title: Quadratic algebras and integrable chains

abstract:
  Using Krichever-Phong's universal formula, we show that a multiplicative
representation linearizes Sklyanin quadratic brackets for a multi-pole Lax
function with a spectral parameter. The spectral parameter can be either
rational or elliptic. As a by-product, we obtain an extension of a Sklyanin
algebra in the elliptic case. Krichever-Phong's formula provides a hierarchy of
symplectic structures, and we show that there exists a non-trivial cubic
bracket in Sklyanin's case.


title:
The controlled teleportation of an arbitrary two-atom entangled state in
  driven cavity QED

abstract:
  In this paper, we propose a scheme for the controlled teleportation of an
arbitrary two-atom entangled state
$|\phi>_{12}=a|gg>_{12}+b|ge>_{12}+c|eg>_{12}+d|ee>_{12}$ in driven cavity QED.
An arbitrary two-atom entangled state can be teleported perfectly with the help
of the cooperation of the third side by constructing a three-atom GHZ entangled
state as the controlled channel. This scheme does not involve apparent (or
direct) Bell-state measurement and is insensitive to the cavity decay and the
thermal field. The probability of the success in our scheme is 1.0.


title: Long-time self-similar asymptotic of the macroscopic quantum models

abstract:
  The unipolar and bipolar macroscopic quantum models derived recently for
instance in the area of charge transport are considered in spatial
one-dimensional whole space in the present paper. These models consist of
nonlinear fourth-order parabolic equation for unipolar case or coupled
nonlinear fourth-order parabolic system for bipolar case. We show for the first
time the self-similarity property of the macroscopic quantum models in large
time. Namely, we show that there exists a unique global strong solution with
strictly positive density to the initial value problem of the macroscopic
quantum models which tends to a self-similar wave (which is not the exact
solution of the models) in large time at an algebraic time-decay rate.


title: Commutative Moufang loops and alternative algebras

abstract:
  We compute the orders of free commutative Moufand loops of exponent 3 with
$n\leq 7$ free generators and find embeddings of such loops into a loop of
invertible elements of the free commutative alternative algebra with identity
$x^3=0$.


title:
Optimal decay rate of the compressible Navier-Stokes-Poisson system in
  R^3

abstract:
  The compressible Navier-Stokes-Poisson (NSP) system is considered in $R^3$ in
the present paper and the influences of the electric field of the internal
electrostatic potential force governed by the self-consistent Poisson equation
on the qualitative behaviors of solutions is analyzed. It is observed that the
rotating effect of electric field affects the dispersion of fluids and reduces
the time decay rate of solutions. Indeed, we show that the density of the NSP
system converges to its equilibrium state at the same $L^2$-rate
$(1+t)^{-\frac34}$ or $L^\infty$-rate $(1+t)^{-3/2}$ respectively as the
compressible Navier-Stokes system, but the momentum of the NSP system decays at
the $L^2$-rate $(1+t)^{-\frac14}$ or $L^\infty$-rate $(1+t)^{-1}$ respectively,
which is slower than the $L^2$-rate $(1+t)^{-\frac34}$ or $L^\infty$-rate
$(1+t)^{-3/2}$ for the compressible Navier-Stokes system. These convergence
rates are also shown to be optimal for the compressible NSP system.


title: Classical and quantum dimers on the star lattice

abstract:
  We consider dimers on the star lattice (aka the 3-12, Fisher, expanded kagome
or triangle-honeycomb lattice). We show that dimer coverings on this lattice
have Z_2 arrow and pseudo-spin representations analogous to those for the
kagome lattice, and use these to construct an exactly solvable quantum dimer
model (QDM) with a Rokhsar-Kivelson (RK) ground state. This QDM, first
discussed by Moessner and Sondhi from a different point of view, is the
star-lattice analogue of a kagome-lattice QDM analyzed by Misguich et al. We
give a detailed analysis of various properties of the classical equal-weight
dimer model on the star lattice, most of which are related to those of the RK
state. Using both the arrow representation and the fermionic path integral
formulation of the Pfaffian method, we calculate the number of dimer coverings,
dimer occupation probabilities, and dimer, vison, and monomer correlation
functions. We show that a dimer is uncorrelated with dimers further away than
on neighboring triangles, that the vison-vison correlation function vanishes,
and that the monomer-monomer correlation function equals 1/4 regardless of the
monomer positions (with one exception). A key result in the fermionic approach
is the vanishing of the two-point Green function beyond a short distance. These
properties are very similar to those of dimers on the kagome lattice. We also
discuss some generalizations involving arrow representations for dimer
coverings on "general Fisher lattices" and their "reduced" lattices, with the
kagome, squagome, and triangular kagome lattice being examples of the latter.


title: Algebraic time-decay for the bipolar quantum hydrodynamic model

abstract:
  The initial value problem is considered in the present paper for bipolar
quantum hydrodynamic model for semiconductors (QHD) in $\mathbb{R}^3$. We prove
that the unique strong solution exists globally in time and tends to the
asymptotical state with an algebraic rate as $t\to+\infty$. And, we show that
the global solution of linearized bipolar QHD system decays in time at an
algebraic decay rate from both above and below. This means in general, we can
not get exponential time-decay rate for bipolar QHD system, which is different
from the case of unipolar QHD model (where global solutions tend to the
equilibrium state at an exponential time-decay rate) and is mainly caused by
the nonlinear coupling and cancelation between two carriers. Moreover, it is
also shown that the nonlinear dispersion does not affect the long time
asymptotic behavior, which by product gives rise to the algebraic time-decay
rate of the solution of the bipolar hydrodynamical model in the semiclassical
limit.


title:
Semiclassical and relaxation limits of bipolar quantum hydrodynamic
  model

abstract:
  The global in-time semiclassical and relaxation limits of the bipolar quantum
hydrodynamic model for semiconductors are investigated in $R^3$. We prove that
the unique strong solution converges globally in time to the strong solution of
classical bipolar hydrodynamical equation in the process of semiclassical limit
and to that of the classical Drift-Diffusion system under the combined
relaxation and semiclassical limits.


title:
On Ramification Filtrations and p-adic Differential Equations, II: mixed
  characteristic case

abstract:
  Let K be a complete discretely valued field of mixed characteristic (0, p)
with possibly imperfect residue field. We prove a Hasse-Arf theorem for the
arithmetic ramification filtrations on G_K, except possibly in the absolutely
unramified and non-logarithmic case, or p=2 and logarithmic case. As an
application, we obtain a Hasse-Arf theorem for filtrations on finite flat group
schemes over O_K.


title: Finite Temperature Phase Diagram in Rotating Bosonic Optical Lattice

abstract:
  Finite temperature phase boundary between superfluid phase and normal state
is analytically derived by studying the stability of normal state in rotating
bosonic optical lattice. We also prove that the oscillation behavior of
critical hopping matrix directly follows the upper boundary of Hofstadter
butterfly as the function of effective magnetic field.


title: On Uniqueness of Kerr Space-time near null infinity

abstract:
  We re-express the Kerr metric in standard Bondi-Saches' coordinate near null
infinity ${\cal I}^+$. Using the uniqueness result of characteristic initial
value problem, we prove the Kerr metric is the only asymptotic flat,
stationary, axial symmetric, Type-D solution of vacuum Einstein equation. The
Taylor series of Kerr space-time is expressed in terms of B-S coordinates and
the N-P constants have been calculated.


title:
Oscillation of Pauli Paramagnetism in Rotating Two-Component Fermionic
  Atom Gases

abstract:
  By rotating two-component fermionic atom gases in uniform magnetic field, a
similar physical situation with de Haas-van Alphen effect is constructed. We
calculate magnetic moment of the system and find that owing to an existence of
effective magnetic field coming from the rotation, the magnetic moment also
shows the oscillatory behavior about magnetic field, but it is completely
different from the famous oscillation of de Haas-van Alphen effect. This
distinction is due to that in the atomic gases the orbital motion of atom only
couples to rotation and does not contribute to magnetic moment in the light of
atomic charge neutrality.


title: Suzaku Observations of Extreme MeV Blazar SWIFT J0746.3+2548

abstract:
  We report the Suzaku observations of the high luminosity blazar SWIFT
J0746.3+2548 (J0746) conducted in November 2005. This object, with z = 2.979,
is the highest redshift source observed in the Suzaku Guaranteed Time Observer
(GTO) period, is likely to show high gamma-ray flux peaking in the MeV range.
As a result of the good photon statistics and high signal-to-noise ratio
spectrum, the $Suzaku$ observation clearly confirms that J0746 has an extremely
hard spectrum in the energy range of 0.3-24 keV, which is well represented by a
single power-law with a photon index of 1.17 and Galactic absorption. The
multiwavelength spectral energy distribution of J0746 shows two continuum
components, and is well modeled assuming that the high-energy spectral
component results from Comptonization of the broad-line region photons. In this
paper we search for the bulk Compton spectral features predicted to be produced
in the soft X-ray band by scattering external optical/UV photons by cold
electrons in a relativistic jet. We discuss and provide constraints on the pair
content resulting from the apparent absence of such features.


title: Interface and electronic characterization of thin epitaxial Co3O4 films

abstract:
  The interface and electronic structure of thin (~20-74 nm) Co3O4(110)
epitaxial films grown by oxygen-assisted molecular beam epitaxy on MgAl2O4(110)
single crystal substrates have been investigated by means of real and
reciprocal space techniques. As-grown film surfaces are found to be relatively
disordered and exhibit an oblique low energy electron diffraction (LEED)
pattern associated with the O-rich CoO2 bulk termination of the (110) surface.
Interface and bulk film structure are found to improve significantly with
post-growth annealing at 820 K in air and display sharp rectangular LEED
patterns, suggesting a surface stoichiometry of the alternative Co2O2 bulk
termination of the (110) surface. Non-contact atomic force microscopy
demonstrates the presence of wide terraces separated by atomic steps in the
annealed films that are not present in the as-grown structures; the step height
of ~ 2.7 A corresponds to two atomic layers and confirms a single termination
for the annealed films, consistent with the LEED results. A model of the (1 *
1) surfaces that allows for compensation of the polar surfaces is presented.


title:
Dynamics of Black Hole Pairs II: Spherical Orbits and the Homoclinic
  Limit of Zoom-Whirliness

abstract:
  Spinning black hole pairs exhibit a range of complicated dynamical behaviors.
An interest in eccentric and zoom-whirl orbits has ironically inspired the
focus of this paper: the constant radius orbits. When black hole spins are
misaligned, the constant radius orbits are not circles but rather lie on the
surface of a sphere and have acquired the name "spherical orbits". The
spherical orbits are significant as they energetically frame the distribution
of all orbits. In addition, each unstable spherical orbit is asymptotically
approached by an orbit that whirls an infinite number of times, known as a
homoclinic orbit. A homoclinic trajectory is an infinite whirl limit of the
zoom-whirl spectrum and has a further significance as the separatrix between
inspiral and plunge for eccentric orbits. We work in the context of two
spinning black holes of comparable mass as described in the 3PN Hamiltonian
with spin-orbit coupling included. As such, the results could provide a testing
ground of the accuracy of the PN expansion. Further, the spherical orbits could
provide useful initial data for numerical relativity. Finally, we comment that
the spinning black hole pairs should give way to chaos around the homoclinic
orbit when spin-spin coupling is incorporated.


