title:
Direct observation of Anderson localization of matter-waves in a
  controlled disorder

abstract:
  We report the observation of exponential localization of a Bose-Einstein
condensate (BEC) released into a one-dimensional waveguide in the presence of a
controlled disorder created by laser speckle . We operate in a regime allowing
AL: i) weak disorder such that localization results from many quantum
reflections of small amplitude; ii) atomic density small enough that
interactions are negligible. We image directly the atomic density profiles vs
time, and find that weak disorder can lead to the stopping of the expansion and
to the formation of a stationary exponentially localized wave function, a
direct signature of AL. Fitting the exponential wings, we extract the
localization length, and compare it to theoretical calculations. Moreover we
show that, in our one-dimensional speckle potentials whose noise spectrum has a
high spatial frequency cut-off, exponential localization occurs only when the
de Broglie wavelengths of the atoms in the expanding BEC are larger than an
effective mobility edge corresponding to that cut-off. In the opposite case, we
find that the density profiles decay algebraically, as predicted in [Phys. Rev.
Lett. 98, 210401 (2007)]. The method presented here can be extended to
localization of atomic quantum gases in higher dimensions, and with controlled
interactions.


title:
Incoherent Quasielastic Neutron Scattering Study of Molecular dynamics
  of 4-n-cyano-4'-octylbiphenyl

abstract:
  We report incoherent quasielastic neutron scattering experiments on the
thermotropic liquid crystal 4-n-cyano-4'-octylbiphenyl. The combination of
time-of-flight and backscattering data allows analyzing the intermediate
scattering function over about three decades of relaxation times. Translational
diffusion and uniaxial molecular rotations are clearly identified as the major
relaxation processes in respectively the nanosecond and picosecond time scales.
The comparison with literature data obtained by other techniques is discussed.


title:
From Quantum Affine Symmetry to Boundary Askey-Wilson Algebra and
  Reflection Equation

abstract:
  Within the quantum affine algebra representation theory we construct linear
covariant operators that generate the Askey-Wilson algebra. It has the property
of a coideal subalgebra, which can be interpreted as the boundary symmetry
algebra of a model with quantum affine symmetry in the bulk. The generators of
the Askey-Wilson algebra are implemented to construct an operator valued $K$-
matrix, a solution of a spectral dependent reflection equation. We consider the
open driven diffusive system where the Askey-Wilson algebra arises as a
boundary symmetry and can be used for an exact solution of the model in the
stationary state. We discuss the possibility of a solution beyond the
stationary state on the basis of the proposed relation of the Askey-Wilson
algebra to the reflection equation.


title:
A Method to Measure the Mass of Damped Ly-alpha Absorber Host Galaxies
  Using Fluctuations in 21cm Emission

abstract:
  Observations of damped Ly-alpha absorbers (DLA) indicate that the fraction of
hydrogen in its neutral form (HI) is significant by mass at all redshifts. This
gas represents the reservoir of material that is available for star formation
at late times. As a result, observational identification of the systems in
which this neutral hydrogen resides is an important missing ingredient in
models of galaxy formation. Precise identification of DLA host mass via
traditional clustering studies is not practical owing to the small numbers of
known systems being spread across sparsely distributed sight lines. However
following the completion of reionization, 21cm surface brightness fluctuations
will be dominated by neutral hydrogen in DLAs. Observations of these
fluctuations will measure the combined clustering signal from all DLAs within a
large volume. We show that measurement of the spherically averaged
power-spectrum of 21cm intensity fluctuations due to DLAs could be used to
measure the galaxy bias for DLA host galaxies when combined with an independent
measurement of the cosmological HI mass density from quasar absorption studies.
Utilising this technique, the low frequency arrays now under construction could
measure the characteristic DLA host mass with a statistical precision as low as
0.3 dex at z~4. In addition, high signal-to-noise observations of the
peculiar-motion induced anisotropy of the power-spectrum would facilitate
measurement of both the DLA host mass and the cosmic HI density directly from
21cm fluctuations. By exploiting this anisotropy, a second generation of low
frequency arrays with an order of magnitude increase in collecting area could
measure the values of cosmic HI density and DLA host mass, with uncertainties
of a few percent and a few tens of percent respectively.


title:
Si and Fe depletion in Galactic star-forming regions observed by the
  Spitzer Space Telescope

abstract:
  We report the results of the mid-infrared spectroscopy of 14 Galactic
star-forming regions with the high-resolution modules of the Infrared
Spectrograph (IRS) on board the Spitzer Space Telescope. We detected [SiII]
35um, [FeII] 26um, and [FeIII] 23um as well as [SIII] 33um and H2 S(0) 28um
emission lines. Using the intensity of [NII] 122um or 205um and [OI] 146um or
63um reported by previous observations in four regions, we derived the ionic
abundance Si+/N+ and Fe+/N+ in the ionized gas and Si+/O0 and Fe+/O0 in the
photodissociation gas. For all the targets, we derived the ionic abundance of
Si+/S2+ and Fe2+/S2+ for the ionized gas. Based on photodissociation and HII
region models the gas-phase Si and Fe abundance are suggested to be 3-100% and
<8% of the solar abundance, respectively, for the ionized gas and 16-100% and
2-22% of the solar abundance, respectively, for the photodissociation region
gas. Since the [FeII] 26um and [FeIII] 23um emissions are weak, the high
sensitivity of the IRS enables to derive the gas-phase Fe abundance widely in
star-forming regions. The derived gas-phase Si abundance is much larger than
that in cool interstellar clouds and that of Fe. The present study indicates
that 3-100% of Si atoms and <22% of Fe atoms are included in dust grains which
are destroyed easily in HII regions, probably by the UV radiation. We discuss
possible mechanisms to account for the observed trend; mantles which are
photodesorbed by UV photons, organometallic complexes, or small grains.


title: On the spectrum of asymptotic slopes

abstract:
  The slopes of maximal subbundles of rank $s$ divided by the degree of the map
under various pull backs form a bounded collection of numbers called the
$s$-spectrum of the bundle. We study the supremum of the $s$-spectrum and
determine it in terms of the Harder Narasimhan filtration of the bundle.


title: Counting conics in complete intersections

abstract:
  We count the number of conics through two general points in complete
intersections when this number is finite and give an application in terms of
quasi-lines.


title: Existence and boundedness of solutions for a singular phase field system

abstract:
  This paper is devoted to the mathematical analysis of a thermomechanical
model describing phase transitions in terms of the entropy and order structure
balance law. We consider a macroscopic description of the phenomenon and make a
presentation of the model. Then, the initial and boundary value problem is
addressed for the related PDE system, which contains some nonlinear and
singular terms with respect to the temperature variable. Existence of the
solution is shown along with the boundedness of both phase variable $\chi$ and
absolute temperature $\theta$. Finally, uniqueness is proved in the framework
of a source term depending Lipschitz continuously on $\theta$.


title: Transition-Region Velocity Oscillations Observed by EUNIS-06

abstract:
  Spectroscopic measurements of AR NOAA 10871, obtained with the Extreme
Ultraviolet Normal Incidence Spectrograph (EUNIS) sounding rocket instrument on
2006 April 12, reveal velocity oscillations in the He II 303.8 Angstrom
emission line formed at T ~ 50000K. The oscillations appear to arise in a
bright active-region loop arcade about 25" wide which crosses the EUNIS slit.
The period of these transition region oscillations is 26 +/- 4 s, coupled with
a velocity amplitude of +/- 10 km/s, detected over 4 complete cycles. Similar
oscillations are observed in lines formed at temperatures up to T ~ 400000K,
but we find no evidence for the coupling of these velocity oscillations with
corresponding phenomena in the corona. We interpret the detected oscillations
as originating from an almost purely adiabatic plasma, and infer that they are
generated by the resonant transmission of MHD waves through the lower
active-region atmospheres. Through use of seismological techniques, we
establish that the observed velocity oscillations display wave properties most
characteristic of fast-body global sausage modes.


title:
Self-organized Natural Roads for Predicting Traffic Flow: A Sensitivity
  Study

abstract:
  In this paper, we extended road-based topological analysis to both nationwide
and urban road networks, and concentrated on a sensitivity study with respect
to the formation of self-organized natural roads based on the Gestalt principle
of good continuity. Both Annual Average Daily Traffic (AADT) and Global
Positioning System (GPS) data were used to correlate with a series of ranking
metrics including five centrality-based metrics and two PageRank metrics. It
was found that there exists a tipping point from segment-based to road-based
network topology in terms of correlation between ranking metrics and their
traffic. To our big surprise, (1) this correlation is significantly improved if
a selfish rather than utopian strategy is adopted in forming the self-organized
natural roads, and (2) point-based metrics assigned by summation into
individual roads tend to have a much better correlation with traffic flow than
line-based metrics. These counter-intuitive surprising findings constitute
emergent properties of self-organized natural roads, which are intelligent
enough for predicting traffic flow, thus shedding substantial insights into the
understanding of road networks and their traffic from the perspective of
complex networks.
  Keywords: topological analysis, traffic flow, phase transition, small world,
scale free, tipping point


title:
Is the CMB shift parameter connected with the growth of cosmological
  perturbations?

abstract:
  We verify numerically that in the context of general relativity (GR), flat
models which have the same $\Omega_{\rm m}$ and CMB shift parameter $R$ but
different $H(a)$ and $w(a)$ also have very similar (within less than 8%) growth
of perturbations even though the dark energy density evolution is quite
different. This provides a direct connection between geometrical and dynamical
tests of dark energy and may be used as a cosmological test of general
relativity.


title:
Hydrostatic gas distributions: global estimates of temperature and
  abundance

abstract:
  Estimating the temperature and metal abundance of the intracluster and the
intragroup media is crucial to determine their global metal content and to
determine fundamental cosmological parameters. When a spatially resolved
temperature or abundance profile cannot be recovered from observations (e.g.,
for distant objects), or deprojection is difficult (e.g., due to a significant
non-spherical shape), only global average temperature and abundance are
derived. After introducing a general technique to build hydrostatic gaseous
distributions of prescribed density profile in potential wells of any shape, we
compute the global mass weighted and emission weighted temperature and
abundance for a large set of barotropic equilibria and an observationally
motivated abundance gradient. We also compute the spectroscopic-like
temperature that is recovered from a single temperature fit of observed
spectra. The derived emission weighted abundance and temperatures are higher by
50% to 100% than the corresponding mass weighted quantities, with overestimates
that increase with the gas mean temperature. Spectroscopic temperatures are
intermediate between mass and luminosity weighted temperatures. Dark matter
flattening does not lead to significant differences in the values of the
average temperatures or abundances with respect to the corresponding spherical
case (except for extreme cases).


