealed by overlap fermions without
filtering and the confining monopole and P-vortex structure obtained in the
Indirect Maximal Center Gauge.


title:
On the conditional logistic estimator for repeated binary outcomes in
  two-arm experimental studies with non-compliance

abstract:
  The behavior of the conditional logistic estimator is analyzed under a causal
model for two-arm experimental studies with possible non-compliance in which
the effect of the treatment is measured by a binary response variable. We show
that, when non-compliance may only be observed in the treatment arm, the effect
(measured on the logit scale) of the treatment on compliers and that of the
control on non-compliers can be identified and consistently estimated under
mild conditions. The same does not happen for the effect of the control on
compliers. A simple correction of the conditional logistic estimator is then
proposed which allows us to considerably reduce its bias in estimating this
quantity and the causal effect of the treatment over control on compliers. A
two-step estimator results whose asymptotic properties are studied by
exploiting the general theory on maximum likelihood estimation of misspecified
models. Finite-sample properties of the estimator are studied by simulation and
the extension to the case of missing responses is outlined. The approach is
illustrated by an application to a dataset deriving from a study on the
efficacy of a training course on the practise of breast self examination.


title:
Bijective 1-cocycles and classification of 3-dimensional Left-symmetric
  Algebras

abstract:
  Left-symmetric algebras have close relations with many important fields in
mathematics and mathematical physics. Their classification is very complicated
due to the nonassociativity. In this paper, we re-study the correspondence
between left-symmetric algebras and the bijective 1-cocycles. Then a procedure
is provided to classify left-symmetric algebras in terms of classification of
equivalent classes of bijective 1-cocycles. As an example, the 3-dimensional
complex left-symmetric algebras are classified.


title: Solar System motions and the cosmological constant: a new approach

abstract:
  We use the corrections to the Newton-Einstein secular precessions of the
longitudes of perihelia of some planets (Mercury, Earth, Mars, Jupiter, Saturn)
of the Solar System, phenomenologically estimated as solve-for parameters by
the Russian astronomer E.V. Pitjeva in a global fit of almost one century of
data with the EPM2004 ephemerides, in order to put on the test the expression
for the perihelion precession induced by an uniform cosmological constant
Lambda in the framework of the Schwarzschild-de Sitter (or Kottler) space-time.
We compare such an extra-rate to the estimated corrections to the planetary
perihelion precessions by taking their ratio for different pairs of planets
instead of using one perihelion at a time for each planet separately, as done
so far in literature. The answer is neatly negative, even by further re-scaling
by a factor 10 (and even 100 for Saturn) the errors in the estimated
extra-precessions of the perihelia released by Pitjeva. Our conclusions hold
also for any other metric perturbation having the same dependence on the
spatial coordinates, as those induced by other general relativistic
cosmological scenarios and by many modified models of gravity. Currently
ongoing and planned interplanetary spacecraft-based missions should improve our
knowledge of the planets' orbits allowing for more stringent constraints.


title: Geometric Analogue of Holographic Reduced Representation

abstract:
  Holographic reduced representations (HRR) are based on superpositions of
convolution-bound $n$-tuples, but the $n$-tuples cannot be regarded as vectors
since the formalism is basis dependent. This is why HRR cannot be associated
with geometric structures. Replacing convolutions by geometric products one
arrives at reduced representations analogous to HRR but interpretable in terms
of geometry. Variable bindings occurring in both HRR and its geometric analogue
mathematically correspond to two different representations of
$Z_2\times...\times Z_2$ (the additive group of binary $n$-tuples with addition
modulo 2). As opposed to standard HRR, variable binding performed by means of
geometric product allows for computing exact inverses of all nonzero vectors, a
procedure even simpler than approximate inverses employed in HRR. The formal
structure of the new reduced representation is analogous to cartoon
computation, a geometric analogue of quantum computation.


title: Involutions on tori with codimension one fixed point set

abstract:
  The standard P. A. Smith theory of p-group actions on spheres, disks, and
euclidean spaces is extended to the case of p-group actions on tori (i.e.,
products of circles) and coupled with topological surgery theory to give a
complete topological classification, valid in all dimensions, of the locally
linear, orientation reversing, involutions on tori with fixed point set of
codimension one.


title:
High quality factor gigahertz frequencies in nanomechanical diamond
  resonators

abstract:
  We report actuation and detection of gigahertz-range resonance frequencies in
nano-crystalline diamond mechanical resonators. High order transverse vibration
modes are measured in coupled-beam resonators exhibiting frequencies up to
1.441 GHz. The cantilever-array design of the resonators translates the
gigahertz-range resonant motion of micron-long cantilever elements to the
displacement of the central supporting structure. Use of nano-crystalline
diamond further increases the frequency compared to single crystal silicon by a
factor of three. High clamping losses usually associated with micron-sized
straight beams are suppressed in the periodic geometry of our resonators,
allowing for high quality factors exceeding 20,000 above 500 MHz.


title:
Multivariate integration of functions depending explicitly on the
  minimum and the maximum of the variables

abstract:
  By using some basic calculus of multiple integration, we provide an
alternative expression of the integral $$ \int_{]a,b[^n} f(\mathbf{x},\min
x_i,\max x_i) d\mathbf{x}, $$ in which the minimum and the maximum are replaced
with two single variables. We demonstrate the usefulness of that expression in
the computation of orness and andness average values of certain aggregation
functions. By generalizing our result to Riemann-Stieltjes integrals, we also
provide a method for the calculation of certain expected values and
distribution functions.


title: Fundamental groups of topological stacks with slice property

abstract:
  The main result of the paper is a formula for the fundamental group of the
coarse moduli space of a topological stack. As an application, we find simple
general formulas for the fundamental group of the coarse quotient of a group
action on a topological space in terms of the fixed point data. The formulas
seem, surprisingly, to be new. In particular, we recover, and vastly
generalize, results of Armstrong, Bass, Higgins, Rhodes.


title:
Classification of complete Finsler manifolds through a second order
  differential equation

abstract:
  By using a certain second order differential equation, the notion of adapted
coordinates on Finsler manifolds is defined and some classifications of
complete Finsler manifolds are found. Some examples of Finsler metrics, with
positive constant sectional curvature, not necessarily of Randers type nor
projectively flat, are found. This work generalizes some results in Riemannian
geometry and open up, a vast area of research on Finsler geometry.


title:
Cosmic Ray Propagation: Nonlinear Diffusion Parallel and Perpendicular
  to Mean Magnetic Field

abstract:
  We consider the propagation of cosmic rays in turbulent magnetic fields. We
use the models of magnetohydrodynamic turbulence that were tested in numerical
simulations, in which the turbulence is injected on large scale and cascades to
small scales. Our attention is focused on the models of the strong turbulence,
but we also briefly discuss the effects that the weak turbulence and the slab
Alfv\'enic perturbations can have. The latter are likely to emerge as a result
of instabilities with in the cosmic ray fluid itself, e.g., beaming and
gyroresonance instabilities of cosmic rays. To describe the interaction of
cosmic rays with magnetic perturbations we develop a non-linear formalism that
extends the ordinary Quasi-Linear Theory (QLT) that is routinely used for the
purpose. This allows us to avoid the usual problem of 90 degree scattering and
enable our computation of the mean free path of cosmic rays. We apply the
formalism to the cosmic ray propagation in the galactic halo and in the Warm
Ionized medium (WIM). In addition, we address the issue of the transport of
cosmic rays perpendicular to the mean magnetic field and show that the issue of
cosmic ray subdiffusion (i.e., propagation with retracing the trajectories
backwards, which slows down the diffusion) is only important for restricted
cases when the ambient turbulence is far from what numerical simulations
suggest to us. As a result, this work provides formalism that can be applied
for calculating cosmic ray propagation in a wide variety of circumstances.