title:
The regularizing effects of resetting in a particle system for the
  Burgers equation

abstract:
  We study the dissipation mechanism of a stochastic particle system for the
Burgers equation. The velocity field of the viscous Burgers and Navier-Stokes
equations can be expressed as an expected value of a stochastic process based
on noisy particle trajectories [Constantin and Iyer Comm. Pure Appl. Math. 3
(2008) 330-345]. In this paper we study a particle system for the viscous
Burgers equations using a Monte-Carlo version of the above; we consider N
copies of the above stochastic flow, each driven by independent Wiener
processes, and replace the expected value with $\frac{1}{N}$ times the sum over
these copies. A similar construction for the Navier-Stokes equations was
studied by Mattingly and the first author of this paper [Iyer and Mattingly
Nonlinearity 21 (2008) 2537-2553]. Surprisingly, for any finite N, the particle
system for the Burgers equations shocks almost surely in finite time. In
contrast to the full expected value, the empirical mean $\frac{1}{N}\sum_1^N$
does not regularize the system enough to ensure a time global solution. To
avoid these shocks, we consider a resetting procedure, which at first sight
should have no regularizing effect at all. However, we prove that this
procedure prevents the formation of shocks for any $N\geq2$, and consequently
as $N\to\infty$ we get convergence to the solution of the viscous Burgers
equation on long time intervals.


title:
Spin transport properties of a quantum dot coupled to ferromagnetic
  leads with noncollinear magnetizations

abstract:
  A correct general formula for the spin current through an interacting quantum
dot coupled to ferromagnetic leads with magnetization at an arbitrary angle
$\theta$ is derived within the framework of the Keldysh formalism. Under
asymmetric conditions, the spin current component J_{z} may change sign for
$0<\theta<\pi$. It is shown that the spin current and spin tunneling
magnetoresistance exhibit different angle dependence in the free and Coulomb
blockade regimes. In the latter case, the competition of spin precession and
the spin-valve effect could lead to an anomaly in the angle dependence of the
spin current.


title: Composition of transpositions and equality of ribbon Schur Q-functions

abstract:
  We introduce a new operation on skew diagrams called composition of
transpositions, and use it and a Jacobi-Trudi style formula to derive
equalities on skew Schur Q-functions whose indexing shifted skew diagram is an
ordinary skew diagram. When this skew diagram is a ribbon, we conjecture
necessary and sufficient conditions for equality of ribbon Schur Q-functions.
Moreover, we determine all relations between ribbon Schur Q-functions; show
they supply a Z-basis for skew Schur Q-functions; assert their irreducibility;
and show that the non-commutative analogue of ribbon Schur Q-functions is the
flag h-vector of Eulerian posets.


title:
Topological charge localization in bilayer graphene induced by an
  antisymmetric electric potential step

abstract:
  A charged particle whose energy is less than the electric potential step it
is incident upon, is expected to undergo partial reflection and transmission.
In bilayer graphene, however, a potential step in the form of an antisymmetric
kink results in particle localization due to the interaction between the
particle and its chiral partner. It is found that when the potential step
exceeds a threshold, zero-energy modes of the system emerge, and causes the
kink to acquire a charge. The Hall-effect plateaus in the vicinity of the zero
modes correspond, unexpectedly, to those of the monolayer. The topological
nature of these kink-induced effects and the ease with which a kink can be
generated in practice, suggest possible applications in e.g. storage of
information or switching devices.


title: Solution of reduced equations derived with singular perturbation methods

abstract:
  For singular perturbation problems in dynamical systems, various appropriate
singular perturbation methods have been proposed to eliminate secular terms
appearing in the naive expansion. For example, the method of multiple time
scales, the normal form method, center manifold theory, the renormalization
group method are well known. In this paper, it is shown that all of the
solutions of the reduced equations constructed with those methods are exactly
equal to sum of the most divergent secular terms appearing in the naive
expansion. For the proof, a method to construct a perturbation solution which
differs from the conventional one is presented, where we make use of the theory
of Lie symmetry group.


title:
Analysis of Aperture Evolution in a Rock Joint Using a Complex Network
  Approach

abstract:
  In this study, we develop a complex network approach on a rough fracture,
where evolution of elementary aperture during translational shear is
characterized. In this manner, based on some hidden metric spaces (similarity
measurements) between apertures profiles, we make evolutionary network in two
directions (in parallel and perpendicular to the shear direction) and on the
measured apertures profiles. Evaluation of the emerged network shows the
connectivity degree (distribution) of network, after a transition step; fall in
to the stable states which are coincided with the Gaussian distribution. Based
on this event and real observations of the complex network changes, a simple
model has been proposed in which evolving (decaying) of network is accomplished
using a preferential detachment of edges. This suggests that destroying of
surfaces is accomplished in a manner that is followed as a combination of
random and preferential selection of each element. Also, evolving of cluster
coefficients and number of edges displays similar patterns as well as are
appeared in shear stress, hydraulic conductivity and dilation changes, which
can be engaged to estimate shear strength distribution of asperities.
Distinguishing of the contact profiles (or their equivalent : percolating
clusters) and their changes, despite the former case, disclosed new side of a
network, namely growing networks, which shed light the details of changes
within intra-topology of profiles.
  Keywords: Complex Network, Aperture Evolution, Rock Joint


title:
Preparation and Characterization of <alpha>-Fe2O3 polyhedral
  nanocrystals via annealing technique

abstract:
  Polyhedral nanocrystals of <alpha>-Fe2O3 are successfully synthesized by
annealing FeCl3 on silicon substrate at 1000 oC in the presence of H2 gas
diluted with argon (Ar). Uniformly shaped polyhedral nanoparticles (diameter
~50-100 nm) are observed at 1000 oC and gases flow rate such as; Ar = 200
ml/min and H2 = 150 ml/min. Non-uniform shaped nanoparticles (diameter ~ 20-70
nm) are also observed at an annealing temperature of 950 oC with lower gases
flow rate (Ar = 100 ml/min and H2 = 75 ml/min). Nanoparticles are characterized
in detail by field-emission electron microscopy (FE-SEM), energy dispersive
x-ray (EDX) and high resolution transmission electron microscopy (HRTEM)
techniques. HRTEM study shows well resolved (110) fringes corresponding to
<alpha>-Fe2O3, and selected area diffraction pattern (SADP) confirms the
crystalline nature of <alpha>-Fe2O3 polyhedral nanoparticles. It is observed
that polyhedral formation of <alpha>-Fe2O3 nano crystals depends upon annealing
temperature and the surface morphology highly rely on the gas flow rate inside
the reaction chamber.


title: Slow relaxation of rapidly rotating black holes

abstract:
  We study analytically the relaxation phase of perturbed, rapidly rotating
black holes. In particular, we derive a simple formula for the fundamental
quasinormal resonances of near-extremal Kerr black holes. The formula is
expressed in terms of the black-hole physical parameters: omega=m Omega-i2 pi
T(n+1/2), where T and Omega are the temperature and angular velocity of the
black hole, and m is the azimuthal harmonic index of a co-rotating equatorial
mode. This formula implies that the relaxation period tau sim 1/Im(omega) of
the black hole becomes extremely long as the extremal limit T to 0 is
approached. The analytically derived formula is shown to agree with direct
numerical computations of the black-hole resonances. We use our results to
demonstrate analytically the fact that near-extremal Kerr black holes saturate
the recently proposed universal relaxation bound.


title: The sdB+M Eclipsing System HW Virginis and its Circumbinary Planets

abstract:
  For the very short-period sdB eclipsing binary HW Vir, we present new CCD
photometry made from 2000 through 2008. In order to obtain consistency of the
binary parameters, our new light curves were analyzed simultaneously with
previously published radial-velocity data. The secondary star parameters of
$M_2$=0.14 M$_\odot$, $R_2$=0.18 R$_\odot$, and $T_2$=3,084 K are consistent
with those of an M6-7 main sequence star. More than 250 times of minimum light,
including our 41 timings and spanning more than 24 yrs, were used for a period
study. From a detailed analysis of the $O$--$C$ diagram, it emerged that the
orbital period of HW Vir has varied as a combination of a downward-opening
parabola and two sinusoidal variations, with cycle lengths of $P_3$=15.8 yr and
$P_4$=9.1 yr and semi-amplitudes of $K_3$=77 s and $K_4$=23 s, respectively.
The continuous period decrease with a rate of $-8.28\times10^{-9}$ d yr$^{-1}$
may be produced by angular momentum loss due to magnetic stellar wind braking
but not by gravitational radiation. Of the possible causes of the cyclical
components of the period change, apsidal motion and magnetic period modulation
can be ruled out. The most reasonable explanation of both cyclical variations
is a pair of light-travel-time effects driven by the presence of two substellar
companions with projected masses of $M_3 \sin i_3$=19.2 M$\rm_{Jup}$ and $M_4
\sin i_4$=8.5 M$\rm_{Jup}$. The two objects are the first circumbinary planets
known to have been formed in a protoplanetary disk as well the first ones
discovered by using the eclipse-timing method. The detection implies that
planets could be common around binary stars just as are planets around single
stars and demonstrates that planetary systems formed in a circumbinary disk can
survive over long time scales.


title:
Size and interaction dependent solute diffusion in a dilute body
  centered cubic solid solution

abstract:
  We report results of molecular dynamics simulations to understand the role of
solute and solute-solvent interaction on solute diffusivity in a solid solution
within a body centered cubic solid when the solute size is significantly
smaller than the size of the solvent atom. Results show that diffusivity is
maximum for two specific sizes of the solute atom. This is the first time that
twin maxima have been found. The solute with diffusivity maxima are larger in
case of rigid host as compared to flexible host. This suggests that the effect
of lattice vibrations is to decrease the size at which the maximum is seen. For
one of the $\epsilon_{uv}$ where two diffusivity maxima have been observed, we
have analyzed various properties to understand the anomalous diffusion
behavior. It is characterized by a lower activation energy, lower
backscattering in the velocity autocorrelation function, lower mean square
force, single exponential decay of the intermediate scattering function and
monotonic dependence on $k$ of the $\Delta \omega/2Dk^2$ where $\Delta \omega$
is the fwhm of the self part of the dynamic structure factor. Among the two
solute atoms at the anomalous maxima, the solute with higher diffusivity has
lower activation energy.


