title: Controlling the Information Flow in Spreadsheets

abstract:
  There is no denying that spreadsheets have become critical for all
operational processes including financial reporting, budgeting, forecasting,
and analysis. Microsoft Excel has essentially become a scratch pad and a data
browser that can quickly be put to use for information gathering and
decision-making. However, there is little control in how data comes into Excel,
and how it gets updated. The information supply chain feeding into Excel
remains ad hoc and without any centralized IT control. This paper discusses
some of the pitfalls of the data collection and maintenance process in Excel.
It then suggests service-oriented architecture (SOA) based information
gathering and control techniques to ameliorate the pitfalls of this scratch pad
while improving the integrity of data, boosting the productivity of the
business users, and building controls to satisfy the requirements of Section
404 of the Sarbanes-Oxley Act.


title:
Electron Correlations in the Low Carrier Density LaFeAsO0.89F0.11
  Superconductor (Tc = 28 K)

abstract:
  The crystal structure and numerous normal and superconducting state
properties of layered tetragonal (P4/nmm) LaFeAsO, with F-doping of 11 %, are
reported. Resistivity measurements give an onset transition temperature Tc =
28.2 K, and low field magnetic susceptibility data indicate bulk
superconductivity. In applied magnetic field, analysis of the resistive
transition results in a critical field Hc2 = 30 T and a coherence length 35 A.
An upper limit for the electron carrier concentration of 1 x 10^21 cm-3 is
inferred from Hall data just above Tc. Strong electron-electron correlations
are suggested from temperature-dependent resistivity, Seebeck coefficient, and
thermal conductivity data. Anomalies near Tc are observed in both Seebeck
coefficient and thermal conductivity data.


title: Estimation of stellar parameters using Monte Carlo Markov Chains

abstract:
  We apply Monte Carlo Markov Chain methods to the stellar parameter estimation
problem. This technique is useful when dealing with non-linear models and
allows to derive realistic error bars on the inferred parameters. We give the
first results obtained for alpha Cen A.


title:
Spherically Symmetric Static Configurations of Uniform Density in
  Spacetimes with a Non-Zero Cosmological Constant

abstract:
  Interior solutions of Einstein's equations with a non-zero cosmological
constant are given for static and spherically symmetric configurations of
uniform density. The metric tensor and pressure are determined for both
positive and negative values of the cosmological constant. Limits on the outer
radius of the interior solutions are established. It is shown that, contrary to
the cases of the limits on the interior Schwarzschild and Reissner--Nordstr\"om
solutions with a zero cosmological constant, these limits do not fully coincide
with the conditions of embeddability of the optical reference geometry
associated with the exterior (vacuum) Schwarzschild--de Sitter spacetime.


title: Classical oscillator with position-dependent mass in a complex domain

abstract:
  We study complexified Harmonic Oscillator with a position-dependent mass,
termed as Complex Exotic Oscillator (CEO). The complexification induces a gauge
invariance [19,11]. The role of PT -symmetry is discussed from the perspective
of classical trajectories of CEO for real energy. Some trajectories of CEO are
similar to those for the particle in a quartic potential in the complex domain
[10, 32].


title: Spitzer Observations of Environmental Effects on Virgo Cluster Galaxies

abstract:
  We present the initial results from SPITSOV, the Spitzer Survey of Virgo,
which includes MIPS and IRAC observations for a carefully selected sample of 44
Virgo cluster spiral and peculiar galaxies. SPITSOV is part of a
multiwavelength campaign to understand the effects of the cluster environment
on galaxy evolution. These Virgo galaxies are different from galaxies outside
of clusters, since most of them have been significantly modified by their
environment. The SPITSOV data can serve the community as the Spitzer sample of
nearby cluster spiral galaxies, a complement to the SINGS data for nearby
non-cluster galaxies. In this paper we describe the sample, the goals of the
study, and present preliminary results in 3 areas: 1) Evidence for ram
pressure-induced disturbances in radio morphologies based on changes in the
FIR-radio (70um-20cm) correlation; 2) Evidence for ram-pressure stripped
extraplanar gas tails from comparisons of dust/PAH (8um) emission and optical
dust extinction; 3) Evidence for unobscured star-forming regions with large
ratios of H-alpha to 24um emission in some galaxies due to ram pressure
stripping of dust.


title: Optical reference geometry of the Kerr-Newman spacetimes

abstract:
  Properties of the optical reference geometry related to Kerr-Newman
black-hole and naked-singularity spacetimes are illustrated using embedding
diagrams of their equatorial plane. Among all inertial forces defined in the
framework of the optical geometry, just the centrifugal force plays a
fundamental role in connection to the embedding diagrams because it changes
sign at the turning points of the diagrams. The limits of embeddability are
given, and it is established which of the photon circular orbits hosted the by
Kerr-Newman spacetimes appear in the embeddable regions. Some typical embedding
diagrams are constructed, and the Kerr-Newman backgrounds are classified
according to the number of embeddable regions of the optical geometry as well
as the number of their turning points. Embedding diagrams are closely related
to the notion of the radius of gyration which is useful for analyzing fluid
rotating in strong gravitational fields.


title:
Measurement of the Mass and Width of the W Boson in e+e- Collisions at
  sqrt{s} = 161 - 209 GeV

abstract:
  A measurement of the W boson mass and width has been performed by the DELPHI
collaboration using the data collected during the full LEP2 programme
(1996-2000). The data sample has an integrated luminosity of 660 pb^-1 and was
collected over a range of centre-of-mass energies from 161 to 209 GeV. Results
are obtained by applying the method of direct reconstruction of the mass of the
W from its decay products in both the W+W- -> lvqq and W+W- -> qqqq channels.
The W mass result for the combined data set is
  M_W = 80.336 +/- 0.055 (Stat.) +/- 0.028 (Syst.)
  +/- 0.025 (FSI) +/- 0.009 (LEP) GeV/c^2, where FSI represents the uncertainty
due to final state interaction effects in the qqqq channel, and LEP represents
that arising from the knowledge of the collision energy of the accelerator. The
combined value for the W width is Gamma_W = 2.404 +/- 0.140 (Stat.) +/- 0.077
(Syst.) +/- 0.065 (FSI) GeV/c^2. These results supersede all values previously
published by the DELPHI collaboration. This paper is dedicated to the memory of
Carlo Caso.


title:
Formation of Quantum Shock Waves by Merging and Splitting Bose-Einstein
  Condensates

abstract:
  The processes of merging and splitting dilute-gas Bose-Einstein condensates
are studied in the nonadiabatic, high-density regime. Rich dynamics are found.
Depending on the experimental parameters, uniform soliton trains containing
more than ten solitons or the formation of a high-density bulge as well as
quantum (or dispersive) shock waves are observed experimentally within merged
BECs. Our numerical simulations indicate the formation of many vortex rings. In
the case of splitting a BEC, the transition from sound-wave formation to
dispersive shock-wave formation is studied by use of increasingly stronger
splitting barriers. These experiments realize prototypical dispersive shock
situations.


title: Photon capture cones and embedding diagrams of the Ernst spacetime

abstract:
  The differences between the character of the Schwarzschild and Ernst
spacetimes are illustrated by comparing the photon capture cones, and the
embedding diagrams of the $t=\mathrm{const}$ sections of the equatorial planes
of both the ordinary and optical reference geometry of these spacetimes. The
non-flat asymptotic character of the Ernst spacetime reflects itself in two
manifest facts: the escape photon cones correspond to purely outward radial
direction, and the embedding diagrams of both the ordinary and optical geometry
shrink to zero radius asymptotically. Using the properties of the embedding
diagrams, regions of these spacetimes which could have similar character are
estimated, and it is argued that they can exist for the Ernst spacetimes with a
sufficiently low strength of the magnetic field.


title: Coherent Aharonov Bohm oscillations in type-II (ZnMn)Te quantum dots

abstract:
  The magneto-photoluminescence of type-II (ZnMn)Te quantum dots is presented.
As a result of the type-II band alignment Aharonov-Bohm (AB) oscillations in
the photoluminescence intensity are evident, confirming previous predictions
for the suitability of this geometry to control the optical Aharonov-Bohm
effect in semiconductor systems. Moreover, the system demonstrates an
interesting interplay between the AB effect and the spin polarization in
diluted magnetic semiconductor quantum dots. The intensity of the AB
oscillations increases with both magnetic field and the degree of optical
polarization, indicating the suppression of spin fluctuations improves the
coherence of the system.


title:
The effects of a kappa-distribution in the heliosheath on the global
  heliosphere and ENA flux at 1 AU

abstract:
  We investigate heliosheath energetic neutral atom (ENA) fluxes at keV
energies, by assuming that the heliosheath proton distribution can be
approximated by a kappa-distribution. The choice of the kappa parameter derives
from observational data of the solar wind (SW). This has direct applications to
the upcoming IBEX mission. We will look at all-sky ENA maps within the IBEX
energy range (10 eV to 6 keV), as well as ENA energy spectra in several
directions. We find that the use of kappa, as opposed to a Maxwellian, gives
rise to greatly increased ENA fluxes above 1 keV, while medium energy fluxes
are somewhat reduced. We show how IBEX data can be used to estimate the
spectral slope in the heliosheath, and that the use of kappa reduces the
differences between ENA maps at different energies. We also investigate the
effect introducing a kappa-distribution has on the global interaction between
the SW and the local interstellar medium (LISM), and find that there is
generally an increase in energy transport from the heliosphere into the LISM,
due to the modified profile of ENA's energies. This results in a termination
shock that moves out by 4 AU, a heliopause that moves in by 9 AU and a bow
shock 25 AU farther out, in the nose direction.


title:
Equatorial photon motion in the Kerr-Newman spacetimes with a non-zero
  cosmological constant

abstract:
  Discussion of the equatorial photon motion in Kerr-Newman black-hole and
naked-singularity spacetimes with a non-zero cosmological constant is
presented. Both repulsive and attractive cosmological constants are considered.
Circular photon orbits are determined, and their stability is established. The
spacetimes are divided into separated classes according to the properties of
the `effective potential'. There is a special class of Kerr-Newman-de Sitter
black-hole spacetimes with so-called `restricted repulsive barrier'. Further,
the azimuthal motion is discussed and photon trajectories are given in typical
situations. It is shown that for some photons with negative impact parameter
turning points of their azimuthal motion can exist.


title: When is Group Cohomology Finitary?

