title: Quantum geometry of 3-dimensional lattices

abstract:
  We study geometric consistency relations between angles on 3-dimensional (3D)
circular quadrilateral lattices -- lattices whose faces are planar
quadrilaterals inscribable into a circle. We show that these relations generate
canonical transformations of a remarkable ``ultra-local'' Poisson bracket
algebra defined on discrete 2D surfaces consisting of circular quadrilaterals.
Quantization of this structure leads to new solutions of the tetrahedron
equation (the 3D analog of the Yang-Baxter equation). These solutions generate
an infinite number of non-trivial solutions of the Yang-Baxter equation and
also define integrable 3D models of statistical mechanics and quantum field
theory. The latter can be thought of as describing quantum fluctuations of
lattice geometry. The classical geometry of the 3D circular lattices arises as
a stationary configuration giving the leading contribution to the partition
function in the quasi-classical limit.


title: Sums of primes and squares of primes in short intervals

abstract:
  Let $\mathbf H_2$ denote the set of even integers $n \not\equiv 1 \pmod 3$.
We prove that when $H \ge X^{0.33}$, almost all integers $n \in \mathbf H_2$,
$X < n \le X + H$ can be represented as the sum of a prime and the square of a
prime. We also prove a similar result for sums of three squares of primes.


title: Two-Level Concept-Oriented Data Model

abstract:
  In this paper we describe a new approach to data modelling called the
concept-oriented model (CoM). This model is based on the formalism of nested
ordered sets which uses inclusion relation to produce hierarchical structure of
sets and ordering relation to produce multi-dimensional structure among its
elements. Nested ordered set is defined as an ordered set where an each element
can be itself an ordered set. Ordering relation in CoM is used to define data
semantics and operations with data such as projection and de-projection. This
data model can be applied to very different problems and the paper describes
some its uses such grouping with aggregation and multi-dimensional analysis.


title: Exact diagonalisation of 1-d interacting spinless Fermions

abstract:
  We acquire a method of constructing an infinite set of exact eigenfunctions
of 1--d interacting spinless Fermionic systems. Creation and annihilation
operators for the interacting system are found and thereby the many--body
Hamiltonian is diagonalised. The formalism is applied to several examples. One
example is the theory of Jack polynomials. For the Calogero-Moser-Sutherland
Hamiltonian a direct proof is given that the asymptotic Bethe Ansatz is
correct.


title: An Approach to Programming Based on Concepts

abstract:
  In this paper we describe a new approach to programming which generalizes
object-oriented programming. It is based on using a new programming construct,
called concept, which generalizes classes. Concept is defined as a pair of two
classes: one reference class and one object class. Each concept has a parent
concept which is specified using inclusion relation generalizing inheritance.
We describe several important mechanisms such as reference resolution, context
stack, dual methods and life-cycle management, inheritance and polymorphism.
This approach to programming is positioned as a new programming paradigm and
therefore we formulate its main principles and rules.


title: Observational Evidence for Tidal Interaction in Close Binary Systems

abstract:
  This paper reviews the rich corpus of observational evidence for tidal
effects in short-period binaries. We review the evidence for ellipsoidal
variability and for the observational manifestation of apsidal motion in
eclipsing binaries. Among the long-term effects, circularization was studied
the most, and a transition period between circular and eccentric orbits has
been derived for eight coeval samples of binaries. As binaries are supposed to
reach synchronization before circularization, one can expect finding eccentric
binaries in pseudo-synchronization state, the evidence for which is reviewed.
The paper reviews the Rossiter-McLaughlin effect and its potential to study
spin-orbit alignment. We discuss the tidal interaction in close binaries that
are orbited by a third distant companion, and review the effect of pumping the
binary eccentricity by the third star. We then discuss the idea that the tidal
interaction induced by the eccentricity modulation can shrink the binary
separation.
  The paper discusses the extrasolar planets and the observational evidence for
tidal interaction with their parent stars which can induce radial drift of
short-period planets and circularization of planetary orbits. The paper reviews
the revolution of the study of binaries that is currently taking place, driven
by large-scaled photometric surveys that are detecting many thousands of new
binaries and tens of extrasolar planets. In particular, we review several
studies that have been used already thousands of lightcurves of eclipsing
binaries to study tidal circularization of early-type stars in the LMC.


title:
Concepts and their Use for Modelling Objects and References in
  Programming Languages

abstract:
  In the paper a new programming construct, called concept, is introduced.
Concept is pair of two classes: a reference class and an object class.
Instances of the reference classes are passed-by-value and are intended to
represent objects. Instances of the object class are passed-by-reference. An
approach to programming where concepts are used instead of classes is called
concept-oriented programming (CoP). In CoP objects are represented and accessed
indirectly by means of references. The structure of concepts describes a
hierarchical space with a virtual address system. The paper describes this new
approach to programming including such mechanisms as reference resolution,
complex references, method interception, dual methods, life-cycle management
inheritance and polymorphism.


title: Indirect Object Representation and Access by Means of Concepts

abstract:
  The paper describes a mechanism for indirect object representation and access
(ORA) in programming languages. The mechanism is based on using a new
programming construct which is referred to as concept. Concept consists of one
object class and one reference class both having their fields and methods. The
object class is the conventional class as defined in OOP with instances passed
by reference. Instances of the reference class are passed by value and are
intended to represent objects. The reference classes are used to describe how
objects have to be represented and accessed by providing custom format for
their identifiers and custom access procedures. Such an approach to programming
where concepts are used instead of classes is referred to as concept-oriented
programming. It generalizes OOP and its main advantage is that it allows the
programmer to describe not only the functionality of target objects but also
intermediate functions which are executed behind the scenes as an object is
being accessed.


title: Depinning in a two-layer model of plastic flow

abstract:
  We study a model of two layers, each consisting of a d-dimensional elastic
object driven over a random substrate, and mutually interacting through a
viscous coupling. For this model, the mean-field theory (i.e. a fully connected
model) predicts a transition from elastic depinning to hysteretic plastic
depinning as disorder or viscous coupling is increased. A functional RG
analysis shows that any small inter-layer viscous coupling destablizes the
standard (decoupled) elastic depinning FRG fixed point for d <= 4, while for d
> 4 most aspects of the mean-field theory are recovered. A one-loop study at
non-zero velocity indicates, for d<4, coexistence of a moving state and a
pinned state below the elastic depinning threshold, with hysteretic plastic
depinning for periodic and non-periodic driven layers. A 2-loop analysis of
quasi-statics unveils the possibility of more subtle effects, including a new
universality class for non-periodic objects. We also study the model in d=0,
i.e. two coupled particles, and show that hysteresis does not always exist as
the periodic steady state with coupled layers can be dynamically unstable. It
is also proved that stable pinned configurations remain dynamically stable in
presence of a viscous coupling in any dimension d. Moreover, the layer model
for periodic objects is stable to an infinitesimal commensurate density
coupling. Our work shows that a careful study of attractors in phase space and
their basin of attraction is necessary to obtain a firm conclusion for
dimensions d=1,2,3.


title:
Differential cross sections for muonic atom scattering in solid
  hydrogenic targets

abstract:
  The differential cross sections for low-energy muonic hydrogen atom
scattering in solid molecular H$_2$, D$_2$ and T$_2$ targets under low pressure
have been calculated for various temperatures. The polycrystalline fcc and hcp
structure of the solid hydrogenic targets are considered. The Bragg and phonon
scattering processes are described using the Debye model of a solid. The
calculated cross sections are used for Monte Carlo simulations of the muonic
atom slowing down in these targets. They have been successfully applied for a
description of the production of the muonic atom beams in the multilayer
hydrogenic crystals.


title: Principles of the Concept-Oriented Data Model

abstract:
  In the paper a new approach to data representation and manipulation is
described, which is called the concept-oriented data model (CODM). It is
supposed that items represent data units, which are stored in concepts. A
concept is a combination of superconcepts, which determine the concept's
dimensionality or properties. An item is a combination of superitems taken by
one from all the superconcepts. An item stores a combination of references to
its superitems. The references implement inclusion relation or attribute-value
relation among items. A concept-oriented database is defined by its concept
structure called syntax or schema and its item structure called semantics. The
model defines formal transformations of syntax and semantics including the
canonical semantics where all concepts are merged and the data semantics is
represented by one set of items. The concept-oriented data model treats
relations as subconcepts where items are instances of the relations.
Multi-valued attributes are defined via subconcepts as a view on the database
semantics rather than as a built-in mechanism. The model includes
concept-oriented query language, which is based on collection manipulations. It
also has such mechanisms as aggregation and inference based on semantics
propagation through the database schema.


title: Growth of surface undulations at the Rosensweig instability

abstract:
  We investigate the growth of a pattern of liquid crests emerging in a layer
of magnetic liquid when subjected to a magnetic field oriented normally to the
fluid surface. After a steplike increase of the magnetic field, the temporal
evolution of the pattern amplitude is measured by means of a Hall-sensor array.
The extracted growth rate is compared with predictions from linear stability
analysis by taking into account the proper nonlinear magnetization curve M(H).
The remaining discrepancy can be resolved by numerical calculations via the
finite-element method. By starting with a finite surface perturbation, it can
reproduce the temporal evolution of the pattern amplitude and the growth rate.
The investigations are performed for two magnetic liquids, one with low and one
with high viscosity.


title: Effects of Spontaneous Lorentz Violation in Gravity

abstract:
  Spontaneous breaking of local Lorentz symmetry occurs when a local vector or
tensor field acquires a nonzero vacuum expectation value. The effects of such
breaking are examined in the context of gravity theory. These include an
associated spontaneous breaking of diffeomorphism symmetry and generation of
massless Nambu-Goldstone modes. The possibility of a Higgs mechanism is
examined as well, and it is found that the conventional Higgs mechanism (giving
rise to massive gauge fields) does not occur in a Riemann spacetime. However,
in a Riemann-Cartan spacetime a Higgs mechanism involving the spin connection
is possible. Despite the lack of a conventional Higgs mechanism in Riemann
spacetime, additional massive modes involving the metric can appear through
unconventional processes that have no analogue in nonabelian gauge theory. The
effects of these types of processes are illustrated using a specific model,
known as a bumblebee model, in which a vector field acquires a vacuum value.


title: From Power Laws to Fractional Diffusion: the Direct Way

abstract:
  Starting from the model of continuous time random walk, we focus our interest
on random walks in which the probability distributions of the waiting times and
jumps have fat tails characterized by power laws with exponent between 0 and 1
for the waiting times, between 0 and 2 for the jumps. By stating the relevant
lemmata (of Tauber type) for the distribution functions we need not distinguish
between continuous and discrete space and time. We will see that, by a
well-scaled passage to the diffusion limit, generalized diffusion processes,
fractional in time as well as in space, are obtained. The corresponding
equation of evolution is a linear partial pseudo-differential equation with
fractional derivatives in time and in space, the orders being equal to the
above exponents.
  Such processes are well approximated and visualized by simulation via various
types of random walks. For their explicit solutions there are available
integral representations that allow to investigate their detailed structure.


