title:
The Distribution of Dark Matter in the Halo of the early-type galaxy NGC
  4636

abstract:
  We present the density structure of dark matter in the outer parts (to about
7 effective radii) of the elliptical galaxy NGC 4636, from the radial
velocities of 174 globular clusters, using the non-parametric, Bayesian
algorithm CHASSIS. We find the galaxy to be rich in dark matter, with $R$-band
mass-to-light ($M/L$) ratios rising to about 30, at nearly 4$R_e$; the $K$-band
$M/L$ at about 3$R_e$ is found to be nearly 10. The result does not depend on
applying the method to the red and blue globular clusters separately. This
estimate of $M/L$ is higher than the previous analysis from the same kinematic
data. We also find that the dark matter distribution is highly concentrated
towards the inner halo.


title:
A HST study of the environment of the Herbig Ae/Be star LkHa 233 and its
  bipolar jet

abstract:
  We present the results of HST/STIS and WFPC2 observations of LkHa 233 and its
environment. LkHa233 is a Herbig Ae/Be star with a collimated bipolar jet. We
investigate optical forbidden lines along the LkHa 233 jet to determine
physical parameters of this jet (electron density n_e, hydrogen ionisation
fraction x_e, electron temperature T_e, and mass density n_H). The knowledge of
these parameters allows us a direct comparison of a jet from a Herbig star with
those from T Tauri stars. The WFPC2 images in broad-band filters clearly show a
dark lane caused either by a circumstellar disk or a dust torus. In the
blueshifted lobe, n_e is close to or above the critical density for [SII] lines
(2.5x10^4 cm^-3) in the first arcsecond and decreases with distance from the
source. The ionisation x_e~0.2-0.6 gently rises for the first 500 AU of the
flow and shows two re-ionisation events further away from the origin. The T_e
varies along the flow between 10^4 K and 3x10^4 K. The (radial) outflow
velocities are ~ 80-160 km s^(-1), and they appear to increase with distance
from the source. In the redshifted lobe, T_e, n_e, x_e, and n_H are all lower
than in the blueshifted lobe, but have the same order of magnitude. All these
derived parameters are just beyond or at the upper limits of those observed for
classical T Tauri star jets. This may indicate that the flows from the higher
mass Herbig stars are indeed scaled-up examples of the same phenomenon as in T
Tauri stars.


title: The critical exponent of the Arshon words

abstract:
  Generalizing the results of Thue (for n = 2) and of Klepinin and Sukhanov
(for n = 3), we prove that for all n greater than or equal to 2, the critical
exponent of the Arshon word of order $n$ is given by (3n-2)/(2n-2), and this
exponent is attained at position 1.


title: Coarse-scale representations and smoothed Wigner transforms

abstract:
  Smoothed Wigner transforms have been used in signal processing, as a
regularized version of the Wigner transform, and have been proposed as an
alternative to it in the homogenization and / or semiclassical limits of wave
equations. We derive explicit, closed formulations for the coarse-scale
representation of the action of pseudodifferential operators. The resulting
``smoothed operators'' are in general of infinite order. The formulation of an
appropriate framework, resembling the Gelfand-Shilov spaces, is necessary.
Similarly we treat the ``smoothed Wigner calculus''. In particular this allows
us to reformulate any linear equation, as well as certain nonlinear ones (e.g.
Hartree and cubic non-linear Schr\"odinger), as coarse-scale phase-space
equations (e.g. smoothed Vlasov), with spatial and spectral resolutions
controlled by two free parameters. Finally, it is seen that the smoothed Wigner
calculus can be approximated, uniformly on phase-space, by differential
operators in the semiclassical regime. This improves the respective
weak-topology approximation result for the Wigner calculus.


title:
Next to Leading Order Spin(1)Spin(1) Effects in the Motion of
  Inspiralling Compact Binaries

abstract:
  Using effective field theory techniques we compute the next to leading order
Spin(1)Spin(1) terms in the potential of spinning compact objects at third
Post-Newtonian order, including sub-leading self-induced finite size effects.
This result represents the last ingredient to complete the relevant spin
potentials to 3PN order from which the equations of motion follow via a
canonical formalism. As an example we include the precession equation.


title: Circulation in Blowdown Flows

abstract:
  The blowdown of high pressure gas in a pressure vessel produces rapid
adiabatic cooling of the gas remaining in the vessel. The gas near the wall is
warmed by conduction from the wall, producing radial temperature and density
gradients that affect the flow, the mass efflux rate and the thermodynamic
states of both the outflowing and the contained gas. The resulting
buoyancy-driven flow circulates gas through the vessel and reduces, but does
not eliminate, these gradients. The purpose of this note is to estimate when
blowdown cooling is rapid enough that the gas in the pressure vessel is neither
isothermal nor isopycnic, though it remains isobaric. I define a dimensionless
number, the buoyancy circulation number BC, that parametrizes these effects.


title: Quenched large deviations for random walk in a random environment

abstract:
  We take the point of view of a particle performing random walk with bounded
jumps on $\mathbb{Z}^d$ in a stationary and ergodic random environment. We
prove the quenched large deviation principle (LDP) for the pair empirical
measure of the environment Markov chain. By an appropriate contraction, we
deduce the quenched LDP for the mean velocity of the particle and obtain a
variational formula for the corresponding rate function. We propose an Ansatz
for the minimizer of this formula. When $d=1$, we verify this Ansatz and
generalize the nearest-neighbor result of Comets, Gantert and Zeitouni to walks
with bounded jumps.


title: Optical combs with a crystalline whispering gallery mode resonator

abstract:
  We report on the experimental demonstration of a tunable monolithic optical
frequency comb generator. The device is based on the four-wave mixing in a
crystalline calcium fluoride whispering gallery mode resonator. The frequency
spacing of the comb is given by an integer number of the free spectral range of
the resonator. We select the desired number by tuning the pumping laser
frequency with respect to the corresponding resonator mode. We also observe
interacting optical combs and high-frequency hyperparametric oscillation,
depending on the experimental conditions. A potential application of the comb
for generating narrowband frequency microwave signals is demonstrated.


title: Stable equivariant abelianization, its properties, and applications

abstract:
  Let $G$ be a finite group. For a based $G$-space $X$ and a Mackey functor
$M$, a topological Mackey functor $X\widetilde\otimes M$ is constructed, which
will be called the stable equivariant abelianization of $X$ with coefficients
in $M$. When $X$ is a based $G$-CW complex, $X\widetilde\otimes M$ is shown to
be an infinite loop space in the sense of $\mathcal{G}$-spaces. This gives a
version of the $RO(G)$-graded equivariant Dold-Thom theorem. Applying a variant
of Elmendorf's construction, we get a model for the Eilenberg-Mac Lane spectrum
$HM$. The proof uses a structure theorem for Mackey functors and our previous
results.


title: Mechanism of Collisional Spin Relaxation in Triplet-Sigma Molecules

abstract:
  We measure and theoretically determine the effect of molecular rotational
splitting on Zeeman relaxation rates in collisions of cold Triplet-Sigma
molecules with helium atoms in a magnetic field. All four stable isotopomers of
the imidogen (NH) molecule are magnetically trapped and studied in collisions
with 3He and 4He. The 4He data support the predicted inverse square dependence
of the collision induced Zeeman relaxation rate coefficient on the molecular
rotational constant B. The measured 3He rate coefficients are much larger than
4He and depend less strongly on B, and the theoretical analysis indicates they
are strongly affected by a shape resonance. The results demonstrate the
influence of molecular structure on collisional energy transfer at low
temperatures.


title:
Discovery of warm and dense molecular gas surrounding the ring nebula
  G79.29+0.46

abstract:
  We present for the first time the detection of mid-J CO line emission in the
outskirts of an evolved massive star, which indicates the presence of warm
and/or high density molecular gas. Aiming to learn about the interplay between
evolved massive stars and their surroundings, we have carried out CO J=2-1,
J=3-2, and (13)CO J=2-1 line observations in a 4'x4' field around the ring
nebula G79.29+0.46, which is illuminated by a strong candidate to LBV star. The
whole field shows extended predominant emission in both CO and (13)CO J=2-1
lines, which probably comes from the large cloud which contains the star
forming region DR15. When this large-scale emission is removed, minor scales
features become evident, particularly in the CO J=3-2 line, strikingly
coincident with the ring nebula. The high critical density of CO J=3-2 (some
10^4 cm^(-3)) gives additional support for the association with the massive
star, since high density molecular gas has more chances to survive in such a
harsh environment. This structure may have been produced by the cumulative
effect of a strong steady wind in the LBV stage or earlier, which has
compressed the surviving parent molecular cloud. In addition, immersed within
this CO feature, we have also discovered a higher density clump (at least
several 10^5 cm^(-3)), unresolved by the telescope and probably having a higher
kinetic temperature. Towards the clump, the presence of a jump of 14-16 km/s in
the gas velocity may indicate the existence of a shockfront. This clump may
have been created by at least one mass eruption, 10^3 - 10^4 yr ago. Thus, this
work shows that not all the molecular gas is destroyed during massive star
evolution, and consequently we are dealing with a new laboratory where one can
learn about the mass-loss phenomena associated to the brief LBV stage.


title:
Some New Unifications in Supersymmetry and Higher Dimensional Complex
  Space

abstract:
  Some new representations of the supersymmetric transformations are derived,
and the supermultiplets are introduced. Based on these representations, various
formulations (equations, commutation relations, propagators, Jacobi identities,
etc.) of bosons and fermions may be unified. On the one hand, the mathematical
characteristic of particles is proposed: bosons correspond to real number, and
fermions correspond to imaginary number, respectively. Such fermions of even
(or odd) number form bosons (or fermions), which is just consistent with a
relation between imaginary and real number. The imaginary number is only
included in the equations, forms, and matrixes of fermions. It is connected
with relativity. On the other hand, the unified forms of supersymmetry are also
connected with the statistics unifying Bose-Einstein and Fermi-Dirac
statistics, and with the possible violation of Pauli exclusion principle; and a
unified partition function is obtained. Therefore, one of the possible
developments is the higher dimensional complex space.


title: Light Higgs Mass Bound in SUSY Left-Right Models

abstract:
  We show that in supersymmetric left-right models (SUSYLR), the upper bound on
the lightest neutral Higgs mass can be appreciably higher than that in minimal
supersymmetric standard model (MSSM). The exact magnitude of the bound depends
on the scale of parity restoration and can be 10-20 GeV above the MSSM bound if
mass of the right-handed gauge boson $W_R$ is in the TeV range. An important
implication of our result is that since SUSYLR models provide a simple
realization of seesaw mechanism for neutrino masses, measurement of the Higgs
boson mass could provide an independent probe of a low seesaw scale.


