title: Fraction of Contact Binary Trojan Asteroids

abstract:
  We present the results of an optical lightcurve survey of 114 Jovian Trojan
asteroids conducted to determine the fraction of contact binaries.
Sparse-sampling was used to assess the photometric range of the asteroids and
those showing the largest ranges were targeted for detailed follow-up
observations. This survey led to the discovery of two Trojan asteroids, (17365)
and (29314) displaying large lightcurve ranges (~1 magnitude) and long rotation
periods (< 2 rotations per day consistent with a contact binary nature. The
optical lightcurves of both asteroids are well matched by Roche binary
equilibrium models. Using these binary models, we find low densities of ~600
kg/m^3 and 800 kg/m^3, suggestive of porous interiors. The fraction of contact
binaries is estimated to be between 6% and 10%, comparable to the fraction in
the Kuiper Belt. The total binary fraction in the Trojan clouds (including both
wide and close pairs) must be higher.


title: A p-adic quasi-quadratic point counting algorithm

abstract:
  In this article we give an algorithm for the computation of the number of
rational points on the Jacobian variety of a generic ordinary hyperelliptic
curve defined over a finite field of cardinality $q$ with time complexity
$O(n^{2+o(1)})$ and space complexity $O(n^2)$, where $n=\log(q)$. In the latter
complexity estimate the genus and the characteristic are assumed as fixed. Our
algorithm forms a generalization of both, the AGM algorithm of J.-F. Mestre and
the canonical lifting method of T. Satoh. We canonically lift a certain
arithmetic invariant of the Jacobian of the hyperelliptic curve in terms of
theta constants. The theta null values are computed with respect to a
semi-canonical theta structure of level $2^\nu p$ where $\nu >0$ is an integer
and $p=\mathrm{char}(\F_q)>2$. The results of this paper suggest a global
positive answer to the question whether there exists a quasi-quadratic time
algorithm for the computation of the number of rational points on a generic
ordinary abelian variety defined over a finite field.


title:
Activated dynamics and effective temperature in a steady state sheared
  glass

abstract:
  We conduct nonequilibrium molecular dynamics simulations to measure the shear
stress, the average inherent structure energy, and the effective temperature
$T_{eff}$ of a sheared model glass as a function of bath temperature $T$ and
shear strain rate. For $T$ above the glass transition temperature $T_0$, the
rheology approaches a Newtonian limit and $T_{eff}$ approaches $T$ as the
strain rate approaches zero, while for $T<T_0$, the shear stress approaches a
yield stress and $T_{eff}$ approaches a limiting value near $T_0$. In the
shear-dominated regime at high $T$, high strain rate or at low $T$, we find
that the shear stress and the average inherent structure energy each collapse
onto a single curve as a function of $T_{eff}$. This indicates that $T_{eff}$
is controlling behavior in this regime.


title:
Selbstduale Vertexoperatorsuperalgebren und das Babymonster (Self-dual
  Vertex Operator Super Algebras and the Baby Monster)

abstract:
  We investigate self-dual vertex operator algebras (VOAs) and super algebras
(SVOAs). Using the genus one correlation functions, it is shown that self-dual
SVOAs exist only for half-integral central charges. It is described how
self-dual SVOAs can be constructed from self-dual VOAs of larger central
charge. The analogy with integral lattices and binary codes is emphasized.
  One main result is the construction of the shorter Moonshine module, a
self-dual SVOA of central charge 23.5 on which the Baby monster - the second
largest sporadic simple group - acts by automorphisms. The shorter Moonshine
module has the character q^(-47/48)*(1+ 4371q^(3/2)+ 96256q^2+ 1143745q^(5/2)
+...) and is the "shorter cousin" of the Moonshine module. Its lattice and code
analog are the shorter Leech lattice and shorter Golay code. We conjecture that
the shorter Moonshine module is the unique SVOA with this character.
  The final chapter introduces the notion of extremal VOAs and SVOAs. These are
self-dual (S)VOAs with character having the same first few coefficients as the
vacuum representation of the Virasoro algebra of the same central charge. We
show that extremal VOAs exist at least for the central charges 8, 16, 24, 32,
40 and that extremal SVOAs exist only for the central charges c=0.5, 1, ...,
7.5, 8, 12, 14, 15, 15.5, 23.5 and 24. Examples for c=24 (resp. 23.5) are the
(shorter) Moonshine module. Again, our results are similar to results known for
codes and lattices.


title: Quantum Mechanics in Phase Space

abstract:
  The basics of the Wigner formulation of Quantum-Mechanics and few related
interpretational issues are presented in a simple language.
  This formulation has extensive applications in Quantum Optics and in Mixed
Quantum-Classical formulations.


title: Nitrogen Production in Starburst Galaxies Detected by GALEX

abstract:
  We investigate the production of nitrogen in star forming galaxies with
ultraviolet (UV) radiation detected by the Galaxy Evolution Explorer Satellite
(GALEX). We use a sample of 8,745 GALEX emission line galaxies matched to the
Sloan Digital Sky Survey (SDSS) spectroscopic sample. We derive both gas-phase
oxygen and nitrogen abundances for the sample, and apply stellar population
synthesis models to derive stellar masses and star formation histories of the
galaxies. We compare oxygen abundances derived using three different
diagnostics. We derive the specific star formation rates of the galaxies by
modeling the 7-band GALEX+SDSS photometry. We find that galaxies that have log
SFR/M$_*$ > -10.0 typically have values of log N/O ~0.05 dex less than galaxies
with log SFR/M$_*$ < -10.0 and similar oxygen abundances.


title: Two point function for a simple general relativistic quantum model

abstract:
  We study the quantum theory of a simple general relativistic quantum model of
two coupled harmonic oscillators and compute the two-point function following a
proposal first introduced in the context of loop quantum gravity.


title: KRb Feshbach Resonances: Modeling the interatomic potential

abstract:
  We have observed 28 heteronuclear Feshbach resonances in 10 spin combinations
of the hyperfine ground states of a 40K 87Rb mixture. The measurements were
performed by observing the loss rates from an atomic mixture at magnetic fields
between 0 and 700 G. This data was used to significantly refine an interatomic
potential derived from molecular spectroscopy, yielding a highly consistent
model of the KRb interaction. Thus, the measured resonances can be assigned to
the corresponding molecular states. In addition, this potential allows for an
accurate calculation of the energy differences between highly excited levels
and the rovibrational ground level. This information is of particular relevance
for the formation of deeply bound heteronuclear molecules. Finally, the model
is used to predict Feshbach resonances in mixtures of 87Rb combined with 39K or
41K.


title:
Systematic analysis of a spin-susceptibility representation of the
  pairing interaction in the 2D Hubbard model

abstract:
  A dynamic cluster quantum Monte Carlo algorithm is used to study a spin
susceptibility representation of the pairing interaction for the
two-dimensional Hubbard model with an on-site Coulomb interaction equal to the
bandwidth for various doping levels. We find that the pairing interaction is
well approximated by ${3/2}\Ub(T)^2\chi(K-K')$ with an effective temperature
and doping dependent coupling $\Ub(T)$ and the numerically calculated spin
susceptibility $\chi(K-K')$. We show that at low temperatures, $\Ub$ may be
accurately determined from a corresponding spin susceptibility based
calculation of the single-particle self-energy. We conclude that the strength
of the d-wave pairing interaction, characterized by the mean-field transition
temperature, can be determined from a knowledge of the dressed spin
susceptibility and the nodal quasiparticle spectral weight. This has important
implications with respect to the questions of whether spin fluctuations are
responsible for pairing in the high-T$_c$ cuprates.


title: The magnetic field topology associated to two M flares

abstract:
  On 27 October, 2003, two GOES M-class flares occurred in the lapse of three
hours in active region NOAA 10486. The two flares were confined and their
associated brightenings appeared at the same location, displaying a very
similar shape both at the chromospheric and coronal levels. We focus on the
analysis of magnetic field (SOHO/MDI), chromospheric (HASTA, Kanzelhoehe Solar
Observatory, TRACE) and coronal (TRACE) observations. By combining our data
analysis with a model of the coronal magnetic field, we compute the magnetic
field topology associated to the two M flares. We find that both events can be
explained in terms of a localized magnetic reconnection process occurring at a
coronal magnetic null point. This null point is also present at the same
location one day later, on 28 October, 2003. Magnetic energy release at this
null point was proposed as the origin of a localized event that occurred
independently with a large X17 flare on 28 October, 2003, at 11:01 UT. The
three events, those on 27 October and the one on 28 October, are homologous.
Our results show that coronal null points can be stable topological structures
where energy release via magnetic reconnection can happen, as proposed by
classical magnetic reconnection models.


title: Braided doubles

abstract:
  Braided doubles provide a unifying framework for classical and quantum
universal enveloping algebras and rational Cherednik algebras. They are a class
of algebras with triangular decomposition, arising from a deformation problem,
the solutions to which are called quasi-Yetter-Drinfeld modules. A basic family
of quasi-YD modules is provided by braidings (matrices satisfying the quantum
Yang-Baxter equation); these give rise to quantum versions of the Weyl algebra,
where the role of polynomial rings is played by Nichols-Woronowicz algebras.
Rational Cherednik algebras for t = 0 emerge as subalgebras in doubles of
Nichols-Woronowicz algebras. For nonzero t, the Nichols-Woronowicz algebra is
replaced with an algebra associated to the classical Yang-Baxter equation.


title:
Bose-Einstein condensation and Superfluidity of magnetoexcitons in
  Graphene

abstract:
  We propose experiments to observe Bose-Einstein condensation (BEC) and
superfluidity of quasi-two-dimensional (2D) spatially indirect magnetoexcitons
in bilayer graphene. The magnetic field $B$ is assumed strong. The energy
spectrum of collective excitations, the sound spectrum as well as the effective
magnetic mass of magnetoexcitons are presented in the strong magnetic field
regime. The superfluid density $n_S$ and the temperature of the
Kosterlitz-Thouless phase transition $T_c$ are shown to be increasing functions
of the excitonic density $n$ but decreasing functions of $B$ and the interlayer
separation $D$. Numerical results are presented from these calculations.


title: Violation of Equalities in Bipartite Qutrits Systems

abstract:
  We have recently shown that for the special case of a bipartite system with
binary inputs and outputs there exist equalities in local theories which are
violated by quantum theory. The amount of white noise tolerated by these
equalities are twice that of inequalities. In this paper we will first
introduce an inequality in bipartite qutrits systems which, if non-maximally
entangled state is used instead of maximally entangled state, is violated more
strongly by quantum theory. Hence reproducing the results obtained in the
literature. We will then prove that our equalities in this case are violated by
quantum theory too, and they tolerate much more white noise than inequalities.