title: On a solution of one fuzzy logic problem

abstract:
  In this paper defuzzification method of WABL is investigated, its properties
are analyzed. The WABL method is applied to some fuzzy models. The package of
applied programs is worked out on the base of proposed algorithms. The obtained
in the form of visual- interactive graphs results are compared with knows ones.


title:
Regularity and dimension spectrum of the equivariant spectral triple for
  the odd dimensional quantum spheres

abstract:
  The odd dimensional quantum sphere $S_q^{2\ell+1}$ is a homogeneous space for
the quantum group $SU_q(\ell+1)$. A generic equivariant spectral triple for
$S_q^{2\ell+1}$ on its $L_2$ space was constructed by Chakraborty & Pal. We
prove regularity for that spectral triple here. We also compute its dimension
spectrum and show that it is simple. We give detailed construction of its
smooth function algebra and some related algebras that help proving regularity
and in the computation of the dimension spectrum. Following the idea of Connes
for $SU_q(2)$, we first study another spectral triple for $S_q^{2\ell+1}$
equivariant under torus group action constructed by Chakraborty & Pal. We then
derive the results for the $SU_q(\ell+1)$-equivariant triple in the $q=0$ case
from those for the torus equivariant triple. For the $q\neq 0$ case, we deduce
regularity and dimension spectrum from the $q=0$ case.


title:
A study of the size dependence of self diffusivity across the
  solid-liquid transition

abstract:
  The present study investigates the effect of temperature-induced change of
phase from face centred cubic solid to liquid on the size dependence of self
diffusivity of solutes through detailed molecular dynamics simulations on
binary mixtures consisting of a larger solvent and a smaller solute interacting
via Lennard-Jones potential. The effect of change in density during the
solid-liquid transition as well as in the solid and the liquid phase itself
have been studied through two sets of simulations one at fixed density(NVE)and
another at variable density(NPT). A size dependent diffusivity maximum is seen
in both solid and liquid phases at most densities except at low liquid
densities. Two distinct regimes may be identified : linear and anomalous
regimes. It is seen that the effect of solid to liquid transition is to shift
the diffusivity maximum to smaller sizes of the solutes and decrease the height
of the maximum. This is attributed to the predominant influence of disorder and
relatively weaker influence of density. The latter shifts the diffusivity
maximum towards larger solute size while the former does exactly the opposite.
Interestingly, we find that lower densities lead to weaker diffusivity maximum.
We report for the first time for systems with large solute-solvent interaction
strength, $\epsilon_{uv}$, multiple diffusivity maximum is seen as a function
of the solute size. The origin of this is not clear. A remarkable difference in
the ballistic-diffusive transition is seen between solutes from the linear
regime and anomalous regime. It is found that this transition is sharp for
solutes from anomalous regime. This provides interesting insight into motion of
anomalous regime solutes. Apart from these, we report several properties which
are different for the linear and anomalous regime solutes.


title: Quantum well states in two-dimensional gold clusters on MgO thin films

abstract:
  The electronic structure of ultra-small Au clusters on thin MgO/Ag(001) films
has been analyzed by scanning tunneling spectroscopy and density functional
theory. The clusters exhibit two-dimensional (2D) quantum well states, whose
shapes resemble the eigen-states of a 2D electron gas confined in a parabolic
potential. From the symmetries of the HOMO and LUMO of a particular cluster,
its electron filling and charge state is determined. In accordance to a DFT
Bader-charge analysis, aggregates containing up to twenty atoms accumulate one
to four extra electrons due to a charge transfer from the MgO/Ag interface. The
HOMO - LUMO gap is found to close for clusters containing between 70 and 100
atoms.


title: Anomalous isotope effects of fulleride superconductors

abstract:
  The numerical calculations of the standard Eliashberg-Nambu strong coupling
theory and a formula of isotope effect derived in this paper provide direct
evidences that an-harmonic vibrations of lattice enhance isotope effect with
anomalous coefficient $\alpha>1/2$. The results in this paper explain very well
the wide distributed $\alpha$ values for the samples with different ratios of
substitutions of $^{12}$C by $^{13}$C of fulleride superconductor
Rb$_{3}$C$_{60}$. The calculations of isotope effects indicate that the
intra-molecule radial modes have more important contributions to
superconductivity than the intra-molecule tangential modes with higher phonon
frequencies


title:
Homoclinic Orbits around Spinning Black Holes I: Exact Solution for the
  Kerr Separatrix

abstract:
  Under the dissipative effects of gravitational radiation, black hole binaries
will transition from an inspiral to a plunge. The separatrix between bound and
plunging orbits features prominently in the transition. For equatorial Kerr
orbits, we show that the separatrix is a homoclinic orbit in one-to-one
correspondence with an energetically-bound, unstable circular orbit. After
providing a definition of homoclinic orbits, we exploit their correspondence
with circular orbits and derive exact solutions for them. This paper focuses on
homoclinic behavior in physical space, while in a companion paper we paint the
complementary phase space portrait. The exact results for the Kerr separatrix
could be useful for analytic or numerical studies of the transition from
inspiral to plunge.


title:
Homoclinic Orbits around Spinning Black Holes II: The Phase Space
  Portrait

abstract:
  In paper I in this series, we found exact expressions for the equatorial
homoclinic orbits: the separatrix between bound and plunging, whirling and not
whirling. As a companion to that physical space study, in this paper we paint a
phase space portrait of the homoclinic orbits that includes exact expressions
for the actions and fundamental frequencies. Additionally, we develop a reduced
Hamiltonian description of Kerr motion that allows us to track groups of
trajectories with a single global clock. This facilitates a variational
analysis, whose stability exponents and eigenvectors could potentially be
useful for future studies of families of black hole orbits and their associated
gravitational waveforms.


title: Adaptive Fault Masking With Incoherence Scoring

abstract:
  An adaptive voting algorithm for digital media was introduced in this study.
Availability was improved by incoherence scoring in voting mechanism of
Multi-Modular Redundancy. Regulation parameters give the algorithm flexibility
of adjusting priorities in decision process. Proposed adaptive voting algorithm
was shown to be more aware of fault status of redundant modules


title: Mixing and lifetime of B-meson using Coulomb plus power potential

abstract:
  The investigation of mixing phenomena and lifetime in neutral B meson systems
provides an important testing ground for standard model flavour dynamics.
Spectroscopic parameters has been used to calculate the pseudoscalar decay
constant and predictions of mixing mass parameters and lifetimes of the B$_{d}$
and B$_{s}$ mesons.


title:
Vanishing of vacuum states and blow-up phenomena of the compressible
  Navier-Stokes equations

abstract:
  The Navier-Stokes systems for compressible fluids with density-dependent
viscosities are considered in the present paper. These equations, in
particular, include the ones which are rigorously derived recently as the
Saint-Venant system for the motion of shallow water, from the Navier-Stokes
system for incompressible flows with a moving free surface [14]. These
compressible systems are degenerate when vacuum state appears. We study
initial-boundary-value problems for such systems for both bounded spatial
domains or periodic domains. The dynamics of weak solutions and vacuum states
are investigated rigorously.
  First, it is proved that the entropy weak solutions for general large initial
data satisfying finite initial entropy exist globally in time. Next, for more
regular initial data, there is a global entropy weak solution which is unique
and regular with well-defined velocity field for short time, and the interface
of initial vacuum propagates along particle path during this time period. Then,
it is shown that for any global entropy weak solution, any (possibly existing)
vacuum state must vanish within finite time. The velocity (even if regular
enough and well-defined) blows up in finite time as the vacuum states vanish.
Furthermore, after the vanishing of vacuum states, the global entropy weak
solution becomes a strong solution and tends to the non-vacuum equilibrium
state exponentially in time.


title: Calculation of two Belyi pairs

abstract:
  We calculate two Belyi pairs using the properties of Mulase-Penkava
differential. Details are provided including accurate construction of
coordinates, variables and equations. The calculation is a part of the work
which results in a catalogue arXiv:0710.2658


title:
Relative astrometry of the J=1-0, v=1 and v=2 SiO masers towards R
  Leonis Minoris using VERA

abstract:
  Oxygen-rich Asymptotic Giant Branch (AGB) stars are intense emitters of SiO
and H$_2$O maser lines at 43 (J=1-0, v=1 and 2) and 22 GHz, respectively. VLBI
observations of the maser emission provides a unique tool to sample the
innermost layers of the circumstellar envelopes in AGB stars. Nevertheless, the
difficulties in achieving astrometrically aligned v=1 and v=2 SiO maser maps
have traditionally prevented a unique interpretation of the observations in
terms of physical underlying conditions, which depend on the nature of the SiO
pumping mechanism.
  We have carried out observations of the SiO and H$_2$O maser emission towards
RLMi, using the astrometric capabilities of VERA. Due to the too-weak emission
of the reference calibrator we had to develop a special method to accurately
relate the coordinates for both transitions. We present relative
astrometrically aligned v=1 and v=2 J=1-0 SiO maser maps, at multiple epochs,
and discuss the astrophysical results. The incorporation of astrometric
information into the maps of SiO masers challenges the weak points in the
current theoretical models, which will need further refinements to address the
observations results.


title: First detection of glycolaldehyde outside the Galactic Center

abstract:
  Glycolaldehyde is the simplest of the monosaccharide sugars and is directly
linked to the origin of life. We report on the detection of glycolaldehyde
(CH2OHCHO) towards the hot molecular core G31.41+0.31 through IRAM PdBI
observations at 1.4, 2.1, and 2.9 mm. The CH2OHCHO emission comes from the
hottest (> 300 K) and densest (>2E8 cm^-3) region closest (< 10^4 AU) to the
(proto)stars. The comparison of data with gas-grain chemical models of hot
cores suggests for G31.41+0.31 an age of a few 10^5 yr. We also show that only
small amounts of CO need to be processed on grains in order for existing hot
core gas-grain chemical models to reproduce the observed column densities of
glycolaldehyde, making surface reactions the most feasible route to its
formation.


title: Symmetry, Levitation Effect and Size Dependent Diffusivity Maximum

abstract:
  Diffusion invariably involves motion within a medium. An universal behavior
observed is that self diffusivity exhibits a maximum as a function of the size
of the diffusant when the diffusant is confined to a medium, as a result of
what is known as the Levitation Effect. Such a maximum in self diffusivity has
been seen in widely differing medium : microporous solids, dense liquids and
close-packed solids, ions in polar solvents, etc. The effect arises because the
forces exerted on the diffusant by the medium in which it is confined is a
minimum for the size of the diffusant for which self diffusivity is a maximum.
We report here simulations on a diatomic species confined to the cages of
zeolite Y. Several different simulations in which the two atoms of the model
diatomic species interact with equal strength(example, $O_2$, the symmetric
case) and with unequal interaction strengths (example, $CO$, asymmetric case)
are modeled here. Further, the bond length of the diatomic species is varied.
Our results for the symmetric case shows that self diffusivity is maximum for a
large enough bond length which fits snugly into the 12-ring window of zeolite
Y. For weakly asymmetric case, a weak maximum is seen as a function of the bond
length of the diatomic species. However, for strongly asymmetric case, no
maximum in self diffusivity is seen for all the bond lengths studied. This
demonstrates close relation between symmetry and the diffusivity maximum and
provides a direct evidence for the need of force cancellation to observe the
Levitation Effect.


