title:
Full-wave finite-difference time-domain simulation of electromagnetic
  cloaking structures

abstract:
  This paper proposes a radial dependent dispersive finite-difference
time-domain method for the modelling of electromagnetic cloaking structures.
The permittivity and permeability of the cloak are mapped to the Drude
dispersion model and taken into account in dispersive FDTD simulations.
Numerical simulations demonstrate that under ideal conditions, objects placed
inside the cloak are `invisible' to external electromagnetic fields. However
for the simplified cloak based on linear transformations, the back scattering
has a similar level to the case of a PEC cylinder without any cloak, rendering
the object still being `visible'. It is also demonstrated numerically that the
simplified cloak based on high-order transformations can indeed improve the
cloaking performance.


title:
Spectral properties of adjacency and distance matrices for various
  networks

abstract:
  The spectral properties of the adjacency (connectivity) and distance matrix
for various types of networks: exponential, scale-free (Albert--Barabasi) and
classical random ones (Erdos--Renyi) are evaluated. The graph spectra for dense
graph in the Erdos-Renyi model are derived analytically.


title: Alternatives for Testing Total Dual Integrality

abstract:
  In this paper we provide characterizing properties of TDI systems, among
others the following: a system of linear inequalities is TDI if and only if its
coefficient vectors form a Hilbert basis, and there exists a test-set for the
system's dual integer programs where all test vectors have positive entries
equal to 1. Reformulations of this provide relations between computational
algebra and integer programming and they contain Applegate, Cook and
McCormick's sufficient condition for the TDI property and Sturmfels' theorem
relating toric initial ideals generated by square-free monomials to unimodular
triangulations. We also study the theoretical and practical efficiency and
limits of the characterizations of the TDI property presented here.
  In the particular case of set packing polyhedra our results correspond to
endowing the weak perfect graph theorem with an additional, computationally
interesting, geometric feature: the normal fan of the stable set polytope of a
perfect graph can be refined into a regular triangulation consisting only of
unimodular cones.


title:
Determinant form of modulation equations for the semiclassical focusing
  Nonlinear Schr\" odinger equation

abstract:
  We derive a determinant formula for the WKB exponential of singularly
perturbed Zakharov-Shabat system that corresponds to the semiclassical (zero
dispersion) limit of the focusing Nonlinear Schr\" odinger equation. The
derivation is based on the Riemann-Hilbert Problem (RHP) representation of the
WKB exponential. We also prove its independence of the branchpoints of the
corresponding hyperelliptic surface assuming that the modulation equations are
satisfied.


title:
Non-thermal high-energy emissions from black holes by a relativistic
  capillary effect

abstract:
  Gravitational spin-orbit interactions induce a relativistic capillary effect
along open magnetic flux-tubes, that join the event horizon of a spinning black
hole to infinity. It launches a leptonic outflow from electron-positron pairs
created near the black hole, which terminates in an ultra-relativistic Alfv\'en
wave. Upstream to infinity, it maintains a clean linear accelerator for baryons
picked-up from an ionized ambient environment. We apply it to the origin of
UHECRs and to spectral energy correlations in cosmological gamma-ray bursts.
The former is identified with the Fermi-level of the black hole event horizon,
the latter with a correlation $E_pT_{90}^{1/2}\simeq E_\gamma$ in HETE-II and
Swift data.


title: Optimal two-value zero-mean disintegration of zero-mean random variables

abstract:
  For any continuous zero-mean random variable (r.v.) X, a reciprocating
function r is constructed, based only on the distribution of X, such that the
conditional distribution of X given the (at-most-)two-point set {X,r(X)} is the
zero-mean distribution on this set; in fact, a more general construction
without the continuity assumption is given in this paper, as well as a large
variety of other related results, including characterizations of the
reciprocating function and modeling distribution asymmetry patterns. The
mentioned disintegration of zero-mean r.v.'s implies, in particular, that an
arbitrary zero-mean distribution is represented as the mixture of two-point
zero-mean distributions; moreover, this mixture representation is most
symmetric in a variety of senses. Somewhat similar representations -- of any
probability distribution as the mixture of two-point distributions with the
same skewness coefficient (but possibly with different means) -- go back to
Kolmogorov; very recently, Aizenman et al. further developed such
representations and applied them to (anti-)concentration inequalities for
functions of independent random variables and to spectral localization for
random Schroedinger operators. One kind of application given in the present
paper is to construct certain statistical tests for asymmetry patterns and for
location without symmetry conditions. Exact inequalities implying conservative
properties of such tests are presented. These developments extend results
established earlier by Efron, Eaton, and Pinelis under a symmetry condition.


title: Memory Imperfections in Atomic Ensemble-based Quantum Repeaters

abstract:
  Quantum repeaters promise to deliver long-distance entanglement overcoming
noise and loss in realistic quantum channels. A promising class of repeaters,
based on atomic ensemble quantum memories and linear optics, follow the
proposal by Duan et al [Nature 414, 413, 2001]. Here we analyse this protocol
in terms of a very general model for the quantum memories employed. We derive
analytical expressions for scaling of entanglement with memory imperfections,
dark counts, loss and distance, and apply our results to two specific quantum
memory protocols. Our methods apply to any quantum memory with an interaction
Hamiltonian at most quadratic in the mode operators and are in principle
extendible to more recent modifications of the original DLCZ proposal.


title: Variational Integrators for Maxwell's Equations with Sources

abstract:
  In recent years, two important techniques for geometric numerical
discretization have been developed. In computational electromagnetics, spatial
discretization has been improved by the use of mixed finite elements and
discrete differential forms. Simultaneously, the dynamical systems and
mechanics communities have developed structure-preserving time integrators,
notably variational integrators that are constructed from a Lagrangian action
principle. Here, we discuss how to combine these two frameworks to develop
variational spacetime integrators for Maxwell's equations. Extending our
previous work, which first introduced this variational perspective for
Maxwell's equations without sources, we also show here how to incorporate free
sources of charge and current.


title: Matrix factorizations and colored MOY graphs

abstract:
  The contents of this 98-page paper have been subsumed into the 191-page paper
"A colored sl(N)-homology for links in S^3" (arXiv:0907.0695v1 [math.GT]), in
which we further develop the theory and use it to construct a colored link
homology.


title: Large deviations principles of Non-Freidlin-Wentzell type

abstract:
  Generalized Large deviation principles was developed for Colombeau-Ito SDE
with a random coefficients. We is significantly expand the classical theory of
large deviations for randomly perturbed dynamical systems developed by Freidlin
and Wentzell.Using SLDP approach, jumps phenomena, in financial markets, also
is considered. Jumps phenomena, in financial markets is explained from the
first principles, without any reference to Poisson jump process. In contrast
with a phenomenological approach we explain such jumps phenomena from the first
principles, without any reference to Poisson jump process.


title: Half Metallicity in Hybrid BCN Nanoribbons

abstract:
  We report a first-principles electronic-structure calculation on C and BN
hybrid zigzag nanoribbons. We find that half-metallicity can arise in the
hybrid nanoribbons even though stand-alone C or BN nanoribbon possesses a
finite band gap. This unexpected half-metallicity in the hybrid nanos-tructures
stems from a competition between the charge and spin polarizations, as well as
from the pi orbital hybridization between C and BN. Our results point out a
possibility of making spintronic devices solely based on nanoribbons and a new
way of designing metal-free half metals.


title:
Real singular Del Pezzo surfaces and 3-folds fibred by rational curves,
  II

abstract:
  Let W -> X be a real smooth projective 3-fold fibred by rational curves. J.
Koll\'ar proved that, if W(R) is orientable, then a connected component N of
W(R) is essentially either a Seifert fibred manifold or a connected sum of lens
spaces. Our Main Theorem, answering in the affirmative three questions of
Koll\'ar, gives sharp estimates on the number and the multiplicities of the
Seifert fibres and on the number and the torsions of the lens spaces when X is
a geometrically rational surface. When N is Seifert fibred over a base orbifold
F, our result generalizes Comessatti's theorem on smooth real rational
surfaces: F cannot be simultaneously orientable and of hyperbolic type. We show
as a surprise that, unlike in Comessatti's theorem, there are examples where F
is non orientable, of hyperbolic type, and X is minimal. The technique we use
is to construct Seifert fibrations as projectivized tangent bundles of Du Val
surfaces.


title: Parity-violating nucleon-nucleon interaction from different approaches

abstract:
  Two-pion exchange parity-violating nucleon-nucleon interactions from recent
effective field theories and earlier fully covariant approaches are
investigated. The potentials are compared with the idea to obtain better
insight on the role of low-energy constants appearing in the effective field
theory approach and the convergence of this one in terms of a perturbative
series. The results are illustrated by considering the longitudinal asymmetry
of polarized protons scattering off protons, $\vec{p}+p -> p+p$, and the
asymmetry of the photon emission in radiative capture of polarized neutrons by
protons, $\vec{n}+p -> d+\gamma$.


title: Koszul duality and modular representations of semi-simple Lie algebras

abstract:
  In this paper we prove that if G is a connected, simply-connected,
semi-simple algebraic group over an algebraically closed field of sufficiently
large characteristic, then all the blocks of the restricted enveloping algebra
(Ug)_0 of the Lie algebra g of G can be endowed with a Koszul grading
(extending results of Andersen, Jantzen and Soergel). We also give information
about the Koszul dual rings. Our main tool is the localization theory in
positive characteristic developed by Bezrukavnikov, Mirkovic and Rumynin.


title: OJ 287: New Testing Ground for General Relativity and Beyond

abstract:
  The supermassive short period black hole binary OJ287 is discussed as a new
precision testing ground for general relativity and alternate gravity theories.
Like in the case of binary pulsars, the relativistic gravity effects are
considerably larger than in the solar system. For instance the observed orbital
precession is forty degrees per period. The gravitational radiation energy
losses are comparable to typical blazar electromagnetic radiation emission and
it is about ten orders larger than that of the binary pulsar with significant
orbit shrinking already apparent in the light curves. This already tests
Einstein gravity to a few percent for objects at cosmological distances.
Constraints on alternate gravity theories as well as possible detection of long
term effects of dark matter and dark energy on this system are described.


title:
Magnetic field dependence of vortex activation energy: a comparison
  between MgB2, NbSe2 and Bi2Sr2Ca2Cu3O10 superconductors

abstract:
  The dissipative mechanism at low current density is compared in three
different classes of superconductors. This is achieved by measurement of
resistance as a function of temperature and magnetic field in clean
polycrystalline samples of NbSe2, MgB2 and Bi2Sr2Ca2Cu3O10 superconductors.
Thermally activated flux flow behavior is clearly identified in bulk MgB2.
While the activation energy at low fields for MgB2 is comparable to
Bi2Sr2Ca2Cu3O10, its field dependence follows a parabolic behavior unlike a
power law dependence seen in Bi2Sr2Ca2Cu3O10. We analyze our results based on
the Kramer's scaling for grain boundary pinning in MgB2and NbSe2.