title: Resolving the sign ambiguity in Delta Gamma_s with B_s -> D_s K

abstract:
  The analysis of tagged B_s -> J/psi phi decays determines the CP phase phi_s
in B_s-anti-B_s mixing with a two-fold ambiguity. The solutions differ in the
sign of cos(phi_s) which equals the sign of the width difference Delta Gamma_s
among the two B_s mass eigenstates. We point out that this ambiguity can be
removed with the help of B_s -> D_s K decays. We compare untagged and tagged
strategies and find the tagged analysis more promising. The removal of the sign
ambiguity in Delta Gamma_s can be done with relatively low statistics and could
therefore be a target for the early stage of B_s -> D_s K studies.


title:
Characterization of ZnO:Si Nanocomposite Films Grown by Thermal
  Evaporation

abstract:
  Nanocomposite thin films of Zinc Oxide and Silicon were grown by
co-evaporating powdered ZnO and Si. This resulted in nanocrystallites of ZnO
being embedded in Silicon. The mismatch in crystal structures of constituent
materials result in the ZnO nanocrystals to exist in a state of stress. This
along with oxygen vacancies in the samples result in good Photoluminescence
emission at 520nm. Also, Silicon background gave a photoluminescence emission
at 620nm. The structure was found quite stable over time since the homgenously
dispersed ZnO nanocrystals do not agglomerate. The nanocomposites promises to
be a useful candidate for future optoelectronic devices.


title: Lecture Notes on Semiconductor Spintronics

abstract:
  These informal lecture notes describe the progress in semiconductor
spintronics in a historic perspective as well as in a comparison to
achievements of spintronics of ferromagnetic metals. After outlining
motivations behind spintronic research, selected results of investigations on
three groups of materials are presented. These include non-magnetic
semiconductors, hybrid structures involving semiconductors and ferromagnetic
metals, and diluted magnetic semiconductors either in paramagnetic or
ferromagnetic phase. Particular attention is paid to the hole-controlled
ferromagnetic systems whose thermodynamic, micromagnetic, transport, and
optical properties are described in detail together with relevant theoretical
models.


title:
Some recent advances in theory and simulation of fractional diffusion
  processes

abstract:
  To offer a view into the rapidly developing theory of fractional diffusion
processes we describe in some detail three topics of present interest: (i) the
well-scaled passage to the limit from continuous time random walk under power
law assumptions to space-time fractional diffusion, (ii) the asymptotic
universality of the Mittag-Leffler waiting time law in time-fractional
processes, (iii) our method of parametric subordination for generating particle
trajectories.


title: Jet-environment interactions in FRI radio galaxies

abstract:
  There is now unequivocal evidence that the jets in FR I radio galaxies are
initially relativistic, decelerating flows. On the assumption that they are
axisymmetric and intrinsically symmetrical (a good approximation close to the
nucleus), we can make models of their geometry, velocity, emissivity and field
structure whose parameters can be determined by fitting to deep VLA
observations. Mass entrainment - either from stellar mass loss within the jet
volume or via a boundary layer at the jet surface - is the most likely cause
for deceleration. This idea is quantitatively consistent with the velocity
field and geometry inferred from kinematic modelling and the external gas
density and pressure profiles derived from X-ray observations. The jets must
initially be very light, perhaps with an electron-positron composition.


title: An Integral Inequality and the Riccati-Bernoulli Differential Equation

abstract:
  We apply an integral inequality to obtain a rigorous apriori estimate of the
accuracy of the partial sum to the power series solution of the celebrated
Riccati-Bernoulli differential equation


title: S-duality Action on Discrete T-duality Invariants

abstract:
  In heterotic string theory compactified on T^6, the T-duality orbits of dyons
of charge (Q,P) are characterized by O(6,22;R) invariants Q^2, P^2 and Q.P
together with a set of invariants of the discrete T-duality group O(6,22;Z). We
study the action of S-duality group on the discrete T-duality invariants and
study its consequence for the dyon degeneracy formula. In particular we find
that for dyons with torsion r, the degeneracy formula, expressed as a function
of Q^2, P^2 and Q.P, is required to be manifestly invariant under only a
subgroup of the S-duality group. This subgroup is isomorphic to \Gamma^0(r).
Our analysis also shows that for a given torsion r, all other discrete
T-duality invariants are characterized by the elements of the coset
SL(2,Z)/\Gamma^0(r).


title:
Effects of strong correlations for 2D Bose-Einstein condensed dipolar
  excitons

abstract:
  By doing quantum Monte Carlo ab initio simulations we show that dipolar
excitons, which are now under experimental study, actually are strongly
correlated systems. Strong correlations manifest in significant deviations of
excitation spectra from the Bogoliubov one, large Bose condensate depletion,
short-range order in the pair correlation function, and peak(s) in the
structure factor.


title:
Phase transition in the scalar noise model of collective motion in three
  dimensions

abstract:
  We consider disorder-order phase transitions in the three-dimensional version
of the scalar noise model (SNM) of flocking. Our results are analogous to those
found for the two-dimensional case. For small velocity (v <= 0.1) a continuous,
second-order phase transition is observable, with the diffusion of nearby
particles being isotropic. By increasing the particle velocities the phase
transition changes to first order, and the diffusion becomes anisotropic. The
first-order transition in the latter case is probably caused by the interplay
between anisotropic diffusion and periodic boundary conditions, leading to a
boundary condition dependent symmetry breaking of the solutions.


title: Superfluidity of two- dimensional excitons in flat and harmonic traps

abstract:
  Superfluid exciton density and superfluid transition (crossover) temperature
are calculated for 2D excitons in large-size flat and harmonic traps. A
generalized local density approximation for the Kosterlitz-Thouless theory is
developed.


title: Star products and local line bundles

abstract:
  The notion of a local line bundle on a manifold, classified by 2-cohomology
with real coefficients, is introduced. The twisting of pseudodifferential
operators by such a line bundle leads to an algebroid with elliptic elements
with real-valued index, given by a twisted variant of the Atiyah-Singer index
formula. Using ideas of Boutet de Monvel and Guillemin the corresponding
twisted Toeplitz algebroid on any compact symplectic manifold is shown to yield
the star products of Lecomte and DeWilde ([MR84g:17014]) see also Fedosov's
construction in [MR92k:58267]. This also shows that the trace on the star
algebra is identified with the residue trace of Wodzicki and Guillemin


title:
Jet spectra in FR I radio galaxies: implications for particle
  acceleration

abstract:
  We describe very accurate imaging of radio spectral index for the inner jets
in three FR I radio galaxies. Where the jets first brighten, there is a
remarkably small dispersion around a spectral index of 0.62. This is also the
region where bright X-ray emission is detected. Further from the nucleus, the
spectral index flattens slightly to 0.50 - 0.55 and X-ray emission, although
still detectable, is fainter relative to the radio. The brightest X-ray
emission from the jets is therefore not associated with the flattest radio
spectra, but rather with some particle-acceleration process whose
characteristic energy index is 2.24. The change in spectral index occurs
roughly where our relativistic jet models require rapid deceleration.
Flatter-spectrum edges can be seen where the jets are isolated from significant
surrounding diffuse emission and we suggest that these are associated with
shear.


title: Resolvent of Large Random Graphs

abstract:
  We analyze the convergence of the spectrum of large random graphs to the
spectrum of a limit infinite graph. We apply these results to graphs converging
locally to trees and derive a new formula for the Stieljes transform of the
spectral measure of such graphs. We illustrate our results on the uniform
regular graphs, Erdos-Renyi graphs and preferential attachment graphs. We
sketch examples of application for weighted graphs, bipartite graphs and the
uniform spanning tree of n vertices.


title:
Effect of short-range impurities on low-temperature conductance and
  thermopower of quantum wires

abstract:
  The electron transport through the parabolic quantum wire placed in
longitudinal magnetic field in the presence of the system of short-range
impurities inside the wire is investigated. Using approach based on the
zero-range potential theory we obtained an exact formula for the transmission
coefficient of the electron through the wire that allows to calculate such the
transport characteristics as the conductance and differential thermopower. The
dependencies of conductance and thermopower on the chemical potential and
magnetic field are investigated. The effect of elastic scattering due to
short-range impurities on low-temperature conductance and thermopower is
studied. It was shown that the character of the electron transport essentially
depends on the position of the every scattering center. The presence even
isolated impurity leads to destruction of conductance quantization. In some
cases it is possible that thermopower can change the sign in dependence on
chemical potential and magnetic field.


title: On the Rosenberg-Zelinsky sequence in abelian monoidal categories

abstract:
  We consider Frobenius algebras and their bimodules in certain abelian
monoidal categories. In particular we study the Picard group of the category of
bimodules over a Frobenius algebra, i.e. the group of isomorphism classes of
invertible bimodules. The Rosenberg-Zelinsky sequence describes a homomorphism
from the group of algebra automorphisms to the Picard group, which however is
typically not surjective. We investigate under which conditions there exists a
Morita equivalent Frobenius algebra for which the corresponding homomorphism is
surjective. One motivation for our considerations is the orbifold construction
in conformal field theory.


title: Frequency estimation based on the cumulated Lomb-Scargle periodogram

abstract:
  We consider the problem of estimating the period of an unknown periodic
function observed in additive noise sampled at irregularly spaced time instants
in a semiparametric setting. To solve this problem, we propose a novel
estimator based on the cumulated Lomb-Scargle periodogram. We prove that this
estimator is consistent, asymptotically Gaussian and we provide an explicit
expression of the asymptotic variance. Some Monte-Carlo experiments are then
presented to support our claims.


title: Interval Edge Colorings of Mobius Ladders

abstract:
  An interval edge t-coloring of a graph G is a proper edge coloring of G with
colors 1,2...,t such that at least one edge of G is colored by color
i,i=1,2...,t, and the edges incident with each vertex x are colored by d_{G}(x)
consecutive colors, where d_{G}(x) is the degree of the vertex x in G. For
Mobius ladders the existence of this coloring is proved and all possible
numbers of colors in such colorings are found.