title:
Probing the Intrinsic Shape and Alignment of Dark Matter Haloes using
  SDSS Galaxy Groups

abstract:
  We study the three-dimensional and projected shapes of galaxy groups in the
Sloan Digital Sky Survey Data Release 4, and examine the alignment between the
orientation of the central galaxy and the spatial distribution of satellite
galaxies. The projected ellipticity of a group is measured using the moments of
the discrete distribution of its member galaxies. We infer the
three-dimensional and projected axis ratios of their dark matter haloes by
comparing the measured ellipticity distributions with those obtained from Monte
Carlo simulations of projected, triaxial dark matter haloes with different axis
ratios. We find that the halo shape has a strong dependence on the halo mass.
While the haloes of low-mass groups are nearly spherical, those of massive
groups tend to be prolate. For groups containing at least four members, the
statistical distribution of their measured ellipticities does not have a strong
dependence on the colors of their central galaxies. Our analysis further shows
that the average three-dimensional axis ratio for haloes with $12<{\rm
log}[M/(h^{-1}M_{\odot})]\leq15$ is about $1:0.46:0.46$, resulting in a
projected axis ratio of $\sim 0.77$. Our results for the alignment between the
orientation of the central galaxy of a group and the distribution of their
satellite galaxies are in broad agreement with those obtained by Yang et al.
The distribution of satellite galaxies preferentially aligns with the major
axis of the central galaxy, with a clear dependence on both halo mass and
galaxy colors. (abridged)


title:
The Effects of Fourth Generation on the double Lepton Polarization in B
  \rar K \ell^+ \ell^- decay

abstract:
  This study investigates the influence of the fourth generation quarks on the
double lepton polarizations in B \rar K \ell^+ \ell^- decay. Taking
|V_{t's}V_{t'b}|\sim \{0.01-0.03\} with phase about 100^\circ, which is
consistent with the b\to s\ell^+\ell^- rate and the B_s mixing parameter Delta
m_{B_s}$, we obtain that the double lepton(muon and tau) polarizations are
quite sensitive to the existence of fourth generation. It can serve as a good
tool to search for new physics effects, precisely, to indirect search for the
fourth generation quarks(t', b').


title: Generalized versus selected descriptions of quantum LC - circuits

abstract:
  Proofs are given that the quantum-mechanical description of the LC -circuit
with a time dependent external source can be readily established by starting
from a more general discretization rule of the electric charge. For this
purpose one resorts to an arbitrary but integer-dependent real function F(n)
instead of n. This results in a nontrivial generalization of the discrete time
dependent Schrodinger-equation established before via F(n)=n, as well as to
modified charge conservation laws. However, selected descriptions can also be
done by looking for a unique derivation of the effective inductance. This leads
to site independent inductances, but site dependent ones get implied by
accounting for periodic solutions to F(n) in terms of Jacobian elliptic
functions. Many-charge generalizations of quantum circuits, including the
modified continuity equation for total charge and current densities, have also
been discussed.


title: Absence of Wavepacket Diffusion in Disordered Nonlinear Systems

abstract:
  We study the spreading of an initially localized wavepacket in two nonlinear
chains (discrete nonlinear Schroedinger and quartic Klein-Gordon) with
disorder. Previous studies suggest that there are many initial conditions such
that the second moment of the norm and energy density distributions diverge as
a function of time. We find that the participation number of a wavepacket does
not diverge simultaneously. We prove this result analytically for
norm-conserving models and strong enough nonlinearity. After long times the
dynamical state consists of a distribution of nondecaying yet interacting
normal modes. The Fourier spectrum shows quasiperiodic dynamics. Assuming this
result holds for any initially localized wavepacket, a limit profile for the
norm/energy distribution with infinite second moment should exist in all cases
which rules out the possibility of slow energy diffusion (subdiffusion). This
limit profile could be a quasiperiodic solution (KAM torus).


title: The escape of Lyman photons from a young starburst: the case of Haro 11

abstract:
  (Abridged) Lyman-alpha (Lya) is a dominant probe of the galaxy population at
high-z. However, interpretation of data drawn from Lya alone hinges on the Lya
escape fraction which, due to the complex radiative transport, may vary
greatly. Here we map the Lya emission from local starburst Haro 11, a Lya
emitter and the only known candidate for low-z Lyman continuum emission (LyC).
To aid in the interpretation we perform a detailed multi-wavelength analysis
and model the stellar population, dust distribution, ionising photon budget,
and star-cluster population. We use archival X-ray observations to further
constrain properties of the starburst and estimate the HI column density.
  The Lya morphology is found to be strongly decoupled from stellar and nebular
(H-alpha) morphologies. General surface photometry finds only very slight
correlation between Lya and H-halpha, E(B-V), and stellar age. Only around the
central Lya-bright cluster do we find the Lya/Ha ratio at values predicted by
recombination theory. The total Lya escape fraction is found to be just 3%. We
compute that ~90% of the Lya photons that escape do so after undergoing
multiple resonance scattering events, masking their point of origin. This leads
to a largely symmetric distribution and, by increasing the distance that
photons must travel to escape, decreases the escape probability significantly.
While dust must ultimately be responsible for the destruction of Lya, it plays
little role in governing the observed morphology, which is regulated more by
ISM kinematics and geometry. We find tentative evidence for local Lya
equivalent width in the immediate vicinity of star-clusters being a function of
cluster age, consistent with hydrodynamic studies. We estimate the ionising
photon production and further constrain the escape fraction at 900 AA to <~9% .


title: Cup products in Hopf cyclic cohomology via cyclic modules I

abstract:
  This is the first one in a series of two papers on the continuation of our
study in cup products in Hopf cyclic cohomology. In this note we construct
cyclic cocycles of algebras out of Hopf cyclic cocycles of algebras and
coalgebras. In the next paper we consider producing Hopf cyclic cocycle from
"equivariant" Hopf cyclic cocycles. Our approach in both situations is based on
(co)cyclic modules and bi(co)cyclic modules together with Eilenberg-Zilber
theorem which is different from the old definition of cup products defined via
traces and cotraces on DG algebras and coalgebras.


title:
On the use of Neumann's principle for the calculation of the
  polarizability tensor of nanostructures

abstract:
  The polarizability measures how the system responds to an applied electrical
field. Computationally, there are many different ways to evaluate this
tensorial quantity, some of which rely on the explicit use of the external
perturbation and require several individual calculations to obtain the full
tensor. In this work, we present some considerations about symmetry that allow
us to take full advantage of Neumann's principle and decrease the number of
calculations required by these methods. We illustrate the approach with two
examples, the use of the symmetries in real space and in spin space in the
calculation of the electrical or the spin response.


title: On two problems concerning topological centers

abstract:
  Let G be an infinite discrete group and bG its Cech-Stone compactification.
Using the well known fact that a free ultrafilter on an infinite set is
nonmeasurable, we show that for each element p of the remainder bG G, left
multiplication L_p:bG \to bG is not Borel measurable. Next assume that G is
abelian. Let D \subset \ell^\infty(G)$ denote the subalgebra of distal
functions on G and let G^D denote the corresponding universal distal (right
topological group) compactification of G. Our second result is that the
topological center of G^D (i.e. the set of p in G^D for which L_p:G^D \to G^D
is a continuous map) is the same as the algebraic center and that for G=Z (the
group of integers) this center coincides with the canonical image of G in G^D.


title:
Entropy, dimension, and state mixing in a class of time-delayed
  dynamical systems

abstract:
  Time-delay systems are, in many ways, a natural set of dynamical systems for
natural scientists to study because they form an interface between abstract
mathematics and data. However, they are complicated because past states must be
sensibly incorporated into the dynamical system. The primary goal of this paper
is to begin to isolate and understand the effects of adding time-delay
coordinates to a dynamical system. The key results include (i) an analytical
understanding regarding extreme points of a time-delay dynamical system
framework including an invariance of entropy and the variance of the
Kaplan-Yorke formula with simple time re-scalings; (ii) computational results
from a time-delay mapping that forms a path between dynamical systems dependent
upon the most distant and the most recent past; (iii) the observation that
non-trivial mixing of past states can lead to high-dimensional, high-entropy
dynamics that are not easily reduced to low-dimensional dynamical systems; (iv)
the observed phase transition (bifurcation) between low-dimensional, reducible
dynamics and high or infinite-dimensional dynamics; and (v) a convergent
scaling of the distribution of Lyapunov exponents, suggesting that the infinite
limit of delay coordinates in systems such are the ones we study will result in
a continuous or (dense) point spectrum.


title: Branching integrals and Casselman phenomenon

abstract:
  Let $G$ be a real semisimple Lie group, $K$ its maximal complex subgroup, and
$G_C$ its complexification.
  It is known that all the $K$-finite matrix elements on $G$ admit holomorphic
continuation to branching functions on $G_C$ having singularities at the a
prescribed divisor. We propose a geometric explanation of this phenomenon. The
note also contsins a general survey of holomorphic continuations of
infinite-dimensional representations.


title: A Search for Single Radio Pulses and Bursts from Southern AXPs

abstract:
  We observed four southern AXPs in 1999 near 1400 MHz with the Parkes 64-m
radio telescope to search for periodic radio emission. No Fourier candidates
were discovered in the initial analysis, but the recent radio activity observed
for the AXP XTE J1810-197 has prompted us to revisit these data to search for
single radio pulses and bursts. The data were searched for both persistent and
bursting radio emission at a wide range of dispersion measures, but no
detections of either kind were made. These results further weaken the proposed
link between rotating radio transient sources and magnetars. However, continued
radio searches of these and other AXPs at different epochs are warranted given
the transient nature of the radio emission seen from XTE J1810-197, which until
very recently was the only known radio-emitting AXP.


