title: Microscopic Analysis for Decoupling Principle of Linear Vector Channel

abstract:
  This paper studies the decoupling principle of a linear vector channel, which
is an extension of CDMA and MIMO channels. We show that the scalar-channel
characterization obtained via the decoupling principle is valid not only for
collections of a large number of elements of input vector, as discussed in
previous studies, but also for individual elements of input vector, i.e. the
linear vector channel for individual elements of channel input vector is
decomposed into a bank of independent scalar Gaussian channels in the
large-system limit, where dimensions of channel input and output are both sent
to infinity while their ratio fixed.


title:
Sub-Hz line width diode lasers by stabilization to vibrationally and
  thermally compensated ULE Fabry-Perot cavities

abstract:
  We achieved a 0.5 Hz optical beat note line width with ~ 0.1 Hz/s frequency
drift at 972 nm between two external cavity diode lasers independently
stabilized to two vertically mounted Fabry-Perot (FP) reference cavities.
Vertical FP reference cavities are suspended in mid-plane such that the
influence of vertical vibrations to the mirror separation is significantly
suppressed. This makes the setup virtually immune for vertical vibrations that
are more difficult to isolate than the horizontal vibrations. To compensate for
thermal drifts the FP spacers are made from Ultra-Low-Expansion (ULE) glass
which possesses a zero linear expansion coefficient. A new design using Peltier
elements in vacuum allows operation at an optimal temperature where the
quadratic temperature expansion of the ULE could be eliminated as well. The
measured linear drift of such ULE FP cavity of 63 mHz/s was due to material
aging and the residual frequency fluctuations were less than 40 Hz during 16
hours of measurement. Some part of the temperature-caused drift is attributed
to the thermal expansion of the mirror coatings. High-frequency thermal
fluctuations that cause vibrations of the mirror surfaces limit the stability
of a well designed reference cavity. By comparing two similar laser systems we
obtain an Allan instability of 2*10-15 between 0.1 and 10 s averaging time,
which is close to the theoretical thermal noise limit.


title:
Altitude dependence of fluorescence light emission by extensive air
  showers

abstract:
  Fluorescence light is induced by extensive air showers while developing in
the Earth's atmosphere. The number of emitted fluorescence photons depends on
the conditions of the air and on the energy deposited by the shower particles
at every stage of the development. In a previous model calculation, the
pressure and temperature dependences of the fluorescence yield have been
studied on the basis of kinetic gas theory, assuming temperature-independent
molecular collision cross-sections. In this work we investigate the importance
of temperature-dependent collision cross-sections and of water vapour quenching
on the expected fluorescence yield. The calculations will be applied to
simulated air showers while using actual atmospheric profiles to estimate the
influence on the reconstructed energy of extensive air showers.


title: Nanostructuring lithium niobate substrates by focused ion beam milling

abstract:
  We report on two novel ways for patterning Lithium Niobate (LN) at
submicronic scale by means of focused ion beam (FIB) bombardment. The first
method consists of direct FIB milling on LiNbO3 and the second one is a
combination of FIB milling on a deposited metallic layer and subsequent RIE
(Reactive Ion Etching) etching. FIB images show in both cases homogeneous
structures with well reproduced periodicity. These methods open the way to the
fabrication of photonic crystals on LiNbO3 substrates.


title:
Solution of the spherically symmetric linear thermoviscoelastic problem
  in the inertia-free limit

abstract:
  The coupling between mechanical and thermal properties due to thermal
expansion complicates the problem of measuring frequency-dependent
thermoviscoelastic properties, in particular for highly viscous liquids. A
simplification arises if there is spherical symmetry where - as detailed in the
present paper - the thermoviscoelastic problem may be solved analytically in
the inertia-free limit, i.e., the limit where the sample is much smaller than
the wavelength of sound waves at the frequencies of interest. As for the
one-dimensional thermoviscoelastic problem [Christensen et al., Phys. Rev. E
75, 041502 (2007)], the solution is conveniently formulated in terms of the
so-called transfer matrix, which directly links to the boundary conditions that
can be experimentally controlled. Once the transfer matrix has been calculated,
it is fairly easy to deduce the equations describing various experimentally
relevant special cases (boundary conditions that are adiabatic, isothermal,
isochoric, etc.). In most situations the relevant frequency-dependent specific
heat is the longitudinal specific heat, a quantity that is in between the
isochoric and isobaric frequency-dependent specific heats.


title: Proving Abelian dominance in the Wilson loop operator

abstract:
  We give a gauge-independent definition of Abelian dominance in the Wilson
loop operator and a constructive proof of the Abelian dominance through a
non-Abelian Stokes theorem via lattice regularization. We obtain a necessary
and sufficient condition for the Abelian dominance in the Wilson loop operator
in the fundamental representation. In the continuum limit, the gauge field is
decomposed such that the Abelian dominance is given as an exact operator
relation, leading to the exact (100%) Abelian dominance. On a lattice, we
estimate the deviation from the exact Abelian dominance due to non-zero lattice
spacing. In order to obtain the best Abelian dominance on a lattice by
minimizing the deviation, we discuss how to decompose the gauge field variable
into the dominant part and the remaining one to be decoupled on a lattice.


title: Replica theory for Levy spin glasses

abstract:
  Infinite-range spin-glass models with Levy-distributed interactions show a
spin-glass transition with similarities to both the Sherrington-Kirkpatrick
model and to disordered spin systems on finite connectivity random graphs.
Despite the diverging moments of the coupling distribution the transition can
be analyzed within the replica approach by working at imaginary temperature.
Within the replica-symmetric approximation a self-consistent equation for the
distribution of local fields is derived and from the instability of the
paramagnetic solution to this equation the glass-transition temperature is
determined. The role of the percolation of rare strong bonds for the transition
is elucidated. The results partly agree and partly disagree with those obtained
within the cavity approach. Numerical simulations using parallel tempering are
in agreement with the transition temperatures found.


title: Putting M theory on a computer

abstract:
  We propose a non-lattice simulation for studying supersymmetric matrix
quantum mechanics in a non-perturbative manner. In particular, our method
enables us to put M theory on a computer based on its matrix formulation
proposed by Banks, Fischler, Shenker and Susskind. Here we present Monte Carlo
results of the same matrix model but in a different parameter region, which
corresponds to the 't Hooft large-N limit at finite temperature. In the strong
coupling limit the model has a dual description in terms of the N D0-brane
solution in 10d type IIA supergravity. Our results provide highly nontrivial
evidences for the conjectured duality. In particular, the energy (and hence the
entropy) of the non-extremal black hole has been reproduced by solving directly
the strongly coupled dynamics of the D0-brane effective theory.


title: On the inheriting of the property $C_\pi$ by some normal subgroups

abstract:
  In the paper we prove that the Hall property $C_\pi$ is inherited by normal
subgroups which index is a $\pi'$-number.


title: Multivariate Meta-Analysis: Contributions of Ingram Olkin

abstract:
  The research on meta-analysis and particularly multivariate meta-analysis has
been greatly influenced by the work of Ingram Olkin. This paper documents
Olkin's contributions by way of citation counts and outlines several areas of
contribution by Olkin and his academic descendants. An academic family tree is
provided.


title: Lagrangian reconstruction of cosmic velocity fields

abstract:
  We discuss a Lagrangian reconstruction method of the velocity field from
galaxy redshift catalog that takes its root in the Euler equation. This results
in a ``functional'' of the velocity field which must be minimized. This is
helped by an algorithm solving the minimization of cost-flow problems. The
results obtained by applying this method to cosmological problems are shown and
boundary effects happening in real observational cases are then discussed.
Finally, a statistical model of the errors made by the reconstruction method is
proposed.


title: Experiments with moduli of quadrilaterals II

abstract:
  The numerical performance of the AFEM method of K. Samuelsson is studied in
the computation of moduli of quadrilaterals.


title: The Formation and Evolution of Prestellar Cores

abstract:
  Improving our understanding of the initial conditions and earliest stages of
star formation is crucial to gain insight into the origin of stellar masses,
multiple systems, and protoplanetary disks. We review the properties of
low-mass dense cores as derived from recent millimeter/submillimeter
observations of nearby molecular clouds and discuss them in the context of
various contemporary scenarios for cloud core formation and evolution. None of
the extreme scenarios can explain all observations. Pure laminar ambipolar
diffusion has relatively long growth times for typical ionization levels and
has difficulty satisfying core lifetime constraints. Purely hydrodynamic
pictures have trouble accounting for the inefficiency of core formation and the
detailed velocity structure of individual cores. A possible favorable scenario
is a mixed model involving gravitational fragmentation of turbulent molecular
clouds close to magnetic criticality. The evolution of the magnetic field and
angular momentum in individual cloud cores after the onset of gravitational
collapse is also discussed. In particular, we stress the importance of
radiation-magnetohydrodynamical processes and resistive MHD effects during the
protostellar phase. We also emphasize the role of the formation of the
short-lived first (protostellar) core in providing a chance for
sub-fragmentation into binary systems and triggering MHD outflows. Future
submillimeter facilities such as Herschel and ALMA will soon provide major new
observational constraints in this field. On the theoretical side, an important
challenge for the future will be to link the formation of molecular clouds and
prestellar cores in a coherent picture.


title: Strain selectivity of SiGe wet chemical etchants

abstract:
  We investigate the effect of strain on the etching rate of two SiGe wet
etchants, namely NH4OH:H2O2 and H2O2. For both etchants, we found that there is
no appreciable strain selectivity, i.e. the etching rates do not depend on the
actual strain state in the SiGe films. Instead, for the NH4OH:H2O2 solution,
the rates are primarily determined by the Ge content. Finally, we show that
both etchants are isotropic with no preferential etching of particular facets.


title: Evidence for hyperconductivity and thermal superconductivity

abstract:
  Physical explanation of hyperconductivity and thermal superconductivity
existence is done in given article on the basis of inherent atomic nuclei
oscillations in atoms of materials which are connected with electrons and
phonons and in accordance with the well known Bardeen-Cooper-Schrieffer
superconductivity theory.
  It is shown that hyperconductivity is the self-supporting, independent
physical phenomenon which is caused by oscillations of atomic nuclei in atoms
of materials and the minimal temperature of its existence does not reach
absolute zero temperature. Hyperconductivity represents the typical dynamic
condition of a material with zero electrical and zero thermal resistances.