title: Exact density-potential pairs from complex shifted axisymmetric systems

abstract:
  In a previous paper the complex-shift method has been applied to
self-gravitating spherical systems, producing new analytical axisymmetric
density-potential pairs. We now extend the treatement to the Miyamoto-Nagai
disc and to the Binney logarithmic halo, and we study the resulting
axisymmetric and triaxial analytical density-potential pairs; we also show how
to obtain the surface density of shifted systems from the complex-shift of the
surface density of the parent model. In particular, the systems obtained from
Miyamoto-Nagai discs can be used to describe disc galaxies with a peanut-shaped
bulge or with a central triaxial bar, depending on the direction of the shift
vector. By using a constructive method that can be applied to generic
axisymmetric systems, we finally show that the Miyamoto-Nagai and the Satoh
discs, and the Binney logarithmic halo, cannot be obtained from the
complex-shift of any spherical parent distribution. As a by-product of this
study we also found two new generating functions in closed form for even and
odd Legendre polynomials, respectively.


title:
Exact conditions for no ruin for the generalised Ornstein-Uhlenbeck
  process

abstract:
  For a bivariate L\'evy process $(\xi_t,\eta_t)_{t\geq 0}$ the generalised
Ornstein-Uhlenbeck (GOU) process is defined as
  V_t:=e^{\xi_t}(z+\int_0^t e^{-\xi_{s-}}d\eta_s), t\ge0,
  where $z\in\mathbb{R}.$ We define necessary and sufficient conditions under
which the infinite horizon ruin probability for the process is zero. These
conditions are stated in terms of the canonical characteristics of the L\'evy
process and reveal the effect of the dependence relationship between $\xi$ and
$\eta.$ We also present technical results which explain the structure of the
lower bound of the GOU.


title:
States of interacting composite fermions at Landau level fillig
  $\nu=2+3/8$

abstract:
  There is increasing experimental evidence for fractional quantum Hall effect
at filling factor $\nu=2+3/8$. Modeling it as a system of composite fermions,
we study the problem of interacting composite fermions by a number of methods.
In our variational study, we consider the Fermi sea, the Pfaffian paired state,
and bubble and stripe phases of composite fermions, and find that the Fermi sea
state is favored for a wide range of transverse thickness. However, when we
incorporate interactions between composite fermions through composite-fermion
diagonalization on systems with up to 25 composite fermions, we find that a gap
opens at the Fermi level, suggesting that inter-composite fermion interaction
can induce fractional quantum Hall effect at $\nu=2+3/8$. The resulting state
is seen to be distinct from the Pfaffian wave function.


title:
Electronic properties and phase transitions in low-dimensional
  semiconductors. Part 1. Crystal and electronic structure and transport
  properties

abstract:
  This paper has been withdrawn by the author, since now all four parts of the
review are available as a single file 0804.1639


title:
Electronic properties and phase transitions in low-dimensional
  semiconductors. Part 2. Electronic structure: band structure calculations

abstract:
  This paper has been withdrawn by the author, since now all four parts of the
review are available as a single file 0804.1639. I also made some revision of
the text in order to avoid misprints and some inaccurate expressions.


title:
Electronic properties and phase transitions in low-dimensional
  semiconductors. Part 3. Properties under high pressure


title:
Electronic properties and phase transitions in low-dimensional
  semiconductors

abstract:
  We present the first review of the current state of the literature on
electronic properties and phase transitions in TlX and TlMX2 (M = Ga, In; X =
Se, S, Te) compounds. These chalcogenides belong to a family of the
low-dimensional semiconductors possessing chain or layered structure. They are
of significant interest because of their highly anisotropic properties, semi-
and photoconductivity, non-linear effects in their I-V characteristics
(including a region of negative differential resistance), switching and memory
effects, second harmonic optical generation, relaxor behavior and potential
applications for optoelectronic devices. We review the crystal structure of TlX
and TlMX2 compounds, their transport properties under ambient conditions,
experimental and theoretical studies of the electronic structure, transport
properties and semiconductor-metal phase transitions under high pressure, and
sequences of temperature-induced structural phase transitions with intermediate
incommensurate states. Electronic nature of the ferroelectric phase transitions
in the above-mentioned compounds, as well as relaxor behavior, nanodomains and
possible occurrence of quantum dots in doped and irradiated crystals is
discussed.


title:
Detailed high-energy characteristics of AXP 4U 0142+61 - Multi-year
  observations with INTEGRAL, RXTE, XMM-Newton and ASCA

abstract:
  We present detailed spectral and temporal characteristics both in the hard
X-ray (>10 keV) and soft X-ray (<10 keV) domains, obtained using data from
INTEGRAL, XMM-Newton, ASCA and RXTE. The INTEGRAL time-averaged total spectrum
shows a power-law like shape with photon index Gamma = 0.93 +/- 0.06. 4U
0142+61 is detected up to 229 keV and the flux between 20 keV and 229 keV is
(15.01 +/- 0.82) x 10^(-11) erg/cm^2/s. Using simultaneously collected data
with the spectrometer SPI of INTEGRAL the combined total spectrum yields the
first evidence for a spectral break with a peak energy of 228 +65/-41 keV.
There is no evidence for significant long-term time variability of the total
emission. Pulsed emission is measured with ISGRI up to 160 keV. The 20-160 keV
profile shows a broad double-peaked pulse with a 6.2 sigma detection
significance. The total pulsed spectrum can be described with a very hard
power-law shape with a photon index \Gamma = 0.40 +/- 0.15. We performed
phase-resolved spectroscopy over the total high-energy band (2.8-300 keV) and
identify at least three genuinely different pulse components with different
spectra. The high level of consistency between the detailed results from the
four missions is indicative for a remarkable stable geometry underlying the
emission scenario.


title:
Detailed high-energy characteristics of AXP 1RXS J170849-400910 -
  Probing the magnetosphere using INTEGRAL, RXTE and XMM-Newton

abstract:
  We present detailed spectral and temporal characteristics over the whole
X-ray band. For this purpose data have been used from INTEGRAL, RXTE and
XMM-Newton. The INTEGRAL hard X-ray (>10 keV) time-averaged total spectrum, can
be described by a power law with a photon index Gamma = 1.13 +/- 0.06 and
extends to ~175 keV. No evidence for a spectral break is found. No significant
long-term time variability has been detected above 20 keV. Pulsed emission is
measured up to 270 keV (12.3 sigma; 20-270 keV). Three different pulse
components can be recognized in the pulse profiles: 1) a hard pulse which
contributes above ~4 keV, 2) a softer pulse not contributing in the hard X-ray
domain and 3) a very soft pulse component below 2 keV. Detailed phase-resolved
spectroscopy of the pulsed emission confirms long-term stability. The spectral
shape gradually changes with phase from a soft single power law to a complex
multi-component shape and then to a hard single power law. The spectrum
switches from a very hard (Gamma = 0.99 +/- 0.05) to a very soft (Gamma = 3.58
+/- 0.34) single power-law shape within a 0.1-wide phase interval. We identify
three independent components. The three shapes are a soft power law, a hard
power law and a curved shape. The phase distributions of the normalizations of
these spectral components form three decoupled pulse profiles. The soft
component peaks around phase 0.4 while the other two components peak around
phase 0.8. The width of the curved component (~0.25 in phase) is about half the
width of the hard component.


title: Calibration of transparency risks: a note

abstract:
  The aim of this research is to give a simple framework to evaluate/quantize
the "transparency" of a firm. We assume that the process of the firm value is
only observable once in a while but is strongly correlated with the stock price
which is observable and tradable. This hybrid type structure make the
transparency "observable". The implication of the present study is that the
depth of the shock to the market caused by the precise accounting information
does reflect the degree of transparency. Furthermore, it can be quantized
resorting to the calibration method.


title: Employing feedback in adiabatic quantum dynamics

abstract:
  We study quantum adiabatic dynamics, where the slowly moving field is
influenced by system's state (feedback). The information for the feedback is
gained from non-disturbating measurements done on an ensemble of identical
non-interacting systems. The situation without feedback is governed by the
adiabatic theorem: adiabatic energy level populations stay constant, while the
adiabatic eigenvectors get a specific phase contribution (Berry phase).
However, under feedback the adiabatic theorem does not hold: the adiabatic
populations satisfy a closed equation of motion that coincides with the
replicator dynamics well-known by its applications in evolutionary game theory.
The feedback generates a new gauge-invariant adiabatic phase, which is free of
the constraints on the Berry phase (e.g., the new phase is non-zero even for
real adiabatic eigenfunctions).


title: Takano's Theory of Quantum Painleve Equations

abstract:
  Recently, a quantum version of Painleve equations from the point of view of
their symmetries was proposed by H. Nagoya. These quantum Painleve equations
can be written as Hamiltonian systems with a (noncommutative) polynomial
Hamiltonian. We give a characterization of the quantum Painleve equations by
certain holomorphic properties. Namely, we introduce canonical transformations
such that the Painleve Hamiltonian system is again transformed into a
polynomial Hamiltonian system, and we show that the Hamiltonian can be uniquely
characterized through this holomorphic property.


title: Finite Dimensional Intuitionistic Fuzzy Normed Linear Space

abstract:
  Following the definition of intuitionistic fuzzy n-norm [ 3 ], we have
introduced the definition of intuitionistic fuzzy norm (in short IFN) over a
linear space and there after a few results on intuitionistic fuzzy normed
linear space and finite dimensional intuitionistic fuzzy normed linear space.
Lastly, we have introduced the definitions of intuitionistic fuzzy continuity
and sequentially intuitionistic fuzzy continuity and proved that they are
equivalen


title: Experimental test of nonclassicality for a single particle

abstract:
  In a recent paper [R. Alicki and N. Van Ryn, J. Phys. A: Math. Theor., 41,
062001 (2008)] a test of nonclassicality for a single qubit was proposed. Here,
we discuss the class of local realistic theories to which this test applies and
present an experimental realization.


title:
Deformation of Curves with Automorphisms and representations on
  Riemann-Roch spaces

abstract:
  We study the deformation theory of nonsigular projective curves defined over
algebraic closed fields of positive characteristic. We show that under some
assumptions the local deformation problem for automorphisms of powerseries can
be reduced to a deformation problem for matrix representations. We study both
equicharacteristic and mixed deformations in the case of two dimensional
representations.


title:
Non-Kaehler Heterotic String Compactifications with non-zero fluxes and
  constant dilaton

abstract:
  We construct new explicit compact supersymmetric valid solutions with
non-zero field strength, non-flat instanton and constant dilaton to the
heterotic equations of motion in dimension six. We present balanced Hermitian
structures on compact nilmanifolds in dimension six satisfying the heterotic
supersymmetry equations with non-zero flux, non-flat instanton and constant
dilaton which obey the three-form Bianchi identity with curvature term taken
with respect to either the Levi-Civita, the (+)-connection or the Chern
connection. Among them, all our solutions with respect to the (+)-connection on
the compact nilmanifold $M_3$ satisfy the heterotic equations of motion.