title: On cross-ratio distortion and Schwarz derivative

abstract:
  We prove asymptotic estimates for the cross-ratio distortion with respect to
a smooth or holomorphic function in terms of its Schwarz derivative.


title: Span-program-based quantum algorithm for evaluating formulas

abstract:
  We give a quantum algorithm for evaluating formulas over an extended gate
set, including all two- and three-bit binary gates (e.g., NAND, 3-majority).
The algorithm is optimal on read-once formulas for which each gate's inputs are
balanced in a certain sense.
  The main new tool is a correspondence between a classical linear-algebraic
model of computation, "span programs," and weighted bipartite graphs. A span
program's evaluation corresponds to an eigenvalue-zero eigenvector of the
associated graph. A quantum computer can therefore evaluate the span program by
applying spectral estimation to the graph.
  For example, the classical complexity of evaluating the balanced ternary
majority formula is unknown, and the natural generalization of randomized
alpha-beta pruning is known to be suboptimal. In contrast, our algorithm
generalizes the optimal quantum AND-OR formula evaluation algorithm and is
optimal for evaluating the balanced ternary majority formula.


title:
An In-Class Discussion Activity on the Nature of Science and Intelligent
  Design

abstract:
  In this paper I describe an in-class discussion activity aimed at helping
elementary education majors in a physical science course think about issues
surrounding the inclusion of "Intelligent Design" in public school science
standards. I discuss the background instruction given, the content of the
activity and some results from its use in class.


title:
On the Whitham Equations for the Defocusing Complex Modified KdV
  Equation

abstract:
  We study the Whitham equations for the defocusing complex modified KdV (mKdV)
equation. These Whitham equations are quasilinear hyperbolic equations and they
describe the averaged dynamics of the rapid oscillations which appear in the
solution of the mKdV equation when the dispersive parameter is small. The
oscillations are referred to as dispersive shocks. The Whitham equations for
the mKdV equation are neither strictly hyperbolic nor genuinely nonlinear. We
are interested in the solutions of the Whitham equations when the initial
values are given by a step function. We also compare the results with those of
the defocusing nonlinear Schrodinger (NLS) equation. For the NLS equation, the
Whitham equations are strictly hyperbolic and genuinely nonlinear. We show that
the weak hyperbolicity of the mKdV-Whitham equations is responsible for an
additional structure in the dispersive shocks which has not been found in the
NLS case.


title: X-ray Emission from Magnetically Torqued Disks of Oe/Be Stars

abstract:
  We focus attention on the Oe/Be stars to test the concept that the disks of
these stars form by magnetic channeling of wind material toward the equator.
Calculations are made of the X-rays expected from the Magnetically Torqued Disk
(MTD) model for Be stars discussed by Cassinelli et al. (2002), by Maheswaran
(2003), and by Brown et al. (2004). The dominant parameters in the model are
the $\beta$ value of the velocity law, the rotation rate of the star, $S_o$,
and the ratio of the magnetic field energy density to the disk gravitational
energy density, $\gamma$.
  The model predictions are compared with the $ROSAT$ observations obtained for
an O9.5 star $\zeta$ Oph from \Berghofer et al. (1996) and for 7 Be stars from
Cohen et al. (1997). Extra considerations are also given here to the well
studied Oe star $\zeta$ Oph for which we have $Chandra$ observations of the
X-ray line profiles of the triad of He-like lines from the ion Mg XI.


title: The piston dispersive shock wave problem

abstract:
  The one-dimensional piston shock problem is a classical result of shock wave
theory. In this work, the analogous dispersive shock wave (DSW) problem for a
dispersive fluid described by the nonlinear Schr\"odinger equation is analyzed.
Asymptotic solutions are calculated using Whitham averaging theory for a
"piston" (step potential) moving with uniform speed into a dispersive fluid at
rest. These asymptotic results agree quantitatively with numerical simulations.
It is shown that the behavior of these solutions is quite different from their
classical counterparts. In particular, the shock structure depends on the speed
of the piston. These results have direct application to Bose-Einstein
condensates and the propagation of light through a nonlinear, defocusing
medium.


title:
The CO Molecular Outflows of IRAS 16293-2422 Probed by the Submillimeter
  Array

abstract:
  We have mapped the proto-binary source IRAS 16293-2422 in CO 2-1, 13CO 2-1,
and CO 3-2 with the Submillimeter Array (SMA). The maps with resolution of
1".5-5" reveal a single small scale (~3000 AU) bipolar molecular outflow along
the east-west direction. We found that the blueshifted emission of this small
scale outflow mainly extends to the east and the redshifted emission to the
west from the position of IRAS 16293A. A comparison with the morphology of the
large scale outflows previously observed by single-dish telescopes at
millimeter wavelengths suggests that the small scale outflow may be the inner
part of the large scale (~15000 AU) E-W outflow. On the other hand, there is no
clear counterpart of the large scale NE-SW outflow in our SMA maps. Comparing
analytical models to the data suggests that the morphology and kinematics of
the small scale outflow can be explained by a wide-angle wind with an
inclination angle of ~30-40 degrees with respect to the plane of the sky. The
high resolution CO maps show that there are two compact, bright spots in the
blueshifted velocity range. An LVG analysis shows that the one located 1" to
the east of source A is extremely dense, n(H_2)~10^7 cm^-3, and warm, T_kin >55
K. The other one located 1" southeast of source B has a higher temperature of
T_kin >65 K but slightly lower density of n(H_2)~10^6 cm^-3. It is likely that
these bright spots are associated with the hot core-like emission observed
toward IRAS 16293. Since both two bright spots are blueshifted from the
systemic velocity and are offset from the protostellar positions, they are
likely formed by shocks.


title:
Low energy particle physics and cosmology of nonlinear supersymmetric
  general relativity

abstract:
  We show a low energy physical meaning of nonlinear supersymmetric general
relativity (NLSUSY GR) in asymptotic Riemann-flat space-time by studying the
vacuum structure of N = 2 linear supersymmetry (LSUSY) invariant QED, which is
equivalent to N = 2 NLSUSY model, in two dimensional space-time. Two different
vacuum field configurations of SO(3,1) isometry describe the two different
physical vacua, i.e. one breaks spontaneously both U(1) and SUSY and the other
breaks spontaneously SUSY alone, where the latter elucidates the mysterious
relations between the cosmology and the (low energy) particle physics and gives
a new insight into the origin of mass.


title: Relaxation dynamics in quantum electron-glasses

abstract:
  It is experimentally shown that, depending on the carrier-concentration of
the system $n$, the dynamics of electron-glasses either \textit{slows down
}with increasing temperature or it is \textit{independent} of it. This also
correlates with the dependence of a typical relaxation time (or `viscosity') on
$n$. These linked features are argued to be consistent with a model for
dissipative tunneling. The slow relaxation of the electron glass may emerge
then as a manifestation of friction in a many-body quantum system. Our
considerations may also explain why strongly-localized granular metals are
likely to show electron-glass effects while semiconductors are not.


title: Coexistence of magnetism and superconductivity in a t-J bilayer

abstract:
  We investigate coexistence of antiferromagnetic and superconducting
correlations in bilayered materials using a two-dimensional t-J model with
couplings across the layers using variational Monte Carlo calculations. It is
found that the underdoped regime supports a coexisting phase, beyond which the
(d-wave) superconducting state becomes stable. Further, the effects of
interplanar coupling parameters on the magnetic and superconducting
correlations as a function of hole doping are studied in details. The magnetic
correlations are found to diminish with increasing interplanar hopping away
from half filling, while the exchange across the layers strengthens interplanar
antiferromagnetic correlations both at and away from half filling. The
superconducting correlations show more interesting features where larger
interplanar hopping considerably reduces planar correlations at optimal doping,
while an opposite behaviour, i.e. stabilisation of the superconducting state is
realised in the overdoped regime, with the interplanar exchange all the while
playing a dormant role.


title: Heavy Quarkonium States with the Holographic Potential

abstract:
  The quarkonium states in a quark-gluon plasma is examined with the heavy
quark potential implied by the holographic principle. Both the vanila
AdS-Schwarzschild metric and the one with an infrared cutoff are considered.
The dissociation temperature is calculated by solving the Schr\"o dinger
equation of the potential model. In the case of the AdS-Schwarzschild metric
with a IR cutoff, the dissociation temperatures for $J/\psi$ and $\Upsilon$
with the U-ansatz of the potential are found to agree with the lattice results
within a factor of two.