title: Brans-Dicke DGP Brane Cosmology

abstract:
  We consider a five dimensional DGP-brane scenario endowed with a
non-minimally coupled scalar field within the context of Brans-Dicke theory.
This theory predicts that the mass appearing in the gravitational potential is
modified by the addition of the mass of the effective intrinsic curvature on
the brane. We also derive the effective four dimensional field equations on a
3+1 dimensional brane where the fifth dimension is assumed to have an orbifold
symmetry. Finally, we discuss the cosmological implications of this setup,
predicting an accelerated expanding universe with a value of the Brans-Dicke
parameter $\omega$ consistent with values resulting from the solar system
observations.


title: Entanglement entropy in lattice gauge theories

abstract:
  We report on the recent progress in theoretical and numerical studies of
entanglement entropy in lattice gauge theories. It is shown that the concept of
quantum entanglement between gauge fields in two complementary regions of space
can only be introduced if the Hilbert space of physical states is extended in a
certain way. In the extended Hilbert space, the entanglement entropy can be
partially interpreted as the classical Shannon entropy of the flux of the gauge
fields through the boundary between the two regions. Such an extension leads to
a reduction procedure which can be easily implemented in lattice simulations by
constructing lattices with special topology. This enables us to measure the
entanglement entropy in lattice Monte-Carlo simulations. On the simplest
example of Z2 lattice gauge theory in (2 + 1) dimensions we demonstrate the
relation between entanglement entropy and the classical entropy of the field
flux. For SU(2) lattice gauge theory in four dimensions, we find a signature of
non-analytic dependence of the entanglement entropy on the size of the region.
We also comment on the holographic interpretation of the entanglement entropy.


title: On the Spectrum of a Quantum Dot with Impurity in the Lobachevsky Plane

abstract:
  A model of a quantum dot with impurity in the Lobachevsky plane is
considered. Relying on explicit formulae for the Green function and the Krein
$Q-$function which have been derived in a previous work we focus on the
numerical analysis of the spectrum. The analysis is complicated by the fact
that the basic formulae are expressed in terms of spheroidal functions with
general characteristic exponents. The effect of the curvature on eigenvalues
and eigenfunctions is investigated. Moreover, there is given an asymptotic
expansion of eigenvalues as the curvature radius tends to infinity (the flat
case limit).


title:
Observation of B0 to Lambda Lambdabar K0 and B0 to Lambda Lambdabar K*0
  at Belle

abstract:
  We study the charmless decays B to Lambda Lambdabar h, where h stands for
pi^+, K^+,K^0,K^{*+}, or K^{*0}, using a 605 fb^{-1} data sample collected at
the Upsilon(4S)resonance with the Belle detector at the KEKB asymmetric energy
e^+ e^- collider. We observe B0 to Lambda Lambdabar K0 and B0 to Lambda
Lambdabar K*0 with branching fractions of (4.76^{+0.84}_{-0.68} (stat.) \pm
0.61 (syst.)) \times 10^{-6} and (2.46^{+0.87}_{-0.72} \pm 0.34) \times
10^{-6}, respectively. The significances of these signals in the threshold-mass
enhanced mass region are 12.4 sigma and 9.3 sigma, respectively. We also update
the branching fraction BF(B+ to Lambda Lambdabar K+) = (3.38^{+0.41}_{-0.36}
\pm 0.41)\times 10^{-6} with better accuracy,and report the following
measurement or 90% confidence level upper limit in the threshold-mass-enhanced
region: BF(B+ to Lambda Lambdabar K*+) = (2.19^{+1.13}_{-0.89} \pm 0.33) \times
10^{-6} with 3.7 sigma significance; BF(B+ to Lambda Lambdabar pi+) < 0.94
\times 10^{-6}. A related search for B0 to Lambda Lambdabar D0bar yields a
branching fraction BF(B0 to Lambda Lambdabar D0bar) = (1.05_{-0.44}^{+0.57} \pm
0.13)\times 10^{-5}. This may be compared with the large, ~10^{-4}, branching
fraction observed for B0 to p pbar D0bar. The m_{Lambda Lambdabar} enhancements
near threshold and related angular distributions for the observed modes are
also reported.
  PACS:13.25.Hw, 14.40.Nd


title: Ising model on the Apollonian network with node dependent interactions

abstract:
  This work considers an Ising model on the Apollonian network, where the
exchange constant $J_{i,j}\sim1/(k_ik_j)^\mu$ between two neighboring spins
$(i,j)$ is a function of the degree $k$ of both spins. Using the exact
geometrical construction rule for the network, the thermodynamical and magnetic
properties are evaluated by iterating a system of discrete maps that allows for
very precise results in the thermodynamic limit. The results can be compared to
the predictions of a general framework for spins models on scale-free networks,
where the node distribution $P(k)\sim k^{-\gamma}$, with node dependent
interacting constants. We observe that, by increasing $\mu$, the critical
behavior of the model changes, from a phase transition at $T=\infty$ for a
uniform system $(\mu=0)$, to a T=0 phase transition when $\mu=1$: in the
thermodynamic limit, the system shows no exactly critical behavior at a finite
temperature. The magnetization and magnetic susceptibility are found to present
non-critical scaling properties.


title: Optimal Filtering of Malicious IP Sources

abstract:
  How can we protect the network infrastructure from malicious traffic, such as
scanning, malicious code propagation, and distributed denial-of-service (DDoS)
attacks? One mechanism for blocking malicious traffic is filtering: access
control lists (ACLs) can selectively block traffic based on fields of the IP
header. Filters (ACLs) are already available in the routers today but are a
scarce resource because they are stored in the expensive ternary content
addressable memory (TCAM).
  In this paper, we develop, for the first time, a framework for studying
filter selection as a resource allocation problem. Within this framework, we
study five practical cases of source address/prefix filtering, which correspond
to different attack scenarios and operator's policies. We show that filter
selection optimization leads to novel variations of the multidimensional
knapsack problem and we design optimal, yet computationally efficient,
algorithms to solve them. We also evaluate our approach using data from
Dshield.org and demonstrate that it brings significant benefits in practice.
Our set of algorithms is a building block that can be immediately used by
operators and manufacturers to block malicious traffic in a cost-efficient way.


title:
Simultaneous multi-frequency single-pulse properties of AXP XTE
  J1810-197

abstract:
  We have used the 76-m Lovell, 94-m equivalent WSRT and 100-m Effelsberg radio
telescopes to investigate the simultaneous single-pulse properties of the radio
emitting magnetar AXP XTE J1810-197 at frequencies of 1.4, 4.8 and 8.35 GHz
during May and July 2006. We study the magnetar's pulse-energy distributions
which are found to be very peculiar as they are changing on time-scales of days
and cannot be fit by a single statistical model. The magnetar exhibits strong
spiky single giant-pulse-like subpulses, but they do not fit the definition of
the giant pulse or giant micropulse phenomena. Measurements of the
longitude-resolved modulation index reveal a high degree of intensity
fluctuations on day-to-day time-scales and dramatic changes across pulse phase.
We find the frequency evolution of the modulation index values differs
significantly from what is observed in normal radio pulsars. We find that no
regular drifting subpulse phenomenon is present at any of the observed
frequencies at any observing epoch. However, we find a quasi-periodicity of the
subpulses present in the majority of the observing sessions. A correlation
analysis indicates a relationship between components from different
frequencies. We discuss the results of our analysis in light of the emission
properties of normal radio pulsars and a recently proposed model which takes
radio emission from magnetars into consideration.


title:
Specializations of multigradings and the arithmetical rank of lattice
  ideals

abstract:
  In this article we study specializations of multigradings and apply them to
the problem of the computation of the arithmetical rank of a lattice ideal
$I_{L_{\mathcal{G}}} \subset K[x_{1},...,x_{n}]$. The arithmetical rank of
$I_{L_{\mathcal{G}}}$ equals the $\mathcal{F}$-homogeneous arithmetical rank of
$I_{L_{\mathcal{G}}}$, for an appropriate specialization $\mathcal{F}$ of
$\mathcal{G}$. To the lattice ideal $I_{L_{\mathcal{G}}}$ and every
specialization $\mathcal{F}$ of $\mathcal{G}$ we associate a simplicial
complex. We prove that combinatorial invariants of the simplicial complex
provide lower bounds for the $\mathcal{F}$-homogeneous arithmetical rank of
$I_{L_{\mathcal{G}}}$.


title: Giant magnetoresistance in ultra-small Graphene based devices

abstract:
  By computing spin-polarized electronic transport across a finite zigzag
graphene ribbon bridging two metallic graphene electrodes, we demonstrate, as a
proof of principle, that devices featuring 100% magnetoresistance can be built
entirely out of carbon. In the ground state a short zig-zag ribbon is an
antiferromagnetic insulator which, when connecting two metallic electrodes,
acts as a tunnel barrier that suppresses the conductance. Application of a
magnetic field turns the ribbon ferromagnetic and conducting, increasing
dramatically the current between electrodes. We predict large magnetoresistance
in this system at liquid nitrogen temperature and 10 Tesla or at liquid helium
temperature and 300 Gauss.


title:
Two-Dimensional Patterns with Distinct Differences -- Constructions,
  Bounds, and Maximal Anticodes

abstract:
  A two-dimensional grid with dots is called a \emph{configuration with
distinct differences} if any two lines which connect two dots are distinct
either in their length or in their slope. These configurations are known to
have many applications such as radar, sonar, physical alignment, and
time-position synchronization. Rather than restricting dots to lie in a square
or rectangle, as previously studied, we restrict the maximum distance between
dots of the configuration; the motivation for this is a new application of such
configurations to key distribution in wireless sensor networks. We consider
configurations in the hexagonal grid as well as in the traditional square grid,
with distances measured both in the Euclidean metric, and in the Manhattan or
hexagonal metrics.
  We note that these configurations are confined inside maximal anticodes in
the corresponding grid. We classify maximal anticodes for each diameter in each
grid. We present upper bounds on the number of dots in a pattern with distinct
differences contained in these maximal anticodes. Our bounds settle (in the
negative) a question of Golomb and Taylor on the existence of honeycomb arrays
of arbitrarily large size. We present constructions and lower bounds on the
number of dots in configurations with distinct differences contained in various
two-dimensional shapes (such as anticodes) by considering periodic
configurations with distinct differences in the square grid.


title: Binomial generation of the radical of a lattice ideal

abstract:
  Let $I_{L, \rho}$ be a lattice ideal. We provide a necessary and sufficient
criterion under which a set of binomials in $I_{L, \rho}$ generate the radical
of $I_{L, \rho}$ up to radical. We apply our results to the problem of
determining the minimal number of generators of $I_{L, \rho}$ or of the
$rad(I_{L, \rho})$ up to radical.