abstract:
  If $G$ is a group, then we say that the functor $H^n(G,-)$ is finitary if it
commutes with all filtered colimit systems of coefficient modules. We
investigate groups with cohomology almost everywhere finitary; that is, groups
with $n$th cohomology functors finitary for all sufficiently large $n$. We
establish sufficient conditions for a group $G$ possessing a finite dimensional
model for $e.g.$ to have cohomology almost everywhere finitary. We also prove a
stronger result for the subclass of groups of finite virtual cohomological
dimension, and use this to answer a question of Leary and Nucinkis. Finally, we
show that if $G$ is a locally (polycyclic-by-finite) group, then $G$ has
cohomology almost everywhere finitary if and only if $G$ has finite virtual
cohomological dimension and the normalizer of every non-trivial finite subgroup
of $G$ is finitely generated.


title: On Condensates in Strongly Coupled Gauge Theories

abstract:
  We present a new perspective on the nature of quark and gluon condensates in
quantum chromodynamics. We suggest that the spatial support of QCD condensates
is restricted to the interiors of hadrons, since these condensates arise due to
the interactions of confined quarks and gluons. An analogy is drawn with order
parameters like the Cooper pair condensate and spontaneous magnetization
experimentally measured in finite samples in condensed matter physics. Our
picture explains the results of recent studies which find no significant signal
for the vacuum gluon condensate. We also give a general discussion of
condensates in asymptotically free vectorial and chiral gauge theories.


title: Finitary Group Cohomology and Group Actions on Spheres

abstract:
  We show that if G is an infinitely generated locally (polycyclic-by-finite)
group with cohomology almost everywhere finitary, then every finite subgroup of
G acts freely and orthogonally on some sphere.


title:
Quantum key distribution with triggering parametric down conversion
  sources

abstract:
  Parametric down-conversion (PDC) sources can be used for quantum key
distribution (QKD). One can use a PDC source as a triggered single photon
source. Recently, there are various practical proposals of the decoy state QKD
with triggering PDC sources. In this paper, we generalize the passive decoy
state idea, originally proposed by Mauerer and Silberhorn. The generalized
passive decoy state idea can be applied to cases where either threshold
detectors or photon number resolving detectors are used. The decoy state
protocol proposed by Adachi, Yamamoto, Koashi and Imoto (AYKI) can be treated
as a special case of the generalized passive decoy state method. By simulating
a recent PDC experiment, we compare various practical decoy state protocols
with the infinite decoy protocol and also compare the cases using threshold
detectors and photon-number resolving detectors. Our simulation result shows
that with the AYKI protocol, one can achieve a key generation rate that is
close to the theoretical limit of infinite decoy protocol. Furthermore, our
simulation result shows that a photon-number resolving detector appears to be
not very useful for improving QKD performance in this case. Although our
analysis is focused on the QKD with PDC sources, we emphasize that it can also
be applied to other QKD setups with triggered single photon sources.


title: Finitary Group Cohomology and Eilenberg-Mac Lane Spaces

abstract:
  We say that a group G has cohomology almost everywhere finitary if and only
if the nth cohomology functors of G commute with filtered colimits for all
sufficiently large n.
  In this paper, we show that if G is a group in Kropholler's class LHF with
cohomology almost everywhere finitary, then G has an Eilenberg--Mac Lane space
K(G,1) which is dominated by a CW-complex with finitely many n-cells for all
sufficiently large n. It is an open question as to whether this holds for
arbitrary G.
  We also remark that the converse holds for any group G.


title: Possible exotic stringy signatures at the LHC

abstract:
  In this paper I discuss some string inspired exotic colored matter particles
that could be produced at the LHC, as well as the experimental signature for
the observation of such states. Their most easily identifiable signature of
this scenario is that many of these exotic particles would decay into standard
model particles only via higher dimension operators in the effective field
theory at a TeV scale. Some of these particles would only have three body
decays into standard model particles.


title:
Primordial Entropy Production and Lambda-driven Inflation from Quantum
  Einstein Gravity

abstract:
  We review recent work on renormalization group (RG) improved cosmologies
based upon a RG trajectory of Quantum Einstein Gravity (QEG) with realistic
parameter values. In particular we argue that QEG effects can account for the
entire entropy of the present Universe in the massless sector and give rise to
a phase of inflationary expansion. This phase is a pure quantum effect and
requires no classical inflaton field.


title: Fermion evaporation of a black hole off a tense brane

abstract:
  Using the WKBJ approximation we obtain numerical plots of the power emission
spectrum for the evaporation of massless bulk Dirac fermions from six
dimensional black holes off a tense 3-brane with codimension two. We also
present the multiplicity factors for eigenvalues of the deficit four sphere and
show that these reduce to the usual case in the tenseless limit.


title: Local resolution-limit-free Potts model for community detection

abstract:
  We report on an exceptionally accurate spin-glass-type Potts model for
community detection. With a simple algorithm, we find that our approach is at
least as accurate as the best currently available algorithms and robust to the
effects of noise. It is also competitive with the best currently available
algorithms in terms of speed and size of solvable systems. We find that the
computational demand often exhibits superlinear scaling L^1.3 where L is the
number of edges in the system, and we have applied the algorithm to synthetic
systems as large as 40x10^6 nodes and over 1x10^9 edges. A previous stumbling
block encountered by popular community detection methods is the so-called
"resolution limit." Being a "local" measure of community structure, our Potts
model is free from this resolution-limit effect, and it further remains a local
measure on weighted and directed graphs. We also address the mitigation of
resolution-limit effects for two other popular Potts models.


title:
Heteroscedastic controlled calibration model applied to analytical
  chemistry

abstract:
  In chemical analysis made by laboratories one has the problem of determining
the concentration of a chemical element in a sample. In order to tackle this
problem the guide EURACHEM/CITAC recommends the application of the linear
calibration model, so implicitly assume that there is no measurement error in
the independent variable $X$. In this work, it is proposed a new calibration
model assuming that the independent variable is controlled. This assumption is
appropriate in chemical analysis where the process tempting to attain the fixed
known value $X$ generates an error and the resulting value is $x$, which is not
an observable. However, observations on its surrogate $X$ are available. A
simulation study is carried out in order to verify some properties of the
estimators derived for the new model and it is also considered the usual
calibration model to compare it with the new approach. Three applications are
considered to verify the performance of the new approach.


title: Origin of resonances in the chiral unitary approach

abstract:
  We study the origin of the resonances associated with pole singularities of
the scattering amplitude in the chiral unitary approach. We propose a "natural
renormalization" scheme using the low-energy interaction and the general
principle of the scattering theory. We develop a method to distinguish
dynamically generated resonances from genuine quark states
[Castillejo-Dalitz-Dyson (CDD) poles] using the natural renormalization scheme
and phenomenological fitting. Analyzing physical meson-baryon scatterings, we
find that the Lambda(1405) resonance is largely dominated by the meson-baryon
molecule component. In contrast, the N(1535) resonance requires a sizable CDD
pole contribution, while the effect of the meson-baryon dynamics is also
important.


title:
The hard X-ray spectral evolution in X-ray binaries and its application
  to constrain the black hole mass of ultraluminous X-ray sources

abstract:
  We investigate the relationship between the hard X-ray photon index $\Gamma$
and the Eddington ratio ($\xi=L_{X}(0.5-25 \rm keV)/L_{Edd}$) in six X-ray
binaries (XRBs) with well constrained black hole masses and distances. We find
that different XRBs follow different anti-correlations between $\Gamma$ and
$\xi$ when $\xi$ is less than a critical value, while $\Gamma$ and $\xi$
generally follow the same positive correlation when $\xi$ is larger than the
critical value. The anti-correlation and the positive correlation may suggest
that they are in different accretion modes (e.g., radiatively inefficient
accretion flow (RIAF) and standard disk). We fit both correlations with the
linear least-square method for individual sources, from which the crosspoint of
two fitted lines is obtained. Although the anti-correlation varies from source
to source, the crosspoints of all sources roughly converge to the same point
with small scatter($\log \xi=-2.1\pm0.2, \Gamma=1.5\pm 0.1$), which may
correspond to the transition point between RIAF and standard accretion disk.
Motivated by the observational evidence for the similarity of the X-ray
spectral evolution of ultraluminous X-ray sources (ULXs) to that of XRBs, we
then constrain the black hole masses for seven ULXs assuming that their X-ray
spectral evolution is similar to that of XRBs. We find that the BH masses of
these seven luminous ULXs are around $10^{4}\msun$, which are typical
intermediate-mass BHs (IMBHs). Our results are generally consistent with the BH
masses constrained from the timing properties (e.g., break frequency) or the
model fitting with a multi-color disk.


title: On the nature of ill-posedness of the forward-backward heat equation

abstract:
  We study the Cauchy problem with periodic initial data for the
forward-backward heat equation defined by the J-self-adjoint linear operator L
depending on a small parameter. The problem has been originated from the
lubrication approximation of a viscous fluid film on the inner surface of the
rotating cylinder. For a certain range of the parameter we rigorously prove the
conjecture, based on the numerical evidence, that the set of eigenvectors of
the operator $L$ does not form a Riesz basis in $\L^2 (-\pi,\pi)$. Our method
can be applied to a wide range of the evolutional problems given by
$PT-$symmetric operators.


title: Vacuum Boundary Effects

abstract:
  The effect of boundary conditions on the vacuum structure of quantum field
theories is analysed from a quantum information viewpoint. In particular, we
analyse the role of boundary conditions on boundary entropy and entanglement
entropy. The analysis of boundary effects on massless free field theories
points out the relevance of boundary conditions as a new rich source of
information about the vacuum structure. In all cases the entropy does not
increase along the flow from the ultraviolet to the infrared.


title: Standard-Model Condensates and the Cosmological Constant

abstract:
  We suggest a solution to the problem of some apparently excessive
contributions to the cosmological constant from Standard-Model condensates.


title: Schwinger Pair Production in dS_2 and AdS_2

abstract:
  We study Schwinger pair production in scalar QED from a uniform electric
field in dS_2 with scalar curvature R_{dS} = 2 H^2 and in AdS_2 with R_{AdS} =
- 2 K^2. With suitable boundary conditions, we find that the pair-production
rate is the same analytic function of the scalar curvature in both cases.


title:
A new Godunov-type numerical code with a non-linear Riemann solver for
  equations of relativistic hydrodynamics

abstract:
  We present a second-order upwind numerical scheme for equations of
relativistic hydrodynamics with a source term. A new non-linear Riemann solver
is constructed. Solution of a Riemann problem on a cells boundary is based on
exact relations in case of zero tangential velocities. In this sense our solver
is "exact". In case of non-zero tangential velocities a reasonable
approximation is made that allows to avoid solution of very complicated exact
equations. The scheme is tested on several one- and three-dimensional solutions
demonstrating a good performance for both strong shocks and strong
rarefactions.