title:
Time-dependent AdS/CFT Duality II: Holographic Reconstruction of Bulk
  Metric and Possible Resolution of Singularity

abstract:
  We continue the studies of our earlier proposal for an AdS/CFT correspondence
for time-dependent supergravity backgrounds. We note that by performing a
suitable change of variables, the dual super Yang-Mills theory lives on a flat
base space, and the time-dependence of the supergravity background is entirely
encoded in the time-dependent couplings (gauge and axionic) and their
supersymmetric completion. This form of the SYM allows a detailed perturbative
analysis to be performed. In particular the one-loop Wilsonian effective action
of the boundary SYM theory is computed. By using the holographic UV/IR
relation, we propose a way to extract the bulk metric from the Wilsonian
effective action; and we find that the bulk metric of our supergravity
solutions can be reproduced precisely. While the bulk geometry can have various
singularities such as geodesic incompleteness, gauge theory quantum effects can
introduce higher derivative corrections in the effective action which can serve
as a way to resolve the singularities.


title: Deformations of Border Bases

abstract:
  Here we study the problem of generalizing one of the main tools of Groebner
basis theory, namely the flat deformation to the leading term ideal, to the
border basis setting. After showing that the straightforward approach based on
the deformation to the degree form ideal works only under additional
hypotheses, we introduce border basis schemes and universal border basis
families. With their help the problem can be rephrased as the search for a
certain rational curve on a border basis scheme. We construct the system of
generators of the vanishing ideal of the border basis scheme in different ways
and study the question of how to minimalize it. For homogeneous ideals, we also
introduce a homogeneous border basis scheme and prove that it is an affine
space in certain cases. In these cases it is then easy to write down the
desired deformations explicitly.


title:
Comment on: Stochastic local operations and classical communication
  Invariant and the residual entanglement for n qubits

abstract:
  In a recent paper [Phys. Rev. A 76, 032304(2007)], Li et al. proposed the
definition of the residual entanglement for n qubits by means of the Stochastic
local operations and classical communication. Here we argue that their
definition is not suitable for the case of odd-n qubits.


title:
Solutions of Adler's lattice equation associated with 2-cycles of the
  Backlund transformation

abstract:
  The BT of Adler's lattice equation is inherent in the equation itself by
virtue of its multidimensional consistency. We refer to a solution of the
equation that is related to itself by the composition of two BTs (with
different Backlund parameters) as a 2-cycle of the BT. In this article we will
show that such solutions are associated with a commuting one-parameter family
of rank-2 (i.e., 2-variable), 2-valued mappings. We will construct the explicit
solution of the mappings within this family and hence give the solutions of
Adler's equation that are 2-cycles of the BT.


title: New physics effect on the top-Yukawa coupling at ILC

abstract:
  Measurement of the top-Yukawa coupling is important to understand the fermion
mass generation mechanism and dynamics of electroweak symmetry breaking. We
discuss the top quark anomalous couplings which can be described by higher
dimensional operators. We investigate the process $e^-e^+ \to W^-W^+\nu\bar\nu
\to t \bar t \nu\bar\nu$ to study the contribution of the anomalous top-Higgs
coupling to the cross section. The effect of the dimension-six top-Higgs
interaction on the cross section can be a few hundred percent greater than the
SM prediction. Such a large effect can be measured at the International Linear
Collider.


title: Origins and breadth of the theory of higher homotopies

abstract:
  Higher homotopies are nowadays playing a prominent role in mathematics as
well as in certain branches of theoretical physics. We recall some of the
connections between the past and the present developments. Higher homotopies
were isolated within algebraic topology at least as far back as the 1940's.
Prompted by the failure of the Alexander-Whitney multiplication of cocycles to
be commutative, Steenrod developed certain operations which measure this
failure in a coherent manner. Dold and Lashof extended Milnor's classifying
space construction to associative H-spaces, and a careful examination of this
extension led Stasheff to the discovery of An-spaces and Ainfty-spaces as
notions which control the failure of associativity in a coherent way so that
the classifying space construction can still be pushed through. Algebraic
versions of higher homotopies have, as we all know, led Kontsevich eventually
to the proof of the formality conjecture. Homological perturbation theory
(HPT), in a simple form first isolated by Eilenberg and Mac Lane in the early
1950's, has nowadays become a standard tool to handle algebraic incarnations of
higher homotopies. A basic observation is that higher homotopy structures
behave much better relative to homotopy than strict structures, and HPT enables
one to exploit this observation in various concrete situations which, in
particular, leads to the effective calculation of various invariants which are
otherwise intractable. Higher homotopies abound but they are rarely recognized
explicitly and their significance is hardly understood; at times, their
appearance might at first glance even come as a surprise, for example in the
Kodaira-Spencer approach to deformations of complex manifolds or in the theory
of foliations.


title:
Fast projectile stopping power of two-dimensional strongly correlated
  electron liquids

abstract:
  We study the high-velocity-projectile limit of the polarizational
contribution to the in-plane stopping power in a strongly coupled
two-dimensional electron liquid. The dielectric formalism based on the method
of moments is employed. The frequency moments of the loss function are
calculated using the model Hamiltonian including the two-dimensional Coulomb
interaction potential proportional to the inverse power of k. We prove that the
leading term of the high-velocity asymptote, like in the random-phase
approximation, is not affected by correlations.


title: Search for GMSB NLSPs at LHC

abstract:
  NLSP - LSP decays could have dramatic influence on SUSY phenomenology at LHC.
NLSP could have significant lifetime and could be charged. In at least two
scenarios detectors must be used in a special way. They were not optimized for
detection of heavy (semi)stable charged particles and decaying in flight
(neutral or charged) NLSPs. During the last decade both ATLAS and CMS
collaboration have developed strategies which allow for effective search within
such scenarios.


title: Hopf algebras and characters of classical groups

abstract:
  Schur functions provide an integral basis of the ring of symmetric functions.
It is shown that this ring has a natural Hopf algebra structure by identifying
the appropriate product, coproduct, unit, counit and antipode, and their
properties. Characters of covariant tensor irreducible representations of the
classical groups GL(n), O(n) and Sp(n) are then expressed in terms of Schur
functions, and the Hopf algebra is exploited in the determination of
group-subgroup branching rules and the decomposition of tensor products. The
analysis is carried out in terms of n-independent universal characters. The
corresponding rings, CharGL, CharO and CharSp, of universal characters each
have their own natural Hopf algebra structure. The appropriate product,
coproduct, unit, counit and antipode are identified in each case.


title: Geometry of Multiplicative Preprojective Algebra

abstract:
  Crawley-Boevey and Shaw recently introduced a certain multiplicative analogue
of the deformed preprojective algebra, which they called the multiplicative
preprojective algebra. In this paper we study the moduli space of (semi)stable
representations of such an algebra (the multiplicative quiver variety), which
in fact has many similarities to the quiver variety. We show that there exists
a complex analytic isomorphism between the nilpotent subvariety of the quiver
variety and that of the multiplicative quiver variety (which can be extended to
a symplectomorphism between these tubular neighborhoods). We also show that
when the quiver is star-shaped, the multiplicative quiver variety parametrizes
Simpson's (poly)stable filtered local systems on a punctured Riemann sphere
with prescribed filtration type, weight and associated graded local system
around each puncture.


title: Memory Effects in the Standard Model for Glasses

abstract:
  The standard model of glasses is an ensemble of two-level systems interacting
with a thermal bath. The general origin of memory effects in this model is a
quasi-stationary but non-equilibrium state of a single two-level system, which
is realized due to a finite-rate cooling and very slow thermally activated
relaxation. We show that single particle memory effects, such as negativity of
the specific heat under reheating, vanish for a sufficiently disordered
ensemble. In contrast, a disordered ensemble displays a collective memory
effect [similar to that described by Kovacs for glassy polymers], where
non-equilibrium features of the ensemble are monitored via a macroscopic
observable. An experimental realization of the effect can be used to further
assess the consistency of the model.


title:
Groupoid Extensions of Mapping Class Representations for Bordered
  Surfaces

abstract:
  The mapping class group of a surface with one boundary component admits
numerous interesting representations including as a group of automorphisms of a
free group and as a group of symplectic transformations. Insofar as the mapping
class group can be identified with the fundamental group of Riemann's moduli
space, it is furthermore identified with a subgroup of the fundamental path
groupoid upon choosing a basepoint. A combinatorial model for this, the mapping
class groupoid, arises from the invariant cell decomposition of Teichm\"uller
space, whose fundamental path groupoid is called the Ptolemy groupoid. It is
natural to try to extend representations of the mapping class group to the
mapping class groupoid, i.e., construct a homomorphism from the mapping class
groupoid to the same target that extends the given representations arising from
various choices of basepoint.
  Among others, we extend both aforementioned representations to the groupoid
level in this sense, where the symplectic representation is lifted both
rationally and integrally. The techniques of proof include several algorithms
involving fatgraphs and chord diagrams. The former extension is given by
explicit formulae depending upon six essential cases, and the kernel and image
of the groupoid representation are computed. Furthermore, this provides
groupoid extensions of any representation of the mapping class group that
factors through its action on the fundamental group of the surface including,
for instance, the Magnus representation and representations on the moduli
spaces of flat connections.