title:
Unusual field dependence of radio frequency magnetoimpedance in
  La0.67Ba0.33MnO3

abstract:
  We have investigated magnetic field dependence of the ac magnetoresitance and
the magnetoreactance in La0.67Ba0.33MnO3 over a wide frequency range from f = 0
to 30 MHz. A huge ac magnetoresistance of 55 % at f = 15 MHz in a small
magnetic field of H = 100 mT and magnetoreactance of 80 % at 2 MHz are
reported. We show distinct field dependence of the magnetoreactance and the
magnetoresistance with increasing frequency. It is shown that while the ac
magnetoresistance is negative and shows a single peak at the origin for all
frequencies except f = 30 MHz, the single peak in the magnetoreactance
transforms into a valley at the origin and simultaneously a double peak
develops . The position of the double peak increases in field with increasing
frequency. Eventually, the sign of the magnetoreactance changes from negative
to positive. Our results indicate possible occurrence of the ferromagneic
resonance in MHz range in unsaturated manganite.


title: Applications of Nash's Theorem to Cosmology

abstract:
  The cosmological constant problem is seen as a symptom of the ambiguity of
the Riemann curvature in general relativity. The solution of that ambiguity
provided by Nash's theorem on gravitational perturbations along extra
dimensions eliminate the direct comparison between the vacuum energy density
and Einstein's cosmological constant, besides being compatible with the
formation of structures and the accelerated expansion of the universe.


title: Heat flow of the Earth and resonant capture of solar 57-Fe axions

abstract:
  In a very conservative approach, supposing that total heat flow of the Earth
is exclusively due to resonant capture inside the Earth of axions, emitted by
57-Fe nuclei on Sun, we obtain limit on mass of hadronic axion: m_a<1.8 keV.
Taking into account release of heat from decays of 40-K, 232-Th, 238-U inside
the Earth, this estimation could be improved to the value: m_a<1.6 keV. Both
the values are less restrictive than limits set in devoted experiments to
search for 57-Fe axions (m_a<216-745 eV), but are much better than limits
obtained in experiments with 83-Kr (m_a<5.5 keV) and 7-Li (m_a<13.9-32 keV).


title: Parton Rescatterings in Large-x Nuclear Suppression at RHIC

abstract:
  We demonstrate that strong suppression of the relative production rate
(d+Au)/(p+p) of inclusive high-pT hadrons at forward rapidities observed at
RHIC is due to parton multiple rescatterings in nuclear matter. The light-cone
dipole approach-based calculations are in a good agreement with BRAHMS and STAR
data. They also indicate a significant nuclear suppression at midrapidities
with a weak onset of the coherence effects. This prediction is supported by the
preliminary d+Au data from the PHENIX Collaboration. Moreover, since similar
suppression pattern is also expected to show up at lower energies where effects
of parton saturation are not expected, we are able to exclude from the
interpretation of observed phenomena models based on the Color Glass
Condensate.


title: P^r-scrolls arising from Brill-Noether theory and K3-surfaces

abstract:
  In this paper we study examples of P^r-scrolls defined over primitively
polarized K3 surfaces S of genus g, which arise from Brill-Noether theory of
the general curve in the primitive linear system on S and from classical
Lazarsfeld's results in.
  We show that such scrolls form an open dense subset of a component H of their
Hilbert scheme; moreover, we study some properties of H (e.g. smoothness,
dimensional computation, etc.) just in terms of the moduli space of such K3's
and of the moduli space of semistable torsion-free sheaves of a given
Mukai-vector on S.
  One of the motivation of this analysis is to try to introducing the use of
projective geometry and degeneration techniques in order to studying possible
limits of semistable vector-bundles of any rank on a general K3 as well as
Brill-Noether theory of vector-bundles on suitable degenerations of projective
curves.
  We conclude the paper by discussing some applications to the Hilbert schemes
of geometrically ruled surfaces whose base curve has general moduli.


title: Cosmic Acceleration and Extra Dimensions

abstract:
  Brane cosmology presents many interesting possibilities including: phantom
acceleration (w<-1), self-acceleration, unification of dark energy with
inflation, transient acceleration, loitering cosmology, new singularities at
which the Hubble parameter remains finite, cosmic mimicry, etc. The existence
of a time-like extra dimension can result in a singularity-free cyclic
cosmology.


title:
Symmetry-allowed phase transitions realized by the two-dimensional fully
  frustrated XY class

abstract:
  A 2D Fully Frustrated XY(FFXY) class of models is shown to contain a new
groundstate in addition to the checkerboard groundstates of the standard 2D
FFXY model. The spin configuration of this additional groundstate is obtained.
Associated with this groundstate there are additional phase transitions. An
order parameter accounting for these new transitions is proposed. The
transitions associated with the new order parameter are suggested to be similar
to a 2D liquid-gas transition which implies Z_2-Ising like transitions. This
suggests that the class of 2D FFXY models belongs within a U(1) x Z_2 x
Z_2-designation of possible transitions, which implies that there are seven
different possible single and combined transitions. MC-simulations for the
generalized fully frustrated XY (GFFXY) model on a square lattice are used to
investigate which of these possibilities can be realized in practice: five of
the seven are encountered. Four critical points are deduced from the
MC-simulations, three consistent with central charge c=3/2 and one with c=1.
The implications for the standard 2D FFXY-model are discussed in particular
with respect to the long standing controversy concerning the characteristics of
its phase transitions.


title:
Riemannian geometric realizations for Ricci tensors of generalized
  algebraic curvature operators

abstract:
  We examine questions of geometric realizability for algebraic structures
which arise naturally in affine and Riemannian geometry. Suppose given an
algebraic curvature operator R at a point P of a manifold M and suppose given a
real analytic (resp. C-k for finite k at least 2) pseudo-Riemannian metric on M
defined near P. We construct a torsion free real analytic (resp. C-k)
connection D which is defined near P on the tangent bundle of M whose curvature
operator is the given operator R at P and so that D has constant scalar
curvature. We show that if R is Ricci symmetric, then D can be chosen to be
Ricci symmetric; if R has trace free Ricci tensor, then D can be chosen to have
trace free Ricci tensor; if R is Ricci alternating, then D can be chosen to be
Ricci alternating.


title: A minimal set of top anomalous couplings

abstract:
  We simplify the general form of the fermion-fermion-gauge boson interactions
generated by dimension-six gauge-invariant effective operators by using the
equations of motion to remove redundant operators. It is found that the most
general vertex for off-shell fermions fi, fj and an off-shell boson
V=W,Z,gamma,g only involves gamma^mu and sigma^{mu nu} q_nu terms, with
q=p_i-p_j. Examples are given for the Wtb, Ztt, gamma tt and gtt interactions,
whose general expression is greatly simplified with respect to previous results
in the literature. The same arguments apply to top flavour-changing neutral
interactions with the Z boson, the photon or the gluon, which can also be
parameterised in full generality with only gamma^mu and sigma^{mu nu} q_nu
couplings. Explicit expressions are given for these vertices in terms of
dimension-six gauge-invariant operators. We also discuss how effective operator
coefficients might be determined from eventual measurements of anomalous
couplings.


title:
Topology induced anomalous defect production by crossing a quantum
  critical point

abstract:
  We study the influence of topology on the quench dynamics of a system driven
across a quantum critical point. We show how the appearance of certain edge
states, which fully characterise the topology of the system, dramatically
modifies the process of defect production during the crossing of the critical
point. Interestingly enough, the density of defects is no longer described by
the Kibble-Zurek scaling, but determined instead by the non-universal
topological features of the system. Edge states are shown to be robust against
defect production, which highlights their topological nature.


title: Hidden-sector fermions in two or three generations

abstract:
  We recall the argument based both on Dirac's square root procedure and an
intrinsic Pauli principle that sterile fundamental fermions with spin 1/2
(sterinos) ought to appear in Nature in two or three generations, while the
Standard Model leptons and quarks are forced to develop three generations.
Then, sterinos in two or three generations, if stable, lead to the cold dark
matter in two or three species, when the thermal freeze-out mechanism works
properly. If they are stable only in their lowest generation, the so called
exciting cold dark matter may be formed.


title: Relevant energy scale of color confinement from lattice QCD

abstract:
  We propose a new lattice framework to extract the relevant gluonic energy
scale of QCD phenomena which is based on a "cut" on link variables in momentum
space. This framework is expected to be broadly applicable to all lattice QCD
calculations. Using this framework, we quantitatively determine the relevant
energy scale of color confinement, through the analyses of the quark-antiquark
potential and meson masses. The relevant energy scale of color confinement is
found to be below 1.5 GeV in the Landau gauge. In fact, the string tension is
almost unchanged even after cutting off the high-momentum gluon component above
1.5 GeV. When the relevant low-energy region is cut, the quark-antiquark
potential is approximately reduced to a Coulomb-like potential, and each meson
becomes a quasi-free quark pair. As an analytical model calculation, we also
investigate the dependence of the Richardson potential on the cut, and find the
consistent behavior with the lattice result.


title:
Loss of charge in a Lienard Wiechert Potential implies a hidden
  contraction

abstract:
  In the paper it is demonstrated that a point-like dust in a Lienard-Wiechert
potential under the constraint of axial gauging must change its velocity
'beyond' a mere change in direction when a fraction of charge is lost at a
point in space-time. The existence of a postulated hidden entity that
introduces a Lorentz contraction avoids a concealed contradiction in repeated
experimentation with charge loss in point-like dust.


title:
Asymptotics for a special solution of the thirty fourth Painleve
  equation

abstract:
  In a previous paper we studied the double scaling limit of unitary random
matrix ensembles of the form Z_{n,N}^{-1} |\det M|^{2\alpha} e^{-N \Tr V(M)} dM
with \alpha > -1/2. The factor |\det M|^{2\alpha} induces critical eigenvalue
behavior near the origin. Under the assumption that the limiting mean
eigenvalue density associated with V is regular, and that the origin is a right
endpoint of its support, we computed the limiting eigenvalue correlation kernel
in the double scaling limit as n, N \to \infty such that n^{2/3}(n/N-1) = O(1)
by using the Deift-Zhou steepest descent method for the Riemann-Hilbert problem
for polynomials on the line orthogonal with respect to the weight |x|^{2\alpha}
e^{-NV(x)}. Our main attention was on the construction of a local parametrix
near the origin by means of the \psi-functions associated with a distinguished
solution u_{\alpha} of the Painleve XXXIV equation. This solution is related to
a particular solution of the Painleve II equation, which however is different
from the usual Hastings-McLeod solution. In this paper we compute the
asymptotic behavior of u_{\alpha}(s) as s \to \pm \infty. We conjecture that
this asymptotics characterizes u_{\alpha} and we present supporting arguments
based on the asymptotic analysis of a one-parameter family of solutions of the
Painleve XXXIV equation which includes u_{\alpha}. We identify this family as
the family of tronquee solutions of the thirty fourth Painleve equation.