title: Chaotic Dirac billiard in graphene quantum dots

abstract:
  We report on transport characteristics of quantum dot devices etched entirely
in graphene. At large sizes, they behave as conventional single-electron
transistors, exhibiting periodic Coulomb blockade peaks. For quantum dots
smaller than 100 nm, the peaks become strongly non-periodic indicating a major
contribution of quantum confinement. Random peak spacing and its statistics are
well described by the theory of chaotic neutrino (Dirac) billiards. Short
constrictions of only a few nm in width remain conductive and reveal a
confinement gap of up to 0.5eV, which demonstrates the in-principle possibility
of molecular-scale electronics based on graphene.


title:
Proper actions, fixed-point algebras and naturality in nonabelian
  duality

abstract:
  Suppose a locally compact group G acts freely and properly on a locally
compact Hausdorff space X, and let gamma be the induced action on C_0(X). We
consider a category in which the objects are C*-dynamical systems (A, G, alpha)
for which there is an equivariant homomorphism of (C_0(X), gamma) into the
multiplier algebra M(A). Rieffel has shown that such systems are proper and
saturated, and hence have a generalized fixed-point algebra A^alpha which is
Morita equivalent to A times_{alpha,r} G. We show that the assignment (A,
alpha) maps to A^alpha is functorial, and that Rieffel's Morita equivalence is
natural in a suitable sense. We then use our results to prove a categorical
version of Landstad duality which characterizes crossed products by coactions,
and to prove that Mansfield imprimitivity for crossed products by homogeneous
spaces is natural.


title: Affine Toric SL(2)-embeddings

abstract:
  In 1973 V.L.Popov classified affine SL(2)-embeddings. He proved that a
locally transitive SL(2)-action on a normal affine three-dimensional variety X
is uniquely determined by a pair (p/q, r), where 0<p/q<=1 is an uncancelled
fraction and r is a positive integer. Here r is the order of the stabilizer of
a generic point. In this paper we show that the variety X is toric, i.e. admits
a locally transitive action of an algebraic torus, if and only if r is
divisible by q-p. To do this we prove the following necessary and sufficient
condition for an affine G/H-embedding to be toric. Suppose X is a normal affine
variety, G is a simply connected semisimple algebraic group acting regularly on
X, H is a closed subgroup of G such that the character group $\mathfrak{X}(H)$
is finite and G/H -> X is a dense open equivariant embedding. Then X is toric
if and only if there exist a quasitorus T and a $(G\times T)$-module V such
that $X\stackrel{G}{\cong} V//T$. The key role in the proof plays D. Cox's
construction.


title:
The Complete Census of 70-um-Bright Debris Disks within the FEPS
  (Formation and Evolution of Planetary Systems) Spitzer Legacy Survey of
  Sun-like Stars

abstract:
  (abbreviated) We report detection with the Spitzer Space Telescope of cool
dust surrounding solar type stars. The observations were performed as part of
the Legacy Science Program, ``Formation and Evolution of Planetary Systems''
(FEPS). From the overall FEPS sample (Meyer et al. 2006) of 328 stars having
ages ~0.003-3 Gyr we have selected sources with 70 um flux densities indicating
excess in their spectral energy distributions above expected photospheric
emission........ .....The rising spectral energy distributions towards - and
perhaps beyond - 70 um imply dust temperatures T_dust <45-85 K for debris in
equilibrium with the stellar radiation field. We infer bulk properties such as
characteristic temperature, location, fractional luminosity, and mass of the
dust from fitted single temperature blackbody models. For >1/3 of the debris
sources we find that multiple temperature components are suggested, implying a
spatial distribution of dust extending over many tens of AU. Because the disks
are dominated by collisional processes, the parent body (planetesimal) belts
may be extended as well. Preliminary assessment of the statistics of cold
debris around sun-like stars shows that ~10% of FEPS targets with masses
between 0.6 and 1.8 Msun and ages between 30 Myr and 3 Gyr exhibit 70 um
emission in excess of the expected photospheric flux density. We find that
fractional excess amplitudes appear higher for younger stars and that there may
be a trend in 70 um excess frequency with stellar mass.


title: Charged Rotating Kaluza-Klein Black Holes in Five Dimensions

abstract:
  We construct a new charged rotating Kaluza-Klein black hole solution in the
five-dimensional Einstein-Maxwell theory with a Chern-Simon term. The features
of the solutions are also investigated. The spacetime is asymptotically locally
flat, i.e., it asymptotes to a twisted $\rm S^1$ bundle over the
four-dimensional Minkowski spacetime. The solution describe a non-BPS black
hole rotating in the direction of the extra dimension. The solutions have the
limits to the supersymmetric black hole solutions, a new extreme non-BPS black
hole solutions and a new rotating non-BPS black hole solution with a constant
twisted $\rm S^1$ fiber.


title:
A compactification for the spaces of convex projective structures on
  manifolds

abstract:
  In this paper we construct a compactification for the parameter space of
convex projective structures on a fixed n-manifold M. This parameter space is a
closed semi-algebraic subset of the variety of characters of representations of
the fundamental group of M in SL_{n+1}(R). The boundary is the inverse limit of
an inverse system of logarithmic limit sets of this semi-algebraic set, in a
sense it is the tropicalization of the parameter space. The interpretation of
the boundary points can also be given using tropical geometry. This
construction is a generalization of the construction of compactification of the
Teichm\"uller spaces.


title:
The chemical compositions of 10 new sub-DLAs and strong Lyman-limit
  systems at z < 1.5

abstract:
  We present chemical abundance measurements from medium resolution
observations of 8 sub-damped Lyman-alpha absorber and 2 strong Lyman-limit
systems at z < 1.5 observed with the MIKE spectrograph on the 6.5m Magellan II
Clay telescope. These observations were taken as part of an ongoing project to
determine abundances in z < 1.5 quasar absorption line systems (QSOALS)
focusing on sub-DLA systems. These observations increase the sample of Zn
measurements in z < 1.5 sub-DLAs by ~50%. Lines of Mg I, Mg II, Al II, Al III,
Ca II, Mn II, Fe II, and Zn II were detected and column densities were
determined. Zn II, a relatively undepleted element and tracer of the gas phase
metallicity is detected in two of these systems, with [Zn/H]=-0.05\pm0.12 and
[Zn/H]>+0.86. The latter system is however a weak system with N(H I)<18.8, and
therefore may need significant ionisation corrections to the abundances. Fe II
lines were detected in all systems, with an average Fe abundance of
<[Fe/H]>=-0.68, higher than typical Fe abundances for DLA systems at these
redshifts. This high mean [Fe/H] could be due to less depletion of Fe onto dust
grains, or to higher abundances in these systems. We also discuss the relative
abundances in these absorbers. The systems with high metallicity show high
ratios of [Mn/Fe] and [Zn/Fe], as seen previously in another sub-DLA. These
higher values of [Mn/Fe] could be a result of heavy depletion of Fe onto
grains, unmixed gas, or an intrinsically non-solar abundance pattern. Based on
Cloudy modeling, we do not expect ionisation effects to cause this phenomenon.


title: Dark matter from stable charged particles?

abstract:
  Particle physics candidates for cosmological dark matter are usually
considered as neutral and weakly interacting. However stable charged leptons
and quarks can also exist and, hidden in elusive atoms, play the role of dark
matter. The necessary condition for such scenario is absence of stable
particles with charge -1 and effective mechanism for suppression of free
positively charged heavy species. These conditions are realized in several
recently developed scenarios. In scenario based on Walking Technicolor model
excess of stable particles with charge -2 and the corresponding dark matter
density is naturally related with the value and sign of cosmological baryon
asymmetry. The excessive charged particles are bound with primordial helium in
techni-O-helium "atoms", maintaining specific nuclear-interacting form of dark
matter. Some properties of techni-O-helium Universe are discussed.


title:
Elastic Maps and Nets for Approximating Principal Manifolds and Their
  Application to Microarray Data Visualization

abstract:
  Principal manifolds are defined as lines or surfaces passing through ``the
middle'' of data distribution. Linear principal manifolds (Principal Components
Analysis) are routinely used for dimension reduction, noise filtering and data
visualization. Recently, methods for constructing non-linear principal
manifolds were proposed, including our elastic maps approach which is based on
a physical analogy with elastic membranes. We have developed a general
geometric framework for constructing ``principal objects'' of various
dimensions and topologies with the simplest quadratic form of the smoothness
penalty which allows very effective parallel implementations. Our approach is
implemented in three programming languages (C++, Java and Delphi) with two
graphical user interfaces (VidaExpert
http://bioinfo.curie.fr/projects/vidaexpert and ViMiDa
http://bioinfo-out.curie.fr/projects/vimida applications). In this paper we
overview the method of elastic maps and present in detail one of its major
applications: the visualization of microarray data in bioinformatics. We show
that the method of elastic maps outperforms linear PCA in terms of data
approximation, representation of between-point distance structure, preservation
of local point neighborhood and representing point classes in low-dimensional
spaces.


title: Primordial heavy elements in composite dark matter models

abstract:
  A widely accepted viewpoint is to consider candidates for cosmological dark
matter as neutral and weakly interacting particles, as well as to consider only
light elements in the pregalactic chemical composition. It is shown that stable
charged leptons and quarks can exist and, hidden in elusive atoms, play the
role of dark matter. The inevitable consequence of realistic scenarios with
such composite atom-like dark matter is existence of significant or even
dominant fraction of "atoms", binding heavy -2 charged particles and He-4
nuclei. Being alpha-particles with shielded electric charge, such atoms
catalyse a new path of nuclear transformations in the period of Big Bang
Nucleosynthesis, which result in primordial heavy elements. The arguments are
given, why such scenario escapes immediate contradiction with observations and
challenges search for heavy stable charged particles in cosmic rays and at
accelerators.


title: Orders of $\pi$-bases

abstract:
  We extend the scope of B. Shapirovskii's results [B.E Shapirovskii, "Cardinal
invariants in Compact Hausdorff Spaces," Amer. Math. Soc. Transl. (2) Vol. 134,
1987, pp. 93-118] on the order of $\pi$-bases in compact spaces and answer some
questions of V. Tkachuk in [V.V. Tkachuk, "Point-countable pi-bases in
first-countable and similar spaces," Fund. Math. 186 (2005), pp.55-69].


title:
Fundamental excitations in layered superconductors with long-range
  Josephson couplings

abstract:
  The present paper develops the ideas introduced in {\em cond-mat/0312673}.
The construction of a hybrid discrete-continuous model of layered
superconductors is briefly presented. The model bases on the classic
Lawrence-Doniach scenario with admitting, however, long-range interactions
between atomic planes. Moreover, apart from Josephson couplings they involve
the proximity effects. The range of interactions, K, can, in principle, be
arbitrary large. The solutions corresponding to the range K=2 are exposed.
  The fundamental excitations are understood as deviations from stable ground
states.The formulae for energy of those excitations are constructed. The
possible shapes of dispersion curves are analysed. For each type of shape the
corresponding values of physically measurable quantities like effective maa and
bandwidth are expressed by coupling parameters.