title: Optical imaging beyond the diffraction limit via dark states

abstract:
  We study the possibility of creating spatial patterns having subwavelength
size by using the so-called dark states formed by the interaction between atoms
and optical fields. These optical fields have a specified spatial distribution.
Our experiments in Rb vapor display spatial patterns that are smaller than the
length determined by the diffraction limit of the optical system used in the
experiment. This approach may have applications to interference lithography and
might be used in coherent Raman spectroscopy to create patterns with
subwavelength spatial resolution.


title:
Phase diagram of the three states Potts model with next nearest neighbor
  interactions on the Bethe lattice

abstract:
  We have found an exact phase diagram of the Potts model with next nearest
neighbor interactions on the Bethe lattice of order two. The diagram consists
of five phases: ferromagnetic, paramagnetic, modulated, antiphase and
paramodulated, all meeting at the Lifshitz point i.e. $p=1/3$. We report on a
new phase which we denote as paramodulated, found at low temperatures and
characterized by 2-periodic points of an one dimensional dynamical system lying
inside the modulated phase. Such a phase, inherent in the Potts model has no
analogues in the Ising setting.


title: Logical Queries over Views: Decidability and Expressiveness

abstract:
  We study the problem of deciding satisfiability of first order logic queries
over views, our aim being to delimit the boundary between the decidable and the
undecidable fragments of this language. Views currently occupy a central place
in database research, due to their role in applications such as information
integration and data warehousing. Our main result is the identification of a
decidable class of first order queries over unary conjunctive views that
generalises the decidability of the classical class of first order sentences
over unary relations, known as the Lowenheim class. We then demonstrate how
various extensions of this class lead to undecidability and also provide some
expressivity results. Besides its theoretical interest, our new decidable class
is potentially interesting for use in applications such as deciding implication
of complex dependencies, analysis of a restricted class of active database
rules, and ontology reasoning.


title: Work and energy in inertial and non inertial reference frames

abstract:
  It is usual in introductory courses of mechanics to develop the work and
energy formalism from Newton's laws. On the other hand, literature analyzes the
way in which forces transform under a change of reference frame.
Notwithstanding, no analogous study is done for the way in which work and
energy transform under those changes of reference frames. We analyze the
behavior of energy and work under such transformations and show explicitly the
expected invariance of the formalism under Galilean transformations for one
particle and a system of particles. The case of non inertial systems is also
analyzed and the fictitious works are characterized. In particular, we show
that the total fictitious work in the center of mass system vanishes even if
the center of mass defines a non inertial frame. Finally, some subtleties that
arise from the formalism are illustrated by examples.


title: The Five Elements of Th1-Th2 System

abstract:
  The T helper (Th) phenotypes, Th1/Th2, are acquired upon interaction of a
naive T helper cell and an antigen presenting cell (APC). Naive T helper cells
may differentiate into either phenotype, and the actual outcome is determined
by the density and avidity of the antigenic determinants presented by the APC,
and the APCs inherent costimulatory properties. Until recently it was thought
that differentiation is further affected by cytokines. In our work, We have
specified aspects of T-cell cytokine networks using B method of software
engineering. With this model, we are able to run verification with B-toolkit
and allow us to compare the dynamic behavior of the model to actual
experimental data from College of Animal Science and Veterinary Medicine. Here
we present a Wu-Hsing model of Th1-Th2 system.


title:
The molecular asymmetric rigid rotor Hamiltonian as an exactly solvable
  model

abstract:
  Representations of the rotation group may be formulated in second-quantised
language via Schwinger's transcription of angular momentum states onto states
of an effective two-dimensional oscillator. In the case of the molecular
asymmetric rigid rotor, by projecting onto the state space of rigid body
rotations, the standard Ray Hamiltonian $H(1,\kappa,-1)$ (with asymmetry
parameter $1 \ge \kappa \ge -1$), becomes a quadratic polynomial in the
generators of the associated dynamical $su(1,1)$ algebra. We point out that
$H(1,\kappa,-1)$ is in fact quadratic in the Gaudin operators arising from the
quasiclassical limit of an associated $su_q(1,1)$ Yang-Baxter algebra. The
general asymmetric rigid rotor Hamiltonian is thus an exactly solvable model.
This fact has important implications for the structure of the spectrum, as well
as for the eigenstates and correlation functions of the model.


title: Multipole as $f$-Electron Spin-Charge Density in Filled Skutterudites

abstract:
  It is shown that $f$-electron multipole is naturally defined as spin-charge
one-electron density operator in the second-quantized form with the use of
tensor operator on the analogy of multipole expansion of electromagnetic
potential from charge distribution in electromagnetism. Due to this definition
of multipole, it is possible to determine multipole state from a microscopic
viewpoint on the basis of the standard linear response theory for multipole
susceptibility. In order to discuss multipole properties of filled
skutterudites, we analyze a seven-orbital impurity Anderson model by employing
a numerical renormalization group method. We show our results on possible
multipole states of filled skutterudite compounds.


title: Towards an Extended Microscopic Theory for the Upper fp-shell nuclei

abstract:
  An extended SU(3) shell model that for the first time explicitly includes
unique-parity levels is introduced. Shell-model calculations for the isotopes
of $^{64}$Ge and $^{68}$Se are performed where valence nucleons beyond the
N=28=Z core occupy levels of the normal parity upper-$fp$ shell
($f_{5/2},p_{3/2},p_{1/2}$) and the unique parity $g_{9/2}$ intruder
configuration. The levels of the upper-$fp$ shell are handled within the
framework of an m-scheme basis as well as its pseudo-SU(3) counterpart, and
respectively, the $g_{9/2}$ as a single level and as a member for the complete
$gds$ shell. It is demonstrated that the extended SU(3) approach allows one to
better probe the effects of deformation and to account for many key properties
of the system by using a highly truncated model space.


title: The Brightest Serendipitous X-ray Sources in ChaMPlane

abstract:
  The Chandra Multiwavelength Plane (ChaMPlane) Survey is a comprehensive
effort to constrain the population of accretion-powered and coronal
low-luminosity X-ray sources (L_X < 10^33 erg s^-1) in the Galaxy. ChaMPlane
incorporates X-ray, optical, and infrared observations of fields in the
Galactic Plane imaged with Chandra in the past six years. We present the
results of a population study of the brightest X-ray sources in ChaMPlane. We
use X-ray spectral fitting, X-ray lightcurve analysis, and optical photometry
of candidate counterparts to determine the properties of 21 sources. Our sample
includes a previously unreported quiescent low-mass X-ray binary or cataclysmic
variable (R = 20.9) and ten stellar sources (12.5 < R < 15), including one
flare star (R = 17.3). We find that quantile analysis, a new technique
developed for constraining the X-ray spectral properties of low-count sources,
is largely consistent with spectral fitting.


title:
Convergence properties of fixed-point search with general but equal
  phase shifts for any iterations

abstract:
  Grover presented the fixed-point search by replacing the selective inversions
by selective phase shifts of $\pi /3$. In this paper, we investigate the
convergence behavior of the fixed-point search algorithm with general but equal
phase shifts for any iterations.


title: Toward an Ecological Theory of Concepts

abstract:
  Psychology has had difficulty accounting for the creative, context-sensitive
manner in which concepts are used. We believe this stems from the view of
concepts as identifiers rather than bridges between mind and world that
participate in the generation of meaning. This paper summarizes the history and
current status of concepts research, and provides a non-technical summary of
work toward an ecological approach to concepts. We outline the rationale for
applying generalizations of formalisms originally developed for use in quantum
mechanics to the modeling of concepts, showing how it is because of the role of
context that deep structural similarities exist between the two. A concept is
defined not just in terms of exemplary states and their features or properties,
but also by the relational structures of these properties, and their
susceptibility to change under different contexts. The approach implies a view
of mind in which the union of perception and environment drives
conceptualization, forging a web of conceptual relations or 'ecology of mind'.


title: The Cultural Evolution of Socially Situated Cognition

abstract:
  Because human cognition is creative and socially situated, knowledge
accumulates, diffuses, and gets applied in new contexts, generating cultural
analogs of phenomena observed in population genetics such as adaptation and
drift. It is therefore commonly thought that elements of culture evolve through
natural selection. However, natural selection was proposed to explain how
change accumulates despite lack of inheritance of acquired traits, as occurs
with template-mediated replication. It cannot accommodate a process with
significant retention of acquired or horizontally (e.g. socially) transmitted
traits. Moreover, elements of culture cannot be treated as discrete lineages
because they constantly interact and influence one another. It is proposed that
what evolves through culture is the mind; ideas and artifacts are merely
reflections of its current evolved state. Interacting minds transform (in part)
through through a non-Darwinian autopoietic process similar to that by which
early life evolved, involving not survival of the fittest but actualization of
their potential.


title:
Precise determination of $B_K$ and light quark masses in quenched
  domain-wall QCD

abstract:
  We calculate non-perturbative renormalization factors at hadronic scale for
$\Delta S=2$ four-quark operators in quenched domain-wall QCD using the
Schr\"{o}dinger functional method. Combining them with the non-perturbative
renormalization group running by the Alpha collaboration, our result yields the
fully non-perturbative renormalization factor, which converts the lattice bare
$B_K$ to the renormalization group invariant (RGI) $\hat{B}_K$. Applying this
to the bare $B_K$ previously obtained by the CP-PACS collaboration at
$a^{-1}\simeq 2, 3, 4$ GeV, we obtain $\hat{B}_K=0.782(5)(7)$ (equivalent to
$B_K^{\bar{\rm MS}}({\rm NDR}, 2 {\rm GeV}) = 0.565(4)(5)$ by 2-loop running)
in the continuum limit, where the first error is statistical and the second is
systematic due to the continuum extrapolation. Except the quenching error, the
total error we have achieved is less than 2%, which is much smaller than the
previous ones. Taking the same procedure, we obtain $m_{u,d}^{\rm
RGI}=5.613(66)$ MeV and $m_s^{\rm RGI}=147.1(17)$ MeV (equivalent to
$m_{u,d}^{\bar{\rm MS}}(2 {\rm GeV})=4.026(48)$ MeV and $m_{s}^{\bar{\rm MS}}(2
{\rm GeV})=105.6(12)$ MeV by 4-loop running) in the continuum limit.


title: Unequal Error Protection: An Information Theoretic Perspective

abstract:
  An information theoretic framework for unequal error protection is developed
in terms of the exponential error bounds. The fundamental difference between
the bit-wise and message-wise unequal error protection (UEP) is demonstrated,
for fixed length block codes on DMCs without feedback. Effect of feedback is
investigated via variable length block codes. It is shown that, feedback
results in a significant improvement in both bit-wise and message-wise UEP
(except the single message case for missed detection). The distinction between
false-alarm and missed-detection formalizations for message-wise UEP is also
considered. All results presented are at rates close to capacity.