title: Perspectives in Global Helioseismology, and the Road Ahead

abstract:
  We review the impact of global helioseismology on key questions concerning
the internal structure and dynamics of the Sun, and consider the exciting
challenges the field faces as it enters a fourth decade of science
exploitation. We do so with an eye on the past, looking at the perspectives
global helioseismology offered in its earlier phases, in particular the
mid-to-late 1970s and the 1980s. We look at how modern, higher-quality, longer
datasets coupled with new developments in analysis, have altered, refined, and
changed some of those perspectives, and opened others that were not previously
available for study. We finish by discussing outstanding challenges and
questions for the field.


title: Anti-de Sitter Quotients, Bubbles of Nothing, and Black Holes

abstract:
  In 3+1 dimensions there are anti-de quotients which are black holes with
toroidal event horizons. By analytic continuation of the Schwarzschild-anti-de
Sitter solution (and appropriate identifications) one finds two one parameter
families of spacetimes that contain these quotient black holes. One of these
families consists of B-metrics ("bubbles of nothing"), the other of black hole
spacetimes. All of them have vanishing conserved charges.


title: On two-point correlation functions in AdS/QCD

abstract:
  In this paper we study the chiral symmetry breaking in the hard wall AdS/QCD
model. We solve the equations of motion up to the second order at large
momentum and obtain the first few terms in the expansion of the "left-right"
correlator, which is the measure of symmetry breaking. We study the dependence
on AdS radius to get the result as the series in t'Hooft constant.


title: Baryons with D5 Brane Vertex and k-Quarks

abstract:
  We study baryons in SU(N) gauge theories, according to the gauge/string
correspondence based on IIB string theory. The D5 brane, in which $N$
fundamental strings are dissolved as a color singlet, is introduced as the
baryon vertex, and its configurations are studied. We find point- and
split-type of vertex. In the latter case, two cusps appears and they are
connected by a flux composed of dissolved fundamental strings with a definite
tension. In both cases, $N$ fundamental quarks are attached on the cusp(s) of
the vertex to cancel the surface term. In the confining phase, we find that the
quark in the baryon feel the potential increasing linearly with the distance
from the vertex. At finite temperature and in the deconfining phase, we find a
stable k-quarks "baryons", which are constructed of arbitrary number of $k(<N)$
quarks.


title:
Classification of irreducible Harish-Chandra modules over the
  loop-Virasoro algebra

abstract:
  The loop-Virasoro algebra is the Lie algebra of the tensor product of the
Virasoro algebra and the Laurent polynomial algebra. This paper classifies
irreducible Harish-Chandra modules over the loop-Virasoro algebra, which turn
out to be highest weight modules, lowest weight modules and evaluation modules
of the intermediate series (all wight spaces are 1-dimensional). As a
by-product, we obtain a classification of irreducible Harish-Chandra modules
over truncated Virasoro algebras.
  We also determine the necessary and sufficient conditions for highest weigh
irreducible modules over the loop-Virasoro algebra to have all finite
dimensional weight spaces, as well as the necessary and sufficient conditions
for highest weigh Verma modules to be irreducible.


title: Johnson's homomorphisms and the Arakelov-Green function

abstract:
  Let $\pi: {\mathbb C}_g \to {\mathbb M}_g$ be the universal family of compact
Riemann surfaces of genus $g \geq 1$. We introduce a real-valued function on
the moduli space ${\mathbb M}_g$ and compute the first and the second
variations of the function. As a consequence we relate the Chern form of the
relative tangent bundle $T_{{\mathbb C}_g/{\mathbb M}_g}$ induced by the
Arakelov-Green function with differential forms on ${\mathbb C}_g$ induced by a
flat connection whose holonomy gives Johnson's homomorphisms on the mapping
class group.


title: Statistical Ensembles with Fluctuating Extensive Quantities

abstract:
  We suggest an extension of the standard concept of statistical ensembles.
Namely, we introduce a class of ensembles with extensive quantities fluctuating
according to an externally given distribution. As an example the influence of
energy fluctuations on multiplicity fluctuations in limited segments of
momentum space for a classical ultra-relativistic gas is considered.


title: Forecasting volatility with the multifractal random walk model

abstract:
  We study the problem of forecasting volatility for the multifractal random
walk model. In order to avoid the ill posed problem of estimating the
correlation length T of the model, we introduce a limiting object defined in a
quotient space; formally, this object is an infinite range logvolatility. For
this object and the non limiting object, we obtain precise prediction formulas
and we apply them to the problem of forecasting volatility and pricing options
with the MRW model in the absence of a reliable estimate of the average
volatility and T.


title: Majorization: Here, There and Everywhere

abstract:
  The appearance of Marshall and Olkin's 1979 book on inequalities with special
emphasis on majorization generated a surge of interest in potential
applications of majorization and Schur convexity in a broad spectrum of fields.
After 25 years this continues to be the case. The present article presents a
sampling of the diverse areas in which majorization has been found to be useful
in the past 25 years.


title: Ricci solitons in contact metric manifolds

abstract:
  In $N(k)$-contact metric manifolds and/or $(k,\mu)$-manifolds, gradient Ricci
solitons, compact Ricci solitons and Ricci solitons with $V$ pointwise
collinear with the structure vector field $\xi $ are studied.


title:
Lattice Boltzmann simulations of capillary filling: finite vapour
  density effects

abstract:
  Numerical simulations of two-dimensional capillary filling using the
pseudo-potential lattice Boltzmann model for multiphase fluids are presented,
with special emphasis on the role of finite-vapour density effects. It is shown
that whenever the density of the light-phase exceeds about ten percent of the
dense phase, the front motion proceeds through a combined effect of capillary
advection and condensation. As a result, under these conditions, the front
proceeds at a higher speed as compared to the Washburn prediction. It is
suggested that such an acceleration effect might be observed in experiments
performed sufficiently close to critical conditions


title:
Generalization of Jeffreys' divergence based priors for Bayesian
  hypothesis testing

abstract:
  In this paper we introduce objective proper prior distributions for
hypothesis testing and model selection based on measures of divergence between
the competing models; we call them divergence based (DB) priors. DB priors have
simple forms and desirable properties, like information (finite sample)
consistency; often, they are similar to other existing proposals like the
intrinsic priors; moreover, in normal linear models scenarios, they exactly
reproduce Jeffreys-Zellner-Siow priors. Most importantly, in challenging
scenarios such as irregular models and mixture models, the DB priors are well
defined and very reasonable, while alternative proposals are not. We derive
approximations to the DB priors as well as MCMC and asymptotic expressions for
the associated Bayes factors.


title:
Capillary filling using Lattice Boltzmann Equations: the case of
  multi-component fluids

abstract:
  We present a systematic study of capillary filling for a binary fluid by
using mesoscopic a lattice Boltzmann model describing a diffusive interface
moving at a given contact angle with respect to the walls. We compare the
numerical results at changing the ratio the typical size of the capillary, H,
and the wettability of walls. Numerical results yield quantitative agreement
with the Washburn law in all cases, provided the channel lenght is sufficiently
larger then the interface width. We also show that in the initial stage of the
filling process, transient behaviour induced by inertial effects are under
control in our lattice Boltzmann equation and in good agreement with the
phenomenology of capillary filling. Finally, at variance with multiphase LB
simulations, velocity and pressure profiles evolve under the sole effect of
capillary drive all along the channel.


title: Time variability of X-ray sources in the M 31 centre field

abstract:
  We present an extension to our XMM-Newton X-ray source catalogue of M 31,
containing 39 newly found sources. In order to classify and identify more of
the sources we search for X-ray time variability in XMM-Newton archival data of
the M 31 centre field.
  As a source list we used our extended catalogue based on observations
covering the time span from June 2000 to July 2004. We then determined the flux
or at least an upper limit at the source positions for each observation.
Deriving the flux ratios for the different observations and searching for the
maximum flux difference we determined variability factors. We also calculated
the significance of the flux ratios.
  Using hardness ratios, X-ray variability and cross correlations with
catalogues in the X-ray, optical, infrared and radio regimes, we detected three
super soft source candidates, one supernova remnant and six supernova remnant
candidates, one globular cluster candidate, three X-ray binaries and four X-ray
binary candidates. Additionally we identified one foreground star candidate and
classified fifteen sources with hard spectra, which may either be X-ray
binaries or Crab-like supernova remnants in M 31 or background active galactic
nuclei. The remaining five sources stay unidentified or without classification.
Based on the time variability results we suggest six sources, which were
formerly classified as "hard", to be X-ray binary candidates. The
classification of one other source (XMMM31 J004236.7+411349) as a supernova
remnant, has to be rejected due to the distinct time variability we found. We
now classify this source as a foreground star.


title:
Many-body correlations and Isospin equilibration in multi-fragmentation
  processes

abstract:
  Isospin equilibration in multi-fragmentation processes is studied for the
system $^{40}Cl+^{28}Si$ at 40 MeV/nucleon. The investigation is performed
through semiclassical microscopic many-body calculations based on the CoMD-II
model. The study has been developed to describe isospin equilibration processes
involving the gas and liquid "phases" of the total system formed in the
collision processes. The investigation of the behavior of this observable in
terms of the repulsive/attractive action of the symmetry term, highlights
many-body correlations which are absent in semiclassical mean-field approaches.


title: A new treatment of mixed virtual and real IR-singularities

abstract:
  We discuss the determination of the infrared singularities of massive
one-loop 5-point functions with Mellin-Barnes (MB) representations. Massless
internal lines may lead to poles in the $\eps$ expansion of the Feynman
diagram, while unresolved massless final state particles give endpoint
singularities of the phase space integrals. MB integrals are an elegant tool
for their common treatment. An evaluation by taking residues leads to inverse
binomial sums.


title: A permutation model for free random variables and its classical analogue

abstract:
  In this paper, we generalize a permutation model for free random variables
which was first proposed by Biane in \cite{biane}. We also construct its
classical probability analogue, by replacing the group of permutations with the
group of subsets of a finite set endowed with the symmetric difference
operation. These constructions provide new discrete approximations of the
respective free and classical Wiener chaos. As a consequence, we obtain
explicit examples of non random matrices which are asymptotically free or
independent. The moments and the free (resp. classical) cumulants of the
limiting distributions are expressed in terms of a special subset of
(noncrossing) pairings. At the end of the paper we present some combinatorial
applications of our results.