title: Approximately bisimilar symbolic models for nonlinear control systems

abstract:
  Control systems are usually modeled by differential equations describing how
physical phenomena can be influenced by certain control parameters or inputs.
Although these models are very powerful when dealing with physical phenomena,
they are less suitable to describe software and hardware interfacing the
physical world. For this reason there is a growing interest in describing
control systems through symbolic models that are abstract descriptions of the
continuous dynamics, where each "symbol" corresponds to an "aggregate" of
states in the continuous model. Since these symbolic models are of the same
nature of the models used in computer science to describe software and
hardware, they provide a unified language to study problems of control in which
software and hardware interact with the physical world. Furthermore the use of
symbolic models enables one to leverage techniques from supervisory control and
algorithms from game theory for controller synthesis purposes. In this paper we
show that every incrementally globally asymptotically stable nonlinear control
system is approximately equivalent (bisimilar) to a symbolic model. The
approximation error is a design parameter in the construction of the symbolic
model and can be rendered as small as desired. Furthermore if the state space
of the control system is bounded the obtained symbolic model is finite. For
digital control systems, and under the stronger assumption of incremental
input-to-state stability, symbolic models can be constructed through a suitable
quantization of the inputs.


title: Standing Spin Waves in an Antiferromagnetic Molecular Cr6 Horseshoe

abstract:
  The antiferromagnetic molecular finite chain Cr6 was studied by inelastic
neutron scattering. The observed magnetic excitations at 2.6 and 4.3 meV
correspond, due to the open boundaries of a finite chain, to standing spin
waves. The determined energy spectrum revealed an essentially classical spin
structure. Hence, various spin-wave theories were investigated in order to
assess their potential for describing the elementary excitations of finite spin
systems.


title: Aperiodic Pointlikes and Beyond

abstract:
  We prove that if $\pi$ is a recursive set of primes, then pointlike sets are
decidable for the pseudovariety of semigroups whose subgroups are $\pi$-groups.
In particular, when $\pi$ is the empty set, we obtain Henckell's decidability
of aperiodic pointlikes. Our proof, restricted to the case of aperiodic
semigroups, is simpler than the original proof.


title:
The Compositions of the Differential Operations and Gateaux Directional
  Derivative

abstract:
  In this paper we determine the number of the meaningful compositions of
higher order of the differential operations and Gateaux directional derivative.


abstract:
  Comment on "Enhanced transmission through periodic arrays of subwavelength
holes: the role of localized waveguide resonances" [Phys.Rev.Lett. 96, 233901
(2006)]


title:
Ginsparg-Wilson Relation and Admissibility Condition in Noncommutative
  Geometry

abstract:
  Ginsparg-Wilson relation and admissibility condition have the key role to
construct lattice chiral gauge theories. They are also useful to define the
chiral structure in finite noncommutative geometries or matrix models. We
discuss their usefulness briefly.


title:
Applying the Z-transform for the static analysis of floating-point
  numerical filters

abstract:
  Digital linear filters are used in a variety of applications (sound
treatment, control/command, etc.), implemented in software, in hardware, or a
combination thereof. For safety-critical applications, it is necessary to bound
all variables and outputs of all filters. We give a compositional, effective
abstraction for digital linear filters expressed as block diagrams, yielding
sound, precise bounds for fixed-point or floating-point implementations of the
filters.


title:
Detection of an H-alpha Emission Line on a Quasar, RX J1759.4+6638, at
  z=4.3 with AKARI

abstract:
  We report the detection of an H-alpha emission line in the low resolution
spectrum of a quasar, RX J1759.4+6638, at a redshift of 4.3 with the InfraRed
Camera (IRC) onboard the AKARI. This is the first spectroscopic detection of an
H-alpha emission line in a quasar beyond z=4. The overall spectral energy
distribution (SED) of RX J1759.4+6638 in the near- and mid-infrared wavelengths
agrees with a median SED of the nearby quasars and the flux ratio of
F(Ly-alpha)/F(H-alpha) is consistent with those of previous reports for
lower-redshift quasars.


title:
Giga-Periodic Orbits for Weakly Coupled Tent and Logistic Discretized
  Maps

abstract:
  We introduce new models of very weakly coupled logistic and tent maps for
which orbits of very long period are found. The length of these periods is far
greater than one billion. The property of these models relatively to the
distribution of the iterated points (invariant measure) is described.


title: Self-equivalence 3rd order ODEs by time-fixed transformations

abstract:
  Let y''' = f(x, y, y', y'') be a 3rd order ODE. By Cartan equivalence method,
we will study the local equivalence problem under the transformations group of
time-fixed coordinates.


title:
Proof of generalized Riemann hypothesis for Dedekind zetas and Dirichlet
  L-functions

abstract:
  A short proof of the generalized Riemann hypothesis (gRH in short) for zeta
functions $\zeta_{k}$ of algebraic number fields $k$ - based on the Hecke's
proof of the functional equation for $\zeta_{k}$ and the method of the proof of
the Riemann hypothesis derived in [$M_{A}$] (algebraic proof of the Riemann
hypothesis) is given. The generalized Riemann hypothesis for Dirichlet
L-functions is an immediately consequence of (gRH) for $\zeta_{k}$ and suitable
product formula which connects the Dedekind zetas with L-functions.


title:
Grazing dynamics and dependence on initial conditions in certain systems
  with impacts

abstract:
  Dynamics near the grazing manifold and basins of attraction for a motion of a
material point in a gravitational field, colliding with a moving
motion-limiting stop, are investigated. The Poincare map, describing evolution
from an impact to the next impact, is derived. Periodic points are found and
their stability is determined. The grazing manifold is computed and dynamics is
approximated in its vicinity. It is shown that on the grazing manifold there
are trapping as well as forbidden regions. Finally, basins of attraction are
studied.


title:
In-medium Pions and Partial Restoration of Chiral Symmetry: a
  model-independent analysis

abstract:
  Exploiting operator relations in QCD, we derive a novel and model-independent
formula relating the in-medium quark condensate <bar-q q>* to the decay
constant F*_t and the wave function renormalization constant Z* of the pion in
the nuclear medium. Evaluating Z* at low density from the iso-scalar
pion-nucleon scattering data, it is concluded that the enhanced repulsion of
the s-wave isovector pion-nucleusinteraction observed in the deeply bound
pionic atoms implies directly the reduction of the in-medium quark condensate.
The knowlege of the in-medium pion mass is not necessary to reach this
conclusion.


title:
Long-range frustration in T=0 first-step replica-symmetry-broken
  solutions of finite-connectivity spin glasses

abstract:
  In a finite-connectivity spin-glass at the zero-temperature limit, long-range
correlations exist among the unfrozen vertices (whose spin values being
non-fixed). Such long-range frustrations are partially removed through the
first-step replica-symmetry-broken (1RSB) cavity theory, but residual
long-range frustrations may still persist in this mean-field solution. By way
of population dynamics, here we perform a perturbation-percolation analysis to
calculate the magnitude of long-range frustrations in the 1RSB solution of a
given spin-glass system. We study two well-studied model systems, the minimal
vertex-cover problem and the maximal 2-satisfiability problem. This work points
to a possible way of improving the zero-temperature 1RSB mean-field theory of
spin-glasses.


title:
Charged Axially Symmetric Solution and Energy in Teleparallel Theory
  Equivalent to General Relativity

abstract:
  An exact charged solution with axial symmetry is obtained in the teleparallel
equivalent of general relativity (TEGR). The associated metric has the
structure function $G(\xi)=1-{\xi}^2-2mA{\xi}^3-q^2A^2{\xi}^4$. The fourth
order nature of the structure function can make calculations cumbersome. Using
a coordinate transformation we get a tetrad whose metric has the structure
function in a factorisable form $(1-{\xi}^2)(1+r_{+}A\xi)(1+r_{-}A\xi)$ with
$r_{\pm}$ as the horizons of Reissner-Nordstr$\ddot{o}$m space-time. This new
form has the advantage that its roots are now trivial to write down. Then, we
study the singularities of this space-time. Using another coordinate
transformation, we obtain a tetrad field. Its associated metric yields the
Reissner-Nordstr$\ddot{o}$m black hole. In Calculating the energy content of
this tetrad field using the gravitational energy-momentum, we find that the
resulting form depends on the radial coordinate! Using the regularized
expression of the gravitational energy-momentum in the teleparallel equivalent
of general relativity we get a consistent value for the energy.


title: High resolution radio continuum survey of M33: I. The radio maps

abstract:
  We study the exponential scale length of total radio emission, the spectral
index distribution, and the linear radio polarization in the Scd galaxy M33.
Observations were carried out using the 3.6 cm dual channel and the 6.2 cm four
channel receivers of the 100--m Effelsberg telescope along with the L-band VLA
D--array at 20 cm. High spatial resolution and sensitivity in both total and
linearly polarized radio continuum emission from M33 were achieved. We found
considerable extended emission, not only from the main arms I S and I N, but
also from the weaker arms. The large--scale magnetic field exhibits
well--ordered spiral structure with almost the same orientation as that of the
optical spiral arms, however, it does not show a clear structural correlation
or anti--correlation with the optical arms. There is a north-south asymmetry in
polarization that is frequency-dependent. We found that the ring mean spectral
index versus radius increases faster beyond $R$ = 4 kpc. At each wavelength,
the exponential scale length is larger inside than outside $R$ = 4 kpc. From
the larger scales lengths at $R$ $<$ 4 kpc, we conclude that star forming
regions are mainly spread over the region $R$ $<$ 4 kpc without a dominant
nuclear concentration. Furthermore, at $R$ $<$ 4 kpc, a spatial correlation
between cosmic rays and star forming regions may exist. From the behaviour of
the mean spectral indices obtained from different pairs of the radio continuum
data at 3.6, 6.2, and 20 cm, we confirm that a decrease in the thermal fraction
causes an increase in the spectral index. The frequency-dependent asymmetry in
the polarization hints to an asymmetry in Faraday depolarization.