title:
Gibbs Paradox and the Concepts of Information, Symmetry, Similarity and
  Their Relationship

abstract:
  Information (I) is defined as the amount of the data after data compression.
The first law of information theory: the total amount of data L (the sum of
entropy S and information I) of an isolated system remains unchanged. The
second law of information theory: Information I of an isolated system decreases
to a minimum at equilibrium. The third law of information theory: For a solid
structure of perfect symmetry (e.g., a perfect crystal), the information I is
zero and the (information theory) entropy (called by me as static entropy for
solid state) S is at the maximum. Gibbs Paradox has been resolved.
Spontaneously mixed substances at gaseous state can be spontaneously separated
at condensed phases (solid or liquid states), driving only by information loss
or by the increase in (information theory) entropy. None of the typical pure
mixing or separation processes are driving by free energy minimization and the
free energy (or total amount of chemical potential) has no change during the
processes of ideal mixture formation or ideal mixture separation. The
thermodynamic entropy change for the formation of ideal mixtures of gases,
liquids or solids is always zero.


title:
Strong-coupling superconductivity in layered nickel-based
  LaO$_{1-x}$F$_x$NiAs

abstract:
  A series of layered nickel-based LaO$_{1-x}$F$_x$NiAs compounds with x=0 to
0.15 are synthesized by solid state reactions. The pure LaONiAs exhibits bulk
superconductivity with Tc $\sim$ 2.75 K. Partial substitution of oxygen by
fluorine increases the transition temperature to $\sim 3.8$ K. The
LaO$_{0.9}$F$_{0.1}$NiAs sample shows a sharp superconducting transition and a
sharp specific heat jump at the critical temperature. The magnitude of the
specific heat jump is much larger than that expected from the weak-coupling BCS
theory, indicating that this superconductor is in the strong coupling regime.
Furthermore, the temperature dependence of the specific heat deviates strongly
from the theoretical result for the single-band s- or d-wave superconductor,
but shows some character of a multi-gap system.


title:
Topological Order and Non-Abelian Statistics in Noncentrosymmetric
  s-Wave Superconductors

abstract:
  We demonstrate that in two-dimensional noncentrosymmetric s-wave
superconductors under applied magnetic fields for a particular electron
density, topological order emerges, and there exists a zero energy Majorana
fermion mode in a vortex core, which obeys non-Abelian statistics, in analogy
with p_x+ip_y superconductors, the Moore-Read Pfaffian quantum Hall state, and
the gapped non-Abelian spin liquid phase of the Kitaev model.


title:
Kelvin Waves of Quantized Vortex Lines in Trapped Bose-Einstein
  Condensates

abstract:
  We have theoretically investigated Kelvin waves of quantized vortex lines in
trapped Bose-Einstein condensates. Counterrotating perturbation induces an
elliptical instability to the initially straight vortex line, driven by a
parametric resonance between a quadrupole mode and a pair of Kelvin modes of
opposite momenta. Subsequently, Kelvin waves rapidly decay to longer
wavelengths emitting sound waves in the process. We present a modified Kelvin
wave dispersion relation for trapped superfluids and propose a simple method to
excite Kelvin waves of specific wave number.


title: Overdensity of X-ray Sources in the Field of Nearby Clusters of Galaxies

abstract:
  Two nearby clusters of galaxies: A194 (z=0.018) and A1060 (z=0.0114) have
been analyzed for their X-ray point source properties with XMM-Newton EPIC-PN
data. A multi-band source detection technique was applied to both of the
clusters, resulting in 46 sources from the A194 field and 32 sources from the
A1060 field, respectively. The cumulative log(N)-log(S) for a flux limit of
Fx~10E-14 ergs cm-2 s-1 is calculated and compared with that of the Lockman
Hole. A ~3 sigma excess of X-ray sources is found for the cluster regions.
Considering the higher fraction observed in optical studies from the clusters,
we estimate that the cluster source density is 6 times higher than the blank
field source density, and 15 times higher than the local group. Our X-ray
selected sources have luminosity values between 10E(39.6)<Lx<10E(41.4) ergs/s,
in which X-ray emission from LMXBs, hot halos and starburst galaxies becomes
noticeable. The significance of the source density excess vanishes gradually
for sources with Lx > 10E(40.5) ergs/s, at which point the source density
becomes comparable to that of the blank-field level. Considering this confined
low luminosity range and the X-ray to optical luminosity ratios (L_X/L_B), the
observed overdensity is ascribed to AGN fueling by its infall into cluster
environment for Lx < 10E(40.5) ergs/s in the X-ray luminosity function.
Whereas, the quenching of AGN activity by the deep cluster potential explains
why the excess of the source density vanishes for the brighter sources.


title:
A circle of interacting servers; spontaneous collective behavior in case
  of large fluctuations

abstract:
  We consider large fluctuations, namely overload of servers, in a network with
dynamic routing of messages. The servers form a circle. The number of input
flows is equal to the number of servers, the messages of any flow are
distributed between two neighboring servers, upon its arrival a message is
directed to the least loaded of these servers. Under the condition that at
least two servers are overloaded the number of overloaded servers in such
network depends on the rate of input flows. In particular there exists critical
level of input rate that in case of higher rate most probable that all servers
are overloaded.


title: On the quartic curvature gravity in the context of FRW cosmology

abstract:
  We consider the purely gravitational fourth-order (in the spacetime
curvature) quantum corrections to the Einstein-Hilbert gravity action, coming
from superstrings in the leading order with respect to the Regge slope
parameter, and study their impact on the evolution of the Hubble scale in the
context of the FRW cosmology, in four spacetime dimensions. We propose the
generalized Friedmann equations, and rule out the most naive (Bel-Robinson
tensor squared) gravity. Our new cosmological equations have exact inflationary
solutions without a spacetime singularity.


title:
The maximum number of perfect matchings in graphs with a given degree
  sequence

abstract:
  We show that the number of perfect matching in a simple graph $G$ with an
even number of vertices and degree sequence $d_1,d_2, ..., d_n$ is at most
$\prod_{i=1}^n (d_i !)^{\frac{1}{2d_i}}$. This bound is sharp if and only if
$G$ is a union of complete balanced bipartite graphs.


title:
Magnetization profile and core level spectroscopy in a multiply
  quantized vortex of imbalanced Fermi superfluids

abstract:
  The core structure of multiply quantized vortices is theoretically
investigated in fermionic superfluid near Feshbach resonance. Under population
imbalance in two hyperfine spin states, the vortex core is filled in by the
``paramagnetic moment''. Here, we find the spatial oscillation of the
magnetization inside the core sensitively due to the topological structure of
the pairing field, in the range from the weak coupling regime to the unitary
limit. This magnetization inside the giant core reveals the winding number of
the vortex and directly results from the low-lying quasiparticle states bound
inside the core. It is therefore proposed that the density profile experiment
using phase contrast imaging can provide the spectroscopy of novel core level
structures in giant vortices. To help the understanding on these outcomes, we
also derive the analytic solution for the low-lying quasiparticle states inside
the core of a multiply quantized vortex.


title: Gallager error correcting codes for binary asymmetric channels

abstract:
  We derive critical noise levels for Gallager codes on asymmetric channels as
a function of the input bias and the temperature. Using a statistical mechanics
approach we study the space of codewords and the entropy in the various
decoding regimes. We further discuss the relation of the convergence of the
message passing algorithm with the endogeny property and complexity,
characterizing solutions of recursive equations of distributions for cavity
fields.


title: Contextuality, decoherence and quantum trajectories

abstract:
  Here we analyze the relationship between quantum contextuality and
decoherence in interference experiments with matter particles by means of a
simple reduced quantum-trajectory model, which attempts to simulate the
behavior of the projections of multi-dimensional, system-plus-environment
Bohmian trajectories onto the subspace of the reduced system. This model allows
us to understand the crossing of the subsystem trajectories as a combined
effect of interference quenching and erasure of ``which-way'' information,
which can be of utility to interpret decoherence effects in many-dimensional
systems where full Bohmian treatments become prohibitive computationally.


title: Random Vortex-Street Model for a Self-Similar Plane Turbulent Jet

abstract:
  We ask what determines the (small) angle of turbulent jets. To answer this
question we first construct a deterministic vortex-street model representing
the large scale structure in a self-similar plane turbulent jet. Without
adjustable parameters the model reproduces the mean velocity profiles and the
transverse positions of the large scale structures, including their mean
sweeping velocities, in a quantitative agreement with experiments. Nevertheless
the exact self similar arrangement of the vortices (or any other deterministic
model) necessarily leads to a collapse of the jet angle. The observed (small)
angle results from a competition between vortex sweeping tending to strongly
collapse the jet and randomness in the vortex structure, with the latter
resulting in a weak spreading of the jet.


title: Positive degree and arithmetic bigness

abstract:
  We establish, for a generically big Hermitian line bundle, the convergence of
truncated Harder-Narasimhan polygons and the uniform continuity of the limit.
As applications, we prove a conjecture of Moriwaki asserting that the
arithmetic volume function is actually a limit instead of a sup-limit, and we
show how to compute the asymptotic polygon of a Hermitian line bundle, by using
the arithmetic volume function.


title: Neutralino relic density from ILC measurements in the CPV MSSM

abstract:
  We discuss ILC measurements for a specific MSSM scenario with CP phases,
where the lightest neutralino is a good candidate for dark matter, annihilating
efficiently through t-channel exchange of light staus. These prospective
(CP-even) ILC measurements are then used to fit the underlying model
parameters. A collider prediction of the relic density of the neutralino from
this fit gives 0.116<Omega h^2<0.19 at 95% CL. CP-odd observables, while being
a direct signal of CP violation, do not help in further constraining Omega h^2.
The interplay with (in)direct detection of dark matter and with measurements of
electric dipole moments is also discussed. Finally we comment on collider
measurements at higher energies for refining the prediction of Omega h^2.