title:
On a class of non-self-adjoint periodic eigenproblems with boundary and
  interior singularities

abstract:
  We prove that the spectrum of a certain PT-symmetric periodic problem is
purely real. Our results extend to a larger class of potentials those recently
found by Brian Davies [math.SP/0702122] and John Weir [arXiv:0711.1371].


title: Exceptional sequences and derived autoequivalences

abstract:
  We prove a general theorem that gives a non trivial relation in the group of
derived autoequivalences of a variety (or stack) X, under the assumption that
there exists a suitable functor from the derived category of another variety Y
admitting a full exceptional sequence. Applications include the case in which X
is Calabi-Yau and either X is a hypersurface in Y (this extends a previous
result by the author and R.L. Karp, where Y was a weighted projective space) or
Y is a hypersurface in X. The proof uses a resolution of the diagonal of Y
constructed from the exceptional sequence.


title: String topology of classifying spaces

abstract:
  Let $G$ be a finite group or a compact connected Lie group and let $BG$ be
its classifying space. Let $\mathcal{L}BG:=map(S^1,BG)$ be the free loop space
of $BG$ i.e. the space of continuous maps from the circle $S^1$ to $BG$. The
purpose of this paper is to study the singular homology $H_*(\mathcal LBG)$ of
this loop space. We prove that when taken with coefficients in a field the
homology of $\mathcal LBG$ is a homological conformal field theory. As a
byproduct of our main theorem, we get a Batalin-Vilkovisky algebra structure on
the cohomology $H^*(\mathcal LBG)$. We also prove an algebraic version of this
result by showing that the Hochschild cohomology $HH^*(S_* (G),S_*(G))$ of the
singular chains of $G$ is a Batalin-Vilkovisky algebra.


title: The Weil-Petersson metric geometry

abstract:
  A summary introduction of the Weil-Petersson metric space geometry is
presented. Teichmueller space and its augmentation are described in terms of
Fenchel-Nielsen coordinates. Formulas for the gradients and Hessians of
geodesic-length functions are presented. Applications are considered. A
description of the Weil-Petersson metric in Fenchel-Nielsen coordinates is
presented. The Alexandrov tangent cone at points of the augmentation is
described. A comparison dictionary is presented between the geometry of the
space of flat tori and Teichmueller space with the Weil-Petersson metric.


title:
PCA Beyond The Concept of Manifolds: Principal Trees, Metro Maps, and
  Elastic Cubic Complexes

abstract:
  Multidimensional data distributions can have complex topologies and variable
local dimensions. To approximate complex data, we propose a new type of
low-dimensional ``principal object'': a principal cubic complex. This complex
is a generalization of linear and non-linear principal manifolds and includes
them as a particular case. To construct such an object, we combine a method of
topological grammars with the minimization of an elastic energy defined for its
embedment into multidimensional data space. The whole complex is presented as a
system of nodes and springs and as a product of one-dimensional continua
(represented by graphs), and the grammars describe how these continua transform
during the process of optimal complex construction. The simplest case of a
topological grammar (``add a node'', ``bisect an edge'') is equivalent to the
construction of ``principal trees'', an object useful in many practical
applications. We demonstrate how it can be applied to the analysis of bacterial
genomes and for visualization of cDNA microarray data using the ``metro map''
representation. The preprint is supplemented by animation: ``How the
topological grammar constructs branching principal components
(AnimatedBranchingPCA.gif)''.


title: Three-party d-level quantum secret sharing protocol

abstract:
  We develop a three-party quantum secret sharing protocol based on arbitrary
dimensional quantum states. In contrast to the previous quantum secret sharing
protocols, the sender can always control the state, just using local
operations, for adjusting the correlation of measurement directions of three
parties and thus there is no waste of resource due to the discord between the
directions. Moreover, our protocol contains the hidden value which enables the
sender to leak no information of secret key to the dishonest receiver until the
last steps of the procedure.


title:
Efficient free energy profile reconstruction using adaptive stochastic
  perturbation protocols

abstract:
  Application of Jarzynski nonequilibrium work relation to free energy
calculation is limited by the very slow convergence of the estimate when
dissipation is high. We present a novel perturbation protocol able to improve
the convergence of Jarzynski estimator when it is applied in the reconstruction
of the potential of mean force. The improvement is based on the application of
the adaptive external work variation in addition to the one caused by thermal
fluctuations.


title: Two-timescale adiabatic expansion of a scalar field model

abstract:
  The analysis of gravitational wave data may require greater accuracy than is
afforded by the adiabatic approximation to the trajectory of and field produced
by a particle moving in curved spacetime. Higher accuracy is available with a
two-timescale approach using as an expansion parameter the ratio of orbital
time to radiation reaction time. To avoid apparent divergences at large
distances, the details of the method are important, especially the choice of
the foliation, the spacetime surfaces on which the orbital elements are taken
to be constant. Here we apply the two-timescale approach to a simple linear
model to demonstrate the details of the method. In particular we use it to show
that a null foliation avoids large-distance divergences in the first-order
post-adiabatic approximation, and we argue that this will be true more
generally for a null foliation.


title: Direct optical detection of pure spin current in semiconductors

abstract:
  We suggest a new practical scheme for the direct detection of pure spin
current by using the two-color Faraday rotation of optical quantum interference
process (QUIP) in a semiconductor system. We demonstrate theoretically that the
Faraday rotation of QUIP depends sensitively on the spin orientation and wave
vector of the carriers, and can be tuned by the relative phase and the
polarization direction of the $\omega$ and $2\omega$ laser beams. By adjusting
these parameters, the magnitude and direction of the spin current can be
detected.


title: Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry

abstract:
  The tri-bimaximal mixing is a good approximation for the present data of
neutrino mixing angles. The deviation from the tri-bimaximal mixing is
discussed numerically in the framework of the A4 model. Values of
\tan^2\theta_{12}, \sin^2 2\theta_{23} and |U_{e3}| deviate from the
tri-bimaximal mixing due to the corrections of the vacuum alignment of flavon
fields. It is remarked that \sin^2 2\theta_{23} deviates scarcely from 1 while
\sin^2\theta_{12} can deviate from 1/3 considerably and \sin\theta_{13} could
be near the present experimental upper bound. The CP violating measure J_{CP}
and the effective Majorana neutrino mass m_{ee} are also discussed.


title:
Experimental study of the atmospheric neutrino backgrounds for proton
  decay to positron and neutral pion searches in water Cherenkov detectors

abstract:
  The atmospheric neutrino background for proton decay to positron and neutral
pion in ring imaging water Cherenkov detectors is studied with an artificial
accelerator neutrino beam for the first time. In total, about 314,000 neutrino
events corresponding to about 10 megaton-years of atmospheric neutrino
interactions were collected by a 1,000 ton water Cherenkov detector (KT). The
KT charged-current single neutral pion production data are well reproduced by
simulation programs of neutrino and secondary hadronic interactions used in the
Super-Kamiokande (SK) proton decay search. The obtained proton to positron and
neutral pion background rate by the KT data for SK from the atmospheric
neutrinos whose energies are below 3 GeV is about two per megaton-year. This
result is also relevant to possible future, megaton-scale water Cherenkov
detectors.


title:
The large nonlinearity scale limit of an information-theoretically
  motivated nonlinear Schrodinger equation

abstract:
  A nonlinear Schrodinger equation, that had been obtained within the context
of the maximum uncertainty principle, has the form of a difference-differential
equation and exhibits some interesting properties. Here we discuss that
equation in the regime where the nonlinearity length scale is large compared to
the deBroglie wavelength; just as in the perturbative regime, the equation
again displays some universality. We also briefly discuss stationary solutions
to a naturally induced discretisation of that equation.


title: The Existence of Strongly-MDS Convolutional Codes

abstract:
  It is known that maximum distance separable and maximum distance profile
convolutional codes exist over large enough finite fields of any characteristic
for all parameters $(n,k,\delta)$. It has been conjectured that the same is
true for convolutional codes that are strongly maximum distance separable.
Using methods from linear systems theory, we resolve this conjecture by showing
that, over a large enough finite field of any characteristic, codes which are
simultaneously maximum distance profile and strongly maximum distance separable
exist for all parameters $(n,k,\delta)$.


title:
Covariant anomalies and Hawking radiation from charged rotating black
  strings in anti-de Sitter spacetimes

abstract:
  Motivated by the success of the recently proposed method of anomaly
cancellation to derive Hawking fluxes from black hole horizons of spacetimes in
various dimensions, we have further extended the covariant anomaly cancellation
method shortly simplified by Banerjee and Kulkarni to explore the Hawking
radiation of the (3+1)-dimensional charged rotating black strings and their
higher dimensional extensions in anti-de Sitter spacetimes, whose horizons are
not spherical but can be toroidal, cylindrical or planar, according to their
global identifications. It should be emphasized that our analysis presented
here is very general in the sense that the determinant of the reduced
(1+1)-dimensional effective metric from these black strings need not be equal
to one $(\sqrt{-g} \neq 1)$. Our results indicate that the gauge and energy
momentum fluxes needed to cancel the (1+1)-dimensional covariant gauge and
gravitational anomalies are compatible with the Hawking fluxes. Besides,
thermodynamics of these black strings are studied in the case of a variable
cosmological constant.


title: Fractal structure of a solvable lattice model

abstract:
  Fractal structure of the six-vertex model is introduced with the use of the
IFS (Iterated Function Systems). The fractal dimension satisfies an equation
written by the free energy of the six-vertex model. It is pointed out that the
transfer matrix method and the $n$-equivalence relation introduced in lattice
theories have also been introduced in the area of fractal geometry. All the
results can be generalized for the models suitable to the transfer matrix
treatment, and hence this gives general relation between solvable lattice
models and fractal geometry.


title:
Ab initio investigation of optical properties of high-pressure phases of
  ice

abstract:
  We report a detailed ab initio investigation on the optical properties of ice
under a wide high pressure range. The ice X phase (up to 380GPa), the
theoretical proposed higher pressure phase ice XV (300GPa), as well as the
ambient pressure low-temperature phase ice XI are involved. Our results show
that the dispersion relations of optical properties of ice under high pressure
are quite different from those under ambient pressure. Under higher pressure,
there is whole tendency of blue shift in all optical properties of ice, and the
energy region for optical response become broader, such as the absorption band
and reflection band. In addition to the augmented absorption edge, all
absorption peaks are found to be rising, and the reflection peaks are also
enhanced a bit; hence the transmissivity of ice is inferred to be dropping. The
photoconductivity is enhanced, and we explain this behavior from the increase
of earner density. The static optical properties are found to be pressure
independent, and principally due to the network topology of hydrogen bonding.