title: Lorentz Violation, Electrodynamics, and the Cosmic Microwave Background

abstract:
  Vacuum birefringence is a signature of Lorentz-symmetry violation. Here we
report on a recent search for birefringence in the cosmic microwave background.
Polarization data is used to place constraints on certain forms of Lorentz
violation.


title: On the quantum homology algebra of toric Fano manifolds

abstract:
  In this paper we study certain algebraic properties of the quantum homology
algebra for the class of symplectic toric Fano manifolds. In particular, we
examine the semi-simplicity of the quantum homology algebra, and the more
general property of containing a field as a direct summand. Our main result
provides an easily-verified sufficient condition for these properties which is
independent of the symplectic form. Moreover, we answer two questions of Entov
and Polterovich negatively by providing examples of toric Fano manifolds with
non semi-simple quantum homology algebra, and others in which the Calabi
quasi-morphism is non-unique.


title:
On the Inner Curvature of the Second Fundamental Form of a Surface in
  the Hyperbolic Space

abstract:
  The object of study of this article is compact surfaces in the
three-dimensional hyperbolic space with a positive-definite second fundamental
form. It is shown that several conditions on the Gaussian curvature of the
second fundamental form can be satisfied only by extrinsic spheres.


title: Quantum computing using shortcuts through higher dimensions

abstract:
  Quantum computation offers the potential to solve fundamental yet otherwise
intractable problems across a range of active fields of research. Recently,
universal quantum-logic gate sets - the building blocks for a quantum computer
- have been demonstrated in several physical architectures. A serious obstacle
to a full-scale implementation is the sheer number of these gates required to
implement even small quantum algorithms. Here we present and demonstrate a
general technique that harnesses higher dimensions of quantum systems to
significantly reduce this number, allowing the construction of key quantum
circuits with existing technology. We are thereby able to present the first
implementation of two key quantum circuits: the three-qubit Toffoli and the
two-qubit controlled-unitary. The gates are realised in a linear optical
architecture, which would otherwise be absolutely infeasible with current
technology.


title: A proof theoretic analysis of intruder theories

abstract:
  We consider the problem of intruder deduction in security protocol analysis:
that is, deciding whether a given message $M$ can be deduced from a set of
messages $\Gamma$ under the theory of blind signatures and arbitrary convergent
equational theories modulo associativity and commutativity (AC) of certain
binary operators. The traditional formulations of intruder deduction are
usually given in natural-deduction-like systems and proving decidability
requires significant effort in showing that the rules are "local" in some
sense. By using the well-known translation between natural deduction and
sequent calculus, we recast the intruder deduction problem as proof search in
sequent calculus, in which locality is immediate. Using standard proof
theoretic methods, such as permutability of rules and cut elimination, we show
that the intruder deduction problem can be reduced, in polynomial time, to the
elementary deduction problems, which amounts to solving certain equations in
the underlying individual equational theories. We further show that this result
extends to combinations of disjoint AC-convergent theories whereby the
decidability of intruder deduction under the combined theory reduces to the
decidability of elementary deduction in each constituent theory. Although
various researchers have reported similar results for individual cases, our
work shows that these results can be obtained using a systematic and uniform
methodology based on the sequent calculus.


title: Abelian solutions of the KP equation

abstract:
  We introduce the notion of abelian solutions of KP equations and show that
all of them are algebro-geometric.


title: Unstable Quark-Gluon Plasma at LHC

abstract:
  Coupling of the quark-gluon plasma from the early stage of heavy-ion
collisions is argued to be weaker at LHC than at RHIC. For this reason, the
role of instabilities - the pre-equilibrium plasma is unstable with respect to
chromomagnetic modes - will be enhanced. The instabilities isotropize the
system and speed up the process of equilibration. A possibility to observe
direct signals of the instabilities is considered.


title: On Dust Charging Equation

abstract:
  A general derivation of the charging equation of a dust grain is presented,
and indicated where and when it can be used. A problem of linear fluctuations
of charges on the surface of the dust grain is discussed.


title: Mapping Semantic Networks to Undirected Networks

abstract:
  There exists an injective, information-preserving function that maps a
semantic network (i.e a directed labeled network) to a directed network (i.e. a
directed unlabeled network). The edge label in the semantic network is
represented as a topological feature of the directed network. Also, there
exists an injective function that maps a directed network to an undirected
network (i.e. an undirected unlabeled network). The edge directionality in the
directed network is represented as a topological feature of the undirected
network. Through function composition, there exists an injective function that
maps a semantic network to an undirected network. Thus, aside from space
constraints, the semantic network construct does not have any modeling
functionality that is not possible with either a directed or undirected network
representation. Two proofs of this idea will be presented. The first is a proof
of the aforementioned function composition concept. The second is a simpler
proof involving an undirected binary encoding of a semantic network.


title:
Model independent approaches to reionization in the analysis of upcoming
  CMB data

abstract:
  On large angular scales, CMB polarization depends mostly on the evolution of
the ionization level of the IGM during reionization. In order to avoid biasing
parameter estimates, an accurate and model independent approach to reionization
is needed when analyzing high precision data, like those expected from the
Planck experiment. In this paper we consider two recently proposed methods of
fitting for reionization and we discuss their respective advantages. We test
both methods by performing a MonteCarlo Markov Chain analysis of simulated
Planck data, assuming different fiducial reionization histories. We take into
account both temperature and polarization data up to high multipoles, and we
fit for both reionization and non reionization parameters. We find that while a
wrong assumption on reionization may bias \tau_e, A_s and r by 1-3 standard
deviations, other parameters, in particular n_s, are not significantly biased.
The additional reionization parameters introduced by considering the model
independent methods do not affect the accuracy of the estimates of the main
cosmological parameters, the biggest degradation being of order ~ 15% for
\tau_e. Finally, we show that neglecting Helium contribution in the analysis
increases the bias on \tau_e, r and A_s even when a general fitting approach to
reionization is assumed.


title:
A Discrete Representation of Einstein's Geometric Theory of Gravitation:
  The Fundamental Role of Dual Tessellations in Regge Calculus

abstract:
  In 1961 Tullio Regge provided us with a beautiful lattice representation of
Einstein's geometric theory of gravity. This Regge Calculus (RC) is strikingly
different from the more usual finite difference and finite element
discretizations of gravity. In RC the fundamental principles of General
Relativity are applied directly to a tessellated spacetime geometry. In this
manuscript, and in the spirit of this conference, we reexamine the foundations
of RC and emphasize the central role that the Voronoi and Delaunay lattices
play in this discrete theory. In particular we describe, for the first time, a
geometric construction of the scalar curvature invariant at a vertex. This
derivation makes use of a new fundamental lattice cell built from elements
inherited from both the simplicial (Delaunay) spacetime and its circumcentric
dual (Voronoi) lattice. The orthogonality properties between these two lattices
yield an expression for the vertex-based scalar curvature which is strikingly
similar to the corresponding and more familiar hinge-based expression in RC
(deficit angle per unit Voronoi dual area). In particular, we show that the
scalar curvature is simply a vertex-based weighted average of deficits per
weighted average of dual areas. What is most striking to us is how naturally
spacetime is represented by Voronoi and Delaunay structures and that the laws
of gravity appear to be encoded locally on the lattice spacetime with less
complexity than in the continuum, yet the continuum is recovered by convergence
in mean. Perhaps these prominent features may enable us to transcend the
details of any particular discrete model gravitation and yield clues to help us
discover how we may begin to quantize this fundamental interaction.


title: Black hole hair in higher dimensions

abstract:
  We study the property of matter in equilibrium with a static, spherically
symmetric black hole in D-dimensional spacetime. It requires this kind of
matter has an equation of state (\omega\equiv p_r/\rho=-1/(1+2kn), k,n\in
\mathbb{N}), which seems to be independent of D. However, when we associate
this with specific models, some interesting limits on space could be found:
(i)(D=2+2kn) while the black hole is surrounded by cosmic strings;
  (ii)the black hole can be surrounded by linear dilaton field only in
4-dimensional spacetime. In both cases, D=4 is special.


title:
Particle dynamics and effective temperature of jammed granular matter in
  a slowly sheared 3D Couette cell

abstract:
  We report experimental measurements of particle dynamics on slowly sheared
granular matter in a three-dimensional (3D) Couette cell. A closely-packed
ensemble of transparent spherical beads is confined by an external pressure and
filled with fluid to match both the density and refractive index of the beads.
This allows us to track tracer particles embedded in the system and obtain
three-dimensional trajectories as a function of time. We study the PDF of the
vertical and radial displacements, finding Gaussian and exponential
distributions, respectively. For slow shear rates, the mean-square fluctuations
in all three directions are found to be dependent only on the angular
displacement of the Couette cell. Both the diffusivity and mobility of tracer
particles are proportional to the shear rate, giving rise to a constant
effective temperature, characteristic of the jammed system.


title: Dark Matter Substructure in Lensing Galaxies

abstract:
  To set useful limits on the abundance of small-scale dark matter halos
(subhalos) in a galaxy scale, we have carried out mid-infrared imaging and
integral-field spectroscopy for a sample of quadruple lens systems showing
anomalous flux ratios. These observations using Subaru have been successful for
distinguishing millilensing by subhalos from microlensing by stars. Current
status for our lensing analysis of dark matter substructure is reported.


title: Nonnegative Curvature on Low Dimensional Cohomogeneity One Manifolds

abstract:
  This paper has been withdrawn by the author due to a critical error in the
proof of Theorem A pointed out by Burkhard Wilking.


title: Partial Chromatic Polynomials and Diagonally Distinct Sudoku Squares

abstract:
  Sudoku grids can be thought of as graphs where the vertices are the squares
of the grid, and edges join vertices in the same row, column, or sub-grid. A
Sudoku puzzle corresponds to a partial proper coloring of the Sudoku graph. We
provide a new and simpler proof of the theorem which states that the number of
completions of partial colorings of a graph is a polynomial in the number of
colors (originally due to Herzberg and Murty). Moreover, we construct Sudoku
squares of arbitrary size with distinct entries on both diagonals (a similar
proof was first published by Keedwell, unknown to the author).