title: Spatial and kinematic alignments between central and satellite halos

abstract:
  Based on a cosmological N-body simulation we analyze spatial and kinematic
alignments of satellite halos within six times the virial radius of group size
host halos (Rvir). We measure three different types of spatial alignment: halo
alignment between the orientation of the group central substructure (GCS) and
the distribution of its satellites, radial alignment between the orientation of
a satellite and the direction towards its GCS, and direct alignment between the
orientation of the GCS and that of its satellites. In analogy we use the
directions of satellite velocities and probe three further types of alignment:
the radial velocity alignment between the satellite velocity and connecting
line between satellite and GCS, the halo velocity alignment between the
orientation of the GCS and satellite velocities and the auto velocity alignment
between the satellites orientations and their velocities. We find that
satellites are preferentially located along the major axis of the GCS within at
least 6 Rvir (the range probed here). Furthermore, satellites preferentially
point towards the GCS. The most pronounced signal is detected on small scales
but a detectable signal extends out to 6 Rvir. The direct alignment signal is
weaker, however a systematic trend is visible at distances < 2 Rvir. All
velocity alignments are highly significant on small scales. Our results suggest
that the halo alignment reflects the filamentary large scale structure which
extends far beyond the virial radii of the groups. In contrast, the main
contribution to the radial alignment arises from the adjustment of the
satellite orientations in the group tidal field. The projected data reveal good
agreement with recent results derived from large galaxy surveys. (abridged)


title: Black hole mass and angular momentum in topologically massive gravity

abstract:
  We extend the Abbott-Deser-Tekin approach to the computation of the Killing
charge for a solution of topologically massive gravity (TMG) linearized around
an arbitrary background. This is then applied to evaluate the mass and angular
momentum of black hole solutions of TMG with non-constant curvature
asymptotics. The resulting values, together with the appropriate black hole
entropy, fit nicely into the first law of black hole thermodynamics.


title: Adiabatic Approximation Condition

abstract:
  In this paper, we present an invariant perturbation theory of the adiabatic
process based on the concepts of U(1)-invariant adiabatic orbit and
U(1)-invariant adiabatic expansion. As its application, we propose and discuss
new adiabatic approximation conditions.


title: Thermodynamic Properties of Ferromagnetic Mott- Insulators GaV4S8

abstract:
  We present the results of the magnetic and specific heat measurements on V4
tetrahedral-cluster compound GaV4S8 between 2 to 300K. We find two transitions
related to a structural change at 42K followed by ferromagnetic order at 12K on
cooling. Remarkably similar properties were previously reported for the cluster
compounds of Mo4. These compounds show an extremely high density of low energy
excitations in their electronic properties. We explain this behavior in a
cluster compound as due to the reduction of coulomb repulsion among electrons
that occupy highly degenerate orbits of different clusters.


title: Giant magnetoresistance in nanoscale ferromagnetic heterocontacts

abstract:
  A quasiclassical theory of giant magnetoresistance in nanoscale point
contacts between different ferromagnetic metals is developed. The contacts were
sorted by three types of mutual positions of the conduction spin-subband
bottoms which are shifted one against another by the exchange interaction. A
model of linear domain wall has been used to account for the finite contact
length. The magnetoresistance is plotted against the size of the nanocontact.
In heterocontacts the magnetoresistance effect turned out to be not only
negative, as usual, but can be positive as well. Relevance of the results to
existing experiments on GMR in point heterocontacts is discussed.


title:
Microscopic theory of quantum dot interactions with quantum light: local
  field effect

abstract:
  A theory of both linear and nonlinear electromagnetic response of a single QD
exposed to quantum light, accounting the depolarization induced local--field
has been developed. Based on the microscopic Hamiltonian accounting for the
electron--hole exchange interaction, an effective two--body Hamiltonian has
been derived and expressed in terms of the incident electric field, with a
separate term describing the QD depolarization. The quantum equations of motion
have been formulated and solved with the Hamiltonian for various types of the
QD excitation, such as Fock qubit, coherent fields, vacuum state of
electromagnetic field and light with arbitrary photonic state distribution. For
a QD exposed to coherent light, we predict the appearance of two oscillatory
regimes in the Rabi effect separated by the bifurcation. In the first regime,
the standard collapse--revivals phenomenon do not reveal itself and the QD
population inversion is found to be negative, while in the second one, the
collapse--revivals picture is found to be strongly distorted as compared with
that predicted by the standard Jaynes-Cummings model. %The model developed can
easily be extended to %%electromagnetic excitation. For the case of QD
interaction with arbitrary quantum light state in the linear regime, it has
been shown that the local field induce a fine structure of the absorbtion
spectrum. Instead of a single line with frequency corresponding to which the
exciton transition frequency, a duplet is appeared with one component shifted
by the amount of the local field coupling parameter. It has been demonstrated
the strong light--mater coupling regime arises in the weak-field limit. A
physical interpretation of the predicted effects has been proposed.


title:
Forward and Backward time observables for quantum evolution and quantum
  stochastic processes-I: The time observables

abstract:
  Given a Hamiltonian $H$ on a Hilbert space $\mathcal H$ it is shown that,
under the assumption that $\sigma(H)=\sigma_{ac}(H)=R^+$, there exist unique
positive operators $T_F$ and $T_B$ registering the Schr\"odinger time evolution
generated by $H$ in the forward (future) direction and backward (past)
direction respectively. These operators may be considered as time observables
for the quantum evolution. Moreover, it is shown that the same operators may
serve as time observables in the construction of quantum stochastic
differential equations and quantum stochastic processes in the framework of the
Hudson-Parthasarathy quantum stochastic calculus. The basic mechanism enabling
for the definition of the time observables originates from the recently
developed semigroup decomposition formalism used in the description of the time
evolution of resonances in quantum mechanical scattering problems.


title:
Magnetic impurities in a superconductor: Effect of domain walls and
  interference

abstract:
  We consider the effect of magnetic impurities, modeled by classical spins, in
a conventional superconductor. We study their effect on the quasiparticles,
specifically on the spin density and local density of states (LDOS). As
previously emphasized, the impurities induce multiple scatterings of the
quasiparticle wave functions leading to complex interference phenomena. Also,
the impurities induce quantum phase transitions in the many-body system.
Previous authors studied the effect of either a small number of impurities
(from one to three) or a finite concentration of impurities, typically in a
disordered distribution. In this work we assume a regular set of spins
distributed inside the superconductor in such a way that the spins are
oriented, forming different types of domain walls, assumed stable. This
situation may be particularly interesting in the context of spin transfer due
to polarized currents traversing the material.


title:
Keck spectroscopy and Spitzer Space Telescope analysis of the outer disk
  of the Triangulum Spiral Galaxy M33

abstract:
  In an earlier study of the spiral galaxy M33, we photometrically identified
arcs or outer spiral arms of intermediate age (0.6 Gyr - 2 Gyr) carbon stars
precisely at the commencement of the HI-warp. Stars in the arcs were
unresolved, but were likely thermally-pulsing asymptotic giant branch carbon
stars. Here we present Keck I spectroscopy of seven intrinsically bright and
red target stars in the outer, northern arc in M33. The target stars have
estimated visual magnitudes as faint as V \sim 25 mag. Absorption bands of CN
are seen in all seven spectra reported here, confirming their carbon star
status. In addition, we present Keck II spectra of a small area 0.5 degree away
from the centre of M33; the target stars there are also identified as carbon
stars. We also study the non-stellar PAH dust morphology of M33 secured using
IRAC on board the Spitzer Space Telescope. The Spitzer 8 micron image attests
to a change of spiral phase at the start of the HI warp. The Keck spectra
confirm that carbon stars may safely be identified on the basis of their red
J-K_s colours in the outer, low metallicity disk of M33. We propose that the
enhanced number of carbon stars in the outer arms are an indicator of recent
star formation, fueled by gas accretion from the HI-warp reservoir.


title: A Geometric Zero-One Law

abstract:
  Each relational structure X has an associated Gaifman graph, which endows X
with the properties of a graph. Suppose that X is infinite, connected and of
bounded degree. A first-order sentence in the language of X is almost surely
true (resp. a.s. false) for finite substructures of X if for every element x in
X, the fraction of substructures of the ball of radius n around x which satisfy
the sentence approaches 1 (resp. 0) as n approaches infinity. Suppose further
that, for every finite substructure, X has a disjoint isomorphic substructure.
Then every sentence is a.s. true or a.s. false for finite substructures of X.
This is one form of the geometric zero-one law. We formulate it also in a form
that does not mention the ambient infinite structure. In addition, we
investigate various questions related to the geometric zero-one law.


title:
Linearizing torsion classes in the Picard group of algebraic curves over
  finite fields

abstract:
  We address the problem of computing in the group of $\ell^k$-torsion rational
points of the jacobian variety of algebraic curves over finite fields, with a
view toward computing modular representations.


title: Generalized uncertainty principle in Bianchi type I quantum cosmology

abstract:
  We study a quantum Bianchi type I model in which the dynamical variables of
the corresponding minisuperspace obey the generalized Heisenberg algebra. Such
a generalized uncertainty principle has its origin in the existence of a
minimal length suggested by quantum gravity and sting theory. We present
approximate analytical solutions to the corresponding Wheeler-DeWitt equation
in the limit where the scale factor of the universe is small and compare the
results with the standard commutative and noncommutative quantum cosmology.
Similarities and differences of these solutions are also discussed.


title: The effect of reionization on the CMB-density correlation

abstract:
  In this paper we show how the rescattering of CMB photons after cosmic
reionization can give a significant linear contribution to the
temperature-matter cross-correlation measurements. These anisotropies, which
arise via a late time Doppler effect, are on scales much larger than the
typical scale of non-linear effects at reionization; they can contribute to
degree scale cross-correlations and could affect the interpretation of similar
correlations resulting from the integrated Sachs-Wolfe effect. While expected
to be small at low redshifts, these correlations can be large given a probe of
the density at high redshift, and so could be a useful probe of the cosmic
reionization history.


title: New Superstring Isometries and Hidden Dimensions

abstract:
  We explore the hierarchy of hidden space-time symmetries of noncritical
strings in RNS formalism, realized nonlinearly. Under these symmetry
transformations the variation of the matter part of the RNS action is cancelled
by that of the ghost part. These symmetries, referred to as the
$\alpha$-symmetries, are induced by special space-time generators, violating
the equivalence of ghost pictures. We classify the $\alpha$-symmetry generators
in terms of superconformal ghost cohomologies $H_{n}\sim{H_{-n-2}}(n\geq{0})$
and associate these generators with a chain of hidden space-time dimensions,
with each ghost cohomology $H_{n}\sim{H_{-n-2}}$ ``contributing'' an extra
dimension. Namely, we show that each ghost cohomology $H_{n}\sim{H_{-n-2}}$ of
non-critical superstring theory in $d$-dimensions contains $d+n+1$
$\alpha$-symmetry generators and the generators from
$H_{k}\sim{H_{-k-2}},1\leq{k}\leq{n}$, combined together, extend the space-time
isometry group from the naive $SO(d,2)$ to $SO(d+n,2)$. In the simplest case of
$n=1$ the $\alpha$-generators are identified with the extra symmetries of the
$2T$-physics formalism, also known to originate from a hidden space-time
dimension.