title: Quantum entanglement analysis based on abstract interpretation

abstract:
  Entanglement is a non local property of quantum states which has no classical
counterpart and plays a decisive role in quantum information theory. Several
protocols, like the teleportation, are based on quantum entangled states.
Moreover, any quantum algorithm which does not create entanglement can be
efficiently simulated on a classical computer. The exact role of the
entanglement is nevertheless not well understood. Since an exact analysis of
entanglement evolution induces an exponential slowdown, we consider
approximative analysis based on the framework of abstract interpretation. In
this paper, a concrete quantum semantics based on superoperators is associated
with a simple quantum programming language. The representation of entanglement,
i.e. the design of the abstract domain is a key issue. A representation of
entanglement as a partition of the memory is chosen. An abstract semantics is
introduced, and the soundness of the approximation is proven.


title:
Mixed QCD-electroweak contributions to Higgs-plus-dijet production at
  the LHC

abstract:
  We present a calculation of interference effects in Hjj production via gluon
fusion and via vector boson fusion, respectively, beyond tree level. We
reproduce results recently discussed in the literature, but go beyond this
calculation by including a class of diagrams not considered previously. Special
care is taken in developing a numerically stable and flexible parton level
Monte-Carlo program which allows us to study cross sections and kinematic
distributions within experimentally relevant selection cuts. Loop-induced
interference contributions are found to exhibit kinematical distributions
different in shape from vector boson fusion. Due to the small interference
cross section and cancelation among different quark flavor contributions their
impact on the signal process is found to be negligible in all regions of phase
space, however.


title: Orbifold construction of the modes of the Poincare dodecahedral space

abstract:
  We provide a new construction of the modes of the Poincare dodecahedral space
S^3/I*. The construction uses the Hopf map, Maxwell's multipole vectors and
orbifolds. In particular, the *235-orbifold serves as a parameter space for the
modes of S^3/I* shedding new light on the geometrical significance of the
dimension of each space of $k$-modes, as well as on the modes themselves.


title:
Effects of the interaction between dark energy and dark matter on
  cosmological parameters

abstract:
  We examine the effects of possible phenomenological interactions between dark
energy and dark matter on cosmological parameters and their efficiency in
solving the coincidence problem. We work with two simple parameterizations of
the dynamical dark energy equation of state and the constant dark energy
equation of state. Using observational data coming from the new 182 Gold type
Ia supernova samples, the shift parameter of the Cosmic Microwave Background
given by the three-year Wilkinson Microwave Anisotropy Probe observations, and
the baryon acoustic oscillation measurement from the Sloan Digital Sky Survey,
we perform a statistical joint analysis of different forms of phenomenological
interactions between dark energy and dark matter.


title: Solvable Subgroups of Locally Compact Groups

abstract:
  It is shown that a closed solvable subgroup of a connected Lie group is
compactly generated. In particular, every discrete solvable subgroup of a
connected Lie group is finitely generated. Generalizations to locally compact
groups are discussed as far as they carry.


title: Proposal for chiral bosons search at LHC via their unique new signature

abstract:
  The resonance production of new chiral spin-1 bosons and their detection
through the Drell--Yan process at the CERN LHC is considered. Quantitative
evaluations of various differential cross-sections of the chiral bosons
production are made within the CalcHEP package. The new neutral chiral bosons
can be observed as a Breit--Wigner resonance peak in the invariant dilepton
mass distribution, as usual. However, unique new signatures of the chiral
bosons exist. First, there is no Jacobian peak in the lepton transverse
momentum distribution. Second, the lepton angular distribution in the
Collins-Soper frame for the high on-peak invariant masses of the lepton pairs
has a peculiar "swallowtail" shape.


title: Geometric approach to Ending Lamination Conjecture

abstract:
  We present a new proof of the bi-Lipschitz model theorem, which occupies the
main part of the Ending Lamination Conjecture proved by Minsky and
Brock-Canary-Minsky. Our proof is done by using techniques of standard
hyperbolic geometry as much as possible.


title: On instability of excited states of the nonlinear Schr\"odinger equation

abstract:
  We introduce a new notion of linear stability for standing waves of the
nonlinear Schr\"odinger equation (NLS) which requires not only that the
spectrum of the linearization be real, but also that the generalized kernel be
not degenerate and that the signature of all the positive eigenvalues be
positive. We prove that excited states of the NLS are not linearly stable in
this more restrictive sense. We then give a partial proof that this more
restrictive notion of linear stability is a necessary condition to have orbital
stability.


title:
Algorithms for Temperature-Aware Task Scheduling in Microprocessor
  Systems

abstract:
  We study scheduling problems motivated by recently developed techniques for
microprocessor thermal management at the operating systems level. The general
scenario can be described as follows. The microprocessor's temperature is
controlled by the hardware thermal management system that continuously monitors
the chip temperature and automatically reduces the processor's speed as soon as
the thermal threshold is exceeded. Some tasks are more CPU-intensive than other
and thus generate more heat during execution. The cooling system operates
non-stop, reducing (at an exponential rate) the deviation of the processor's
temperature from the ambient temperature. As a result, the processor's
temperature, and thus the performance as well, depends on the order of the task
execution. Given a variety of possible underlying architectures, models for
cooling and for hardware thermal management, as well as types of tasks, this
scenario gives rise to a plethora of interesting and never studied scheduling
problems.
  We focus on scheduling real-time jobs in a simplified model for cooling and
thermal management. A collection of unit-length jobs is given, each job
specified by its release time, deadline and heat contribution. If, at some time
step, the temperature of the system is t and the processor executes a job with
heat contribution h, then the temperature at the next step is (t+h)/2. The
temperature cannot exceed the given thermal threshold T. The objective is to
maximize the throughput, that is, the number of tasks that meet their
deadlines. We prove that, in the offline case, computing the optimum schedule
is NP-hard, even if all jobs are released at the same time. In the online case,
we show a 2-competitive deterministic algorithm and a matching lower bound.


title: Analyticity and propagation of plurisubharmonic singularities

abstract:
  A variant of Siu's analyticity theorem is proved for relative types of
plurisubharmonic functions. Some results on propagation of plurisubharmonic
singularities and maximality of pluricomplex Green functions with analytic
singularities are derived.


title:
Relaxation rate, diffusion approximation and Fick's law for inelastic
  scattering Boltzmann models

abstract:
  We consider the linear dissipative Boltzmann equation describing inelastic
interactions of particles with a fixed background. For the simplified model of
Maxwell molecules first, we give a complete spectral analysis, and deduce from
it the optimal rate of exponential convergence to equilibrium. Moreover we show
the convergence to the heat equation in the diffusive limit and compute
explicitely the diffusivity. Then for the physical model of hard spheres we use
a suitable entropy functional for which we prove explicit inequality between
the relative entropy and the production of entropy to get exponential
convergence to equilibrium with explicit rate. The proof is based on
inequalities between the entropy production functional for hard spheres and
Maxwell molecules. Mathematical proof of the convergence to some heat equation
in the diffusive limit is also given. From the last two points we deduce the
first explicit estimates on the diffusive coefficient in the Fick's law for
(inelastic hard-spheres) dissipative gases.


title: A Immirzi-like parameter for 3d quantum gravity

abstract:
  We study an Immirzi-like ambiguity in three-dimensional quantum gravity. It
shares some features with the Immirzi parameter of four-dimensional loop
quantum gravity: it does not affect the equations of motion, but modifies the
Poisson brackets and the constraint algebra at the canonical level. We focus on
the length operator and show how to define it through non-commuting fluxes. We
compute its spectrum and show the effect of this Immirzi-like ambiguity.
Finally, we extend these considerations to 4d gravity and show how the
different topological modifications of the action affect the canonical
structure of loop quantum gravity.


title: Lorentz Gauge Theory and Spinor Interaction

abstract:
  A gauge theory of the Lorentz group, based on the different behavior of
spinors and vectors under local transformations, is formulated in a flat
space-time and the role of the torsion field within the generalization to
curved space-time is briefly discussed. The spinor interaction with the new
gauge field is then analyzed assuming the time gauge and stationary solutions,
in the non-relativistic limit, are treated to generalize the Pauli equation.


title:
A Gr\"obner basis proof of the flat extension theorem for moment
  matrices

abstract:
  This paper has been withdrawn by the author since $U$ in Lemma 2 is in
general not a subspace.


title:
Hybridization between the conduction band and 3d orbitals in the
  oxide-based diluted magnetic semiconductor In$_{2-x}$V$_x$O$_3$

abstract:
  The electronic structure of In$_{2-x}$V$_x$O$_3$ ($x=0.08$) has been
investigated using photoemission spectroscopy (PES) and x-ray absorption
spectroscopy (XAS). The V $2p$ core-level PES and XAS spectra revealed
trivalent electronic state of the V ion, consistent with the substitution of
the V ion for the In site. The V 3d partial density of states obtained by the
resonant PES technique showed a sharp peak above the O $2p$ band. While the O
$1s$ XAS spectrum of In$_{2-x}$V$_x$O$_3$ was similar to that of In$_2$O$_3$,
there were differences in the In $3p$ and 3d XAS spectra between V-doped and
pure In$_2$O$_3$. The observations give clear evidence for hybridization
between the In conduction band and the V 3d orbitals in In$_{2-x}$V$_x$O$_3$.


title: The neutron transversity from semi-inclusive DIS off 3He

abstract:
  A calculation of nuclear effects in the extraction of neutron single spin
asymmetries in semi-inclusive deep inelastic scattering off 3He is described.
In the kinematics of forth-coming experiments at JLab, it is found that the
nuclear effects arising within an Impulse Approximation approach are under
control.


title:
XMMU J134736.6+173403: an eclipsing LMXB in quiescence or a peculiar
  AGN?

abstract:
  Aims. We report the discovery of a peculiar object observed serendipitously
with XMM-Newton. We present its timing and spectral properties and investigate
its optical counterpart. Methods. The light curve of the X-ray source, its
spectrum, and the spectrum of the best optical counterpart are presented and
analyzed. Results. The X-ray flux decreases by a factor of 6.5 within 1 h and
stays in a low state for at least 10 h, thereby suggesting the presence of an
eclipse. The spectrum is very soft, a power law with a slope of Gamma~2.8, and
does not change significantly before and after the flux drop. The source is
spatially coincident within few arc-seconds with a Seyfert~2 galaxy belonging
to a galaxy pair. Conclusions. Although the background AGN seems the best
counterpart, neither the temporal nor the spectral properties of the X-ray
source are compatible with it. We investigate the possibility of having a
foreground low-mass X-ray binary in quiescence, where the companion is not
detected in the optical wavelength.