title:
Dark Matter - Dark Energy coupling biasing parameter estimates from CMB
  data

abstract:
  When CMB data are used to derive cosmological parameters, their very choice
does matter: some parameter values can be biased if the parameter space does
not cover the "true" model. This is a problem, because of the difficulty to
parametrize Dark Energy (DE) physics. We test this risk through numerical
experiments. We create artificial data for dynamical or coupled DE models and
then use MCMC techniques to recover model parameters, by assuming a constant DE
state parameter w and no DM--DE coupling. For the DE potential considered, no
serious bias arises when coupling is absent. On the contrary, \omega_{o,c}, and
thence H_o and \Omega_{o,m}, suffer a serious bias when the "true" cosmology
includes even just a mild DM--DE coupling. Until the dark components keep an
unknown nature, therefore, it can be important to allow for a degree of freedom
accounting for DM--DE coupling, even more than increasing the number of
parameters accounting for the w(a) behavior.


title:
Quasicondensation and coherence in the quasi-two-dimensional trapped
  Bose gas

abstract:
  We simulate a trapped quasi-two-dimensional Bose gas using a classical field
method. To interpret our results we identify the uniform
Berezinskii-Kosterlitz-Thouless (BKT) temperature $T_{BKT}$ as where the system
phase space density satisfies a critical value. We observe that density
fluctuations are suppressed in the system well above $T_{BKT}$ when a
quasi-condensate forms as the first occurrence of degeneracy. At lower
temperatures, but still above $T_{BKT}$, we observe the development of
appreciable coherence as a prominent finite-size effect, which manifests as
bimodality in the momentum distribution of the system.
  At $T_{BKT}$ algebraic decay of off-diagonal correlations occurs near the
trap center with an exponent of 0.25, as expected for the uniform system.
  Our results characterize the low temperature phase diagram for a trapped
quasi-2D Bose gas and are consistent with observations made in recent
experiments.


title:
Concept of momentum-less bodies and a suggestion for its experimental
  verification using ultra-cold atoms

abstract:
  General Principle of Relativity unequivocally supports the notion of
momentum-less energy for bodies (energy-quanta) moving at the {\em same} or
{\em constant} speed relative to all the reference systems. In this
communication, we point out that whether energy-quantum is a momentum-less body
or not is verifiable using ultra-cold atoms trapped in an optical lattice,
perhaps with some minor modifications to the existing such experimental setups.


title: An example of a solid von Neumann algebra

abstract:
  We prove that the group-measure-space von Neumann algebra $L^\infty(T^2)
\rtimes SL(2,Z)$ is solid. The proof uses topological amenability of the action
of $SL(2,Z)$ on the Higson corona of $Z^2$.


title: Experimental generation of four-mode continuous-variable cluster states

abstract:
  Continuous-variable Gaussian cluster states are a potential resource for
universal quantum computation. They can be efficiently and unconditionally
built from sources of squeezed light using beam splitters. Here we report on
the generation of three different kinds of continuous-variable four-mode
cluster states. In our realization, the resulting cluster-type correlations are
such that no corrections other than simple phase-space displacements would be
needed when quantum information propagates through these states. At the same
time, the inevitable imperfections from the finitely squeezed resource states
and from additional thermal noise are minimized, as no antisqueezing components
are left in the cluster states.


title:
Charged oscillator in a heat bath in the presence of a magnetic field &
  third law of thermodynamics

abstract:
  The quantum thermodynamic behaviour of a charged oscillator in the presence
of a magnetic field and coupled to a heat bath through different coupling
schemes is obtained analytically. It is shown that finite dissipation
substitutes the zero-coupling result of exponential decay of entropy by a power
law behaviour at low temperature. For the coordinate-coordinates coupling
scheme the low temperature explicit results for the case of Ohmic,
exponentially correlated and more generalized heat bath models are derived. In
all the above mentioned cases free energy and entropy vanish linearly with
temperature ($T$) as $T\to 0$ in conformity with Nernst's theorem. It is seen
that coordinate (velocity)-velocities (coordinates) coupling is much more
beneficial than the coordinate-coordinates coupling to ensure third law of
thermodynamics. The case of radiation heat bath shows $T^3$ decay behaviour for
entropy as $T\to 0$. It is observed that at low temperature free energy and
entropy decay faster for the velocity-velocities scheme than any other coupling
schemes. This implies velocity-velocities coupling scheme is the most
advantageous coupling scheme in restoring the third law of thermodynamics. It
is shown that the low temperature thermodynamic functions are independent of
magnetic field for all the above mentioned cases except the without dissipation
case.


title: High Dispersion Absorption-line Spectroscopy of AE Aqr

abstract:
  High-dispersion time-resolved spectroscopy of the unique magnetic cataclysmic
variable AE Aqr is presented. A radial velocity analysis of the absorption
lines yields K_2 = 168.7+/- 1 km/s. Substantial deviations of the radial
velocity curve from a sinusoid are interpreted in terms of intensity variations
over the secondary star's surface. A complex rotational velocity curve as a
function of orbital phase is detected which has a modulation frequency of twice
the orbital frequency, leading to an estimate of the binary inclination angle
that is close to 70^o. The minimum and maximum rotational velocities are used
to indirectly derive a mass ratio of q= 0.6 and a radial velocity
semi-amplitude of the white dwarf of K_1 = 101+/-3 km/s. We present an
atmospheric temperature indicator, based on the absorption line ratio of Fe I
and Cr I lines, whose variation indicates that the secondary star varies from
K0 to K4 as a function of orbital phase. The ephemeris of the system has been
revised, using more than one thousand radial velocity measurements, published
over nearly five decades. From the derived radial velocity semi-amplitudes and
the estimated inclination angle, we calculate that the masses of the stars are
M_1 = 0.63+/-0.05M_sun; M_2 = 0.37+/-0.04 M_sun, and their separation is a =
2.33+/-0.02R_sun. Our analysis indicates the presence of a late-type star whose
radius is larger, by a factor of nearly two, than the radius of a normal main
sequence star of its mass. Finally we discuss the possibility that the measured
variations in the rotational velocity, temperature, and spectral type of the
secondary star as functions of orbital phase may, like the radial velocity
variations, be attributable to regions of enhanced absorption on the star's
surface.


title:
Generalised Hermite Constants, Voronoi Theory and Heights on Flag
  Varieties

abstract:
  This paper explores the study of the general Hermite constant associated to
the general linear group and its irreducible representations, as defined by T.
Watanabe. To that end, a height, which naturally applies to flag varieties, is
built and notions of perfection and eutaxy characterising extremality are
introduced. Finally we acquaint some relations (e.g. with Korkine--Zolotareff
reduction), upper bounds and computation relative to these constants.


title:
Increase of Superconducting Correlation due to Dimensionality Change in
  Quasi-One-Dimensional Conductors

abstract:
  Response functions for spin-density-wave (SDW) and d-wave singlet
superconductivity ($d$SC) in quasi-one-dimensional (Q1D) electron systems are
calculated by a renormalization group technique. It is shown that the response
functions for both SDW, $\chi_\rs$, and $d$SC, $\chi_d$, are enhanced by
interchain hopping, $t_\perp$, i.e., by quasi-one dimensionality. When the
Fermi surface deviates from perfect nesting, $\chi_\rs$ saturates below the
energy scale of imperfectness of the nesting, while $\chi_d$ is hardly
affected. Consequently, the superconducting correlation increases even away
from the SDW phase. This gives a possible interpretation of the recent
experimental results of Q1D organic conductor (TMTTF)$_2$SbF$_6$, where $T_{\rm
c}$ increases even away from the SDW phase.


title:
Discreteness Effects in Lambda Cold Dark Matter Simulations: A
  Wavelet-Statistical View

abstract:
  The effects of particle discreteness in N-body simulations of Lambda Cold
Dark Matter (LambdaCDM) are still an intensively debated issue. In this paper
we explore such effects, taking into account the scatter caused by the
randomness of the initial conditions, and focusing on the statistical
properties of the cosmological density field. For this purpose, we run large
sets of LambdaCDM simulations and analyse them using a large variety of
diagnostics, including new and powerful wavelet statistics. Among other facts,
we point out (1) that dynamical evolution does not propagate discreteness noise
up from the small scales at which it is introduced, and (2) that one should aim
to satisfy the condition epsilon ~ 2d, where "epsilon" is the force resolution
and "d" is the interparticle distance. We clarify what such a condition means,
and how to implement it in modern cosmological codes.


title:
Collapsing and static thin massive charged dust shells in a
  Reissner-Nordstr\"om black hole background in higher dimensions

abstract:
  The problem of a spherically symmetric charged thin shell of dust collapsing
gravitationally into a charged Reissner-Nordstr\"om black hole in $d$ spacetime
dimensions is studied within the theory of general relativity. Static charged
shells in such a background are also analyzed. First a derivation of the
equation of motion of such a shell in a $d$-dimensional spacetime is given.
Then a proof of the cosmic censorship conjecture in a charged collapsing
framework is presented, and a useful constraint which leads to an upper bound
for the rest mass of a charged shell with an empty interior is derived. It is
also proved that a shell with total mass equal to charge, i.e., an extremal
shell, in an empty interior, can only stay in neutral equilibrium outside its
gravitational radius. This implies that it is not possible to generate a
regular extremal black hole by placing an extremal dust thin shell within its
own gravitational radius. Moreover, it is shown, for an empty interior, that
the rest mass of the shell is limited from above. Then several types of
behavior of oscillatory charged shells are studied. In the presence of a
horizon, it is shown that an oscillatory shell always enters the horizon and
reemerges in a new asymptotically flat region of the extended
Reissner-Nordstr\"om spacetime. On the other hand, for an overcharged interior,
i.e., a shell with no horizons, an example showing that the shell can achieve a
stable equilibrium position is presented. The results presented have
applications in brane scenarios with extra large dimensions, where the creation
of tiny higher dimensional charged black holes in current particle accelerators
might be a real possibility, and generalize to higher dimensions previous
calculations on the dynamics of charged shells in four dimensions.


title:
Time-frequency clustering for burst gravitational waves search in
  TAMA300 data

abstract:
  We have developed a method 'time-frequency (TF) clustering' to find the burst
gravitational waves for TAMA data analysis. TF clustering method on sonogram
(spectrogram) shows some characteristics of short duration signal. Using
parameters which represent the cluster shape, we can efficiently identify some
predicted gravitational wave forms and can exclude typical unstable spike like
noises due to detector instruments. The requirement of some parameters of
cluster achieved roughly 50% average efficiency for injected DFM waveforms of
$h_{rss}\sim 2 \times 10^{-19}$ for type I burst. Also the reduction for signal
by spike noises are more than one order improvement for the SNR$>$100.