title: Discontinuity of the chemical potential in RDMFT for open-shell systems

abstract:
  We employ reduced density-matrix functional theory in the calculation of the
fundamental gap of open-shell systems. The formula for the calculation of the
fundamental gap is derived with special attention to the spin of the neutral
and the charged systems. We discuss the effects of different functionals as
well as the changes due to different basis sets. Also, we investigate the
importance of varying the natural orbitals for the calculation of the
fundamental gap


title:
Cumulative distribution function estimation under interval censoring
  case 1

abstract:
  We consider projection methods for the estimation of the cumulative
distribution function under interval censoring, case 1. Such censored data also
known as current status data, arise when the only information available on the
variable of interest is whether it is greater or less than an observed random
time. Two types of adaptive estimators are investigated. The first one is a
two-step estimator built as a quotient estimator. The second estimator results
from a mean square regression contrast. Both estimators are proved to achieve
automatically the standard optimal rate associated with the unknown regularity
of the function, but with some restriction for the quotient estimator.
Simulation experiments are presented to illustrate and compare the methods.


title: Categories of Fractions Revisited

abstract:
  The theory of categories of fractions as originally developed by Gabriel and
Zisman is reviewed in a pedagogical manner giving detailed proofs of all
statements. A weakening of the category of fractions axioms used by Higson is
discussed and shown to be equivalent to the original axioms.


title:
Brazil-nut effect versus reverse Brazil-nut effect in a moderately dense
  granular fluid

abstract:
  A new segregation criterion based on the inelastic Enskog kinetic equation is
derived to show the transition between the Brazil-nut effect (BNE) and the
reverse Brazil-nut effect (RBNE) by varying the different parameters of the
system. In contrast to previous theoretical attempts the approach is not
limited to the near-elastic case, takes into account the influence of both
thermal gradients and gravity and applies for moderate densities. The form of
the phase-diagrams for the BNE/RBNE transition depends sensitively on the value
of gravity relative to the thermal gradient, so that it is possible to switch
between both states for given values of the mass and size ratios, the
coefficients of restitution and the solid volume fraction. In particular, the
influence of collisional dissipation on segregation becomes more important when
the thermal gradient dominates over gravity than in the opposite limit. The
present analysis extends previous results derived in the dilute limit case and
is consistent with the findings of some recent experimental results.


title: Asymptotic freedom: history and interpretation

abstract:
  In this lecture, the early history of asymptotic freedom is discussed. The
first completely correct derivation of \beta_0 in non-abelian gauge theory
(Khriplovich, 1969) was done in the Coulomb gauge; this derivation is
reproduced (in modernized terms) in Sect. 2. A qualitative physical explanation
of asymptotic freedom via chromomagnetic properties of vacuum (Nielsen, 1981)
is discussed in Sect. 3.


title:
Superconductivity in a model of two Hubbard chains coupled with
  ferromagnetic exchange interaction

abstract:
  We study the ground-state properties of the double-chain Hubbard model
coupled with ferromagnetic exchange interaction by using the weak-coupling
theory, density-matrix renormalization group technique, and Lanczos
exact-diagonalization method. We determine the ground-state phase diagram in
the parameter space of the ferromagnetic exchange interaction and band filling.
We find that, in high electron density regime, the spin gap opens and the
spin-singlet $d_{xy}$-wave-like pairing correlation is most dominant, whereas
in low electron density regime, the fully-polarized ferromagnetic state is
stabilized where the spin-triplet $p_{y}$-wave-like pairing correlation is most
dominant.


title: The 2dF Redshift Survey II: UGC 8584 - Redshift Periodicity and Rings

abstract:
  UGC 8584 was selected by a computer program as having a number of quasars
around it that obeyed the Karlsson periodicity in its reference frame. On
closer examination 9 of the nearest 10 quasars turned out to be extremely close
to the predicted values. Also it turned out that UGC 8584 was a disturbed
triple galaxy and a strong triple radio source as well as being a strong
millimeter and infrared source. Evidence for present ejection velocities of
$z_v \sim .01$ for the associated quasars is present and some pairing of
ejections is noted.
  A new and important result emerges from this sample of galaxy/quasar
families, namely that rings and shells of galaxies and quasars tend to surround
galaxies which have active nuclei. Test cases suggest obscuration of the
background around these galaxies out to about 20' or beyond. Because incidents
of strong reddening are not observed, obscuring particles are suggested to be
large compared to optical wavelengths. In principle, material ejected with the
quasars could be of sizes of gravel or larger.


title: Fixed point properties in the space of marked groups

abstract:
  We explain, following Gromov, how to produce uniform isometric actions of
groups starting from isometric actions without fixed point, using common
ultralimits techniques. This gives in particular a simple proof of a result by
Shalom: Kazhdan's property (T) defines an open subset in the space of marked
finitely generated groups.


title: Markov Chains Approximations of jump-Diffusion Quantum Trajectories

abstract:
  "Quantum trajectories" are solutions of stochastic differential equations
also called Belavkin or Stochastic Schr\"odinger Equations. They describe
random phenomena in quantum measurement theory. Two types of such equations are
usually considered, one is driven by a one-dimensional Brownian motion and the
other is driven by a counting process. In this article, we present a way to
obtain more advanced models which use jump-diffusion stochastic differential
equations. Such models come from solutions of martingale problems for
infinitesimal generators. These generators are obtained from the limit of
generators of classical Markov chains which describe discrete models of quantum
trajectories. Furthermore, stochastic models of jump-diffusion equations are
physically justified by proving that their solutions can be obtained as the
limit of the discrete trajectories.


title:
Proposed definitions of the correlation energy density from a
  Hartree-Fock starting point: The two-electron Moshinsky model atom as an
  exactly solvable model

abstract:
  In both molecular physics and condensed matter theory, deeper understanding
of the correlation energy density epsilon_c (r) remains a high priority. By
adopting Loewdin's definition of correlation energy as the difference between
the exact and the Hartree-Fock values, here we propose two alternative routes
to define this. One of these involves both exact and Hartree-Fock (HF)
wavefunctions, while the second requires a coupling constant integration. As an
exact analytical example of the first route, we treat the two-electron model
atom of Moshinsky, for which both confinement potential and interactions are
harmonic. Though the correlation energy density epsilon_c (r) is known
analytically, we also investigate numerically its relation to the exact
ground-state density in this example.


title: All-optical diode action with Thue-Morse quasiperiodic photonic crystals

abstract:
  We theoretically investigate the possibility of realizing a nonlinear
all-optical diode by using the unique features of quasiperiodic 1D photonic
crystals. The interplay between the intrinsic spatial asymmetry in odd-order
Thue-Morse lattices and Kerr nonlinearity, combined with the unconventional
field localization properties of this class of quasiperiodic sequences, gives
rise to sharp resonances that can be used to give a polarization-insensitive,
nonreciprocal propagation with a contrast close to unity for low optical
intensities.


title: How Long Is a Photon?

abstract:
  An interpretation of an electromagnetic quantum as a single pulse is
suggested. In this context the Planck formula is shown to be equivalent to the
Heisenberg time-energy uncertainty relation. This allows to treat the photon
frequency as an inverse time of emission. Such an ansatz avoids the inherent
problems of the conventional approach.


title:
Multifrequency VLA observations of the FR I radio galaxy 3C 31:
  morphology, spectrum and magnetic field

abstract:
  We present high-quality VLA images of the FR I radio galaxy 3C 31 in the
frequency range 1365 to 8440 MHz with angular resolutions from 0.25 to 40
arcsec. Our new images reveal complex, well resolved filamentary substructure
in the radio jets and tails. We also use these images to explore the spectral
structure of 3C 31 on large and small scales. We infer the apparent magnetic
field structure by correcting for Faraday rotation. Some of the intensity
substructure in the jets is clearly related to structure in their apparent
magnetic field: there are arcs of emission where the degree of linear
polarization increases, with the apparent magnetic field parallel to the ridges
of the arcs. The spectral indices are significantly steeper (0.62) within 7
arcsec of the nucleus than between 7 and 50 arcsec (0.52 - 0.57). The spectra
of the jet edges are also slightly flatter than the average for their
surroundings. At larger distances, the jets are clearly delimited from
surrounding larger-scale emission both by their flatter radio spectra and by
sharp brightness gradients. The spectral index of 0.62 in the first 7 arcsec of
3C 31's jets is very close to that found in other FR I galaxies where their
jets first brighten in the radio and where X-ray synchrotron emission is most
prominent. Farther from the nucleus, where the spectra flatten, X-ray emission
is fainter relative to the radio. The brightest X-ray emission from FR I jets
is therefore not associated with the flattest radio spectra, but with a
particle-acceleration process whose characteristic energy index is 2.24. The
spectral flattening with distance from the nucleus occurs where our
relativistic jet models require deceleration, and the flatter-spectra at the
jet edges may be associated with transverse velocity shear. (Slightly abridged)


title: Degrees of freedom and the phase transitions of two flavor QCD

abstract:
  We study two effective models for QCD, the Nambu-Jona-Lasinio -model and the
linear sigma model extended by including a Polyakov loop potential, which is
fitted to reproduce pure gauge theory thermodynamics, and a coupling between
the chiral fields and the Polyakov loop. Thus the resulting models have as
relevant degrees of freedom the Polyakov loop and chiral fields. By comparing
the extended models with the bare chiral models we can conclude that the
addition of the Polyakov loop is necessary in order to obtain both
qualitatively and quantitatively correct results at finite temperatures. These
results are extended to finite net quark densities, several thermodynamical
quantites are investigated in detail and possible applications and consequences
for relativistic heavy ion collision phenomenology are discussed.


title: Twisted Group Rings Whose Units Form an FC-Group

abstract:
  Let U be the group of units of an infinite twisted group algebra K_\lambda G
over a field K. We describe the maximal FC-subgroup of U and give a
characterization of U with finitely conjugacy classes. In the case of group
algebras we obtain the Cliff-Sehgal-Zassenhaus' theorem.


title:
Non-adiabatic magnetohydrodynamic waves in a cylindrical prominence
  thread with mass flow

abstract:
  High-resolution observations show that oscillations and waves in prominence
threads are common and that they are attenuated in a few periods. In addition,
observers have also reported the presence of material flows in such prominence
fine-structures. Here we investigate the time damping of non-leaky oscillations
supported by a homogeneous cylindrical prominence thread embedded in an
unbounded corona and with a steady mass flow. Thermal conduction and radiative
losses are taken into account as damping mechanisms, and the effect of these
non-ideal effects and the steady flow on the attenuation of oscillations is
assessed. We solve the general dispersion relation for linear, non-adiabatic
magnetoacoustic and thermal waves supported by the model, and find that slow
and thermal modes are efficiently attenuated by non-adiabatic mechanisms. On
the contrary, fast kink modes are much less affected and their damping times
are much larger than those observed. The presence of flow has no effect on the
damping of slow and thermal waves, whereas fast kink waves are more (less)
attenuated when they propagate parallel (anti-parallel) to the flow direction.
Although the presence of steady mass flows improves the efficiency of
non-adiabatic mechanisms on the attenuation of transverse, kink oscillations
for parallel propagation to the flow, its effect is still not enough to obtain
damping times compatible with observations.