title: On the microscopic basis of Newton's law of cooling and beyond

abstract:
  The microscopic basis of Newton's law of cooling and its modification when
the difference in temperature between the system and the surroundings is very
large is discussed. When the system of interest is interacting with a small
bath, the effect of the dynamical evolution of the bath variables is important
to find out its dynamical feedback on the system. As in the usual system-bath
approach, however, the bath is finally considered to be in thermal equilibrium
and thereby provides an effective generalization of the Born-Markov master
equation. It is shown that the cooling at early time is faster than that
predicted by Newton's law due to the dynamical feedback of the bath.


title: On non-formality of a simply-connected symplectic 8-manifold

abstract:
  We show an alternative construction of the first example of a
simply-connected compact symplectic non-formal 8-manifold given in
arXiv:math/0506449. We also give an alternative proof of its non-formality
using higher order Massey products.


title: Introduction to the Pinch Technique

abstract:
  These notes are a short introduction to the pinch technique. We present the
one-loop calculations for basic QCD Green's functions. The equivalence between
the pinch technique and the background field method is explicitly shown at the
one-loop level. We review the absorptive pinch technique in the last sections.
These lectures are a compilation of relevant papers on this subject and are
prepared for the third Modave Summer School in Mathematical Physics.


title: Majority-vote model on directed Erdos-Renyi random graphs

abstract:
  Through Monte Carlo Simulation, the well-known majority-vote model has been
studied with noise on directed random graphs. In order to characterize
completely the observed order-disorder phase transition, the critical noise
parameter $q_c$, as well as the critical exponents $beta/nu$, $gamma/nu$ and
$1/nu$ have been calculated as a function of the connectivity $z$ of the random
graph.


title: Optical surface waves supported and controlled by thermal waves

abstract:
  We address the formation of optical surface waves at the very edge of
semiconductor materials illuminated by modulated light beams that generate
thermal waves rapidly fading in the bulk material. We find families of
thresholdless surface waves which existing due to the combined action of
thermally-induced refractive index modulations and instantaneous Kerr-type
nonlinearity.


title:
Why does the recently proposed simple empirical formula for the lowest
  excitation energies work so well?

abstract:
  It has recently been shown that a simple empirical formula, in terms of the
mass number and the valence nucleon numbers, is able to describe the main
trends of the lowest excitation energies of the natural parity even multipole
states up to $10^+$ in even-even nuclei throughout the entire periodic table.
In an effort to understand why such a simple formula is so capable, we
investigate the possibility of associating each term of the empirical formula
with the specific part of the measured excitation energy graph.


title: The Weak Shock in the Core of the Perseus Cluster

abstract:
  The dissipation of energy from sound waves and weak shocks is one of the most
promising mechanisms for coupling AGN activity to the surrounding intracluster
medium (ICM), and so offsetting cooling in cluster cores. We present a detailed
analysis of the weak shock found in deep Chandra observations of the Perseus
cluster core. A comparison of the spectra either side of the shock front shows
that they are very similar. By performing a deprojection analysis of a sector
containing the shock, we produce temperature and density profiles across the
shock front. These show no evidence for a temperature jump coincident with the
density jump. To understand this result, we model the shock formation using 1D
hydrodynamic simulations including models with thermal conduction and gamma <
5/3 gas. These models do not agree well with the data, suggesting that further
physics is needed to explain the shock structure. We suggest that an
interaction between the shock and the H-alpha filaments could have a
significant effect on cooling the post-shock gas.
  We also calculate the thermal energy liberated by the weak shock. The total
energy in the shocked region is about 3.5 times the work needed to inflate the
bubbles adiabatically, and the power of the shock is around 6x10^44 erg/s per
bubble, just over 10^45 erg/s in total.


title: Electrical neutrality and pion modes in the two flavor PNJL model

abstract:
  We study the phase diagram and the pion modes in the electrically neutral two
flavor PNJL model. One of the main result of this paper is that when electrical
neutrality is required, pions do not condense in the ground state of the model:
the isospin chemical potential $\mu_I = -\mu_e/2$ is always smaller than the
value required for pion condensation to occur. Moreover we investigate on the
pions and $\sigma$ mass spectra. We find that the qualitative behavior of the
masses resembles that obtained in the NJL model. We close this paper by
studying the intriguing possibility that a bound state with the quantum numbers
of the pions can be formed above the chiral phase transition.


title:
A generalisation of the mass-sheet degeneracy producing ring-like
  artefacts in the lens mass distribution

abstract:
  The inversion of a gravitational lens system is, as is well known, plagued by
the so-called mass-sheet degeneracy: one can always rescale the density
distribution of the lens and add a constant-density mass-sheet such that the,
also properly rescaled, source plane is projected onto the same observed
images. For strong lensing systems, it is often claimed that this degeneracy is
broken as soon as two or more sources at different redshifts are available.
This is definitely true in the strict sense that it is then impossible to add a
constant-density mass-sheet to the rescaled density of the lens without
affecting the resulting images. However, often one can easily construct a more
general mass distribution -- instead of a constant-density sheet of mass --
which gives rise to the same effect: a uniform scaling of the sources involved
without affecting the observed images. We show that this can be achieved by
adding one or more circularly symmetric mass distributions, each with its own
center of symmetry, to the rescaled mass distribution of the original lens. As
it uses circularly symmetric distributions, this procedure can lead to the
introduction of ring shaped features in the mass distribution of the lens. In
this paper, we show explicitly how degenerate inversions for a given strong
lensing system can be constructed. It then becomes clear that many constraints
are needed to effectively break this degeneracy.


title: The Phase Diagram of Strongly-Interacting Matter

abstract:
  A fundamental question of physics is what ultimately happens to matter as it
is heated or compressed. In the realm of very high temperature and density the
fundamental degrees of freedom of the strong interaction, quarks and gluons,
come into play and a transition from matter consisting of confined baryons and
mesons to a state with 'liberated' quarks and gluons is expected. The study of
the possible phases of strongly-interacting matter is at the focus of many
research activities worldwide. In this article we discuss physical aspects of
the phase diagram, its relation to the evolution of the early universe as well
as the inner core of neutron stars. We also summarize recent progress in the
experimental study of hadronic or quark-gluon matter under extreme conditions
with ultrarelativistic nucleus-nucleus collisions.


title: Time and Dirac Observables in Friedmann Cosmologies

abstract:
  A cosmological time variable is emerged from the Hamiltonian formulation of
Friedmann model to measure the evolution of dynamical observables in the
theory. A set of observables has been identified for the theory on the null
hypersurfaces that its evolution is with respect to the volume clock introduced
by the cosmological time variable.


title: Multiple stellar systems under photometric and astrometric analysis

abstract:
  The light-time effect method, its limitations and applications were studied.
A powerful combined method of simultaneous analysis of the O-C diagrams and
astrometric orbit in triple eclipsing-astrometric binaries was presented.
Eleven eclipsing systems were studied in detail according to their O-C diagrams
(RY Aqr, BF CMi, RW Cap, TY Cap, SS Cet, RR Dra, TY Del, TZ Eri, RV Per, UZ
Sge, and BO Vul). The introduced method for studying the astrometric-eclipsing
binaries was applied to QS Aql, VW Cep, Zeta Phe, V505 Sgr, HT Vir, and V2388
Oph. The algorithm for such an analysis was introduced and the its limitations
were discussed. The catalogue of another systems, which contain eclipsing
binaries in astrometric binaries, was presented. Such systems could be useful
for prospective analysis. The method itself could be easily modified for
estimation of the parallax of the individual systems.


title: Inclusions and positive cones of von Neumann algebras

abstract:
  We consider cones in a Hilbert space associated to two von Neumann algebras
and determine when one algebra is included in the other. If a cone is assocated
to a von Neumann algebra, the Jordan structure is naturally recovered from it
and we can characterize projections of the given von Neumann algebra with the
structure in some special situations.


title: Lower bounds for transition probabilities on graphs

abstract:
  The paper presents two results. The first one provides separate conditions
for the upper and lower estimate of the distribution of the exit time from
balls of a random walk on a weighted graph. The main result of the paper is
that the lower estimate follows from the elliptic Harnack inequality. The
second result is an off-diagonal lower bound for the transition probability of
the random walk.


title:
Structures of Molecules at the Atomic Level: Caffeine and Related
  Compounds

abstract:
  Recent rsearches have shown that the lengths of the chemical bonds, whether
completely or partially covalent or ionic, are sums of the radii of the
adjacent atoms and/or ions. On investigating the bond length data for the
molecular components of nucleic acids, all were found (for the first time) to
be effectively the sums of the covalent radii of the adjacent atoms. This work
shows that the bond lengths in caffeine and related molecules are likewise sums
of the covalent radii of C, N, O and H. This has enabled arriving at the atomic
structures of these molecules, also for the first time.


title:
Modulated spin waves and robust quasi-solitons in classical Heisenberg
  rings

abstract:
  We investigate the dynamical behavior of finite rings of classical spin
vectors interacting via nearest-neighbor isotropic exchange in an external
magnetic field. Our approach is to utilize the solutions of a continuum version
of the discrete spin equations of motion (EOM) which we derive by assuming
continuous modulations of spin wave solutions of the EOM for discrete spins.
This continuous EOM reduces to the Landau-Lifshitz equation in a particular
limiting regime. The usefulness of the continuum EOM is demonstrated by the
fact that the time-evolved numerical solutions of the discrete spin EOM closely
track the corresponding time-evolved solutions of the continuum equation. Of
special interest, our continuum EOM possesses soliton solutions, and we find
that these characteristics are also exhibited by the corresponding solutions of
the discrete EOM. The robustness of solitons is demonstrated by considering
cases where initial states are truncated versions of soliton states and by
numerical simulations of the discrete EOM equations when the spins are coupled
to a heat bath at finite temperatures.


title:
A.-M. Guerry's Moral Statistics of France: Challenges for Multivariable
  Spatial Analysis

abstract:
  Andr\'{e}-Michel Guerry's (1833) Essai sur la Statistique Morale de la France
was one of the foundation studies of modern social science. Guerry assembled
data on crimes, suicides, literacy and other ``moral statistics,'' and used
tables and maps to analyze a variety of social issues in perhaps the first
comprehensive study relating such variables. Indeed, the Essai may be
considered the book that launched modern empirical social science, for the
questions raised and the methods Guerry developed to try to answer them.
Guerry's data consist of a large number of variables recorded for each of the
d\'{e}partments of France in the 1820--1830s and therefore involve both
multivariate and geographical aspects. In addition to historical interest,
these data provide the opportunity to ask how modern methods of statistics,
graphics, thematic cartography and geovisualization can shed further light on
the questions he raised. We present a variety of methods attempting to address
Guerry's challenge for multivariate spatial statistics.


title:
Transporting cold atoms in optical lattices with ratchets: Symmetries
  and Mechanisms

abstract:
  The objective of this work is to provide a general introduction into the
symmetry analysis of the rachet effect using a simple, non-interacting
one-particle dynamics. Despite its simplicity, this model contains all the
basic aspects of classical and quantum ratchet dynamics, and may be used also
as a starting point of incorporating atom-atom interactions.


title: Jamming probabilities for a vacancy in the dimer model

abstract:
  Following the recent proposal made by Bouttier et al [Phys. Rev. E 76, 041140
(2007)], we study analytically the mobility properties of a single vacancy in
the close-packed dimer model on the square lattice. Using the spanning web
representation, we find determinantal expressions for various observable
quantities. In the limiting case of large lattices, they can be reduced to the
calculation of Toeplitz determinants and minors thereof. The probability for
the vacancy to be strictly jammed and other diffusion characteristics are
computed exactly.