title: S-numbers of elementary operators on C*-algebras

abstract:
  We study the s-numbers of elementary operators acting on C*-algebras. The
main results are the following: If $\tau$ is any tensor norm and $a,b\in B(H)$
are such that the sequences $s(a),s(b)$ of their singular numbers belong to a
stable Calkin space $J$ then the sequence of approximation numbers of
$a\otimes_{\tau} b$ belongs to $J$. If $A$ is a C*-algebra, $J$ is a stable
Calkin space, $s$ is an s-number function, and $a_i, b_i \in A,$ $i=1,...,m$
are such that $s(\pi(a_i)), s(\pi(b_i)) \in J$, $i=1,...,m$ for some faithful
representation $\pi$ of $A$ then $s(\sum_{i=1}^{m} M_{a_i,b_i})\in J$. The
converse implication holds if and only if the ideal of compact elements of $A$
has finite spectrum. We also prove a quantitative version of a result of
Ylinen.


title:
Slope analysis for elastic proton-proton and proton-antiproton
  scattering

abstract:
  The diffraction slope parameter is investigated for elastic proton-proton and
proton-antiproton scattering based on the all available experimental data at
intermediate square of momentum transfer in the main. Energy dependence of the
elastic diffraction slope is approximated by various analytic functions in a
model-independent fashion. The expanded standard logarithmic approximations
allow to describe experimental slopes in all available energy range at
qualitative level reasonably. Various fitting functions differ from each other
both in low energy and very high energy domains. Predictions for diffraction
slope parameter are obtained for elastic proton-proton scattering at NICA, RHIC
and LHC energies, for proton-antiproton elastic reaction in FAIR energy domain
for various approximation functions at intermediate square of momentum
transfer. Difference of nuclear slopes for proton-antiproton and proton-proton
scattering is investigated in wide momentum transfer range also.


title: Derivations of the Moyal Algebra and Noncommutative Gauge Theories

abstract:
  The differential calculus based on the derivations of an associative algebra
underlies most of the noncommutative field theories considered so far. We
review the essential properties of this framework and the main features of
noncommutative connections in the case of non graded associative unital
algebras with involution. We extend this framework to the case of
${\mathbb{Z}}_2$-graded unital involutive algebras. We show, in the case of the
Moyal algebra or some related ${\mathbb{Z}}_2$-graded version of it, that the
derivation based differential calculus is a suitable framework to construct
Yang-Mills-Higgs type models on Moyal (or related) algebras, the covariant
coordinates having in particular a natural interpretation as Higgs fields. We
also exhibit, in one situation, a link between the renormalisable NC
$\phi^4$-model with harmonic term and a gauge theory model. Some possible
consequences of this are briefly discussed.


title:
Measuring the proton spectrum in neutron decay - latest results with
  aSPECT

abstract:
  The retardation spectrometer aSPECT was built to measure the shape of the
proton spectrum in free neutron decay with high precision. This allows us to
determine the antineutrino electron angular correlation coefficient a. We aim
for a precision more than one order of magnitude better than the present best
value, which is Delta_a /a = 5%.
  In a recent beam time performed at the Institut Laue-Langevin during April /
May 2008 we reached a statistical accuracy of about 2% per 24 hours measurement
time. Several systematic effects were investigated experimentally. We expect
the total relative uncertainty to be well below 5%.


title:
Application of Multihomogeneous Covariants to the Essential Dimension of
  Finite Groups

abstract:
  We investigate essential dimension of finite groups over arbitrary fields and
give a systematic treatment of multihomogenization, introduced by H.Kraft,
G.Schwarz and the author. We generalize the central extension theorem of Buhler
and Reichstein and use multihomogenization to substitute and generalize the
stack-involved part of the theorem of Karpenko and Merkurjev about the
essential dimension of p-groups. One part of this paper is devoted to the study
of completely reducible faithful representations. Amongst results concerning
faithful representations of minimal dimension there is a computation of the
minimal number of irreducible components needed for a faithful representation.


title:
Many-body theory for systems with particle conversion: Extending the
  multiconfigurational time-dependent Hartree method

abstract:
  We derive a multiconfigurational time-dependent Hartree theory for systems
with particle conversion. In such systems particles of one kind can convert to
another kind and the total number of particles varies in time. The theory thus
extends the scope of the available and successful multiconfigurational
time-dependent Hartree methods -- which were solely formulated for and applied
to systems with a fixed number of particles -- to new physical systems and
problems. As a guiding example we treat explicitly a system where bosonic atoms
can combine to form bosonic molecules and vise versa. In the theory for
particle conversion, the time-dependent many-particle wavefunction is written
as a sum of configurations made of a different number of particles, and
assembled from sets of atomic and molecular orbitals. Both the expansion
coefficients and the orbitals forming the configurations are time-dependent
quantities that are fully determined according to the Dirac-Frenkel
time-dependent variational principle. Particular attention is paid to the
reduced density matrices of the many-particle wavefunction that appear in the
theory and enter the equations of motion. There are two kinds of reduced
density matrices: particle-conserving reduced density matrices which directly
only couple configurations with the same number of atoms and molecules, and
particle non-conserving reduced density matrices which couple configurations
with a different number of atoms and molecules. Closed-form and compact
equations of motion are derived for contact as well as general two-body
interactions, and their properties are analyzed and discussed.


title: The Horrocks correspondence for coherent sheaves on projective spaces

abstract:
  We establish an equivalence between the stable category of coherent sheaves
(satisfying a mild restriction) on a projective space and the homotopy category
of a certain class of minimal complexes of free modules over the exterior
algebra Koszul dual to the homogeneous coordinate algebra of the projective
space. We also relate these complexes to the Tate resolutions of the respective
sheaves. In this way, we extend from vector bundles to coherent sheaves the
results of Coand\u{a} and Trautmann [Trans. AMS 385 (2005)], which interpret in
terms of the BGG correspondence the results of Trautmann [Math. Ann. 237
(1978)] about the correspondence of Horrocks [Proc. London. Math. Soc. 14
(1964)], [Asterisque 71-72 (1980)]. We also give direct proofs of the BGG
correspondences for graded modules and for coherent sheaves and of the theorem
of Eisenbud, Floystad and Schreyer [Trans. AMS 355 (2003)] describing the
linear part of the Tate resolution associated to a coherent sheaf. Moreover, we
provide an explicit description of the quotient of the Tate resolution by its
linear strand corresponding to the module of global sections of the various
twists of the sheaf.


title: Fluctuation Diffusion in Quark matter

abstract:
  A unique transition state is a precursor of quark matter formation. We point
out the hallmarks of this state and evaluate the quark diffusion coefficient in
the vicinity of the QCD critical line.


title: Levy flights, dynamical duality and fractional quantum mechanics

abstract:
  We discuss dual time evolution scenarios which, albeit running according to
the same real time clock, in each considered case may be mapped among each
other by means of an analytic continuation in time. This dynamical duality is a
generic feature of diffusion-type processes. Technically that involves a
familiar transformation from a non-Hermitian Fokker-Planck operator to the
Hermitian operator (e.g. Schroedinger Hamiltonian), whose negative is known to
generate a dynamical semigroup. Under suitable restrictions upon the generator,
the semigroup admits an analytic continuation in time and ultimately yields
dual motions. We analyze an extension of the duality concept to Levy flights,
free and with an external forcing, while presuming that the corresponding
evolution rule (fractional dynamical semigroup) is a dual counterpart of the
quantum motion (fractional unitary dynamics).

categories: cond-mat.stat-mech math-ph math.MP physics.data-an quant-ph


title: Rescaled Levy-Loewner hulls and random growth

abstract:
  We consider radial Loewner evolution driven by unimodular L\'evy processes.
We rescale the hulls of the evolution by capacity, and prove that the weak
limit of the rescaled hulls exists. We then study a random growth model
obtained by driving the Loewner equation with a compound Poisson process. The
process involves two real parameters: the intensity of the underlying Poisson
process and a localization parameter of the Poisson kernel which determines the
jumps. A particular choice of parameters yields a growth process similar to the
Hastings-Levitov $\rm{HL}(0)$ model. We describe the asymptotic behavior of the
hulls with respect to the parameters, showing that growth tends to become
localized as the jump parameter increases. We obtain deterministic evolutions
in one limiting case, and Loewner evolution driven by a unimodular Cauchy
process in another. We show that the Hausdorff dimension of the limiting
rescaled hulls is equal to 1. Using a different type of compound Poisson
process, where the Poisson kernel is replaced by the heat kernel, as driving
function, we recover one case of the aforementioned model and
$\rm{SLE}(\kappa)$ as limits.


title:
The curvature of the critical surface (m_ud,m_s)^{crit}(mu): a progress
  report

abstract:
  At zero chemical potential mu, the order of the temperature-driven
quark-hadron transition depends on the quark masses m_{u,d} and m_s. Along a
critical line bounding the region of first-order chiral transitions in the
(m_{u,d},m_s) plane, this transition is second order. When the chemical
potential is turned on, this critical line spans a surface, whose curvature at
mu=0 can be determined without any sign or overlap problem. Our past
measurements on N_t=4 lattices suggest that the region of quark masses for
which the transition is first order shrinks when mu is turned on, which makes a
QCD chiral critical point at small mu/T unlikely. We present results from two
complementary methods, which can be combined to yield information on
higher-order terms. It turns out that the O(mu^4) term reinforces the effect of
the leading O(mu^2) term, and there is strong evidence that the O(mu^6) and
O(mu^8) terms do as well. We also report on simulations underway, where the
strange quark is given its physical mass, and where the lattice spacing is
reduced.


title: On the Complexity of Matroid Isomorphism Problem

abstract:
  We study the complexity of testing if two given matroids are isomorphic. The
problem is easily seen to be in $\Sigma_2^p$. In the case of linear matroids,
which are represented over polynomially growing fields, we note that the
problem is unlikely to be $\Sigma_2^p$-complete and is $\co\NP$-hard. We show
that when the rank of the matroid is bounded by a constant, linear matroid
isomorphism, and matroid isomorphism are both polynomial time many-one
equivalent to graph isomorphism. We give a polynomial time Turing reduction
from graphic matroid isomorphism problem to the graph isomorphism problem.
Using this, we are able to show that graphic matroid isomorphism testing for
planar graphs can be done in deterministic polynomial time. We then give a
polynomial time many-one reduction from bounded rank matroid isomorphism
problem to graphic matroid isomorphism, thus showing that all the above
problems are polynomial time equivalent. Further, for linear and graphic
matroids, we prove that the automorphism problem is polynomial time equivalent
to the corresponding isomorphism problems. In addition, we give a polynomial
time membership test algorithm for the automorphism group of a graphic matroid.