title: The evolution of free wave packets

abstract:
  We discuss four general features of force-free evolution: (1) The spatial
spread of any packet changes with time in a very simple way. (2) Over
sufficiently short periods of time (whose duration is related to the spread in
momentum of the packet) the probability distribution moves but there is little
change in shape. (3) After a sufficiently long period (related to the initial
spatial spread) the packet settles into a simple form simply related to the
momentum distribution in the packet. In this asymptotic regime, the shape of
the probability distribution no longer changes except for its scale, which
increases linearly with the time. (4) There is an infinite denumerable set of
simple wave packets (the Hermite-Gauss packets) that do not change shape as
they evolve.


title: Unparticle Induced Baryon Number Violating Nucleon Decays

abstract:
  We study baryon number violating nucleon decays induced by unparticle
interactions with the standard model particles. We find that the lowest
dimension operators which cause nucleon decays can arise at dimension 6 +
(d_s-3/2) with the unparticles being a spinor of dimension d_s=d_\U +1/2. For
scalar and vector unparticles of dimension d_\U, the lowest order operatoers
arise at 6+d_\U and 7+d_\U dimensions,respectively. Comparing the spinor
unparticle induced n \to O^s_\U and experimental bound on invisible decay of a
neutron from KamLAND, we find that the scale for unparticle physics is required
to be larger than 10^{10} GeV for d_\U < 2 if the couplings are set to be of
order one. For scalar and vector unparticles, the dominant baryon number
violating decay modes are n\to \bar \nu + O_\U (O^\mu_\U) and p \to e^+ + O_\U
(O^\mu_\U). The same experimental bound puts the scales for scalar and vector
unparticle to be larger than 10^{7} and 10^{5} GeV for d_\U <2 with couplings
set to be of order one. Data on, p \to e^+ invisible, puts similar constraints
on unparticle interactions.


title:
Spin dynamics and spin freezing behavior in the two-dimensional
  antiferromagnet NiGa$_{2}$S$_{4}$ revealed by Ga-NMR, NQR and $\mu$SR
  measurements

abstract:
  We have performed $^{69,71}$Ga nuclear magnetic resonance (NMR) and nuclear
quadrupole resonance (NQR) and muon spin rotation/resonance on the quasi
two-dimensional antiferromagnet (AFM) NiGa$_2$S$_4$, in order to investigate
its spin dynamics and magnetic state at low temperatures. Although there exists
only one crystallographic site for Ga in NiGa$_2$S$_4$, we found two distinct
Ga signals by NMR and NQR. The origin of the two Ga signals is not fully
understood, but possibly due to stacking faults along the c axis which induce
additional broad Ga NMR and NQR signals with different local symmetries. We
found the novel spin freezing occurring at $T_{\rm f}$, at which the specific
heat shows a maximum, from a clear divergent behavior of the nuclear
spin-lattice relaxation rate $1/T_{1}$ and nuclear spin-spin relaxation rate
$1/T_{2}$ measured by Ga-NQR as well as the muon spin relaxation rate
$\lambda$. The main sharp NQR peaks exhibit a stronger tendency of divergence,
compared with the weak broader spectral peaks, indicating that the spin
freezing is intrinsic in NiGa$_2$S$_4$. The behavior of these relaxation rates
strongly suggests that the Ni spin fluctuations slow down towards $T_{\rm f}$,
and the temperature range of the divergence is anomalously wider than that in a
conventional magnetic ordering. A broad structureless spectrum and
multi-component $T_1$ were observed below 2 K, indicating that a static
magnetic state with incommensurate magnetic correlations or inhomogeneously
distributed moments is realized at low temperatures. However, the wide
temperature region between 2 K and $T_{\rm f}$, where the NQR signal was not
observed, suggests that the Ni spins do not freeze immediately below $T_{\rm
f}$, but keep fluctuating down to 2 K with the MHz frequency range.


title:
Homotopy theory of modules over operads and non-Sigma operads in
  monoidal model categories

abstract:
  This paper studies the existence of model category structures on algebras and
modules over operads in monoidal model categories.


title: Topology of broken Lefschetz fibrations and near-symplectic 4-manifolds

abstract:
  The topology of broken Lefschetz fibrations is studied by means of handle
decompositions. We consider a slight generalization of round handles, and
describe the handle diagrams for all that appear in dimension four. We
establish simplified handlebody and monodromy representations for a certain
subclass of broken Lefschetz fibrations/pencils, while showing that all
near-symplectic closed 4-manifolds can be supported by these a la Auroux,
Donaldson, Katzarkov. Various constructions of broken Lefschetz fibrations and
a generalization of the symplectic fiber sum operation to the near-symplectic
setting are given. Extending the study of Lefschetz fibrations, we detect
certain constraints on the symplectic fiber sum operation to result in a
4-manifold with nontrivial Seiberg-Witten invariant, as well as the
self-intersection numbers that sections of broken Lefschetz fibrations can
acquire.


title: Homotopy theory of modules over operads in symmetric spectra

abstract:
  We establish model category structures on algebras and modules over operads
in symmetric spectra, and study when a morphism of operads induces a Quillen
equivalence between corresponding categories of algebras (resp. modules) over
operads.


title: Cohomologies of harmonic bundles on quasi-compact Kaehler manifolds

abstract:
  In this note, we survey our recent work concerning cohomologies of harmonic
bundles on quasi-compact Kaehler manifolds.


title:
An optimal life insurance policy in the investment-consumption problem
  in an incomplete market

abstract:
  This paper considers an optimal life insurance for a householder subject to
mortality risk. The household receives a wage income continuously, which is
terminated by unexpected (premature) loss of earning power or (planned and
intended) retirement, whichever happens first. In order to hedge the risk of
losing income stream by householder's unpredictable event, the household enters
a life insurance contract by paying a premium to an insurance company. The
household may also invest their wealth into a financial market. The problem is
to determine an optimal insurance/investment/consumption strategy in order to
maximize the expected total, discounted utility from consumption and terminal
wealth. To reflect a real-life situation better, we consider an incomplete
market where the householder cannot trade insurance contracts continuously. To
our best knowledge, such a model is new in the insurance and finance
literature. The case of exponential utilities is considered in detail to derive
an explicit solution. We also provide numerical experiments for that particular
case to illustrate our results.


title:
Standard representation of multivariate functions on a general
  probability space

abstract:
  It is well-known that a random variable, i.e., a function defined on a
probability space, with values in a Borel space, can be represented on the
special probability space consisting of the unit interval with Lebesgue
measure. We show an extension of this to multivariate functions. This is
motivated by some recent constructions of random graphs.


title: A model for the very early Universe

abstract:
  A model with N species of massless fermions interacting via (microscopic)
gravitational torsion in de Sitter spacetime is investigated in the limit
N->infinity. The U_V(N)*U_A(N) flavor symmetry is broken dynamically
irrespective of the (positive) value of the induced four-fermion coupling. This
model is equivalent to a theory with free but massive fermions fluctuating
about the chiral condensate. When the fermions are integrated out in a way
demonstrated long ago by Candelas and Raine, the associated gap equation
together with the Friedmann equation predict that the Hubble parameter
vanishes. Introducing a matter sector (subject to a finite gauge symmetry) as a
source for subsequent cosmology, the neutral Goldstone field acquires mass by
the chiral anomaly, resulting in a Planck-scale axion.


title: Gravity dual of conformal matter collisions in 1+1 dimensions

abstract:
  We find the three-dimensional gravity dual of a process in which two clouds
of (1+1)-dimensional conformal matter moving in opposite directions collide.
This gives the most general conformally invariant holographic flow in the 1+1
dimensional boundary theory in terms of two arbitrary functions. With a
suitable choice of the arbitrary functions the process can be interpreted as an
opaque collision of two extended systems with central, fragmentation and
interaction regions. Comparison with classical gluon field calculations relates
the size of the system with the saturation scale.


title: Lawvere completion and separation via closure

abstract:
  For a quantale $\V$, first a closure-theoretic approach to completeness and
separation in $\V$-categories is presented. This approach is then generalized
to $\Tth$-categories, where $\Tth$ is a topological theory that entails a set
monad $\mT$ and a compatible $\mT$-algebra structure on $\V$.


title: Quantum Tunneling and Back Reaction

abstract:
  We give a correction to the tunneling probability by taking into account the
back reaction effect to the metric of the black hole spacetime. We then show
how this gives rise to the modifications in the semiclassical black hole
entropy and Hawking temperature. Finally, we reproduce the familiar logarithmic
correction to the Bekenstein-Hawking area law.


title: Dark Energy-Dark Matter Interaction from the Abell Cluster A586

abstract:
  We find that deviation from the virial equilibrium of the Abell Cluster A586
yields evidence of the interaction between dark matter and dark energy. We
argue that this interaction might imply a violation of the Equivalence
Principle. Our analysis show that evidence is found in the context of two
different models of dark energy-dark matter interaction.


title:
There are 1,132,835,421,602,062,347 nonisomorphic one-factorizations of
  $K_{14}$

abstract:
  We establish by means of a computer search that a complete graph on 14
vertices has 98,758,655,816,833,727,741,338,583,040 distinct and
1,132,835,421,602,062,347 nonisomorphic one-factorizations. The enumeration is
constructive for the 10,305,262,573 isomorphism classes that admit a nontrivial
automorphism.


title: Nonlinear localized modes at phase-slip defects in waveguide arrays

abstract:
  We study light localization at a phase-slip defect created by two
semi-infinite mismatched identical arrays of coupled optical waveguides. We
demonstrate that the nonlinear defect modes possess the specific properties of
both nonlinear surface modes and discrete solitons. We analyze stability of the
localized modes and their generation in both linear and nonlinear regimes.


title:
Star Formation in the Extreme Outer Galaxy: the IMF in a low metallicity
  environment

abstract:
  We are conducting a deep near-infrared (NIR) imaging survey of young embedded
clusters in the extreme outer Galaxy (hereafter EOG), at the Galactic radius
(R_g) of more than 18 kpc. The EOG is an excellent laboratory to study the
nature of the IMF in a low-metallicity environment with a great advantage of
the proximity compared to nearby dwarf galaxies, such as LMC & SMC. As a first
step, we obtained deep NIR images of Digel Cloud 2 clusters at R_g ~19 kpc
using the Subaru 8.2-m telescope. The observed K-band luminosity function shows
that IMF in the low metallicity environment down to ~ 0.1 M_{sun} is not
significantly different from the typical IMFs in the field and in the nearby
star clusters as was suggested in our earlier work.