title:
A special value of Ruelle L-function and the theorem of Cheeger and
  Muller

abstract:
  We will show a theorem of a type of Cheeger and Muller for a noncompact
complete hyperbolic threefold of finite vulume. As an application we will
compute a special value of Ruelle L-function at the origin for a unitary local
system which is cuspidal.


title: Cosmological Inflation: A Personal Perspective

abstract:
  We present a brief review of Cosmological Inflation from the personal
perspective of the author who almost 30 years ago proposed a way of resolving
the problem of Cosmological Horizon by employing certain notions and
developments from the field of High Energy Physics. Along with a brief
introduction of the Horizon and Flatness problems of standard cosmology, this
lecture concentrates on personal reminiscing of the notions and ideas that
prevailed and influenced the author's thinking at the time. The lecture then
touches upon some more recent developments related to the subject and concludes
with some personal views concerning the direction that the cosmology field has
taken in the past couple of decades and certain speculations some notions that
may indicate future directions of research.


title: Defect production in non-linear quench across a quantum critical point

abstract:
  We show that the defect density $n$, for a slow non-linear power-law quench
with a rate $\tau^{-1}$ and an exponent $\alpha>0$, which takes the system
through a critical point characterized by correlation length and dynamical
critical exponents $\nu$ and $z$, scales as $n \sim \tau^{-\alpha \nu d/
(\alpha z\nu+1)}$ [$n \sim (\alpha g^{(\alpha-1)/\alpha}/\tau)^{\nu
d/(z\nu+1)}$], if the quench takes the system across the critical point at time
$t=0$ [$t=t_0 \ne 0$], where $g$ is a non-universal constant and $d$ is the
system dimension. These scaling laws constitute the first theoretical results
for defect production in non-linear quenches across quantum critical points and
reproduce their well-known counterpart for linear quench ($\alpha=1$) as a
special case. We supplement our results with numerical studies of well-known
models and suggest experiments to test our theory.


title: Finite-type invariants for curves on surfaces

abstract:
  This study defines finite-type invariants for curves on surfaces and reveals
the construction of these finite-type invariants for stable homeomorphism
classes of curves on compact oriented surfaces without boundaries. These
invariants are a higher-order generalisation of a part of Arnold's invariants
that are first-order invariants for plane immersed curves. The invariants in
this theory are developed using the word theory proposed by Turaev.


title: On Algebraic Expressions of Sigma Functions for (n,s) Curves

abstract:
  An expression of the multivariate sigma function associated with a
(n,s)-curve is given in terms of algebraic integrals. As a corollary the first
term of the series expansion around the origin of the sigma function is
directly proved to be the Schur function determined from the gap sequence at
infinity.


title:
BCS-BEC crossover and effects of density fluctuations in a two-component
  Fermi gas loaded on an optical lattice

abstract:
  We investigate the superfluid phase transition in a gas of Fermi atoms loaded
on a three-dimensional optical lattice. When the lattice potential is strong,
this system can be well described by an attractive Hubbard model. In this
model, we calculate the superfluid phase transition temperature Tc, including
both superfluid and (spin and charge) density fluctuations within the
self-consistent t-matrix theory and fluctuation exchange approximation,
respectively. Since we treat these fluctuations in a consistent manner, our
theory satisfies the required particle-hole symmetry over the entire BCS-BEC
crossover region. We show that charge density fluctuations compete against
superfluid fluctuations near the half-filling, leading to the suppression of
Tc. As a result, the maximum Tc is obtained away the half-filling. Since the
strong density fluctuations originate from the nesting property of the Fermi
surface at the half filling (which is absent in a uniform gas with no lattice
potential), our results would be useful in considering lattice effects on
strong-coupling superfluidity.


title: Empirical distribution of k-word matches in biological sequences

abstract:
  This study focuses on an alignment-free sequence comparison method: the
number of words of length k shared between two sequences, also known as the D_2
statistic. The advantages of the use of this statistic over alignment-based
methods are firstly that it does not assume that homologous segments are
contiguous, and secondly that the algorithm is computationally extremely fast,
the runtime being proportional to the size of the sequence under scrutiny.
Existing applications of the D_2 statistic include the clustering of related
sequences in large EST databases such as the STACK database. Such applications
have typically relied on heuristics without any statistical basis. Rigorous
statistical characterisations of the distribution of D_2 have subsequently been
undertaken, but have focussed on the distribution's asymptotic behaviour,
leaving the distribution of D_2 uncharacterised for most practical cases. The
work presented here bridges these two worlds to give usable approximations of
the distribution of D_2 for ranges of parameters most frequently encountered in
the study of biological sequences.


title:
Brief Studying of Oil Crust Thickness Measurement by Gamma Ray Compton
  Scattering Approach

abstract:
  The relation between the scattering cross section and the scattering angle
under different energy condition of the incident rays is analyzed. From Compton
scattering total cross section, a formula of quasi-parallel incident gamma ray
Compton scattering response function versus to thickness of oil crust target is
derived and analyzed. Numerical fitting result shows that there exists cubic
relation between response function of gamma ray and thickness of oil crust. Key
words: Gamma ray, Compton scattering, oil crust


title:
Nonaxisymmetric Effects in the Black Hole Accretion Inviscid
  Hydrodynamics: Formation and Evolution of a Tilted Torus

abstract:
  We report on the fourth phase of our study of slightly rotating accretion
flows onto black holes. The main new element of this study is that we used
fully three dimensional (3-D) numerical simulations. We consider hydrodynamics
of inviscid accretion flows. We assume a spherically symmetric density
distribution at the outer boundary, but brake the flow symmetry by introducing
a small, latitude-dependent angular momentum. We also consider cases where
angular momentum at large radii is latitude- and azimuth-dependent. For the
latitude-dependent angular momentum, 3-D simulations confirm axisymmetric
results: the material that has too much angular momentum to be accreted forms a
thick torus near the equator. Consequently, accretion proceeds only through the
polar funnel, and the mass accretion rate through the funnel is constrained by
the size and shape of the torus, not by the outer conditions. In 3-D
simulations, we found that the torus precesses, even for axisymmetric
conditions at large radii. For the latitude and azimuth-dependent angular
momentum, the non-rotating gas near the equator can also significantly affect
the evolution of the rotating gas. In particular, it may prevent the formation
of a proper torus (i.e. its closing, in the azimuthal direction). In such
models, the mass accretion rate is only slightly less than the corresponding
Bondi rate.


title:
Tangential Convergence of bounded harmonic functions on Generalized
  Siegel domains

abstract: We extend a result of Hulanicki- Ricci to all H-type groups.


title:
Theoretical study of the electronic states of hollandite vanadate
  K$_2$V$_8$O$_{16}$

abstract:
  We consider electronic properties of hollandite vanadate K$_2$V$_8$O$_{16}$,
a one-dimensional zigzag-chain system of $t_{2g}$ orbitals in a mixed valent
state. We first calculate the Madelung energy and obtain the relative stability
of several charge-ordering patterns to determine the most stable one that is
consistent with the observed superlattice structure. We then develop the
strong-coupling perturbation theory to derive the effective spin-orbit
Hamiltonian, starting from the triply-degenerate $t_{2g}$ orbitals in the
VO$_6$ octahedral structure. We apply an exact-diagonalization technique on
small clusters of this Hamiltonian and obtain the orbital-ordering pattern and
spin structures in the ground state. We thereby discuss the electronic and
magnetic properties of K$_2$V$_8$O$_{16}$ including predictions on the outcome
of future experimental studies.


title:
Sub-Terahertz Monochromatic Transduction with Semiconductor Acoustic
  Nanodevices

abstract:
  We demonstrate semiconductor superlattices or nanocavities as narrow band
acoustic transducers in the sub-terahertz range. Using picosecond ultrasonics
experiments in the transmission geometry with pump and probe incident on
opposite sides of the thick substrate, phonon generation and detection
processes are fully decoupled. Generating with the semiconductor device and
probing on the metal, we show that both superlattices and nanocavities generate
spectrally narrow wavepackets of coherent phonons with frequencies in the
vicinity of the zone center and time durations in the nanosecond range,
qualitatively different from picosecond broadband pulses usually involved in
picosecond acoustics with metal generators. Generating in the metal and probing
on the nanoacoustic device, we furthermore evidence that both nanostructured
semiconductor devices may be used as very sensitive and spectrally selective
detectors.


title: Properties and applications of dual reduction

abstract:
  The dual reduction process, introduced by Myerson, allows to reduce a finite
game into a smaller dimensional game such that any equilibrium of the reduced
game is an equilibrium of the original game. This holds both for Nash
equilibrium and correlated equilibrium. We present examples of applications of
dual reduction and argue that this is a useful tool to study Nash equilibria
and correlated equilibria. We then investigate its properties.


title: An Ant-Based Model for Multiple Sequence Alignment

abstract:
  Multiple sequence alignment is a key process in today's biology, and finding
a relevant alignment of several sequences is much more challenging than just
optimizing some improbable evaluation functions. Our approach for addressing
multiple sequence alignment focuses on the building of structures in a new
graph model: the factor graph model. This model relies on block-based
formulation of the original problem, formulation that seems to be one of the
most suitable ways for capturing evolutionary aspects of alignment. The
structures are implicitly built by a colony of ants laying down pheromones in
the factor graphs, according to relations between blocks belonging to the
different sequences.


title:
GraphStream: A Tool for bridging the gap between Complex Systems and
  Dynamic Graphs

abstract:
  The notion of complex systems is common to many domains, from Biology to
Economy, Computer Science, Physics, etc. Often, these systems are made of sets
of entities moving in an evolving environment. One of their major
characteristics is the emergence of some global properties stemmed from local
interactions between the entities themselves and between the entities and the
environment. The structure of these systems as sets of interacting entities
leads researchers to model them as graphs. However, their understanding
requires most often to consider the dynamics of their evolution. It is indeed
not relevant to study some properties out of any temporal consideration. Thus,
dynamic graphs seem to be a very suitable model for investigating the emergence
and the conservation of some properties. GraphStream is a Java-based library
whose main purpose is to help researchers and developers in their daily tasks
of dynamic problem modeling and of classical graph management tasks: creation,
processing, display, etc. It may also be used, and is indeed already used, for
teaching purpose. GraphStream relies on an event-based engine allowing several
event sources. Events may be included in the core of the application, read from
a file or received from an event handler.


title: Inverse operator representations of quantum phase

abstract:
  We define quantum phase in terms of inverses of annihilation and creation
operators. We show that like Susskind - Glogower phase operators, the measured
phase operators and the unitary phase operators can be defined in terms of the
inverse operators. However, for the unitary phase operator the Hilbert space
includes the negative energy states. The quantum phase in inverse operator
representation may find the applications in the field of quantum optics
particularly in the squeezed states.


