title: Infrared Echoes Reveal the Shock Breakout of the Cas A Supernova

abstract:
  (Condensed form) - The serendipitous discovery of infrared echoes around the
supernova remnant of Cas A by the Spitzer satellite has provided astronomers
with a unique opportunity to study the properties of the echoing material and
the history and nature of the outburst that generated these echoes.
  All the echoes located within a distance of ~15 arcmin from the SN are caused
by the delayed arrival of thermal emission from dust located at a distance of
160 lyr (corresponding to half the adopted age of the remnant) directly behind
the origin of the explosion. The spectra of the echoes are distinct from that
of the general diffuse interstellar medium (ISM) revealing hot silicate grains
that are either stochastically heated to temperatures in excess of ~150 K, or
radiating at an equilibrium temperature of this value. We show that the optical
light curve from the supernova, is not capable of producing such spectra, and
could therefore not have given rise to the echoes. Instead, we find that the
echoes were generated by an intense and short burst of EUV-UV radiation with a
luminosity of ~ 1.5E11 Lsun. The average H-column density of the IR emitting
region in the echoing clouds is about 5E17 cm-2. Taking a burst time of ~1 d
gives a cloud density of ~200 cm-3, typical of dense IR cirrus.


title: Optical Lattice Induced Light Shifts in an Yb Atomic Clock

abstract:
  We present an experimental study of the lattice induced light shifts on the
1S_0-3P_0 optical clock transition (v_clock~518 THz) in neutral ytterbium. The
``magic'' frequency, v_magic, for the 174Yb isotope was determined to be 394
799 475(35)MHz, which leads to a first order light shift uncertainty of 0.38 Hz
on the 518 THz clock transition. Also investigated were the hyperpolarizability
shifts due to the nearby 6s6p 3P_0 - 6s8p 3P_0, 6s8p 3P_2, and 6s5f 3F_2
two-photon resonances at 759.708 nm, 754.23 nm, and 764.95 nm respectively. By
tuning the lattice frequency over the two-photon resonances and measuring the
corresponding clock transition shifts, the hyperpolarizability shift was
estimated to be 170(33) mHz for a linear polarized, 50 uK deep, lattice at the
magic wavelength. In addition, we have confirmed that a circularly polarized
lattice eliminates the J=0 - J=0 two-photon resonance. These results indicate
that the differential polarizability and hyperpolarizability frequency shift
uncertainties in a Yb lattice clock could be held to well below 10^-17.


title: Multivariate stochastic volatility using state space models

abstract:
  A Bayesian procedure is developed for multivariate stochastic volatility,
using state space models. An autoregressive model for the log-returns is
employed. We generalize the inverted Wishart distribution to allow for
different correlation structure between the observation and state innovation
vectors and we extend the convolution between the Wishart and the multivariate
singular beta distribution. A multiplicative model based on the generalized
inverted Wishart and multivariate singular beta distributions is proposed for
the evolution of the volatility and a flexible sequential volatility updating
is employed. The proposed algorithm for the volatility is fast and
computationally cheap and it can be used for on-line forecasting. The methods
are illustrated with an example consisting of foreign exchange rates data of 8
currencies. The empirical results suggest that time-varying correlations can be
estimated efficiently, even in situations of high dimensional data.


title:
Optimized free energies from bidirectional single-molecule force
  spectroscopy

abstract:
  An optimized method for estimating path-ensemble averages using data from
processes driven in opposite directions is presented. Based on this estimator,
bidirectional expressions for reconstructing free energies and potentials of
mean force from single-molecule force spectroscopy - valid for biasing
potentials of arbitrary stiffness - are developed. Numerical simulations on a
model potential indicate that these methods perform better than unidirectional
strategies.


title: Nonlinear Dynamics, Magnitude-Period Formula and Forecasts on Earthquake

abstract:
  Based on the geodynamics, an earthquake does not take place until the
momentum-energy excess a faulting threshold value of rock due to the movement
of the fluid layer under the rock layer and the transport and accumulation of
the momentum. From the nonlinear equations of fluid mechanics, a simplified
nonlinear solution of momentum corresponding the accumulation of the energy
could be derived. Otherwise, a chaos equation could be obtained, in which chaos
corresponds to the earthquake, which shows complexity on seismology, and
impossibility of exact prediction of earthquakes. But, combining the
Carlson-Langer model and the Gutenberg-Richter relation, the magnitude-period
formula of the earthquake may be derived approximately, and some results can be
calculated quantitatively. For example, we forecast a series of earthquakes of
2004, 2009 and 2014, especially in 2019 in California. Combining the Lorenz
model, we discuss the earthquake migration to and fro. Moreover, many external
causes for earthquake are merely the initial conditions of this nonlinear
system.


title: Gas and Dust Associated with the Strange, Isolated, Star BP Piscium

abstract:
  We have carried out a multiwavelength observational campaign demonstrating
some of the remarkable properties of the infrared-bright variable star BP Psc.
Surrounded by a compact dusty, gaseous disk, this little-studied late-G (or
early-K) type star emits about 75% of its detected energy flux at infrared
wavelengths. Evidence for accretion of gas in conjunction with narrow bi-polar
jets and Herbig-Haro objects is apparently consistent with classification of BP
Psc as a pre-main sequence star, as postulated in most previous studies. If
young, then BP Psc would be one of the nearest and oldest known classical T
Tauri stars. However, such an evolutionary classification encounters various
problems that are absent or much less severe if BP Psc is instead a luminosity
class III post-main sequence star. In this case, it would be the first known
example of a first ascent giant surrounded by a massive molecular disk with
accompanying rapid gas accretion and prominent jets and HH objects. In this
model, the genesis of the massive dusty gaseous disk could be a consequence of
the envelopment of a low mass companion star. Properties in the disk may be
conducive to the current formation of planets, a gigayear or more after the
formation of BP Psc itself.


title: Natural Inflation: the status after WMAP 3-year data

abstract:
  The model of Natural Inflation is examined in light of recent 3-year data
from the Wilkinson Microwave Anisotropy Probe and shown to provide a good fit.
The inflaton potential is naturally flat due to shift symmetries, and in the
simplest version takes the form $V(\phi) = \Lambda^4 [1 \pm \cos(N\phi/f)]$.
The model agrees with WMAP3 measurements as long as $f > 0.7 m_{Pl}$ (where
$m_{Pl} = 1.22 \times 10^{19}$GeV) and $\Lambda \sim m_{GUT}$. The running of
the scalar spectral index is shown to be small -- an order of magnitude below
the sensitivity of WMAP3. The location of the field in the potential when
perturbations on observable scales are produced is examined; for $f > 5
m_{Pl}$, the relevant part of the potential is indistinguishable from a
quadratic, yet has the advantage that the required flatness is well-motivated.
Depending on the value of $f$, the model falls into the large field ($f \ge 1.5
m_{Pl}$) or small field ($f < 1.5 m_{Pl}$) classification scheme that has been
applied to inflation models. Natural inflation provides a good fit to WMAP3
data.


title:
Lyman-alpha Emitters and Lyman-break Galaxies at z=3-6 in Cosmological
  SPH Simulations

abstract:
  We study the properties of Lyman-alpha emitters (LAEs) and Lyman-break
galaxies (LBGs) at z=3-6 using cosmological SPH simulations. We investigate two
simple scenarios for explaining the observed Ly-a and rest-frame UV luminosity
functions (LFs) of LAEs: (i) the "escape fraction" scenario, in which the
"effective" escape fraction (including the IGM attenuation) of Ly-a photons is
f_Lya ~0.1 (0.15) at z=3 (6), and (ii) the "stochastic" scenario, in which the
fraction of LAEs that are turned on at z=3 (6) is \Cstoc ~0.07 (0.2) after
correcting for the IGM attenuation. Our comparisons with a number of different
observations suggest that the stochastic scenario is preferred over the escape
fraction scenario. We find that the mean values of stellar mass, metallicity
and black hole mass hosted by LAEs are all smaller in the stochastic scenario
than in the escape fraction scenario. In our simulations, the galaxy stellar
mass function evolves rapidly, as expected in hierarchical structure formation.
However, its evolution is largely compensated by a beginning decline in the
specific star formation rate, resulting in little evolution of the rest-frame
UV LF from z=6 to 3. The rest-frame UV LF of both LAEs and LBGs at z=3 & 6 can
be described well by the stochastic scenario provided the extinction is
moderate, E(B-V) ~0.15, for both populations, although our simulation might be
overpredicting the number of bright LBGs at z=6. We also discuss the
correlation function and bias of LAEs. The Ly-a LFs at z=6 in a field-of-view
of 0.2 deg^2 show a significantly larger scatter owing to cosmic variance
relative to that in a 1 deg^2 field, and the scatter seen in the current
observational estimates of the Ly-a LF can be accounted for by cosmic variance.


title: Nanoplasmonic Renormalization and Enhancement of Coulomb Interactions

abstract:
  Nanostructured plasmonic metal systems are known to enhance greatly variety
of radiative and nonradiative optical processes, both linear and nonlinear,
which are due to the interaction of an electron in a molecule or semiconductor
with the enhanced local optical field of the surface plasmons. Principally
different are numerous many-body phenomena that are due to the Coulomb
interaction between charged particles: carriers (electrons and holes) and ions.
These include carrier-carrier or carrier-ion scattering, energy and momentum
transfer (including the drag effect), thermal equilibration, exciton formation,
impact ionization, Auger effects, etc. It is not widely recognized that these
and other many-body effects can also be modified and enhanced by the
surface-plasmon local fields. A special but extremely important class of such
many-body phenomena is constituted by chemical reactions at metal surfaces,
including catalytic reactions. Here, we propose a general and powerful theory
of the plasmonic enhancement of the many-body phenomena resulting in a closed
expression for the surface plasmon-dressed Coulomb interaction. We illustrate
this theory by computing this dressed interaction explicitly for an important
example of metal-dielectric nanoshells, which exhibits a reach resonant
behavior in both the magnitude and phase. This interaction is used to describe
the nanoplasmonic-enhanced Foerster energy transfer between nanocrystal quantum
dots in the proximity of a plasmonic nanoshell. Catalysis at nanostructured
metal surfaces, nonlocal carrier scattering and surface-enhanced Raman
scattering are discussed among other effects and applications where the
nanoplasmonic renormalization of the Coulomb interaction may be of principal
importance.