title:
$T \to 0$ mean-field population dynamics approach for the random
  3-satisfiability problem

abstract:
  During the past decade, phase-transition phenomena in the random
3-satisfiability (3-SAT) problem has been intensively studied by statistical
physics methods. In this work, we study the random 3-SAT problem by the
mean-field first-step replica-symmetry-broken cavity theory at the limit of
temperature $T\to 0$. The reweighting parameter $y$ of the cavity theory is
allowed to approach infinity together with the inverse temperature $\beta$ with
fixed ratio $r=y / \beta$. Focusing on the the system's space of satisfiable
configurations, we carry out extensive population dynamics simulations using
the technique of importance sampling and we obtain the entropy density $s(r)$
and complexity $\Sigma(r)$ of zero-energy clusters at different $r$ values. We
demonstrate that the population dynamics may reach different fixed points with
different types of initial conditions. By knowing the trends of $s(r)$ and
$\Sigma(r)$ with $r$, we can judge whether a certain type of initial condition
is appropriate at a given $r$ value. This work complements and confirms the
results of several other very recent theoretical studies.


title: Symplectic Homogenization

abstract:
  Let $H(q,p)$ be a Hamiltonian on $T^*T^n$. We show that the sequence
$H_{k}(q,p)=H(kq,p)$ converges for the $\gamma$ topology defined by the author,
to $\bar{H}(p)$. This is extended to the case where only some of the variables
are homogenized, that is the sequence $H(kx,y,q,p)$ where the limit is of the
type ${\bar H}(y,q,p)$ and thus yields an "effective Hamiltonian". We give here
the proof of the convergence, and the first properties of the homogenization
operator, and give some immediate consequences for solutions of Hamilton-Jacobi
equations, construction of quasi-states, etc. We also prove that the function
$\bar H$ coincides with Mather's $\alpha$ function which gives a new proof of
its symplectic invariance proved by P. Bernard. A previous version of this
paper relied on the former "On the capacity of Lagrangians in $T^*T^n$ which
has been withdrawn. The present version of Symplectic Homogenization does not
rely on it anymore.


title:
Risk management for analytical methods: conciliating objectives of
  methods, validation phase and routine decision rules

abstract:
  In the industries that involved either chemistry or biology, such as
pharmaceutical industries, chemical industries or food industry, the analytical
methods are the necessary eyes and hear of all the material produced or used.
If the quality of an analytical method is doubtful, then the whole set of
decision that will be based on those measures is questionable. For those
reasons, being able to assess the quality of an analytical method is far more
than a statistical challenge; it's a matter of ethic and good business
practices. Many regulatory documents have been releases, primarily ICH and FDA
documents in the pharmaceutical industry (FDA, 1995, 1997, 2001) to address
that issue.


title: On the capacity of Lagrangians in the cotangent disc bundle of the torus

abstract:
  The paper is wihdrawn due to a critical error in the argument using the
spectral sequence


title:
Effective symbolic dynamics, random points, statistical behavior,
  complexity and entropy

abstract:
  We consider the dynamical behavior of Martin-L\"of random points in dynamical
systems over metric spaces with a computable dynamics and a computable
invariant measure. We use computable partitions to define a sort of effective
symbolic model for the dynamics. Through this construction we prove that such
points have typical statistical behavior (the behavior which is typical in the
Birkhoff ergodic theorem) and are recurrent. We introduce and compare some
notions of complexity for orbits in dynamical systems and prove: (i) that the
complexity of the orbits of random points equals the Kolmogorov-Sina\"i entropy
of the system, (ii) that the supremum of the complexity of orbits equals the
topological entropy.


title: Probing New Physics from Top Quark FCNC Processes at LHC: A Mini Review

abstract:
  Since the top quark FCNC processes are extremely supressed in the Standard
Model (SM) but could be greatly enhanced in some new physics models, they could
serve as a smoking gun for new physics hunting at the LHC. In this brief review
we summarize the new physics predictions for various top quark FCNC processes
at the LHC by focusing on two typical models: the minimal supersymmetric model
(MSSM) and the topcolor-assisted technicolor (TC2) model. The conclusion is:
(1) Both new physics models can greatly enhance the SM predictions by several
orders; (2) The TC2 model allows for largest enhancement, and for each channel
the maximal prediction is much larger than in the MSSM; (3) Compared with the
$3\sigma$ sensitivity at the LHC, only a couple of channels are accessible for
the MSSM while most channles are accesible for the TC2 model.


title:
Extreme Outer Galaxy: A Laboratory of Star Formation in an Early Epoch
  of Galaxy Formation

abstract:
  The extreme outer Galaxy (EOG) has a very different environment from that in
the solar neighborhood, with low metallicity (less than -0.5 dex), much lower
gas density, and small or no perturbation from spiral arms. The EOG is an
excellent laboratory for the study of the star formation processes that
happened during the formation period of the Galaxy. In particular, the study of
the EOG may shed light on the origin and role of the thick disk, whose
metallicity range matches well with that of the EOG. We show an example of a
molecular cloud in the EOG (Digel's Cloud 2), which is located at R_g ~ 20 kpc
beyond the Outer arm. Based on our NIR and 12CO data as well as HI, radio
continuum, and IRAS data in the archives, we examined the detailed star
formation processes in this unique environment, especially the supernova
triggered star formation, which should have been the major star formation mode
during the halo and thick disk formation.


title: Quantum mechanics of the closed collapsing Universe

abstract:
  Two approaches to quantization of Freedman's closed Universe are compared. In
the first approach, the Shrodinger's norm of the wave function of Universe is
used, and in the second approach, the Klein-Gordon's norm is used. The second
one allows building the quasi-Heisenberg operators as functions of time and
finding their average values. It is shown that the average value of the
Universe scale factor oscillates with damping and approaches to some constant
value at the end of the Universe evolution.


title: Support of Non-separable Multivariate Scaling Function

abstract:
  We make an estimation of the support of a multivariable scaling function for
an arbitrary dilation matrix. We give a method of calculating the values of the
scaling function on a tight set using the knowledge of the size of the support.


title: The discontinuous dynamics and non-autonomous chaos

abstract:
  A multidimensional chaos is generated by a special initial value problem for
the non-autonomous impulsive differential equation. The existence of a chaotic
attractor is shown, where density of periodic solutions, sensitivity of
solutions and existence of a trajectory dense in the set of all orbits are
observed. The chaotic properties of all solutions are discussed. An appropriate
example is constructed, where the intermittency phenomenon is indicated. The
results of the paper are illustrating that impulsive differential equations may
play a special role in the investigation of the complex behavior of dynamical
systems, different from that played by continuous dynamics.


title:
The Role of Type Ia Supernovae in Chemical Evolution I: Lifetime of Type
  Ia Supernovae and Galactic Supernova Rates

abstract:
  We construct a new model of Type Ia Supernovae (SNe Ia), based on the single
degenerate scenario, taking account of the metallicity dependences of the white
dwarf (WD) wind and the mass-stripping effect on the binary companion star. Our
model naturally predicts that the SN Ia lifetime distribution spans a range of
0.1-20 Gyr with the double peaks at ~0.1 and 1 Gyr. While the present SN Ia
rate in elliptical galaxies can be reproduced with the old population of the
red-giants+WD systems, the large SN Ia rate in radio galaxies could be
explained with the young population of the main-sequence+WD systems. Because of
the metallicity effect, i.e., because of the lack of winds from WDs in the
binary systems, the SN Ia rate in the systems with [Fe/H]<-1, e.g., high-z
spiral galaxies, is supposed to be very small. Our SN Ia model can give better
reproduction of the [(alpha, Mn, Zn)/Fe]-[Fe/H] relations in the solar
neighborhood than other models such as the double-degenerate scenario. The
metallicity effect is more strongly required in the presence of the young
population of SNe Ia. We also succeed in reproducing the galactic supernova
rates with their dependence on the morphological type of galaxies, and the
cosmic SN Ia rate history with a peak at z~1. At z>1, the predicted SN Ia rate
decreases toward higher redshifts and SNe Ia will be observed only in the
systems that have evolved with a short timescale of chemical enrichment. This
suggests that the evolution effect in the supernova cosmology can be small.


title: Effective Action of Vacuum: Semiclassical Approach

abstract:
  We present brief, to great extent pedagogical review on renormalization in
curved space-time and of some recent results on the derivation and better
understanding of quantum corrections to the action of gravity. The paper is
mainly devoted to the semiclassical approach, but we also discuss its
importance for quantum gravity and string theory.


title: The Sasaki Cone and Extremal Sasakian Metrics

abstract:
  We study the Sasaki cone of a CR structure of Sasaki type on a given closed
manifold. We introduce an energy functional over the cone, and use its critical
points to single out the strongly extremal Reeb vectors fields. Should one such
vector field be a member of the extremal set, the scalar curvature of a Sasaki
extremal metric representing it would have the smallest $L^2$-norm among all
Sasakian metrics of fixed volume that can represent vector fields in the cone.
We use links of isolated hypersurface singularities to produce examples of
manifolds of Sasaki type, many of these in dimension five, whose Sasaki cone
coincides with the extremal set, and examples where the extremal set is empty.
We end up by proving that a conjecture of Orlik concerning the torsion of the
homology groups of these links holds in the five dimensional case.


title: One loop scattering on D-branes

abstract:
  We analyze one loop scattering amplitudes of the massless states on a stack
of D3-branes. We use the vertex operators that have been obtained in the direct
open string analysis developed in arXiv:0708.3452. The method does not have the
obstacle of the D9 computation which is associated with the appearance of an
$\e$-tensor. The divergence structure is not the same as the D9 brane case.
What makes the analysis deviate from the D9 brane case is that the momenta of
the states have non-zero components only along the brane directions. We ponder
on the possibility that the one-loop divergence may be canceled by adding
additional vertex operators at the tree level. We anticipate that they will be
"exponentiated" to the free string action, with the resulting action to
constitute a non-linear sigma model of the D-brane/AdS geometry.


title:
Characterizations of algebras of rapidly decreasing generalized
  functions

abstract:
  The well-known characterizations of Schwartz space $\mathcal{S}$ of rapidly
decreasing functions is extended to the algebra $\mathcal{G}_{\mathcal{S}}$ of
rapidly decreasing generalized functions and to the algebra $\mathcal{G}_{%
\mathcal{S}}^{\infty}$ of regular rapidly decreasing generalized functions.