title: On decomposition of tame polynomials and rational functions

abstract:
  In this paper we present algorithmic considerations and theoretical results
about the relation between the orders of certain groups associated to the
components of a polynomial and the order of the group that corresponds to the
polynomial, proving it for arbitrary tame polynomials, and considering the case
of rational functions.


title: The Terwilliger Algebra of a Distance-Regular Graph of Negative Type

abstract:
  Let $\Gamma$ denote a distance-regular graph with diameter $D \ge 3$. Assume
$\Gamma$ has classical parameters $(D,b,\alpha,\beta)$ with $b < -1$. Let $X$
denote the vertex set of $\Gamma$ and let $A \in MX$ denote the adjacency
matrix of $\Gamma$. Fix $x \in X$ and let $A^* \in MX$ denote the corresponding
dual adjacency matrix. Let $T$ denote the subalgebra of $MX$ generated by $A,
A^*$. We call $T$ the {\em Terwilliger algebra} of $\Gamma$ with respect to
$x$. We show that up to isomorphism there exist exactly two irreducible
$T$-modules with endpoint 1; their dimensions are $D$ and $2D-2$. For these
$T$-modules we display a basis consisting of eigenvectors for $A^*$, and for
each basis we give the action of $A$


title:
Diagrammatic theory for Anderson Impurity Model. Stationary property of
  the thermodynamic potential

abstract:
  A diagrammatic theory around atomic limit is proposed for normal state of
Anderson Impurity Model. The new diagram method is based on the ordinary Wick's
theorem for conduction electrons and a generalized Wick's theorem for gtrongly
correlated impurity electrons. This last theorem coincides with the definition
of Kubo cumulants. For the mean value of the evolution operator a linked
cluster theorem is proved and a Dyson's type equations for one-particle
propagators are established. The main element of these equations is the
correlation function which contains the spin, charge and pairing fluctuations
of the system. The thermodynamic potential of the system is expressed through
one-particle renormalized Green's functions and the corelation function. The
stationary property of the thermodynamic potential is established with respect
to the changes of correlation function.


title:
Introducing Ramanujan's Class Polynomials in the Generation of Prime
  Order Elliptic Curves

abstract:
  In this paper, we propose the use of Ramanujan class of polynomials for the
construction of prime order elliptic curves using the CM-method. We compare
(theoretically and experimentally) the efficiency of using this new class
against the use of the Weber, $M_{D,l}(x)$ and $M_{D,p_1,p_2}(x)$ polynomials
and show that they clearly outweigh all of them in the generation of prime
order elliptic curves.


title: Nonextensive Generalizations of the Jensen-Shannon Divergence

abstract:
  Convexity is a key concept in information theory, namely via the many
implications of Jensen's inequality, such as the non-negativity of the
Kullback-Leibler divergence (KLD). Jensen's inequality also underlies the
concept of Jensen-Shannon divergence (JSD), which is a symmetrized and smoothed
version of the KLD. This paper introduces new JSD-type divergences, by
extending its two building blocks: convexity and Shannon's entropy. In
particular, a new concept of q-convexity is introduced and shown to satisfy a
Jensen's q-inequality. Based on this Jensen's q-inequality, the Jensen-Tsallis
q-difference is built, which is a nonextensive generalization of the JSD, based
on Tsallis entropies. Finally, the Jensen-Tsallis q-difference is charaterized
in terms of convexity and extrema.


title: Dedekind Zeta motives for totally real fields

abstract:
  Let $k$ be a totally real number field. For every odd $n\geq 3$, we construct
a Dedekind zeta motive in the category $\MT(k)$ of mixed Tate motives over $k$.
By directly calculating its Hodge realisation, we prove that its period is a
rational multiple of $\pi^{n[k:\Q]}\zeta^*_k(1-n)$, where $\zeta^*_k(1-n)$
denotes the special value of the Dedekind zeta function of $k$. We deduce that
the group $\Ext^1_{\MT(k)} (\Q(0),\Q(n))$ is generated by the cohomology of a
quadric relative to hyperplanes. This proves a surjectivity result for certain
motivic complexes for $k$ that have been conjectured to calculate the groups
$\Ext^1_{\MT(k)} (\Q(0),\Q(n))$. In particular, the special value of the
Dedekind zeta function is a determinant of volumes of geodesic hyperbolic
simplices defined over $k$.


title:
Interface Excitons in Krmnen Clusters : The Role of Electron Affinity in
  the Formation of Electronic Structure

abstract:
  The formation of the electronic structure of small Kr_m clusters (m<150)
embedded inside Ne_N clusters (1200<N<7500) has been investigated with the help
of fluorescence excitation spectroscopy using synchrotron radiation.
Electronically excited states, assigned to excitons at the Ne/Kr interface, 1i
and 1'i were observed. The absorption bands, which are related to the lowest
spin-orbit split atomic Kr 3P1 and 1P1 states, initially appear and shift
towards lower energy when the krypton cluster size m increases. The
characteristic bulk 1t and 1't excitons appear in the spectra, when the cluster
radius exceeds some critical value, R_cl>Delta_1i . Kr clusters comprising up
to 70 atoms do not exhibit bulk absorption bands. We suggest that this is due
to the penetration of the interface excitons into the Kr_m cluster volume,
because of the negative electron affinity of surrounding Ne atoms. From the
energy shift of the interface absorption bands with cluster size an
unexpectedly large penetration depth of delta_1i =7.0+/-0.1 A is estimated,
which can be explained by the interplay between the electron affinities of the
guest and the host cluster.


title: On percolation in random graphs with given vertex degrees

abstract:
  We study the random graph obtained by random deletion of vertices or edges
from a random graph with given vertex degrees. A simple trick of exploding
vertices instead of deleting them, enables us to derive results from known
results for random graphs with given vertex degrees. This is used to study
existence of giant component and existence of k-core. As a variation of the
latter, we study also bootstrap percolation in random regular graphs.
  We obtain both simple new proofs of known results and new results. An
interesting feature is that for some degree sequences, there are several or
even infinitely many phase transitions for the k-core.


title: One-loop electroweak corrections to e+e- into three-jets

abstract:
  We describe the impact of the full one-loop Electro-Weak terms of
O($\alpha_s\alpha^3_{EM}$) entering the electron-positron into three-jet
cross-section. We include both factorisable and non-factorisable virtual
corrections, photon bremsstrahlung but not the real emission of $W^\pm$ and $Z$
bosons. We show preliminary results and we discuss the impact of the
Electro-Weak corrections on three-jet observables.


title:
On ring class eigenspaces of Mordell-Weil groups of elliptic curves over
  global function fields

abstract:
  If E is a non-isotrivial elliptic curve over a global function field F of odd
characteristic we show that certain Mordell-Weil groups of E have 1-dimensional
eigenspace relative to a fixed complex ring class character provided that the
projection onto this eigenspace of a suitable Drinfeld-Heegner point is
nonzero. This represents the analogue in the function field setting of a
theorem for rational elliptic curves due to Bertolini and Darmon, and at the
same time is a generalization of the main result proved by Brown in his
monograph on Heegner modules. As in the number field case, our proof employs
Kolyvagin-type arguments, and the cohomological machinery is started up by the
control on the Galois structure of the torsion of E provided by classical
results of Igusa in positive characteristic.


title:
Constraining theories of low-scale quantum gravity by non-observation of
  the bulk vector boson signal from the Sun

abstract:
  In this experiment we aim to detect Kaluza-Klein (KK) excitations of the bulk
gauge field, emitted in a bremsstrahlung process on solar plasma constituents,
by looking at a process analogous to the photoelectric effect inside the HPGe
detector. Using a generic feature of the underlying effective theory that the
unknown 4-dimensional gauge coupling is independent of the number of extra
large dimensions delta, we show that the expected number of events in the
detector is insensitive to the true scale of quantum gravity for delta=2. With
the entire data collection time of 202 days in the energy interval 1.7 - 3.8
keV, the number of events detected was as low as 1.1x10^6, compared to 2.7x10^6
from the expected high multiplicity of the solar KK excitations for delta =2.
Hence, our bound from the presumed existence of new forces associated with
additional gauge bosons actually conforms with very stringent bounds set from
various astrophysical considerations. Baring any modifications of the infrared
part of the KK spectrum, this bound would therefore rule out the possibility of
observing any signal at the LHC for delta=2. Although a dependence on the
fundamental scale referring to 4+delta-dimensional gravity turns on again for
delta=3, the experimental sensitivity of the present setup proves insufficient
to draw any constraint for delta>2.


title: The massless higher-loop two-point function

abstract:
  We introduce a new method for computing massless Feynman integrals
analytically in parametric form. An analysis of the method yields a criterion
for a primitive Feynman graph $G$ to evaluate to multiple zeta values. The
criterion depends only on the topology of $G$, and can be checked
algorithmically. As a corollary, we reprove the result, due to Bierenbaum and
Weinzierl, that the massless 2-loop 2-point function is expressible in terms of
multiple zeta values, and generalize this to the 3, 4, and 5-loop cases. We
find that the coefficients in the Taylor expansion of planar graphs in this
range evaluate to multiple zeta values, but the non-planar graphs with crossing
number 1 may evaluate to multiple sums with $6^\mathrm{th}$ roots of unity. Our
method fails for the five loop graphs with crossing number 2 obtained by
breaking open the bipartite graph $K_{3,4}$ at one edge.


title: On polynomial invariants of several qubits

abstract:
  It is a recent observation that entanglement classification for qubits is
closely related to local $SL(2,\CC)$-invariants including the invariance under
qubit permutations, which has been termed $SL^*$ invariance. In order to single
out the $SL^*$ invariants, we analyze the $SL(2,\CC)$-invariants of four resp.
five qubits and decompose them into irreducible modules for the symmetric group
$S_4$ resp. $S_5$ of qubit permutations. A classifying set of measures of
genuine multipartite entanglement is given by the ideal of the algebra of
$SL^*$-invariants vanishing on arbitrary product states. We find that low
degree homogeneous components of this ideal can be constructed in full by using
the approach introduced in [Phys. Rev. A 72, 012337 (2005)]. Our analysis
highlights an intimate connection between this latter procedure and the
standard methods to create invariants, such as the $\Omega$-process. As the
degrees of invariants increase, the alternative method proves to be
particularly efficient.


title: An inequality between multipoint Seshadri constants

abstract:
  Let X be a projective variety of dimension n and L be a nef divisor on X.
Denote by e_d(r;X,L) the d-dimensional Seshadri constant of r very general
points in X. We prove that e_d(rs;X,L) >= e_d(r;X,L)e_d(s;P^n,O_{P^n}(1)).