title: Optical control and decoherence of spin qubits in quantum dots

abstract:
  We discuss various methods of all-optical spin control in semiconductor
quantum dots. We present different ways of rotating a single confined electron
spin by optical coupling to a trion state. We also discuss a method for
controlling the polarization of a confined exciton via a two-photon transition.
Finally, we analyze the effect of phonon-induced decoherence on the fidelity of
these optical spin control protocols.


title: A massive high density effective theory

abstract:
  We derive an effective theory for dense, cold and massive quark matter. To
this end, we employ a general effective action formalism where antiquarks and
quarks far from the Fermi surface, as well as hard gluons, are integrated out
explicitly. We show that the resulting effective action depends crucially on
the projectors used to separate quarks from antiquarks. If one neglects the
quark masses in these projectors, the Feynman rules of the effective theory
involve quark mass insertions which connect quark with antiquark propagators.
Including the quark masses into these projectors, mass insertions do not appear
and the Feynman rules are identical to those found in the zero-mass limit.


title:
Detection of a Rare Supersoft Outburst Event during a Suzaku Observation
  of 1E0102.2-7219

abstract:
  We report the detection of a transient X-ray source toward the Small
Magellanic Cloud (SMC) using the X-ray Imaging Spectrometer (XIS) onboard the
Suzaku telescope. The source was detected at the edge of the XIS image during a
routine observation of the calibration source 1E 0102.2-7219, a supernova
remnant in the SMC. We constrained the source position using ray-tracing
simulations. No such transient source was found at the position in the other
Suzaku observations nor in all the available archived images of other X-ray
missions for the last ~28 years. The XIS spectrum can be explained by a single
blackbody with a temperature of ~72 eV, and an interstellar extinction of
~4.9x10^{20} H atoms cm^{-2} consistent with the value to the SMC. An
additional absorption edge at ~0.74 keV was also confirmed, which is presumably
due to the absorption by helium-like oxygen ions. Assuming that the source is
at the distance of the SMC, the X-ray luminosity in the 0.2-2.0 keV band is
~10^{37} erg s^{-1} and the radius of the source is ~10^{8} cm. The XIS light
curve shows about a two-fold decline in X-ray flux during the 24 ks
observation. Together with the archived data, the X-ray flux in the burst is at
least three orders of magnitude brighter than the undetected quiescent level.
All these properties are often seen among supersoft sources (SSSs). We conclude
that the transient source is another example of SSS in the SMC.


title:
Hubble and Spitzer Observations of an Edge-on Circumstellar Disk around
  a Brown Dwarf

abstract:
  We present observations of a circumstellar disk that is inclined close to
edge-on around a young brown dwarf in the Taurus star-forming region. Using
data obtained with SpeX at the NASA Infrared Telescope Facility, we find that
the slope of the 0.8-2.5 um spectrum of the brown dwarf 2MASS J04381486+2611399
cannot be reproduced with a photosphere reddened by normal extinction. Instead,
the slope is consistent with scattered light, indicating that circumstellar
material is occulting the brown dwarf. By combining the SpeX data with mid-IR
photometry and spectroscopy from the Spitzer Space Telescope and previously
published millimeter data from Scholz and coworkers, we construct the spectral
energy distribution for 2MASS J04381486+2611399 and model it in terms of a
young brown dwarf surrounded by an irradiated accretion disk. The presence of
both silicate absorption at 10 um and silicate emission at 11 um constrains the
inclination of the disk to be ~70 deg, i.e. ~20 deg from edge-on. Additional
evidence of the high inclination of this disk is provided by our detection of
asymmetric bipolar extended emission surrounding 2MASS J04381486+2611399 in
high-resolution optical images obtained with the Hubble Space Telescope.
According to our modeling for the SED and images of this system, the disk
contains a large inner hole that is indicative of a transition disk (R_in~58
R_star~0.275 AU) and is somewhat larger than expected from embryo ejection
models (R_out=20-40 AU vs. R_out<10-20 AU).


title: Multi-Agent Modeling Using Intelligent Agents in the Game of Lerpa

abstract:
  Game theory has many limitations implicit in its application. By utilizing
multiagent modeling, it is possible to solve a number of problems that are
unsolvable using traditional game theory. In this paper reinforcement learning
is applied to neural networks to create intelligent agents


title: New Kinds of Acoustic Solitons

abstract:
  We find that the modified sine-Gordon equation belonging to the class of the
soliton equations describes the propagation of extremely short transverse
acoustic pulses through the low-temperature crystal containing paramagnetic
impurities with effective spin S=1/2 in the Voigt geometry case. The features
of nonlinear dynamics of strain field and effective spins, which correspond to
the different kinds of acoustic solitons, are studied.


title: Single Top Results from CDF

abstract:
  The CDF Collaboration has analyzed 955/pb of CDF II data to search for
electroweak single top quark production at the Tevatron. We employ three
different analysis techniques to search for a single top signal: multivariate
likelihood functions; neural networks; the matrix element analysis technique.
The sensitivities to a single top signal at the rate predicted by the Standard
Model are 2.1 - 2.6 sigma. The first two analyses observe a deficit of single
top-like events and set upper limits on the production cross section. The
matrix element analysis observes a 2.3 sigma single top excess and measures a
combined t-channel and s-channel cross section of 2.7 +1.5-1.3 pb. Using the
same dataset, we have searched for non-Standard Model production of single top
quarks through a heavy W' boson resonance. No evidence for a signal is
observed. We exclude at the 95 % C.L. W' boson production with masses of 760
GeV/c^2 (790 GeV/c^2) in case the right handed neutrino is smaller (larger)
than the mass of the W' boson.


title: Testing and selection of cosmological models with $(1+z)^6$ corrections

abstract:
  In the paper we check whether the contribution of $(-)(1+z)^6$ type in the
Friedmann equation can be tested. We consider some astronomical tests to
constrain the density parameters in such models. We describe different
interpretations of such an additional term: geometric effects of Loop Quantum
Cosmology, effects of braneworld cosmological models, non-standard cosmological
models in metric-affine gravity, and models with spinning fluid. Kinematical
(or geometrical) tests based on null geodesics are insufficient to separate
individual matter components when they behave like perfect fluid and scale in
the same way. Still, it is possible to measure their overall effect. We use
recent measurements of the coordinate distances from the Fanaroff-Riley type
IIb (FRIIb) radio galaxy (RG) data, supernovae type Ia (SNIa) data, baryon
oscillation peak and cosmic microwave background radiation (CMBR) observations
to obtain stronger bounds for the contribution of the type considered. We
demonstrate that, while $\rho^2$ corrections are very small, they can be tested
by astronomical observations -- at least in principle. Bayesian criteria of
model selection (the Bayesian factor, AIC, and BIC) are used to check if
additional parameters are detectable in the present epoch. As it turns out, the
$\Lambda$CDM model is favoured over the bouncing model driven by loop quantum
effects. Or, in other words, the bounds obtained from cosmography are very
weak, and from the point of view of the present data this model is
indistinguishable from the $\Lambda$CDM one.


title: First Run II Measurement of the W Boson Mass with CDF

abstract:
  The CDF collaboration has analyzed ~200/pb of Tevatron Run II data taken
between February 2002 and September 2003 to measure the W boson mass. With a
sample of 63964 W->e nu decays and 51128 W->mu nu decays, we measure M_W =
80413+-34(stat)+-34(syst) MeV. The total measurement uncertainty of 48 MeV
makes this result the most precise single measurement of the W boson mass to
date.


title: Baer and Mittag-Leffler modules over tame hereditary algebras

abstract:
  We develop a structure theory for two classes of infinite dimensional modules
over tame hereditary algebras: the Baer modules, and the Mittag-Leffler ones.


title: The social aspects of quantum entanglement

abstract:
  This brief article discusses some aspects of quantum theory and their impact
on popular culture. The basic features of quantum entanglement between two or
more parties are introduced in a language suitable for a general audience, and
metaphorically connected to love and faithfulness in human relationships.


title: On the antipode of a co-Frobenius (co)quasitriangular Hopf algebra

abstract:
  We extend to the co-Frobenius case a result of Drinfeld and Radford related
to the fourth power of the antipode of a finite dimensional (co)quasitriangular
Hopf algebra.


title: Bumpy black holes from spontaneous Lorentz violation

abstract:
  We consider black holes in Lorentz violating theories of massive gravity. We
argue that in these theories black hole solutions are no longer universal and
exhibit a large number of hairs. If they exist, these hairs probe the
singularity inside the black hole providing a window into quantum gravity. The
existence of these hairs can be tested by future gravitational wave
observatories. We generically expect that the effects we discuss will be larger
for the more massive black holes. In the simplest models the strength of the
hairs is controlled by the same parameter that sets the mass of the graviton
(tensor modes). Then the upper limit on this mass coming from the inferred
gravitational radiation emitted by binary pulsars implies that hairs are likely
to be suppressed for almost the entire mass range of the super-massive black
holes in the centers of galaxies.


title:
Local structure evolution in polycrystalline Zn$_{1-x}$Mg$_x$O
  ($0\leq{x}\leq{0.15}$) studied by Raman and by synchrotron x-ray pair
  distribution analysis

abstract:
  The local structures of Zn$_{1-x}$Mg$_x$O alloys have been studied by Raman
spectroscopy and by synchrotron x-ray pair distribution function (PDF)
analysis. Within the solid solution range ($0\leq{x}\leq{0.15}$) of
Zn$_{1-x}$Mg$_x$O, the wurtzite framework is maintained with Mg homogeneously
distributed throughout the wurtzite lattice. The $E_2^\mathrm{high}$ Raman line
of Zn$_{1-x}$Mg$_x$O displays systematic changes in response to the evolution
of the crystal lattice upon the Mg-substitution. The red-shift and broadening
of the $E_2^\mathrm{high}$ mode are explained by the expansion of hexagonal
$ab$-dimensions, and compositional disorder of Zn/Mg, respectively. Synchrotron
x-ray PDF analyses of Zn$_{1-x}$Mg$_x$O reveal that the Mg atoms have a
slightly reduced wurtzite parameter $u$ and more regular tetrahedral bond
distances than the Zn atoms. For both Zn and Mg, the internal tetrahedral
geometries are independent of the alloy composition.