title: On Extending Pollard's Theorem for t-Representable Sums

abstract:
  Let $t\geq 1$, let $A$ and $B$ be finite, nonempty subsets of an abelian
group $G$, and let $A\pp{i} B$ denote all the elements $c$ with at least $i$
representations of the form $c=a+b$, with $a\in A$ and $b\in B$. For $|A|,
|B|\geq t$, we show that either \be\label{almost}\Sum{i=1}{t}|A\pp{i} B|\geq
t|A|+t|B|-2t^2+1,\ee or else there exist $A'\subseteq A$ and $B'\subseteq B$
with \ber \nn l&:=&|A\setminus A'|+|B\setminus B'|\leq t-1, \nn
A'\pp{t}B'&=&A'+B'=A\pp{t}B,{and} \nn \Sum{i=1}{t}|A\pp{i}B|&\geq&
t|A|+t|B|-(t-l)(|H|-\rho)-tl\geq t|A|+t|B|-t|H|,\eer where $H$ is the
(nontrivial) stabilizer of $A\pp{t} B$ and $\rho=|A'+H|-|A'|+|B'+H|-|B'|$. In
the case $t=2$, we improve (\ref{almost}) to $|A\pp{1}B|+|A\pp{2}B|\geq
2|A|+2|B|-4$.


title: Ageing and Relaxation in Glass Forming Systems

abstract:
  We propose that there exists a generic class of glass forming systems that
have competing states (of crystalline order or not) which are locally close in
energy to the ground state (which is typically unique). Upon cooling, such
systems exhibit patches (or clusters) of these competing states which become
locally stable in the sense of having a relatively high local shear modulus. It
is in between these clusters where ageing, relaxation and plasticity under
strain can take place. We demonstrate explicitly that relaxation events that
lead to ageing occur where the local shear modulus is low (even negative), and
result in an increase in the size of local patches of relative order. We
examine the ageing events closely from two points of view. On the one hand we
show that they are very localized in real space, taking place outside the
patches of relative order, and from the other point of view we show that they
represent transitions from one local minimum in the potential surface to
another. This picture offers a direct relation between structure and dynamics,
ascribing the slowing down in glass forming systems to the reduction in
relative volume of the amorphous material which is liquid-like. While we agree
with the well known Adam-Gibbs proposition that the slowing down is due to an
entropic squeeze (a dramatic decrease in the number of available
configurations), we do not agree with the Adam-Gibbs (or the Volger-Fulcher)
formulae that predict an infinite relaxation time at a finite temperature.
Rather, we propose that generically there should be no singular crisis at any
finite temperature: the relaxation time and the associated correlation length
(average cluster size) increase at most super-exponentially when the
temperature is lowered.


title: Squark Cascade Decays to Charginos/Neutralinos: Gluon Radiation

abstract:
  The momentum spectrum and the polarization of charginos and neutralinos in
squark decays are affected by gluon radiation in the decay process \tilde{q}
\to q \tilde{\chi} (g). We determine these corrections and study their impact
on the [ql] invariant mass distributions for leptonic \tilde{\chi} decays. The
higher-order corrections, though small in general, can be sizeable near
pronounced edges of the final-state distributions.


title: Conformal Symmetry and Pion Form Factor: Space- and Time-like Region

abstract:
  We extend a recent analysis of the pion electromagnetic form factor
constrained by the conformal symmetry to explore the time-like region. We show
explicitly that the time-like form factor obtained by the analytic continuation
of the space-like form factor correctly satisfies the dispersion relation. Our
results indicate that the quark spin and dynamical mass effects are crucial to
yield the realistic features of the vector meson dominance phenomena.


title: The canonical fractional Galois ideal at s=0

abstract:
  The Stickelberger elements attached to an abelian extension of number fields
conjecturally participate, under certain conditions, in annihilator relations
involving higher algebraic K-groups. In [Victor P. Snaith, Stark's conjecture
and new Stickelberger phenomena, Canad. J. Math. 58 (2) (2006) 419--448],
Snaith introduces canonical Galois modules hoped to appear in annihilator
relations generalising and improving those involving Stickelberger elements. In
this paper we study the first of these modules, corresponding to the classical
Stickelberger element, and prove a connection with the Stark units in a special
case.


title:
Should particle trajectories comply with the transverse momentum
  distribution?

abstract:
  The momentum distributions associated with both the wave function of a
particle behind a grating and the corresponding Bohmian trajectories are
investigated and compared. Near the grating, it is observed that the former
does not depend on the distance from the grating, while the latter changes with
this distance. However, as one moves further apart from the grating, in the far
field, both distributions become identical.


title:
Non-thermal radio emission from O-type stars III. Is Cyg OB2 No. 9 a
  wind-colliding binary?

abstract:
  The star Cyg OB2 No. 9 is a well-known non-thermal radio emitter. Recent
theoretical work suggests that all such O-stars should be in a binary or a
multiple system. However, there is no spectroscopic evidence of a binary
component. Re-analysis of radio observations from the VLA of this system over
25 years has revealed that the non-thermal emission varies with a period of
2.35+-0.02 yr. This is interpreted as a strong suggestion of a binary system,
with the non-thermal emission arising in a wind-collision region. We derived
some preliminary orbital parameters for this putative binary and revised the
mass-loss rate of the primary star downward from previous estimates.


title:
Statistical properties of thermodynamically predicted RNA secondary
  structures in viral genomes

abstract:
  By performing a comprehensive study on 1832 segments of 1212 complete genomes
of viruses, we show that in viral genomes the hairpin structures of
thermodynamically predicted RNA secondary structures are more abundant than
expected under a simple random null hypothesis. The detected hairpin structures
of RNA secondary structures are present both in coding and in noncoding regions
for the four groups of viruses categorized as dsDNA, dsRNA, ssDNA and ssRNA.
For all groups hairpin structures of RNA secondary structures are detected more
frequently than expected for a random null hypothesis in noncoding rather than
in coding regions. However, potential RNA secondary structures are also present
in coding regions of dsDNA group. In fact we detect evolutionary conserved RNA
secondary structures in conserved coding and noncoding regions of a large set
of complete genomes of dsDNA herpesviruses.


title: Entanglement-induced geometric phase of quantum states

abstract:
  The concept of relative state is used to introduce geometric phases that
originate from correlations in states of composite quantum systems. In
particular, we identify an entanglement-induced geometric phase in terms of a
weighted average of geometric phase factors associated with a decomposition
that define the entanglement of formation. An explicit procedure to calculate
the entanglement-induced geometric phase for qubit pairs is put forward. We
illustrate it for maximally entangled mixed states (MEMS) of two qubits.


title: Bohlin-Arnold-Vassiliev's duality and conserved quantities

abstract:
  Bohlin-Arnold-Vassiliev's duality transformation establishes a correspondence
between motions in different central potentials. It offers a very direct way to
construct the dynamical conserved quantities associated to the isotropic
harmonic oscillator (Fradkin-Jauch-Hill tensor) and to the Kepler's problem
(Laplace-Runge-Lenz vector).


title: Typical Dispersion and Generalized Lyapunov Exponents

abstract:
  Let f(n) denote the number of odd entries in the nth row of Pascal's binomial
triangle. We study "average dispersion" and "typical dispersion" of f(n) -- the
latter involves computing a generalized Lyapunov exponent -- and then turn to
numerical analysis of higher dimensional examples.


title:
Separately contacted edge states at high imbalance in the integer and
  fractional quantum Hall effect regime

abstract:
  This review presents experimental results on the inter-edge-state transport
in the quantum Hall effect, mostly obtained in the regime of high imbalance.
The application of a special geometry makes it possible to perform I-V
spectroscopy between individual edge channels in both the integer and the
fractional regime. This makes it possible to study in detail a number of
physical effects such as the creation of topological defects in the integer
quantum Hall effect and neutral collective modes excitation in fractional
regime. The while many of the experimental findings are well explained within
established theories of the quantum Hall effects, a number of observations give
new insight into the local structure at the sample edge, which can serve as a
starting point for further theoretical studies.


title:
Phantom and non-phantom dark energy: The cosmological relevance of
  non-locally corrected gravity

abstract:
  In this paper we have investigated the cosmological dynamics of non-locally
corrected gravity involving a function of the inverse d'Alembertian of the
Ricci scalar, $f(\Box^{-1} R))$. Casting the dynamical equations into local
form, we derive the fixed points of the dynamics and demonstrate the existence
and stability of a one parameter family of dark energy solutions for a simple
choice, $f(\Box^{-1} R)\sim \exp(\alpha \Box^{-1} R)$. The effective EoS
parameter is given by, $w_{\rm eff}=({\alpha-1})/({3\alpha-1})$ and the
stability of the solutions is guaranteed provided that $1/3<\alpha<2/3$. For
$1/3<\alpha<1/2$ and $1/2<\alpha<2/3$, the underlying system exhibits phantom
and non-phantom behavior respectively; the de Sitter solution corresponds to
$\alpha=1/2$. For a wide range of initial conditions, the system mimics dust
like behavior before reaching the stable fixed point. The late time phantom
phase is achieved without involving negative kinetic energy fields. A brief
discussion on the entropy of de Sitter space in non-local model is included.


title:
The Nature and Origin of Substructure in the Outskirts of M31. I.
  Surveying the Stellar Content with HST/ACS

abstract:
  We present the largest and most detailed survey to date of the stellar
populations in the outskirts of M31 based on the analysis of 14 deep HST/ACS
pointings spanning the range 11.5-45.0 kpc. We conduct a quantitative
comparison of the resolved stellar populations in these fields and identify
several striking trends. The color-magnitude diagrams (CMDs), which reach ~3
magnitudes below the red clump, can be classified into two main categories
based on their morphologies. `Stream-like' fields, so named for their
similarity to the CMD of the giant stellar stream, are characterized by a red
clump that slants bluewards at fainter magnitudes and an extended horizontal
branch. On the other hand, `disk-like' fields exhibit rounder red clumps with
significant luminosity width, lack an obvious horizontal branch and show
evidence for recent star formation (~0.25 - 2.0 Gyr ago). We compare the
spatial and line-of-sight distribution of stream-like fields with a recent
simulation of the giant stream progenitor orbit and find an excellent
agreement. These fields, found across the face of M31, attest to the high
degree of pollution caused by this event. Disk-like material resides in the
extended disk structure of M31 and is detected out to 44 kpc (projected); the
uniform populations in these fields, including the ubiquitous presence of young
populations, and the strong rotation reported elsewhere are most consistent
with a scenario in which this structure has formed through heating and
disruption of the existing thin disk, perhaps due to the impact of the giant
stream progenitor. Our comparative analysis sheds new light on the likely
composition of two of the ultra-deep pointings formerly presented as pure outer
disk and pure halo in the literature.