title: Solution of a Linearized Model of Heisenberg's Fundamental Equation I

abstract:
  A linearized version of Heisenberg's fundamental equation is quantized by
path integral method.


title:
Global Potential Energy Minima of $(H_2O)_n$ Clusters on Graphite: A
  Comparative Study of the TIP$N$P ($N=3,4,5$) Family

abstract:
  The water-graphite interaction potential proposed recently (Gonz\'alez et
al.\emph{J. Phys. Chem. C} \textbf{2007}, \emph{111}, 14862), the three TIP$N$P
($N=3,\:4,\:5$) water-water interaction models, and basin-hopping global
optimization are used to find the likely candidates for the global potential
energy minima of (H$_{2}$O)$_{n}$ clusters with $n\leq21$ on the (0001)-surface
of graphite and to perform a comparative study of these minima. We show that,
except for the smaller clusters ($n<6$), for which ab-initio results are
available, the three water-water potential models provide mostly inequivalent
conformations. While TIP3P seems to favor monolayer water structures for
$n<18$, TIP4P and TIP5P favor bilayer or volume structures for $n>6$. These $n$
values determine the threshold of dominance of the hydrophobic nature of the
water-graphite interaction at the nanoscopic scale for these potential models.


title: Poles of regular quaternionic functions

abstract:
  This paper studies the singularities of Cullen-regular functions of one
quaternionic variable. The quaternionic Laurent series prove to be
Cullen-regular. The singularities of Cullen-regular functions are thus
classified as removable, essential or poles. The quaternionic analogues of
meromorphic complex functions, called semiregular functions, turn out to be
quotients of Cullen-regular functions with respect to an appropriate division
operation. This allows a detailed study of the poles and their distribution.


title:
Eigen power-flow-density vortices of magnetostatic modes in thin ferrite
  disks

abstract:
  In confined magnetically ordered structures one can observe vortices of
magnetization and electromagnetic power flow vortices. There are topologically
distinct and robust states. In this paper we show that in a normally magnetized
quasi-2D ferrite disk there exist eigen power-flow-density vortices of
magnetic-dipolar-mode oscillations. Because of such circular power flows, the
oscillating modes are characterized by stable magnetostatic energy states and
discrete angular moments of the wave fields. We show that the
power-flow-density vortices of magnetostatic modes can be excited by
electromagnetic fields of a microwave cavity. There is a clear correspondence
between the power-flow-density vortex structures in a ferrite disk derived from
an analytical solution of the magnetostatic-wave spectral problem and obtained
by the numerical-simulation electromagnetic program.


title: Mechanizing the Metatheory of LF

abstract:
  LF is a dependent type theory in which many other formal systems can be
conveniently embedded. However, correct use of LF relies on nontrivial
metatheoretic developments such as proofs of correctness of decision procedures
for LF's judgments. Although detailed informal proofs of these properties have
been published, they have not been formally verified in a theorem prover. We
have formalized these properties within Isabelle/HOL using the Nominal Datatype
Package, closely following a recent article by Harper and Pfenning. In the
process, we identified and resolved a gap in one of the proofs and a small
number of minor lacunae in others. We also formally derive a version of the
type checking algorithm from which Isabelle/HOL can generate executable code.
Besides its intrinsic interest, our formalization provides a foundation for
studying the adequacy of LF encodings, the correctness of Twelf-style
metatheoretic reasoning, and the metatheory of extensions to LF.


title:
Geometry of plane sections of the infinite regular skew polyhedron
  {4,6|4}

abstract:
  The asymptotic behavior of open plane sections of triply periodic surfaces is
dictated, for an open dense set of plane directions, by an integer second
homology class of the three-torus. The dependence of this homology class on the
direction can have a rather rich structure, leading in special cases to a
fractal. In this paper we present in detail the results for the skew polyhedron
{4,6|4} and in particular we show that in this case a fractal arises and that
such a fractal can be generated through an elementary algorithm, which in turn
allows us to verify for this case a conjecture of S.P.Novikov that such
fractals have zero measure.


title:
Subclose Families, Threshold Graphs, and the Weight Hierarchy of
  Grassmann and Schubert Codes

abstract:
  We discuss the problem of determining the complete weight hierarchy of linear
error correcting codes associated to Grassmann varieties and, more generally,
to Schubert varieties in Grassmannians. The problem is partially solved in the
case of Grassmann codes, and one of the solutions uses the combinatorial notion
of a closed family. We propose a generalization of this to what is called a
subclose family. A number of properties of subclose families are proved, and
its connection with the notion of threshold graphs and graphs with maximum sum
of squares of vertex degrees is outlined.


title:
Character of the Dislocation Bands in the (A+B) regime of the
  Portevin-Le Chatelier effect in Al-2.5%Mg alloy

abstract:
  The Portevin-Le Chatelier(PLC) effect has been investigated by deforming
Al-2.5%Mg alloy in the strain rate regime where simultaneously two types (type
B and type A) of serrations appear in the stress strain curve. Our analysis
reveal that in this strain rate regime the entire PLC dynamics for a particular
strain rate experiment is governed by a single band which changes its character
during the deformation.


title:
State-of-the-art models for the phase diagram of carbon and diamond
  nucleation

abstract:
  We review recent developments in the modelling of the phase diagram and the
kinetics of crystallization of carbon. In particular, we show that a particular
class of bond-order potentials (the so-called LCBOP models) account well for
many of the known structural and thermodynamic properties of carbon at high
pressures and temperatures. We discuss the LCBOP models in some detail. In
addition, we briefly review the ``history'' of experimental and theoretical
studies of the phase behaviour of carbon. Using a well-tested version of the
LCBOP model (viz. LCBOPI+) we address some of the more controversial hypotheses
concerning the phase behaviour of carbon, in particular: the suggestion that
liquid carbon can exist in two phases separated by a first-order phase
transition and the conjecture that diamonds could have formed by homogeneous
nucleation in Uranus and Neptune.


title: Criterion for Bose-Einstein condensation in traps and self-bound systems

abstract:
  The internal one-particle density matrix is discussed for Bose-Einstein
condensates with finite number of particles in a harmonic trap. The outcome of
the digonalization of the density matrix depends on the choice of the internal
coordinates: The Pethick-Pitaevskii-type internal density matrix, whose
analytical eigenvalues and eigenfunctions are evaluated, yields a fragmented
condensate, while the Jacobi-type internal density matrix leads to an ideal
condensate. We give a criterion for the choice of the internal coordinates: In
the macroscopic limit the internal density matrix should have eigenvalues and
eigenfunctions of an ideal Bose-Einstein condensate, this being a very physical
condition for cases where the system is also an ideal Bose condensation in the
laboratory frame. One choice fulfilling this boundary condition is given by the
internal Jacobi coordinates, while the internal coordinates with respect to the
center of mass do not satisfy the condition. Based on our criterion, a general
definition of the internal one-particle density matrix is presented in a
self-bound system, consisting of interacting bosons.


title: Optimal systems of subalgebras for a nonlinear Black-Scholes equation

abstract:
  This paper has been withdraw by the auhor due to a mistake in classification
of the algebra


title:
Hyperbolic nature of uniformly rotating systems and their relation to
  gravity

abstract:
  Special relativity corresponds to hyperbolic geometry at constant velocity
while the so-called general relativity corresponds to hyperbolic geometry of
uniformly accelerated systems. Generalized expressions for angular momentum,
centrifugal and Coriolis forces are found in hyperbolic space, which reduce to
the usual expressions of Euclidean space when the absolute constant tends to
infinity. Gravity enters only in the specification of the absolute constant. A
uniformly rotating disc corresponds exactly to hyperbolic geometry with a
constant negative Gaussian curvature. The angle defect is related to Lorentz
contraction of objects normal to the radial direction. Lobachevsky's angle of
parallelism accounts for the apparent relativistic distortion of moving objects
and would provide a testing ground to measure a positive defect by replacing
large distances by high speeds that are comparable with that of light.


title: The Epeak-Eiso plane of long Gamma Ray Bursts and selection effects

abstract:
  We study the distribution of long Gamma Ray Bursts in the Ep-Eiso and in the
Ep,obs-Fluence planes through an updated sample of 76 bursts, with measured
redshift and spectral parameters, detected up to September 2007. We confirm the
existence of a strong rest frame correlation Ep ~ Eiso^0.54+-0.01. Contrary to
previous studies, no sign of evolution with redshift of the Ep-Eiso correlation
(either its slope and normalisation) is found. The 76 bursts define a strong
Ep,obs-Fluence correlation in the observer frame (Ep,obs ~ F^0.32+-0.05) with
redshifts evenly distributed along this correlation. We study possible
instrumental selection effects in the observer frame Ep,obs-Fluence plane. In
particular, we concentrate on the minimum peak flux necessary to trigger a
given GRB detector (trigger threshold) and the minimum fluence a burst must
have to determine the value of Ep,obs (spectral analysis threshold). We find
that the latter dominates in the Ep,obs-Fluence plane over the former. Our
analysis shows, however, that these instrumental selection effects do not
dominate for bursts detected before the launch of the Swift satellite, while
the spectral analysis threshold is the dominant truncation effect of the Swift
GRB sample (27 out of 76 events). This suggests that the Ep,obs-Fluence
correlation defined by the pre--Swift sample could be affected by other, still
not understood, selection effects. Besides we caution about the conclusions on
the existence of the Ep,obs-Fluence correlation based on our Swift sample
alone.


title: Parking in the city: an example of limited resource sharing

abstract:
  During the attempt to park a car in the city the drivers have to share
limited resources (the available roadside). We show that this fact leads to a
predictable distribution of the distances between the cars that depends on the
length of the street segment used for the collective parking. We demonstrate in
addition that the individual parking maneuver is guided by generic
psychophysical perceptual correlates. Both predictions are compared with the
actual parking data collected in the city of Hradec Kralove (Czech Republic).


title: Low Cohomogeneity and Polar Actions on Exceptional Compact Lie Groups

abstract:
  We study isometric Lie group actions on the compact exceptional groups E6,
E7, E8, F4 and G2 endowed with a biinvariant metric. We classify polar actions
on these groups. We determine all isometric actions of cohomogeneity less than
three on E6, E7, F4 and all isometric actions of cohomogeneity less than 20 on
E8. Moreover we determine the principal isotropy algebras for all isometric
actions on G2.