title: Constraining Post-Newtonian f(R) Gravity in the Solar System

abstract:
  We consider some models of f(R) gravity that can be used to describe, in a
suitable weak-field limit, the gravitational field of the Sun. Using a
perturbative approach, we focus on the impact that the modifications of the
gravitational field, due to the non-linearity of the gravity Lagrangian, have
on the Solar System dynamics. We compare the theoretical predictions for the
precession of the longitude of the pericentre $\varpi$ of a test particle with
the corrections to the standard Newtonian-Einsteinian precessions of the
longitudes of perihelia of some planets of the Solar System recently estimated
by E.V. Pitjeva by fitting large data sets with various versions of the EPM
ephemerides.


title: On the localization principle for the automorphisms of pseudoellipsoids

abstract:
  We show that Alexander's extendibility theorem for a local automorphism of
the unit ball is valid also for a local automorphism $f$ of a pseudoellipsoid
$\E^n_{(p_1, ..., p_{k})} \= \{z \in \C^n : \sum_{j= 1}^{n - k}|z_j|^2 +
|z_{n-k+1}|^{2 p_1} + ... + |z_n|^{2 p_{k}} < 1 \}$, provided that $f$ is
defined on a region $\U \subset \E^n_{(p)}$ such that: i) $\partial \U \cap
\partial \E^n_{(p)}$ contains an open set of strongly pseudoconvex points; ii)
$\U \cap \{z_i = 0 \} \neq \emptyset$ for any $n-k +1 \leq i \leq n$. By the
counterexamples we exhibit, such hypotheses can be considered as optimal.


title:
Mechanism of single-spin asymmetries generation in the inclusive hadron
  processes

abstract:
  We discuss a nonperturbative mechanism for generation of the single-spin
asymmetries in hadron interactions. It is based on the chiral quark model
combined with unitarity and impact parameter picture and provides explanation
for the experimental regularities observed under the measurements of the spin
asymmetries.


title:
Nature of the Nodal Kink in Angle-Resolved Photoemission Spectra of
  Cuprate Superconductors

abstract:
  The experimental finding of an ubiquitous kink in the nodal direction of
angle-resolved photoemission spectroscopies of superconducting cuprates has
been reproduced theoretically. Our model is built upon the Migdal-Eliashberg
theory for the electron self-energy within the phonon-coupling scenario.
Following this perturbative approach, a numerical evaluation of the bare band
dispersion energy in terms of the electron-phonon coupling parameter $\lambda$
allows a unified description of the nodal-kink effect. Our study reveals that
distinction between $\lambda$ and the technically defined mass-enhancement
parameter $\lambda^{*}$ is relevant for the quantitative description of data,
as well as for a meaningful interpretation of previous studies.
  A remarkable agreement between theory and experiment has been achieved for
different samples and at different doping levels. The full energy spectrum is
covered in the case of LSCO, Bi2212 and overdoped Y123. In the case of
underdoped Y123, the model applies to the low energy region (close to Fermi
level).


title:
Topological Phases of Noncentrosymmetric Superconductors: Edge States,
  Majorana Fermions, and the Non-Abelian Statistics

abstract:
  The existence of edge states and zero energy modes in vortex cores is a
hallmark of topologically nontrivial phases realized in various condensed
matter systems such as the fractional quantum Hall states, p+ip
superconductors, and Z_2 insulators (quantum spin Hall state). We examine this
scenario for two dimensional noncentrosymmetric superconductors which allow the
parity-mixing of Cooper pairs. It is found that even when the s-wave pairing
gap is nonzero, provided that the superconducting gap of spin-triplet pairs is
larger than that of spin-singlet pairs, gapless edge states and zero energy
Majorana modes in vortex cores emerge, characterizing topological order.
Furthermore, it is shown that for Rashba superconductors, the quantum spin Hall
effect produced by gapless edge states exists even under an applied magnetic
field which breaks time-reversal symmetry provided that the field direction is
perpendicular to the propagating direction of the edge modes. This result
making a sharp contrast to the Z_2 insulator is due to an accidental symmetry
inherent in the Rashba model. It is also demonstrated that in the case with
magnetic fields, the non-Abelian statistics of vortices is possible under a
particular but realistic condition.


title: Quantum computation with doped silicon cavities

abstract:
  We propose a quantum computer architecture involving substitutional donors in
photonic-crystal silicon cavities and the optical initialization, manipulation,
and detection processes already demonstrated in ion traps and other atomic
systems. Our scheme considerably simplifies the implementation of the building
blocks for the successful operation of silicon-based solid-state quantum
computers, including positioning of the donors, realization of one- and
two-qubit gates, initialization and readout of the qubits. Detailed
consideration of the processes involved, using state-of-the-art values for the
relevant parameters, indicates that this architecture might lead to errors per
gate compatible with scalable quantum computation.


title: Topology Change from (Heterotic) Narain T-Duality

abstract:
  We consider Narain T-duality on a nontrivially fibered n-torus bundle in the
presence of a topologically nontrivial NS H flux. The action of the duality
group on the topology and H flux of the corresponding type II and heterotic
string backgrounds is determined. The topology change is specialized to the
case of supersymmetric T^2-fibered torsional string backgrounds with nontrivial
H flux. We prove that it preserves the global tadpole condition in the total
space as well as on the base of the torus fibration. We find that some of these
T-dualities exchange half of the field strength of an unbroken U(1) gauge
symmetry with the anti-selfdual part of the curvature of a physical circle
fibration. We verify that such T-dualities indeed exchange the supersymmetry
condition for the circle bundle with that of the gauge bundle.


title:
Virtual Compton Scattering and Neutral Pion Electroproduction in the
  Resonance Region up to the Deep Inelastic Region at Backward Angles

abstract:
  We have made the first measurements of the virtual Compton scattering (VCS)
process via the H$(e,e'p)\gamma$ exclusive reaction in the nucleon resonance
region, at backward angles. Results are presented for the $W$-dependence at
fixed $Q^2=1$ GeV$^2$, and for the $Q^2$-dependence at fixed $W$ near 1.5 GeV.
The VCS data show resonant structures in the first and second resonance
regions. The observed $Q^2$-dependence is smooth. The measured ratio of
H$(e,e'p)\gamma$ to H$(e,e'p)\pi^0$ cross sections emphasizes the different
sensitivity of these two reactions to the various nucleon resonances. Finally,
when compared to Real Compton Scattering (RCS) at high energy and large angles,
our VCS data at the highest $W$ (1.8-1.9 GeV) show a striking $Q^2$-
independence, which may suggest a transition to a perturbative scattering
mechanism at the quark level.


title:
Hydrodynamical description of a hadron-quark first-order phase
  transition

abstract:
  Solutions of hydrodynamical equations are presented for the equation of state
of the Var der Waals type allowing for the first order phase transition.
Attention is focused on description of the hadron-quark phase transition in
heavy ion collisions. It is shown that fluctuations dissolve and grow as if the
fluid is effectively very viscous. Even in spinodal region germs are growing
slowly due to viscosity and critical slowing down. This prevents enhancement of
fluctuations in the near-critical region, which is frequently considered as a
signal of the critical point in heavy ion collisions.


title:
Relativistic static thin dust disks with an inner edge: An infinite
  family of new exact solutions

abstract:
  An infinite family of new exact solutions of the Einstein vacuum equations
for static and axially symmetric spacetimes is presented. All the metric
functions of the solutions are explicitly computed and the obtained expressions
are simply written in terms of oblate spheroidal coordinates. Furthermore, the
solutions are asymptotically flat and regular everywhere, as it is shown by
computing all the curvature scalars. These solutions describe an infinite
family of thin dust disks with a central inner edge, whose energy densities are
everywhere positive and well behaved, in such a way that their energy-momentum
tensor are in fully agreement with all the energy conditions. Now, although the
disks are of infinite extension, all of them have finite mass. The
superposition of the first member of this family with a Schwarzschild black
hole was presented previously [G. A. Gonz\'alez and A. C.
Guti\'errez-Pi\~neres, arXiv: 0811.3002v1 (2008)], whereas that in a subsequent
paper a detailed analysis of the corresponding superposition for the full
family will be presented.


title: On the QALE geometry of Nakajima's metric

abstract:
  We show that on Hilbert scheme of $n$ points on $\C^2$, the hyperk\"ahler
metric construsted by H. Nakajima via hyperk\"ahler reduction is the
Quasi-Asymptotically Locally Euclidean (QALE in short) metric constructed by D.
Joyce.


title: A cofinite universal space for proper actions for mapping class groups

abstract:
  We prove that the mapping class group $\Gamma_{g,n}$ for surfaces of negative
Euler characteristic has a cofinite universal space $\E$ for proper actions
(the resulting quotient is a finite $CW$-complex). The approach is to construct
a truncated Teichmueller space $\T_{g,n}(\epsilon)$ by introducing a lower
bound for the length of shortest closed geodesics and showing that
$\T_{g,n}(\epsilon)$ is a $\Gamma_{g,n}$ equivariant deformation retract of the
Teichmueller space $\T_{g, n}$. The existence of such a cofinite universal
space is important in the study of the cohomology of the group $\gag$. As an
application, we note that there are only finitely many conjugacy classes of
finite subgroups of $\Gamma_{g,n}$. Another application is that the rational
Novikov conjecture in K-theory holds for $\Gamma_{g,n}$.


title:
On the ab initio calculation of CVV Auger spectra in closed-shell
  systems

abstract:
  We propose an ab initio method to evaluate the core-valence-valence (CVV)
Auger spectrum of systems with filled valence bands. The method is based on the
Cini-Sawatzky theory, and aims at estimating the parameters by first-principles
calculations in the framework of density-functional theory (DFT). Photoemission
energies and the interaction energy for the two holes in the final state are
evaluated by performing DFT simulations for the system with varied population
of electronic levels. Transition matrix elements are taken from atomic results.
The approach takes into account the non-sphericity of the density of states of
the emitting atom, spin-orbit interaction in core and valence, and non
quadratic terms in the total energy expansion with respect to fractional
occupation numbers. It is tested on two benchmark systems, Zn and Cu metals,
leading in both cases to L23M45M45 Auger peaks within 2 eV from the
experimental ones. Detailed analysis is presented on the relative weight of the
various contributions considered in our method, providing the basis for future
development. Especially problematic is the evaluation of the hole-hole
interaction for systems with broad valence bands: our method underestimates its
value in Cu, while we obtain excellent results for this quantity in Zn.