title: An Attempt Towards Field Theory of D0 Branes -- Quantum M-Field Theory

abstract:
  I discuss my recent attempt in search of a new framework for quantum field
theory of D branes. After explaining some motivations in the background of this
project, I present, as a first step towards our goal, a second-quantized
reformulation of the U(N) Yang-Mills quantum mechanics in which the D0-brane
creation-and-annihilation fields connecting theories with different N are
introduced. Physical observables are expressed in terms of bilinear forms of
the D0 fields. The large N limit is briefly treated using this new formalism.


title:
The Pointwise Estimates of Solutions for Semilinear Dissipative Wave
  Equation

abstract:
  In this paper we focus on the global-in-time existence and the pointwise
estimates of solutions to the initial value problem for the semilinear
dissipative wave equation in multi-dimensions. By using the method of Green
function combined with the energy estimates, we obtain the pointwise estimates
of the solution.


title:
Diffuse stellar emission in X-ray luminous galaxy clusters at z~0.3 I.
  Is the diffuse optical light boosted and rejuvenated in merging clusters?

abstract:
  [Abridged] We searched for diffuse stellar emission around BCGs in three of
the most X-ray luminous clusters found at z~0.3 in the REFLEX cluster survey
and observed with XMM-Newton. These systems (RXCJ0014.3-3022, RXCJ0232.2-4420,
and RXCJ2308.3-0211) are in different dynamical states, as witnessed by their
X-ray morphology and optical appearence (e.g. multiplicity of BCGs). [Abridged]
Diffuse stellar emission is robustly detected down to a surface brightness of
26 R-mag/arcsec^2 (observed frame) around a total of seven BCGs, extending up
to galactocentric distances of ~100 kpc. In particular, it surrounds a pair of
BCGs in RXCJ0232.2-4420, while it bridges two BCGs associated with the minor
subcomponent of the merging cluster RXCJ0014.3-3022. The diffuse light detected
at the greatest distances from the BCGs of the rather regular clusters
RXCJ0232.2-4420 and RXCJ2308.3-0211 follows the ICM distribution. Its B-R
colour is consistent with the colours measured within the BCG effective radii.
The diffuse light around the two pairs of BCGs in RXCJ0014.3-3022 exhibits
bluer colours than the BCG central regions by up to 0.5 mag. If the
contribution of the intracluster light (ICL) to the detected diffuse light
around BCGs is not negligible, ICL and BCGs have similar stellar populations in
relatively relaxed clusters. Merging on a cluster scale eventually adds
gravitational stresses to BCGs and other galaxies in subcluster cores. This
event may affect the properties of the diffuse stellar emission around BCGs.
Shredding of star-forming, low-metallicity dwarf galaxies is favoured as the
cause of the bluer B-R colours of the diffuse stellar component around the two
pairs of BCGs in the merging cluster RXCJ0014.3-3022.


title: The Phases of Non-Compact QED(3)

abstract:
  Non-compact three-dimensional QED is studied by computer simulations to
understand its chiral symmetry breaking features for different values of the
number of fermion flavors N_f. We consider the four-component formulation for
the fermion fields, which arises naturally as the continuum limit of the
staggered fermion construction in (2+1) dimensions. We present preliminary
results for the equation of state of the theory in an effort to understand the
properties of the chiral phase transition of the theory at a critical number of
fermion flavors N_{fc}. Our preliminary results indicate that N_{fc}~1.5.

categories: hep-lat cond-mat.str-el cond-mat.supr-con hep-ph


title: Thermodynamics of Einstein-Born-Infeld black holes in three dimensions

abstract:
  We show that all thermodynamic quantities of the Einstein-Born-Infeld black
holes in three dimensions can be obtained from the dilaton and its potential of
two dimensional dilaton gravity through the dimensional reduction. These are
all between non-rotating uncharged BTZ black hole (NBTZ) and charged BTZ black
hole (CBTZ).


title:
Ito's formula in UMD Banach spaces and regularity of solutions of the
  Zakai equation

abstract:
  Using the theory of stochastic integration for processes with values in a UMD
Banach space developed recently by the authors, an Ito formula is proved which
is applied to prove the existence of strong solutions for a class of stochastic
evolution equations in UMD Banach spaces. The abstract results are applied to
prove regularity in space and time of the solutions of the Zakai equation.


abstract:
  Fundamental solution of degenerated Fokker - Planck equation is built by
means of the Fourier transform method. The result is checked by direct
calculation.


title:
Self-consistent interaction of neutrals and shocks in the local
  interstellar medium

abstract:
  The problem of hydrogen neutrals interacting with the heliospheric bow shock
region has received considerable attention recently, motivated primarily by the
hope that the Voyager spacecraft may soon encounter the first of the
heliospheric boundaries. The complexity of the charge exchange interactions has
limited our analytic understanding so far. In this work we develop a
semi-analytic one-dimensional model based upon a double expansion technique to
investigate the self-consistent interaction of shock with neutrals. The
underlying method uses the Boltzmann transport equation that describes neutral
transport, and is coupled to plasma protons predominantly through charge
exchange processes. The gyrotropic distribution function of the neutrals is
first expanded in terms of Legendre polynomials followed by associated Laguerre
harmonics. The resulting set of equations can be cast into a square matrix
whose eigenvalues depend upon sources and the plasma distribution. The
interstellar protons, in a high $\beta$ limit, are described by a hydrodynamic
fluid with source terms that couple neutrals and plasma and further modify both
distributions in a self-consistent manner.


title: Noncanonical Polynomial Representations of Classical Lie Algebras

abstract:
  Using the skew-symmetry of the differential operators and multiplication
operators in the canonical representations of finite-dimensional classical Lie
algebras, we obtain some noncanonical polynomial representations of the
classical Lie algebras. The representation spaces of all polynomials are
decomposed into irreducible submodules, which are infinite-dimensional. Bases
for the irreducible submodules are constructed. In particular, we obtain some
new infinite-dimensional irreducible modules of symplectic Lie algebras that
are not of highest weight type.


title:
On the obstruction to linearizability of 2-order ordinary differential
  equations

abstract:
  In this paper, we investigate the action of pseudogroup of all point
transformations on the natural bundle of equations $y'' = u^0(x,y) + u^1(x,y)y'
+ u^2(x,y)(y')^2 + u^3(x,y)(y')^3$. We calculate the 1-st nontrivial
differential invariant of this action. It is a horizontal differential 2-form
with values in some algebra, it is defined on the bundle of 2--jets of sections
of the considered bundle. We prove that this form is a unique obstruction to
linearizability of these equations by point transformations.


title:
In-Field Critical Current of Type-II Superconductors Caused by Strain
  from Nano-scale Columnar Inclusions

abstract:
  The results of a linear elasticity analysis yields that nano-rod inclusions
aligned along the c axis of a thin film of YBa2Cu3O{7-delta}, such as BaZrO3
and BaSnO3, squeeze that matrix by pure shear. The sensitivity of the
superconducting critical temperature in that material to the latter implies
that the phase boundary separating the nano-rod inclusion from the
superconductor acts as a collective pinning center for the vortex lattice that
appears in external magnetic field. A dominant contribution to the in-field
critical current can result. The elasticity analysis also finds that the growth
of nano-rod inclusions can be weakly metastable when the inclusion is softer
than the matrix.


title: On the Truncated Pareto Distribution with applications

abstract:
  The Pareto probability distribution is widely applied in different fields
such us finance, physics, hydrology, geology and astronomy. This note deals
with an application of the Pareto distribution to astrophysics and more
precisely to the statistical analysis of mass of stars and of diameters of
asteroids. In particular a comparison between the usual Pareto distribution and
its truncated version is presented. Finally a possible physical mechanism that
produces Pareto tails for the distribution of the masses of stars is suggested.


title: Two photons into \pi^0\pi^0

abstract:
  We perform a theoretical study based on dispersion relations of the reaction
\gamma\gamma\to \pi^0\pi^0 emphasizing the low energy region. We discuss how
the f_0(980) signal emerges in \gamma\gamma\to \pi\pi within the dispersive
approach and how this fixes to a large extent the phase of the isoscalar S-wave
\gamma\gamma\to \pi\pi amplitude above the K\bar{K} threshold. This allows us
to make sharper predictions for the cross section at lower energies and our
results could then be used to distinguish between different \pi\pi isoscalar
S-wave parameterizations with the advent of new precise data on
\gamma\gamma\to\pi^0\pi^0. We compare our dispersive approach with an updated
calculation employing Unitary Chiral Perturbation Theory (U\chiPT). We also pay
special attention to the role played by the \sigma resonance in
\gamma\gamma\to\pi\pi and calculate its coupling and width to gamma\gamma, for
which we obtain \Gamma(\sigma\to\gamma\gamma)=(1.68\pm 0.15) KeV.


title: The $^{8}$He and $^{10}$He spectra studied in the $(t$,$p)$ reaction

abstract:
  The low-lying spectra of $^8$He and $^{10}$He nuclei were studied in the
$^3$H($^6$He,$p$)$^8$He and $^3$H($^8$He,$p$)$^{10}$He transfer reactions. The
$0^+$ ground state (g.s.) of $^8$He and excited states, $2^+$ at $3.6-3.9$ MeV
and $(1^+)$ at $5.3-5.5$ MeV, were populated with cross sections of 200,
100-250, and 90-125 $\mu$b/sr, respectively. Some evidence for $^8$He state at
about 7.5 MeV is obtained. We discuss a possible nature of the near-threshold
anomaly above 2.14 MeV in $^8$He and relate it to the population of a $1^-$
continuum (soft dipole excitation) with peak value at about 3 MeV. The lowest
energy group of events in the $^{10}$He spectrum was observed at $\sim 3$ MeV
with a cross section of $\sim 140$ $\mu$b/sr. We argue that this result is
possibly consistent with the previously reported observation of $^{10}$He, in
that case providing a new g.s. position for $^{10}$He at about 3 MeV.


title:
Probabilistic Interpretation for Systems of Isaacs Equations with Two
  Reflecting Barriers

abstract:
  In this paper we investigate zero-sum two-player stochastic differential
games whose cost functionals are given by doubly controlled reflected backward
stochastic differential equations (RBSDEs) with two barriers. For admissible
controls which can depend on the whole past and so include, in particular,
information occurring before the beginning of the game, the games are
interpreted as games of the type "admissible strategy" against "admissible
control", and the associated lower and upper value functions are studied. A
priori random, they are shown to be deterministic, and it is proved that they
are the unique viscosity solutions of the associated upper and the lower
Bellman-Isaacs equations with two barriers, respectively. For the proofs we
make full use of the penalization method for RBSDEs with one barrier and RBSDEs
with two barriers. For this end we also prove new estimates for RBSDEs with two
barriers, which are sharper than those in [18]. Furthermore, we show that the
viscosity solution of the Isaacs equation with two reflecting barriers not only
can be approximated by the viscosity solutions of penalized Isaacs equations
with one barrier, but also directly by the viscosity solutions of penalized
Isaacs equations without barrier.