title: Magneto-elastic interaction in cubic helimagnets with B20 structure

abstract:
  The magneto-elastic interaction in cubic helimagnets with B20 symmetry is
considered. It is shown that this interaction is responsible for negative
contribution to the square of the spin-wave gap $\Delta$ which is alone has to
disrupt assumed helical structure. It is suggested that competition between
positive part of $\Delta^2_I$ which stems from magnon-magnon interaction and
its negative magneto-elastic part leads to the quantum phase transition
observed at high pressure in $Mn Si$ and $Fe Ge$. This transition has to occur
when $\Delta^2=0$. For $Mn Si$ from rough estimations at ambient pressure both
parts $\Delta_I$ and $|\Delta_{ME}|$ are comparable with the experimentally
observed gap. The magneto-elastic interaction is responsible also for $2\m k$
modulation of the lattice where $\m k$ is the helix wave-vector and
contribution to the magnetic anisotropy.
  Experimental observation by $x$-ray and neutron scattering the lattice
modulation allows determine the strength of anisotropic part of the
magneto-elastic interaction responsible for above phenomena and the lattice
helicity.


title: Computation of unirational fields

abstract:
  One of the main contributions which Volker Weispfenning made to mathematics
is related to Groebner bases theory. In this paper we present an algorithm for
computing all algebraic intermediate subfields in a separably generated
unirational field extension (which in particular includes the zero
characteristic case). One of the main tools is Groebner bases theory. Our
algorithm also requires computing primitive elements and factoring over
algebraic extensions. Moreover, the method can be extended to finitely
generated K-algebras.


title: A geometric approach to tau-functions of difference Painlev\'e equations

abstract:
  We present a unified description of birational representation of Weyl groups
associated with T-shaped Dynkin diagrams, by using a particular configuration
of points in the projective plane. A geometric formulation of tau-functions is
given in terms of defining polynomials of certain curves. If the Dynkin diagram
is of affine type ($E_6^{(1)}$, $E_7^{(1)}$ or $E_8^{(1)}$), our representation
gives rise to the difference Painlev\'e equations.


title: Structural Ordering and Antisite Defect Formation in Double Perovskites

abstract:
  We formulate an effective model for B-B' site ordering in double perovskite
materials A_2BB'O_6. Even within the simple framework of lattice-gas type
models, we are able to address several experimentally observed issues including
nonmonotonic dependence of the degree of order on annealing temperature, and
the rapid decrease of order upon overdoping with either B or B' species. We
also study ordering in the `ternary' compounds A_2BB'_{1-y}B''_yO_6 Although
our emphasis is on the double perovskites, our results are easily generalizable
to a wide variety of binary and ternary alloys.


title: Non-algebraic Hyperkaehler manifolds

abstract:
  We study the algebraic dimension a(X) of a compact hyperkaehler manfold of
dimension 2n. We show that a(X) is at most n unless X is projective. If a
compact Kaehler manifold with algebraic dimension 0 and Kodaira dimension 0 has
a minimal model, then only the values 0,n and 2n are possible. In case of
middle dimension, the algebraic reduction is holomorphic Lagrangian. If n = 2,
then - without any assumptions - the algebraic dimension only takes the values
0,2 and 4. The paper gives structure results for "generalised hyperkaehler"
manifolds and studies nef lines bundles.


title: Scalar field and QCD constraints in Nuclear Physics

abstract:
  Relativistic theories of nuclear matter are discussed in a new pespective.
First the chiral character of the scalar nuclear field is introduced in the
framework of the linear sigma model. With the assumption that the nucleon mass
originates in part from the coupling to the quark condensate it is possible to
relate the optical potential for the propagation of the scalar field to the QCD
scalar susceptibility of the nucleon, on which indications exist from the
lattice evolution of the nucleon mass with the quark mass. Constraining the
parameters of the nuclear scalar potential by the lattice expansion parameters
a successful description of the nuclear saturation properties can be reached.


title: Top quark pair production cross section at the Tevatron

abstract:
  Top quark pair production cross section has been measured at the Tevatron by
CDF and $D\O$ collaborations using different channels and methods, in order to
test standard model predictions, and to search for new physics hints affecting
the $t\bar t$ production mechanism or decay. Measurements are carried out with
an integrated luminosity of 1.0 to 2.0 fb$^{-1}$, and are found to be
consistent with standard model expectations.


title:
String order and hidden topological symmetry in the SO(2n+1) symmetric
  matrix product states

abstract:
  We have introduced a class of exactly soluble Hamiltonian with either
SO(2n+1) or SU(2) symmetry, whose ground states are the SO(2n+1) symmetric
matrix product states. The hidden topological order in these states can be
fully identified and characterized by a set of nonlocal string order
parameters. The Hamiltonian possesses a hidden $(Z_{2}\times Z_{2})^{n} $
topological symmetry. The breaking of this hidden symmetry leads to $4^{n}$
degenerate ground states with disentangled edge states in an open chain system.
Such matrix product states can be regarded as cluster states, applicable to
measurement-based quantum computation.


title: On the origin of the particles in black hole evaporation

abstract:
  We present an analytic derivation of Hawking radiation for an arbitrary
(spatial) dispersion relation $\omega(k)$ as a model for ultra-high energy
deviations from general covariance. It turns out that the Hawking temperature
is proportional to the product of the group $d\omega/dk$ and phase $\omega/k$
velocities evaluated at the frequency $\omega$ of the outgoing radiation far
away, which suggests that Hawking radiation is basically a low-energy
phenomenon. Nevertheless, a group velocity growing too fast at ultra-short
distances would generate Hawking radiation at ultra-high energies
(``ultra-violet catastrophe'') and hence should not be a realistic model for
the microscopic structure of quantum gravity.


title:
Building counterexamples to generalizations for rational functions of
  Ritt's decomposition theorem

abstract:
  The classical Ritt's Theorems state several properties of univariate
polynomial decomposition. In this paper we present new counterexamples to
Ritt's first theorem, which states the equality of length of decomposition
chains of a polynomial, in the case of rational functions. Namely, we provide
an explicit example of a rational function with coefficients in Q and two
decompositions of different length.
  Another aspect is the use of some techniques that could allow for other
counterexamples, namely, relating groups and decompositions and using the fact
that the alternating group A_4 has two subgroup chains of different lengths;
and we provide more information about the generalizations of another property
of polynomial decomposition: the stability of the base field. We also present
an algorithm for computing the fixing group of a rational function providing
the complexity over Q.


title: On Particle Mass Changes and GR: Space-time Topology Causes LHC Leakage

abstract:
  It is argued that a change in particle rest mass must involve a multiply
connected space-time topology. The LHC can probe these topological effects
through the particle leakage (~18%) that it experiences in particle mass
changing interactions. With a probability of ~82%, this 4-space leakage causes
a downward shift in the observable Higgs mass, from its physical value of 131.6
GeV to 125.2 GeV.


title:
Persistent currents in one dimension: the other side of Leggett's
  theorem

abstract:
  We discuss the sign of the persistent current of N electrons in one
dimensional rings. Using a topology argument, we establish lower bounds for the
free energy in the presence of arbitrary electron-electron interactions and
external potentials. Those bounds are the counterparts of upper bounds derived
by Leggett. Rings with odd (even) numbers of polarized electrons are always
diamagnetic (paramagnetic). We show that unpolarized electrons with N being a
multiple of four exhibit either paramagnetic behavior or a superconductor-like
current-phase relation.


title:
An efficient strategy to characterize alleles and complex haplotypes
  using DNA-markers

abstract:
  We consider the problem of detecting and estimating the strength of
association between a trait of interest and alleles or haplotypes in a small
genomic region (e.g. a gene or a gene complex), when no direct information on
that region is available but the values of neighbouring DNA-markers are at
hand. We argue that the effects of the non-observable haplotypes of the genomic
regions can and should be represented by factors representing disjoint groups
of marker-alleles. A theoretical argument based on a hypothetical phylogenetic
tree supports this general claim.
  The techniques described allow to identify and to infer the number of
detectable haplotypes in the genomic region that are associated with a trait.
The methods proposed use an exhaustive combinatorial search coupled with the
maximization of a version of the likelihood function penalized for the number
of parameters. This procedure can easily be implemented with standard
statistical methods for a moderate number of marker-alleles.


title: Statistical correlations of an anyon liquid at low temperatures

abstract:
  Using a proposed generalization of the pair distribution function for a gas
of non-interacting particles obeying fractional exclusion statistics in
arbitrary dimensionality, we derive the statistical correlations in the
asymptotic limit of vanishing or low temperature. While Friedel-like
oscillations are present in nearly all non-bosonic cases at T=0, they are
characterized by exponential damping at low temperature. We discuss the
dependence of these features on dimensionality and on the value of the
statistical parameter alpha.


title:
Evidence of local effects in anomalous refraction and focusing
  properties of dodecagonal photonic quasicrystals

abstract:
  We present the key results from a comprehensive study of the refraction and
focusing properties of a two-dimensional dodecagonal photonic ``quasicrystal''
(PQC), carried out via both full-wave numerical simulations and microwave
measurements on a slab made of alumina rods inserted in a parallel-plate
waveguide. We observe anomalous refraction and focusing in several frequency
regions, confirming some recently published results. However, our
interpretation, based on numerical and experimental evidence, differs
substantially from the one in terms of ``effective negative refractive-index''
that was originally proposed. Instead, our study highlights the critical role
played by short-range interactions associated with local order and symmetry.


title: Approximating optimization problems over convex functions

abstract:
  Many problems of theoretical and practical interest involve finding an
optimum over a family of convex functions. For instance, finding the projection
on the convex functions in $H^k(\Omega)$, and optimizing functionals arising
from some problems in economics.
  In the continuous setting and assuming smoothness, the convexity constraints
may be given locally by asking the Hessian matrix to be positive semidefinite,
but in making discrete approximations two difficulties arise: the continuous
solutions may be not smooth, and functions with positive semidefinite discrete
Hessian need not be convex in a discrete sense.
  Previous work has concentrated on non-local descriptions of convexity, making
the number of constraints to grow super-linearly with the number of nodes even
in dimension 2, and these descriptions are very difficult to extend to higher
dimensions.
  In this paper we propose a finite difference approximation using positive
semidefinite programs and discrete Hessians, and prove convergence under very
general conditions, even when the continuous solution is not smooth, working on
any dimension, and requiring a linear number of constraints in the number of
nodes.
  Using semidefinite programming codes, we show concrete examples of
approximations to problems in two and three dimensions.


title: Antiferromagnetic Ising model in small-world networks

abstract:
  The antiferromagnetic Ising model in small-world networks generated from
two-dimensional regular lattices has been studied. The disorder introduced by
long-range connections causes frustration, which gives rise to a spin-glass
phase at low temperature. Monte Carlo simulations have been carried out to
study the paramagnetic to spin-glass transition, as a function of the rewiring
probability p, which measures the disorder strength. The transition temperature
Tc goes down for increasing disorder, and saturates to a value Tc ~ 1.7 J for p
> 0.4, J being the antiferromagnetic coupling. For small p and at low
temperature, the energy increases linearly with p. In the strong-disorder limit
p=1, this model is equivalent to a short-range +-J spin glass in random
networks.