title: Properties of higher criticism under strong dependence

abstract:
  The problem of signal detection using sparse, faint information is closely
related to a variety of contemporary statistical problems, including the
control of false-discovery rate, and classification using very high-dimensional
data. Each problem can be solved by conducting a large number of simultaneous
hypothesis tests, the properties of which are readily accessed under the
assumption of independence. In this paper we address the case of dependent
data, in the context of higher criticism methods for signal detection.
Short-range dependence has no first-order impact on performance, but the
situation changes dramatically under strong dependence. There, although higher
criticism can continue to perform well, it can be bettered using methods based
on differences of signal values or on the maximum of the data. The relatively
inferior performance of higher criticism in such cases can be explained in
terms of the fact that, under strong dependence, the higher criticism statistic
behaves as though the data were partitioned into very large blocks, with all
but a single representative of each block being eliminated from the dataset.


title: Smallness of fundamental groups for arithmetic schemes

abstract:
  The smallness is proved of fundamental groups for arithmetic schemes. This is
a higher dimensional analogue of the Hermite-Minkowski theorem. We also refer
to the case of varieties over finite fields. As an application, we prove
certain finiteness results of representations of the fundamental groups over
algebraically closed fields.


title:
Delay of Squeezing and Entanglement using Electromagnetically Induced
  Transparency in a Vapour Cell

abstract:
  We demonstrate experimentally the delay of squeezed light and entanglement
using Electromagnetically Induced Transparency (EIT) in a rubidium vapour cell.
We perform quadrature amplitude measurements of the probe field and find no
appreciable excess noise from the EIT process. From an input squeezing of 3.1
dB at low sideband frequencies, we observed the survival of 2 dB of squeezing
at the EIT output. By splitting the squeezed light on a beam-splitter, we
generated biased entanglement between two beams. We transmit one of the
entangled beams through the EIT cell and correlate the quantum statistics of
this beam with its entangled counterpart. We experimentally observed a 2 $\mu$s
delay of the biased entanglement and obtained a preserved degree of
wavefunction inseparability of 0.71, below the unity value for separable
states.


title: Hyperspaces with the Attouch-Wets topology homeomorphic to $l_2$

abstract:
  It is shown that the hyperspace of all nonempty closed subsets $\Cld_{AW}(X)$
of a separable metric space $X$ endowed with the Attouch-Wets topology is
homeomorphic to a separable Hilbert space if and only if the completion of $X$
is proper, locally connected and contains no bounded connected component, $X$
is topologically complete and not locally compact at infinity.


title: A family of solvable non-rational conformal field theories

abstract:
  We find non-rational conformal field theories in two dimensions, which are
solvable due to their correlators being related to correlators of Liouville
theory. Their symmetry algebra consists of the dimension-two stress-energy
tensor, and two dimension-one fields. The theories come in a family with two
parameters: the central charge c and a complex number m. The special case m=0
corresponds to Liouville theory (plus two free bosons), and m=1 corresponds to
the H3+ model. In the case m=2 we show that the correlators obey third-order
differential equations, which are associated to a subsingular vector of the
symmetry algebra.


title:
Endogenous post-stratification in surveys: classifying with a
  sample-fitted model

abstract:
  Post-stratification is frequently used to improve the precision of survey
estimators when categorical auxiliary information is available from sources
outside the survey. In natural resource surveys, such information is often
obtained from remote sensing data, classified into categories and displayed as
pixel-based maps. These maps may be constructed based on classification models
fitted to the sample data. Post-stratification of the sample data based on
categories derived from the sample data (``endogenous post-stratification'')
violates the standard post-stratification assumptions that observations are
classified without error into post-strata, and post-stratum population counts
are known. Properties of the endogenous post-stratification estimator are
derived for the case of a sample-fitted generalized linear model, from which
the post-strata are constructed by dividing the range of the model predictions
into predetermined intervals. Design consistency of the endogenous
post-stratification estimator is established under mild conditions. Under a
superpopulation model, consistency and asymptotic normality of the endogenous
post-stratification estimator are established, showing that it has the same
asymptotic variance as the traditional post-stratified estimator with fixed
strata. Simulation experiments demonstrate that the practical effect of first
fitting a model to the survey data before post-stratifying is small, even for
relatively small sample sizes.


title: Spin-torque shot noise in magnetic tunnel junctions

abstract:
  Spin polarized current may transfer angular momentum to a ferromagnet,
resulting in a spin-torque phenomenon. At the same time the shot noise,
associated with the current, leads to a non-equilibrium stochastic force acting
on the ferromagnet. We derive stochastic version of Landau-Lifshitz-Gilbert
equation for a magnetization of a ''free'' ferromagnetic layer in contact with
a ''fixed'' ferromagnet. We solve the corresponding Fokker-Planck equation and
show that the non-equilibrium noise yields to a non-monotonous dependence of
the precession spectrum linewidth on the current.


title: Strong decays of heavy-light mesons in a chiral quark model

abstract:
  We carry out a systematic study of the heavy-light meson strong decays in a
chiral quark model. For the $S$-wave vectors ($D^*(2007)$, $D^{*\pm}(2010)$),
$P$-wave scalars ($D^*_0(2400)$, $B^*_0(5730)$) and tensors ($D^*_2(2460)$,
$D^*_{s2}(2573)$), we obtain results in good agreement with the experimental
data. For the axial vectors $D_1(2420)$ and $D_1^\prime(2430)$, a state mixing
scheme between $1^1P_1$ and $1^3P_1$ is favored with a mixing angle
$\phi\simeq-(55\pm 5)^\circ$, which is consistent with previous theoretical
predictions. The same mixing scheme also applies to $D_{s1}(2460)$ and
$D_{s1}(2536)$ that accounts for the narrow width of the $D_{s1}(2536)$ and its
dominant decay into $D^*K$. For $B_1(5725)$ and $B_1^\prime(5732)$, such a
mixing explains well the decay width of the former but leads to an even broader
$B_1^\prime(5732)$. Predictions for the strange-bottom axial vectors are also
made. For the undetermined meson $D^*(2640)$, we find that they fit in well the
radially excited state $2^3S_1$ according to its decay mode. The newly observed
$D^*_{sJ}(2860)$ strongly favors the $D$-wave excited state $1^3D_3$. For
$D^*_{sJ}(2632)$ and $D^*_{sJ}(2690)$, we find they are difficult to fit in any
$D_s$ excitations in that mass region, if the experimental data are accurate.
Theoretical predictions for decay modes of those unobserved states as
multiplets of 2S and 1D waves are also presented, which should be useful for
further experimental search for those states.


title: Formal meromorphic functions on manifolds of finite type

abstract:
  It is shown that a real-valued formal meromorphic function on a formal
generic submanifold of finite Kohn-Bloom-Graham type is necessarily constant.


title:
Estimating the birth period of pulsars through GLAST/LAT observations of
  their wind nebulae

abstract:
  In this paper we show that the high energy $\gamma$-ray flux in the GeV
domain from mature pulsar wind nebulae (PWN) scales as the change in rotational
kinetic energy $I(\Omega_0^2-\Omega^2)/2$ since birth, rather than the present
day spindown power $I\Omega\dot{\Omega}$. This finding holds as long as the
lifetime of inverse Compton emitting electrons exceeds the age of the system.
For a typical $\gamma^{-2}$ electron spectrum, the predicted flux depends
mostly on the pulsar birth period, conversion efficiency of spindown power to
relativistic electrons and distance to the PWN, so that first order estimates
of the birth period can be assessed from {\it GLAST/LAT} observations of PWN.
For this purpose we derive an analytical expression. The associated
(``uncooled'') photon spectral index in the GeV domain is expected to cluster
around $\sim 1.5$, which is bounded at low energies by an intrinsic spectral
break, and at higher energies by a second spectral break where the photon index
steepens to $\sim 2$ due to radiation losses. Mature PWN are expected to have
expanded to sizes larger than currently known PWN, resulting in relatively low
magnetic energy densities and hence survival of GeV inverse Compton emitting
electrons. Whereas such a PWN may be radio and X-ray quiet in synchrotron
radiation, it may still be detectable as a {\it GLAST/LAT} source as a result
of the relic electrons in the PWN.


title: Overholonomicity of overconvergent $F$-isocrystals over smooth varieties

abstract:
  We prove the overholonomicity of overconvergent $F$-isocrystals over smooth
varieties.
  This implies that the notions of overholonomicity and devissability in
overconvergent $F$-isocrystals are equivalent. Then the overholonomicity is
stable under tensor products. So, the overholonomicity gives a $p$-adic
cohomology stable under Grothendieck's cohomological operations.


title: New Dipole Penguin Contribution to K --> pi pi decays

abstract:
  We point out that the standard chromomagnetic penguin dipole operator has a
counterpart corresponding to off-shell momenta for external quarks. By
employing the chiral quark model, we show that this new dipole penguin operator
has the same bosonisation as the standard Q_6 operator. Accordingly, this new
operator enlarges by ~ 5 % the referent Q_6 contribution, which gives the
dominant contribution to the CP-violating ratio epsilon'/epsilon and also gives
an important contribution to the Delta I = 1/2 amplitude.


title: Fundamental questions relating to ion conduction in disordered solids

abstract:
  A number of basic scientific questions relating to ion conduction in
homogeneously disordered solids are discussed. The questions deal with how to
define the mobile ion density, what can be learned from electrode effects, what
is the ion transport mechanism, the role of dimensionality, and what are the
origins of the mixed-alkali effect, of time-temperature superposition, and of
the nearly-constant loss. Answers are suggested to some of these questions, but
the main purpose of the paper is to draw attention to the fact that this field
of research still presents several fundamental challenges.


title:
Locally D-optimal designs based on a class of composed models resulted
  from blending Emax and one-compartment models

abstract:
  A class of nonlinear models combining a pharmacokinetic compartmental model
and a pharmacodynamic Emax model is introduced. The locally D-optimal (LD)
design for a four-parameter composed model is found to be a saturated
four-point uniform LD design with the two boundary points of the design space
in the LD design support. For a five-parameter composed model, a sufficient
condition for the LD design to require the minimum number of sampling time
points is derived. Robust LD designs are also investigated for both models. It
is found that an LD design with $k$ parameters is equivalent to an LD design
with $k-1$ parameters if the linear parameter in the two composed models is a
nuisance parameter. Assorted examples of LD designs are presented.