title: A Charge and Spin Readout Scheme For Single Self-Assembled Quantum Dots

abstract:
  We propose an all optical spin initialization and readout concept for single
self assembled quantum dots and demonstrate its feasibility. Our approach is
based on a gateable single dot photodiode structure that can be switched
between charge and readout mode. After optical electron generation and storage,
we propose to employ a spin-conditional absorption of a circularly polarized
light pulse tuned to the single negatively charged exciton transition to
convert the spin information of the resident electron to charge occupancy.
Switching the device to the charge readout mode then allows us to probe the
charge state of the quantum dot (1e, 2e) using non-resonant luminescence. The
spin orientation of the resident electron is then reflected by the
photoluminescence yield of doubly and singly charged transitions in the quantum
dot. To verify the feasibility of this spin readout concept, we have applied
time gated photoluminescence to confirm that selective optical charging and
efficient non perturbative measurement of the charge state can be performed on
the same dot. The results show that, by switching the electric field in the
vicinity of the quantum dot, the charging rate can be switched between a regime
of efficient electron generation and a readout regime, where the charge
occupancy and, therefore, the spin state of the dot can be tested via PL over
millisecond timescales, without altering it.


title: Zero-sum free sequences with small sum-set

abstract:
  Let A be a zero-sum free subset of Z_n with |A|=k. We compute for k\le 7 the
least possible size of the set of all subset-sums of A.


title: Towards the Core of the Quantum Monopole

abstract:
  We study monopole solutions of the quantum exact low-energy effective N=2
super Yang-Mills theories of Seiberg and Witten. We find a first order
differential equation for the spatial dependence of the moduli and show that it
can be interpreted as an attractor equation. Numerically integrating this
equation, we try to address the question of what happens when one approaches
the quantum core of the monopole where the low energy effective theory breaks
down or, alternatively, if there are modified monopole solutions that do not
have a strongly coupled quantum core so that one may trust the solution not
only asymptotically.


title: Divergent Vortex Mass in a Superconducting Film in Proximity to a Metal

abstract:
  We consider a moving vortex in a two dimensional superconductor located at a
distance $d$ from a metallic overlayer. Starting from the microscopic imaginary
time action we integrate out the electronic degrees of freedom to obtain a low
energy, long wavelength effective action for the vortex. We focus our attention
on the vortex kinetic energy and derive a general expression for the vortex
mass. We find that in the limit $d\to \infty$ the Coulomb screening of the
density fluctuations, associated with vortex motion, results in a very small
vortex mass as has been obtained in earlier studies. In the opposite limit of
$d\ll \xi $ where $\xi$ is the coherence length of the superconductor we find
that the vortex mass diverges logarithmically with the size of the system as
the proximity to the metal makes the screening processes, that usually make the
mass small, ineffective. We comment on the relevance of our results to recent
experiments which show a dramatic fall in resistance when a metallic gate is
placed near a supeconducting film in a magnetic field at low temperature.


title:
Stability results for uniquely determined sets from two directions in
  discrete tomography

abstract:
  In this paper we prove several new stability results for the reconstruction
of binary images from two projections. We consider an original image that is
uniquely determined by its projections and possible reconstructions from
slightly different projections. We show that for a given difference in the
projections, the reconstruction can only be disjoint from the original image if
the size of the image is not too large. We also prove an upper bound for the
size of the image given the error in the projections and the size of the
intersection between the image and the reconstruction.


title:
Parts-of-Speech Tagger Errors Do Not Necessarily Degrade Accuracy in
  Extracting Information from Biomedical Text

abstract:
  A recent study reported development of Muscorian, a generic text processing
tool for extracting protein-protein interactions from text that achieved
comparable performance to biomedical-specific text processing tools. This
result was unexpected since potential errors from a series of text analysis
processes is likely to adversely affect the outcome of the entire process. Most
biomedical entity relationship extraction tools have used biomedical-specific
parts-of-speech (POS) tagger as errors in POS tagging and are likely to affect
subsequent semantic analysis of the text, such as shallow parsing. This study
aims to evaluate the parts-of-speech (POS) tagging accuracy and attempts to
explore whether a comparable performance is obtained when a generic POS tagger,
MontyTagger, was used in place of MedPost, a tagger trained in biomedical text.
Our results demonstrated that MontyTagger, Muscorian's POS tagger, has a POS
tagging accuracy of 83.1% when tested on biomedical text. Replacing MontyTagger
with MedPost did not result in a significant improvement in entity relationship
extraction from text; precision of 55.6% from MontyTagger versus 56.8% from
MedPost on directional relationships and 86.1% from MontyTagger compared to
81.8% from MedPost on nondirectional relationships. This is unexpected as the
potential for poor POS tagging by MontyTagger is likely to affect the outcome
of the information extraction. An analysis of POS tagging errors demonstrated
that 78.5% of tagging errors are being compensated by shallow parsing. Thus,
despite 83.1% tagging accuracy, MontyTagger has a functional tagging accuracy
of 94.6%.


title: Moore and more and symmetry

abstract:
  In any spatially discrete model of pedestrian motion which uses a regular
lattice as basis, there is the question of how the symmetry between the
different directions of motion can be restored as far as possible but with
limited computational effort. This question is equivalent to the question ''How
important is the orientation of the axis of discretization for the result of
the simulation?'' An optimization in terms of symmetry can be combined with the
implementation of higher and heterogeniously distributed walking speeds by
representing different walking speeds via different amounts of cells an agent
may move during one round. Therefore all different possible neighborhoods for
speeds up to v = 10 (cells per round) will be examined for the amount of
deviation from radial symmetry. Simple criteria will be stated which will allow
find an optimal neighborhood for each speed. It will be shown that following
these criteria even the best mixture of steps in Moore and von Neumann
neighborhoods is unable to reproduce the optimal neighborhood for a speed as
low as 4.


title:
Universal X-ray emissivity of the stellar population in early-type
  galaxies: unresolved X-ray sources in NGC 3379

abstract:
  We use deep Chandra observations to measure the emissivity of the unresolved
X-ray emission in the elliptical galaxy NGC 3379. After elimination of bright,
low-mass X-ray binaries with luminosities >10^{36 erg/sec, we find that the
remaining unresolved X-ray emission is characterized by an emissivity per unit
stellar mass L_x/M_stars ~8.2x10^{27} erg/s/M_sun in the 0.5-2 keV energy band.
This value is in good agreement with those previousely determined for the dwarf
elliptical galaxy M32, the bulge of the spiral galaxy M31 and the Milky Way, as
well as with the integrated X-ray emissivity of cataclysmic variables and
coronally active binaries in the Solar neighborhood. This strongly suggests
that i) the bulk of the unresolved X-ray emission in NGC 3379 is produced by
its old stellar population and ii) the old stellar populations in all galaxies
can be characterized by a universal value of X-ray emissivity per unit stellar
mass or per unit K band luminosity.


title: Experimental continuation of periodic orbits through a fold

abstract:
  We present a continuation method that enables one to track or continue
branches of periodic orbits directly in an experiment when a parameter is
changed. A control-based setup in combination with Newton iterations ensures
that the periodic orbit can be continued even when it is unstable. This is
demonstrated with the continuation of initially stable rotations of a
vertically forced pendulum experiment through a fold bifurcation to find the
unstable part of the branch.


title: Existence of an infinite particle limit of stochastic ranking process

abstract:
  We study a stochastic particle system which models the time evolution of the
ranking of books by online bookstores (e.g., Amazon). In this system, particles
are lined in a queue. Each particle jumps at random jump times to the top of
the queue, and otherwise stays in the queue, being pushed toward the tail every
time another particle jumps to the top. In an infinite particle limit, the
random motion of each particle between its jumps converges to a deterministic
trajectory. (This trajectory is actually observed in the ranking data on web
sites.) We prove that the (random) empirical distribution of this particle
system converges to a deterministic space-time dependent distribution. A core
of the proof is the law of large numbers for {\it dependent} random variables.


title: Origin and control of high-temperature ferromagnetism in semiconductors

abstract:
  The extensive experimental and computational search for multifunctional
materials has resulted in the development of semiconductor and oxide systems,
such as (Ga,Mn)N, (Zn,Cr)Te, and HfO2, which exhibit surprisingly stable
ferromagnetic signatures despite having a small or nominally zero concentration
of magnetic elements. Here, we show that the ferromagnetism of (Zn,Cr)Te, and
the associated magnetooptical and magnetotransport functionalities, are
dominated by the formation of Cr-rich (Zn,Cr)Te metallic nanocrystals embedded
in the Cr-poor (Zn,Cr)Te matrix. Importantly, the formation of these
nanocrystals can be controlled by manipulating the charge state of Cr ions
during the epitaxy. The findings provide insight into the origin of
ferromagnetism in a broad range of semiconductors and oxides, and indicate
possible functionalities of these composite systems. Furthermore, they
demonstrate a bottom-up method for self-organized nanostructure fabrication
that is applicable to any system in which the charge state of a constituent
depends on the Fermi-level position in the host semiconductor.


title:
Thermoelectric properties of the bismuth telluride nanowires in the
  constant-relaxation-time approximation

abstract:
  Electronic structure of bismuth telluride nanowires with the growth
directions [110] and [015] is studied in the framework of anisotropic effective
mass method using the parabolic band approximation. The components of the
electron and hole effective mass tensor for six valleys are calculated for both
growth directions. For a square nanowire, in the temperature range from 77 K to
500 K, the dependence of the Seebeck coefficient, the electron thermal and
electrical conductivity as well as the figure of merit ZT on the nanowire
thickness and on the excess hole concentration are investigated in the
constant-relaxation-time approximation. The carrier confinement is shown to
play essential role for square nanowires with thickness less than 30 nm. The
confinement decreases both the carrier concentration and the thermal
conductivity but increases the maximum value of Seebeck coefficient in contrast
to the excess holes (impurities). The confinement effect is stronger for the
direction [015] than for the direction [110] due to the carrier mass difference
for these directions. The carrier confinement increases maximum value of ZT and
shifts it towards high temperatures. For the p-type bismuth telluride nanowires
with growth direction [110], the maximum value of the figure of merit is equal
to 1.3, 1.6, and 2.8, correspondingly, at temperatures 310 K, 390 K, 480 K and
the nanowire thicknesses 30 nm, 15 nm, and 7 nm. At the room temperature, the
figure of merit equals 1.2, 1.3, and 1.7, respectively.


title: Quantum Stability for the Heisenberg Ferromagnet

abstract:
  Highly spinning classical strings on RxS^3 are described by the
Landau-Lifshitz model or equivalently by the Heisenberg ferromagnet in the
thermodynamic limit. The spectrum of this model can be given in terms of
spectral curves. However, it is a priori not clear whether any given admissible
spectral curve can actually be realised as a solution to the discrete Bethe
equations, a property which can be referred to as stability. In order to study
the issue of stability, we find and explore the general two-cut solution or
elliptic curve. It turns out that the moduli space of this elliptic curve shows
a surprisingly rich structure. We present the various cases with illustrations
and thus gain some insight into the features of multi-cut solutions. It appears
that all admissible spectral curves are indeed stable if the branch cuts are
positioned in a suitable, non-trivial fashion.