title:
The STAGES view of red spirals and dusty red galaxies: Mass-dependent
  quenching of star-formation in cluster infall

abstract:
  We investigate the properties of optically passive spirals and dusty red
galaxies in the A901/2 cluster complex at redshift ~0.17 using restframe
near-UV-optical SEDs, 24 micron IR data and HST morphologies from the STAGES
dataset. The cluster sample is based on COMBO-17 redshifts with an rms
precision of sigma_cz~2000 km/sec. We find that 'dusty red galaxies' and
'optically passive spirals' in A901/2 are largely the same phenomenon, and that
they form stars at a substantial rate, which is only 4x lower than that in blue
spirals at fixed mass. This star formation is more obscured than in blue
galaxies and its optical signatures are weak. They appear predominantly in the
stellar mass range of log M*/Msol=[10,11] where they constitute over half of
the star-forming galaxies in the cluster; they are thus a vital ingredient for
understanding the overall picture of star formation quenching in clusters. We
find that the mean specific SFR of star-forming galaxies in the cluster is
clearly lower than in the field, in contrast to the specific SFR properties of
blue galaxies alone, which appear similar in cluster and field. Such a rich red
spiral population is best explained if quenching is a slow process and
morphological transformation is delayed even more. At log M*/Msol<10, such
galaxies are rare, suggesting that their quenching is fast and accompanied by
morphological change. We note, that edge-on spirals play a minor role; despite
being dust-reddened they form only a small fraction of spirals independent of
environment.


title:
Self-consistent microscopic calculations for non-local transport through
  nanoscale superconductors

abstract:
  We implement self-consistent microscopic calculations in order to describe
out-of-equilibrium non-local transport in normal metal-superconductor-normal
metal hybrid structures in the presence of a magnetic field and for arbitrary
interface transparencies. A four terminal setup simulating usual experimental
situations is described by means of a tight-binding model. We present results
for the self-consistent order parameter and current profiles within the sample.
These profiles illustrate a crossover from a quasi-equilibrium to a strong
non-equilibrium situation when increasing the interface transparencies and the
applied voltages. We analyze in detail the behavior of the non-local
conductance in these two different regimes. While in quasi-equilibrium
conditions this can be expressed as the difference between elastic cotunneling
and crossed Andreev transmission coefficients, in a general situation
additional contributions due to the voltage dependence of the self-consistent
order parameter have to be taken into account. The present results provide a
first step towards a self-consistent theory of non-local transport including
non-equilibrium effects and describe qualitatively a recent experiment [Phys.
Rev. Lett. 97, 237003 (2006)].


title:
Azimuthal dependence of the density distribution in outer galactic discs
  accreting intergalactic flows

abstract:
  AIMS. The amplitude and scaleheight of the Galactic gas disc density are not
axisymmetric against expectations in a self-gravity axisymmetric disc. However,
this lopsidedness can be explained in terms of intergalactic accretion flows,
which produce non-axisymmetric pressure on the disc. This mechanism could be
also responsible for the formation of a warp.
  METHODS. We analytically derive the relationship between the disc density and
the self-gravity and external pressure.
  RESULTS. The same scenario of accretion as we proposed years ago to explain
the formation of the warp explains the azimuthal dependence of the density and
its scaleheight, with minimum/maximum in the positions of maximum amplitude of
the warp (phi=95 deg. and 275 deg.), as expected from its pressure
distribution.


title:
Comment on a recent conjectured solution of the three-dimensional Ising
  model arXiv:0705.1045

abstract:
  In a recent paper published in the Philosophical Magazine [Z.-D. Zhang, Phil.
Mag. 87, 5309-5419 (2007), arXiv:0705.1045], the author advances a conjectured
solution for various properties of the three-dimensional Ising model. Here we
disprove the conjecture and point out the flaws in the arguments leading to the
conjectured expressions.


title: Interpretations of Quantum Mechanics: a critical survey

abstract:
  This brief survey analyzes the epistemological implications about the role of
observer in the interpretations of Quantum Mechanics. As we know, the goal of
most interpretations of quantum mechanics is to avoid the apparent intrusion of
the observer into the measurement process. In the same time, there are implicit
and hidden assumptions about his role. In fact, most interpretations taking as
ontic level one of these fundamental concepts as information, physical law and
matter bring us to new problematical questions. We think, that no
interpretation of the quantum theory can avoid this intrusion until we do not
clarify the nature of observer.


title: Plasma diagnostics using digital holographic interferometry

abstract:
  The advances in Charge Coupled Devices in one hand and the high resolution
measurements of holographic technique on the other hand, we have adopted the
method of digital real-time holographic interferometry for the diagnostics of
high density plasma. The measured values of plasma electron density agree with
the measurements from other techniques.


title:
Inclusive One Jet Production With Multiple Interactions in the Regge
  Limit of pQCD

abstract:
  DIS on a two nucleon system in the regge limit is considered. In this
framework a review is given of a pQCD approach for the computation of the
corrections to the inclusive one jet production cross section at finite number
of colors and discuss the general results.


title: Tilings defined by affine Weyl groups

abstract:
  Let W be a Weyl group, presented as a crystallographic reflection group on a
Euclidean vector space V, and C an open Weyl chamber. In a recent paper,
Waldspurger proved that the images (id-w)(C), for Weyl group elements w, are
all disjoint, and their union is the closed cone spanned by the positive roots.
We show that similarly, if A is the Weyl alcove, the images (id-w)(A), for
affine Weyl group elements w, are all disjoint, and their union is V.


title: Polaron Properties of an Impurity in Bose-Einstein-Condensation

abstract:
  In this paper we study an impurity in Bose-Einstein-Condensate system at
$T=0K$ and suppose the contact forms for boson-boson and boson-impurity
interactions. Using Bogoliubov theory and a further approximation corresponding
to only think over the forward scattering of impurity by bosons, we derive a
reduced Hamiltonian whose form is the same as the Fr\"{o}hlich Hamiltonian for
large polaron. By using Lee-Low-Pines (LLP) theory for large polaron, we obtain
the effective mass of impurity, the phonon number carried by impurity and the
energy related to the existence of impurity. In addition, we also discuss the
valid range for forward-scattering approximation.


title: On bundles related to groupoids of matrix subalgebras

abstract: This paper has been withdrawn by the author.


title: A self-confined Fermi-gas model for nuclear collective motion

abstract:
  The main result of this study consists in working out a microscopic
description of collective motion in hot nuclei, allowing to express the
parameters of a phenomenological collective model in terms of nucleonic
quantities.


title:
Effect of impurity pinning on conduction and specific heat in the
  Luttinger liquid

abstract:
  We study theoretically two effects related to impurity depinning that are
common for 1D Luttinger liquid (LL) and linear-chain CDW conductors. First, we
consider the electron transport through a single impurity in a 1D conducting
channel and study a new regime of conduction related to LL sliding at voltage
above a threshold one. The DC current in this regime is accompanied by
oscillations with frequency $f =I/e$. This resembles the CDW depinning in
linear-chain conductors, the Josephson effect, and the Coulomb blockade.
Second, we found that strong pinning of the LL by impurities leads to a
magnetic field dependence of the low-temperature specific heat similar to that
observed experimentally in CDW compounds. We interpret this in favor of
possibility of formation of the LL in linear-chain compounds.


title:
Fluctuations of company yearly profits versus scaled revenue: Fat tail
  distribution of Levy type

abstract:
  We analyze annual revenues and earnings data for the 500 largest-revenue U.S.
companies during the period 1954-2007. We find that mean year profits are
proportional to mean year revenues, exception made for few anomalous years,
from which we postulate a linear relation between company expected mean profit
and revenue. Mean annual revenues are used to scale both company profits and
revenues. Annual profit fluctuations are obtained as difference between actual
annual profit and its expected mean value, scaled by a power of the revenue to
get a stationary behavior as a function of revenue. We find that profit
fluctuations are broadly distributed having approximate power-law tails with a
Levy-type exponent $\alpha \simeq 1.7$, from which we derive the associated
break-even probability distribution. The predictions are compared with
empirical data.


title: Epitaxial TbMnO3 thin films on SrTiO3 substrates: A structural study

abstract:
  TbMnO$_{3}$ films have been grown under compressive strain on (001)-oriented
SrTiO$_{3}$ crystals. They have an orthorhombic structure and display the (001)
orientation. With increasing thickness, the structure evolves from a more
symmetric (tetragonal) to a less symmetric (bulk-like orthorhombic) structure,
while keeping constant the in-plane compression thereby leaving the
out-of-plane lattice spacing unchanged. The domain microstructure of the films
is also revealed, showing an increasing number of orthorhombic domains as the
thickness is decreased: we directly observe ferroelastic domains as narrow as
4nm. The high density of domain walls may explain the induced ferromagnetism
observed in the films, while both the decreased anisotropy and the small size
of the domains could account for the absence of a ferroelectric spin spiral
phase.


title: Transmit Diversity v. Spatial Multiplexing in Modern MIMO Systems

abstract:
  A contemporary perspective on the tradeoff between transmit antenna diversity
and spatial multiplexing is provided. It is argued that, in the context of most
modern wireless systems and for the operating points of interest, transmission
techniques that utilize all available spatial degrees of freedom for
multiplexing outperform techniques that explicitly sacrifice spatial
multiplexing for diversity. In the context of such systems, therefore, there
essentially is no decision to be made between transmit antenna diversity and
spatial multiplexing in MIMO communication. Reaching this conclusion, however,
requires that the channel and some key system features be adequately modeled
and that suitable performance metrics be adopted; failure to do so may bring
about starkly different conclusions. As a specific example, this contrast is
illustrated using the 3GPP Long-Term Evolution system design.


title:
Bare Action and Regularized Functional Integral of Asymptotically Safe
  Quantum Gravity

abstract:
  Investigations of Quantum Einstein Gravity (QEG) based upon the effective
average action employ a flow equation which does not contain any ultraviolet
(UV) regulator. Its renormalization group trajectories emanating from a
non-Gaussian fixed point define asymptotically safe quantum field theories. A
priori these theories are, somewhat unusually, given in terms of their
effective rather than bare action. In this paper we construct a functional
integral representation of these theories. We fix a regularized measure and
show that every trajectory of effective average actions, depending on an IR
cutoff only, induces an associated trajectory of bare actions which depend on a
UV cutoff. Together with the regularized measure these bare actions give rise
to a functional integral which reproduces the prescribed effective action when
the UV cutoff is removed. In this way we are able to reconstruct the underlying
microscopic ("classical") system and identify its fundamental degrees of
freedom and interactions. The bare action of the Einstein-Hilbert truncation is
computed and its flow is analyzed as an example. Various conceptual issues
related to the completion of the asymptotic safety program are discussed.


title: Multivariate utility maximization with proportional transaction costs

abstract:
  We present an optimal investment theorem for a currency exchange model with
random and possibly discontinuous proportional transaction costs. The
investor's preferences are represented by a multivariate utility function,
allowing for simultaneous consumption of any prescribed selection of the
currencies at a given terminal date. We prove the existence of an optimal
portfolio process under the assumption of asymptotic satiability of the value
function. Sufficient conditions for asymptotic satiability of the value
function include reasonable asymptotic elasticity of the utility function, or a
growth condition on its dual function. We show that the portfolio optimization
problem can be reformulated in terms of maximization of a terminal liquidation
utility function, and that both problems have a common optimizer.