title: Sub-Riemannian geodesics on the 3-D sphere

abstract:
  The unit sphere $\mathbb S^3$ can be identified with the unitary group SU(2).
Under this identification the unit sphere can be considered as a
non-commutative Lie group. The commutation relations for the vector fields of
the corresponding Lie algebra define a 2-step sub-Riemannian manifold. We study
sub-Riemannian geodesics on this sub-Riemannian manifold making use of the
Hamiltonian formalism and solving the corresponding Hamiltonian system.


title: A classification of invasive patterns in AOP

abstract:
  Aspect-Oriented Programming (AOP) improves modularity by encapsulating
crosscutting concerns into aspects. Some mechanisms to compose aspects allow
invasiveness as a mean to integrate concerns. Invasiveness means that AOP
languages have unrestricted access to program properties. Such kind of
languages are interesting because they allow performing complex operations and
better introduce functionalities. In this report we present a classification of
invasive patterns in AOP. This classification characterizes the aspects
invasive behavior and allows developers to abstract about the aspect incidence
over the program they crosscut.


title: Lower Bounds on the Rate-Distortion Function of Individual LDGM Codes

abstract:
  We consider lossy compression of a binary symmetric source by means of a
low-density generator-matrix code. We derive two lower bounds on the rate
distortion function which are valid for any low-density generator-matrix code
with a given node degree distribution L(x) on the set of generators and for any
encoding algorithm. These bounds show that, due to the sparseness of the code,
the performance is strictly bounded away from the Shannon rate-distortion
function. In this sense, our bounds represent a natural generalization of
Gallager's bound on the maximum rate at which low-density parity-check codes
can be used for reliable transmission. Our bounds are similar in spirit to the
technique recently developed by Dimakis, Wainwright, and Ramchandran, but they
apply to individual codes.


title:
Recent $\alpha$ decay half-lives and analytic expression predictions
  including superheavy nuclei

abstract:
  New recent experimental $\alpha$ decay half-lives have been compared with the
results obtained from previously proposed formulas depending only on the mass
and charge numbers of the $\alpha$ emitter and the Q$\alpha$ value. For the
heaviest nuclei they are also compared with calculations using the
Density-Dependent M3Y (DDM3Y) effective interaction and the
Viola-Seaborg-Sobiczewski (VSS) formulas. The correct agreement allows us to
make predictions for the $\alpha$ decay half-lives of other still unknown
superheavy nuclei from these analytic formulas using the extrapolated Q$\alpha$
of G. Audi, A. H. Wapstra, and C. Thibault [Nucl. Phys. A729, 337 (2003)].


title: An Artin-Rees Theorem and applications to zero cycles

abstract:
  We prove an Artin-Rees type theorem for algebraic cycles and give an
application to zero cycles.


title:
Pair production of scalar top quarks in polarized photon-photon
  collisions at ILC

abstract:
  We study pair production of scalar top quarks in polarized photon-photon
collisions with the subsequent decay of the top squarks into b-quarks and
charginos. We simulate this process by using PYTHIA6.4 for an electron beam
energy 2E_beam =1000 GeV. A set of criteria for physical variables is proposed
which leads to a good separation of stop signal events from top quark pair
production being the main background. These criteria allow us to reconstruct
the mass of the top squark provided that the neutralino mass is known.


title: Pendellosung effect in photonic crystals

abstract:
  At the exit surface of a photonic crystal, the intensity of the diffracted
wave can be periodically modulated, showing a maximum in the "positive"
(forward diffracted) or in the "negative" (diffracted) direction, depending on
the slab thickness. This thickness dependence is a direct result of the
so-called Pendellosung phenomenon, consisting of the periodic exchange inside
the crystal of the energy between direct and diffracted beams. We report the
experimental observation of this effect in the microwave region at about 14 GHz
by irradiating 2D photonic crystal slabs of different thickness and detecting
the intensity distribution of the electromagnetic field at the exit surface and
inside the crystal itself.


title: Newtonian nonlinear hydrodynamics and magnetohydrodynamics

abstract:
  We use covariant methods to analyse the nonlinear evolution of
self-gravitating, non-relativistic media. The formalism is first applied to
imperfect fluids, aiming at the kinematic effects of viscosity, before extended
to inhomogeneous magnetised environments. The nonlinear electrodynamic formulae
are derived and successively applied to electrically resistive and to highly
conductive fluids. By nature, the covariant equations isolate the magnetic
effects on the kinematics and the dynamics of the medium, combining
mathematical transparency and physical clarity. Employing the Newtonian
analogue of the relativistic 1+3 covariant treatment, also facilitates the
direct comparison with the earlier relativistic studies and helps to identify
the differences in an unambiguous way. The purpose of this work is to set the
framework and take a first step towards the detailed analytical study of
complex nonlinear systems, like non-relativistic astrophysical plasmas and
collapsing protogalactic clouds.


title:
A public turbulence database cluster and applications to study
  Lagrangian evolution of velocity increments in turbulence

abstract:
  A public database system archiving a direct numerical simulation (DNS) data
set of isotropic, forced turbulence is described in this paper. The data set
consists of the DNS output on $1024^3$ spatial points and 1024 time-samples
spanning about one large-scale turn-over timescale. This complete $1024^4$
space-time history of turbulence is accessible to users remotely through an
interface that is based on the Web-services model. Users may write and execute
analysis programs on their host computers, while the programs make
subroutine-like calls that request desired parts of the data over the network.
The users are thus able to perform numerical experiments by accessing the 27
Terabytes of DNS data using regular platforms such as laptops. The architecture
of the database is explained, as are some of the locally defined functions,
such as differentiation and interpolation. Test calculations are performed to
illustrate the usage of the system and to verify the accuracy of the methods.
The database is then used to analyze a dynamical model for small-scale
intermittency in turbulence. Specifically, the dynamical effects of pressure
and viscous terms on the Lagrangian evolution of velocity increments are
evaluated using conditional averages calculated from the DNS data in the
database. It is shown that these effects differ considerably among themselves
and thus require different modeling strategies in Lagrangian models of velocity
increments and intermittency.


title:
Quantum Heisenberg antiferromagnets in a uniform magnetic field:
  nonanalytic magnetic field dependence of the magnon spectrum

abstract:
  We reexamine the 1/S-correction to the self-energy of the gapless magnon of a
D-dimensional quantum Heisenberg antiferromagnet in a uniform magnetic field h
using a hybrid approach between 1/S-expansion and non-linear sigma model, where
the Holstein-Primakoff bosons are expressed in terms of Hermitian field
operators representing the uniform and the staggered components of the
spin-operators [N. Hasselmann and P. Kopietz, Europhys. Lett. {\bf{74}}, 1067
(2006)]. By integrating over the field associated with the uniform
spin-fluctuations we obtain the effective action for the staggered
spin-fluctuations on the lattice, which contains fluctuations on all length
scales and does not have the cutoff ambiguities of the non-linear sigma model.
We show that in dimensions D <= 3 the magnetic field dependence of the
spin-wave velocity c(h) is non-analytic in h^2, with c(h) - c(0) proportional
to h^2 \ln | h | in D=3, and c(h) - c(0) proportional to | h | in D=2. The
frequency dependent magnon self-energy is found to exhibit an even more
singular magnetic field dependence, implying a strong momentum dependence of
the quasi-particle residue of the gapless magnon. We also discuss the problem
of spontaneous magnon decay and show that in D > 1 dimensions the damping of
magnons with momentum k is proportional to |k|^{2D -1} if spontaneous magnon
decay is kinematically allowed.


title: Optimal estimation of entanglement

abstract:
  Entanglement does not correspond to any observable and its evaluation always
corresponds to an estimation procedure where the amount of entanglement is
inferred from the measurements of one or more proper observables. Here we
address optimal estimation of entanglement in the framework of local quantum
estimation theory and derive the optimal observable in terms of the symmetric
logarithmic derivative. We evaluate the quantum Fisher information and, in
turn, the ultimate bound to precision for several families of bipartite states,
either for qubits or continuous variable systems, and for different measures of
entanglement. We found that for discrete variables, entanglement may be
efficiently estimated when it is large, whereas the estimation of weakly
entangled states is an inherently inefficient procedure. For continuous
variable Gaussian systems the effectiveness of entanglement estimation strongly
depends on the chosen entanglement measure. Our analysis makes an important
point of principle and may be relevant in the design of quantum information
protocols based on the entanglement content of quantum states.


title:
The VLA-COSMOS Survey: III. Further Catalog Analysis and the Radio
  Source Counts

abstract:
  The VLA-COSMOS Large Project has imaged the 2 sq.deg. COSMOS field with a
resolution of 1.5 arcsec and a sensitivity of about 11 microJy (1 sigma)
yielding to a catalog of about 3600 radio sources. In this paper we present a
further analysis of the VLA-COSMOS Large Project catalog of radio sources aimed
to: 1) quantify and correct for the effect of bandwidth smearing in the
catalog, 2) determine the incompleteness produced by the noise bias and the
resolution bias in the new catalog and 3) derive the radio source counts at 1.4
GHz. The effect of bandwidth smearing on the radio sources in the catalog was
quantified comparing the peak and total flux densities in the final mosaic and
in each of the individual pointings where the source was closest to the center
of the field. We find that the peak flux densities in the original VLA-COSMOS
Large Project catalog have to be divided by a factor about 0.8 or 0.9,
depending on the distance from the mosaic center. The completeness of the radio
catalog has been tested using samples of simulated radio sources with different
angular size distributions. These simulated sources have been added to the
radio image and recovered using the same techniques used to produce the radio
catalog. The fraction of missed sources as a function of the total flux density
is a direct measure of the incompleteness. Finally, we derived the radio source
counts down to 60 microJy with unprecedented good statistics. Comparison to the
findings of other surveys shows good agreement in the flux density range 0.06-1
mJy confirming the upturn at about 0.5 mJy and a possible decline of the source
counts below about 0.1 mJy.


title: Computation of unirational fields (extended abstract)

abstract:
  In this paper we present an algorithm for computing all algebraic
intermediate subfields in a separably generated unirational field extension
(which in particular includes the zero characteristic case). One of the main
tools is Groebner bases theory. Our algorithm also requires computing computing
primitive elements and factoring over algebraic extensions. Moreover, the
method can be extended to finitely generated K-algebras.


title: Attractors for a deconvolution model of turbulence

abstract:
  We consider a deconvolution model for 3D periodic flows. We show the
existence of a global attractor for the model.


title:
A global Carleman estimate in a transmission wave equation and
  application to a one-measurement inverse problem

abstract:
  We consider a transmission wave equation in two embedded domains in $R^2$,
where the speed is $a1 > 0$ in the inner domain and $a2 > 0$ in the outer
domain. We prove a global Carleman inequality for this problem under the
hypothesis that the inner domain is strictly convex and $a1 > a2$ . As a
consequence of this inequality, uniqueness and Lip- schitz stability are
obtained for the inverse problem of retrieving a stationary potential for the
wave equation with Dirichlet data and discontinuous principal coefficient from
a single time-dependent Neumann boundary measurement.