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


title:
Anomalous magnetic and transport properties of La(0.8-x)Eu(x)Sr0.2MnO3
  (0.04 l.e. x l.e. 0.36) compounds

abstract:
  Anomalous magnetic and transport properties observed in the
La0.8-xEuxSr0.2MnO3 (0.04 l.e x l.e. 0.36) compounds are presented in this
paper. The Curie temperature (TC) decreases from 260 K for x = 0.04 to 188 K
for x = 0.16 and surprisingly thereafter increases for higher Eu concentrations
(x > 0.16) and becomes nearly constant ~230 K. Resistivity increases with Eu
concentration up to x = 0.16 but decreases for higher Eu concentration (x >
0.16). In the magnetoresistance data, in addition to a peak corresponding to
the insulator-metal transition at (TI-M1), a second peak is also observed at a
relatively lower temperature, (TI-M2). Both TI-M1 and TI-M2 follow the same
trend as TC. The unique variation of TC and magnetoresistance is explained on
the basis of structure and disorder correlated to microscopic electronic phase
segregation. The studies with the existing studies also point to the
universibility of this consideration.


title: Injective Spaces via Adjunction

abstract:
  Our work over the past years shows that not only the collection of (for
instance) all topological spaces gives rise to a category, but also each
topological space can be seen individually as a category by interpreting the
convergence relation $\mathfrak{x}\to x$ between ultrafilters and points of a
topological space $X$ as arrows in $X$. Naturally, this point of view opens the
door to the use of concepts and ideas from (enriched) Category Theory for the
investigation of (for instance) topological spaces. In this paper we study
cocompleteness, adjoint functors and Kan extensions in the context of
topological theories. We show that the cocomplete spaces are precisely the
injective spaces, and they are algebras for a suitable monad on $\SET$. This
way we obtain enriched versions of known results about injective topological
spaces and continuous lattices.


title: The large deviation approach to statistical mechanics

abstract:
  The theory of large deviations is concerned with the exponential decay of
probabilities of large fluctuations in random systems. These probabilities are
important in many fields of study, including statistics, finance, and
engineering, as they often yield valuable information about the large
fluctuations of a random system around its most probable state or trajectory.
In the context of equilibrium statistical mechanics, the theory of large
deviations provides exponential-order estimates of probabilities that refine
and generalize Einstein's theory of fluctuations. This review explores this and
other connections between large deviation theory and statistical mechanics, in
an effort to show that the mathematical language of statistical mechanics is
the language of large deviation theory. The first part of the review presents
the basics of large deviation theory, and works out many of its classical
applications related to sums of random variables and Markov processes. The
second part goes through many problems and results of statistical mechanics,
and shows how these can be formulated and derived within the context of large
deviation theory. The problems and results treated cover a wide range of
physical systems, including equilibrium many-particle systems, noise-perturbed
dynamics, nonequilibrium systems, as well as multifractals, disordered systems,
and chaotic systems. This review also covers many fundamental aspects of
statistical mechanics, such as the derivation of variational principles
characterizing equilibrium and nonequilibrium states, the breaking of the
Legendre transform for nonconcave entropies, and the characterization of
nonequilibrium fluctuations through fluctuation relations.


title: A locally finite model for gravity

abstract:
  Matter interacting classically with gravity in 3+1 dimensions usually gives
rise to a continuum of degrees of freedom, so that, in any attempt to quantize
the theory, ultraviolet divergences are nearly inevitable. Here, we investigate
matter of a form that only displays a finite number of degrees of freedom in
compact sections of space-time. In finite domains, one has only exact, analytic
solutions. This is achieved by limiting ourselves to straight pieces of string,
surrounded by locally flat sections of space-time. Globally, however, the model
is not finite, because solutions tend to generate infinite fractals. The model
is not (yet) quantized, but could serve as an interesting setting for
analytical approaches to classical general relativity, as well as a possible
stepping stone for quantum models. Details of its properties are explained, but
some problems remain unsolved, such as a complete description of the most
violent interactions, which can become quite complex.


title: Brane Tilings for Orientifolds

abstract:
  We give an elementary introduction to the recent derivation of the effective
low-energy gauge theories of D3-branes probing orientifolds of toric Calabi-Yau
3-fold singularities via brane tiling techniques.


title:
Equation of motion for incompressible mixed fluid driven by evaporation
  and its application to online rankings

abstract:
  We give a unique classical solution to initial value problem for a system of
partial differential equations for the densities of components of one
dimensional incompressible fluid mixture driven by evaporation. Motivated by
the known fact that the solution appears as an infinite particle limit of
stochastic ranking processes, which is a simple stochastic model of time
evolutions of e.g., Amazon Sales Ranks, we collected data from the web and
performed statistical fits to our formula. The results suggest that the fluid
equations and solutions may have an application in the analysis of online
rankings.


title: Role of scaling in the statistical modeling of finance

abstract:
  Modeling the evolution of a financial index as a stochastic process is a
problem awaiting a full, satisfactory solution since it was first formulated by
Bachelier in 1900. Here it is shown that the scaling with time of the return
probability density function sampled from the historical series suggests a
successful model. The resulting stochastic process is a heteroskedastic,
non-Markovian martingale, which can be used to simulate index evolution on the
basis of an auto-regressive strategy. Results are fully consistent with
volatility clustering and with the multi-scaling properties of the return
distribution. The idea of basing the process construction on scaling, and the
construction itself, are closely inspired by the probabilistic renormalization
group approach of statistical mechanics and by a recent formulation of the
central limit theorem for sums of strongly correlated random variables.


title:
The Effect of Higher Harmonic Corrections on the Detection of massive
  black hole binaries with LISA

abstract:
  Massive black hole binaries are key targets for the space based gravitational
wave interferometer LISA. Several studies have investigated how LISA
observations could be used to constrain the parameters of these systems. Until
recently, most of these studies have ignored the higher harmonic corrections to
the waveforms. Here we analyze the effects of the higher harmonics in more
detail by performing extensive Monte Carlo simulations. We pay particular
attention to how the higher harmonics impact parameter correlations, and show
that the additional harmonics help mitigate the impact of having two laser
links fail, by allowing for an instantaneous measurement of the gravitational
wave polarization with a single interferometer channel. By looking at parameter
correlations we are able to explain why certain mass ratios provide dramatic
improvements in certain parameter estimations, and illustrate how the improved
polarization measurement improves the prospects for single interferometer
operation.


title:
The Necessary and Sufficient Conditions for Transformation from Dirac
  Representation to Foldy-Wouthuysen Representation

abstract:
  The paper describes conditions for transformation from the Dirac
representation to the Foldy-Wouthuysen representation. The necessary condition
is the block-diagonal transformation of Hamiltonian relative to the upper and
lower components of the wave function. The sufficient condition is the wave
function transformation law described by relation (6). It has been demonstrated
that the unitary transformations offered by the authors of the papers [14],
[15], [16], [17] do not satisfy the sufficiency condition (6) and, hence, they
are not the Foldy-Wouthuysen transformations. In applications, the matrix
elements of any operator in the FW representation can be calculated, according
to (6), using the normalized two-component wave functions in the Dirac
representation known for the given problem.


title: Spin quantum plasmas - new aspects of collective dynamics

abstract:
  Quantum plasmas is a rapidly expanding field of research, with applications
ranging from nanoelectronics, nanoscale devices and ultracold plasmas, to
inertial confinement fusion and astrophysics. Here we give a short systematic
overview of quantum plasmas. In particular, we analyze the collective effects
due to spin using fluid models. The introduction of an intrinsic magnetization
due to the plasma electron (or positron) spin properties in the
magnetohydrodynamic limit is discussed. Finally, a discussion of the theory and
examples of applications is given.


title: Quantum, spin and QED effects in plasmas

abstract:
  Plasmas are usually described using classical equations. While this is often
a good approximation, where are situations when a quantum description is
motivated. In this paper we will include several quantum effects, ranging from
particle dispersion, which give raise to the so called Bohm potential, to spin
effects, and to quantum electrodynamical effects. The later effects appears
when the field strength approaches the Schwinger critical field, which may
occur in for example astrophysical systems. Examples of how to model such
quantum effects will be presented, and the phenomena resulting from these
models will be discussed.


title:
Sterile neutrino dark matter in $B-L$ extension of the standard model
  and galactic 511 keV line

abstract:
  Sterile right-handed neutrinos can be naturally embedded in a low scale
gauged $U(1)_{B-L}$ extension of the standard model. We show that, within a low
reheating scenario, such a neutrino is an interesting candidate for dark
matter. We emphasize that if the neutrino mass is of order of MeV, then it
accounts for the measured dark matter relic density and also accommodates the
observed flux of 511 keV photons from the galactic bulge.


title: On the Convexity of the MSE Region of Single-Antenna Users

abstract:
  We prove convexity of the sum-power constrained mean square error (MSE)
region in case of two single-antenna users communicating with a multi-antenna
base station. Due to the MSE duality this holds both for the vector broadcast
channel and the dual multiple access channel. Increasing the number of users to
more than two, we show by means of a simple counter-example that the resulting
MSE region is not necessarily convex any longer, even under the assumption of
single-antenna users. In conjunction with our former observation that the two
user MSE region is not necessarily convex for two multi-antenna users, this
extends and corrects the hitherto existing notion of the MSE region geometry.


title: Dynamics effects in gradient theory for fluid mixtures

abstract:
  We propose a new method to study motions of mixtures in fluid interfaces. We
extend the equations of equilibrium in interfaces and the results associated
with travelling waves for van der Waals like fluids. Maxwell rule is extended
to interfaces of fluid mixtures out of equilibrium. Formulae like Clapeyron
relation are obtained for isothermal layers.