title: Parametrization of Pythagorean triples by a single triple of polynomials

abstract:
  It is well known that Pythagorean triples can be parametrized by two triples
of polynomials with integer coefficients. We show that no single triple of
polynomials with integer coefficients in any number of variables is sufficient,
but that there exists a parametrization of Pythagorean triples by a single
triple of integer-valued polynomials.


title:
Semi-empirical pressure-volume-temperature equation of state; MgSiO3
  perovskite is an example

abstract:
  Simple general formula describing the p-V-T relationships of elastic solids
is derived from theoretical considerations. The new EoS was tested to
experiments of perovskite 0-109 GPa and 293-2000 K. The parameters providing
the best fit are: Ko = 267.5 GPa, Vo = 24.284 cm3, alpha_o = 2.079x10^-5 K^-1,
the pressure derivative of Ko is 1.556 and the pressure derivative of alpha_o
is -1.098x10^-7 K^-1GPa^-1 . The root-mean-square-deviations (RMSD) of the
residuals are 0.043 cm3, 0.79 GPa, and 125 K for the molar volume, pressure,
and temperature respectively. These RMSD values are in the range of the
uncertainty of the experiments, indicating that the five parameters
semi-empirical EoS correctly describes the p-V-T relationships of perovskite.
Separating the experiments into 200 K ranges the semi-empirical EoS was
compared to the most widely used finite strain, interatomic potential, and
empirical isothermal EoSs such as the Birch-Murnaghan, the Vinet, and the
Roy-Roy respectively. Correlation coefficients, RMSDs of the residuals and
Akaike Information Criteria were used for evaluating the fitting. Based on
these fitting parameters under pure isothermal conditions the semi-empirical
p-V EoS is slightly weaker than the Birch-Murnaghan and Vinet EoSs; however,
the semi-empirical p-V-T EoS is superior in every temperature range to all of
the investigated conventional isothermal EoSs.


title: Remarks on polynomial parametrization of sets of integer points

abstract:
  If, for a subset S of Z^k, we compare the conditions of being parametrizable
(a) by a single k-tuple of polynomials with integer coefficients, (b) by a
single k-tuple of integer-valued polynomials and, (c) by finitely many k-tuples
of polynomials with integer coefficients (variables ranging through the
integers in each case) then (a) implies (b) (obviously), (b) implies (c), and
neither converse holds. Condition (b) is equivalent to the set S being the set
of integer values taken by some k-tuple of polynomials with rational
coefficients as the variables range through the integers. We also show that
every co-finite subset of Z^k is parametrizable a single k-tuple of polynomials
with integer coefficients.


title:
Gauge mediated supersymmetry breaking without exotics in orbifold
  compactification

abstract:
  We suggest SU(5)$'$ in the hidden sector toward a possible gauge mediated
supersymmetry breaking scenario for removing the SUSY flavor problem, with an
example constructed in $\Z_{12-I}$ with three families. The example we present
has the Pati-Salam type classification of particles in the observable sector
and has no exotics at low energy. We point out that six or seven very light
pairs of ${\bf 5}'$ and $\bar{\bf 5}'$ out of ten vectorlike $\five'$ and
$\fiveb'$ pairs of SU(5)$'$ is achievable, leading to a possibility of an
unstable supersymmetry breaking vacuum. The possibility of different
compactification radii of three two tori toward achieving the needed coupling
strength is also suggested.


title:
Mixed membership analysis of high-throughput interaction studies:
  Relational data

abstract:
  In this paper, we consider the statistical analysis of a protein interaction
network. We propose a Bayesian model that uses a hierarchy of probabilistic
assumptions about the way proteins interact with one another in order to: (i)
identify the number of non-observable functional modules; (ii) estimate the
degree of membership of proteins to modules; and (iii) estimate typical
interaction patterns among the functional modules themselves. Our model
describes large amount of (relational) data using a relatively small set of
parameters that we can reliably estimate with an efficient inference algorithm.
We apply our methodology to data on protein-to-protein interactions in
saccharomyces cerevisiae to reveal proteins' diverse functional roles. The case
study provides the basis for an overview of which scientific questions can be
addressed using our methods, and for a discussion of technical issues.


title: Can infrared gravitons screen $\Lambda$?

abstract:
  It has been suggested that infrared gravitons in de Sitter space may lead to
a secular screening of the effective cosmological constant. This seems to clash
with the naive expectation that the curvature scalar should stay constant due
to the Heisenberg equation of motion. Here, we show that the tadpole correction
to the local expansion rate, which has been used in earlier analyses as an
indicator of a decaying effective $\Lambda$, is not gauge invariant. On the
other hand, we construct a gauge invariant operator which measures the
renormalized curvature scalar smeared over an arbitrary window function, and we
find that there is no secular screening of this quantity (to any given order in
perturbation theory).


title:
Analysis of the vertices D^*D^* P, D^*D V and DDV with light-cone QCD
  sum rules

abstract:
  In this article, we study the vertices $D^*D^*P$, $D^*DV$ and DDV with the
light-cone QCD sum rules. The strong coupling constants g_{D^*D^*P}, g_{D^*DP},
f_{D^*DV}, f_{D^*D^*V}, g_{DDV} and g_{D^*D^*V} play an important role in
understanding the final-state interactions in the hadronic B decays. They
relate to the basic parameters g, $\lambda$ and $\beta$ in the heavy quark
effective Lagrangian respectively. Our numerical values of the g, $\beta$ and
$\lambda$ are much smaller than most of the existing estimations. If the
predictions from the light-cone QCD sum rules are robust, the final-state
interaction effects maybe overestimated in the hadronic B decays.


title: Search for a kaonic nuclear state via $^4$He$(K^-, N)$

abstract:
  Very recently, we have performed a couple of experiments, {\it{KEK
PS-E549/E570}}, for the detailed study of the strange tribaryon $S^0(3115)$
obtained in {\it{KEK PS-E471}}. These experiments were performed to accumulate
much higher statistics with improved experimental apparatusespecially for the
better proton spectroscopy of the $^4$He({\it{stopped K}}$^-$, {\it{N}})
reaction. In contrast to the previous proton spectrum, no narrow ($\sim$ 20
MeV) peak structure was found either in the inclusive $^4$He({\it{stopped
K}}$^-$, {\it{p}}) or in the semi-inclusive $^4$He({\it{stopped K}}$^-$,
{\it{p}}$X^\pm$) reaction channel, which is equivalent to the previous $E471$
event trigger condition. Detailed analysis of the present data and simulation
shows that the peak, corresponding to $S^0(3115)$, has been an experimental
artifact. Present analysis does not exclude the possible existence of a much
wider structure. To be sensitive to such structure and for better understanding
of the non-mesonic $K^-$ absorption reaction channel, detailed analysis of the
data is in progress.


title:
The rectifiability of singular sets for geometric flows (I)--Yang-Mills
  flow

abstract:
  We prove that monotonicity of density and energy inequality imply the
rectifiability of the singular sets for Yang-Mills flow.


title: Invariant Perturbation Theory of Adiabatic Process

abstract:
  In this paper we present an invariant perturbation theory to adiabatic
process according to the concepts of adiabatic orbits, adiabatic evolution
orbit and U(1)-invariant adiabatic orbit. The probabilities of keeping the
adiabatic orbit in the first-order and the second-order approximation are
calculated, respectively. We also give a convenient sufficient condition.


title:
Automatic Detection of Pulmonary Embolism using Computational
  Intelligence

abstract:
  This article describes the implementation of a system designed to
automatically detect the presence of pulmonary embolism in lung scans. These
images are firstly segmented, before alignment and feature extraction using
PCA. The neural network was trained using the Hybrid Monte Carlo method,
resulting in a committee of 250 neural networks and good results are obtained.


title: Generalized Electromagnetic fields of Dyons in Inhomogenous Media

abstract:
  Reformulation of the generalized electromagnetic fields of dyons has been
dicussed in inhomogenous media and corresponding quaternionic equations are
derived in compact, simple and unique manner. We have also discussed the
monochromatic fields of generalized electromagnetic fields of dyons in slowly
changing media in a consistent manner.


title:
Neutrino Decays and Neutrino Electron Elastic Scattering in Unparticle
  Physics

abstract:
  Following Georgi's unparticle scheme, we examine the effective couplings
between neutrinos and unparticle operators. As an immediate consequence,
neutrinos become unstable and can decay into the unparticle stuff. Assuming the
dimension transmutation scale is around $\Lambda^{}_{\cal U} \sim 1 ~{\rm
TeV}$, we implement the cosmological limit on the neutrino lifetime to
constrain the neutrino-unparticle couplings for different scaling dimensions
$d$. In addition, provided that the electron-unparticle coupling is restricted
due to the precise measurement of the anomalous magnetic moment of electron, we
calculate the unparticle contribution to the neutrino-electron elastic
scattering. It is more important to jointly deal with the couplings of the
unparticle to the standard model particles rather than separately. Taking into
account both electron- and neutrino-unparticle couplings, we find that the
scaling dimension of the scalar unparticle should lie in the narrow range $1 <
d < 2$ by requiring the observables to be physically meaningful. However, there
is no consistent range of $d$ for the vector unparticle operator.


title: A hybrid model for fusion at deep sub-barrier energies

abstract:
  A hybrid model where the tunneling probability is estimated based on both
sudden and adiabatic approaches has been proposed to understand the heavy ion
fusion phenomena at deep sub-barrier energies. It is shown that under certain
approximations, it amounts to tunneling through two barriers: one while
overcoming the normal Coulomb barrier (which is of sudden nature) along the
radial direction until the repulsive core is reached and thereafter through an
adiabatic barrier along the neck degree of freedom while making transition from
a di-nuclear to a mono-nuclear regime through shape relaxation. A general
feature of this hybrid model is a steep fall-off of the fusion cross section,
sharp increase of logarithmic derivative L(E) with decreasing energy and the
astrophysical S-factor showing a maxima at deep sub-barrier energies
particularly for near symmetric systems. The model can explain the experimental
fusion measurements for several systems ranging from near symmetric systems
like $^{58}Ni+^{64}Ni, ^{58}Ni+^{58}Ni$ and $ ^{58}Ni+^{69}Y$ to asymmetric one
like $^{16}O+^{208}Pb$ where the experimental findings are very surprising.
Since the second tunneling is along the neck co-ordinate, it is further
conjectured that deep sub-barrier fusion supression may not be observed for the
fusion of highly asymmetric projectile target combinations where adiabatic
transition occurs automatically without any hindrance. The recent deep
sub-barrier fusion cross section measurements of $^{6}Li+^{198}Pt$ system
supports this conjecture.