title:
Phase diagram of quark-antiquark and diquark condensates in the
  3-dimensional Gross Neveu model with the 4-component spinor representation

abstract:
  We construct the phase diagram of the quark-antiquark and diquark condensates
at finite temperature and density in the 2 + 1 dimensional (3D) two flavor
massless Gross Neveu (GN) model with the 4-component quarks. In contrast to the
case of the 2-component quarks, there appears the coexisting phase of the
quark-antiquark and diquark condensates. This is the crucial difference between
the 2-component and 4-component quark cases in the 3D GN model. The coexisting
phase is also seen in the 4D Nambu Jona-Lasinio model. Then we see that the 3D
GN model with the 4-component quarks bears closer resemblance to the 4D Nambu
Jona-Lasinio model.


title: Monodromy and Tangential Center Problems

abstract:
  We consider families of Abelian integrals arising from perturbations of
planar Hamiltonian systems. The tangential center focus problem asks for the
conditions under which these integrals vanish identically. The problem is
closely related to the monodromy problem, which asks when the monodromy of a
vanishing cycle generates the whole homology of the level curves of the
Hamiltonian. We solve both these questions for the case when the Hamiltonian is
hyperelliptic. As a side-product, we solve the corresponding problems for the
"0-dimensional Abelian integrals" defined by Gavrilov and Movasati.


title:
Asymptotic properties of false discovery rate controlling procedures
  under independence

abstract:
  We investigate the performance of a family of multiple comparison procedures
for strong control of the False Discovery Rate ($\mathsf{FDR}$). The
$\mathsf{FDR}$ is the expected False Discovery Proportion ($\mathsf{FDP}$),
that is, the expected fraction of false rejections among all rejected
hypotheses. A number of refinements to the original Benjamini-Hochberg
procedure [1] have been proposed, to increase power by estimating the
proportion of true null hypotheses, either implicitly, leading to one-stage
adaptive procedures [4, 7] or explicitly, leading to two-stage adaptive (or
plug-in) procedures [2, 21]. We use a variant of the stochastic process
approach proposed by Genovese and Wasserman [11] to study the fluctuations of
the $\mathsf{FDP}$ achieved with each of these procedures around its
expectation, for independent tested hypotheses. We introduce a framework for
the derivation of generic Central Limit Theorems for the $\mathsf{FDP}$ of
these procedures, characterizing the associated regularity conditions, and
comparing the asymptotic power of the various procedures. We interpret recently
proposed one-stage adaptive procedures [4, 7] as fixed points in the iteration
of well known two-stage adaptive procedures [2, 21].


title: Combinatorial properties of the numbers of tableaux of bounded height

abstract:
  We introduce an infinite family of lower triangular matrices $\Gamma^{(s)}$,
where $\gamma_{n,i}^s$ counts the standard Young tableaux on $n$ cells and with
at most $s$ columns on a suitable subset of shapes. We show that the entries of
these matrices satisfy a three-term row recurrence and we deduce recursive and
asymptotic properties for the total number $\tau_s(n)$ of tableaux on $n$ cells
and with at most $s$ columns.


title: Continuous-wave, singly resonant OPO at 3 \mu m

abstract:
  We report a continuous-wave, singly resonant optical parametric oscillator
(SRO) at 3.3 \mu m by using a MgO:PPLN crystal as the gain medium and a
Yb-fiber laser at 1.064 \mu m as the pump source. At 25-W pump power, the SRO
generated 7.4 and 0.2-W powers at 1.57 and 3.3 \mu m, respectively. The 3.3-\mu
m SRO has a single-longitudinal-mode output with a ~5-MHz linewidth. We
observed thermally induced optical bistability in the SRO due to the slight
absorption of the 3.3-\mu m wave in the MgO:PPLN crystal. Pump depletion was
clamped at 60% while spectral hole burning was observed in the depleted pump.


title:
Entanglement and fidelity signatures of quantum phase transitions in
  spin liquid models

abstract:
  We consider a spin ladder model which is known to have matrix product states
as exact ground states with spin liquid characteristics. The model has two
critical-point transitions at the parameter values u=0 and infinity. We study
the variation of entanglement and fidelity measures in the ground states as a
function of u and specially look for signatures of quantum phase transitions at
u=0 and infinity. The two different entanglement measures used are S(i) (the
single-site von Neumann entropy) and S(i, j) (the two-body entanglement). At
the quantum critical point (QCP) u=infinity, the entanglement measure E (=S(i)
,S(i, j)) vanishes but remains nonzero at the other QCP u=0. The first and
second derivatives of E with respect to the parameter u and the entanglement
length associated with S(i, j) are further calculated to identify special
features, if any, near the QCPs. We further determine the GS fidelity F and a
quantity ln(D) related to the second derivative of F and show that these
quantities calculated for finite-sized systems are good indicators of QPTs
occurring in the infinite system.


title:
Beyond the Dynamic Density Functional theory for steady currents.
  Application to driven colloidal particles in a channel

abstract:
  Motivated by recent studies on the dynamics of colloidal solutions in narrow
channels, we consider the steady state properties of an assembly of non
interacting particles subject to the action of a traveling potential moving at
a constant speed while the solvent is modeled by a heat bath at rest in the
laboratory frame. Since the description, we propose here, takes into account
the inertia of the colloidal particles it is necessary to consider the
evolution of both positions and momenta and study the governing equation for
the one-particle phase-space distribution. We first derive the asymptotic form
of its solutions as an expansion in Hermite polynomials and their generic
properties, such as the force and energy balance and then we particularize our
study to the case of an inverted parabolic potential barrier. We obtain
numerically the steady state density and temperature profile and show that the
expansion is rapidly convergent for large values of the friction constant and
small drifting velocities. The present results on the one hand confirm the
previous studies based on the dynamic density functional theory (DDFT) when the
friction constant is large, on the other hand display effects such as the
presence of a wake behind the barrier and a strong inhomogeneity in the
temperature field which are beyond the DDFT description.


title:
Electron density diagnostic for hot plasmas in coronal regime by using
  B-like ions

abstract:
  Line ratio of $3d-2p$ transition lines in boron-like spectra of Si X, S XII,
Ar XIV and Fe XXII has been investigated. Collisional-radiative model
calculations reveal that the line ratio is sensitive to the electron density in
ranges of $n_{\rm e}=4.0\times10^7-3.0\times10^{10}$ cm$^{-3}$,
$4.0\times10^8-3.0\times10^{11}$ cm$^{-3}$, $3.0\times10^9-4.0\times10^{12}$
cm$^{-3}$ and $2.0\times10^{12}-3.0\times10^{15}$ cm$^{-3}$, respectively. This
complements the K-shell diagnostics of helium-like ions. By comparison between
the prediction and the measured values, effective electron densities in the
electron beam ion trap (EBIT) plasmas performed by Lepson and collaborators at
Lawrence Livermore EBIT, are estimated to be $n_{\rm
e}=3.4^{+0.8}_{-0.6}\times10^{10}$ cm$^{-3}$ and
$5.6^{+1.0}_{-1.1}\times10^{10}$ cm$^{-3}$ for sulphur and argon plasmas. In
case of argon, a good agreement is shown with the actual electron density
derived from N VI K-shell spectrum. We further explore the $3d-2p$ transition
lines of Si X and S XII in the stellar coronal spectra measured with the Low
Energy Transmission Grating Spectrometer combined with High Resolution Camera
on board the {\it Chandra X-ray Observatory}. The constrained electron
densities show a good agreement with the those determined from C V and O VII
K-shell spectra.


title:
Intertwining symmetry algebras of quantum superintegrable systems on the
  hyperboloid

abstract:
  A class of quantum superintegrable Hamiltonians defined on a two-dimensional
hyperboloid is considered together with a set of intertwining operators
connecting them. It is shown that such intertwining operators close a su(2,1)
Lie algebra and determine the Hamiltonians through the Casimir operators. By
means of discrete symmetries a broader set of operators is obtained closing a
so(4,2) algebra. The physical states corresponding to the discrete spectrum of
bound states as well as the degeneration are characterized in terms of unitary
representations of su(2,1) and so(4,2).


title: A complementary design theory for doubling

abstract:
  Chen and Cheng [Ann. Statist. 34 (2006) 546--558] discussed the method of
doubling for constructing two-level fractional factorial designs. They showed
that for $9N/32\le n\le 5N/16$, all minimum aberration designs with $N$ runs
and $n$ factors are projections of the maximal design with $5N/16$ factors
which is constructed by repeatedly doubling the $2^{5-1}$ design defined by
$I=ABCDE$. This paper develops a general complementary design theory for
doubling. For any design obtained by repeated doubling, general identities are
established to link the wordlength patterns of each pair of complementary
projection designs. A rule is developed for choosing minimum aberration
projection designs from the maximal design with $5N/16$ factors. It is further
shown that for $17N/64\le n\le 5N/16$, all minimum aberration designs with $N$
runs and $n$ factors are projections of the maximal design with $N$ runs and
$5N/16$ factors.


title: Jump estimation in inverse regression

abstract:
  We consider estimation of a step function $f$ from noisy observations of a
deconvolution $\phi*f$, where $\phi$ is some bounded $L_1$-function. We use a
penalized least squares estimator to reconstruct the signal $f$ from the
observations, with penalty equal to the number of jumps of the reconstruction.
Asymptotically, it is possible to correctly estimate the number of jumps with
probability one. Given that the number of jumps is correctly estimated, we show
that the corresponding parameter estimates of the jump locations and jump
heights are $n^{-1/2}$ consistent and converge to a joint normal distribution
with covariance structure depending on $\phi$, and that this rate is minimax
for bounded continuous kernels $\phi$. As special case we obtain the asymptotic
distribution of the least squares estimator in multiphase regression and
generalisations thereof. In contrast to the results obtained for bounded
$\phi$, we show that for kernels with a singularity of order $O(|
x|^{-\alpha}),1/2<\alpha<1$, a jump location can be estimated at a rate of
$n^{-1/(3-2\alpha)}$, which is again the minimax rate. We find that these rate
do not depend on the spectral information of the operator rather on its
localization properties in the time domain. Finally, it turns out that adaptive
sampling does not improve the rate of convergence, in strict contrast to the
case of direct regression.


title:
A new method to study energy-dependent arrival delays on photons from
  astrophysical sources

abstract:
  Correlations between the arrival time and the energy of photons emitted in
outbursts of astrophysical objects are predicted in quantum and classical
gravity scenarios and can appear as well as a result of complex acceleration
mechanisms responsible for the photon emission at the source. This paper
presents a robust method to study such correlations that overcomes some
limitations encountered in previous analysis, and is based on a Likelihood
function built from the physical picture assumed for the emission, propagation
and detection of the photons. The results of the application of this method to
a flare of Markarian 501 observed by the MAGIC telescope are presented. The
method is also applied to a simulated dataset based on the flare of PKS
2155-304 recorded by the H.E.S.S. observatory to proof its applicability to
complex photon arrival time distributions.