title: Renormalization of Orientable Non-Commutative Complex $\Phi^6_3$ Model

abstract:
  In this paper we prove that the Grosse-Wulkenhaar type non-commutative
orientable complex scalar $\phi^6_3$ theory, with two non-commutative
coordinates and the third one commuting with the other two, is renormalizable
to all orders in perturbation theory. Our proof relies on a multiscale analysis
in x space.


title: A Supersymmetric U(1)' Model with Multiple Dark Matters

abstract:
  We consider a scenario where a supersymmetric model has multiple dark matter
particles. Adding a U(1)' gauge symmetry is a well-motivated extension of the
Minimal Supersymmetric Standard Model (MSSM). It can cure the problems of the
MSSM such as the mu-problem or the proton decay problem with high-dimensional
lepton number and baryon number violating operators which R-parity allows. An
extra parity (U-parity) may arise as a residual discrete symmetry after U(1)'
gauge symmetry is spontaneously broken. The Lightest U-parity Particle (LUP) is
stable under the new parity becoming a new dark matter candidate. Up to three
massive particles can be stable in the presence of the R-parity and the
U-parity. We numerically illustrate that multiple stable particles in our model
can satisfy both constraints from the relic density and the direct detection,
thus providing a specific scenario where a supersymmetric model has
well-motivated multiple dark matters consistent with experimental constraints.
The scenario provides new possibilities in the present and upcoming dark matter
searches in the direct detection and collider experiments.


title: Stellar explosions powered by the Blandford-Znajek mechanism

abstract:
  In this letter we briefly describe the first results of our numerical study
on the possibility of magnetic origin of relativistic jets of long duration
gamma ray bursters within the collapsar scenario. We track the collapse of
massive rotating stars onto a rotating central black hole using axisymmetric
general relativistic magnetohydrodynamic code that utilizes a realistic
equation of state of stellar matter, takes into account the cooling associated
with emission of neutrinos, and the energy losses due to dissociation of
nuclei. The neutrino heating is not included. We describe the solution for one
particular model where the progenitor star has magnetic field $B=10^{10}$G. The
solution exhibits strong explosion driven by the Poynting-dominated jets whose
power exceeds $2\times10^{51} {erg/s}$. The jets originate mainly from the
black hole and they are powered via the Blandford-Znajek mechanism. The full
details of the simulations together with the results of parameter study will be
presented elsewhere. A number of simulation movies can be downloaded from
http://www.maths.leeds.ac.uk/~serguei/research/movies/anim.html


title:
Detailed Studies of Pixelated CZT Detectors Grown with the Modified
  Horizontal Bridgman Method

abstract:
  The detector material Cadmium Zinc Telluride (CZT), known for its high
resolution over a broad energy range, is produced mainly by two methods: the
Modified High-Pressure Bridgman (MHB) and the High-Pressure Bridgman (HPB)
process. This study is based on MHB CZT substrates from the company Orbotech
Medical Solutions Ltd. with a detector size of 2.0x2.0x0.5 cm^3, 8x8 pixels and
a pitch of 2.46 mm. Former studies have emphasized only on the cathode material
showing that high-work-function improve the energy resolution at lower
energies. Therfore, we studied the influence of the anode material while
keeping the cathode material constant. We used four different materials:
Indium, Titanium, Chromium and Gold with work-functions between 4.1 eV and 5.1
eV. The low work-function materials Indium and Titanium achieved the best
performance with energy resolutions: 2.0 keV (at 59 keV) and 1.9 keV (at 122
keV) for Titanium; 2.1 keV (at 59 keV) and 2.9 keV (at 122 keV) for Indium.
These detectors are very competitive compared with the more expensive ones
based on HPB material if one takes the large pixel pitch of 2.46 mm into
account. We present a detailed comparison of our detector response with 3-D
simulations, from which we determined the mobility-lifetime-products for
electrons and holes. Finally, we evaluated the temperature dependency of the
detector performance and mobility-lifetime-products, which is important for
many applications. With decreasing temperature down to -30C the breakdown
voltage increases and the electron mobility-lifetime-product decreases by about
30% over a range from 20C to -30C. This causes the energy resolution to
deteriorate, but the concomitantly increasing breakdown voltage makes it
possible to increase the applied bias voltage and restore the full performance.


title: Pioneer Anomaly: Evaluating Newly Recovered Data

abstract:
  The Pioneer 10/11 spacecraft yielded the most precise navigation in deep
space to date. However, their radio-metric tracking data received from the
distances between 20--70 astronomical units from the Sun consistently indicated
the presence of a small, anomalous, Doppler frequency drift. The drift is a
blue frequency shift that can be interpreted as a sunward acceleration of a_P =
(8.74 +/- 1.33) x 10^(-10) m/s^2 for each particular spacecraft. This signal
has become known as the Pioneer anomaly; the nature of this anomaly remains
unexplained.
  New Pioneer 10 and 11 radio-metric Doppler data recently became available.
The much extended set of Pioneer Doppler data is the primary source for new
upcoming investigation of the anomaly. We also have almost entire records of
flight telemetry files received from the the Pioneers. Together with original
project documentation and newly developed software tools, this additional
information is now used to reconstruct the engineering history of both
spacecraft. To that extent, a thermal model of the Pioneer vehicles is being
developed to study possible contribution of thermal recoil force acting on the
two spacecraft. In addition, to improve the accuracy of orbital reconstruction,
we developed a new approach that uses actual flight telemetry data during
trajectory analysis of radio-metric Doppler files. The ultimate goal of these
efforts is to investigate possible contributions of the thermal recoil force to
the detected anomalous acceleration.


title: Non-Newtonian viscosity in magnetized plasma

abstract:
  The particle and momentum balance equations can be solved on concentric
circular flux surfaces to determine the effective viscous drag present in a
magnetized tokamak plasma in the low aspect ratio limit. An analysis is
developed utilizing the first-order Fourier expansion of the poloidal variation
of quantities on the flux surface akin to that by Stacey and Sigmar [Phys.
Fluids, 28, 9 (1985)]. Expressions to determine the poloidal variations of
density, poloidal velocity, toroidal velocity, radial electric field, poloidal
electric field, and other radial profiles are presented in a multi-species
setting. Using as input experimental data for the flux surface averaged
profiles of density, temperature, toroidal current, toroidal momentum
injection, and the poloidal and toroidal rotations of at least one species of
ion, one may solve the equations numerically for the remaining profiles. The
resultant effective viscosities are compared to those predicted by Stacey and
Sigmar and Shaing, et al., [Nuclear Fusion, 25, 4 (1985)]. A velocity
dependence of the effective viscosity is observed, indicating the presence of
non-Newtonian fluid behavior in magnetized plasma.


title: Catalog of dessins d'enfants with \le 4 edges

abstract:
  In this work all the dessins d'enfant with no more than 4 edges are listed
and their Belyi pairs are computed. In order to enumerate all dessins the
technique of matrix model computations was used. The total number of dessins is
134; among them 77 are spherical, 53 of genus 1 and 4 of genus 2. The orders of
automorphism groups of all the dessins are also found.
  Dessins are listed by the number of edges. Dessins with the same number of
edges are ordered lexicographically by their lists of 0-valencies. The
corresponding matrix model for any list of 0-valencies is given and computed.
Complex matrix models for dessins with 1 -- 3 edges are used. For the dessins
with 4 edges we use Hermitian matrix model, correlators for which are computed
in [1].


title:
Rigidity and persistence for ensuring shape maintenance of multiagent
  meta formations (ext'd version)

abstract:
  This paper treats the problem of the merging of formations, where the
underlying model of a formation is graphical. We first analyze the rigidity and
persistence of meta-formations, which are formations obtained by connecting
several rigid or persistent formations. Persistence is a generalization to
directed graphs of the undirected notion of rigidity. In the context of moving
autonomous agent formations, persistence characterizes the efficacy of a
directed structure of unilateral distance constraints seeking to preserve a
formation shape. We derive then, for agents evolving in a two- or
three-dimensional space, the conditions under which a set of persistent
formations can be merged into a persistent meta-formation, and give the minimal
number of interconnections needed for such a merging. We also give conditions
for a meta-formation obtained by merging several persistent formations to be
persistent.