title: Efficient quantum circuit implementation of quantum walks

abstract:
  Quantum walks, being the quantum analogue of classical random walks, are
expected to provide a fruitful source of quantum algorithms. A few such
algorithms have already been developed, including the `glued trees' algorithm,
which provides an exponential speedup over classical methods, relative to a
particular quantum oracle. Here, we discuss the possibility of a quantum walk
algorithm yielding such an exponential speedup over possible classical
algorithms, without the use of an oracle. We provide examples of some highly
symmetric graphs on which efficient quantum circuits implementing quantum walks
can be constructed, and discuss potential applications to quantum search for
marked vertices along these graphs.


title:
CoRoT and asteroseismology. Preparatory work and simultaneous
  ground-based monitoring

abstract:
  The successful launch of the CoRoT (COnvection, ROtation and planetary
Transits) satellite opens a new era in asteroseismology. The space photometry
is complemented by high-resolution spectroscopy and multicolour photometry from
ground, to disclose the pulsational content of the asteroseismic targets in the
most complete way. Some preliminary results obtained with both types of data
are presented. The paper is based on observations collected at S. Pedro Martir,
Serra La Nave, La Silla, and Telescopio Nazionale Galileo Observatories.


title:
Submission of content to a digital object repository using a
  configurable workflow system

abstract:
  The prototype of a workflow system for the submission of content to a digital
object repository is here presented. It is based entirely on open-source
standard components and features a service-oriented architecture. The front-end
consists of Java Business Process Management (jBPM), Java Server Faces (JSF),
and Java Server Pages (JSP). A Fedora Repository and a mySQL data base
management system serve as a back-end. The communication between front-end and
back-end uses a SOAP minimal binding stub. We describe the design principles
and the construction of the prototype and discuss the possibilities and
limitations of work ow creation by administrators. The code of the prototype is
open-source and can be retrieved in the project escipub at
http://sourceforge.net


title:
Wave localization as a manifestation of ray chaos in underwater
  acoustics

abstract:
  Wave chaos is demonstrated by studying a wave propagation in a periodically
corrugated wave-guide. In the limit of a short wave approximation (SWA) the
underlying description is related to the chaotic ray dynamics. In this case the
control parameter of the problem is characterized by the corrugation amplitude
and the SWA parameter. The considered model is fairly suitable and tractable
for the analytical analysis of a wave localization length. The number of
eigenmodes characterized the width of the localized wave packet is estimated
analytically.


title: Sensitivity of ray paths to initial condition

abstract:
  Using a parabolic equation, we consider ray propagation in a waveguide with
the sound speed profile that corresponds to the dynamics of a nonlinear
oscillator. An analytical consideration of the dependence of the travel time on
the initial conditions is presented. Using an exactly solvable model and the
path integral representation of the travel time, we explain the step-like
behavior of the travel time (T) as a function of the starting momentum (p_0)
(related to the starting ray grazing angle (\chi_0) by (p_0=\tan\chi_0)). A
periodic perturbation of the waveguide along the range leads to wave and ray
chaos. We explain an inhomogeneity of distribution of the chaotic ray travel
times, which has obvious maxima. These maxima lead to the clustering of rays
and each maximum relates to a ray identifier, {\em i.e.} to the number of ray
semi--cycles along the ray path.


title: On the decycling of powers and products of cycles

abstract:
  We calculate exact values of the decycling numbers of $C_{m} \times C_{n}$
for $m=3,4$, of $C_{n}^{2}$, and of $C_{n}^{3}$.


title: Quantum superintegrable system for arbitrary spin

abstract:
  In [1] was considered the superintegrable system which describes the magnetic
dipole with spin 1/2 (neutron) in the field of linear current. Here we present
its generalization for any spin which preserves superintegrability. The
dynamical symmetry stays the same as it is for spin 1/2.


title:
Universal factorized formula for the cross-section of two-particle
  scattering

abstract:
  We analyze the process of two-particle scattering with unstable particle in
an intermediate state. It was shown that the cross-section can be represented
in the universal factorized form for an arbitrary set of particles.
Phenomenological analysis of factorization effect is fulfilled.


title: Chiral Perturbation Theory and Baryon Properties

abstract:
  Theoretical as well as experimental progress has been made in the last decade
in describing the properties of baryons. In this review I will mostly report on
the theoretical issues. Two non-perturbative methods are privileged frameworks
for studying these properties in the low energy domain: chiral perturbation
theory, the effective field theory of the Standard Model at energies below 1
GeV and lattice QCD. I will mainly concentrate here on the first one but I will
also discuss the complementarity of the two methods. Chiral extrapolations for
lattice simulations of some nucleon properties will be investigated. I will
then concentrate on processes involving at most two nucleons, describing for
example pion-nucleon and pion-deuteron scattering, pion photo- and
electroproduction off the nucleon and the deuteron and doubly virtual Compton
scattering. Three flavor calculations will also be reviewed.


title: Quasi-periodic oscillations, charge and the gravitomagnetic theory

abstract:
  A new model for the explanation of the high frequency quasi-periodic
oscillations (QPOs) in pulsars, black holes and white dwarfs is presented.
Three circular tori are assumed to be present around the star: an inner torus
with charge $Q_i$, an outer torus with charge $Q_o$ and a torus with
electrically neutral mass $m_m$ in the middle, whereas the star bears a charge
$Q_s$ ($Q_o$ and $Q_s$ have the same sign, $Q_i$ the opposite one). The
frequency $\nu_m$ of the mass current is approximately given by the Kepler
frequency, whereas the frequencies of $Q_i$ and $Q_o$, $\nu_i$ and $\nu_o$,
respectively, are calculated from classical mechanics and Coulomb's law.
  For the explanation of the low frequency QPOs in pulsars and black holes a
special interpretation of the gravitomagnetic theory may be essential. From the
latter theory four new gravitomagnetic precession frequencies are deduced,
which may be identified with the observed low frequency QPOs.
  Predictions of the presented model are compared with observed high frequency
and low frequency QPOs of the pulsars SAX J1808.4--3658, XTE J1807--294, IGR
J00291+5934, SGR 1806--20 and the black hole XTE J1550--564. In addition,
charge flow near the pole of pulsars may explain frequency drift of burst
oscillations. Moreover, charge flow at the equator of SAX J1808.4--3658 may be
the cause of the enigmatic 410 kHz QPO. Furthermore, the Lense-Thirring
frequency is discussed and a modified formula is compared with data of the
pulsars.
  Contrary to pulsars and black holes, the low frequency QPOs of white dwarfs
might be attributed to electromagnetic precession frequencies, deduced in this
work. Predictions are compared with data of the dwarf nova VW Hyi.


title: Lagrangian Approach to Dispersionless KdV Hierarchy

abstract:
  We derive a Lagrangian based approach to study the compatible Hamiltonian
structure of the dispersionless KdV and supersymmetric KdV hierarchies and
claim that our treatment of the problem serves as a very useful supplement of
the so-called r-matrix method. We suggest specific ways to construct results
for conserved densities and Hamiltonian operators. The Lagrangian formulation,
via Noether's theorem, provides a method to make the relation between
symmetries and conserved quantities more precise. We have exploited this fact
to study the variational symmetries of the dispersionless KdV equation.


title: Ring extension problem, Shukla cohomology and Ann-category theory

abstract:
  Every ring extension of $A$ by $R$ induces a pair of group homomorphisms
$\mathcal{L}^{*}:R\to End_\Z(A)/L(A);\mathcal{R}^{*}:R\to End_\Z(A)/R(A),$
preserving multiplication, satisfying some certain conditions. A such 4-tuple
$(R,A,\mathcal{L}^{*},\mathcal{R}^{*})$ is called a ring pre-extension. Each
ring pre-extension induces a $R$-bimodule structure on bicenter $K_A$ of ring
$A,$ and induces an obstruction $k,$ which is a 3-cocycle of $\Z$-algebra $R,$
with coefficients in $R$-bimodule $K_A$ in the sense of Shukla. Each
obstruction $k$ in this sense induces a structure of a regular Ann-category of
type $(R,K_A).$ This result gives us the first application of Ann-category in
extension problems of algebraic structures, as well as in cohomology theories.


title: Skyrme Strings

abstract:
  We construct nontopological string solutions with U(1) Noether charge in the
Skyrme model with a pion mass term, and examine their stability by taking
linear perturbations. The solution exhibits a critical angular velocity beyond
which the configuration energetically prefers to decay by emitting pions. This
critical point is observed as a cusp in the relation between energy and charge.
We find that the maximum length for the string to be stable is comparable to
the size of one skyrmion. Beyond the length, it is unstable to decay. This
instability raises the possiblity of dynamical realization of Skyrme strings
from monopole strings inside a domain wall.


title: Are We Alone in the Multiverse?

abstract:
  It has long been proposed that black hole singularities bounce to deliver
daughter universes. Here the consequences of such a scenario are explored in
light of Lee Smolin's hypothesis of Cosmological Natural Selection and Weak
Anthropic Principle. The explorations lead towards the answer to the question
Are We Alone in the Multiverse?


title: Exact Vacuum Solutions to the Einstein Equation

abstract:
  In this paper, we present a framework for getting a series of exact vacuum
solutions to the Einstein equation. This procedure of resolution is based on a
canonical form of the metric. According to this procedure, the Einstein
equation can be reduced to some 2-dimensional Laplace-like equations or
rotation and divergence equations, which are much convenient for the
resolution.


title: Even more simple cardinal invariants

abstract:
  Using GCH, we force the following: There are continuum many simple cardinal
characteristics with pairwise different values.


title: Properties of Geometric Potential in the Invariant Adiabatic Theory

abstract:
  We concentrate on the geometric potential in the invariant perturbation
theory of quantum adiabatic process which is presented in our recent papers. It
is found out to be related to the geodesic curvature of the spherical curve in
2-dimension quantum systems. We also show that the geometric potential may
affect adiabatic approximation remarkably.