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


title: Stretching in a model of a turbulent flow

abstract:
  Using a multi-scaled, chaotic flow known as the KS model of turbulence, we
investigate the dependence of Lyapunov exponents on various characteristics of
the flow. We show that the KS model yields a power law relation between the
Reynolds number and the maximum Lyapunov exponent, which is similar to that for
a turbulent flow with the same energy spectrum. Our results show that the
Lyapunov exponents are sensitive to the advection of small eddies by large
eddies, which can be explained by considering the Lagrangian correlation time
of the smallest scales. We also relate the number of stagnation points within a
flow to the maximum Lyapunov exponent, and suggest a linear dependence between
the two characteristics.


title:
Iterates of the Schur class operator-valued function and their
  conservative realizations

abstract:
  Let $\mathfrak M$ and $\mathfrak N$ be separable Hilbert spaces and let
$\Theta(\lambda)$ be a function from the Schur class ${\bf S}(\mathfrak
M,\mathfrak N)$ of contractive functions holomorphic on the unit disk. The
operator generalization of the classical Schur algorithm associates with
$\Theta$ the sequence of contractions (the Schur parameters of $\Theta$)
$\Gamma_0=\Theta(0)\in \bL(\sM,\sN), \Gamma_n\in\bL(\sD_{\Gamma_{n-1}},
\sD_{\Gamma^*_{n-1}}) $ and the sequence of functions $\Theta_0 = \Theta$,
$\Theta_n\in {\bf S}(\sD_{\Gamma_n},\sD_{\Gamma^*_n})$ $ n=1,...$ (the Schur
iterares of $\Theta$) connected by the relations
  \[ \Gamma_n=\Theta_n(0), \Theta_n(\lambda) = \Gamma_n+\lambda D_{\Gamma^*_n}
\Theta_{n+1}(\lambda) (I + \lambda\Gamma^*_n\Theta_{n+1}
(\lambda))^{-1}D_{\Gamma_n}, |\lambda|<1. \]
  The function $\Theta(\lambda)\in {\bf S}(\sM,\sN)$ can be realized as the
transfer function
  \[ \Theta(\lambda)=D+\lambda C(I-\lambda A)^{-1}B \] of a linear conservative
and simple discrete-time system $\tau = {\begin{bmatrix}D & C \cr B &
A\end{bmatrix}; \mathfrak M, \mathfrak N,\mathfrak H}$ with the state space
$\mathfrak H$ and the input and output spaces $\mathfrak M$ and $\mathfrak N $,
respectively. In this paper we give a construction of conservative and simple
realizations of the Schur iterates $\Theta_n$ by means of the conservative and
simple realization of $\Theta$.


title: Protecting Spreadsheets Against Fraud

abstract:
  Previous research on spreadsheet risks has predominantly focussed on errors
inadvertently introduced by spreadsheet writers i.e. it focussed on the
end-user aspects of spreadsheet development. When analyzing a faulty
spreadsheet, one might not be able to determine whether a particular error
(fault) has been made by mistake or with fraudulent intentions. However, the
fences protecting against fraudulent errors have to be different from those
shielding against inadvertent mistakes. Faults resulting from errors committed
inadvertently can be prevented ab initio by tools that notify the spreadsheet
writer about potential problems whereas faults that are introduced on purpose
have to be discovered by auditors without the cooperation of their originators.
Even worse, some spreadsheet writers will do their best to conceal fraudulent
parts of their spreadsheets from auditors. In this paper we survey the
available means for fraud protection by contrasting approaches suitable for
spreadsheets with those known from fraud protection for conventional software.


title: Detecting Neuronal Communities from Beginning of Activation Patterns

abstract:
  The detection of neuronal communities is addressed with basis on two
important concepts from neuroscience: facilitation of neuronal firing and
nearly simultaneous beginning of activation of sets of neurons. More
specifically, integrate-and-fire complex neuronal networks are activated at
each of their nodes, and the dissemination of activation is monitored. As the
activation received by each neuron accumulates, its firing gets facilitated.
The time it takes for each neuron, other than the source, to receive the first
non-zero input (beginning activation time) and the time for it to produce the
first spike (beginning spiking time) are identified through simulations. It is
shown, with respect to two synthetic and a real-world (\emph{C. elegans})
neuronal complex networks, that the patterns of beginning activation times (and
to a lesser extent also of the spiking times) tend to cluster into groups
corresponding to communities of neurons in the original complex neuronal
network. Such an effect is identified to be a direct consequence of the almost
simultaneous activation between the nodes inside the same community in which
the source of activation is placed, as well as of the respective trapping of
activation implied by the integration of activiation prior to firing.
Interestingly, the accumulation of activity and thresholds inside each neuron
were found to be essential for constraining the initial activations within each
respective community during the transient activation (no clear clusters were
observed when using overall activation or spiking rates). In addition to its
intrinsic value for neuroscience and structure-dynamics studies, these results
confirm the importance of the consideration of transient dynamics in complex
systems investigations.

categories: physics.soc-ph cond-mat.dis-nn physics.comp-ph q-bio.NC


title: Accuracy of Auxiliary Field Approach for Baryons

abstract:
  We provide a check of the accuracy of the auxiliary field formalism used to
derive the Effective Hamiltonian for baryons in the Field Correlator Method. To
this end we compare the solutions for the Effective Hamiltonian with those
obtained from the solution of the Salpeter equation. Comparing these results
gives a first estimate of the systematic uncertainty due to the use of the
auxiliary field formalism for baryons.


title:
Approximate l-state solutions of the Manning-Rosen potential by the
  Nikiforov-Uvarov method

abstract:
  The Schrodinger equation for the Manning-Rosen potential with the centrifugal
term is solved approximately to obtain bound states energies. Additionally, the
corresponding wave functions are expressed by the Jacobi polynomials. The
Nikiforov-Uvarov (${\rm NU}$) method is used in the calculations. To show the
accuracy of our results, we calculate the eigenvalues numerically for arbitrary
quantum numbers $n$ and $l$ with two different values of the potential
parameter $\alpha .$ It is shown that the results are in good agreement with
the those obtained by other methods for short potential range, small $l$ and
$\alpha .$ This solution reduces to two cases $l=0$ and Hulthen potential case.


title: Dynamical correlations in the spin-half two-channel Kondo model

abstract:
  Dynamical correlations of various local operators are studied in the
spin-half two-channel Kondo (2CK) model in the presence of channel anisotropy
or external magnetic field. A conformal field theory-based scaling approach is
used to predict the analytic properties of various spectral functions in the
vicinity of the two-channel Kondo fixed point. These analytical results compare
well with highly accurate density matrix numerical renormalization group
results. The universal cross-over functions interpolating between
channel-anisotropy or magnetic field-induced Fermi liquid regimes and the
two-channel Kondo, non-Fermi liquid regimes are determined numerically. The
boundaries of the real 2CK scaling regime are found to be rather restricted,
and to depend both on the type of the perturbation and on the specific operator
whose correlation function is studied. In a small magnetic field, a universal
resonance is observed in the local fermion's spectral function. The dominant
superconducting instability appears in the composite superconducting channel.


title:
On the importance of the wind emission to the optical continuum of OB
  supergiants

abstract:
  Thermal wind emission in the form of free-free and free-bound emission is
known to show up in the infrared and radio continuum of hot and massive stars.
For OB supergiants with moderate mass loss rates and a wind velocity
distribution with \beta = 0.8...1.0, no influence of the wind to the optical
continuum, i.e. for \lambda < 1 micron, is expected. Investigations of stellar
and wind parameters of OB supergiants over the last few years suggest, however,
that for many objects \beta is much higher than 1.0, reaching values up to 3.5.
We investigate the influence of the free-free and free-bound emission on the
emerging radiation, especially at optical wavelengths, from OB supergiants
having wind velocity distributions with \beta > 1. For the case of a
spherically symmetric, isothermal wind in local thermodynamical equilibrium
(LTE) we calculate the free-free and free-bound processes and the emerging wind
and total continuum spectra. We localize the generation region of the optical
wind continuum and especially focus on the influence of a \beta-type wind
velocity distribution with \beta > 1 on the formation of the wind continuum at
optical wavelengths. The optical wind continuum is found to be generated within
about 2 R_* which is exactly the wind region where \beta strongly influences
the density distribution. We find that for \beta > 1, the continuum of a
typical OB supergiant can indeed be contaminated with thermal wind emission,
even at optical wavelengths. The strong increase in the optical wind emission
is dominantly produced by free-bound processes.


title:
Computational Models of Spreadsheet Development: Basis for Educational
  Approaches

abstract:
  Among the multiple causes of high error rates in spreadsheets, lack of proper
training and of deep understanding of the computational model upon which
spreadsheet computations rest might not be the least issue. The paper addresses
this problem by presenting a didactical model focussing on cell interaction,
thus exceeding the atomicity of cell computations. The approach is motivated by
an investigation how different spreadsheet systems handle certain computational
issues implied from moving cells, copy-paste operations, or recursion.