title: Viscosity and confinement in magnetized plasma

abstract:
  An alternative to the Braginskii decomposition is proposed, one rooted in
treating the viscosity as a scalar quantity in a coordinate-free
representation. With appropriate application to the rate-of-shear tensor, one
may solve the neoclassical force density equations for its undetermined
velocity dependence, as well as the radial and poloidal profiles mentioned in
[R. W. Johnson, Phys. Plasmas, under review], using an improved poloidal
expansion. The pseudoplastic behavior of magnetized plasma is again obtained,
and the high viscosity solution is determined to be physical. A clear
relationship between confinement mode and viscosity is observed, indicating a
physical origin for transport barriers, pedestals, and other phenomena. The
gyroviscous contribution is found to be an effect on the order of one
one-thousandth of one percent of the dominant collisional viscosity.


title: Affine Geometry of Space Curves

abstract:
  This paper is devoted to the complete classification of space curves under
affine transformations in the view of Cartan's theorem. Spivak has introduced
the method but has not found the invariants. Furthermore, for the first time,
we propound a necessary and sufficient condition for the invariants. Then, we
study the shapes of space curves with constant curvatures in detail and suggest
their applications in physics, computer vision and image processing.


title: Affine Classification of n-Curves

abstract:
  Classification of curves up to affine transformation in a finite dimensional
space was studied by some different methods. In this paper, we achieve the
exact formulas of affine invariants via the equivalence problem and in the view
of Cartan's lemma and then, state a necessary and sufficient condition for
classification of n--Curves.


title: A State Sum Link Invariant of Regular Isotopy

abstract:
  This paper has been withdrawn because there is a fundamental error in the
computations; with the right computational scheme it seems to be just a version
of the Jones polynomial


title:
Reconstructing Images from Projections Using the Maximum-Entropy Method.
  Numerical Simulations of Low-Aspect Astrotomography

abstract:
  The reconstruction of images from a small number of projections using the
maximum-entropy method (MEM) with the Shannon entropy is considered. MEM
provides higher-quality image reconstruction for sources with extended
components than the Hogbom CLEAN method, which is also used in low-aspect
astrotomography. The quality of image reconstruction for sources with mixed
structure containing bright, compact features embedded in a comparatively weak,
extended base can be further improved using a difference-mapping method, which
requires a generalization of MEM for the reconstruction of sign-variable
functions.We draw conclusions based on the results of numerical simulations for
a number of model radio sources with various morphologies.


title: Lower bounds on the coefficients of Ehrhart polynomials

abstract:
  We present lower bounds for the coefficients of Ehrhart polynomials of convex
lattice polytopes in terms of their volume. Concerning the coefficients of the
Ehrhart series of a lattice polytope we show that Hibi's lower bound is not
true for lattice polytopes without interior lattice points. The counterexample
is based on a formula of the Ehrhart series of the join of two lattice
polytope. We also present a formula for calculating the Ehrhart series of
integral dilates of a polytope.


title: Generalized Chaplygin gas as geometrical dark energy

abstract:
  The generalized Chaplygin gas provides an interesting candidate for the
present accelerated expansion of the universe. We explore a geometrical
explanation for the generalized Chaplygin gas within the context of brane world
theories where matter fields are confined to the brane by means of the action
of a confining potential. We obtain the modified Friedmann equations,
deceleration parameter and age of the universe in this scenario and show that
they are consistent with the present observational data.


title: On the generalized Jacobi equation

abstract:
  The standard text-book Jacobi equation (equation of geodesic deviation)
arises by linearizing the geodesic equation around some chosen geodesic, where
the linearization is done with respect to the coordinates and the velocities.
The generalized Jacobi equation, introduced by Hodgkinson in 1972 and further
developed by Mashhoon and others, arises if the linearization is done only with
respect to the coordinates, but not with respect to the velocities. The
resulting equation has been studied by several authors in some detail for
timelike geodesics in a Lorentzian manifold. Here we begin by briefly
considering the generalized Jacobi equation on affine manifolds, without a
metric; then we specify to lightlike geodesics in a Lorentzian manifold. We
illustrate the latter case by considering particular lightlike geodesics (a) in
Schwarzschild spacetime and (b) in a plane-wave spacetime.


title:
An Imaging and Spectral Study of Ten X-Ray Filaments around the Galactic
  Center

abstract:
  We report the detection of 10 new X-ray filaments using the data from the
{\sl Chandra} X-ray satellite for the inner $6^{\prime}$ ($\sim 15$ parsec)
around the Galactic center (GC). All these X-ray filaments are characterized by
non-thermal energy spectra, and most of them have point-like features at their
heads that point inward. Fitted with the simple absorbed power-law model, the
measured X-ray flux from an individual filament in the 2-10 keV band is $\sim
2.8\times10^{-14}$ to $10^{-13}$ ergs cm$^{-2}$ s$^{-1}$ and the
absorption-corrected X-ray luminosity is $\sim 10^{32}-10^{33}$ ergs s$^{-1}$
at a presumed distance of 8 kpc to the GC. We speculate the origin(s) of these
filaments by morphologies and by comparing their X-ray images with the
corresponding radio and infrared images. On the basis of combined information
available, we suspect that these X-ray filaments might be pulsar wind nebulae
(PWNe) associated with pulsars of age $10^3 \sim 3\times 10^5$ yr. The fact
that most of the filament tails point outward may further suggest a high
velocity wind blowing away form the GC.


title:
Probing CP properties of the Higgs Boson via \boldmath{e^+e^-\to t
  \bar{t}\phi

abstract:
  One of the main endeavors at future high-energy colliders is the search for
the Higgs boson(s) and, once found, the probe of the fundamental properties. In
particular, the charge conjugation and parity (CP) quantum numbers have to be
determined. We show that these are unambiguously accessible at future $e^+e^-$
colliders through the measurement of the total cross section and the top
polarization in associated Higgs production with top quark pairs.


title: Search for Chargino-Neutralino Pair Production at CDF

abstract:
  We present the results of a search for associated production of the lightest
chargino and next-to-lightest neutralino using 1 fb$^{-1}$ of $\sqrt s$ = 1.96
TeV p$\rm \bar p$ data collected with the CDF detector at the Tevatron. We
combine the results of several multi-lepton final states to set upper limits on
the cross section times branching ratio for chargino-neutralino production as a
function of the chargino mass.


title:
Sets non-thin at \infty in \Bbb C ^m, and the growth of sequences of
  entire functions of genus zero

abstract:
  In this paper we define the notion of non-thin at $\infty$ as follows: Let
$E$ be a subset of $\Bbb C^m$. For any $R>0$ define $E_R=E\cap \{z\in \Bbb C ^m
:|z|\leq R\}$. We say that $E$ is non-thin at $\infty$ if
  \lim_{R\to\infty}V_{E_R}(z)=0
  for all $z\in \Bbb C^m$, where $V_E$ is the pluricomplex Green function of
$E$.
  This definition of non-thin at $\infty$ has good properties: If $E\subset
\Bbb C^m$ is non-thin at $\infty$ and $A$ is pluripolar then $E\backslash A$ is
non-thin at $\infty$, if $E\subset \Bbb C^m$ and $F\subset \Bbb C^n$ are closed
sets non-thin at $\infty$ then $E\times F\subset \Bbb C^m\times \Bbb C^n$ is
non-thin at $\infty$ (see Lemma \ref{Lem1}).
  Then we explore the properties of non-thin at $\infty$ sets and apply this to
extend the results in \cite{mul-yav} and \cite{trong-tuyen}.


title:
A Method of Experimentally Probing Transeverse Momentum Dependent
  Distributions

abstract:
  We calculate the double spin asymmetry A_LL(x, y, z, P_hT) of pi^0 production
with the spectator model and the model based on the factorization ansatz. We
also calculate the double spin asymmetry for the integration over the range of
(x,y,z) for the setups of the experiments of COMPASS, HERMES, and JLab. We find
that the results are characteristically dependent on the model used. Therefore,
we suggest that the measurements of the double spin asymmetry provides a method
of experimentally probing the transeverse momentum dependent distributions.


title: Higher Derivative Corrections in M-theory via Local Supersymmetry

abstract:
  We investigate higher derivative corrections in M-theory by applying
Noether's method. Cancellation of variations, which contain linear terms in
4-form field strength, under local supersymmetry is executed with the aid of
computer programming. Structure of $R^4$ terms is uniquely determined and
exactly matches with one-loop effective terms in type IIA superstring theory.


title: Linguistic Information Energy

abstract:
  In this treatment a text is considered to be a series of word impulses which
are read at a constant rate. The brain then assembles these units of
information into higher units of meaning. A classical systems approach is used
to model an initial part of this assembly process. The concepts of linguistic
system response, information energy, and ordering energy are defined and
analyzed. Finally, as a demonstration, information energy is used to estimate
the publication dates of a series of texts and the similarity of a set of
texts.