title:
Asymptotic inference in some heteroscedastic regression models with long
  memory design and errors

abstract:
  This paper discusses asymptotic distributions of various estimators of the
underlying parameters in some regression models with long memory (LM) Gaussian
design and nonparametric heteroscedastic LM moving average errors. In the
simple linear regression model, the first-order asymptotic distribution of the
least square estimator of the slope parameter is observed to be degenerate.
However, in the second order, this estimator is $n^{1/2}$-consistent and
asymptotically normal for $h+H<3/2$; nonnormal otherwise, where $h$ and $H$ are
LM parameters of design and error processes, respectively. The
finite-dimensional asymptotic distributions of a class of kernel type
estimators of the conditional variance function $\sigma^2(x)$ in a more general
heteroscedastic regression model are found to be normal whenever $H<(1+h)/2$,
and non-normal otherwise. In addition, in this general model,
$\log(n)$-consistency of the local Whittle estimator of $H$ based on pseudo
residuals and consistency of a cross validation type estimator of $\sigma^2(x)$
are established. All of these findings are then used to propose a lack-of-fit
test of a parametric regression model, with an application to some currency
exchange rate data which exhibit LM.


title: Algorithmic barriers from phase transitions

abstract:
  For many random Constraint Satisfaction Problems, by now, we have
asymptotically tight estimates of the largest constraint density for which they
have solutions. At the same time, all known polynomial-time algorithms for many
of these problems already completely fail to find solutions at much smaller
densities. For example, it is well-known that it is easy to color a random
graph using twice as many colors as its chromatic number. Indeed, some of the
simplest possible coloring algorithms already achieve this goal. Given the
simplicity of those algorithms, one would expect there is a lot of room for
improvement. Yet, to date, no algorithm is known that uses $(2-\epsilon) \chi$
colors, in spite of efforts by numerous researchers over the years.
  In view of the remarkable resilience of this factor of 2 against every
algorithm hurled at it, we believe it is natural to inquire into its origin. We
do so by analyzing the evolution of the set of $k$-colorings of a random graph,
viewed as a subset of $\{1,...,k\}^{n}$, as edges are added. We prove that the
factor of 2 corresponds in a precise mathematical sense to a phase transition
in the geometry of this set. Roughly, the set of $k$-colorings looks like a
giant ball for $k \ge 2 \chi$, but like an error-correcting code for $k \le
(2-\epsilon) \chi$. We prove that a completely analogous phase transition also
occurs both in random $k$-SAT and in random hypergraph 2-coloring. And that for
each problem, its location corresponds precisely with the point were all known
polynomial-time algorithms fail. To prove our results we develop a general
technique that allows us to prove rigorously much of the celebrated 1-step
Replica-Symmetry-Breaking hypothesis of statistical physics for random CSPs.


title:
Groups from Cyclic Infrastructures and Pohlig-Hellman in Certain
  Infrastructures

abstract:
  In discrete logarithm based cryptography, a method by Pohlig and Hellman
allows solving the discrete logarithm problem efficiently if the group order is
known and has no large prime factors. The consequence is that such groups are
avoided. In the past, there have been proposals for cryptography based on
cyclic infrastructures. We will show that the Pohlig-Hellman method can be
adapted to certain cyclic infrastructures, which similarly implies that certain
infrastructures should not be used for cryptography. This generalizes a result
by M\"uller, Vanstone and Zuccherato for infrastructures obtained from
hyperelliptic function fields.
  We recall the Pohlig-Hellman method, define the concept of a cyclic
infrastructure and briefly describe how to obtain such infrastructures from
certain function fields of unit rank one. Then, we describe how to obtain
cyclic groups from discrete cyclic infrastructures and how to apply the
Pohlig-Hellman method to compute absolute distances, which is in general a
computationally hard problem for cyclic infrastructures. Moreover, we give an
algorithm which allows to test whether an infrastructure satisfies certain
requirements needed for applying the Pohlig-Hellman method, and discuss whether
the Pohlig-Hellman method is applicable in infrastructures obtained from number
fields. Finally, we discuss how this influences cryptography based on cyclic
infrastructures.


title:
Relativistic description of the double charmonium production in $e^+e^-$
  annihilation

abstract:
  New evaluation of the relativistic effects in the double production of
$S$-wave charmonium states is performed on the basis of perturbative QCD and
the relativistic quark model. The main improvement consists in the exact
account of properties of the relativistic meson wave functions. For the gluon
and quark propagators entering the production vertex function we use a
truncated expansion in the ratio of the relative quark momenta to the
center-of-mass energy $\sqrt{s}$ up to the second order. The exact relativistic
treatment of the wave functions makes all such second order terms convergent,
thus allowing the reliable calculation of their contributions to the production
cross section. Compared to the nonrelativistic calculation we obtain a
significant increase of the cross sections for the $S$-wave double charmonium
production. This brings new theoretical results in good agreement with the
available experimental data.


title:
Equilibrium-charge diagram of single quantum dot in an axial magnetic
  field

abstract:
  The chemical potential of a quantum dot parabolically confining one or two
electrons is studied in an axial magnetic field. The number of electrons in the
dot is given by combination between the chemical potentials of the dots and
leads. The equilibrium-charge diagram of the dot is obtained in the phase space
determined by the magnetic field and the lead voltage. The influence of the
magnetic field on the electron number and the electron transport is discussed.
The dependence of the electron number on the magnetic fields and the lead
voltage is clear at a glance in the equilibrium-charge diagram. Moreover, the
diagram is a compact tool to show the condition of the electron transport.


title: The signed Eulerian numbers on involutions

abstract:
  We define an analogue of signed Eulerian numbers $f_{n,k}$ for involutions of
the symmetric group and derive some combinatorial properties of this sequence.
In particular, we exhibit both an explicit formula and a recurrence for
$f_{n,k}$ arising from the properties of its generating function.


title:
A possible mechanism of ultrafast amorphization in phase-change memory
  alloys: an ion slingshot from the crystalline to amorphous position

abstract:
  We propose that the driving force of an ultrafast crystalline-to-amorphous
transition in phase-change memory alloys are strained bonds existing in the
(metastable) crystalline phase. For the prototypical example of GST, we
demonstrate that upon breaking of long Ge-Te bond by photoexcitation Ge ion
shot from an octahedral crystalline to a tetrahedral amorphous position by the
uncompensated force of strained short bonds. Subsequent lattice relaxation
stabilizes the tetrahedral surroundings of the Ge atoms and ensures the
long-term stability of the optically induced phase.


title: The deconfining phase transition in D=2+1 SU(N) gauge theories

abstract:
  We study the deconfining transition of SU(N) gauge theories in 2+1 dimensions
for N ranging between N=2 and N=8. We confirm that the transition is second
order for N<4 and first order for N>4. For the more delicate case of SU(4) all
our evidence points to the transition being weakly first order. After
extrapolating to the continuum limit, we obtain a deconfining temperature that
can be well fitted by Tc/sqrt(sigma) = 0.9026(23) + 0.880(43)/N^2 for all N.


title: Comparison of the Discriminatory Processor Sharing Policies

abstract:
  Discriminatory Processor Sharing policy introduced by Kleinrock is of a great
interest in many application areas, including telecommunications, web
applications and TCP flow modelling. Under the DPS policy the job priority is
controlled by the vector of weights. Verifying the vector of weights it is
possible to modify the service rates of the jobs and optimize system
characteristics. In the present paper we present the results concerning the
comparison of two DPS policies with different weight vectors. We show the
monotonicity of the expected sojourn time of the system depending on the weight
vector under certain condition on the system. Namely, the system has to consist
of classes with means which are quite different from each other. The classes
with similar means can be organized together and considered as one class, so
the given restriction can be overcame.


title: A spatial correlation analysis for a toroidal universe

abstract:
  The spatial cross-correlation function xi_C recently introduced by Roukema et
al. is applied to the equilateral toroidal topology of the universe. Several
CMB maps based on the WMAP 5yr data are analysed and a small likelihood in
favour of a torus cell is revealed. The results are compared to ten LCDM
simulations which point to a high false positive rate of the
spatial-correlation-function method such that a firm conclusion cannot be
drawn.


title: Extensions of an $AC(\sigma)$ functional calculus

abstract:
  On a reflexive Banach space $X$, if an operator $T$ admits a functional
calculus for the absolutely continuous functions on its spectrum $\sigma(T)
\subseteq \mathbb{R}$, then this functional calculus can always be extended to
include all the functions of bounded variation. This need no longer be true on
nonreflexive spaces. In this paper, it is shown that on most classical
separable nonreflexive spaces, one can construct an example where such an
extension is impossible. Sufficient conditions are also given which ensure that
an extension of an $\AC$ functional calculus is possible for operators acting
on families of interpolation spaces such as the $L^p$ spaces.


title: Uniform saddlepoint approximations for ratios of quadratic forms

abstract:
  Ratios of quadratic forms in correlated normal variables which introduce
noncentrality into the quadratic forms are considered. The denominator is
assumed to be positive (with probability 1). Various serial correlation
estimates such as least-squares, Yule--Walker and Burg, as well as
Durbin--Watson statistics, provide important examples of such ratios. The
cumulative distribution function (c.d.f.) and density for such ratios admit
saddlepoint approximations. These approximations are shown to preserve
uniformity of relative error over the entire range of support. Furthermore,
explicit values for the limiting relative errors at the extreme edges of
support are derived.


title: Spin-charge separation in transport through Luttinger liquid rings

abstract:
  We investigate how the different velocities characterizing the low-energy
spectral properties and the low-temperature thermodynamics of one-dimensional
correlated electron systems (Luttinger liquids) affect the transport properties
of ring-like conductors. The Luttinger liquid ring is coupled to two
noninteracting leads and pierced by a magnetic flux. We study the flux
dependence of the linear conductance. It shows a dip structure which is
governed by the interaction dependent velocities. Our work extends an earlier
study which was restricted to rather specific choices of the interaction
parameters. We show that for generic repulsive two-particle interactions the
number of dips can be estimated from the ratio of the charge current velocity
and the spin velocity. In addition, we clarify the range of validity of the
central approximation underlying the earlier study.


title:
Off-the-energy-shell pp scattering in the exclusive proton knockout
  12C(p,2p) reaction at 392 MeV

abstract:
  The triple differential cross section (TDX) for the 12C(p,2p) proton knockout
reaction from the 1p3/2 single-particle state measured at 392 MeV is
investigated by nonrelativistic distorted wave impulse approximation (DWIA)
with accurate treatment of the kinematics of the colliding two protons and
effects of in-medium modification to the matrix elements of the proton-proton
(pp) effective interaction. Some simplifying approximations made in previous
studies with DWIA are examined. The off-the-energy-shell matrix elements of the
pp effective interaction are shown to play an essential role in describing the
asymmetric two peaks of the measured TDX corresponding to the kinematics in
which the momentum transfer is fixed.