title:
Path independent integrals to identify localized plastic events in two
  dimensions

abstract:
  We use a power expansion representation of plane elasticity complex
potentials due to Kolossov and Muskhelishvili, to compute the elastic fields
induced by a localized plastic deformation event. Far from its center, the
dominant contributions correspond to first order singularities of quadrupolar
and dipolar symmetry which can be associated respectively to pure deviatoric
and pure volumetric plastic strain of an equivalent circular inclusion.
Constructing holomorphic functions from the displacement field and its
derivatives, it is possible to define path independent Cauchy integrals which
capture the amplitudes of these singularities. Analytical expressions and
numerical tests on simple finite element data are presented. The development of
such numerical tools is of direct interest for the identification of local
structural reorganizations which are believed to be the key mechanisms for
plasticity of amorphous materials.


title: Ratchet transport with subdiffusion

abstract:
  We introduce a model which incorporate the subdiffusive dynamics and the
ratchet effect. Using a subordination ideology, we show that the resulting
directed transport is sublinear, $<x(t)> \simeq Jt^{\beta}$, $\beta < 1$. The
proposed model may be relevant to a phenomenon of saltatory microbiological
motility.


title: Probing Nonstandard Neutrino Physics at T2KK

abstract:
  Having a far detector in Korea for the J-PARC neutrino beam in addition to
one at Kamioka has been shown to be a powerful way to lift neutrino parameter
($\Delta m^2$ and mixing angles) degeneracies. In this talk, I report the
sensitivity of the same experimental setup to nonstandard neutrino physics,
such as quantum decoherence, violation of Lorentz symmetry (with/without CPT
invariance), and nonstandard neutrino interactions with matter. In many cases,
two detector setup is better than one detector setup at SK. This observation
makes another support for the two detector setup.


title:
A simple and robust method for connecting small-molecule drugs using
  gene-expression signatures

abstract:
  Interaction of a drug or chemical with a biological system can result in a
gene-expression profile or signature characteristic of the event. Using a
suitably robust algorithm these signatures can potentially be used to connect
molecules with similar pharmacological or toxicological properties. The
Connectivity Map was a novel concept and innovative tool first introduced by
Lamb et al to connect small molecules, genes, and diseases using genomic
signatures [Lamb et al (2006), Science 313, 1929-1935]. However, the
Connectivity Map had some limitations, particularly there was no effective
safeguard against false connections if the observed connections were considered
on an individual-by-individual basis. Further when several connections to the
same small-molecule compound were viewed as a set, the implicit null hypothesis
tested was not the most relevant one for the discovery of real connections.
Here we propose a simple and robust method for constructing the reference
gene-expression profiles and a new connection scoring scheme, which importantly
allows the valuation of statistical significance of all the connections
observed. We tested the new method with the two example gene-signatures (HDAC
inhibitors and Estrogens) used by Lamb et al and also a new gene signature of
immunosuppressive drugs. Our testing with this new method shows that it
achieves a higher level of specificity and sensitivity than the original
method. For example, our method successfully identified raloxifene and
tamoxifen as having significant anti-estrogen effects, while Lamb et al's
Connectivity Map failed to identify these. With these properties our new method
has potential use in drug development for the recognition of pharmacological
and toxicological properties in new drug candidates.


title:
Doebner-Goldin Equation for Electrodynamic Particle. The Implied
  Applications

abstract:
  We set up the Maxwell's equations and the corresponding classical wave
equations for the electromagnetic waves which together with the generating
source, a traveling oscillatory charge of zero rest mass, comprise a particle
traveling in the force field of an usual conservative potential and an
additional frictional force $f$. At the de Broglie wavelength scale and in the
classic-velocity limit, the total wave equation decomposes into a component
equation describing the particle kinetic motion, which for $f=0$ identifies
with the usual linear Schr\"odinger equation as previously. The $f$-dependent
probability density presents generally an observable diffusion current of a
real diffusion constant; this and the particle's usual quantum diffusion
current as a whole are under adiabatic condition conserved and obey the
Fokker-Planck equation. The corresponding extra, $f$-dependent term in the
Hamiltonian operator identifies with that obtained by H.-D. Doebner and G.A.
Goldin. The friction produces to the particle's wave amplitude a damping that
can describe well the effect due to a radiation (de)polarization field, which
is always by-produced by the particle's oscillatory charge in a (nonpolar)
dielectric medium. The radiation depolarization field in a dielectric vacuum
has two separate significances: it participates to exert on another particle an
attractive, depolarization radiation force which resembles in overall respects
Newton's universal gravity as we showed earlier, and it exerts on the particle
itself an attractive, self depolarization radiation force whose time rate gives
directly the frictional force $f$.


title: Spreadsheet Debugging

abstract:
  Spreadsheet programs, artifacts developed by non-programmers, are used for a
variety of important tasks and decisions. Yet a significant proportion of them
have severe quality problems. To address this issue, our previous work
presented an interval-based testing methodology for spreadsheets.
Interval-based testing rests on the observation that spreadsheets are mainly
used for numerical computations. It also incorporates ideas from symbolic
testing and interval analysis. This paper addresses the issue of efficiently
debugging spreadsheets. Based on the interval-based testing methodology, this
paper presents a technique for tracing faults in spreadsheet programs. The
fault tracing technique proposed uses the dataflow information and cell marks
to identify the most influential faulty cell(s) for a given formula cell
containing a propagated fault.


title:
Approximating nonequilibrium processes using a collection of surrogate
  diffusion models

abstract:
  The surrogate process approximation (SPA) is applied to model the
nonequilibrium dynamics of a reaction coordinate (RC) associated with the
unfolding and refolding processes of a deca-alanine peptide at 300 K. The RC
dynamics, which correspond to the evolution of the end-to-end distance of the
polypeptide, are produced by steered molecular dynamics (SMD) simulations and
approximated using overdamped diffusion models. We show that the collection of
(estimated) SPA models contain structural information "orthogonal" to the RC
monitored in this study. Functional data analysis ideas are used to correlate
functions associated with the fitted SPA models with the work done on the
system in SMD simulations. It is demonstrated that the shape of the
nonequilibrium work distributions for the unfolding and refolding processes of
deca-alanine can be predicted with functional data analysis ideas using a
relatively small number of simulated SMD paths for calibrating the SPA
diffusion models.


title:
Evidence for non-hadronic interactions of charm degrees of freedom in
  heavy-ion collisions at relativistic energies

abstract:
  Within the Hadron-String Dynamics (HSD) transport approach we study the
suppression pattern of charmonia at RHIC with respect to centrality and
rapidity employing various model concepts such as variants of the 'comover
absorption' model or the 'charmonium melting' scenario. We find that especially
the ratio of the forward to mid-rapidity nuclear modification factors of J/Psi
(R_AA (forward) / R_AA (mid)) cannot be explained by the interactions with
'formed' comoving mesons or by the 'color screening mechanism' alone. Only when
incorporating interactions of the c or c-bar quark with a pre-hadronic medium
satisfactory results are obtained. A detailed comparison to the PHENIX data
demonstrates that non-hadronic interactions are mandatory to describe the
narrowing of the J/Psi rapidity distribution from p+p to central Au+Au
collisions. The Psi' to J/Psi ratio is found to be crucial in disentangling the
different charmonium absorption scenarios especially in the RHIC energy range.
Furthermore, a comparison of the transport calculations to the statistical
model of Gorenstein and Gazdzicki as well as the statistical hadronization
model of Andronic et al. shows differences in the energy dependence as well as
centrality dependence of the J/Psi to pion ratio which may be exploited
experimentally to disentangle different concepts. We find additionally that the
collective flow of charm in the HSD transport appears compatible with the data
at SPS energies but substantially underestimates the data at top RHIC energies
such that the large elliptic flow v_2 of charm seen experimentally has to be
attributed to early interactions of non-hadronic degrees of freedom.


title: Surfaces with Many Solitary Points

abstract:
  It is classically known that a real cubic surface in the real projective
3-space cannot have more than one solitary point (locally given by
x^2+y^2+z^2=0) whereas it can have up to four nodes (x^2+y^2-z^2=0). We show
that on any surface of degree at least 3 in the real projective 3-space, the
maximum possible number of solitary points is strictly smaller than the maximum
possible number of nodes. Conversely, we adapt a construction of Chmutov to
obtain surfaces with many solitary points by using a refined version of
Brusotti's theorem. Finally, we adapt this construction to get real algebraic
surfaces with many singular points of type $A_{2k-1}^\smbullet$ for all $k\ge
1$.


title:
Electroweak symmetry breaking and cold dark matter from hidden sector
  technicolor

abstract:
  We consider models with a vectorlike confining gauge theory in the hidden
sector, and demonstrate that the origin of the electroweak symmetry breaking
(EWSB) is due to the dimensional transmutation in the hidden sector gauge
theory, and the lightest mesons in the hidden sector could be a good cold dark
matter (CDM) candidate. There would be more than one neutral Higgs-like scalar
bosons, and they could decay mainly into the CDM pair, if that decay channel is
kinemtically allowed.


title:
A general necessary and sufficient optimality conditions for singular
  control problems

abstract:
  We consider a stochastic control problem where the set of strict (classical)
controls is not necessarily convex and the the variable control has two
components, the first being absolutely continuous and the second singular. The
system is governed by a nonlinear stochastic differential equation, in which
the absolutely continuous component of the control enters both the drift and
the diffusion coefficients. By introducing a new approach, we establish
necessary and sufficient optimality conditions for two models. The first
concerns the relaxed-singular controls, who are a pair of processes whose first
component is a measure-valued processes. The second is a particular case of the
first and relates to strict-singular control problems. These results are given
in the form of global stochastic maximum principle by using only the first
order expansion and the associated adjoint equation. This improves and
generalizes all the previous works on the maximum principle of controlled
stochastic differential equations.


title:
Stellar Wind Variations During the X-ray High and Low States of Cygnus
  X-1

abstract:
  We present results from Hubble Space Telescope UV spectroscopy of the massive
X-ray binary system, HD226868 = Cyg X-1. The spectra were obtained at both
orbital conjunction phases in two separate runs in 2002 and 2003 when the
system was in the X-ray high/soft state. The stellar wind lines suffer large
reductions in strength when the black hole is in the foreground due to the
X-ray ionization of the wind ions. A comparison of HST and archival IUE spectra
shows that similar photoionization effects occur in both the X-ray states. We
constructed model UV wind line profiles assuming that X-ray ionization occurs
everywhere in the wind except the zone where the supergiant blocks the X-ray
flux. The good match between the observed and model profiles indicates that the
wind ionization extends to near to the hemisphere of the supergiant facing the
X-ray source. The H-alpha emission strength is generally lower in the high/soft
state compared to the low/hard state, but the He II 4686 emission is relatively
constant between states. The results suggest that mass transfer in Cyg X-1 is
dominated by a focused wind flow that peaks along the axis joining the stars
and that the stellar wind contribution is shut down by X-ray photoionization
effects. The strong stellar wind from the shadowed side of the supergiant will
stall when Coriolis deflection brings the gas into the region of X-ray
illumination. This stalled gas component may be overtaken by the orbital motion
of the black hole and act to inhibit accretion from the focused wind. The
variations in the strength of the shadow wind component may then lead to
accretion rate changes that ultimately determine the X-ray state.