title:
Vortex-like finite-energy asymptotic profiles for isentropic
  compressible flows

abstract:
  Bidimensional incompressible viscous flows with well-localised vorticity are
well-known to develop vortex structures. The purpose of the present paper is to
recover the asymptotic profiles describing these phenomena for homogeneous
finite-energy flows as asymptotic profiles for near-equilibrium isentropic
compressible flows. This task is performed by extending the sharp description
of the asymptotic behaviour of near-equilibrium compressible flows obtained by
David Hoff and Kevin Zumbrun to the case of finite-energy vortex-like
solutions.


title:
Constructive solution of a bilinear optimal control problem for a
  Schr\"odinger equation

abstract:
  Often considered in numerical simulations related to the control of quantum
systems, the so-called monotonic schemes have not been so far much studied from
the functional analysis point of view. Yet, these procedures provide an
efficient constructive method for solving a certain class of optimal control
problems. This paper aims both at extending the results already available about
these algorithms in the finite dimensional case (i.e., the time-discretized
case) and at completing those of the continuous case. This paper starts with
some results about the regularity of a functional related to a wide class of
model in quantum chemistry. Those enable us to extend an inequality due to


title:
A quantum information-theoretic proof of the relation between Horn's
  problem and the Littlewood-Richardson coefficients

abstract:
  Horn's problem asks for the conditions on sets of integers mu, nu and lambda
that ensure the existence of Hermitian operators A, B and A+B with spectra mu,
nu and lambda, respectively. It has been shown that this problem is equivalent
to deciding whether the irreducible representation of GL(d) with highest weight
lambda is contained in the tensor product of irreducible representations with
highest weight mu and nu. In this paper we present a quantum
information-theoretic proof of the relation between the two problems that is
asymptotic in one direction. This result has previously been obtained by
Klyachko using geometric invariant theory. The work presented in this paper
does not, however, touch upon the non-asymptotic equivalence between the two
problems, a result that rests on the recently proven saturation conjecture for
GL(d).


title: Nonergodic thermodynamics of disordered ferromagnets and ferroelectrics

abstract:
  Phenomenological thermodynamic theory describing the properties of metastable
states in disordered ferromagnets and ferroelectrics with frustrative random
interactions is developed and its ability to describe various nonergodic
phenomena in real crystals is demonstrated.


title:
An inverse problem for Schr\"odinger equations with discontinuous main
  coefficient

abstract:
  This paper concerns the inverse problem of retrieving a stationary potential
for the Schr\"odinger evolution equation in a bounded domain of RN with
Dirichlet data and discontinuous principal coefficient a(x) from a single
time-dependent Neumann boundary measurement. We consider that the discontinuity
of a is located on a simple closed hyper-surface called the interface, and a is
constant in each one of the interior and exterior domains with respect to this
interface. We prove uniqueness and lipschitz stability for this inverse problem
under certain convexity hypothesis on the geometry of the interior domain and
on the sign of the jump of a at the interface. The proof is based on a global
Carleman inequality for the Schr\"odinger equation with discontinuous
coefficients, result also interesting by itself.


title:
Adaptive sequential estimation for ergodic diffusion processes in
  quadratic metric. Part 2: Asymptotic efficiency

abstract:
  Asymptotic efficiency is proved for the constructed in part 1 procedure, i.e.
Pinsker's constant is found in the asymptotic lower bound for the minimax
quadratic risk. It is shown that the asymptotic minimax quadratic risk of the
constructed procedure coincides with this constant.


title:
Adaptive nonparametric estimation in heteroscedastic regression models.
  Part 1: Sharp non-asymptotic Oracle inequalities

abstract:
  An adaptive nonparametric estimation procedure is constructed for the
estimation problem of heteroscedastic regression when the noise variance
depends on the unknown regression. A non-asymptotic upper bound for a quadratic
risk (an oracle inequality) is constructed.


title: The Yamabe problem with singularities

abstract:
  Let $(M,g)$ be a compact Riemannian manifold of dimension $n\geq 3$. Under
some assumptions, we prove that there exists a positive function $\varphi$
solution of the following Yamabe type equation \Delta \varphi+ h\varphi= \tilde
h \varphi^{\frac{n+2}{n-2}} where $h\in L^p(M)$, $p>n/2$ and $\tilde h\in
\mathbb R$. We give the regularity of $\varphi$ with respect to the value of
$p$. Finally, we consider the results in geometry when $g$ is a singular
Riemannian metric and $h=\frac{n-2}{4(n-1)}R_g$, where $R_g$ is the scalar
curvature of $g$.


title: In search of a theory of supercooled liquids

abstract:
  Despite the absence of consensus on a theory of the transition from
supercooled liquids to glasses, the experimental observations suggest that a
detail-independent theory should exist.


title: CP violation in the secluded U(1)'-extended MSSM

abstract:
  We study the Higgs sector of the secluded $U(1)'$-extended MSSM (sMSSM)
focusing on CP violation. Using the one-loop effective potential that includes
contributions from quarks and squarks in the third generation, we search for
the allowed region under theoretical and experimental constraints. It is found
that the possible region for the electroweak vacuum to exist is quite limited,
depending on the parameters in the model. The masses and couplings of the Higgs
bosons are calculated with/without CP violation. Even at the tree level, CP
violation is possible by complex soft SUSY breaking masses. Similar to the CPX
scenario in the MSSM, the scalar-pseudoscalar mixing enables the lightest Higgs
boson mass to become smaller than the $Z$ boson mass while the coupling with
the $Z$ boson is sufficiently suppressed to avoid the LEP experimental
constraints. However, unlike the CPX scenario, large $\mu$ and $A$ are not
required for the realization of large CP violation. The typical spectrum of the
SUSY particles is thus different. We also investigate the possible upper bound
of the lightest Higgs boson in the case of spontaneous CP violation. The
maximal value of it can reach above 100 GeV with maximal CP-violating phases.


title:
Charge transport in bacteriorhodopsin monolayers: The contribution of
  conformational change to current-voltage characteristics

abstract:
  When moving from native to light activated bacteriorhodopsin, modification of
charge transport consisting of an increase of conductance is correlated to the
protein conformational change. A theoretical model based on a map of the
protein tertiary structure into a resistor network is implemented to account
for a sequential tunneling mechanism of charge transfer through neighbouring
amino acids. The model is validated by comparison with current-voltage
experiments. The predictability of the model is further tested on bovine
rhodopsin, a G-protein coupled receptor (GPCR) also sensitive to light. In this
case, results show an opposite behaviour with a decrease of conductance in the
presence of light.

categories: q-bio.QM cond-mat.soft physics.chem-ph q-bio.MN


title: Robust control of a bimorph mirror for adaptive optics system

abstract:
  We apply robust control technics to an adaptive optics system including a
dynamic model of the deformable mirror. The dynamic model of the mirror is a
modification of the usual plate equation. We propose also a state-space
approach to model the turbulent phase. A continuous time control of our model
is suggested taking into account the frequential behavior of the turbulent
phase. An H_\infty controller is designed in an infinite dimensional setting.
Due to the multivariable nature of the control problem involved in adaptive
optics systems, a significant improvement is obtained with respect to
traditional single input single output methods.


title:
Background Independent Quantum Mechanics, Gravity, and Physics at Short
  Distance: Some Insights

abstract:
  In the present discussion Background Independent framework of Quantum
Mechanics and its possible implications in the studies of gravity and Physics
at short distance are addressed. The expression of the metric of quantum state
space $g_{\mu\nu}$ which is intrinsically a quantized quantity, is identified
in terms of Compton wavelength as: $[<\partial_\mu\psi\mid\partial_\nu\psi> -
<\partial_\mu\psi\mid\psi> <\psi\mid\partial_\nu\psi>] = 1 / \lambdabar_C^2
(=m_0^2c^2 / \hbar^2})$. The discussion also sheds light on the notion of
neighborhood in quantum evolution, and various constraints on the possibilities
of smallness of distance in the quantum mechanical limits.


title: Curvature driven diffusion, Rayleigh-Plateau, and Gregory-Laflamme

abstract:
  It can be expected that the respective endpoints of the Gregory-Laflamme
black brane instability and the Rayleigh-Plateau membrane instability are
related because the bifurcation diagrams of the black hole-black string system
and the liquid drop-liquid bridge system display many similarities. In this
paper, we investigate the non-linear dynamics of the Rayleigh-Plateau
instability in a range of dimensions, including the critical dimension at which
the phase structure changes. We show that near the critical dimension and
above, depending on a parameter in initial conditions an unstable cylinder will
either pinch off or converge to an equilibrium state. The equilibrium state is
apparently non-uniform but has a constant mean curvature everywhere. The
results suggest that in the gravity side, near the critical dimension and
above, the final state of an unstable black string (which is not too long) is a
non-uniform black string. The equation of motion adopted to describe the
dynamics is the surface diffusion equation, which was originally proposed to
describe a grooving process of heated metal surfaces. An interesting
correspondence between the diffusion dynamics and black hole (thermo)dynamics
is discussed.

categories: hep-th gr-qc math-ph math.MP physics.flu-dyn


title:
Information Acquisition and Exploitation in Multichannel Wireless
  Networks

abstract:
  A wireless system with multiple channels is considered, where each channel
has several transmission states. A user learns about the instantaneous state of
an available channel by transmitting a control packet in it. Since probing all
channels consumes significant energy and time, a user needs to determine what
and how much information it needs to acquire about the instantaneous states of
the available channels so that it can maximize its transmission rate. This
motivates the study of the trade-off between the cost of information
acquisition and its value towards improving the transmission rate.
  A simple model is presented for studying this information acquisition and
exploitation trade-off when the channels are multi-state, with different
distributions and information acquisition costs. The objective is to maximize a
utility function which depends on both the cost and value of information.
Solution techniques are presented for computing near-optimal policies with
succinct representation in polynomial time. These policies provably achieve at
least a fixed constant factor of the optimal utility on any problem instance,
and in addition, have natural characterizations. The techniques are based on
exploiting the structure of the optimal policy, and use of Lagrangean
relaxations which simplify the space of approximately optimal solutions.


title: Amenability of algebras of approximable operators

abstract:
  We give a necessary and sufficient condition for amenability of the Banach
algebra of approximable operators on a Banach space. We further investigate the
relationship between amenability of this algebra and factorization of
operators, strengthening known results and developing new techniques to
determine whether or not a given Banach space carries an amenable algebra of
approximable operators. Using these techniques, we are able to show, among
other things, the non-amenability of the algebra of approximable operators on
Tsirelson's space.