title: Remarks on special symplectic connections

abstract:
  The notion of special symplectic connections is closely related to contact
parabolic geometries due to the work of M. Cahen and L. Schwachh\"ofer. We
remind their characterization and reinterpret the result in terms of
generalized Weyl connections. The aim of this paper is to provide an
alternative and more explicit construction of special symplectic connections of
three types from the list. This is done by pulling back an ambient linear
connection from the total space of a natural scale bundle over the homogeneous
model of the corresponding contact parabolic structure.


title:
The heat kernel and frequency localized functions on the Heisenberg
  group

abstract:
  The goal of this paper is to study the action of the heat operator on the
Heisenberg group H^d, and in particular to characterize Besov spaces of
negative index on H^d in terms of the heat kernel. That characterization can be
extended to positive indexes using Bernstein inequalities. As a corollary we
obtain a proof of refined Sobolev inequalities in W^{s,p} spaces.


title: Entanglement and Non-locality in a Micro-Macroscopic system

abstract:
  In recent years two fundamental aspects of quantum mechanics have attracted a
great deal of interest, namely the investigation on the irreducible nonlocal
properties of Nature implied by quantum entanglement and the physical
realization of the 'Schroedinger Cat'. In the present work a macro - state
consisting of about 3.5 x 10^4 photons in a quantum superposition and entangled
with a far apart single - photon state is generated. Then, the non-separability
of the overall micro-macro system is demonstrated and the corresponding Bell's
inequalities are found to be violated. Precisely, an entangled photon pair is
created by a nonlinear optical process, then one photon of the pair is injected
into an optical parametric amplifier operating for any input polarization
state, i.e. into a phase-covariant cloning machine. Such transformation
establishes a connection between the single photon and the multi particle
fields. We then demonstrate the non-separability of the bipartite system by
adopting a local filtering technique within a positive operator valued
measurement.


title:
Quantum ratchet effects induced by terahertz radiation in GaN-based
  two-dimensional structures

abstract:
  Photogalvanic effects are observed and investigated in wurtzite
(0001)-oriented GaN/AlGaN low-dimensional structures excited by terahertz
radiation. The structures are shown to represent linear quantum ratchets.
Experimental and theoretical analysis exhibits that the observed photocurrents
are related to the lack of an inversion center in the GaN-based
heterojunctions.


title: Optimal transport and Perelman's reduced volume

abstract:
  We show that a certain entropy-like function is convex, under an optimal
transport problem that is adapted to Ricci flow. We use this to reprove the
monotonicity of Perelman's reduced volume.


title:
Results from an extensive simultaneous broadband campaign on the
  underluminous active nucleus M81*: further evidence for mass-scaling
  accretion in black holes

abstract:
  We present the results of a broadband simultaneous campaign on the nearby
low-luminosity active galactic nucleus M81*. From February through August 2005,
we observed M81* five times using the Chandra X-ray Observatory with the
High-Energy Transmission Grating Spectrometer, complemented by ground-based
observations with the Giant Meterwave Radio Telescope, the Very Large Array and
Very Large Baseline Array, the Plateau de Bure Interferometer at IRAM, the
Submillimeter Array and Lick Observatory. We discuss how the resulting spectra
vary over short and longer timescales compared to previous results, especially
in the X-rays where this is the first ever longer-term campaign at spatial
resolution high enough to nearly isolate the nucleus (17pc). We compare the
spectrum to our Galactic center weakly active nucleus Sgr A*, which has
undergone similar campaigns, as well as to weakly accreting X-ray binaries in
the context of outflow-dominated models. In agreement with recent results
suggesting that the physics of weakly-accreting black holes scales predictably
with mass, we find that the exact same model which successfully describes hard
state X-ray binaries applies to M81*, with very similar physical parameters.


title:
Direct numerical simulations of the kappa-mechanism II. The nonlinear
  saturation and Hertzsprung's progression

abstract:
  Context: We study the kappa-mechanism that excites radial oscillations in
Cepheid variables.
  Aims: We address the mode couplings that manages the nonlinear saturation of
the instability in direct numerical simulations (DNS).
  Methods: We project the DNS fields onto an acoustic subspace built from the
regular and adjoint eigenvectors that are solutions to the linear-oscillations
equations.
  Results: We determine the time evolution of both the amplitude and kinetic
energy of each mode that propagates in the DNS. More than 98% of the total
kinetic energy is contained in two modes that correspond to the
linearly-unstable fundamental mode and the linearly-stable second overtone.
Because the eigenperiods ratio is close to 1/2, we discover that the nonlinear
saturation is due to a 2:1 resonance between these two modes. An interesting
application of this result concerns the reproduction of Hertzsprung's
progression observed in Bump Cepheids.


title:
Large deviation function for entropy production in driven
  one-dimensional systems

abstract:
  The large deviation function for entropy production is calculated for a
particle driven along a periodic potential by solving a time-independent
eigenvalue problem. In an intermediate force regime, the large deviation
function shows pronounced deviations from a Gaussian behavior with a
characteristic ``kink'' at zero entropy production. Such a feature can also be
extracted from the analytical solution of the asymmetric random walk to which
the driven particle can be mapped in a certain parameter range.


title:
The Araucaria Project. The Distance to the Sculptor dwarf spheroidal
  galaxy from infrared photometry of RR Lyrae stars

abstract:
  We have obtained single-phase near-infrared magnitudes in the J and K bands
for a sample of 78 RR Lyrae stars in the Sculptor dSph galaxy. Applying
different theoretical and empirical calibrations of the
period-luminosity-metallicity relation for RR Lyrae stars in the infrared, we
find consistent results and obtain a true, reddening-corrected distance modulus
of 19.67 $\pm$ 0.02 (statistical) $\pm$ 0.12 (systematic) mag for Sculptor from
our data. This distance value is consistent with the value of 19.68 $\pm$ 0.08
mag which we obtain from earlier V-band data of RR Lyrae stars in Sculptor, and
the V magnitude-metallicity calibration of Sandage (1993). It is also in a very
good agreement with the results obtain by Rizzi (2002) based on tip of the red
giant branch (TRGB, 19.64 $\pm$ 0.08 mag) and horizontal branch (HB, 19.66
$\pm$ 0.15 mag).


title: Limit sets and a problem in dynamical systems

abstract:
  We approximate a chain recurrent dynamical system by periodic dynamical
systems. This is similar to the well known Bohr theorem on approximation of
almost periodic functions by periodic functions.


title: Superconductor-ferromagnet junction phase qubit

abstract:
  We propose a scheme for a phase qubit in an SIFIS junction, consisting of
bulk superconductors (S), a proximity-induced ferromagnet (F), and insulating
barriers (I). The qubit state is constituted by 0 and $\pi$ phase states of the
junction, in which the charging energy of the junction leads to the
superposition of the two states. The qubit is operated by the gate voltage
applied to the ferromagnet, and insensitive to the decoherence sources existing
in other superconducting qubits. We discuss a scalable scheme for qubit
measurement and tunable two-qubit coupling.


title: NLO QCD corrections to tri-boson production

abstract:
  We present a calculation of the NLO QCD corrections for the production of
three vector bosons at the LHC, namely Z Z Z, W+ W- Z, W+ Z Z, and W+ W- W+
production. The virtual corrections are computed using the recently proposed
method of reduction at the integrand level (OPP reduction). Concerning the
contributions coming from real emission we used the dipole subtraction to treat
the soft and collinear divergences. We find that the QCD corrections for these
electroweak processes are in the range between 70 and 100 percent. As such they
have to be considered in experimental studies of triple vector boson production
at the LHC.


title:
Detection of a hot intergalactic medium in the spiral-only compact group
  SCG0018-4854

abstract:
  AIMS: Compact groups of galaxies are excellent laboratories for studying
galaxy interactions and their effects on the evolution of galaxies. In
particular, dynamically young systems, with a large fraction of interacting,
late type galaxies, have so far escaped proper studies in the X-ray band and
their hot intergalactic medium properties are virtually unknown. Motivated by
this lack of knowledge, we present a detailed investigation here of the X-ray
properties of such a dynamically young system. METHODS: We obtained XMM-Newton
observations of one spiral-only system in the new southern compact group
catalogue: SCG0018-4854. We present here the results of the data analysis and
discuss them in comparison with the few other similar systems also studied in
the X-ray band. RESULTS: The 4 members of SCG0018-4854 emit at a level
comparable to what is expected based on their optical properties. We detect the
low level diffuse emission between galaxies, which is most likely due to the
presence of the intergalactic medium. Compared to other spiral--only groups,
this could be the coolest system detected so far, although the measurements
have large uncertainties. These results indicate that high quality deep X-ray
observations are needed to allow a proper study of the properties of the
potential well of dynamically young systems, before more general conclusions
can be drawn on their average characteristics.


title: Permeability Analysis based on information granulation theory

abstract:
  This paper describes application of information granulation theory, on the
analysis of "lugeon data". In this manner, using a combining of Self Organizing
Map (SOM) and Neuro-Fuzzy Inference System (NFIS), crisp and fuzzy granules are
obtained. Balancing of crisp granules and sub- fuzzy granules, within non fuzzy
information (initial granulation), is rendered in open-close iteration. Using
two criteria, "simplicity of rules "and "suitable adaptive threshold error
level", stability of algorithm is guaranteed. In other part of paper, rough set
theory (RST), to approximate analysis, has been employed >.Validation of the
proposed methods, on the large data set of in-situ permeability in rock masses,
in the Shivashan dam, Iran, has been highlighted. By the implementation of the
proposed algorithm on the lugeon data set, was proved the suggested method,
relating the approximate analysis on the permeability, could be applied.


title: Graphical Estimation of Permeability Using RST&NFIS

abstract:
  This paper pursues some applications of Rough Set Theory (RST) and
neural-fuzzy model to analysis of "lugeon data". In the manner, using Self
Organizing Map (SOM) as a pre-processing the data are scaled and then the
dominant rules by RST, are elicited. Based on these rules variations of
permeability in the different levels of Shivashan dam, Iran has been
highlighted. Then, via using a combining of SOM and an adaptive Neuro-Fuzzy
Inference System (NFIS) another analysis on the data was carried out. Finally,
a brief comparison between the obtained results of RST and SOM-NFIS (briefly
SONFIS) has been rendered.


title: Temporally multiplexed superposition states of continuous variables

abstract:
  We study non-Gaussian states generated by two-photon subtraction from a cw
squeezed light source. In a cw scheme one can subtract two photons from the
source with a designated time separation and can genarate temporally
multiplexed superposition states of continuous variables. We numerically study
the properties of these states in the light of bosonic interference in the time
domain. In an appropriate temporal mode amplified kittens are produced in a
region where the time separation is comparable with the correlation time of
squeezed packets.