title: On $(P_5,\bar{P_5})$-sparse graphs and other families

abstract:
  We extend the notion of $P_4$-sparse graphs previously introduced by
{\scshape Ho\`ang} by considering $\mathcal{F}$-sparse graphs were
$\mathcal{F}$ denotes a finite set of graphs on $p$ vertices. Thus we obtain
some results on $(P_5,\bar{P_5})$-sparse graphs already known on
$(P_5,\bar{P_5})$-free graphs. Finally we completely describe the structure of
$(P_5,\bar{P_5}, bull$)-sparse graphs, it follows that those graphs have
bounded clique-width.


title:
Typical kernel size and number of sparse random matrices over GF(q) - a
  statistical physics approach

abstract:
  Using methods of statistical physics, we study the average number and kernel
size of general sparse random matrices over GF(q), with a given connectivity
profile, in the thermodynamical limit of large matrices. We introduce a mapping
of $GF(q)$ matrices onto spin systems using the representation of the cyclic
group of order q as the q-th complex roots of unity. This representation
facilitates the derivation of the average kernel size of random matrices using
the replica approach, under the replica symmetric ansatz, resulting in saddle
point equations for general connectivity distributions. Numerical solutions are
then obtained for particular cases by population dynamics. Similar techniques
also allow us to obtain an expression for the exact and average number of
random matrices for any general connectivity profile. We present numerical
results for particular distributions.


title:
Search for Large Extra Dimensions via Single Photon plus Missing Energy
  Final States at sqrt(s) = 1.96 TeV

abstract:
  We report on a search for large extra dimensions in a data sample of
approximately 1 fb^{-1} of ppbar collisions at sqrt(s) = 1.96 TeV. We
investigate Kaluza-Klein graviton production with a photon and missing
transverse energy in the final state. At the 95% C.L. we set limits on the
fundamental mass scale M_{D} from 884 GeV to 778 GeV for two to eight extra
dimensions.


title: Minimal Stable Sets in Tournaments

abstract:
  We propose a systematic methodology for defining tournament solutions as
extensions of maximality. The central concepts of this methodology are maximal
qualified subsets and minimal stable sets. We thus obtain an infinite hierarchy
of tournament solutions, which encompasses the top cycle, the uncovered set,
the Banks set, the minimal covering set, the tournament equilibrium set, the
Copeland set, and the bipartisan set. Moreover, the hierarchy includes a new
tournament solution, the minimal extending set, which is conjectured to refine
both the minimal covering set and the Banks set.


title: Local Indices of a Vector Field at an Isolated Zero on the Boundary

abstract:
  We define two types of local indices of a vector field at an isolated zero on
the boundary, and prove Poincare-Hopf-type index theorems for certain vector
fields on a compact smooth manifold which have only isolated zeros.


title:
Noise invoked resonances near a homoclinic bifurcation in the glow
  discharge plasma

abstract:
  Stochastic Resonance (SR) and Coherence Resonance (CR) have been studied
experimentally in the discharge plasma close to a homoclinic bifurcation. For
the SR phenomena, it is observed that a superimposed subthreshold periodic
signal can be recovered via stochastic modulations of the discharge voltage.
Furthermore, it is realized that even in the absence of a subthreshold
deterministic signal, the system dynamics can be recovered and optimized using
noise. This effect is defined as CR in the literature. In the present
experiments, induction of SR and CR are quantified using the Absolute Mean
Difference (AMD) and Normalized Variance (NV) techniques respectively. AMD is a
new statistical tool to quantify regularity in the stochastic resonance and is
independent of lag.


title: Graph products of right cancellative monoids

abstract:
  Our first main result shows that a graph product of right cancellative
monoids is itself right cancellative. If each of the component monoids
satisfies the condition that the intersection of two principal left ideals is
either principal or empty, then so does the graph product. Our second main
result gives a presentation for the inverse hull of such a graph product. We
then specialise to the case of the inverse hulls of graph monoids, obtaining
what we call polygraph monoids. Among other properties, we observe that
polygraph monoids are F*-inverse. This follows from a general characterisation
of those right cancellative monoids with inverse hulls that are F*-inverse.


title: Surface waves in uniaxially anisotropic left-handed materials

abstract:
  The linear and nonlinear surface waves propagating along the interface
separating isotropic conventional and uniaxially anisotropic left-handed
materials is investigated. The conditions of the existence of surface TM-modes
is determined. It is shown that surface waves can be formed when the components
of the permittivity and permeability tensors of the uniaxially anisotropic
left-handed materials are simultaneously negative. A transition layer
sandwiched between connected media is described using a model of a
two-dimensional gas of quantum dots. Explicit analytical expressions for a
surface optical soliton of self-induced transparency in the presence of single
and biexciton transitions depends on the magnetic permeability of the
left-handed medium, are given with realistic parameters which can be reached in
current experiments. It is shown that the sign of the total energy flow of the
surface soliton depends on the parameters of the quantum dots and connected
media.


title: 29 W High Power CW Supercontinuum Source

abstract:
  A 29 W CW supercontinuum spanning from 1.06 to 1.67 um is generated in a
short length of PCF with two zero dispersion wavelengths. The continuum has the
highest spectral power density, greater than 50 mW/nm up to 1.4 um, reported to
date. The use of a short length of PCF enables the continuum to expand beyond
the water loss at 1.4 um. The dynamics of the continuum evolution are studied
experimentally and numerically with close attention given to the effects of the
water loss and the second zero dispersion wavelength.


title: Hyper-domains in exchange bias micro-stripe pattern

abstract:
  A combination of experimental techniques, e.g. vector-MOKE magnetometry, Kerr
microscopy and polarized neutron reflectometry, was applied to study the field
induced evolution of the magnetization distribution over a periodic pattern of
alternating exchange bias stripes. The lateral structure is imprinted into a
continuous ferromagnetic/antiferromagnetic exchange-bias bi-layer via laterally
selective exposure to He-ion irradiation in an applied field. This creates an
alternating frozen-in interfacial exchange bias field competing with the
external field in the course of the re-magnetization. It was found that in a
magnetic field applied at an angle with respect to the exchange bias axis
parallel to the stripes the re-magnetization process proceeds via a variety of
different stages. They include coherent rotation of magnetization towards the
exchange bias axis, precipitation of small random (ripple) domains, formation
of a stripe-like alternation of the magnetization, and development of a state
in which the magnetization forms large hyper-domains comprising a number of
stripes. Each of those magnetic states is quantitatively characterized via the
comprehensive analysis of data on specular and off-specular polarized neutron
reflectivity. The results are discussed within a phenomenological model
containing a few parameters which can readily be controlled by designing
systems with a desired configuration of magnetic moments of micro- and
nano-elements.


title:
Massive stars exploding in a He-rich circumstellar medium III. SN
  2006jc: IR echoes from new and old dust in the progenitor CSM

abstract:
  We present near- and mid-infrared (IR) photometric data of the Type Ibn
supernova (SN) 2006jc obtained with the United Kingdom Infrared Telescope
(UKIRT), the Gemini North Telescope, and the Spitzer Space Telescope between
days 86 and 493 post-explosion. We find that the IR behaviour of SN 2006jc can
be explained as a combination of IR echoes from two manifestations of
circumstellar material. The bulk of the near-IR emission arises from an IR echo
from newly-condensed dust in a cool dense shell (CDS) produced by the
interaction of the ejecta outward shock with a dense shell of circumstellar
material ejected by the progenitor in a luminous blue variable (LBV) like
outburst about two years prior to the SN explosion. The CDS dust mass reaches a
modest 3.0 x 10^(-4) M(solar) by day 230. While dust condensation within a CDS
formed behind the ejecta inward shock has been proposed before for one event
(SN 1998S), SN 2006jc is the first one showing evidence for dust condensation
in a CDS formed behind the ejecta outward shock in the circumstellar material.
At later epochs, a substantial and growing contribution to the IR fluxes arises
from an IR echo from pre-existing dust in the progenitor wind. The mass of the
pre-existing CSM dust is at least ~8 x 10^(-3) M(solar). This work therefore
adds to the evidence that mass-loss from the progenitors of core-collapse
supernovae could be a major source of dust in the universe. However, yet again,
we see no direct evidence that the explosion of a supernova produces anything
other than a very modest amount of dust.


title: K^0 pi^0 Sigma^+ and K^*0 Sigma^+ photoproduction off the proton

abstract:
  The exclusive reactions $\gamma p \to K^{*0} \Sigma^+(1189)$ and $\gamma p
\to K^{0} \pi^{0}\Sigma^+(1189)$, leading to the p 4$\pi^{0}$ final state, have
been measured with a tagged photon beam for incident energies from threshold up
to 2.5 GeV. The experiment has been performed at the tagged photon facility of
the ELSA accelerator (Bonn). The Crystal Barrel and TAPS detectors were
combined to a photon detector system of almost 4$\pi$ geometrical acceptance.
Differential and total cross sections are reported. At energies close to the
threshold, a flat angular distribution has been observed for the reaction
$\gamma p\to K^{0} \pi^{0}\Sigma^+$ suggesting dominant s-channel production.
$\Sigma^*(1385)$ and higher lying hyperon states have been observed. An
enhancement in the forward direction in the angular distributions of the
reaction $\gamma p \to K^{*0}\Sigma^+$ indicates a $t$-channel exchange
contribution to the reaction mechanism. The experimental data are in reasonable
agreement with recent theoretical predictions.


title: Ergodicity and mixing of W*-dynamical systems in terms of joinings

abstract:
  We study characterizations of ergodicity, weak mixing and strong mixing of
W*-dynamical systems in terms of joinings and subsystems of such systems.
Ergodic joinings and Ornstein's criterion for strong mixing are also discussed
in this context.


title: The interstellar medium towards the Ara OB1 region

abstract:
  We present high resolution (R ~ 4 km/s) absorption measurements of the
interstellar NaI and CaII lines measured towards 14 early-type stars of
distance 123 pc - 1650 pc, located in the direction of the Ara OB1 stellar
cluster. The line profiles can broadly be split into four distinct groupings of
absorption component velocity, and we have attempted to identify an origin and
distance to each of these interstellar features. For gas with absorption
covering the velocity range -10 km/s < V_helio < +10 km/s, we can identify the
absorbing medium with local gas belonging to the Lupus-Norma interstellar
cavity located between 100 and 485 pc in this galactic direction. Gas with
velocities spanning the range -20 km/s < V_helio < +20 km/s is detected towards
stars with distances of 570-800 pc. We identify a wide-spread interstellar
feature at V_helio ~ -15 km/s with the expanding HI shell called GSH 337+00-05,
which is now placed at a distance of ~530 pc.