title:
High field superconducting phase diagrams including
  Fulde-Ferrell-Larkin-Ovchinnikov vortex states

abstract:
  Motivated by a striking observation of a Fulde-Ferell-Larkin-Ovchinnikov
(FFLO) vortex state in the heavy fermion material CeCoIn5 in fields {\it
perpendicular} to the superconducting planes (${\bf H} \parallel c$),
superconducting phase diagrams including an FFLO state of quasi two-dimensional
(Q2D) superconductors are systematically studied. In the clean {\it limit}, the
high field superconducting state in the low temperature limit should be not the
FFLO state modulating along ${\bf H}$, appeared in CeCoIn5 in both ${\bf H}
\parallel c$ and ${\bf H} \perp c$, but a different vortex state with a
modulation, induced by the paramagnetism, perpendicular to the field. It is
found that the presence of weak impurities is the origin of the absence in
CeCoIn5 of the latter state and leads to the ${\bf H} \parallel c$ phase
diagram, as seen in CeCoIn5, {\it apparently} different in character from that
in ${\bf H} \perp c$.


title: Loop Spaces and Langlands Parameters

abstract:
  We apply the technique of S^1-equivariant localization to sheaves on loop
spaces in derived algebraic geometry, and obtain a fundamental link between two
families of categories at the heart of geometric representation theory. Namely,
we categorify the well known relationship between free loop spaces, cyclic
homology and de Rham cohomology to recover the category of D-modules on a
smooth stack X as a localization of the category of S^1-equivariant coherent
sheaves on its loop space LX. The main observation is that this procedure
connects categories of equivariant D-modules on flag varieties with categories
of equivariant coherent sheaves on the Steinberg variety and its relatives.
This provides a direct connection between the geometry of finite and affine
Hecke algebras and braid groups, and a uniform geometric construction of all of
the categorical parameters for representations of real and complex reductive
groups. This paper forms the first step in a project to apply the geometric
Langlands program to the complex and real local Langlands programs, which we
describe.


title:
Multiplication of free random variables and the S-transform: the case of
  vanishing mean

abstract:
  This note extends Voiculescu's S-transform based analytical machinery for
free multiplicative convolution to the case where the mean of the probability
measures vanishes. We show that with the right interpretation of the
S-transform in the case of vanishing mean, the usual formula makes perfectly
good sense.


title: Superconductor-insulator duality for the array of Josephson wires

abstract:
  We propose novel model system for the studies of superconductor-insulator
transitions, which is a regular lattice, whose each link consists of
Josephson-junction chain of $N \gg 1$ junctions in sequence. The theory of such
an array is developed for the case of semiclassical junctions with the
Josephson energy $E_J$ large compared to the junctions's Coulomb energy $E_C$.
Exact duality transformation is derived, which transforms the Hamiltonian of
the proposed model into a standard Hamiltonian of JJ array. The nature of the
ground state is controlled (in the absence of random offset charges) by the
parameter $q \approx N^2 \exp(-\sqrt{8E_J/E_C})$, with superconductive state
corresponding to small $q < q_c $. The values of $q_c$ are calculated for
magnetic frustrations $f= 0$ and $f= \frac12$. Temperature of superconductive
transition $T_c(q)$ and $q < q_c$ is estimated for the same values of $f$. In
presence of strong random offset charges, the T=0 phase diagram is controlled
by the parameter $\bar{q} = q/\sqrt{N}$; we estimated critical value
$\bar{q}_c$.


title:
Signals of Unparticles in Low Energy Parity Violation and NuTeV
  Experiment

abstract:
  We have studied the possible signals of unparticle in atomic parity
violation(APV) along an isotope chain and in the NuTeV experiment. The effects
of unparticle physics could be observed in APV, if the uncertainty in relative
neutron/proton radius shift $\delta(\Delta\frac{R_N}{R_P})$ is less than a few
times $10^{-4}$ by measuring the parity violating electron scattering. The
constraints imposed by NuTeV experiment on unparticle physics are discussed in
detail. If the NuTeV results are confirmed by future experiments, we suggest
that unparticle could account for a part of NuTeV anomaly. There exist certain
regions for the unparticle parameters ($\Lambda_{\cal U}$, $d_{\cal U}$,
$c_{V{\cal U}}$ and $c_{A{\cal U}}$), where the NuTeV discrepancy could be
completely explained by unparticle effects and the strange quark asymmetry,
even with or without the contributions from the isoscalarity violation etc. It
is remarkable that these parameter regions are consistent with the constraints
from $b\to s\gamma$


title:
A WENO Algorithm for the Growth of Ionized Regions at the Reionization
  Epoch

abstract:
  We investigate the volume growth of ionized regions around UV photon sources
with the WENO algorithm, which is an effective solver of photon kinetics in the
phase space described by the radiative transfer equation. We show that the
volume growth rate, either of isolated ionized regions or of clustered regions
in merging, generally consists of three phases: fast or relativistic growth
phase at the early stage, slow growth phase at the later stage, and a
transition phase between the fast and slow phases. We also show that the volume
growth of ionized regions around clustered sources with intensity $\dot{E}_i$
($i=1, 2, ...$) would have the same behavior as a single source with intensity
$\dot{E}=\sum_i\dot{E}_i$, if all the distances between nearest neighbor
sources $i$ and $j$ are smaller than $c(t^i_c+t^j_c)$, $t^i_c$ being the time
scale $t_c$ of source $i$. Therefore, a tightly clustered UV photon sources
would lead to a slow growth of ionized volume. This effect would be important
for studying the redshift-dependence of 21cm signals from the reionization
epoch.


title:
Antiferromagnetic correlations near the lower edge of superconducting
  dome in YBCO6+x

abstract:
  Neutron scattering from high-quality YBCO6.334 single crystals with a T$_c$
of 8.4 K shows that there is no coexistence with long-range antiferromagnetic
order at this very low, near-critical doping of $\sim$0.055, in contrast to
claims based on local probe techniques. We find that the neutron resonance seen
in optimally doped YBCO7 and underdoped YBCO6.5, has undergone large softening
and damping. It appears that the overdamped resonance, with a relaxation rate
of 2 meV, is coupled to a zero-energy central mode that grows with cooling and
eventually saturates with no change at or below T$_c$. Although a similar
qualitative behaviour is found for YBCO6.35, our study shows that the central
mode is stronger in YBCO6.334 than YBCO6.35. The system remains subcritical
with short-ranged three dimensional correlations.


title: Homogeneous and heterogeneous nucleation of Lennard-Jones liquids

abstract:
  The homogeneous and heterogeneous nucleation of a Lennard-Jones liquid is
investigated using the umbrella sampling method. The free energy cost of
forming a nucleating droplet is determined as a function of the quench depth,
and the saddle point nature of the droplets is verified using an intervention
technique. The structure and symmetry of the nucleating droplets is found for a
range of temperatures. We find that for deep quenches the nucleating droplets
become more anisotropic and diffuse with no well defined core or surface. The
environment of the nucleating droplets form randomly stacked hexagonal planes.
This behavior is consistent with a spinodal nucleation interpretation. We also
find that the free energy barrier for heterogeneous nucleation is a minimum
when the lattice spacing of the impurity equals the lattice spacing of the
equilibrium crystalline phase. If the lattice spacing of the impurity is
different, the crystal grows into the bulk instead of wetting the impurity.


title:
Parabolic equations with partially VMO coefficients and boundary value
  problems in Sobolev spaces with mixed norms

abstract:
  Second order parabolic equations in Sobolev spaces with mixed norms are
studied. The leading coefficients (except $a^{11}$) are measurable in both time
and one spatial variable, and VMO in the other spatial variables. The
coefficient $a^{11}$ is measurable in time and VMO in the spatial variables.
The unique solvability of equations in the whole space is applied to solving
Dirichlet and oblique derivative problems for parabolic equations defined in a
half-space.


title:
Searching for links between magnetic fields and stellar evolution. II.
  The evolution of magnetic fields as revealed by observations of Ap stars in
  open clusters and associations

abstract:
  The evolution of magnetic fields in Ap stars during the main sequence phase
is presently mostly unconstrained by observation because of the difficulty of
assigning accurate ages to known field Ap stars.
  We are carrying out a large survey of magnetic fields in cluster Ap stars
with the goal of obtaining a sample of these stars with well-determined ages.
In this paper we analyse the information available from the survey as it
currently stands.
  We select from the available observational sample the stars that are probably
(1) cluster or association members and (2) magnetic Ap stars. For the stars in
this subsample we determine the fundamental parameters T_eff, log(L/L_o), and
M/M_o. With these data and the cluster ages we assign both absolute age and
fractional age (the fraction of the main sequence lifetime completed). For this
purpose we have derived new bolometric corrections for Ap stars.
  Magnetic fields are present at the surfaces of Ap stars from the ZAMS to the
TAMS. Statistically for the stars with M > 3 M_o the fields decline with
advancing age approximately as expected from flux conservation together with
increased stellar radius, or perhaps even faster than this rate, on a time
scale of about 3 10^7 yr. In contrast, lower mass stars show no compelling
evidence for field decrease even on a timescale of several times 10^8 yr.
  Study of magnetic cluster stars is now a powerful tool for obtaining
constraints on evolution of Ap stars through the main sequence. Enlarging the
sample of known cluster magnetic stars, and obtaining more precise RMS fields,
will help to clarify the results obtained so far. Further field observations
are in progress.


title: Extended Hubbard model on a C$_{20}$ molecule

abstract:
  The electronic correlations on a C$_{20}$ molecule, as described by an
extended Hubbard Hamiltonian with a nearest neighbor Coulomb interaction of
strength $V$, are studied using quantum Monte Carlo and exact diagonalization
methods. For electron doped C$_{20}$, it is known that pair-binding arising
from a purely electronic mechanism is absent within the standard Hubbard model
(V=0). Here we show that this is also the case for hole doping for $0<U/t\leq
3$ and that, for both electron and hole doping, the effect of a non-zero $V$ is
to work against pair-binding. We also study the magnetic properties of the
neutral molecule, and find transitions between spin singlet and triplet ground
states for either fixed $U$ or $V$ values. In addition, spin, charge and
pairing correlation functions on C$_{20}$ are computed. The spin-spin and
charge-charge correlations are very short-range, although a weak enhancement in
the pairing correlation is observed for a distance equal to the molecular
diameter.


title:
Positive Complex Sectional Curvature, Ricci Flow and the Differential
  Sphere Theorem

abstract:
  The paper provides a different proof of the result of Brendle-Schoen on the
differential sphere theorem. It is shown directly that the invariant cone of
curvature operators with positive (or non-negative) complex sectional curvature
is preserved by the Ricci flow. This implies, by a result of B\"ohm-Wilking,
that the normalized Ricci flow deforms such a metric to a metric of constant
positive curvature. Using earlier work of Yau and Zheng it can be shown that a
metric with strictly (pointwise) 1/4-pinched sectional curvature has positive
complex sectional curvature. This gives a direct proof of Brendle-Schoen's
recent differential sphere theorem, bypassing any discussion of positive
isotropic curvature.