title:
Spin-dependent processes at the crystalline Si-SiO_2 interface at high
  magnetic fields

abstract:
  An experimental study on the nature of spin-dependent excess charge carrier
transitions at the interface between (111) oriented phosphorous doped ([P] ~
10^15 cm^3) crystalline silicon and silicon dioxide at high magnetic field (B_0
~ 8.5 T) is presented. Electrically detected magnetic resonance (EDMR) spectra
of the hyperfine split 31P donor electron transitions and paramagnetic
interface defects were conducted at temperatures in the range 3 K < T < 12 K.
The results at these previously unattained (for EDMR) magnetic field strengths
reveal the dominance of spin-dependent processes that differ from the
previously well investigated recombination between the 31P donor and the P_b
state, which dominates at low magnetic fields. While magnetic resonant current
responses due to 31P and P_b states are still present, they do not correlate
and only the P_b contribution can be associated with an interface process due
to spin-dependent tunneling between energetically and physically adjacent P_b
states. This work provides an experimental demonstration of spin-dependent
tunneling between physically adjacent and identical electronic states as
proposed by Kane for readout of donor qubits.


title: Null Half-Supersymmetric Solutions in Five-Dimensional Supergravity

abstract:
  We classify half-supersymmetric solutions of gauged N=2, D=5 supergravity
coupled to an arbitrary number of abelian vector multiplets for which all of
the Killing spinors generate null Killing vectors. We show that there are four
classes of solutions, and in each class we find the metric, scalars and gauge
field strengths. When the scalar manifold is symmetric, the solutions
correspond to a class of local near horizon geometries recently found by
Kunduri and Lucietti.


title:
Quantum mechanical NMR implementation of DNA algorithm for
  satisfiability problem

abstract:
  DNA computation could in principle solve the satisfiability (SAT) problem due
to the operations in parallel on extremely large numbers of strands. We
demonstrate some quantum gates corresponding to the DNA ones, based on which an
implementation of DNA algorithm for SAT problem is available by quantum
mechanical way. Since quantum computation owns the favorable feature of
operations in parallel on 2$^{n}$ states by using only n qubits, instead of
2$^{n}$ strands in DNA computation, computational complexity is much reduced in
treating the SAT problem quantum mechanically. We take a three-clause SAT
problem with two variables as an example, and carry out a NMR experiment for
solving a one-variable SAT problem.


title: Boltzmann Brains--I'd Rather See Than Be One

abstract:
  A perceived problem with the standard flat-lambda model is that in the far
future spacetime becomes an exponentially expanding de Sitter space, filled
with Gibbons-Hawking thermal radiation, and given infinite time there will
appear an infinite number of Boltzmann Brains (BB's) per finite co-moving
volume today. If BB's outnumber ordinary observers by an infinite factor, why
am I not one? This Gibbons-Hawking thermal radiation is observer dependent--due
to observer dependent event horizons. Different observers moving relative to
each other will see different photons, and different BB's. I will argue that
the only particles that are real are the particles dredged out of the quantum
vacuum state by particular real material detectors. (In much the same way,
accelerated detectors dredge thermal Unruh radiation out of the Minkowski
vacuum due to their observer dependent event horizons.) Thus, I may see a
thermal BB, but cannot be one. Observer independent BB's can be created by
quantum tunneling events, but the rate at which ordinary observers are being
added to the universe by tunneling events to inflating regions exceeds the rate
for producing BB's by tunneling by an infinite factor. I also argue that BB's
do not really pass the Turing test for intelligent observers. Thus, the
standard flat-lambda model is safe.


title:
Multi-wavelength signals of dark matter annihilations at the Galactic
  center

abstract:
  We perform a systematic study of the multi-wavelength signal induced by
weakly interacting massive particle (WIMP) annihilations at the Galactic Center
(GC). Referring to a generic WIMP dark matter (DM) scenario and depending on
astrophysical inputs, we discuss spectral and angular features and sketch
correlations among signals in the different energy bands. None of the
components which have been associated to the GC source Sgr A*, nor the diffuse
emission components from the GC region, have spectral or angular features
typical of a DM source. Still, data-sets at all energy bands, namely, the
radio, near infrared, X-ray and gamma-ray bands, contribute to place
significant constraints on the WIMP parameter space. In general, the gamma-ray
energy range is not the one with the largest signal to background ratio. In the
case of large magnetic fields close to the GC, X-ray data give the tightest
bounds. The emission in the radio-band, which is less model dependent, is very
constraining as well. The recent detection by HESS of a GC gamma-ray source,
and of a diffuse gamma-ray component, limits the possibility of a DM discovery
with next generation of gamma-ray telescopes, like GLAST and CTA. We find that
the most of the region in the parameter space accessible to these instruments
is actually already excluded at other wave-lenghts. On the other hand, there
may be still an open window to improve constraints with wide-field radio
observations.


title: Entanglement-breaking channels in infinite dimensions

abstract:
  We give a representation for entanglement-breaking channels in separable
Hilbert space that generalizes the "Kraus decomposition with rank one
operators" and use it to describe the complementary channels. We also give
necessary and sufficient condition of entanglement-breaking for a general
quantum Gaussian channel. Application of this condition to one-mode channels
provides several new cases where the additivity conjecture holds in full
generality.


title: Unparticle Effects on Top Quark Pair Production at Photon Collider

abstract:
  The unparticle effects on $t\bar t$ production at the future photon collider
are investigated. Distributions of $t\bar t$ invariant mass and that for
transverse momentum of top quark with respect to Standard Model and unparticle
production are predicted. An odd valley with scalar unparticle contribution
appears for some values of $d_{\U}$, which is due to the big cancellation
between the contribution from SM and that from unparticle. This character may
be used to study the properties of scalar unparticle. Our investigations also
show that scalar unparticle may play a significant role in $t \bar t$
production at photon collider if it exists.


title:
Knot undulator to generate linearly polarized photons with low on-axis
  power density

abstract:
  Heat load on beamline optics is a serious problem to generate pure linearly
polarized photons in the third generation synchrotron radiation facilities. For
permanent magnet undulators, this problem can be overcome by a figure-8
operating mode. But there is still no good method to tackle this problem for
electromagnetic elliptical undulators. Here, a novel operating mode is
suggested, which can generate pure linearly polarized photons with very low
on-axis heat load. Also the available minimum photon energy of linearly
polarized photons can be extended much by this method.


title: $K^-pp$ system with chiral SU(3) effective interaction

abstract:
  The $K^-pp$ system is investigated using a variational approach with
realistic two-body interactions: the Argonne v18 $NN$ potential and an energy
dependent $\bar{K}N$ effective interaction derived from chiral SU(3)
coupled-channel dynamics. Uncertainties in subthreshold extrapolations of the
$\bar{K}N$ interaction are considered. A weakly bound $K^-pp$ state is found,
with a binding energy $B = (19\pm 3)$ MeV substantially smaller than suggested
in previous calculations. The decay width $\Gamma(K^-pp\to \pi\Sigma N)$ is
estimated to range between about 40 and 70 MeV.


title:
The volume dependence of the long-range two-body potentials in various
  color channels by lattice QCD

abstract:
  We study the color-dependent confining forces between two quarks by the
quenched lattice simulations of Coulomb gauge QCD. The color-singlet and
color-antitriplet instantaneous potentials yield attractive forces. The ratio
of the string tensions obtained from them is approximately 2 and have little
volume dependence. Meanwhile, the color-octet and color-sextet channels give a
minor contribution for two-quark system. We finally find that the infrared
self-energy of the color-nonsinglet channels diverges in the infinite volume
limit; however, the degree of the divergence on the finite lattice can be
understood in terms of color factors.


title:
Hyperfine interaction induced decoherence and deterministic
  teleportation of electrons in a quantum dot nanostructure

abstract:
  Recently, de Visser and Blaauboer [Phys. Rev. Lett. {\bf 96}, 246801 (2006)]
proposed the most efficient deterministic teleportation protocol $\cal T$ for
electron spins in a semiconductor nanostructure consisting of a single and a
double quantum dot. However, it is as yet unknown if $\cal T$ can be completed
before decoherence sets in. In this paper we analyze the detrimental effect of
nuclear spin baths, the main source of decoherence, on $\cal T$. We show that
nonclassical teleportation fidelity can be achieved with $\cal T$ provided
certain conditions are met. Our study indicates that realization of quantum
computation with quantum dots is indeed promising.


title:
A simple model for elastic and viscoelastic punch indentation problems
  with experimental validation

abstract:
  This paper presents an analytical model of punctual elastic contact between a
rigid body of arbitrary geometry and a plane surface. A simple analytical model
is developed in order to evaluate the contact force knowing the volume of
interpenetration, the surface and the perimeter of the base of this volume and
the mechanical characteristics of surfaces in contact. Analytical and
experimental validations are made for this model in the case of simple shapes
(spherical, conical and pyramidal). Next, an approach for the resolution in
case of contact between a rigid body and a viscoelastic plane is presented. The
elastic constants are replaced by an integral operator corresponding to the
viscoelastic stress-strain relation. At last, the viscoelastic punctual contact
is studied analytically and validated experimentally.


title:
A New Comparative Definition of Community and Corresponding Identifying
  Algorithm

abstract:
  In this paper, a new comparative definition for community in networks is
proposed and the corresponding detecting algorithm is given. A community is
defined as a set of nodes, which satisfy that each node's degree inside the
community should not be smaller than the node's degree toward any other
community. In the algorithm, the attractive force of a community to a node is
defined as the connections between them. Then employing attractive force based
self-organizing process, without any extra parameter, the best communities can
be detected. Several artificial and real-world networks, including Zachary
Karate club network and College football network are analyzed. The algorithm
works well in detecting communities and it also gives a nice description for
network division and group formation.


title:
Phonon-induced decoherence of the two-level quantum subsystem due to
  relaxation and dephasing processes

abstract:
  Phonon-related decoherence effects in a quantum double-well two-level
subsystem coupled to a solid are studied theoretically by the example of
deformation phonons. Expressions for the reduced density matrix at T=0 are
derived beyond the Markovian approximation by means of explicit solution of the
non-stationary Schrodinger equation for the interacting electron-phonon system
at the initial stage of its evolution. It is shown that as long as the
difference between the energies of the electron in the left and the right well
greatly exceeds the energy of the electron tunneling between the minima of the
double-well potential, decoherence is primarily due to dephasing processes.
This case corresponds to a strongly asymmetric potential and spatially
separated eigenfunctions localized in the vicinity of one or another potential
minimum. In the opposite case of the symmetric potential, the decoherence stems
from the relaxation processes, which may be either "resonant" (at relatively
long times) or "nonresonant" (at short times), giving rise to qualitatively
different temporal evolution of the electron state. The results obtained are
discussed in the context of quantum information processing based on the quantum
bits encoded in electron charge degrees of freedom.


title: Spherical Stein manifolds and the Weyl involution

abstract:
  It is proved that a Stein manifold acted on by a connected compact Lie group
is spherical if and only if there exists an antiholomorphic involution
preserving each orbit of the action. This involution can be chosen equivariant
with respect to a Weyl involution of the group.