title: Rapport de recherche sur le probl\`eme du plus court chemin contraint

abstract:
  This article provides an overview of the performance and the theoretical
complexity of approximate and exact methods for various versions of the
shortest path problem. The proposed study aims to improve the resolution of a
more general covering problem within a column generation scheme in which the
shortest path problem is the sub-problem.


title:
Combinatorial realization of the Thom-Smale complex via discrete Morse
  theory

abstract:
  In the case of smooth manifolds, we use Forman's discrete Morse theory to
realize combinatorially any Thom-Smale complex coming from a smooth Morse
function by a couple triangulation-discrete Morse function. As an application,
we prove that any Euler structure on a smooth oriented closed 3-manifold has a
particular realization by a complete matching on the Hasse diagram of a
triangulation of the manifold.


title:
Griffiths-McCoy singularities in random quantum spin chains: Exact
  results

abstract:
  We consider random quantum (tight-binding, XX and Ising) spin chains in the
off-critical region and study their Griffiths-McCoy singularities. These are
obtained from the density of states of the low-energy excitations, which is
calculated exactly by the Dyson-Schmidt method. In large finite systems the
low-energy excitations are shown to follow the statistics of extremes and their
distribution is given by the Fr\'echet form. Relation between the Dyson-Schmidt
technique and the strong disorder renormalization group method is also
discussed.


title:
Critical points in coupled Potts models and critical phases in coupled
  loop models

abstract:
  We show how to couple two critical Q-state Potts models to yield a new
self-dual critical point. We also present strong evidence of a dense critical
phase near this critical point when the Potts models are defined in their
completely packed loop representations. In the continuum limit, the new
critical point is described by an SU(2) coset conformal field theory, while in
this limit of the the critical phase, the two loop models decouple. Using a
combination of exact results and numerics, we also obtain the phase diagram in
the presence of vacancies. We generalize these results to coupling two Potts
models at different Q.


title:
Modeling Spacing Distribution of Queuing Vehicles in Front of a
  Signalized Junction Using Random-Matrix Theory

abstract:
  Modeling of headway/spacing between two consecutive vehicles has many
applications in traffic flow theory and transport practice. Most known
approaches only study the vehicles running on freeways. In this paper, we
propose a model to explain the spacing distribution of queuing vehicles in
front of a signalized junction based on random-matrix theory. We show that the
recently measured spacing distribution data well fit the spacing distribution
of a Gaussian symplectic ensemble (GSE). These results are also compared with
the spacing distribution observed for car parking problem. Why
vehicle-stationary-queuing and vehicle-parking have different spacing
distributions (GSE vs GUE) seems to lie in the difference of driving patterns.


title: Morphism of T*-Representations

abstract:
  Importance of theorem dedicated to isomorphisms consist in statement that
they allow to identify different mathematical objects which have something
common from the point of view of certain model. This paper considers morphisms
of \Ts representation of $\mathfrak{F}$\Hyph algebra and morphisms of \Ts
representation of fibered $\mathfrak{F}$\Hyph algebra.


title:
Isometric Immersions of Hypersurfaces in 4-dimensional Manifolds via
  Spinors

abstract:
  We give a spinorial characterization of isometrically immersed hypersurfaces
into 4-dimensional space forms and product spaces $\M^3(\kappa)\times\R$, in
terms of the existence of particular spinor fields, called generalized Killing
spinors or equivalently solutions of a Dirac equation. This generalizes to
higher dimensions several recent results for surfaces by T. Friedrich, B. Morel
and the two authors. The main argument is the interpretation of the
energy-momentum tensor of a generalized Killing spinor as the second
fundamental form, possibly up to a tensor depending on the ambient space. As an
application, we deduce a non-existence result for hypersurfaces in the
4-dimensional Euclidean space.


title:
Deconvolution of confocal microscopy images using proximal iteration and
  sparse representations

abstract:
  We propose a deconvolution algorithm for images blurred and degraded by a
Poisson noise. The algorithm uses a fast proximal backward-forward splitting
iteration. This iteration minimizes an energy which combines a
\textit{non-linear} data fidelity term, adapted to Poisson noise, and a
non-smooth sparsity-promoting regularization (e.g $\ell_1$-norm) over the image
representation coefficients in some dictionary of transforms (e.g. wavelets,
curvelets). Our results on simulated microscopy images of neurons and cells are
confronted to some state-of-the-art algorithms. They show that our approach is
very competitive, and as expected, the importance of the non-linearity due to
Poisson noise is more salient at low and medium intensities. Finally an
experiment on real fluorescent confocal microscopy data is reported.


title:
A proximal iteration for deconvolving Poisson noisy images using sparse
  representations

abstract:
  We propose an image deconvolution algorithm when the data is contaminated by
Poisson noise. The image to restore is assumed to be sparsely represented in a
dictionary of waveforms such as the wavelet or curvelet transforms. Our key
contributions are: First, we handle the Poisson noise properly by using the
Anscombe variance stabilizing transform leading to a {\it non-linear}
degradation equation with additive Gaussian noise. Second, the deconvolution
problem is formulated as the minimization of a convex functional with a
data-fidelity term reflecting the noise properties, and a non-smooth
sparsity-promoting penalties over the image representation coefficients (e.g.
$\ell_1$-norm). Third, a fast iterative backward-forward splitting algorithm is
proposed to solve the minimization problem. We derive existence and uniqueness
conditions of the solution, and establish convergence of the iterative
algorithm. Finally, a GCV-based model selection procedure is proposed to
objectively select the regularization parameter. Experimental results are
carried out to show the striking benefits gained from taking into account the
Poisson statistics of the noise. These results also suggest that using
sparse-domain regularization may be tractable in many deconvolution
applications with Poisson noise such as astronomy and microscopy.


title: A Markov Process Inspired Cellular Automata Model of Road Traffic

abstract:
  To provide a more accurate description of the driving behaviors in vehicle
queues, a namely Markov-Gap cellular automata model is proposed in this paper.
It views the variation of the gap between two consequent vehicles as a Markov
process whose stationary distribution corresponds to the observed distribution
of practical gaps. The multiformity of this Markov process provides the model
enough flexibility to describe various driving behaviors. Two examples are
given to show how to specialize it for different scenarios: usually mentioned
flows on freeways and start-up flows at signalized intersections. The agreement
between the empirical observations and the simulation results suggests the
soundness of this new approach.


title: One-Dimensional Traffic Flow Models: Theory and Computer Simulations

abstract:
  Theoretical advances in the study of non-equilibrium phenomena are briefly
reviewed with emphasis on steady state properties of one-dimensional driven
lattice gases. The presentation is focused on the totally asymmetric
simple-exclusion process (TASEP) with open boundary conditions: particles are
injected at the left end with rate alpha and removed at the right end with rate
beta. Depending on the values of these parameters, the model exhibits three
stationary phases, separated by lines of first- and second-order
non-equilibrium phase transitions. New simulation results on the power spectrum
of the fluctuating total number of particles in the different phases of the
system are presented. Our theoretical contribution concerns the approximate
evaluation of the power spectrum in the domain-wall picture of the coexisting
low- and high-density phases. Finally, we review some of our recent results on
the TASEP defined on an open network containing a double-chain section in the
middle. With the aid of a simple theory, which neglects correlations at the
junctions of the chain segments, the possible phase structures of the model are
found. Density profiles and nearest-neighbor correlations in the steady states
of the model at representative points of the phase diagram are obtained by
means of computer simulations. On the coexistence line cross-correlations are
found to exist between equivalent sites in the branches of the middle section.


title: On the maximal noise for stochastic and QCD traveling waves

abstract:
  Using the relation of a set of nonlinear Langevin equations with
reaction-diffusion processes, we note the existence of a maximal strength of
the noise for the stochastic traveling wave solutions of these equations. Its
determination is obtained using the field-theoretical analysis of
branching-annihilation random walks near the directed percolation transition.
We study its consequence for the stochastic
Fisher-Kolmogorov-Petrovsky-Piscounov equation. For the related Langevin
equation modeling the Quantum Chromodynamic nonlinear evolution of the gluon
density with rapidity, the physical maximal-noise limit may appear before the
directed percolation transition, due to a shift in the traveling-wave speed. In
this regime, an exact solution is known from a coalescence process.
Universality and other open problems and applications are discussed in the
outlook


title:
Equations of motion and conservation laws in a theory of stably
  stratified turbulence

abstract:
  The letter considers non-isothermal fluid flows and revises simplifications
of basic hydrodynamic equations for such flows arriving eventually to a
generalization of the Oberbeck-Boussinesq approximation valid for arbitrary
equation of state including both non-ideal gases as well as liquids. The
proposed approach is based on a suggested general definition of potential
temperature. Special attention is put on the energy conservation principle, and
it is shown that the proposed approximation exactly preserves the total
mechanical energy by approximate equations of motion. The principal importance
for any turbulent boundary layer model to respect the conservation laws is
emphasized explicitly.


title:
Gravitational Collapse of a Massless Scalar Field and a Perfect Fluid
  with Self-Similarity of the First Kind in (2+1) Dimensions

abstract:
  Self-similar solutions of a collapsing perfect fluid and a massless scalar
field with kinematic self-similarity of the first kind in 2+1 dimensions are
obtained. Their local and global properties of the solutions are studied. It is
found that some of them represent gravitational collapse, in which black holes
are always formed, and some may be interpreted as representing cosmological
models.


title: Cyclic p-roots of prime lengths p and related complex Hadamard matrices

abstract:
  In this paper it is proved, that for every prime number p, the set of cyclic
p-roots in C^p is finite. Moreover the number of cyclic p-roots counted with
multiplicity is equal to (2p-2)!/(p-1)!^2. In particular, the number of complex
circulant Hadamard matrices of size p, with diagonal entries equal to 1, is
less or equal to (2p-2)!/(p-1)!^2.


title:
On conformal invariant integrals involving spin one-half and spin-one
  particles

abstract:
  We consider the evaluation of D-dimensional conformal invariant integrals
which involve spin one-half and spin-one particles. The star-triangle relation
for the massless Yukawa theory is derived, and the longitudinal part of the
three-point Green function of massless QED is determined to the lowest order in
position space. The operator algebraic method of calculating massless Feynman
integrals is used for the evaluation.