title: Band Gap of CsCl Film's as a Function of Lattice Constant

abstract:
  The manuscript reports experimental estimation of Cesium Chloride film's band
gap and compares it with theoretical simulations. The band gap shows a strong
dependence on it's lattice constant. Also, it is seen that the point defects
present in the films strongly affects it's optical properties.


title: Radiation Damage Study for PHENIX Silicon Stripixel Sensors

abstract:
  Silicon stripixel sensors which were developed at BNL will be installed as
part of the RHIC-PHENIX silicon vertex tracker (VTX). RHIC II operations
provide luminosity up to 2x10^32 /cm2/s so the silicon stripixel sensors will
be exposed to a significant amount of radiation. The most problematic radiation
effect for VTX is the increase of leakage current, which degrades the signal to
noise ratio and may saturate the readout electronics.
  We studied the radiation damage using the same diodes as CERN-RD48. First,
the proportionality between the irradiation fluence and the increase of leakage
current of CERN-RD48 was reproduced. Then beam experiments with stripixel
sensor were done in which leakage current was found to increase in the same way
as that of thereference diode.
  A stripixel sensor was also irradiated at the PHENIX interaction region (IR)
during the 2006 run. We found the same relation between the integrated
luminosity and determined fluence from increase of leakage current. The
expected fluence is 3-6x10^12 Neq/cm2 (1 MeV neutron equivalent) in RHIC II
operations for 10 years. Due to this expected exposure, setting the operating
temperature in PHENIX to T< 0 deg. C to suppress leakage current is needed to
avoid saturation of preamplifiers.


title:
The scalar unparticle effect on the charged lepton electric dipole
  moment

abstract:
  We study the charged lepton electric dipole moment which is induced by the
scalar unparticle mediation and we predict the appropriate range for the free
parameters appearing in the effective lagrangian which drives the
unparticle-standard model lepton interactions. We observe that the charged
lepton electric dipole moment is strongly sensitive to the scaling dimension
d_u of the unparticle and the new couplings in the effective interaction.
Furthermore, we see that the current experimental limits of charged lepton
electric dipole moments can ensure an appropriate range for these free
parameters.


title:
Adaptive Directional Subdivision Schemes and Shearlet Multiresolution
  Analysis

abstract:
  In this paper, we propose a solution for a fundamental problem in
computational harmonic analysis, namely, the construction of a multiresolution
analysis with directional components. We will do so by constructing subdivision
schemes which provide a means to incorporate directionality into the data and
thus the limit function. We develop a new type of non-stationary bivariate
subdivision schemes, which allow to adapt the subdivision process depending on
directionality constraints during its performance, and we derive a complete
characterization of those masks for which these adaptive directional
subdivision schemes converge. In addition, we present several numerical
examples to illustrate how this scheme works. Secondly, we describe a fast
decomposition associated with a sparse directional representation system for
two dimensional data, where we focus on the recently introduced sparse
directional representation system of shearlets. In fact, we show that the
introduced adaptive directional subdivision schemes can be used as a framework
for deriving a shearlet multiresolution analysis with finitely supported
filters, thereby leading to a fast shearlet decomposition.


title:
A New Class of Group Field Theories for 1st Order Discrete Quantum
  Gravity

abstract:
  Group Field Theories, a generalization of matrix models for 2d gravity,
represent a 2nd quantization of both loop quantum gravity and simplicial
quantum gravity. In this paper, we construct a new class of Group Field Theory
models, for any choice of spacetime dimension and signature, whose Feynman
amplitudes are given by path integrals for clearly identified discrete gravity
actions, in 1st order variables. In the 3-dimensional case, the corresponding
discrete action is that of 1st order Regge calculus for gravity (generalized to
include higher order corrections), while in higher dimensions, they correspond
to a discrete BF theory (again, generalized to higher order) with an imposed
orientation restriction on hinge volumes, similar to that characterizing
discrete gravity. The new models shed also light on the large distance or
semi-classical approximation of spin foam models. This new class of group field
theories may represent a concrete unifying framework for loop quantum gravity
and simplicial quantum gravity approaches.


title:
Global properties of Stochastic Loewner evolution driven by Levy
  processes

abstract:
  Standard Schramm-Loewner evolution (SLE) is driven by a continuous Brownian
motion which then produces a trace, a continuous fractal curve connecting the
singular points of the motion. If jumps are added to the driving function, the
trace branches. In a recent publication [1] we introduced a generalized SLE
driven by a superposition of a Brownian motion and a fractal set of jumps
(technically a stable L\'evy process). We then discussed the small-scale
properties of the resulting L\'evy-SLE growth process. Here we discuss the same
model, but focus on the global scaling behavior which ensues as time goes to
infinity. This limiting behavior is independent of the Brownian forcing and
depends upon only a single parameter, $\alpha$, which defines the shape of the
stable L\'evy distribution. We learn about this behavior by studying a
Fokker-Planck equation which gives the probability distribution for endpoints
of the trace as a function of time. As in the short-time case previously
studied, we observe that the properties of this growth process change
qualitatively and singularly at $\alpha =1$. We show both analytically and
numerically that the growth continues indefinitely in the vertical direction
for $\alpha > 1$, goes as $\log t$ for $\alpha = 1$, and saturates for $\alpha<
1$. The probability density has two different scales corresponding to
directions along and perpendicular to the boundary. In the former case, the
characteristic scale is $X(t) \sim t^{1/\alpha}$. In the latter case the scale
is $Y(t) \sim A + B t^{1-1/\alpha}$ for $\alpha \neq 1$, and $Y(t) \sim \ln t$
for $\alpha = 1$. Scaling functions for the probability density are given for
various limiting cases.


title: Multiplicative properties of Morin maps

abstract:
  In the first part of the paper we construct a ring structure on the rational
cobordism classes of Morin maps (i. e. smooth generic maps of corank 1). We
show that associating to a Morin map its singular strata defines a ring
homomorphism to $\Omega_* \otimes \Q$, the rational oriented cobordism ring.
This is proved by analyzing multiple-point sets of product immersion. Using
these homomorphisms we are able to identify the ring of Morin maps.
  In the second part of the paper we compute the oriented Thom polynomial of
the $\Sigma^2$ singularity type with $\Q$ coefficients. Then we provide a
product formula for the $\Sigma^2$ and the $\Sigma^{1,1}$ singularities.


title: Cuspidal representations of sl(n+1)

abstract:
  In this paper we study the subcategory of cuspidal modules of the category of
weight modules over the Lie algebra sl(n+1). Our main result is a complete
classification and explicit description of the indecomposable cuspidal modules.


title: On the dynamics of a twisted disc immersed in a radiation field

abstract:
  We study the dynamics of a twisted tilted disc under the influence of an
external radiation field. Assuming the effect of absorption and
reemission/scattering is that a pressure is applied to the disc surface where
the local optical depth is of order unity, we determine the response of the
vertical structure and the influence it has on the possibility of instability
to warping. We derive a pair of equations describing the evolution of a small
tilt as a function of radius in the small amplitude regime that applies to both
the diffusive and bending wave regimes. We also study the non linear vertical
response of the disc numerically using an analogous one dimensional slab model.
For global warps, we find that in order for the disc vertical structure to
respond as a quasi uniform shift or tilt, as has been assumed in previous work,
the product of the ratio of the external radiation momentum flux to the local
disc mid plane pressure, where it is absorbed, with the disc aspect ratio
should be significantly less than unity. Namely, this quantity should be of the
order of or smaller than the ratio of the disc gas density corresponding to the
layer intercepting radiation to the mid plane density, $\lambda \ll 1$. When
this condition is not satisfied the disc surface tends to adjust so that the
local normal becomes perpendicular to the radiation propagation direction. In
this case dynamical quantities determined by the disc twist and warp tend to
oscillate with a large characteristic period $T_{*}\sim \lambda^{-1}T_{K}$,
where $T_{K}$ is some 'typical' orbital period of a gas element in the disc.
The possibility of warping instability then becomes significantly reduced. In
addition, when the vertical response is non uniform, the possible production of
shocks may lead to an important dissipation mechanism.