title:
Linear Temperature Dependence of the Lower Critical Field $H_{c1}$ in
  F-Doped LaOFeAs Superconductors

abstract:
  We present the first experimental results of the lower critical field
$H_{c1}$ of the newly discovered F-doped superconductor
LaO$_{0.9}$F$_{0.1}$FeAs (F-LaOFeAs) by global and local magnetization
measurements. It is found that $H_{c1}$ showed an clear linear-$T$ dependence
down to a temperature of 2 K, indicative of an unconventional pairing symmetry
with a nodal gap function. Based on the d-wave model, we estimated a maximum
gap value $\Delta_0=4.0 \pm 0.6$ meV, in consistent with the recent specific
heat and point-contact tunneling measurements. Taking the demagnetization
factor into account, the absolute value of $H_{c1}(0)$ is determined to be
about 54 Oe, manifesting a low superfluid density for LaO$_{0.9}$F$_{0.1}$FeAs.


title:
Multiwavelength analysis of the intriguing GRB 061126: the reverse shock
  scenario and magnetization

abstract:
  We present a detailed study of the prompt and afterglow emission from Swift
GRB 061126 using BAT, XRT, UVOT data and multi-color optical imaging from ten
ground-based telescopes. GRB 061126 was a long burst (T_90=191 s) with four
overlapping peaks in its gamma-ray light curve. The X-ray afterglow, observed
from 26 min to 20 days after the burst, shows a simple power-law decay with
alpha_X=1.290 \pm 0.008. Optical observations presented here cover the time
range from 258 s (Faulkes Telescope North) to 15 days (Gemini North) after the
burst; the decay rate of the optical afterglow shows a steep-to-shallow
transition (from alpha_1=1.48 \pm 0.06 to alpha_2=0.88 \pm 0.03) approximately
13 min after the burst. We suggest the early, steep component is due to a
reverse shock and show that the magnetic energy density in the ejecta,
expressed as a fraction of the equipartion value, is a few ten times larger
than in the forward shock in the early afterglow phase. The ejecta might be
endowed with primordial magnetic fields at the central engine. The optical
light curve implies a late-time break at about 1.5 days after the burst, while
there is no evidence of the simultaneous break in the X-ray light curve. We
model the broad band emission and show that some afterglow characteristics (the
steeper decay in X-ray and the shallow spectral index from optical to X-ray)
are difficult to explain in the framework of the standard fireball model. This
might imply that the X-ray afterglow is due to an additional emission process,
such as late time central engine activity rather than blast-wave shock
emission. The possible chromatic break at 1.5 days after the burst would give
support to the additional emission scenario.


title: On cobweb posets most relevant codings

abstract:
  One considers here orderable acyclic digraphs named KoDAGs which represent
the outmost general chains of dibicliques denoting thus the outmost general
chains of binary relations. Because of this fact KoDAGs start to become an
outstanding concept of nowadays investigation. We propose here examples of
codings of KoDAGs looked upon as infinite hyper-boxes as well as chains of
rectangular hyper-boxes in N^\infty. Neither of KoDAGs codings considered here
is a poset isomorphism with Pi = <P, \leq>. Nevertheless every example of
coding supplies a new view on possible investigation of KoDAGs properties. The
codes proposed here down are by now recognized as most relevant codes for
practical purposes including visualization. More than that. Employing quite
arbitrary sequences F=\{n_F\}_{n\geq 0} infinitely many new representations of
natural numbers called base of F number system representations are introduced.
These constitute mixed radix-type numeral systems. F base nonstandard
positional numeral systems in which the numerical base varies from position to
position have picturesque interpretation due to KoDAGs graphs and their
correspondent posets which in turn are endowed on their own with combinatorial
interpretation of uniquely assigned to KoDAGs F-nomial coefficients. The base
of F number systems are used for KoDAGs coding and are interpreted as chain
coordinatization in KoDAGs pictures as well as systems of infinite number of
boxes sequences of F-varying containers capacity of subsequent boxes. Needless
to say how crucial is this base of F number system for KoDAGs hence
consequently for arbitrary chains of binary relations. New F based numeral
systems are umbral base of F number systems in a sense to be explained in what
follows.


title: On affine usages in signal-based communication

abstract:
  We describe a type system for a synchronous pi-calculus formalising the
notion of affine usage in signal-based communication. In particular, we
identify a limited number of usages that preserve affinity and that can be
composed. As a main application of the resulting system, we show that typable
programs are deterministic.


title: Micro-local analysis in Fourier Lebesgue and modulation spaces. Part I

abstract:
  Let $\omega ,\omega_0$ be appropriate weight functions and $q\in [1,\infty
]$. We introduce the wave-front set, $\WF_{\mathscr FL^q_{(\omega)}}(f)$ of
$f\in \mathscr S'$ with respect to weighted Fourier Lebesgue space $\mathscr
FL^q_{(\omega)}$. We prove that usual mapping properties for
pseudo-differential operators $\op (a)$ with symbols $a$ in $S^{(\omega
_0)}_{\rho, 0}$ hold for such wave-front sets. Especially we prove
\WF_{\mathscr FL^q_{(\omega /\omega_0)}}(\op (a)f)\subseteq \WF_{\mathscr
FL^q_{(\omega)}}(f) \subseteq \WF_{\mathscr FL^q_{(\omega /\omega_0)}}(\op
(a)f)\ttbigcup \Char (a). %% Here $\Char (a)$ is the set of characteristic
points of $a$.


title: Twenty-three new ultra-cool subdwarfs from the Sloan Digital Sky Survey

abstract:
  A search of the Sloan Digital Sky Survey spectroscopic database has turned up
23 new ultra-cool subdwarfs, low-mass metal-poor stars of spectral subtype M
7.0 or later. Spectra from these red objects all show very strong molecular
bands of CaH but relatively weak bands of TiO, indicative of a cool, metal-poor
atmosphere. Five of the stars are formally classified as M subdwarfs
(sdM7.0-sdM8.5), 13 as more metal-poor extreme subdwarfs (esdM7.0-esdM8.0), and
five as extremely metal-poor ultra subdwarfs (usdM7.0-usdM7.5). In the
[H_r,r-z] reduced proper motion diagram, these subdwarfs clearly populate the
locus of low-luminosity stars with halo kinematics. It is argued that the
objects are all very low-mass, metal-poor stars from the Galactic halo
(Population II). These new discoveries more than double the census of
spectroscopically confirmed ultra-cool subdwarfs. We show that the stars stand
out remarkably in the [g-r,r-i] color-color diagram; a proposed color and
proper motion selection scheme is expected to be extremely efficient in
identifying more of these old, very low mass stars in the vicinity of the Sun.


title: On Parallel Sections of a Vector Bundle

abstract:
  We consider when a smooth vector bundle endowed with a connection possesses
non-trivial, local parallel sections. This is accomplished by means of a
derived flag of subsets of the bundle. The procedure is algebraic and rests
upon the Frobenius Theorem.


title: Push-outs of derivations

abstract:
  Let A be a Banach algebra and let X be a Banach A -bimodule. In studying the
bounded Hochschild cohomology groups H^1(A,X) it is often useful to extend a
given derivation D: A-> X to a Banach algebra B containing A as an ideal,
thereby exploiting (or establishing) hereditary properties. This is usually
done using (bounded/unbounded) approximate identities to obtain the extension
as a limit of operators b->D(ba)-b.D(a), (a in A) in an appropriate operator
topology, the main point in the proof being to show that the limit map is in
fact a derivation. In this paper we make clear which part of this approach is
analytic and which algebraic by presenting an algebraic scheme that gives
derivations in all situations at the cost of enlarging the module. We use our
construction to give improvements and shorter proofs of some results from the
literature and to give a necessary and sufficient condition that biprojectivity
and biflatness are inherited to ideals.


title:
Effects of non-WKB Alfven waves on a multicomponent solar wind with
  differential ion flow

abstract:
  We present multicomponent solar wind models self-consistently incorporating
the contribution from dissipationless, monochromatic, finite-wavelength
(non-WKB), hydromagnetic, toroidal Alfv\'en waves, which are coupled to the
flow only through the ponderomotive forces. We find that the non-WKB effects
are significant, for the fast and slow solar wind solutions alike. Compared
with their non-WKB counterparts the WKB ones are more effective in accelerating
the solar wind inside the Alfv\'en point, producing significantly enhanced ion
fluxes and considerably reduced alpha abundance in the inner corona. Only when
$\omega \gtrsim 3.5\times 10^{-3}$ ($1.5\times 10^{-3}$) $\rm rad s^{-1}$ can
the fast (slow) wind models be adequately approximated by the WKB one.
Moreover, while the Alfv\'en waves tend to reduce the magnitude of the
proton-alpha speed difference $|U_{\alpha p}|$ in general, different mechanisms
operate in two different regimes separated by an $\omega_c\sim {several}\times
10^{-5}$ $\rm rad s^{-1}$. When $\omega > \omega_c$, the fluctuations are
wave-like and tend to accelerate both ion species, thereby losing most of their
energy by doing work on ion flows; whereas when $\omega < \omega_c$, a
quasi-static behavior results: the fluctuations may act to accelerate the
slower flowing ion species but decelerate the faster moving one in a large
portion of the computational domain, and only a minor fraction of the wave
energy flux injected at the base is lost. The consequences of $\omega_c$ on the
velocity fluctuation spectra of protons and alpha particles, which are likely
to be obtained by future missions like Solar Orbiter and Solar Probe, are
discussed.


title: Probability distributions of turbulent energy

abstract:
  Probability density functions (PDFs) of scale-dependent energy fluctuations,
$P[\delta E(\ell)]$, are studied in high-resolution direct numerical
simulations of Navier-Stokes and incompressible magnetohydrodynamic (MHD)
turbulence. MHD flows with and without a strong mean magnetic field are
considered. For all three systems it is found that the PDFs of inertial range
energy fluctuations exhibit self-similarity and monoscaling in agreement with
recent solar-wind measurements [B. Hnat et al., Geophys. Res. Lett. 29(10),
86-1 (2002)]. Furthermore, the energy PDFs exhibit similarity over all scales
of the turbulent system showing no substantial qualitative change of shape as
the scale of the fluctuations varies. This is in contrast to the well-known
behavior of PDFs of turbulent velocity fluctuations. In all three cases under
consideration the $P[\delta E(\ell)]$ resemble L\'evy-type gamma distributions
$\sim \Delta^{-1}\exp(-|\delta E|/\Delta)|\delta E|^{-\gamma}$ The observed
gamma distributions exhibit a scale-dependent width $\Delta(\ell)$ and a
system-dependent $\gamma$. The monoscaling property reflects the inertial-range
scaling of the Els\"asser-field fluctuations due to lacking Galilei invariance
of $\delta E$. The appearance of L\'evy distributions is made plausible by a
simple model of energy transfer.