title: Reply to Comments of Steuernagel on the Afshar's Experiment

abstract:
  We respond to criticism of our paper "Paradox in Wave-Paricle Duality for
Non-Perturbative Measurements". We disagree with Steuernagel's derivation of
the visibility of the Afshar experiment. To calculate the fringe visibility,
Steuernagel utilizes two different experimental situations, i.e. the wire grid
in the pattern minima and in the pattern maxima. In our assessment, this
proceduere cannot lead to the correct result for the complementarity properties
of wave-particle in one particular experimental set-up.


title: Simplified proof of the Theorem of Varopoulos in the commutative case

abstract:
  We give continuity properties of bitraces on (possibly non-commutative)
Banach *-algebras based on the Closed Graph Theorem, leading to a simplified
proof of the Theorem of Varopoulos in the commutative case.


title: The `Periodic Nulls' of Radio Pulsar J1819+1305

abstract:
  We present a single-pulse study of the four-component pulsar J1819+1305,
whose ``null'' pulses bunch at periodic intervals of around 57 times the
rotation period. The emission bursts between the null bunches exhibit
characteristic modulations at two shorter periodicities of approximately 6.2
and 3 times the rotation period, the former found largely in the two outer
components, and the latter only in the first component. Many bursts commence
with bright emission in second component, exhibit positive six-period drift
across the full profile width, and end with 3-period modulation in the leading
component. The 57-period cycle can be modelled geometrically as a sparsely
filled subbeam carousel with nulls appearing whenever our line of sight
intersects a circulating empty region. This interpretation is compatible with
other recent evidence for periodic, carousel-related nulling and appears to
support the physics of a polar-gap emission model for ``drifting'' subpulses,
but the subtle structure of the emission bursts defies an easy explanation.


title: Integral means of the derivatives of Blaschke products

abstract:
  We study the rate of growth of some integral means of the derivatives of a
Blaschke product and we generalize several classical results. Moreover, we
obtain the rate of growth of integral means of the derivative of functions in
the model subspace $K_B$ generated by the Blaschke product $B$


title:
Hopf Algebras in General and in Combinatorial Physics: a practical
  introduction

abstract:
  This tutorial is intended to give an accessible introduction to Hopf
algebras. The mathematical context is that of representation theory, and we
also illustrate the structures with examples taken from combinatorics and
quantum physics, showing that in this latter case the axioms of Hopf algebra
arise naturally. The text contains many exercises, some taken from physics,
aimed at expanding and exemplifying the concepts introduced.


title:
Derivation of a non-hydrostatic shallow water model; Comparison with
  Saint-Venant and Boussinesq systems

abstract:
  From the free surface Navier-Stokes system, we derive the non-hydrostatic
Saint-Venant system for the shallow waters including friction and viscosity.
The derivation leads to two formulations of growing complexity depending on the
level of approximation chosen for the fluid pressure. The obtained models are
compared with the Boussinesq models.


title: Multi-Layer Perceptrons and Symbolic Data

abstract:
  In some real world situations, linear models are not sufficient to represent
accurately complex relations between input variables and output variables of a
studied system. Multilayer Perceptrons are one of the most successful
non-linear regression tool but they are unfortunately restricted to inputs and
outputs that belong to a normed vector space. In this chapter, we propose a
general recoding method that allows to use symbolic data both as inputs and
outputs to Multilayer Perceptrons. The recoding is quite simple to implement
and yet provides a flexible framework that allows to deal with almost all
practical cases. The proposed method is illustrated on a real world data set.


title:
Acc\'el\'eration des cartes auto-organisatrices sur tableau de
  dissimilarit\'es par s\'eparation et \'evaluation

abstract:
  In this paper, a new implementation of the adaptation of Kohonen
self-organising maps (SOM) to dissimilarity matrices is proposed. This
implementation relies on the branch and bound principle to reduce the algorithm
running time. An important property of this new approach is that the obtained
algorithm produces exactly the same results as the standard algorithm.


title: XMM observations of BAL Quasars with polar outflows

abstract:
  We have selected a sample of broad absorption line (BAL) quasars which show
significant radio variations, indicating the presence of polar BAL outflows. We
obtained snapshot XMM observations of four polar BAL QSOs, to check whether
strong X-ray absorption, one of the most prominent characteristics of most BAL
QSOs, also exist in polar outflows. Two of the sources are detected in X-ray.
Spectral fittings show that they are X-ray normal with no intrinsic X-ray
absorption, suggesting the X-ray shielding gas might be absent in polar BAL
outflows. Comparing to non-BAL QSOs, one of two X-ray nondetected sources
remains consistent with X-ray normal, while the other one, which is an iron
low-ionization BAL (FeLoBAL), shows an X-ray weakness factor of > 19,
suggesting strong intrinsic X-ray absorption. Alternative explanations to the
nondetection of strong X-ray absorption in the two X-ray detected sources are
1) the absorption is more complex than a simple neutral absorber, such as
partial covering absorption or ionized absorption; 2) there might be
significant jet contribution to the detected X-ray emission. Current data is
insufficient to test these possibilities, and further observations are required
to understand the X-ray nature of polar BAL outflows.


title: Stability constraints in modeling of multi-planet extrasolar systems

abstract:
  We present an analysis of high precision radial velocity (RV) observations of
stars hosting multi-planet systems with Jovian companions. We use dynamical
stability constraints and quasi-global methods of optimization. As an
illustration, we present new results derived for the RV data of the Sun-like
dwarfs HD 155358 and $\tau^1$ Gruis.


title: An intermediate gamma beta-beam neutrino experiment with long baseline

abstract:
  In order to address some fundamental questions in neutrino physics a wide,
future programme of neutrino oscillation experiments is currently under
discussion. Among those, long baseline experiments will play a crucial role in
providing information on the value of theta13, the type of neutrino mass
ordering and on the value of the CP-violating phase delta, which enters in
3-neutrino oscillations. Here, we consider a beta-beam setup with an
intermediate Lorentz factor gamma=450 and a baseline of 1050 km. This could be
achieved in Europe with a beta-beam sourced at CERN to a detector located at
the Boulby mine in the United Kingdom. We analyse the physics potential of this
setup in detail and study two different exposures (1 x 10^{21} and 5 x 10^{21}
ions-kton-years). In both cases, we find that the type of neutrino mass
hierarchy could be determined at 99% CL, for all values of delta, for sin^2(2
theta13) > 0.03. In the high-exposure scenario, we find that the value of the
CP-violating phase delta could be measured with a 99% CL error of ~20 deg if
sin^2 (2 theta13) > 10^{-3}, with some sensitivity down to values of sin^2(2
theta13) ~ 10^{-4}. The ability to determine the octant of theta23 is also
studied, and good prospects are found for the high-statistics scenario.


title: Quantization of bosonic fields with two mass and spin states

abstract:
  We investigate bosonic fields possessing two mass and spin states. The
density matrix in the first order formalism is obtained. The quantization of
fields in the first order formulation is performed and propagators are found.


title: Equivariant Primary Decomposition and Toric Sheaves

abstract:
  We study global primary decompositions in the category of sheaves on a scheme
which are equivariant under the action of an algebraic group. We show that
equivariant primary decompositions exist if the group is connected. As main
application we consider the case of varieties which are quotients of a
quasi-affine variety by the action of a diagonalizable group and thus admit a
homogeneous coordinate ring, such as toric varieties. Comparing these
decompositions with primary decompositions of graded modules over the
homogeneous coordinate ring, we show that these are equivalent if the action of
the diagonalizable group is free. We give some specific examples for the case
of toric varieties.


title:
QPS -- quadratic programming sampler, a motif finder using biophysical
  modeling

abstract:
  We present a Markov chain Monte Carlo algorithm for local alignments of
nucleotide sequences aiming to infer putative transcription factor binding
sites, referred to as the quadratic programming sampler. The new motif finder
incorporates detailed biophysical modeling of the transcription factor binding
site recognition which arises an intrinsic threshold discriminating putative
binding sites from other/background sequences. We validate the principal
functioning of the algorithm on a sample of four promoter regions from
Escherichia coli. The resulting description of the motif can be readily
evaluated on the whole genome to identify new putative binding sites.


title: Thermalization in Heavy-Ion Collisions

abstract:
  We propose a model for isotropization and corresponding thermalization in a
nucleon system created in the collision of two nuclei. The model is based on
the assumption: during the fireball evolution, two-particle elastic and
inelastic collisions give rise to the randomization of the nucleon-momentum
transfer which is driven by a proper distribution. As a first approximation, we
assume a homogeneous distribution where the values of the momentum transfer is
bounded from above. These features have been shown to result in a smearing of
the particle momenta about their initial values and, as a consequence, in their
partial isotropization and thermalization. The nonequilibrium single-particle
distribution function and single-particle spectrum which carry a memory about
initial state of nuclei have been obtained.


title: A proposal to a generalised splicing with a self assembly approach

abstract:
  Theory of splicing is an abstract model of the recombinant behaviour of DNAs.
In a splicing system, two strings to be spliced are taken from the same set and
the splicing rule is from another set. Here we propose a generalised splicing
(GS) model with three components, two strings from two languages and a splicing
rule from third component. We propose a generalised self assembly (GSA) of
strings. Two strings $u_1xv_1$ and $u_2xv_2$ self assemble over $x$ and
generate $u_1xv_2$ and $u_2xv_1$. We study the relationship between GS and GSA.
We study some classes of generalised splicing languages with the help of
generalised self assembly.


title:
Geodesic excursions into an embedded disc on a hyperbolic Riemann
  surface

abstract:
  We calculate the asymptotic average rate at which a generic geodesic on a
finite area hyperbolic 2-orbifold returns to an embedded disc on the surface,
as well as the average amount of time it spends in the disc during each visit.
This includes the case where the center of the disc is a cone point.


title: Thread Safe Astronomy

abstract:
  Observational astronomy is the beneficiary of an ancient chain of
apprenticeship. Kepler's laws required Tycho's data. As the pace of discoveries
has increased over the centuries, so has the cadence of tutelage (literally,
"watching over"). Naked eye astronomy is thousands of years old, the telescope
hundreds, digital imaging a few decades, but today's undergraduates will use
instrumentation yet unbuilt - and thus, unfamiliar to their professors - to
complete their doctoral dissertations. Not only has the quickening cadence of
astronomical data-taking overrun the apprehension of the science within, but
the contingent pace of experimental design threatens our capacity to learn new
techniques and apply them productively. Virtual technologies are necessary to
accelerate our human processes of perception and comprehension to keep up with
astronomical instrumentation and pipelined dataflows. Necessary, but not
sufficient. Computers can confuse us as efficiently as they illuminate. Rather,
as with neural pathways evolved to meet competitive ecological challenges,
astronomical software and data must become organized into ever more coherent
"threads" of execution. These are the same threaded constructs as understood by
computer science. No datum is an island.