title: Pair-Breaking in Rotating Fermi Gases

abstract:
  We study the pair-breaking effect of rotation on a cold Fermi gas in the
BCS-BEC crossover region. In the framework of BCS theory, which is supposed to
be qualitatively correct at zero temperature, we find that in a trap rotating
around a symmetry axis, three regions have to be distinguished: (A) a region
near the rotational axis where the superfluid stays at rest and where no pairs
are broken, (B) a region where the pairs are progressively broken with
increasing distance from the rotational axis, resulting in an increasing
rotational current, and (C) a normal-fluid region where all pairs are broken
and which rotates like a rigid body. Due to region B, density and current do
not exhibit any discontinuities.


title: ARPES, Neutrons, and the High-$T_c$ Mechanism

abstract:
  Extensive ARPES and low-energy inelastic neutron scattering studies of
cuprate superconductors can be successfully described using a weak-coupling
theory in which quasiparticles on a square lattice interact via scalar and
spin-dependent effective interactions. In this article we point out that in
Bi$_2$Sr$_2$Ca$_{1-x}$Y$_x$Cu$_2$O$_8$ (Bi2212) both probes are consistent with
dominant near-neighbour Heisenberg interactions. We discuss the implications of
this finding for the mechanism of high-$T_c$ superconductivity.


title: A Comment on Bonnor-Steadman Closed Timelike Curves

abstract:
  The existence and stability closed timelike curves in a Bonnor-Ward spacetime
without torsion line singularities is shown by exhibiting particular examples.


title: Relative Property (T) Actions and Trivial Outer Automorphism Groups

abstract:
  We show that every non-amenable free product of groups admits free ergodic
probability measure preserving actions which have relative property (T) in the
sense of S.-Popa \cite[Def. 4.1]{Pop06}. There are uncountably many such
actions up to orbit equivalence and von Neumann equivalence, and they may be
chosen to be conjugate to any prescribed action when restricted to the free
factors. We exhibit also, for every non-amenable free product of groups, free
ergodic probability measure preserving actions whose associated equivalence
relation has trivial outer automorphisms group. This gives in particular the
first examples of such actions for the free group on $2$ generators.


title: Four-pion production in tau decays and e+e- annihilation: an update

abstract:
  An improved description of four-pion production in electron-positron
annihilation and in tau lepton decays is presented. The model amplitude is
fitted to recent data from BaBar which cover a wide energy range and which were
obtained exploiting the radiative return. Predicting tau decay distributions
from e+e- data and comparing these predictions with ALEPH and CLEO results, the
validity of isospin symmetry is confirmed within the present experimental
errors. A good description of two- and three-pion sub-distributions is
obtained. Special emphasis is put on the predictions for omega pi (->
pi+pi-pi0) in e+e- annihilation and in tau decay. The model amplitude is
implemented in the Monte Carlo generator PHOKHARA.


title: Untangling supernova-neutrino oscillations with beta-beam data

abstract:
  Recently, we suggested that low-energy beta-beam neutrinos can be very useful
for the study of supernova neutrino interactions. In this paper, we examine the
use of a such experiment for the analysis of a supernova neutrino signal. Since
supernova neutrinos are oscillating, it is very likely that the terrestrial
spectrum of supernova neutrinos of a given flavor will not be the same as the
energy distribution with which these neutrinos were first emitted. We
demonstrate the efficacy of the proposed method for untangling multiple
neutrino spectra. This is an essential feature of any model aiming at gaining
information about the supernova mechanism, probing proto-neutron star physics,
and understanding supernova nucleosynthesis, such as the neutrino process and
the r-process. We also consider the efficacy of different experimental
approaches including measurements at multiple beam energies and detector
configurations.


title:
First-principles study of TMNan (TM= Cr, Mn, Fe, Co, Ni; n = 4-7)
  clusters

abstract:
  Geometry, electronic structure, and magnetic properties of TMNan (TM=Cr-Ni; n
= 4-7) clusters are studied within a gradient corrected density functional
theory (DFT) framework. Two complementary approaches, the first adapted to
all-electron calculations on free clusters, and the second been on plane wave
projector augmented wave (PAW) method within a supercell approach are used.
Except for NiNan, the clusters in this series are found to retain the atomic
moments of the TM atoms, and the magnetic moment presented an odd-even
oscillation with respect to the number of Na atoms. The origin of these
odd-even oscillations is explained from the nature of chemical bonding in these
clusters. Differences and similarities between the chemical bonding and the
magnetic properties of these clusters and the TMNan (TM = Sc, V and Ti; n =
4-6) clusters on one hand, and TM-doped Au and Ag clusters on the other hand,
are discussed.


title: Exhaustive enumeration unveils clustering and freezing in random 3-SAT

abstract:
  We study geometrical properties of the complete set of solutions of the
random 3-satisfiability problem. We show that even for moderate system sizes
the number of clusters corresponds surprisingly well with the theoretic
asymptotic prediction. We locate the freezing transition in the space of
solutions which has been conjectured to be relevant in explaining the onset of
computational hardness in random constraint satisfaction problems.

categories: cond-mat.stat-mech cond-mat.dis-nn cs.CC cs.DS


title:
Congruences between modular forms given by the divided beta family in
  homotopy theory

abstract:
  We characterize the 2-line of the p-local Adams-Novikov spectral sequence in
terms of modular forms satisfying a certain explicit congruence condition for
primes p > 3. We give a similar characterization of the 1-line, reinterpreting
some earlier work of A. Baker and G. Laures. These results are then used to
deduce that, for l a prime which generates the p-adic units, the spectrum Q(l)
detects the alpha and beta families in the stable stems.


title:
Second order quantum phase transition of a homogeneous Bose gas with
  attractive interactions

abstract:
  We consider a homogeneous Bose gas of particles with an attractive
interaction. Mean field theory predicts for this system a spontaneous symmetry
breaking at a certain value of the interaction strength. We show that at this
point a second-order quantum phase transition occurs. We investigate the system
in the vicinity of the critical point using Bogoliubov theory and a continuous
description, that allows us to analyze {\it quantum fluctuations} in the system
even when the Bogoliubov approach breaks down.


title:
Quantum Computation in a radio single mode cavity: the dissipative
  Jaynes and Cummings Model

abstract:
  In this paper we have considered the interaction of a Jaynes and Cummings
system with the electromagnetic field in its vacuum state and, solving the
dynamical problem, we have analyzed the amount of entanglement induced in the
bipartite system (atom + cavity mode) by the common electromagnetic reservoir.
This has allowed us to quantitatively characterize the regime under which
field-induced cooperative effects are not vanished by dissipation. Once the
Decoherence Free Regime is reached, transient entanglement tends to become
stationary and, therefore, usable for quantum gate implementation.


title: Merging Object and Process Diagrams for Business Information Modeling

abstract:
  While developing an information system for the University of Bern, we were
faced with two major issues: managing software changes and adapting Business
Information Models. Software techniques well-suited to software development
teams exist, yet the models obtained are often too complex for the business
user. We will first highlight the conceptual problems encountered while
designing the Business Information Model. We will then propose merging class
diagrams and business process modeling to achieve a necessary transparency. We
will finally present a modeling tool we developed which, using pilot case
studies, helps to show some of the advantages of a dual model approach.


title: Anomalous quantum reflection as a quasi-dynamical damping effect

abstract:
  We develop a quasi-analytical theory for the quantum reflection amplitude of
Bose-Einstein condensates. We derive and calculate the decay-width of a
Bose-Einstein condensate. A general relation between the time-dependent
decay-law of the system and its quantum reflection amplitude allows us to
explain the quantum reflection anomaly of Bose-Einstein condensates present in
BEC-surface systems as a direct consequence of the repulsive particle
interaction.


title:
Analytical asymptotics of \beta-function in \phi^4 theory (end of the
  "zero charge" story)

abstract:
  Reconstruction of the \beta-function for \phi^4 theory, attempted previously
by summation of perturbation series, leads to asymptotics \beta(g)=\beta_\infty
g^\alpha at g\to\infty, where \alpha\approx 1 for space dimensions d=2,3,4. The
natural hypothesis arises, that asymptotic behavior is \beta(g) \sim g for all
d. Consideration of the zero-dimensional case confirms the hypothesis and
reveals the origin of this result: it is related with a zero of a certain
functional integral. Consideration can be generalized to the arbitrary space
dimensionality, confirming the linear asymptotics of \beta(g) for all d.
Asymptotical behavior for other renormalization group functions (anomalous
dimensions) is found to be constant. Relation to the "zero charge" problem is
discussed.


title: Evolutionary Computation in High Energy Physics

abstract:
  Evolutionary Computation is a branch of computer science with which,
traditionally, High Energy Physics has fewer connections. Its methods were
investigated in this field, mainly for data analysis tasks. These methods and
studies are, however, less known in the high energy physics community and this
motivated us to prepare this lecture. The lecture presents a general overview
of the main types of algorithms based on Evolutionary Computation, as well as a
review of their applications in High Energy Physics.


title: IR Contamination in Galactic X-Ray Novae

abstract:
  The most widely used means of measuring the mass of black holes in Galactic
binaries - specifically the X-ray novae - involves both radial velocity
measurements of the secondary star, and photometric measurements of its
ellipsoidal variability. The latter is important in constraining the
inclination and mass ratio, and requires as direct a measure of the flux of the
secondary as possible. Up to now, such measurements have been preferentially
carried out in the NIR (1 -- 2.5$\mu m$), where the flux from the cooler
secondary is expected to dominate over that from the accretion disc. However,
here we present evidence of a significant non-stellar contribution to the NIR
flux in many of those quiescent X-ray novae that are thought to contain a black
hole primary. We discuss origins of this excess and the effect of such
contamination on Galactic black hole mass measurements.


title:
Efficient positronium laser excitation for antihydrogen production in a
  magnetic field

abstract:
  Antihydrogen production by charge exchange reaction between Positronium (Ps)
atoms and antiprotons requires an efficient excitation of Ps atoms up to high-n
levels (Rydberg levels). In this study it is assumed that a Ps cloud is
produced within a relatively strong uniform magnetic field (1 Tesla) and with a
relatively high temperature (100 K). Consequently, the structure of energy
levels are deeply modified by Zeeman and motional Stark effects. A two-step
laser light excitation, the first one from ground to n=3 and the second from
this level to a Rydberg level, is proposed and the physics of the problem is
discussed. We derive a simple formula giving the absorption probability with
substantially incoherent laser pulses. A 30% population deposition in high-$n$
states can be reached with feasible lasers suitably tailored in power and
spectral bandwidth.