title: J/psi Production in sqrt (s_NN)= 200 GeV Cu+Cu Collisions

abstract:
  Yields for J/psi production in Cu+Cu collisions at sqrt (s_NN)= 200 GeV have
been measured by the PHENIX experiment over the rapidity range |y| < 2.2 at
transverse momenta from 0 to beyond 5 GeV/c. The invariant yield is obtained as
a function of rapidity, transverse momentum and collision centrality, and
compared with results in p+p and Au+Au collisions at the same energy. The Cu+Cu
data provide greatly improved precision over existing Au+Au data for J/psi
production in collisions with small to intermediate numbers of participants,
providing a key constraint that is needed for disentangling cold and hot
nuclear matter effects.


title:
Double-peaked Oxygen Lines Are not Rare in Nebular Spectra of
  Core-Collapse Supernovae

abstract:
  Double-peaked oxygen lines in the nebular spectra of two peculiar Type Ib/c
Supernovae (SN Ib/c) have been interpreted as off-axis views of a GRB-jet or
unipolar blob ejections. Here we present late-time spectra of 8 SN IIb, Ib and
Ic and show that this phenomenon is common and should not be so firmly linked
to extraordinary explosion physics. The line profiles are most likely caused by
ejecta expanding with a torus- or disk-like geometry. Double-peaked oxygen
profiles are not necessarily the indicator of a mis-directed GRB jet.


title: Divide and concur: A general approach to constraint satisfaction

abstract:
  Many difficult computational problems involve the simultaneous satisfaction
of multiple constraints which are individually easy to satisfy. Such problems
occur in diffractive imaging, protein folding, constrained optimization (e.g.,
spin glasses), and satisfiability testing. We present a simple geometric
framework to express and solve such problems and apply it to two benchmarks. In
the first application (3SAT, a boolean satisfaction problem), the resulting
method exhibits similar performance scaling as a leading context-specific
algorithm (walksat). In the second application (sphere packing), the method
allowed us to find improved solutions to some old and well-studied optimization
problems. Based upon its simplicity and observed efficiency, we argue that this
framework provides a competitive alternative to stochastic methods such as
simulated annealing.


title: Towards Dark Energy from String-Theory

abstract:
  We discuss vacuum energy in string and M-theory with a focus on heterotic
M-theory. In the latter theory a mechanism is described for maintaining zero
vacuum energy after supersymmetry breaking. Higher-order corrections can be
expected to give a sufficiently small amount of vacuum energy to possibly
account for dark energy.


title: Dynamical fermions in lattice quantum chromodynamics

abstract:
  The thesis will present results in Quantum Chromo Dynamics (QCD) with
dynamical lattice fermions. The topological susceptibilty in QCD is determined,
the calculations are carried out with dynamical overlap fermions. The most
important properties of the quark-gluon plasma phase of QCD are studied, for
which dynamical staggered fermions are used.


title:
Quantum gravitational corrections to the stress-energy tensor around the
  rotating BTZ black hole

abstract:
  Modes emerging out of a collapsing black hole are red-shifted to such an
extent that Hawking radiation at future null infinity consists of modes that
have energies beyond the Planck scale at past null infinity. This indicates
that physics at the Planck scale may modify the spectrum of Hawking radiation
and the associated stress-energy tensor of the quantum field. Recently, it has
been shown that, the T-duality symmetry of string fluctuations along compact
extra dimensions leads to a modification of the standard propagator of point
particles in quantum field theory. At low energies (when compared to the string
scale), the modified propagator is found to behave as though the spacetime
possesses a minimal length, say, $\lp$, which we shall assume to be of the
order of the Planck length. We utilize the duality approach to evaluate the
modified propagator around the rotating Banados-Teitelboim-Zanelli black hole
and show that the propagator is finite in the coincident limit. We compute the
stress-energy tensor associated with the modified Green's function and
illustrate graphically that the quantum gravitational corrections turn out to
be negligibly small. We conclude by briefly commenting on the results we have
obtained.


title:
Modified Friedmann Equation and Inflation in Warped Codimension-two
  Braneworld

abstract:
  We study the Friedmann equation for the warped codimension-two braneworld
background which most closely resembles the Randall-Sundrum model. Extra matter
on the (Planck) 4-brane, with equation of state p_\theta=(\alpha-1)\rho for the
azimuthal pressure, is required to satisfy the junction conditions. For 1 <
\alpha < 5, we show that there are two static solutions to the Einstein
equations for given values of the brane stress-energies. Close to the static
solutions, the relation between Hubble expansion rate H and brane tension
reproduces the standard 4D result for small H, but exhibits unusual deviations
when H is of order the AdS curvature scale. The two static branches for 1
<\alpha < 5 are shown to come together smoothly at a maximum value of H;
however the radion is shown to be unstable in the branch with higher H. This
remains true even with a mechanism for stabilization of the radion, i.e., the
Goldberger-Wise (GW) mechanism, since large enough H overcomes the force of
stabilization. Even in the unstabilized case, cosmological constraints on the
time and spatial variation of Newton's constant are typically satisfied; only
fifth force constraints require the stabilization. For \alpha > 5 the model is
intrinsically stable, without the need for a GW field, and in this case we show
that inflationary predictions can be modified by the nonstandard Friedmann
equation; in particular it is possible to get an upper limit on the spectral
index, large deviations from the consistency condition between the tensor
spectrum and ratio r, and large running of the spectral index even though the
slow roll parameters remain small.


title: Light Nuclei solving Auger puzzles. The Cen-A imprint

abstract:
  Ultra High Energy Cosmic Rays (UHECR) map at 60 EeV have been found recently
by AUGER group spreading anisotropy signatures in the sky. The result have been
interpreted as a manifestation of AGN sources ejecting protons at GZK edges
mostly from Super-galactic Plane. The result is surprising due to the absence
of much nearer Virgo cluster. Moreover, early GZK cut off in the spectra may be
better reconcile with light nuclei (than with protons). In addition a large
group (nearly a dozen) of events cluster suspiciously along Cen-A. Finally,
proton UHECR composition nature is in sharp disagreement with earlier AUGER
claim of a heavy nuclei dominance at 40 EeV. Therefore we interpret here the
signals as mostly UHECR light nuclei (He, Be, B, C, O), very possibly mostly
the lightest (He,Be) ones, ejected from nearest AGN Cen-A, UHECR smeared by
galactic magnetic fields, whose random vertical bending is overlapping with
super-galactic arm. The eventual AUGER misunderstanding took place because of
such a rare coincidence between the Super Galactic Plane (arm) and the smeared
(randomized) signals from Cen-A, bent orthogonally to the Galactic fields. Our
derivation verify the consistence of the random smearing angles for He, Be and
B, C, O, in reasonable agreement with the AUGER main group events around Cen-A.
Only few other rare events are spread elsewhere. The most collimated from Cen-A
are the lightest. The most spread the heavier. Consequently Cen-A is the best
candidate UHE neutrino tau observable by HEAT and AMIGA as enhanced AUGER array
at tens-hundred PeV energy. This model maybe soon tested by new events
clustering around the Cen-A and by composition imprint study.


title: Electrodynamic Metanuclei

abstract:
  A relativistic system of electrically charged fermions and oppositely charged
massive scalars with no self-interactions, is argued to have a long-lived
collective state with a net charge. The charge is residing near the surface of
the spherically-symmetric state, while the interior consists of the condensed
scalars, that are neutralized by the fermions. The metastability is achieved by
competition of the negative pressure of the scalar condensate, against the
positive pressure, mainly due to the fermions. We consider such metanuclei made
of helium-4 nuclei and electrons, below nuclear but above atomic densities.
Typical metanuclei represent charged balls of the atomic size, colossal mass,
electric charge and excess energy. Unlike an ordinary nucleus, the charge of a
metanucleus scales proportionately to its radius. The quantum mechanical decay
through tunneling, and vacuum instability via pair-creation, are both
suppressed for large values of the electric charge. Similar states could also
be composed of other charged (pseudo)scalars, such as the pions, scalar
supersymmetric partners, or in general, spin-0 states of new physics.


title: Exactly solvable Kitaev model in three dimensions

abstract:
  We introduce a spin-1/2 model in three dimensions which is a generalization
of the well-known Kitaev model on a honeycomb lattice. Following Kitaev, we
solve the model exactly by mapping it to a theory of non-interacting fermions
in the background of a static Z_2 gauge field. The phase diagram consists of a
gapped phase and a gapless one, similar to the two-dimensional case.
Interestingly, unlike in the two-dimensional model, in the gapless phase the
gap vanishes on a contour in the k space. Furthermore, we show that the flux
excitations of the gauge field, due to some local constraints, form loop like
structures; such loops exist on a lattice formed by the plaquettes in the
original lattice and is topologically equivalent to the pyrochlore lattice.
Finally, we derive a low-energy effective Hamiltonian that can be used to study
the properties of the excitations in the gapped phase.


title:
Local basis-dependent noise-induced Bell-nonlocality sudden death in
  tripartite systems

abstract:
  We demonstrate that multipartite Bell-inequality violations can be fully
destroyed in finite time in three-qubit systems subject only to the mechanism
of local external asymptotic dephasing noise. This broadens the study of
local-noise-induced sudden death of nonlocal behavior, extending it beyond the
realm of bipartite systems, to which it had previously been restricted.


title: Electron Electric Dipole Moment induced by Octet-Colored Scalars

abstract:
  An appended sector of two octet-colored scalars, each an electroweak doublet,
is an interesting extension of the simple two Higgs doublet model motivated by
the minimal flavor violation. Their rich CP violating interaction gives rise to
a sizable electron electric dipole moment, besides the quark electric dipole
moment via the two-loop contribution of Barr-Zee mechanism.


title: Does intelligence imply contradiction?

abstract:
  Contradiction is often seen as a defect of intelligent systems and a
dangerous limitation on efficiency. In this paper we raise the question of
whether, on the contrary, it could be considered a key tool in increasing
intelligence in biological structures. A possible way of answering this
question in a mathematical context is shown, formulating a proposition that
suggests a link between intelligence and contradiction.
  A concrete approach is presented in the well-defined setting of cellular
automata. Here we define the models of ``observer'', ``entity'',
``environment'', ``intelligence'' and ``contradiction''. These definitions,
which roughly correspond to the common meaning of these words, allow us to
deduce a simple but strong result about these concepts in an unbiased,
mathematical manner. Evidence for a real-world counterpart to the demonstrated
formal link between intelligence and contradiction is provided by three
computational experiments.


title: Products of Factorial Schur Functions

abstract:
  The product of any finite number of factorial Schur functions can be expanded
as a $Z[y]$-linear combination of Schur functions. We give a rule for computing
the coefficients in such an expansion which generalizes a specialization of the
Molev-Sagan rule, which in turn generalizes the classical Littlewood-Richardson
rule.