title: On the evolution of cooling cores in X-ray galaxy clusters

abstract:
  (Abridged) To define a framework for the formation and evolution of the
cooling cores in X-ray galaxy clusters, we study how the physical properties
change as function of the cosmic time in the inner regions of a 4 keV and 8 keV
galaxy cluster under the action of radiative cooling and gravity only. The
cooling radius, R_cool, defined as the radius at which the cooling time equals
the Universe age at given redshift, evolves from ~0.01 R200 at z>2, where the
structures begin their evolution, to ~0.05 R200 at z=0. The values measured at
0.01 R200 show an increase of about 15-20 per cent per Gyr in the gas density
and surface brightness and a decrease with a mean rate of 10 per cent per Gyr
in the gas temperature. The emission-weighted temperature diminishes by about
25 per cent and the bolometric X-ray luminosity rises by a factor ~2 after 10
Gyrs when all the cluster emission is considered in the computation. On the
contrary, when the core region within 0.15 R500 is excluded, the gas
temperature value does not change and the X-ray luminosity varies by 10-20 per
cent only. The cooling time and gas entropy radial profiles are well
represented by power-law functions. The behaviour of the inner slopes of the
gas temperature and density profiles are the most sensitive and unambiguous
tracers of an evolving cooling core. Their values after 10 Gyrs of radiative
losses, T_gas ~ r^0.4 and n_gas ~ r^(-1.2) for the hot (cool) object, are
remarkably in agreement with the observational constraints available for nearby
X-ray luminous cooling core clusters. Because our simulations do not consider
any AGN heating, they imply that the feedback process does not greatly alter
the gas density and temperature profiles as generated by radiative cooling
alone.


title: Functional-differential equations for $F_q$%-transforms of $q$-Gaussians

abstract:
  In the paper the question - Is the q-Fourier transform of a q-Gaussian a
q'-Gaussian (with some q') up to a constant factor? - is studied for the whole
range of $q\in (-\infty, 3)$. This question is connected with applicability of
the q-Fourier transform in the study of limit processes in nonextensive
statistical mechanics. We prove that the answer is affirmative if and only if q
> 1, excluding two particular cases of q<1, namely, q = 1/2 and q = 2/3, which
are also out of the theory valid for q \ge 1. We also discuss some applications
of the q-Fourier transform to nonlinear partial differential equations such as
the porous medium equation.

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


title: Geometrical representations of equiaffine curvature operators

abstract:
  We examine geometric representability results for various classes of
equiaffine curvature operators. We show every Ricci flat algebraic curvature
operator is geometrically realizable by a Ricci flat torsion free connection on
the tangent bundle of some smooth manifold.


title:
A quadratic regression problem for two-state algebras with application
  to the Central Limit Theorem

abstract:
  We extend a free version of the Laha-Lukacs theorem to probability spaces
with two-states. We then use this result to generalize a noncommutative CLT of
Kargin to the two-state setting.


title: (In)stability of D-dimensional black holes in Gauss-Bonnet theory

abstract:
  We make an extensive study of evolution of gravitational perturbations of
D-dimensional black holes in Gauss-Bonnet theory. There is an instability at
higher multi-poles $\ell$ and large Gauss-Bonnet coupling $\alpha$ for $D= 5,
6$, which is stabilized at higher $D$. Although small negative gap of the
effective potential for scalar type of gravitational perturbations, exists for
higher $D$ and whatever $\alpha$, it does not lead to any instability.


title: Transient State Work Fluctuation Theorem for a Driven Classical System

abstract:
  We derive the nonequilibrium transient state work fluctuation theorem and
also the Jarzynski equality for a classical harmonic oscillator linearly
coupled to a harmonic heat bath, which is dragged by an external agent.
Coupling with the bath makes the dynamics not only dissipative but also
non-Markovian in general. Since we do not assume anything about the spectral
nature of the harmonic bath the derivation is not only restricted to the
Markovian bath rather it is more general, for a non-Markovian bath.


title:
Mid- and far-infrared fine-structure line sensitivities to hypothetical
  variability of the fine-structure constant

abstract:
  Sensitivity coefficients to temporal variation of the fine-structure constant
alpha for transitions between the fine-structure (FS) sub-levels of the ground
states of C I, Si I, S I, Ti I, Fe I, N II, Fe II, O III, S III, Ar III, Fe
III, Mg V, Ca V, Na VI, Fe VI, Mg VII, Si VII, Ca VII, Fe VII, and Si IX are
calculated. These transitions lie in the mid- and far-infrared regions and can
be observed in spectra of high-redshift quasars and infrared bright galaxies
with active galactic nuclei. Using FS transitions to study alpha-variation over
cosmological timescale allows to improve the limit on $|\Delta\alpha/\alpha|$
by several times as compared to contemporaneous optical observations
($|\Delta\alpha/\alpha| < 10^{-5}$), and to suppress considerably systematic
errors of the radial velocity measurements caused by the Doppler noise.
Moreover, the far infrared lines can be observed at redshifts z > 10, far
beyond the range accessible to optical observations (z < 4). We have derived a
simple analytical expression which relates the FS intervals and the sensitivity
of the FS transitions to the change of alpha.


title: Two-qutrit Entanglement Witnesses and Gell-Mann Matrices

abstract:
  The Gell-Mann $\lambda$ matrices for Lie algebra su(3) are the natural basis
for the Hilbert space of Hermitian operators acting on the states of a
three-level system(qutrit). So the construction of EWs for two-qutrit states by
using these matrices may be an interesting problem. In this paper, several
two-qutrit EWs are constructed based on the Gell-Mann matrices by using the
linear programming (LP) method exactly or approximately. The decomposability
and non-decomposability of constructed EWs are also discussed and it is shown
that the $\lambda$-diagonal EWs presented in this paper are all decomposable
but there exist non-decomposable ones among $\lambda$-non-diagonal EWs.


title:
Generic exponential sums associated to Laurent polynomials in one
  variable

abstract:
  Generic Newton polygons for L-functions of exponential sums associated to
Laurent polynomials in one variable are determined. The corresponding Hasse
polynomials are also determined.


title:
Order-N Cluster Monte Carlo Method for Spin Systems with Long-range
  Interactions

abstract:
  An efficient O(N) cluster Monte Carlo method for Ising models with long-range
interactions is presented. Our novel algorithm does not introduce any cutoff
for interaction range and thus it strictly fulfills the detailed balance. The
realized stochastic dynamics is equivalent to that of the conventional
Swendsen-Wang algorithm, which requires O(N^2) operations per Monte Carlo sweep
if applied to long-range interacting models. In addition, it is shown that the
total energy and the specific heat can also be measured in O(N) time. We
demonstrate the efficiency of our algorithm over the conventional method and
the O(N log N) algorithm by Luijten and Bloete. We also apply our algorithm to
the classical and quantum Ising chains with inverse-square ferromagnetic
interactions, and confirm in a high accuracy that a Kosterlitz-Thouless phase
transition, associated with a universal jump in the magnetization, occurs in
both cases.


title: On the sign structure of doped Mott insulators

abstract:
  We demonstrate that the sign structure of the t-J model on a hypercubic
lattice is entirely different from that of a Fermi gas, by inspecting the high
temperature expansion of the partition function up to all orders, as well as
the multi-hole propagator of the half-filled state and the perturbative
expansion of the ground state energy. We show that while the fermion signs can
be completely gauged away by a Marshall sign transformation at half-filling,
the bulk of the signs can be also gauged away in a doped case, leaving behind a
rarified "irreducible" sign structure that can be enumerated easily by counting
exchanges of holes with themselves and spins on their real space paths. Such a
sparse sign structure implies a mutual statistics for the quantum states of the
doped Mott insulator.


title: Global axisymmetric Magnetorotational Instability with density gradients

abstract:
  We examine global incompressible axisymmetric perturbations of a
differentially rotating MHD plasma with radial density gradients. It is shown
that the standard magnetorotational instability, (MRI) criterion drawn from the
local dispersion relation is often misleading. If the equilibrium magnetic
field is either purely axial or purely toroidal, the problem reduces to finding
the global radial eigenvalues of an effective potential. The standard Keplerian
profile including the origin is mathematically ill-posed, and thus any solution
will depend strongly on the inner boundary. We find a class of unstable modes
localized by the form of the rotation and density profiles, with reduced
dependence on boundary conditions.


title:
(Ga,Mn)As based superlattices and the search for antiferromagnetic
  interlayer coupling

abstract:
  Antiferromagnetic interlayer coupling in dilute magnetic semiconductor
superlattices could result in the realisation of large magnetoresistance
effects analogous to the giant magnetoresistance seen in metallic multilayer
structures. In this paper we use a mean-field theory of carrier induced
ferromagnetism to explore the multidimensional parameter space available in
(Ga,Mn)As based superlattice systems. Based on these investigations we examine
the feasibility of creating a superlattice that exhibits antiferromagnetic
coupling and suggest potentially viable recipes.


title: Chirally symmetric but confined hadrons at finite density

abstract:
  At a critical finite chemical potential and low temperature QCD undergoes the
chiral restoration phase transition. The folklore tradition is that
simultaneously hadrons are deconfined and there appears the quark matter. We
demonstrate that it is possible to have confined but chirally symmetric hadrons
at a finite chemical potential and hence beyond the chiral restoration point at
a finite chemical potential and low temperature there could exist a chirally
symmetric matter consisting of chirally symmetric but confined hadrons. If it
does happen in QCD, then the QCD phase diagram should be reconsidered with
obvious implications for heavy ion programs and astrophysics.


title: The linear dual of the derived category of a scheme

abstract:
  This paper has been withdrawn because Proposition 2.2 (c) is false. This
invalids the main results of section 2 and 3. We thank A. Canonaco for pointing
us the error.


title:
Stable Mean Field Solution of a Short-Range Interacting SO(3) Quantum
  Heisenberg Spin-Glass

abstract:
  We present a mean-field solution for a quantum, short-range interacting,
disordered, SO(3) Heisenberg spin model, in which the Gaussian distribution of
couplings is centered in an AF coupling $\bar J>0$, and which, for weak
disorder, can be treated as a perturbation of the pure AF Heisenberg system.
The phase diagram contains, apart from a N\'eel phase at T=0, spin-glass and
paramagnetic phases whose thermodynamic stability is demonstrated by an
analysis of the Hessian matrix of the free-energy. The magnetic
susceptibilities exhibit the typical cusp of a spin-glass transition.


title: Measurement-Only Topological Quantum Computation

abstract:
  We remove the need to physically transport computational anyons around each
other from the implementation of computational gates in topological quantum
computing. By using an anyonic analog of quantum state teleportation, we show
how the braiding transformations used to generate computational gates may be
produced through a series of topological charge measurements.