title: Evolution of spiral galaxies in modified gravity: II- Gas dynamics

abstract:
  The stability of spiral galaxies is compared in modified Newtonian Dynamics
(MOND) and Newtonian dynamics with dark matter (DM). We extend our previous
simulations that involved pure stellar discs without gas, to deal with the
effects of gas dissipation and star formation. We also vary the interpolating
function between the MOND and Newtonian regime. Bar formation is compared in
both dynamics, from initial conditions identical in visible component. One
first result is that the MOND galaxy evolution is not affected by the choice of
the mu-function, it develops bars with the same frequency and strength. The
choice of the mu-function significantly changes the equivalent DM models, in
changing the dark matter to visible mass ratio and, therefore, changing the
stability. The introduction of gas shortens the timescale for bar formation in
the DM model, but is not significantly shortened in the MOND model. As a
consequence, with gas, the MOND and DM bar frequency histograms are now more
similar than without gas. The thickening of the plane occurs through vertical
resonance with the bar and peanut formation, and even more quickly with gas.
Since the mass gets more concentrated with gas, the radius of the peanut is
smaller, and the appearance of the pseudo-bulge is more boxy. The bar strength
difference is moderated by saturation, and feedback effects, like the bar
weakening or destruction by gas inflow due to gravity torques. Averaged over a
series of models representing the Hubble sequence, the MOND models have still
more bars, and stronger bars, than the equivalent DM models, better fitting the
observations. Gas inflows driven by bars produce accumulations at Lindblad
resonances, and MOND models can reproduce observed morphologies quite well, as
was found before in the Newtonian dynamics.


title: Spectral analysis of gluonic pole matrix elements for fragmentation

abstract:
  The non-vanishing of gluonic pole matrix elements can explain the appearance
of single spin asymmetries in high-energy scattering processes. We use a
spectator framework approach to investigate the spectral properties of
quark-quark-gluon correlators and use this to study gluonic pole matrix
elements. Such matrix elements appear in principle both for distribution
functions such as the Sivers function and fragmentation functions such as the
Collins function. We find that for a large class of spectator models, the
contribution of the gluonic pole matrix element in fragmentation functions
vanishes. This outcome is important in the study of universality for
fragmentation functions and confirms findings using a different approach.


title: Can the quark model be relativistic enough to include the parton model?

abstract:
  Since quarks are regarded as the most fundamental particles which constitute
hadrons that we observe in the real world, there are many theories about how
many of them are needed and what quantum numbers they carry. Another important
question is what keeps them inside the hadron, which is known to have
space-time extension. Since they are relativistic objects, how would the hadron
appear to observers in different Lorentz frames? The hadron moving with speed
close to that of light appears as a collection of Feynman's partons. In other
words, the same object looks differently to observers in two different frames,
as Einstein's energy-momentum relation takes different forms for those
observers. In order to explain this, it is necessary to construct a quantum
bound-state picture valid in all Lorentz frames. It is noted that Paul A. M.
Dirac studied this problem of constructing relativistic quantum mechanics
beginning in 1927. It is noted further that he published major papers in this
field in 1945, 1949, 1953, and in 1963. By combining these works by Dirac, it
is possible to construct a Lorentz-covariant theory which can explain hadronic
phenomena in the static and high-speed limits, as well as in between. It is
shown also that this Lorentz-covariant bound-state picture can explain what we
observe in high-energy laboratories, including the parton distribution function
and the behavior of the proton form factor.


title:
Global well posedness and scattering for the elliptic and non-elliptic
  derivative nonlinear Schrodinger equations with small data

abstract:
  We study the Cauchy problem for the generalized elliptic and non-elliptic
derivative nonlinear Schrodinger equations, the existence of the scattering
operators and the global well posedness of solutions with small data in Besov
spaces and in modulation spaces are obtained. In one spatial dimension, we get
the sharp well posedness result with small data in critical homogeneous Besov
spaces. As a by-product, the existence of the scattering operators with small
data is also shown. In order to show these results, the global versions of the
estimates for the maximal functions on the elliptic and non-elliptic
Schrodinger groups are established.


title:
Continuous growth models in terms of generalized logarithm and
  exponential functions

abstract:
  Consider the one-parameter generalizations of the logarithmic and exponential
functions which are obtained from the integration of non-symmetrical
hyperboles. These generalizations coincide to the one obtained in the context
of non-extensive thermostatistics. We show that these functions are suitable to
describe and unify the great majority of continuous growth models, which we
briefly review. Physical interpretation to the generalization function
parameter is given for the Richards' model, which has an underlying microscopic
model to justify it.


title:
Small gaps between almost primes, the parity problem, and some
  conjectures of Erdos on consecutive integers

abstract:
  In a previous paper, the authors proved that in any system of three linear
forms satisfying obvious necessary local conditions, there are at least two
forms that infinitely often assume $E_2$-values; i.e., values that are products
of exactly two primes. We use that result to prove that there are inifinitely
many integers $x$ that simultaneously satisfy $$\omega(x)=\omega(x+1)=4,
\Omega(x)=\Omega(x+1)=5, \text{and} d(x)=d(x+1)=24.$$ Here, $\omega(x),
\Omega(x), d(x)$ represent the number of prime divisors of $x$, the number of
prime power divisors of $x$, and the number of divisors of $x$, respectively.
We also prove similar theorems where $x+1$ is replaced by $x+b$ for an
arbitrary positive integer $b$. Our results sharpen earlier work of
Heath-Brown, Pinner, and Schlage-Puchta.


title: Non-Gaussianity in three fluid curvaton model

abstract:
  The generation of non-gaussianity is studied in a three fluid curvaton model.
By utilizing second order perturbation theory we derive general formulae for
the large scale temperature fluctuation and non-gaussianity parameter,
$f_{NL}$, that includes the possibility of a non-adiabatic final state. In the
adiabatic limit we recover previously known results. The results are applied to
a three fluid curvaton model where the curvaton decays into radiation and
matter. We find that the amount of non-gaussianity decreases as the final state
of the system becomes more adiabatic and that the generated non-gaussianity in
the scenario is small, $|f_{NL}| \sim \mathcal{O}(1)$.


title:
Quantum radiation force on a moving mirror with Dirichlet and Neumann
  boundary conditions at vacuum, finite temperature and coherent states

abstract:
  We consider a real massless scalar field in a two-dimensional spacetime,
satisfying Dirichlet or Neumann boundary condition at the instantaneous
position of a moving boundary. For a relativistic law of motion, we show that
Dirichlet and Neumann boundary conditions yield the same radiation force on a
moving mirror when the initial field state is invariant under time
translations. We obtain the exact formulas for the energy density of the field
and the radiation force on the boundary for vacuum, thermal and coherent state.
In the nonrelativistic limit, our results coincide with those found in the
literature.


title: Maximal Orders in the Design of Dense Space-Time Lattice Codes

abstract:
  We construct explicit rate-one, full-diversity, geometrically dense matrix
lattices with large, non-vanishing determinants (NVD) for four transmit antenna
multiple-input single-output (MISO) space-time (ST) applications. The
constructions are based on the theory of rings of algebraic integers and
related subrings of the Hamiltonian quaternions and can be extended to a larger
number of Tx antennas. The usage of ideals guarantees a non-vanishing
determinant larger than one and an easy way to present the exact proofs for the
minimum determinants. The idea of finding denser sublattices within a given
division algebra is then generalized to a multiple-input multiple-output (MIMO)
case with an arbitrary number of Tx antennas by using the theory of cyclic
division algebras (CDA) and maximal orders. It is also shown that the explicit
constructions in this paper all have a simple decoding method based on sphere
decoding. Related to the decoding complexity, the notion of sensitivity is
introduced, and experimental evidence indicating a connection between
sensitivity, decoding complexity and performance is provided. Simulations in a
quasi-static Rayleigh fading channel show that our dense quaternionic
constructions outperform both the earlier rectangular lattices and the rotated
ABBA lattice as well as the DAST lattice. We also show that our quaternionic
lattice is better than the DAST lattice in terms of the diversity-multiplexing
gain tradeoff.


title: Antideuteron fluxes from dark matter annihilation in diffusion models

abstract:
  Antideuterons are among the most promising galactic cosmic ray-related
targets for dark matter indirect detection. Currently only upper limits exist
on the flux, but the development of new experiments, such as GAPS and AMS-02,
provides exciting perspectives for a positive measurement in the near future.
In this Paper, we present a novel and updated calculation of both the secondary
and primary antideuteron fluxes. We employ a two-zone diffusion model which
successfully reproduces cosmic-ray nuclear data and the observed antiproton
flux. We review the nuclear and astrophysical uncertainties and provide an up
to date secondary (i.e. background) antideuteron flux. The primary (i.e.
signal) contribution is calculated for generic WIMPs annihilating in the
galactic halo: we explicitly consider and quantify the various sources of
uncertainty in the theoretical evaluations. Propagation uncertainties, as is
the case of antiprotons, are sizeable. Nevertheless, antideuterons offer an
exciting target for indirect dark matter detection for low and intermediate
mass WIMP dark matter. We then show the reaching capabilities of the future
experiments for neutralino dark matter in a variety of supersymmetric models.


title: Channel and carrier adapted quantum error correction

abstract:
  The paper has been withdrawn by the autors. The proposed code is not working
because orthogonality.


title: On the statistical-mechanical meaning of the Bousso bound

abstract:
  The Bousso entropy bound, in its generalized form, is investigated for the
case of perfect fluids at local thermodynamic equilibrium and evidence is found
that the bound is satisfied if and only if a certain local thermodynamic
property holds, emerging when the attempt is made to apply the bound to thin
layers of matter. This property consists in the existence of an ultimate lower
limit l* to the thickness of the slices for which a statistical-mechanical
description is viable, depending l* on the thermodynamical variables which
define the state of the system locally. This limiting scale, found to be in
general much larger than the Planck scale (so that no Planck scale physics must
be necessarily invoked to justify it), appears not related to gravity and this
suggests that the generalized entropy bound is likely to be rooted on
conventional flat-spacetime statistical mechanics, with the maximum admitted
entropy being however actually determined also by gravity.
  Some examples of ideal fluids are considered in order to identify the
mechanisms which can set a lower limit to the statistical-mechanical
description and these systems are found to respect the lower limiting scale l*.
The photon gas, in particular, appears to seemingly saturate this limiting
scale and the consequence is drawn that for systems consisting of a single
slice of a photon gas with thickness l*, the generalized Bousso bound is
saturated. It is argued that this seems to open the way to a peculiar
understanding of black hole entropy: if an entropy can meaningfully (i.e. with
a second law) be assigned to a black hole, the value A/4 for it (where A is the
area of the black hole) is required simply by (conventional) statistical
mechanics coupled to general relativity.