title:
Another Non-segregated Blue Straggler Population in a Globular Cluster:
  the Case of NGC 2419

abstract:
  We have used a combination of ACS-HST high-resolution and wide-field SUBARU
data in order to study the Blue Straggler Star (BSS) population over the entire
extension of the remote Galactic globular cluster NGC 2419. The BSS population
presented here is among the largest ever observed in any stellar system, with
more than 230 BSS in the brightest portion of the sequence. The radial
distribution of the selected BSS is essentially the same as that of the other
cluster stars. In this sense the BSS radial distribution is similar to that of
omega Centauri and unlike that of all Galactic globular clusters studied to
date, which have highly centrally segregated distributions and, in most cases,
a pronounced upturn in the external regions. As in the case of omega Centauri,
this evidence indicates that NGC 2419 is not yet relaxed even in the central
regions. This observational fact is in agreement with estimated half-mass
relaxation time, which is of the order of the cluster age.


title: A class of hypergraphs that generalizes chordal graphs

abstract:
  In this paper we introduce a class of hypergraphs that we call chordal. We
also extend the definition of triangulated hypergraphs, given in \cite{VT}, so
that a triangulated hypergraph, according to our definition, is a natural
generalization of a chordal (rigid circuit) graph. In \cite{F1}, Fr\"oberg
shows that the chordal graphs corresponds to graph algebras, $R/I(\mc{G})$,
with linear resolutions. We extend Fr\"oberg's method and show that the
hypergraph algebras of generalized chordal hypergraphs, a class of hypergraphs
that includes the chordal hypergraphs, have linear resolutions. The definitions
we give, yield a natural higher dimensional version of the well known flag
property of simplicial complexes. We obtain what we call $d$-flag complexes.


title: Two-dimensional array of microtraps with atomic shift register on a chip

abstract:
  Arrays of trapped atoms are the ideal starting point for developing registers
comprising large numbers of physical qubits for storing and processing quantum
information. One very promising approach involves neutral atom traps produced
on microfabricated devices known as atom chips, as almost arbitrary trap
configurations can be realised in a robust and compact package. Until now,
however, atom chip experiments have focused on small systems incorporating
single or only a few individual traps. Here we report experiments on a
two-dimensional array of trapped ultracold atom clouds prepared using a simple
magnetic-film atom chip. We are able to load atoms into hundreds of tightly
confining and optically resolved array sites. We then cool the individual atom
clouds in parallel to the critical temperature required for quantum degeneracy.
Atoms are shuttled across the chip surface utilising the atom chip as an atomic
shift register and local manipulation of atoms is implemented using a focused
laser to rapidly empty individual traps.


title:
Kondo effect in quantum dots coupled to ferromagnetic leads with
  noncollinear magnetizations: effects due to electron-phonon coupling

abstract:
  Spin-polarized transport through a quantum dot strongly coupled to
ferromagnetic electrodes with non-collinear magnetic moments is analyzed
theoretically in terms of the non-equilibrium Green function formalism.
Electrons in the dot are assumed to be coupled to a phonon bath. The influence
of electron-phonon coupling on tunnelling current, linear and nonlinear
conductance, and on tunnel magnetoresistance is studied in detail. Variation of
the main Kondo peaks and phonon satellites with the angle between magnetic
moments of the leads is analyzed.


title: Simulations of Sisyphus cooling including multiple excited states

abstract:
  We extend the theory for laser cooling in a near-resonant optical lattice to
include multiple excited hyperfine states. Simulations are performed treating
the external degrees of freedom of the atom, i.e., position and momentum,
classically, while the internal atomic states are treated quantum mechanically,
allowing for arbitrary superpositions. Whereas theoretical treatments including
only a single excited hyperfine state predict that the temperature should be a
function of lattice depth only, except close to resonance, experiments have
shown that the minimum temperature achieved depends also on the detuning from
resonance of the lattice light. Our results resolve this discrepancy.


title:
Constraints on the decay of dark matter to dark energy from weak lensing
  bispectrum tomography

abstract:
  We consider a phenomenological model for a coupling between the dark matter
and dark energy fluids and investigate the sensitivity of a weak lensing
measurement for constraining the size of this coupling term. Physically, the
functional form of the coupling term in our model describes the decay of dark
matter into dark energy. We present forecasts for tomographic measurements of
the weak shear bispectrum for the DUNE experiment in a Fisher-matrix formalism,
where we describe the nonlinearities in structure formation by hyper-extended
perturbation theory. Physically, CDM decay tends to increase the growth rate of
density perturbations due to higher values for the CDM density at early times,
and amplifies the lensing signal because of stronger fluctuations in the
gravitational potential. We focus on degeneracies between the dark energy
equation of state properties and the CDM decay constant relevant for structure
formation and weak lensing. A typical lower bound on the CDM decay time
~7.7/H_0 = 75.3 Gyr/h$ which could be provided by DUNE would imply that it
would not possible to produce the dark energy content of the universe by CDM
decay within the age of the Universe for a constant equation of state parameter
of w close to -1.


title:
Non-universal behavior for aperiodic interactions within a mean-field
  approximation

abstract:
  We study the spin-1/2 Ising model on a Bethe lattice in the mean-field limit,
with the interaction constants following two deterministic aperiodic sequences:
Fibonacci or period-doubling ones. New algorithms of sequence generation were
implemented, which were fundamental in obtaining long sequences and, therefore,
precise results. We calculate the exact critical temperature for both
sequences, as well as the critical exponent $\beta$, $\gamma$ and $\delta$. For
the Fibonacci sequence, the exponents are classical, while for the
period-doubling one they depend on the ratio between the two exchange
constants. The usual relations between critical exponents are satisfied, within
error bars, for the period-doubling sequence. Therefore, we show that
mean-field-like procedures may lead to nonclassical critical exponents.


title:
Interaction induced trapping and pulsed emission of a magnetically
  insensitive Bose-Einstein Condensate

abstract:
  We demonstrate that atoms in magnetically insensitive hyperfine states (m=0)
can be trapped efficiently by a Bose-Einstein Condensate of the same atomic
species occupying a different hyperfine state. The latter is trapped
magnetically. Hyperfine state changing collisions, and therefore loss of the
trapped (m=0) atoms, are shown to be strongly inhibited in case of a low
density of the confined atomic cloud. We monitor the transition from a 'soft'
to a 'hard' effective potential by studying the backaction of the trapped (m=0)
atoms onto the condensate which provides their confinement. The controlled
outcoupling of the trapped atoms by shaping the condensate's wavefunction is
explored. We observe a pulsed emission of atoms from the trapping region
reminiscent of an atom laser.


title:
A high-significance detection of non-Gaussianity in the WMAP 5-year data
  using directional spherical wavelets

abstract:
  We repeat the directional spherical real Morlet wavelet analysis, used to
detect non-Gaussianity in the Wilkinson Microwave Anisotropy Probe (WMAP)
1-year and 3-year data (McEwen et al. 2005, 2006a), on the WMAP 5-year data.
The non-Gaussian signal detected previously is present in the 5-year data at a
slightly increased statistical significance of approximately 99%. Localised
regions that contribute most strongly to the non-Gaussian signal are found to
be very similar to those detected in the previous releases of the WMAP data.
When the localised regions detected in the 5-year data are excluded from the
analysis the non-Gaussian signal is eliminated.


title:
Measurement of the Moments of the Photon Energy Spectrum in B -> X_s
  gamma Decays and Determination of |V_cb| and m_b at Belle

abstract:
  Using the previous Belle measurement of the inclusive photon energy in $B\to
X_s\gamma$ decays, we determine the first and second moments of this spectrum
for minimum photon energies in the $B$ meson rest frame ranging from 1.8 to 2.3
GeV. Combining these measurements with recent Belle data on the lepton energy
and hadronic mass moments in $B\to X_c\ell\nu$ decays, we perform fits to
theoretical expressions derived in the 1S and kinetic mass schemes and extract
the magnitude of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element $V_{cb}$,
the $b$-quark mass and other non-perturbative parameters. In the 1S scheme
analysis we find $|V_{cb}|=(41.56\pm 0.68(\mathrm{fit})\pm 0.08(\tau_B))\times
10^{-3}$ and $m_b^\mathrm{1S}=(4.723\pm 0.055)$ GeV. In the kinetic scheme, we
obtain $|V_{cb}|=(41.58\pm 0.69(\mathrm{fit})\pm 0.08(\tau_B)\pm
0.58(\mathrm{th}))\times 10^{-3}$ and $m_b^\mathrm{kin}=(4.543\pm 0.075)$ GeV.


title: Elie: an event generator for nuclear reactions

abstract:
  An event generator for the description of nuclear reactions in the Fermi
energy range is briefly introduced and first comparisons with experimental data
are shown.


title: Landau's function for one million billions

abstract:
  Let ${\mathfrak S}_n$ denote the symmetric group with $n$ letters, and $g(n)$
the maximal order of an element of ${\mathfrak S}_n$. If the standard
factorization of $M$ into primes is $M=q_1^{\al_1}q_2^{\al_2}... q_k^{\al_k}$,
we define $\ell(M)$ to be $q_1^{\al_1}+q_2^{\al_2}+... +q_k^{\al_k}$; one
century ago, E. Landau proved that $g(n)=\max_{\ell(M)\le n} M$ and that, when
$n$ goes to infinity, $\log g(n) \sim \sqrt{n\log(n)}$. There exists a basic
algorithm to compute $g(n)$ for $1 \le n \le N$; its running time is
$\co(N^{3/2}/\sqrt{\log N})$ and the needed memory is $\co(N)$; it allows
computing $g(n)$ up to, say, one million. We describe an algorithm to calculate
$g(n)$ for $n$ up to $10^{15}$. The main idea is to use the so-called {\it
$\ell$-superchampion numbers}. Similar numbers, the {\it superior highly
composite numbers}, were introduced by S. Ramanujan to study large values of
the divisor function $\tau(n)=\sum_{d\dv n} 1$.


title: On the IR behaviour of the Landau-gauge ghost propagator

abstract:
  We examine analytically the ghost propagator Dyson-Schwinger Equation (DSE)
in the deep IR regime and prove that a finite ghost dressing function at
vanishing momentum is an alternative solution (solution II) to the usually
assumed divergent one (solution I). We furthermore find that the Slavnov-Taylor
identities discriminate between these two classes of solutions and strongly
support the solution II. The latter turns out to be also preferred by lattice
simulations within numerical uncertainties.


title: Statistics of extremes under random censoring

abstract:
  We investigate the estimation of the extreme value index when the data are
subject to random censorship. We prove, in a unified way, detailed asymptotic
normality results for various estimators of the extreme value index and use
these estimators as the main building block for estimators of extreme
quantiles. We illustrate the quality of these methods by a small simulation
study and apply the estimators to medical data.


title: Rational approximation to the Thomas--Fermi equation

abstract:
  We show that a simple and straightforward rational approximation to the
Thomas--Fermi equation provides the slope at origin with unprecedented
accuracy. We compare present approach with other available ones.