title: Friedel oscillations and the Kondo screening cloud

abstract:
  We show that the long distance charge density oscillations in a metal induced
by a weakly coupled spin-1/2 magnetic impurity exhibiting the Kondo effect are
given, at zero temperature, by a universal function F(r/xi_K) where r is the
distance from the impurity and xi_K, the Kondo screening cloud size =v_F/T_K,
where v_F is the Fermi velocity and T_K is the Kondo temperature. F is given by
a Fourier-like transform of the T-matrix. Analytic expressions for F(r/xi_K)
are derived in both limits r much less than xi_K and r much greater than xi_K
and F is calculated for all r/xi_K using numerical methods.


title:
Topological Free Entropy Dimensions in Nuclear C$^*$-algebras and in
  Full Free Products of C$^*$-algebras

abstract:
  In the paper, we introduce a new concept of topological orbit dimension of
$n$-tuples of elements in a unital C$^*$ algebra. Using this concept, we
conclude that the Voiculescu's topological free entropy dimension of any family
of self-adjoint generators of a nuclear C$^*$ algebra is less than or equal to
1. We also show that the topological free entropy dimension is additive in the
full free products of unital C$^*$ algebras. In the appendix, we show that
unital full free product of Blackadar and Kirchberg's unital MF algebras is
also MF algebra.


title: Galois invariant smoothness basis

abstract:
  This text answers a question raised by Joux and the second author about the
computation of discrete logarithms in the multiplicative group of finite
fields. Given a finite residue field $\bK$, one looks for a smoothness basis
for $\bK^*$ that is left invariant by automorphisms of $\bK$. For a broad class
of finite fields, we manage to construct models that allow such a smoothness
basis. This work aims at accelerating discrete logarithm computations in such
fields. We treat the cases of codimension one (the linear sieve) and
codimension two (the function field sieve).


title: Graphene via large N I: Renormalization

abstract:
  We analyze the competing effects of moderate to strong Coulomb
electron-electron interactions and weak quenched disorder in graphene. Using a
one-loop renormalization group calculation controlled within the large-N
approximation, we demonstrate that, at successively lower energy (temperature
or chemical potential) scales, a type of non-Abelian vector potential disorder
always asserts itself as the dominant elastic scattering mechanism for generic
short-ranged microscopic defect distributions. Vector potential disorder is
tied to both elastic lattice deformations ("ripples") and topological lattice
defects. We identify several well-defined scaling regimes, for which we provide
scaling predictions for the electrical conductivity and thermopower, valid when
the inelastic lifetime due to interactions exceeds the elastic lifetime due to
disorder. Coulomb interaction effects should figure strongly into the physics
of suspended graphene films, where rs > 1; we expect vector potential disorder
to play an important role in the description of transport in such films.


title: On the electromagnetic origin of inertia and inertial mass

abstract:
  We address the problem of inertial property of matter through analysis of the
motion of an extended charged particle. Our approach is based on the continuity
equation for momentum (Newton's second law) taking due account of the vector
potential and its convective derivative. We obtain a development in terms of
retarded potentials allowing an intuitive physical interpretation of its main
terms. The inertial property of matter is then discussed in terms of a kind of
induction law related to the extended charged particle's own vector potential.
Moreover, it is obtained a force term that represents a drag force acting on
the charged particle when in motion relatively to its own vector potential
field lines. The time rate of variation of the particle's vector potential
leads to the acceleration inertia reaction force, equivalent to the Schott term
responsible for the source of the radiation field. We also show that the
velocity dependent term of the particle's vector potential is connected with
the relativistic increase of mass with velocity and generates a longitudinal
stress force that is the source of electric field lines deformation. In the
framework of classical electrodynamics, we have shown that the electron mass
has possibly a complete electromagnetic origin and the obtained covariant
equation solves the "4/3 mass paradox" for a spherical charge distribution.


title: Families of Vortex Solitons in Periodic Media

abstract:
  Various families of charge-one vortex solitons in two-dimensional periodic
media are reported. These vortices reside either in the semi-infinite gap or
higher band gaps of the media. For both Kerr and saturable nonlinearities
(either focusing or defocusing), infinite vortex families are found. All these
families do not bifurcate from Bloch bands; rather, they turn around before
reaching edges of Bloch bands. It is further revealed that vortices with
drastically different topological shapes can belong to the same vortex family,
which is quite surprising.


title:
The High Velocity Gas toward Messier 5: Tracing Feedback Flows in the
  Inner Galaxy

abstract:
  We present Far Ultraviolet Spectroscopic Explorer (FUSE) and Space Telescope
Imaging Spectrograph (STIS E140M) observations of the post-asymptotic giant
branch star ZNG 1 in the globular cluster Messier 5 (l=3.9, b=+47.7; d=7.5 kpc,
z=+5.3 kpc). High velocity absorption is seen in C IV, Si IV, O VI, and lower
ionization species at LSR velocities of -140 and -110 km/s. We conclude that
this gas is not circumstellar on the basis of photoionization models and path
length arguments. Thus, the high velocity gas along the ZNG 1 sight line is the
first evidence that highly-ionized HVCs can be found near the Galactic disk. We
measure the metallicity of these HVCs to be [O/H]=+0.22\pm0.10, the highest of
any known HVC. Given the clouds' metallicity and distance constraints, we
conclude that these HVCs have a Galactic origin. This sight line probes gas
toward the inner Galaxy, and we discuss the possibility that these HVCs may be
related to a Galactic nuclear wind or Galactic fountain circulation in the
inner regions of the Milky Way.


title:
A data-driven functional projection approach for the selection of
  feature ranges in spectra with ICA or cluster analysis

abstract:
  Prediction problems from spectra are largely encountered in chemometry. In
addition to accurate predictions, it is often needed to extract information
about which wavelengths in the spectra contribute in an effective way to the
quality of the prediction. This implies to select wavelengths (or wavelength
intervals), a problem associated to variable selection. In this paper, it is
shown how this problem may be tackled in the specific case of smooth (for
example infrared) spectra. The functional character of the spectra (their
smoothness) is taken into account through a functional variable projection
procedure. Contrarily to standard approaches, the projection is performed on a
basis that is driven by the spectra themselves, in order to best fit their
characteristics. The methodology is illustrated by two examples of functional
projection, using Independent Component Analysis and functional variable
clustering, respectively. The performances on two standard infrared spectra
benchmarks are illustrated.


title:
Virial expansion of molecular Brownian motion versus tales of
  "statistical independency"

abstract:
  Basing on main principles of statistical mechanics only, an exact virial
expansion for path probability distribution of molecular Brownian particle in a
fluid is derived which connects response of the distribution to perturbations
of the fluid and statistical correlations of its molecules with Brownian
particle. The expansion implies that (i) spatial spread of these correlations
is finite, (ii) this is inconsistent with Gaussian distribution involved by the
``molecular chaos'' hypothesis, and (iii) real path distribution possesses
power-law long tails. This means that actual Brownian path never can be
disjointed into statistically independent fragments, even in the Boltzmann-Grad
gas, but behaves as if Brownian particle's diffusivity undergoes scaleless
low-frequency fluctuations.


title:
Harnack Inequality and Applications for Stochastic Evolution Equations
  with Monotone Drifts

abstract:
  In this paper, the dimension-free Harnack inequality is proved for the
associated transition semigroups to a large class of stochastic evolution
equations with monotone drifts. As applications, the ergodicity, hyper-(or
ultra-)contractivity and compactness are established for the corresponding
transition semigroups. Moreover, the exponential convergence of the transition
semigroups to invariant measure and the existence of a spectral gap are also
derived. The main results are applied to many concrete stochastic evolution
equations such as stochastic reaction-diffusion equations, stochastic porous
media equations and the stochastic p-Laplace equation in Hilbert space.


title: Non-Ergodic Mesoscopic Systems

abstract:
  Suppose there is a mesoscopic system connected to single channel leads. If
the system is non-chaotic or non-ergodic then the thermodynamic and transport
properties do not depend on impurity averaged density of states. We show that
the partial density of states as well as density of states of a given system
can be determined exactly from the asymptotic wave-function (or scattering
matrix) at the resonances. The asymptotic wave-function can be determined
experimentally without any knowledge about the quantum mechanical potential
(including electron-electron interaction) or wave function in the interior of
the system. Some counter intuitive relations derived here can allow this.


title: Integral representations of separable states

abstract:
  We study a separability problem suggested by mathematical description of
bipartite quantum systems. We consider Hermitian 2-forms on the tensor product
$H=K\otimes L$, where $K,L$ are finite dimensional complex spaces. Inspired by
quantum mechanical terminology we call such a form separable if it is a convex
combination of hermitian tensor products $(\sigma_p)^*\odot \sigma_p$ of
1-forms $\sigma_p$ on $H$ that are product forms $\sigma_p=\phi_p\otimes
\psi_p$, where $\phi_p\in K^*$, $\psi_p\in L^*$.
  We introduce an integral representation of separable forms. In particular, we
show that the integral of $(D_{z^*}}\Phi)^*\odot D_{z^*}\Phi$ of any square
integrable map $\Phi:\C^n\to \C^m$, with square integrable conjugate derivative
$D_{z^*}\Phi$, is a separable form. Vice versa, any separable form in the
interior of the set of such forms, can be represented in this way. This implies
that any separable mixed state (and only such states) can be either explicitly
represented in the integral form, or it may be arbitrarily well approximated by
such states.


title: An Elementary Proof of the Free-additivity of Voiculescu's Free Entropy

abstract:
  D. Voiculescu [2] proved that a standard family of independent random unitary
k by k matrices and a constant k by k unitary matrix is asymtotically free as k
goes to infinity. This result was a key ingredient in Voiculescu's proof [3]
that his free entropy is additive when the variables are free. In this paper,
we give a very elementary proof of a more detailed version of this result [2].


title:
Anomalous Higgs couplings in egamma collision with initial beam and
  final state polarizations

abstract:
  We investigate the constraints on the anomalous WWH couplings through the
process $e^{-}\gamma \to \nu_{e} W^{-} H$. Considering incoming beam
polarizations and the longitudinal and transverse polarization states of the
final W boson, we find 95% confidence level limits on the anomalous coupling
parameters with an integrated luminosity of 500 $fb^{-1}$ and $\sqrt{s}$= 0.5
and 1 TeV energy. We show that initial beam and final state polarizations
highly improve the sensitivity limits of the anomalous coupling parameters
$b_{W}$ and $\beta_{W}$.


title: Integrable Lattice Maps: $Q_5$, a Rational Version of $Q_4$

abstract:
  We give a rational form of a generic two-dimensional "quad" map, containing
the so-called $Q_4$ case, but whose coefficients are free. Its integrability is
proved using the calculation of algebraic entropy.


title: On the conformal scalar curvature equation and related problems

abstract:
  We review recent compactness and non-compactness results for the Yamabe
equation. We also discuss the asymptotic behavior of the parabolic Yamabe flow.