title: Target Space Duality: The Dilaton Field

abstract:
  Classical target space duality transformations are studied for the non-linear
sigma model with a dilaton field. Working within the framework of the
Hamiltonian formalism we require the duality transformation to be a property
only of the target spaces. We obtain a set of restrictions on the geometrical
data.


title: Target Space Duality III: Potentials

abstract:
  We generalize previous results on target space duality to the case where
there are background fields and the sigma model lagrangian has a potential
function.


title: Single Production of Fourth Family Quarks at the LHC

abstract:
  We study the single production of the fourth family quarks through the
process pp--> Q'jX at the Large Hadron Collider (LHC). We have calculated the
decay widths and branching ratios of the fourth family quarks (b' and t') in
the mass range 300-800 GeV. The cross sections of signal and background
processes have been calculated in a Monte Carlo framework. It is shown that the
LHC can discover single t' and b' quarks if the CKM matrix elements
|V_{t'q}|,|V_{qb'}|>=0.01.


title: Diphoton decays of stoponium at the Large Hadron Collider

abstract:
  If the lighter top squark has no kinematically allowed two-body decays that
conserve flavor, then it will form hadronic bound states. This is required in
models that are motivated by the supersymmetric little hierarchy problem and
obtain the correct thermal relic abundance of dark matter by
top-squark-mediated neutralino annihilations, or by top-squark-neutralino
co-annihilations. It is also found in models that can accommodate
electroweak-scale baryogenesis within minimal supersymmetry. I study the
prospects for detecting scalar stoponium from its diphoton decay mode at the
Large Hadron Collider, updating and correcting previous work. Under favorable
circumstances, this signal will be observable over background, enabling a
uniquely precise measurement of the superpartner masses through a narrow peak
in the diphoton invariant mass spectrum, limited by statistics and
electromagnetic calorimeter resolutions.


title:
Exact Solution of the Landau-Lifshitz Equations for a Radiating Charged
  Particle in The Coulomb Potential

abstract:
  We solve exactly the classical non-relativistic Landau-Lifshitz equations of
motion for a charged particle moving in a Coulomb potential, including
radiation damping. The general solution involves the Painleve transcendent of
type II. It confirms our physical intuition that a negatively charged classical
particle will spiral into the nucleus, supporting the the validity of the
Landau-Lifshitz equation.

categories: hep-th astro-ph math-ph math.DS math.MP nlin.SI physics.plasm-ph


title: Different scenarios of the late stages of condensation

abstract:
  The late stages of the nucleation have been described analytically. The
approximate solution of the Zel'dowich-Folmer-Frenkel equation has been
constructed.


title: Gravity and Matter in Causal Set Theory

abstract:
  The goal of this paper is to propose an approach to the formulation of
dynamics for causal sets and coupled matter fields. We start from the continuum
version of the action for a Klein-Gordon field coupled to gravity, and rewrite
it first using quantities that have a direct correspondent in the case of a
causal set, namely volumes, causal relations, and timelike lengths, as
variables to describe the geometry. In this step, the local Lagrangian density
$L(f;x)$ for a set of fields $f$ is recast into a quasilocal expression
$L_0(f;p,q)$ that depends on pairs of causally related points $p \prec q$ and
is a function of the values of $f$ in the Alexandrov set defined by those
points, and whose limit as $p$ and $q$ approach a common point $x$ is $L(f;x)$.
We then describe how to discretize $L_0(f;p,q)$, and use it to define a
discrete action.


title: From Positive- to Negative-Index Materials: Transitional Phenomena

abstract:
  Electromagnetic field propagation through a transition layer between the
positive-index and negative-index materials with linearly changing dielectric
permittivity and magnetic permeability was investigated. It is shown that at
oblique incidence, the components of both TE- and TM-waves exhibit singular
behavior in the vicinity of the point where both dielectric permittivity and
magnetic permeability are equal to zero. In this case, finite dissipation of
electromagnetic field energy takes place even at infinitesimally small values
of losses. These results are applicable to a broader class of inhomogeneous
metamaterials and may provide a new platform for the realization of low
intensity nonlinear optics in metamaterials.


title: Perturbative theory approaches to the metastable phase decay

abstract:
  The perturbative theory of the nucleation kinetics is analyzed. A new
improvement is suggested and compared with numerical calculations.


title:
Mass Functions of the Active Black Holes in Distant Quasars from the
  Sloan Digital Sky Survey Data Release 3

abstract:
  We present the mass functions of actively accreting supermassive black holes
over the redshift range 0.3 <= z <= 5 for a well-defined, homogeneous sample of
15,180 quasars from the Sloan Digital Sky Survey Data Release 3 (SDSS DR3)
within an effective area of 1644 square degrees. This sample is the most
uniform statistically significant subset available for the DR3 quasar sample.
It was used for the DR3 quasar luminosity function, presented by Richards et
al., and is the only sample suitable for the determination of the SDSS quasar
black hole mass function. The sample extends from i = 15 to i = 19.1 at z less
than about 3 and to i = 20.2 for z greater than about 3. The mass functions
display a rise and fall in the space density distribution of active black holes
at all epochs. Within the uncertainties the high-mass decline is consistent
with a constant slope of beta of about -3.3 at all epochs. This slope is
similar to the bright end slope of the luminosity function for epochs below z =
4. Our tests suggest that the down-turn toward lower mass values is due to
incompleteness of the quasar sample with respect to black hole mass. Further
details and analysis of these mass functions will be presented in forthcoming
papers.


title:
Proper Motions of PSRs B1757-24 and B1951+32: Implications for Ages and
  Associations

abstract:
  Over the last decade, considerable effort has been made to measure the proper
motions of the pulsars B1757-24 and B1951+32 in order to establish or refute
associations with nearby supernova remnants and to understand better the
complicated geometries of their surrounding nebulae. We present proper motion
measurements of both pulsars with the Very Large Array, increasing the time
baselines of the measurements from 3.9 yr to 6.5 yr and from 12.0 yr to 14.5
yr, respectively, compared to previous observations. We confirm the
non-detection of proper motion of PSR B1757-24, and our measurement of (mu_a,
mu_d) = (-11 +/- 9, -1 +/- 15) mas yr^{-1} confirms that the association of PSR
B1757-24 with SNR G5.4-1.2 is unlikely for the pulsar characteristic age of
15.5 kyr, although an association can not be excluded for a significantly
larger age. For PSR B1951+32, we measure a proper motion of (mu_a, mu_d) =
(-28.8 +/- 0.9, -14.7 +/- 0.9) mas yr^{-1}, reducing the uncertainty in the
proper motion by a factor of two compared to previous results. After correcting
to the local standard of rest, the proper motion indicates a kinetic age of ~51
kyr for the pulsar, assuming it was born near the geometric center of the
supernova remnant. The radio-bright arc of emission along the pulsar proper
motion vector shows time-variable structure, but moves with the pulsar at an
approximately constant separation ~2.5", lending weight to its interpretation
as a shock structure driven by the pulsar.


title: Our Place in a Vast Universe

abstract:
  Scientists have measured that what we can see of space is about a billion
billion billion billion billion billion billion billion billion (10^81) times
the volume of an average human. Inflationary theory suggests that the entirety
of space is vastly larger. Quantum theory suggests that there are very many
different copies of space of the same basic kind as ours (same laws of
physics). String theory further suggests that there may be many different kinds
of space. This whole collection of googolplexes of galaxies within each of
googolplexes of different spaces within each of googols of kinds of space makes
up an enormously vast universe or multiverse or holocosm. Human beings seem to
be an incredibly small part of this universe in terms of physical size. Yet in
other ways, we may still be a very significant part of our vast universe.

categories: physics.gen-ph gr-qc hep-th physics.hist-ph


title: Does God So Love the Multiverse?

abstract:
  Monotheistic religions such as Judaism and Christianity affirm that God loves
all humans and created them in His image. However, we have learned from Darwin
that we were not created separately from other life on earth. Some Christians
opposed Darwinian evolution because it undercut certain design arguments for
the existence of God. Today there is the growing idea that the fine-tuned
constants of physics might be explained by a multiverse with very many
different sets of constants of physics. Some Christians oppose the multiverse
for similarly undercutting other design arguments for the existence of God.
However, undercutting one argument does not disprove its conclusion. Here I
argue that multiverse ideas, though not automatically a solution to the
problems of physics, deserve serious consideration and are not in conflict with
Christian theology as I see it.
  Although this paper as a whole is {\it addressed} primarily to Christians in
cosmology and others interested in the relation between the multiverse and
theism, it should be of {\it interest} to a wider audience. Proper subsets of
this paper are addressed to other Christians, to other theists, to other
cosmologists, to other scientists, and to others interested in the multiverse
and theism.


title: Scientific and Philosophical Challenges to Theism

abstract:
  Modern science developed within a culture of Judeo-Christian theism, and
science and theism have generally supported each other. However, there are
certainly areas in both science and religion that puzzle me. Here I outline
some puzzles that have arisen for me concerning everlasting life, human free
will, divine free will, the simplicity and probability of God, the problem of
evil, and the converse problem of elegance.


title:
Fermion Mass Hierarchy and Proton Stability from Non-anomalous U(1)_F in
  SUSY SU(5)

abstract:
  We present a realistic supersymmetric SU(5) model combined with a
non-anomalous U(1)_F symmetry. We find a set of U(1)_F charges which
automatically lead to the realistic mass hierarchy and mixing patterns for
quarks, leptons and neutrinos. All gauge anomalies, including the [U(1)_F]^3
anomaly, are cancelled in our model without invoking the Green-Schwarz
mechanism or having exotic fields. Proton decay mediated by dimension 5
operators is automatically suppressed in our model, because the scale set by
the largest right-handed neutrino mass is much less than the GUT scale.


title: A mathematical formalism for agent-based modeling

abstract:
  Many complex systems can be modeled as multiagent systems in which the
constituent entities (agents) interact with each other. The global dynamics of
such a system is determined by the nature of the local interactions among the
agents. Since it is difficult to formally analyze complex multiagent systems,
they are often studied through computer simulations. While computer simulations
can be very useful, results obtained through simulations do not formally
validate the observed behavior. Thus, there is a need for a mathematical
framework which one can use to represent multiagent systems and formally
establish their properties. This work contains a brief exposition of some known
mathematical frameworks that can model multiagent systems. The focus is on one
such framework, namely that of finite dynamical systems. Both, deterministic
and stochastic versions of this framework are discussed. The paper contains a
sampling of the mathematical results from the literature to show how finite
dynamical systems can be used to carry out a rigorous study of the properties
of multiagent systems and it is shown how the framework can also serve as a
universal model for computation.