title:
Neutrino Signals from Solar Neutralino Annihilations in Anomaly Mediated
  Supersymmetry Breaking Model

abstract:
  The lightest neutralino, as the dark matter candidate, can be gravitationally
captured by the Sun. In this paper, we studied the high energy neutrino signals
from solar neutralino annihilations in the core of the Sun in the anomaly
mediated supersymmetry (SUSY) breaking (AMSB) model. Based on the
event-by-event monte carlo simulation code WimpSim, we studied the detailed
energy and angular spectrum of the final muons at large neutrino telescope
IceCube. More precisely we simulated the processes since the production of
neutrino via neutralino annihilation in the core of the Sun, neutrino
propagation from the Sun to the Earth, as well as the converting processes from
neutrino to muon. Our results showed that in the AMSB model it is possible to
observe the energetic muons at IceCube, provided that the lightest neutralio
has relatively large higgsino component, as a rule of thumb $ N_{13}^2 +
N_{14}^2 > 4%$ or equivalently $ \sigma_{SD} > 10^{- 5} pb$. Especially, for
our favorable parameters the signal annual events can reach 102 and the
statistical significance can reach more than 20. We pointed out that the energy
spectrum of muons may be used to distinguish among the AMSB model and other
SUSY breaking scenarios.


title: Simulating full-sky interferometric observations

abstract:
  Aperture array interferometers, such as that proposed for the Square
Kilometre Array (SKA), will see the entire sky, hence the standard approach to
simulating visibilities will not be applicable since it relies on a tangent
plane approximation that is valid only for small fields of view. We derive
interferometric formulations in real, spherical harmonic and wavelet space that
include contributions over the entire sky and do not rely on any tangent plane
approximations. A fast wavelet method is developed to simulate the visibilities
observed by an interferometer in the full-sky setting. Computing visibilities
using the fast wavelet method adapts to the sparse representation of the
primary beam and sky intensity in the wavelet basis. Consequently, the fast
wavelet method exhibits superior computational complexity to the real and
spherical harmonic space methods and may be performed at substantially lower
computational cost, while introducing only negligible error to simulated
visibilities. Low-resolution interferometric observations are simulated using
all of the methods to compare their performance, demonstrating that the fast
wavelet method is approximately three times faster that the other methods for
these low-resolution simulations. The computational burden of the real and
spherical harmonic space methods renders these techniques computationally
infeasible for higher resolution simulations. High-resolution interferometric
observations are simulated using the fast wavelet method only, demonstrating
and validating the application of this method to realistic simulations. The
fast wavelet method is estimated to provide a greater than ten-fold reduction
in execution time compared to the other methods for these high-resolution
simulations.


title:
Tropicalization and irreducibility of Generalized Vandermonde
  Determinants

abstract:
  We find geometric and arithmetic conditions in order to characterize the
irreducibility of the determinant of the generic Vandermonde matrix over the
algebraic closure of any field k. We also characterize those determinants whose
tropicalization with respect to the variables of a row is irreducible.


title:
An alternative scaling solution for high-energy QCD saturation with
  running coupling

abstract:
  A new type of approximate scaling compatible with the Balitsky-Kovchegov
equation with running coupling is found, which is different from the previously
known running coupling geometric scaling. The corresponding asymptotic
traveling wave solution is derived. Although featuring different scaling
behaviors, the two solutions are complementary approximations of the same
universal solution, and they become equivalent in the high energy limit. The
new type of scaling is observed in the small-x DIS data.


title: Multi-Band Analysis of Abell 2255

abstract:
  We analyzed the data for the nearby cluster of galaxies Abell 2255 from
archival XMM-Newton observations in order to search for the properties of X-ray
point like structures in the outskirts. 11 point-like X-ray emission is
detected. Detected X-ray sources are then observed with the 1.5 meter RTT-150
at Turkish National Observatory for possible optical counterparts. The cluster
field is covered through 5 ANDOR photometer pointings. 3 sources have no
optical follow-ups. 2 QSOs and 1 star are observed from the field. For 4
sources we have obtained the corresponding redhifts. The cumulative
log(N)-log(S) is studied and the cluster source number is calculated to be 4
times higher than the field at Fx~10E-13 ergs cm-2 s-1. This phenomenon is
interpreted as increased galaxy activity as they first encounter high density
ICM environment at the cluster outskirt. We suggest that X-ray emission is
triggered by either increased accretion onto LMXBs, fueling of AGNs and/or
awakening of BHs.


title: No-Free-Lunch equivalences for exponential Levy models

abstract:
  We provide equivalence of numerous no-free-lunch type conditions for
financial markets where the asset prices are modeled as exponential Levy
processes, under possible convex constraints in the use of investment
strategies. The general message is the following: if any kind of free lunch
exists in these models it has to be of the most egregious type, generating an
increasing ealth. Furthermore, we connect the previous to the existence of the
numeraire portfolio, both for its particular expositional clarity in
exponential Levy models and as a first step in obtaining analogues of the
no-free-lunch equivalences in general semimartingale models.


title: Resolution of Curvature Singularities in Higher Derivative Gravity

abstract:
  We consider possible resolutions of singularities in a contracting
anisotropic universe for a class of higher derivative gravity theories. We give
evidence that for our models the big crunch singularity may be replaced by a
nearly flat Minkowski-like phase before the Universe reenters an anisotropic
expansion in a time-symmetric manner.


title:
On the asymptotic joint distribution of sample space--time covariance
  estimators

abstract:
  We study the asymptotic joint distribution of sample space--time covariance
estimators of strictly stationary random fields. We do this without any
marginal or joint distributional assumptions other than mild moment and mixing
conditions. We consider several situations depending on whether the
observations are regularly or irregularly spaced and whether one part or the
whole domain of interest is fixed or increasing. A simulation experiment
illustrates the theoretical results.


title: About Substitution Tilings with Statistical Circular Symmetry

abstract:
  Two results about equidistribution of tile orientations in primitive
substitution tilings are stated, one for finitely many, one for infinitely many
orientations. Furthermore, consequences for the associated diffraction spectra
and the dynamical systems are discussed.


title: Adaptive Ridge Selector (ARiS)

abstract:
  We introduce a new shrinkage variable selection operator for linear models
which we term the \emph{adaptive ridge selector} (ARiS). This approach is
inspired by the \emph{relevance vector machine} (RVM), which uses a Bayesian
hierarchical linear setup to do variable selection and model estimation.
Extending the RVM algorithm, we include a proper prior distribution for the
precisions of the regression coefficients, $v_{j}^{-1} \sim
f(v_{j}^{-1}|\eta)$, where $\eta$ is a scalar hyperparameter. A novel fitting
approach which utilizes the full set of posterior conditional distributions is
applied to maximize the joint posterior distribution
$p(\boldsymbol\beta,\sigma^{2},\mathbf{v}^{-1}|\mathbf{y},\eta)$ given the
value of the hyper-parameter $\eta$. An empirical Bayes method is proposed for
choosing $\eta$. This approach is contrasted with other regularized least
squares estimators including the lasso, its variants, nonnegative garrote and
ordinary ridge regression. Performance differences are explored for various
simulated data examples. Results indicate superior prediction and model
selection accuracy under sparse setups and drastic improvement in accuracy of
model choice with increasing sample size.


title: Local Approximation Schemes for Topology Control

abstract:
  This paper presents a distributed algorithm on wireless ad-hoc networks that
runs in polylogarithmic number of rounds in the size of the network and
constructs a linear size, lightweight, (1+\epsilon)-spanner for any given
\epsilon > 0. A wireless network is modeled by a d-dimensional \alpha-quasi
unit ball graph (\alpha-UBG), which is a higher dimensional generalization of
the standard unit disk graph (UDG) model. The d-dimensional \alpha-UBG model
goes beyond the unrealistic ``flat world'' assumption of UDGs and also takes
into account transmission errors, fading signal strength, and physical
obstructions. The main result in the paper is this: for any fixed \epsilon > 0,
0 < \alpha \le 1, and d \ge 2, there is a distributed algorithm running in
O(\log n \log^* n) communication rounds on an n-node, d-dimensional \alpha-UBG
G that computes a (1+\epsilon)-spanner G' of G with maximum degree \Delta(G') =
O(1) and total weight w(G') = O(w(MST(G)). This result is motivated by the
topology control problem in wireless ad-hoc networks and improves on existing
topology control algorithms along several dimensions. The technical
contributions of the paper include a new, sequential, greedy algorithm with
relaxed edge ordering and lazy updating, and clustering techniques for
filtering out unnecessary edges.


title: Current-induced noise and damping in non-uniform ferromagnets

abstract:
  In the presence of spatial variation of the magnetization direction, electric
current noise causes a fluctuating spin-transfer torque that increases the
fluctuations of the ferromagnetic order parameter. By the
fluctuation-dissipation theorem, the equilibrium fluctuations are related to
the magnetization damping, which in non-uniform ferromagnets acquires a
nonlocal tensor structure. In biased ferromagnets, shot noise can become the
dominant contribution to the magnetization noise at low temperatures.
Considering spin spirals as a simple example, we show that the current-induced
noise and damping is significant.


title: Strongly Clean Matrix Rings Over Commutative Rings

abstract:
  A ring $R$ is called strongly clean if every element of $R$ is the sum of a
unit and an idempotent that commute.
  By {\rm SRC} factorization, Borooah, Diesl, and Dorsey
  \cite{BDD051} completely determined when ${\mathbb M}_n(R)$ over a
commutative local ring $R$ is strongly clean.
  We generalize the notion of {\rm SRC} factorization to commutative rings,
prove that commutative $n$-{\rm SRC} rings $(n\ge 2)$ are precisely the
commutative local rings over which ${\mathbb M}_n(R)$ is strongly clean, and
characterize strong cleanness of matrices over commutative projective-free
rings having {\rm ULP}. The strongly $\pi$-regular property (hence, strongly
clean property) of ${\mathbb M}_n(C(X,{\mathbb C}))$ with $X$ a {\rm P}-space
relative to ${\mathbb C}$ is also obtained where $C(X,{\mathbb C})$ is the ring
of complex valued continuous functions.


title: Geometric Properties of the Three-Dimensional Ising and XY Models

abstract:
  The fractal structure of high-temperature graphs of the three-dimensional
Ising and XY models is investigated by simulating these graphs directly on a
cubic lattice and analyzing them with the help of percolation observables. The
Ising graphs are shown to percolate right at the Curie critical point. The
diverging length scale relevant to the graphs in the vicinity of the
percolation threshold is shown to be provided by the spin correlation length.
The fractal dimension of the high-temperature graphs at criticality is
estimated to be $D = 1.7349(65)$ for the Ising and $D = 1.7626(66)$ for the XY
model.