title: INTEGRAL high energy sky: The keV to MeV cosmic sources

abstract:
  After almost 5 years of operation, ESA's International Gamma-Ray Astrophysics
Laboratory (INTEGRAL) Space Observatory has unveiled a new soft Gamma ray sky
and produced a remarkable harvest of results, ranging from identification of
new high energy sources, to the discovery of dozens of variable sources to the
mapping of the Aluminum emission from the Galaxy Plane to the presence of
electrons and positrons generating the annihilation line in the Galaxy central
radian. INTEGRAL is continuing the deep observations of the Galactic Plane and
of the whole sky in the soft Gamma ray range. The new IBIS gamma ray catalogue
contains more than 420 sources detected above 20 keV. We present a view of the
INTEGRAL high energy sky with particular regard to sources emitting at high
energy, including Active Galactic Nuclei (AGN), HESS/MAGIC counterparts and new
view of the cosmic gamma ray diffuse background.


title: Spectral and scattering theory of fourth order differential operators

abstract:
  An ordinary differential operator of the fourth order with coefficients
converging at infinity sufficiently rapidly to constant limits is considered.
Scattering theory for this operator is developed in terms of special solutions
of the corresponding differential equation. In contrast to equations of second
order "scattering" solutions contain exponentially decaying terms. A relation
between the scattering matrix and a matrix of coefficients at exponentially
decaying modes is found. In the second part of the paper the operator $D^4$ on
the half-axis with different boundary conditions at the point zero is studied.
Explicit formulas for basic objects of the scattering theory are found. In
particular, a classification of different types of zero-energy resonances is
given.


title: Hydrodynamic instability during non-uniform growth of a helium crystal

abstract:
  We analyze an analog of the hydrodynamic Rayleigh-Taylor instability for the
liquid-solid phase interface under non-uniform growth of the solid phase. The
development of the instability starts on conditions of an accelerated interface
growth and if the magnitude of acceleration exceeds some critical value. The
plane and spherical shapes of the interface are considered. The observation of
the instability can be expected for helium crystals in the course of their
abnormal fast growth.


title:
Studies of non-magnetic impurities in the spin-1/2 Kagome
  Antiferromagnet

abstract:
  Motivated by recent experiments on ZnCu$_3$(OH)$_6$Cl$_2$, we study the
inhomogeneous Knight shifts (local susceptibilities) of spin 1/2 Kagome
antiferromagnet in the presence of nonmagnetic impurities. Using high
temperature series expansion, we calculate the local susceptibility and its
histogram down to about T=0.4J. At low temperatures, we explore a Dirac spin
liquid proposal and calculate the local susceptibility in the mean field and
beyond mean field using Gutzwiller projection, finding the overall picture to
be consistent with the NMR experiments.


title: A characterization of Koiso's typed solitons

abstract:
  By extending Koiso's examples to the non-compact case, we construct complete
gradient Kahler-Ricci solitons of various types on certain holomorphic line
bundles over compact Kahler-Einstein manifolds. Moreover, a uniformization
result on steady gradient Kahler-Ricci solitons with non-negative Ricci
curvature is obtained under additional assumptions.


title: High energy cosmic rays, gamma rays and neutrinos from AGN

abstract:
  The author reviews a model for the emission of high energy cosmic rays,
gamma-rays and neutrinos from AGN (Active Galactic Nuclei) that he has proposed
since 1985. Further discussion of the knee energy phenomenon of the cosmic ray
energy spectrum requires the existence of a heavy particle with mass in the
knee energy range. A possible method of detecting such a particle in the Pierre
Auger Project is suggested. Also presented is a relation between the spectra of
neutrinos and gamma-rays emitted from AGN. This relation can be tested by high
energy neutrino detectors such as ICECUBE, the Mediterranean Sea Detector and
possibly by the Pierre Auger Project.


title:
Breaking up the Magellanic Group into the Milky Way Halo: Understanding
  the Local Dwarf Galaxy Properties

abstract:
  We use a numerical simulation of a loose group containing a Milky Way halo to
probe that in the hierarchical universe the Magellanic Clouds and some dSphs
have been accreted into the Milky Way halo from a late infalling group of
dwarfs. Our simulations show that the tidal breakup of the Magellanic group
occurs before it enters the Milky Way halo. Only half of the satellites
contributed from the group are predicted to be inside the Milky Way virial
radius. Half of its subhalos survive outside the current virial radius in the
form of satellites, whereas the remaining material contributes to the diffuse
Milky Way halo. At z~0 the disrupted group contributes less than 10% to the
Milky Way halo mass but 20% of the brightest dwarf galaxies of the Milky Way
have been part of this group. This scenario points out that some dSphs might
have been form away from giant spirals and been accreted already as spheroids,
by a late infall group in contrast with the classical picture of tidal
stripping of dSph formation models. This would naturally explain several
peculiarities of the local dSph: why Draco and the other luminous dSphs exist
compared to other ultra-faint satellite galaxies, the location of Tucana and
Cetus in the outskirts of the Local Group and the mismatch in metallicity
between the stellar halo of the Milky Way and the dwarf galaxies that many have
suspected dissolved to build it.


title:
The Taiwanese-American Occultation Survey: The Multi-Telescope Robotic
  Observatory

abstract:
  The Taiwanese-American Occultation Survey (TAOS) operates four fully
automatic telescopes to search for occultations of stars by Kuiper Belt
Objects. It is a versatile facility that is also useful for the study of
initial optical GRB afterglows. This paper provides a detailed description of
the TAOS multi-telescope system, control software, and high-speed imaging.


title: Photon-Number Squeezing in Circuit Quantum Electrodynamics

abstract:
  A superconducting single-electron transistor (SSET) coupled to an anharmonic
oscillator, e.g., a Josephson junction-L-C circuit, can drive the latter to a
nonequilibrium photon number state. By biasing the SSET in a regime where the
current is carried by a combination of inelastic quasiparticle tunneling and
coherent Cooper-pair tunneling (Josephson quasiparticle cycle), cooling of the
oscillator as well as a laser like enhancement of the photon number can be
achieved. Here we show, that the cut-off in the quasiparticle tunneling rate
due to the superconducting gap, in combination with the anharmonicity of the
oscillator, may create strongly squeezed photon number distributions. For low
dissipation in the oscillator nearly pure Fock states can be produced.


title:
Generalized Madelung transformations for quantum wave equations I:
  generalized spherical coordinates for field spaces

abstract:
  The Madelung transformation of the space in which a quantum wave function
takes its values is generalized from complex numbers to include field spaces
that contain orbits of groups that are diffeomorphic to spheres. The general
form for the resulting real wave equations then involves structure constants
for the matrix algebra that is associated with the group action. The particular
cases of the algebras of complex numbers, quaternions, and complex quaternions,
which pertain to the Klein-Gordon equation, the relativistic Pauli equation,
and the bi-Dirac equation, resp., are then discussed.


title: A Symplectic Isotopy of a Dehn Twist on CP^n x CP^{n+1}

abstract:
  The complex manifold CP^n x CP^{n+1} with symplectic form
\sigma_\mu=\sigma_{CP^n}+\mu\sigma_{CP^{n+1}}, where \sigma_{CP^n} and
\sigma_{CP^{n+1}} are normalized Fubini-Study forms, n a natural number and
\mu>1 a real number, contains a natural Lagrangian sphere L^{\mu}. We prove
that the Dehn twist along L^{\mu} is symplectically isotopic to the identity
for all \mu>1. This isotopy can be chosen so that it pointwise fixes a complex
hypersurface in CP^n x CP^{n+1} and lifts to the blow-up of CP^n x CP^{n+1}
along a complex n-dimensional submanifold.


title: On a characterization of the complex hyperbolic space

abstract:
  Consider a compact K\"{a}hler manifold $M^m$ with Ricci curvature lower bound
$Ric_M\geq -2(m+1) .$ Assume that its universal cover $% \widetilde{M}$ has
maximal bottom of spectrum $\lambda_1(\widetilde{M}%) =m^2.$ Then we prove that
$\widetilde{M}$ is isometric to the complex hyperbolic space $\Bbb{CH}^m.$


title: Bubble Gating Currents in Ionic Channels

abstract:
  Bubbles in ion channel proteins have been proposed to be the bistable gates
that control current flow. Gating currents associated with channel gating would
then be an electrical signature of bubble breaking and formation, arising from
the change in dielectric coefficient as the bubble breaks or forms. A bubble
would have a dielectric coefficient of 1. A filled bubble would have a
dielectric coefficient (say) between 30 and 80. Transporters, pumps, and
channels would be expected to have gating currents.


title:
Mass-matrix ansatz and constraints on $B_{s}^{0}-\bar{B}_{s}^{0}$ mixing
  in 331 models

abstract:
  Comparing the theoretically predicted and measured values of the mass
difference of the $B^{0}_{s}$ system, we estimate the lower bound on the mass
of the $Z^{\prime}$ boson of models based on the $SU(3)_{c} \otimes SU(3)_{L}
\otimes U(1)_X$ gauge group. By assuming zero-texture approaches of the quark
mass matrices, we find the ratio of the measured value to the theoretical
prediction from the Standard Model and the $Z^{\prime}$ contribution from the
331 models of the mass difference of the $B^{0}_{s}$ system. We find lower
bounds on the $Z^{\prime}$ mass ranging between 1 TeV and 30 TeV for the two
most popular 331 models, and four different zero-textures ans\"atze. The above
results are expressed as a function of the weak angle associated to the
$b-s-Z^{\prime}$ couplings.


title: $Z^{\prime}$ boson signal at Tevatron and LHC in a 331 model

abstract:
  We analyse the possibilities to detect a new $Z^{\prime}$ boson in
di-electron events at Tevatron and LHC in the framework of the 331 model with
right-handed neutrinos. Using $p\bar{p}$ collision data collected by the CDF II
detector at Fermilab Tevatron, we find that the 331 $Z^{\prime}$ boson is
excluded with masses below 920 GeV. For an integrated luminosity of $100
fb^{-1}$ at LHC, and considering a central value $M_{Z^{\prime}}=1500$ GeV, we
obtain the invariant mass distribution in the process $pp\to Z^{\prime}\to
e^{+}e^{-}$, where a huge peak, corresponding to 800 signal events, is found
above the SM background. The number of di-electron events vary from 10000 to 1
in the mass range of $M_{Z^{\prime}}=1000-5000$ GeV.