title: Open charm in nuclear matter at finite temperature

abstract:
  We study the properties of open-charm mesons ($D$ and $\bar {D}$) in nuclear
matter at finite temperature within a self-consistent coupled-channel approach.
The meson-baryon interactions are adopted from a type of broken SU(4) s-wave
Tomozawa-Weinberg terms supplemented by an attractive scalar-isoscalar
attraction. The in-medium solution at finite temperature incorporates Pauli
blocking effects, mean-field binding on all the baryons involved, and $\pi$ and
open-charm meson self-energies in a self-consistent manner. In the $DN$ sector,
the $\Lambda_c$ and $\Sigma_c$ resonances, generated dynamically at 2593 MeV
and 2770 MeV in free space, remain close to their free-space position while
acquiring a remarkable width due to the thermal smearing of Pauli blocking as
well as from the nuclear matter density effects. As a result, the $D$ meson
spectral density shows a single pronounced peak for energies close to the $D$
meson free-space mass that broadens with increasing matter density with an
extended tail particularly towards lower energies. The $\bar D$ potential shows
a moderate repulsive behavior coming from the dominant I=1 contribution of the
$\bar D N$ interaction. The low-density theorem is, however, not a good
approximation for the $\bar D$ self-energy in spite of the absence of
resonance-hole contributions close to threshold in this case. We speculate the
possibility of $D$-mesic nuclei as well as discuss some consequences for the
$J/\Psi$ suppression in heavy-ion collisions, in particular for the future CBM
experiment at FAIR.


title: The Three Hat Problem

abstract:
  In this paper we study the Three Hat Problem which appeared in Puzzle Corner
of the Technology Review magazine. This puzzle gives a scenario in which three
players wearing hats are sitting together and each hat can be seen by everyone
except the player that is wearing that hat. Each player is told that all of the
hats contain a positive integer and that two of the integers add to the third.
In an ordered, turn-wise, modular fashion, each player truthfully states
whether or not he knows his integer. We give a strategy which allows for one of
the players to solve for his integer for all possible integer configurations of
the puzzle and prove it is the optimal such strategy.


title: Mean first passage time for a Markovian jumping process

abstract:
  We consider a Markovian jumping process with two absorbing barriers, for
which the waiting-time distribution involves a position-dependent coefficient.
We solve the Fokker-Planck equation with boundary conditions and calculate the
mean first passage time (MFPT) which appears always finite, also for the
subdiffusive case. Then, for the case of the jumping-size distribution in form
of the L\'evy distribution, we determine the probability density distributions
and MFPT by means of numerical simulations. Dependence of the results on
process parameters, as well as on the L\'evy distribution width, is discussed.


title:
Logarithmic tensor product theory for generalized modules for a
  conformal vertex algebra

abstract:
  We generalize the tensor product theory for modules for a vertex operator
algebra previously developed in a series of papers by the first two authors to
suitable module categories for a ''conformal vertex algebra'' or even more
generally, for a "M\"obius vertex algebra.'' We do not require the module
categories to be semisimple, and we accommodate modules with generalized weight
spaces. As in the earlier series of papers, our tensor product functors depend
on a complex variable, but in the present generality, the logarithm of the
complex variable is required; the general representation theory of vertex
operator algebras requires logarithmic structure. The first part of this work
is devoted to the study of logarithmic intertwining operators and their role in
the construction of the tensor product functors. The remainder of this work is
devoted to the construction of the appropriate natural associativity
isomorphisms between triple tensor product functors, to the proof of their
fundamental properties, and to the construction of the resulting braided tensor
category structure. This work includes the complete proofs in the present
generality and can be read independently of the earlier series of papers.


title: On the invariant thermal Proca - Klein - Gordon equation

abstract:
  In this paper we discuss the invariant thermal Proca - Klein - Gordon
equation (PKG). We argue that for the thermal PKG equation the absolute
velocity is equal v = alpha*c, where alpha is the fine stucture constant for
electromagnetic interaction.


title:
Evanescent states in 2D electron systems with spin-orbit interaction and
  spin-dependent transmission through a barrier

abstract:
  We find that the total spectrum of electron states in a bounded 2D electron
gas with spin-orbit interaction contains two types of evanescent states lying
in different energy ranges. The first-type states fill in a gap, which opens in
the band of propagating spin-splitted states if tangential momentum is nonzero.
They are described by a pure imaginary wavevector. The states of second type
lie in the forbidden band. They are described by a complex wavevector. These
states give rise to unusual features of the electron transmission through a
lateral potential barrier with spin-orbit interaction, such as an oscillatory
dependence of the tunneling coefficient on the barrier width and electron
energy. But of most interest is the spin polarization of an unpolarized
incident electron flow. Particularly, the transmitted electron current acquires
spin polarization even if the distribution function of incident electrons is
symmetric with respect to the transverse momentum. The polarization efficiency
is an oscillatory function of the barrier width. Spin filtering is most
effective, if the Fermi energy is close to the barrier height.


title: Another introduction to the geometry of metric spaces

abstract:
  Here Lipschitz conditions are used as a primary tool, for studying curves in
metric spaces in particular.


title: V1647 Orionis: One Year into Quiescence

abstract:
  We present new optical, near-IR, and mid-IR observations of the young
eruptive variable star V1647 Orionis that went into outburst in late 2004 for
approximately two years. Our observations were taken one year after the star
had faded to its pre-outburst optical brightness and show that V1647Ori is
still actively accreting circumstellar material. We compare and contrast these
data with existing observations of the source from both pre-outburst and
outburst phases. From near-IR spectroscopy we identify photospheric absorption
features for the first time that allow us to constrain the classification of
the young star itself. Our best fit spectral type is M0+-2 sub-classes with a
visual extinction of 19+-2 magnitudes and a K-band veiling of rK~1.5+-0.2. We
estimate that V1647Ori has a quiescent bolometric luminosity of ~9.5Lsun and a
mass accretion rate of ~1.10^-6Msun yr^-1. Our derived mass and age, from
comparison with evolutionary models, are 0.8+-0.2 Msun and ~0.5Myrs,
respectively. The presence towards the star of shock excited optical [S II] and
[Fe II] emission as well as near-IR H2 and [Fe II] emission perhaps suggests
that a new Herbig-Haro flow is becoming visible close to the star.


title:
Nanomorphology of the blue iridescent wings of a giant tropical wasp,
  "Megascolia procer javanensis" (Hymenoptera)

abstract:
  The wings of the giant wasp "Megascolia Procer Javanensis" are opaque and
iridescent. The origin of the blue-green iridescence is studied in detail,
using reflection spectroscopy, scanning electron microscopy and physical
modelling. It is shown that the structure responsible for the iridescence is a
single homogeneous transparent chitin layer covering the whole surface of each
wing. The opacity is essentially due to the presence of melanin in the
stratified medium which forms the mechanical core of the wing.


title:
Large-scale horizontal flows in the solar photosphere II: Long-term
  behaviour and magnetic activity response

abstract:
  Recently, we have developed a method useful for mapping large-scale
horizontal velocity fields in the solar photosphere. The method was developed,
tuned and calibrated using the synthetic data. Now, we applied the method to
the series of Michelson Doppler Imager (MDI) dopplergrams covering almost one
solar cycle in order to get the information about the long-term behaviour of
surface flows. We have found that our method clearly reproduces the widely
accepted properties of mean flow field components, such as torsional
oscillations and a pattern of meridional circulation. We also performed a
periodic analysis, however due to the data series length and large gaps we did
not detect any significant periods. The relation between the magnetic activity
influencing the mean zonal motion is studied. We found an evidence that the
emergence of compact magnetic regions locally accelerates the rotation of
supergranular pattern in their vicinity and that the presence of magnetic
fields generally decelerates the rotation in the equatorial region. Our results
show that active regions in the equatorial region emerge exhibiting a constant
velocity (faster by 60 +/- 9 m/s than Carrington rate) suggesting that they
emerge from the base of the surface radial shear at 0.95 R_sun, disconnect from
their magnetic roots, and slow down during their evolution.


title: Modeling Wildland Fire Propagation with Level Set Methods

abstract:
  Level set methods are versatile and extensible techniques for general front
tracking problems, including the practically important problem of predicting
the advance of a firefront across expanses of surface vegetation. Given a rule,
empirical or otherwise, to specify the rate of advance of an infinitesimal
segment of firefront arc normal to itself (i.e., given the firespread rate as a
function of known local parameters relating to topography, vegetation, and
meteorology), level set methods harness the well developed mathematical
machinery of hyperbolic conservation laws on Eulerian grids to evolve the
position of the front in time. Topological challenges associated with the
swallowing of islands and the merger of fronts are tractable.
  The principal goals of this paper are to: collect key results from the two
largely distinct scientific literatures of level sets and firespread;
demonstrate the practical value of level set methods to wildland fire modeling
through numerical experiments; probe and address current limitations; and
propose future directions in the simulation of, and the development of
decision-aiding tools to assess countermeasure options for, wildland fires. In
addition, we introduce a freely available two-dimensional level set code used
to produce the numerical results of this paper and designed to be extensible to
more complicated configurations.