title: Movie Recommendation Systems Using An Artificial Immune System

abstract:
  We apply the Artificial Immune System (AIS) technology to the Collaborative
Filtering (CF) technology when we build the movie recommendation system. Two
different affinity measure algorithms of AIS, Kendall tau and Weighted Kappa,
are used to calculate the correlation coefficients for this movie
recommendation system. From the testing we think that Weighted Kappa is more
suitable than Kendall tau for movie problems.


title: Complete intersections on general hypersurfaces

abstract:
  We ask when certain complete intersections of codimension $r$ can lie on a
generic hypersurface in $\PP^n$. We give a complete answer to this question
when $2r \leq n+2$ in terms of the degrees of the hypersurfaces and of the
degrees of the generators of the complete intersection.


title:
Quantitative studies of the optical and UV spectra of Galactic early B
  supergiants I. Fundamental parameters

abstract:
  We undertake an optical and ultraviolet spectroscopic analysis of a sample of
20 Galactic B0 - B5 supergiants of luminosity classes Ia, Ib, Iab and II.
Fundamental stellar parameters are obtained from optical diagnostics and a
critical comparison of the model predictions to observed UV spectral features
is made. These parameters are derived for individual stars using CMFGEN, the
nLTE, line-blanketed model atmosphere code of Hillier et al., 1998. The B
supergiant temperature scale derived here shows a reduction of 1000 - 3000 K
compared to previous results obtained using unblanketed codes. Mass loss rate
estimates are in good agreement with predicted theoretical values and all of
the 20 B0 - B5 supergiants analysed show evidence for CNO processing. The
observed WLR values calculated for B0 - B0.7 supergiants are larger than
predicted values, whereas the reverse is true for B1 - B5 supergiants. This
means that the discrepancy between observed and theoretical values cannot be
resolved by adopting clumped (i.e., lower) mass loss rates, as for O stars. The
most surprising result is that, although CMFGEN succeeds in reproducing the
optical spectrum accurately, it fails to reproduce key UV diagnostics, such as
NV and CIV P Cygni profiles, precisely. This problem arises because the models
are not ionised enough and fail to reproduce the full extent of the observed
absorption trough of the P Cygni profiles. These findings add further support
to the need to revise the standard model of massive star winds.


title: A geometric Schur-Weyl duality for quotients of affine Hecke algebras

abstract:
  After establishing a geometric Schur-Weyl duality in a general setting, we
recall this duality in type A in the finite and affine case. We extend the
duality in the affine case to positive parts of the affine algebras. The
positive parts have nice ideals coming from geometry, allowing duality for
quotients. Some of the quotients of the positive affine Hecke algebra are then
identified to some cyclotomic Hecke algebras and the geometric setting allows
the construction of canonical bases.


title: Solving the Helmholtz equation for membranes of arbitrary shape

abstract:
  I calculate the modes of vibration of membranes of arbitrary shape using a
collocation approach based on Little Sinc Functions. The matrix representation
of the PDE obtained using this method is explicit and it does not require the
calculation of integrals. To illustrate the virtues of this approach, I have
considered a large number of examples,part of them taken from the literature,
and part of them new. When possible, I have testedthe accuracy of these results
by comparing them with the exact results (when available) or with results from
the literature. In particular, in the case of the L-shaped membrane, the first
example discussed in the paper, I show that it is possible to extrapolate the
results obtained with different grid sizes to obtain higly precise results.
Finally, I also show that the present collocation technique can be easily
combined with conformal mapping to provide numerical approximations to the
energies which quite rapidly converge to the exact results.


title:
Exact Feasibility Tests for Real-Time Scheduling of Periodic Tasks upon
  Multiprocessor Platforms

abstract:
  In this paper we study the global scheduling of periodic task systems upon
multiprocessor platforms. We first show two very general properties which are
well-known for uniprocessor platforms and which remain for multiprocessor
platforms: (i) under few and not so restrictive assumptions, we show that
feasible schedules of periodic task systems are periodic from some point with a
period equal to the least common multiple of task periods and (ii) for the
specific case of synchronous periodic task systems, we show that feasible
schedules repeat from the origin. We then present our main result: we
characterize, for task-level fixed-priority schedulers and for asynchronous
constrained or arbitrary deadline periodic task models, upper bounds of the
first time instant where the schedule repeats. We show that job-level
fixed-priority schedulers are predictable upon unrelated multiprocessor
platforms. For task-level fixed-priority schedulers, based on the upper bounds
and the predictability property, we provide for asynchronous constrained or
arbitrary deadline periodic task sets, exact feasibility tests. Finally, for
the job-level fixed-priority EDF scheduler, for which such an upper bound
remains unknown, we provide an exact feasibility test as well.


title:
Geometric Hamiltonian Formalism for Reparametrization Invariant Theories
  with Higher Derivatives

abstract:
  Reparametrization invariant Lagrangian theories with higher derivatives are
considered. We investigate the geometric structures behind these theories and
construct the Hamiltonian formalism in a geometric way. The Legendre
transformation which corresponds to the transition from the Lagrangian
formalism to the Hamiltonian formalism is non-trivial in this case. The
resulting phase bundle, i.e. the image of the Legendre transformation, is a
submanifold of some cotangent bundle. We show that in our construction it is
always odd-dimensional. Therefore the canonical symplectic two-form from the
ambient cotangent bundle generates on the phase bundle a field of the
null-directions of its restriction. It is shown that the integral lines of this
field project directly to the extremals of the action on the configuration
manifold. Therefore this naturally arising field is what is called the Hamilton
field. We also express the corresponding Hamilton equations through the
generilized Nambu bracket.


title: GBT Multiwavelength Survey of the Galactic Center Region

abstract:
  We describe the results of a radio continuum survey of the central 4x1deg
with the 100 m Green Bank Telescope (GBT) at wavelengths of 3.5, 6, 20, and 90
cm. The 3.5 and 6 cm surveys are the most sensitive and highest resolution
single dish surveys made of the central degrees of our Galaxy. We present
catalogs of compact and extended sources in the central four degrees of our
Galaxy, including detailed spectral index studies of all sources. The analysis
covers star-forming regions such as Sgr B and Sgr C where we find evidence of a
mixture of thermal and nonthermal emission. The analysis quantifies the
relative contribution of thermal and nonthermal processes to the radio
continuum flux density toward the GC region. In the central 4x1deg of the GC,
the thermal and nonthermal flux fractions for all compact and diffuse sources
are 28%/72% at 3.5 cm and 19%/81% at 6 cm. The total flux densities from these
sources are 783+-52 Jy and 1063+-93 Jy at 3.5 and 6 cm, respectively, excluding
the contribution of Galactic synchrotron emission.


title: On the naturality of the exterior differential

abstract:
  We give sufficient conditions for the naturallity of the exterior
differential under Sobolev mappings. In other words we study the validity of
the equation $d f^* \alpha = f^* d\alpha$ for a smooth form $\alpha$ and a
Sobolev map $f$.


title: Vortex and translational currents due to broken time-space symmetries

abstract:
  We consider the classical dynamics of a particle in a $d=2,3$-dimensional
space-periodic potential under the influence of time-periodic external fields
with zero mean. We perform a general time-space symmetry analysis and identify
conditions, when the particle will generate a nonzero averaged translational
and vortex currents. We perform computational studies of the equations of
motion and of corresponding Fokker-Planck equations, which confirm the symmetry
predictions. We address the experimentally important issue of current control.
Cold atoms in optical potentials and magnetic traps are among possible
candidates to observe these findings experimentally.


title:
Method to estimate ISCO and ring-down frequencies in binary systems and
  consequences for gravitational wave data analysis

abstract:
  Recent advances in the description of compact binary systems have produced
gravitational waveforms that include inspiral, merger and ring-down phases.
Comparing results from numerical simulations with those of post-Newtonian (PN),
and related, expansions has provided motivation for employing PN waveforms in
near merger epochs when searching for gravitational waves and has encouraged
the development of analytic fits to full numerical waveforms. The models and
simulations do not yet cover the full binary coalescence parameter space. For
these yet un-simulated regions, data analysts can still conduct separate
inspiral, merger and ring-down searches. Improved knowledge about the end of
the inspiral phase, the beginning of the merger, and the ring-down frequencies
could increase the efficiency of both coherent inspiral-merger-ring-down (IMR)
searches and searches over each phase separately. Insight can be gained for all
three cases through a recently presented theoretical calculation, which,
corroborated by the numerical results, provides an implicit formula for the
final spin of the merged black holes, accurate to within 10% over a large
parameter space. Knowledge of the final spin allows one to predict the end of
the inspiral phase and the quasinormal mode ring-down frequencies, and in turn
provides information about the bandwidth and duration of the merger. In this
work we will discuss a few of the implications of this calculation for data
analysis.


title:
Magnetic-field-induced transition from metastable spin glass to possible
  antiferromagnetic-ferromagnetic phase separation in $Cd_{0.5}Cu_{0.5}Cr_2O_4$

abstract:
  Using ac susceptibility, dc magnetization and heat capacity measurements, we
have investigated the magnetic properties of $Cd_{0.5}Cu_{0.5}Cr_2O_4$.
$Cd_{0.5}Cu_{0.5}Cr_2O_4$ has an extraordinary magnetic phase including a
metastable spin-glass(SG) phase at zero field, a possible phase separation
scenario of AFM/FM above $\sim 0.5T$ field, and at intermediate fields, an
apparent pseudo reentrant spin-glass (RSG) plateau is observed. These phenomena
are closely correlated with the pinning effect of the $Cu^{2+}$ sublattice on
the frustrated lattice.