title: Photon and Axion Splitting in an Inhomogeneous Magnetic Field

abstract:
  The axion photon system in an external magnetic field, when the direction of
propagation of axions and photons is orthogonal to the direction of the
external magnetic field, displays a continuous axion-photon duality symmetry in
the limit the axion mass is neglected. The conservation law that follow in this
effective 2+1 dimensional theory from this symmetry is obtained. The magnetic
field interaction is seen to be equivalent to first order to the interaction of
a complex charged field with an external electric potential, where this
ficticious "electric potential" is proportional to the external magnetic field.
This allows one to solve for the scattering amplitudes using already known
scalar QED results. From the scalar QED analog the axion and the photon are
symmetric and antisymmetric combinations of particle and antiparticle. If one
considers therefore scattering experiments in which the two spatial dimensions
of the effective theory are involved non trivially, one observes that both
particle and antiparticle components of photons and axions are preferentially
scattered in different directions, thus producing the splitting or
decomposition of the photon and axion into their particle and antiparticle
components in an inhomogeneous magnetic field. This observable in principle
effect is of first order in the axion photon coupling, unlike the "light
shining through a wall phenomena ", which is second order.


title: The simple complex numbers

abstract:
  A new simple geometrical interpretation of complex numbers is presented. It
differs from their usual interpretation as points in the complex plane. From
the new point of view the complex numbers are rather operations on vectors than
points. Moreover, in this approach the real, imaginary and complex numbers have
similar interpretation. They are simply some operations on vectors. The
presented interpretation is simpler, more natural, and better adjusted to
possible applications in geometry and physics than the usual one, especially
for describing rotations in a plane. The relation of the new approach to the
usual interpretation and especially to the notion of complex plane is also
clarified in the paper. The new interpretation of complex numbers gives new
insight into their applications in physics, which is demonstrated by some
elementary examples in mechanics and optics


title: Comments on "Gauge Fields and Unparticles"

abstract:
  The derivation of Feynman rules for unparticles carrying standard model
quantum numbers is discussed. In particular, this note demonstrates that an
application of Mandelstam's approach to constructing a gauge-invariant action
reproduces for unparticles the vertices one obtains through the usual minimal
coupling scheme; other non-trivial requirements are satisfied as well. This
approach is compared to an alternative method 0801.0892 that has recently been
constructed by A. L. Licht.


title: On the complexity of finding gapped motifs

abstract:
  This paper has been withdrawn by the corresponding author because the newest
version is now published in Journal of Discrete Algorithms.


title:
Protection of Cities from Small Rockets, Missiles, Projectiles and
  Mortar Shells

abstract:
  The authors suggest a low cost closed AB-Dome, which may protect small cities
such as Sederot from rockets, mortar shells, chemical and biological weapons.
The offered AB-Dome is also very useful in peacetime because it protects the
city from outside weather (violent storms, hail) and creates a fine climate
within the Dome. The roughly hemispherical AB-Dome is a gigantic inflated thin
transparent film, located at altitude up to 1 - 5 kilometers, which converts
the city into a closed-loop air system. The film may be armored with a basalt
or steel grille or cloth pocket-retained stones that destroy (by collision or
detonation) incoming rockets, shells and other projectiles. Such an AB-Dome
would even protect the city in case of a third-party nuclear war involving
temporary poisoning of the Earth atmosphere by radioactive dust. The building
of the offered dome is easy; the film spreads on the ground, the fan engines
turn on and the cover rises to the needed altitude and is supported there by a
small internal overpressure.
  The offered method is cheaper by thousands of times than protection of a city
by current anti-rocket systems. The AB-Dome may be also used (height is up to
1-5 and more kilometers) for TV, communication, long distance location,
tourism, suspended high speed and altitude windmills (energy), illumination and
entertainment (projected messages and pictures).
  The authors developed the theory of AB-Dome, made estimations, computations
and computed a typical project. Discussion and results are at the end of the
article.


title: Fourier series and approximation on hexagonal and triangular domains

abstract:
  Several problems on Fourier series and trigonometric approximation on a
hexagon and a triangle are studied. The results include Abel and Ces\`aro
summability of Fourier series, degree of approximation and best approximation
by trigonometric functions, both direct and inverse theorems. One of the
objective of this study is to demonstrate that Fourier series on spectral sets
enjoy a rich structure that allow an extensive theory for Fourier expansions
and approximation.


title:
Spectral flow invariants and twisted cyclic theory from the Haar state
  on SU_q(2)

abstract:
  In [CPR2], we presented a K-theoretic approach to finding invariants of
algebras with no non-trivial traces. This paper presents a new example that is
more typical of the generic situation. This is the case of an algebra that
admits only non-faithful traces, namely SU_q(2), and also KMS states. Our main
results are index theorems (which calculate spectral flow), one using ordinary
cyclic cohomology and the other using twisted cyclic cohomology, where the
twisting comes from the generator of the modular group of the Haar state. In
contrast to the Cuntz algebras studied in [CPR2], the computations are
considerably more complex and interesting, because there are nontrivial `eta'
contributions to this index.


title:
Force autocorrelation function in linear response theory and the origin
  of friction

abstract:
  Vanishing of the equilibrium Green-Kubo fluctuation expression for the
friction coefficient of a massive particle moving in a finite-volume liquid is
usually interpreted as an unphysical consequence of the finite volume. Here I
show that it is a physical consequence of the finite mass of the rest of the
system, which allows it to be dragged by the moving particle. As a consequence,
it is sufficient to have two infinite masses in the liquid for the friction
coefficient to be finite. In addition, I give the physical interpretation of
different friction coefficients for two infinite-mass particles moving in the
liquid.


title:
Probing triple Higgs couplings of the Two Higgs Doublet Model at Linear
  Collider

abstract:
  We study double Higgs production at the future Linear Collider in the
framework of the Two Higgs Doublet Models through the following channels:
$e^+e^- \to \Phi_i \Phi_j Z$, $\Phi_i=h^0, H^0, A^0, H^\pm$. All these
processes are sensitive to triple Higgs couplings. Hence observations of them
provide information on the triple Higgs couplings that help reconstructing the
scalar potential. We also discuss the double Higgs-strahlung $e^+e^- \to h^0
h^0 Z$ in the decoupling limit where $h^0$ mimics the SM Higgs boson. The
processes $e^+e^- \to h^0 h^0 Z$ and $e^+e^- \to h^0 H^0 Z$ are also discussed
in the fermiophobic limit where distinctive signatures such as $4\gamma +X$,
$2\gamma +X$ and $6\gamma +X$ are expected in the Type-I Two Higgs Doublet
Model.


title: Linking integrals in the n-sphere

abstract:
  Let K and L be disjoint closed oriented submanifolds of the n-sphere, with
dimensions adding up to n-1. We define a map from their join K*L to the
n-sphere whose degree up to sign equals their linking number, and then use this
to find the desired linking integral.


title:
Transport theory for cold relativistic superfluids from an analogue
  model of gravity

abstract:
  We write a covariant transport equation for the phonon excitations of a
relativistic superfluid valid at small temperatures. The hydrodynamical
equations for this system are derived from the effective field theory
associated to the superfluid phonons. We describe how to construct the kinetic
theory for the phonon quasiparticles using a relativistic generalization of the
analogue model of gravity developed by Unruh. This gravity analogy relies on
the equivalence between the action of a phonon field moving in a superfluid
background with that of a boson propagating in a given curved space-time.
Exploiting this analogy we obtain continuity equations for the phonon current,
entropy and energy-momentum tensor in a covariant form, valid in any reference
frame. Our aim is to shed light on some aspects of transport phenomena of
relativistic superfluidity. In particular, we are interested in the low
temperature regime of the color flavor locked phase, which is a color
superconducting and superfluid phase of high density QCD that may be realized
in the core of neutron stars.


title:
Higher-Dimensional Black Holes: Hidden Symmetries and Separation of
  Variables

abstract:
  In this paper, we discuss hidden symmetries in rotating black hole
spacetimes. We start with an extended introduction which mainly summarizes
results on hidden symmetries in four dimensions and introduces Killing and
Killing-Yano tensors, objects responsible for hidden symmetries. We also
demonstrate how starting with a principal CKY tensor (that is a closed
non-degenerate conformal Killing-Yano 2-form) in 4D flat spacetime one can
"generate" 4D Kerr-NUT-(A)dS solution and its hidden symmetries. After this we
consider higher-dimensional Kerr-NUT-(A)dS metrics and demonstrate that they
possess a principal CKY tensor which allows one to generate the whole tower of
Killing-Yano and Killing tensors. These symmetries imply complete integrability
of geodesic equations and complete separation of variables for the
Hamilton-Jacobi, Klein-Gordon, and Dirac equations in the general
Kerr-NUT-(A)dS metrics.


title: Factorization of the Indefinite Convection-Diffusion Operator

abstract:
  We prove that some non-self-adjoint differential operator admits
factorization and apply this new representation of the operator to construct
explicitly its domain. We also show that this operator is J-self-adjoint in
some Krein space.


title:
s- and r-process element abundances in the CMD of 47 Tucanae using the
  Robert Stobie Spectrograph on SALT

abstract:
  A recent study by Wylie et al 2006 has revealed that s-process element
abundances are enhanced relative to iron in both red giant branch and
asymptotic giant branch stars of 47 Tucanae. A more detailed investigation into
s-process element abundances throughout the colour-magnitude diagram of 47
Tucanae is vital in order to determine whether the observed enhancements are
intrinsic to the cluster. This paper explores this possibility through
observational and theoretical means. The visibility of s- and r-process element
lines in synthetic spectra of giant and dwarf stars throughout the colour
magnitude diagram of 47 Tucanae has been explored. It was determined that a
resolving power of 10 000 was sufficient to observe s-process element abundance
variations in globular cluster giant branch stars. These synthetic results were
compared with the spectra of eleven 47 Tucanae giant branch stars observed
during the performance verification of the Robert Stobie Spectrograph on the
Southern African Large Telescope. Three s-process elements, Zr, Ba, Nd, and one
r-process element, Eu, were investigated. No abundance variations were found
such that [X/Fe] = 0.0 +/- 0.5 dex. It was concluded that this resolving power,
R ~ 5000, was not sufficient to obtain exact abundances but upper limits on the
s-process element abundances could be determined.


title:
The new charged gauge boson $W'$ and the subprocess $eq\to\nu q'$ at
  $e^{+}e^{-}$ and $ep$ colliders

abstract:
  In the framework of the little Higgs models and the three-site Higgsless
model, we discuss the contributions of the new charged gauge boson $W'$ to the
process $eq\to\nu q'$ and the possibility of detecting $W'$ via this process in
future high energy linear $e^{+}e^{-}$ collider $(ILC)$ and $ep$ collider
$(THERA)$ experiments. Our numerical results show that the process $eq\to\nu
q'$ is rather sensitive to the coupling $W'ff'$ and one can use this process to
distinguish different new physics models in future $ILC$ and $THERA$
experiments.


title: Coronal Structure and Abundances in Young Fast Rotators

abstract:
  AB Dor, Speedy Mic and Rst137B are in their early post-T Tauri evolutionary
phase (<100Myr), at the age of fastest rotation in the life of late-type stars.
They straddle the coronal saturation-supersaturation boundary first defined by
young stars in open clusters. High resolution Chandra X-ray spectra have been
analysed to study their coronal properties as a function of coronal activity
parameters Rossby number, $L_X/L_{bol}$ and a coronal temperature index. Plasma
emission measure distributions as a function of temperature show broad peaks at
T~10e7K. Differences between stars suggest that as supersaturation is reached
the DEM slope below the temperature of peak DEM becomes shallower, while the
DEM drop-off above this temperature becomes more pronounced. A larger sample
comprising our three targets and 22 active stars studied in the recent
literature reveals a general increase of plasma at T>10e7 toward the
saturated-supersaturated boundary but a decline beyond this among
supersaturated stars. All three of the stars studied in detail here show lower
coronal abundances of the low FIP elements Mg, Si and Fe, relative to the high
FIP elements S, O and Ne, as compared to the solar mixture. The coronal Fe
abundances of the stellar sample are inversely correlated with Lx/Lbol,
declining slowly with rising Lx/Lbol, but with a much more sharp decline at
Lx/Lbol>3x10e-4. For dwarfs the Fe abundance is also well-correlated with
Rossby number. The coronal O/Fe ratios for dwarfs show a clear increase with
decreasing Rossby number, apparently reaching saturation at [O/Fe]=0.5 at the
coronal supersaturation boundary. Similar increases in O/Fe with increasing
coronal temperature and $L_X/L_{bol}$ are seen.


title:
Atmospheric Circulation of Hot Jupiters: Three-dimensional circulation
  models of HD 209458b and HD 189733b with Simplified Forcing

abstract:
  We present global, three-dimensional numerical simulations of the atmospheric
circulation on HD 209458b and HD 189733b and calculate the infrared spectra and
light curves predicted by these simulations, which we compare with available
observations. Radiative heating/cooling is parameterized with a simplified
Newtonian relaxation scheme. Our simulations develop day-night temperature
contrasts that vary strongly with pressure. At low pressure (<10 mbar), air
flows from the substellar point toward the antistellar point, both along the
equator and over the poles. At deeper levels, the flow develops an eastward
equatorial jet with speeds of 3-4 km/sec, with weaker westward flows at high
latitudes. This basic flow pattern is robust to variations in model resolution,
gravity, radiative time constant, and initial temperature structure. Nightside
spectra show deep absorption bands of H2O, CO, and/or CH4, whereas on the
dayside these absorption bands flatten out or even flip into emission. This
results from the strong effect of dynamics on the vertical temperature-pressure
structure; the temperature decreases strongly with altitude on the nightside
but becomes almost isothermal on the dayside. In Spitzer bandpasses, our
predicted planet-to-star flux ratios vary by a factor of 2-10 with orbital
phase, depending on the wavelength and chemistry. For HD 189733b, where a
detailed 8-micron light curve has been obtained, we correctly produce the
observed phase offset of the flux maximum, but we do not explain the flux
minimum and we overpredict the total flux variation. This discrepancy likely
results from the simplifications inherent in the Newtonian relaxation scheme
and provides motivation for incorporating realistic radiative transfer in
future studies.


title:
Effects of phonon interaction on the pairing in the high-T$c$
  superconductors

abstract:
  We study the effects of phonon interaction on the superconducting pairing in
the background of a d-wave gap, mediated by antiferromagnetic (AFM) spin
fluctuations, using coupled BCS gap equations. We found that phonon interaction
can induce a s-wave component to the d-wave gap in the (D+S) form with an
interaction anisotropy and in the (D+$i$S) form without anisotropy,
respectively. In either case, however, T$_c$ is not enhanced compared to the
pure d-wave pairing without phonon interaction. On the other hand, anisotropic
phonon interaction can dramatically enhance the d-wave pairing itself and
therefore T$_c$, together with the AFM spin fluctuation interaction. This
(D$_{AFM}$ + D$_{ph}$) type pairing exhibits strongly reduced isotope
coefficient despite the large enhancement of T$_c$ by phonon interaction.
Finally, we study the combined type of (D$_{AFM}$ + D$_{ph}$ +$i$S)) gap and
calculate the penetration depth and specific heat to be compared with the
experiments.


title: Bound entangled states with non-positive partial transpose exist

abstract:
  This paper has been withdrawn by the author, due a crucial error in the
optimization. For the last one month I have been trying to remove the error,
but it seems to take a lot of time so I decided to withdraw this paper for the
moment.


title:
Spherical black holes with regular center: a review of existing models
  including a recent realization with Gaussian sources

abstract:
  We review, in a historical perspective, some results about black hole
spacetimes with a regular center. We then see how their properties are realized
in a specific solution that recently appeared; in particular we analyze in
detail the (necessary) violation of the strong energy condition.


title: Nondifferentiable functions of one-dimensional semimartingales

abstract:
  We consider decompositions of processes of the form $Y=f(t,X_t)$ where $X$ is
a semimartingale. The function $f$ is not required to be differentiable, so
It\^{o}'s lemma does not apply. In the case where $f(t,x)$ is independent of
$t$, it is shown that requiring $f$ to be locally Lipschitz continuous in $x$
is enough for an It\^{o}-style decomposition to exist. In particular, $Y$ will
be a Dirichlet process. We also look at the case where $f(t,x)$ can depend on
$t$, possibly discontinuously. It is shown, under some additional mild
constraints on $f$, that the same decomposition still holds. Both these results
follow as special cases of a more general decomposition which we prove, and
which applies to nondifferentiable functions of Dirichlet processes. Possible
applications of these results to the theory of one-dimensional diffusions are
briefly discussed.


title: Cobordisms of fold maps of 4-manifolds into the space

abstract:
  We compute the oriented cobordism group of fold maps of 4-manifolds into the
space with all the possible restrictions (and also with no restriction) to the
singular fibers. We also give geometric invariants which describe completely
the cobordism group of fold maps.


title: Magneto-Optical Stern-Gerlach Effect in Atomic Ensemble

abstract:
  We study the birefringence of the quantized polarized light in a
magneto-optically manipulated atomic ensemble as a generalized Stern-Gerlach
Effect of light. To explain this engineered birefringence microscopically, we
derive an effective Shr\"odinger equation for the spatial motion of two
orthogonally polarized components, which behave as a spin with an effective
magnetic moment leading to a Stern-Gerlach split in an nonuniform magnetic
field. We show that electromagnetic induced transparency (EIT) mechanism can
enhance the magneto-optical Stern-Gerlach effect of light in the presence of a
control field with a transverse spatial profile and a inhomogeneous magnetic
field.


title:
Logic Ciucuits Using Solution-processed Single-walled Carbon Nanotue
  Transistors

abstract:
  This letter reports on the realization of logic circuits employing
solution-processed networks of single-walled carbon nanotubes. We constructed
basic logic gates (inverter, NAND and NOR) with n- and p-type field-effect
transistors fabricated by solution-based chemical doping. Complementary
metal-oxide-semiconductor inverters exhibited voltage gains of up to 20, which
illustrates the great potential of carbon nanotube networks for printable
flexible electronics.


title: Invisible Plasma Content in Blazars? The Case of Markarian 421

abstract:
  Invisible plasma content in blazar jets such as protons and/or thermal
electron-positron ($e^{\pm}$) pairs is explored through combined arguments of
dynamical and radiative processes. By comparing physical quantities required by
the internal shock model with those obtained through the observed
radio-to-gamma-ray spectra for Mrk 421, we find the existence of a copious
amount of invisible plasma in the jet. We speculate that the blazar sequence
could arise from variations of total amount and/or blending ratio of $e^{\pm}$
pair and electron-proton plasma.


title: Observation of B0 to p pbar K*0 with a large K*0 polarization

abstract:
  We observe the decay B0 to p pbar K*0 with a branching fraction of
(1.18^{+0.29}_{-0.25} (stat.) \pm 0.11 (syst.)) \times 10^{-6}. The statistical
significance is 7.2 sigma for the signal in the low ppbar mass region. We study
the decay dynamics of B0 to p pbar K*0 and compare it with B+ to p pbar K*+.
The K*0 meson is found to be almost 100% polarized (with a fraction of (101 \pm
13 \pm 3)% in the helicity zero state), while the K*+ meson has a (32 \pm 17
\pm 9)% fraction in the helicity zero state. The direct CP asymmetries for B0
to p pbar K*0 and B+ to p pbar K*+ are measured to be -0.08\pm 0.20\pm 0.02 and
-0.01\pm 0.19\pm 0.02, respectively. We also study the characteristics of the
low mass ppbar enhancements near threshold and the associated angular
distributions. In addition, we report improved measurements of the branching
fractions BF(B+ to p pbar K*+) = (3.38^{+0.73}_{-0.60} \pm 0.39) \times 10^{-6}
and BF(B0 to p pbar K0) = (2.51^{+0.35}_{-0.29} \pm 0.21) \times 10^{-6}, which
supersede our previous measurements. These results are obtained from a 492
fb^{-1} data sample collected near the Upsilon(4S) resonance with the Belle
detector at the KEKB asymmetric-energy e^+ e^- collider.


title:
Homeomorphism and diffeomorphism groups of non-compact manifolds with
  the Whitney topology

abstract:
  For a non-compact n-manifold M let H(M) denote the group of homeomorphisms of
M endowed with the Whitney topology and H_c(M) the subgroup of H(M) consisting
of homeomorphisms with compact support. It is shown that the group H_c(M) is
locally contractible and the identity component H_0(M) of H(M) is an open
normal subgroup in H_c(M). This induces the topological factorization H_c(M)
\approx H_0(M) \times \M_c(M) for the mapping class group \M_c(M) =
H_c(M)/H_0(M) with the discrete topology. Furthermore, for any non-compact
surface M, the pair (H(M), H_c(M)) is locally homeomorphic to (\square^w
l_2,\cbox^w l_2) at the identity id_M of M. Thus the group H_c(M) is an (l_2
\times R^\infty)-manifold. We also study topological properties of the group
D(M) of diffeomorphisms of a non-compact smooth n-manifold M endowed with the
Whitney C^\infty-topology and the subgroup D_c(M) of D(M) consisting of all
diffeomorphisms with compact support. It is shown that the pair (D(M),D_c(M))
is locally homeomorphic to (\square^w l_2, \cbox^w l_2) at the identity id_M of
M.
  Hence the group D_c(M) is a topological (l_2 \times R^\infty)-manifold for
any dimension n.


title:
On N = 2 superfield for N = 2 vector supermultiplet in two dimensional
  spacetime

abstract:
  We focus on the superfield formulation for a N = 2 vector supermultiplet in
two dimensional spacetime and explicitly show that the Wess-Zumino gauge
condition for a N = 2 superfield is compatible with familiar SUSY (plus U(1)
gauge) transformations for the vector supermultiplet. N = 2 SUSY invariant mass
and Yukawa interaction terms for the vector supermultiplet are also constructed
from the superfield explicitly in addition to a free (kinetic) action.