title:
Simulations of the cosmic infrared and submillimeter background for
  future large surveys: I. Presentation and first application to Herschel/SPIRE
  and Planck/HFI

abstract:
  The coming Planck and Herschel missions will survey the sky at unprecedented
angular scales and sensitivities. Simulations are needed for better
interpretating the results of the surveys and for testing new methods of, e.g.,
source extraction and component separation. We present new simulations of the
infrared and submillimeter cosmic background, including the correlation between
infrared galaxies. The simulations were used to quantify the source-detection
thresholds for Herschel/SPIRE and Planck/HFI, as well as to study the
detectability of the cosmic infrared background correlated fluctuations.
  The simulations are based on an empirical model of IR galaxy evolution. For
the correlations, we only included the linear clustering, assuming that
infrared galaxies are biased tracers of the dark-matter fluctuation density
field. We used the simulations with different bias parameters to predict the
confusion noise for Herschel/SPIRE and Planck/HFI and the completeness levels.
We also discuss the detectability of the linear clustering in Planck/HFI power
spectra, including the foreground and backgrounds components.
  Simulated maps and catalogs are publicly available online at
http://www.ias.u-psud.fr/irgalaxies/simulations.php


title: A note on limit shapes of minimal difference partitions

abstract:
  We provide a variational derivation of the limit shape of minimal difference
partitions and discuss the link with exclusion statistics. Also see
arXiv:0707.2312 for a related paper.

categories: cond-mat.stat-mech math-ph math.CO math.MP


title: Virtual screening of GPCRs: an in silico chemogenomics approach

abstract:
  The G-protein coupled receptor (GPCR) superfamily is currently the largest
class of therapeutic targets. \textit{In silico} prediction of interactions
between GPCRs and small molecules is therefore a crucial step in the drug
discovery process, which remains a daunting task due to the difficulty to
characterize the 3D structure of most GPCRs, and to the limited amount of known
ligands for some members of the superfamily. Chemogenomics, which attempts to
characterize interactions between all members of a target class and all small
molecules simultaneously, has recently been proposed as an interesting
alternative to traditional docking or ligand-based virtual screening
strategies. We propose new methods for in silico chemogenomics and validate
them on the virtual screening of GPCRs. The methods represent an extension of a
recently proposed machine learning strategy, based on support vector machines
(SVM), which provides a flexible framework to incorporate various information
sources on the biological space of targets and on the chemical space of small
molecules. We investigate the use of 2D and 3D descriptors for small molecules,
and test a variety of descriptors for GPCRs. We show fo instance that
incorporating information about the known hierarchical classification of the
target family and about key residues in their inferred binding pockets
significantly improves the prediction accuracy of our model. In particular we
are able to predict ligands of orphan GPCRs with an estimated accuracy of
78.1%.


title:
Nonlinear Schroedinger equation for a superfluid Bose gas from weak
  coupling to unitarity: Study of vortices

abstract:
  We introduce a nonlinear Schroedinger equation to describe the dynamics of a
superfluid Bose gas in the crossover from the weak-coupling regime, where $a
n^{1/3}\ll 1$ with $a$ the inter-atomic s-wave scattering length and $n$ the
bosonic density, to the unitarity limit, where $a\to +\infty$. We call this
equation the {unitarity Schroedinger equation} (USE). The zero-temperature bulk
equation of state of this USE is parametrized by the Lee-Yang-Huang low-density
expansion and Jastrow calculations at unitarity. With the help of the USE we
study the profiles of quantized vortices and vortex-core radius in a uniform
Bose gas. We also consider quantized vortices in a Bose gas under
cylindrically-symmetric harmonic confinement and study their profile and
chemical potential using the USE and compare the results with those obtained
from the Gross-Pitaevskii-type equations valid in the weak-coupling limit.
Finally, the USE is applied to calculate the breathing modes of the confined
Bose gas as a function of the scattering length.


title: Continuous first order logic and local stability

abstract:
  We develop continuous first order logic, a variant of the logic described in
\cite{Chang-Keisler:ContinuousModelTheory}. We show that this logic has the
same power of expression as the framework of open Hausdorff cats, and as such
extends Henson's logic for Banach space structures. We conclude with the
development of local stability, for which this logic is particularly
well-suited.


title:
Spectral decomposition of starbursts and AGNs in 5-8 micron Spitzer IRS
  spectra of local ULIRGs

abstract:
  We present an analysis of the 5-8 micron Spitzer-IRS spectra of a sample of
68 local Ultraluminous Infrared Galaxies (ULIRGs). Our diagnostic technique
allows a clear separation of the active galactic nucleus (AGN) and starburst
(SB) components in the observed mid-IR emission, and a simple analytic model
provides a quantitative estimate of the AGN/starburst contribution to the
bolometric luminosity. We show that AGNs are ~30 times brighter at 6 micron
than starbursts with the same bolometric luminosity, so that even faint AGNs
can be detected. Star formation events are confirmed as the dominant power
source for extreme infrared activity, since ~85% of ULIRG luminosity arises
from the SB component. Nonetheless an AGN is present in the majority (46/68) of
our sources.


title:
Risk-Seeking versus Risk-Avoiding Investments in Noisy Periodic
  Environments

abstract:
  We study the performance of various agent strategies in an artificial
investment scenario. Agents are equipped with a budget, $x(t)$, and at each
time step invest a particular fraction, $q(t)$, of their budget. The return on
investment (RoI), $r(t)$, is characterized by a periodic function with
different types and levels of noise. Risk-avoiding agents choose their fraction
$q(t)$ proportional to the expected positive RoI, while risk-seeking agents
always choose a maximum value $q_{max}$ if they predict the RoI to be positive
("everything on red"). In addition to these different strategies, agents have
different capabilities to predict the future $r(t)$, dependent on their
internal complexity. Here, we compare 'zero-intelligent' agents using technical
analysis (such as moving least squares) with agents using reinforcement
learning or genetic algorithms to predict $r(t)$. The performance of agents is
measured by their average budget growth after a certain number of time steps.
We present results of extensive computer simulations, which show that, for our
given artificial environment, (i) the risk-seeking strategy outperforms the
risk-avoiding one, and (ii) the genetic algorithm was able to find this optimal
strategy itself, and thus outperforms other prediction approaches considered.


title:
Interlaced dense point and absolutely continuous spectra for
  Hamiltonians with concentric-shell singular interactions

abstract:
  We analyze the spectrum of the generalized Schrodinger operator in
$L^2(R^\nu) \nu \geq 2$, with a general local, rotationally invariant singular
interaction supported by an infinite family of concentric, equidistantly spaced
spheres. It is shown that the essential spectrum consists of interlaced
segments of the dense point and absolutely continuous character, and that the
relation of their lengths at high energies depends on the choice of the
interaction parameters; generically the p.p. component is asymptotically
dominant. We also show that for $\nu=2$ there is an infinite family of
eigenvalues below the lowest band.


title: On Affinity Measures for Artificial Immune System Movie Recommenders

abstract:
  We combine Artificial Immune Systems 'AIS', technology with Collaborative
Filtering 'CF' and use it to build a movie recommendation system. We already
know that Artificial Immune Systems work well as movie recommenders from
previous work by Cayzer and Aickelin 3, 4, 5. Here our aim is to investigate
the effect of different affinity measure algorithms for the AIS. Two different
affinity measures, Kendalls Tau and Weighted Kappa, are used to calculate the
correlation coefficients for the movie recommender. We compare the results with
those published previously and show that Weighted Kappa is more suitable than
others for movie problems. We also show that AIS are generally robust movie
recommenders and that, as long as a suitable affinity measure is chosen,
results are good.


title: Path Integral Analysis of Arrival Times with a Complex Potential

abstract:
  A number of approaches to the arrival time problem employ a complex potential
of a simple step function type and the arrival time distribution may then be
calculated using the stationary scattering wave functions. Here, it is shown
that in the Zeno limit (in which the potential becomes very large), the arrival
time distribution may be obtained in a clear and simple way using a path
integral representation of the propagator together with the path decomposition
expansion (in which the propagator is factored across a surface of constant
time). This method also shows that the same result is obtained for a wide class
of complex potentials.


title:
Reconstruction of Longitudinal Profiles of Ultra-High Energy Cosmic Ray
  Showers from Fluorescence and Cherenkov Light Measurements

abstract:
  We present a new method for the reconstruction of the longitudinal profile of
extensive air showers induced by ultra-high energy cosmic rays. In contrast to
the typically considered shower size profile, this method employs directly the
ionization energy deposit of the shower particles in the atmosphere. Due to
universality of the energy spectra of electrons and positrons, both
fluorescence and Cherenkov light can be used simultaneously as signal to infer
the shower profile from the detected light. The method is based on an analytic
least-square solution for the estimation of the shower profile from the
observed light signal. Furthermore, the extrapolation of the observed part of
the profile with a Gaisser-Hillas function is discussed and the total
statistical uncertainty of shower parameters like total energy and shower
maximum is calculated.


title: An Improved Construction of Progression-Free Sets

abstract:
  The problem of constructing dense subsets S of {1,2,..,n} that contain no
arithmetic triple was introduced by Erdos and Turan in 1936. They have
presented a construction with |S| = \Omega(n^{\log_3 2}) elements. Their
construction was improved by Salem and Spencer, and further improved by Behrend
in 1946. The lower bound of Behrend is |S| = Omega({n \over {2^{2 \sqrt{2}
\sqrt{\log_2 n}} \cdot \log^{1/4} n}}). Since then the problem became one of
the most central, most fundamental, and most intensively studied problems in
additive number theory. Nevertheless, no improvement of the lower bound of
Behrend was reported since 1946.
  In this paper we present a construction that improves the result of Behrend
by a factor of Theta(\sqrt{\log n}), and shows that |S| = Omega({n \over {2^{2
\sqrt{2} \sqrt{\log_2 n}}}} \cdot \log^{1/4} n). In particular, our result
implies that the construction of Behrend is not optimal.
  Our construction and proof are elementary and self-contained.


title:
Performance of two decoy-state quantum cryptography protocols in
  earth-satellite links

abstract:
  This paper has been withdrawn by the author. It will be published again after
submission to a journal.


title:
Investigating Artificial Immune Systems For Job Shop Rescheduling In
  Changing Environments

abstract:
  Artificial immune system can be used to generate schedules in changing
environments and it has been proven to be more robust than schedules developed
using a genetic algorithm. Good schedules can be produced especially when the
number of the antigens is increased. However, an increase in the range of the
antigens had somehow affected the fitness of the immune system. In this
research, we are trying to improve the result of the system by rescheduling the
same problem using the same method while at the same time maintaining the
robustness of the schedules.