title:
The characteristic polynomial of a random unitary matrix: a
  probabilistic approach

abstract:
  In this paper, we propose a probabilistic approach to the study of the
characteristic polynomial of a random unitary matrix. We recover the Mellin
Fourier transform of such a random polynomial, first obtained by Keating and
Snaith, using a simple recursion formula, and from there we are able to obtain
the joint law of its radial and angular parts in the complex plane. In
particular, we show that the real and imaginary parts of the logarithm of the
characteristic polynomial of a random unitary matrix can be represented in law
as the sum of independent random variables. From such representations, the
celebrated limit theorem obtained by Keating and Snaith is now obtained from
the classical central limit theorems of Probability Theory, as well as some new
estimates for the rate of convergence and law of the iterated logarithm type
results.


title:
Twisted Poincar\'e Symmetry and Some Implications on Noncommutative
  Quantum Field Theory

abstract:
  The concept of twisted Poincar\'e symmetry, as well as some implications, are
reviewed. The spin-statistics relation and the nonlocality of NC QFT are
discussed in the light of this quantum symmetry. The possibility of a twisted
symmetry principle for quantum field and gauge theories formulated on a
noncommutative space-time is also explored.


title: Form factors in magnetic scattering of thermal neutrons

abstract:
  This lecture addresses the concept of form factor in magnetic scattering of
thermal neutrons, analyzing its meaning, discussing its measurement by
polarized neutrons and detailing its computation for the ions by the spherical
tensor operator formalism.


title: Diffusive radiation in Langmuir turbulence produced by jet shocks

abstract:
  Anisotropic distributions of charged particles including two-stream
distributions give rise to generation of either stochastic electric fields (in
the form of Langmuir waves, Buneman instability) or random quasi-static
magnetic fields (Weibel and filamentation instabilities) or both. These
two-stream instabilities are known to play a key role in collisionless shock
formation, shock-shock interactions, and shock-induced electromagnetic
emission. This paper applies the general non-perturbative stochastic theory of
radiation to study electromagnetic emission produced by relativistic particles,
which random walk in the stochastic electric fields of the Langmuir waves. This
analysis takes into account the cumulative effect of uncorrelated Langmuir
waves on the radiating particle trajectory giving rise to angular diffusion of
the particle, which eventually modifies the corresponding radiation spectra. We
demonstrate that the radiative process considered is probably relevant for
emission produced in various kinds of astrophysical jets, in particular, prompt
gamma-ray burst spectra, including X-ray excesses and prompt optical flashes.


title: Motion of nanodroplets near chemical heterogeneities

abstract:
  We investigate the dynamics of nanoscale droplets in the vicinity of chemical
steps which separate parts of a substrate with different wettabilities. Due to
long-ranged dispersion forces, nanodroplets positioned on one side of the step
perceive the different character of the other side even at some distances from
the step, leading to a dynamic response. The direction of the ensuing motion of
such droplets does not only depend on the difference between the equilibrium
contact angles on these two parts but in particular on the difference between
the corresponding Hamaker constants. Therefore the motion is not necessarily
directed towards the more wettable side and can also be different from that of
droplets which span the step.


title: Coherent Lattice Vibrations in Superconductors

abstract:
  A recent analysis by Kadin has noted that the superconducting wavefunction
within the BCS theory may be represented in real-space as a spherical
electronic orbital (on the scale of the coherence length) coupled to a
standing-wave lattice vibration. This lattice vibration, effectively a bound
phonon, has wavevector 2kf and a near-resonant frequency (on the order of the
Debye frequency) that maximizes the attractive electrostatic interaction energy
with the electronic orbital. The present paper extends this picture to a
coherent standing-wave pattern of electron and phonon waves that traverses the
entire superconductor on the macroscopic scale. These parallel planes form a
diffractive waveguide for electron waves traveling parallel to the planes,
permitting lossless supercurrent. A similar picture may be extended to
unconventional superconductors such as the cuprates, with an array of standing
spin waves rather than phonons. Such coherent lattice vibrations should be
universal and distinctive indicators of the superconducting state, and should
be observable below Tc using standard x-ray and neutron diffraction techniques.
Further implications of this picture are discussed.


title: Product Formulae for Ozsvath-Szabo 4-manifold Invariants

abstract:
  We give formulae for the Ozsvath-Szabo invariants of 4-manifolds X obtained
by fiber sum of two manifolds M_1, M_2 along surfaces S_1, S_2 having trivial
normal bundle and genus g>0. The formulae follow from a general theorem on the
Ozsvath-Szabo invariants of the result of gluing two 4-manifolds along a common
boundary, which is phrased in terms of relative invariants of the pieces. These
relative invariants take values in a version of Heegaard Floer homology with
coefficients in modules over certain Novikov rings; the fiber sum formula
follows from the theorem that this "perturbed" version of Heegaard Floer theory
recovers the usual Ozsvath-Szabo invariants, when the 4-manifold in question
has b^+>1. The construction allows an extension of the definition of the
Ozsvath-Szabo invariants to 4-manifolds having b^+ = 1 depending on certain
choices, in close analogy with Seiberg-Witten theory. The product formulae lead
quickly to calculations of the Ozsvath-Szabo invariants of various 4-manifolds;
in all cases the results are in accord with the conjectured equivalence between
the Ozsvath-Szabo and Seiberg-Witten invariants.


title: Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions

abstract:
  Conformally invariant massless field systems involving only dimensionless
parameters are known to describe particle physics at very high energy. In the
presence of an external gravitational field, the conformal symmetry may
generalize to Weyl invariance. However, the latter symmetry no longer survives
after quantization: A Weyl anomaly appears. In this Letter, a purely algebraic
understanding of the universal structure of the Weyl anomalies is presented.
The results hold in arbitrary dimensions and independently of any
regularization scheme.


title:
Renewal convergence rates and correlation decay for homogeneous pinning
  models

abstract:
  A class of discrete renewal processes with super-exponentially decaying
inter-arrival distributions coincides with the infinite volume limit of general
homogeneous pinning models in their localized phase. Pinning models are
statistical mechanics systems to which a lot of attention has been devoted both
for their relevance for applications and because they are solvable models
exhibiting a non-trivial phase transition. The spatial decay of correlations in
these systems is directly mapped to the speed of convergence to equilibrium for
the associated renewal processes. We show that close to criticality, under
general assumptions, the correlation decay rate, or the renewal convergence
rate, coincides with the inter-arrival decay rate. We also show that, in
general, this is false away from criticality. Under a stronger assumption on
the inter-arrival distribution we establish a local limit theorem, capturing
thus the sharp asymptotic behavior of correlations.


title: Simulations of Information Transport in Spin Chains

abstract:
  Transport of quantum information in linear spin chains has been the subject
of much theoretical work. Experimental studies by nuclear spin systems in
solid-state by NMR (a natural implementation of such models) is complicated
since the dipolar Hamiltonian is not solely comprised of nearest-neighbor
XY-Heisenberg couplings. We present here a similarity transformation between
the XY-Heisenberg Hamiltonian and the grade raising Hamiltonian, an interaction
which is achievable with the collective control provided by radio-frequency
pulses in NMR. Not only does this second Hamiltonian allows us to simulate the
information transport in a spin chain, but it also provides a means to observe
its signature experimentally.


title:
The Stieltjes constants, their relation to the eta_j coefficients, and
  representation of the Hurwitz zeta function

abstract:
  The Stieltjes constants gamma_k(a) are the expansion coefficients in the
Laurent series for the Hurwitz zeta function about its only pole at s=1. We
present the relation of gamma_k(1) to the eta_j coefficients that appear in the
Laurent expansion of the logarithmic derivative of the Riemann zeta function
about its pole at s=1. We obtain novel integral representations of the
Stieltjes constants and new decompositions such as S_2(n) = S_gamma(n) +
S_Lambda(n) for the crucial oscillatory subsum of the Li criterion for the
Riemann hypothesis. The sum S_\gamma(n) is O(n) and we present various integral
representations for it. We present novel series representations of S_2(n). We
additionally present a rapidly convergent expression for \gamma_k= \gamma_k(1)
and a variety of results pertinent to a parameterized representation of the
Riemann and Hurwitz zeta functions.


title:
Collisional processes and size distribution in spatially extended debris
  discs

abstract:
  We present a new multi-annulus code for the study of collisionally evolving
extended debris discs. We first aim to confirm results obtained for a
single-annulus system, namely that the size distribution in "real" debris discs
always departs from the theoretical collisional equilibrium
$dN\proptoR^{-3.5}dR$ power law, especially in the crucial size range of
observable particles (<1cm), where it displays a characteristic wavy pattern.
We also aim at studying how debris discs density distributions, scattered light
luminosity profiles, and SEDs are affected by the coupled effect of collisions
and radial mixing due to radiation pressure affected small grains. The size
distribution evolution is modeled from micron-sized grains to 50km-sized
bodies. The model takes into account the crucial influence of radiation
pressure-affected small grains. We consider the collisional evolution of a
fiducial a=120AU radius disc with an initial surface density in
$\Sigma(a)\propto a^{\alpha}$. We show that the system's radial extension plays
a crucial role: in most regions the collisional and size evolution of the dust
is imposed by small particles on eccentric or unbound orbits produced further
inside the disc. The spatial distribution of small grains strongly departs from
the initial profile, while the bigger objects, containing most of the system's
mass, still follow the initial distribution. This has consequences on the
scattered--light radial profiles which get significantly flatter, and we
propose an empirical law to trace back the distribution of large unseen parent
bodies from the observed profiles. We finally provide empirical formula for the
collisional size distribution and collision timescale that can be used for
future debris disc modeling.


title: Series of zeta values, the Stieltjes constants, and a sum S_\gamma(n)

abstract:
  We present a variety of series representations of the Stieltjes and related
constants, the Stieltjes constants being the coefficients of the Laurent
expansion of the Hurwitz zeta function zeta(s,a) about s=1. Additionally we
obtain series and integral representations of a sum S_\gamma(n) formed as an
alternating binomial series from the Stieltjes constants. The slowly varying
sum S_\gamma(n)+n is an important subsum in application of the Li criterion for
the Riemann hypothesis.


title: Complex Ratios of Cubic Polynomials

abstract:
  Let $p(w)=(w-w_{1})(w-w_{2})(w-w_{3}),$with
$\func{Re}w_{1}<\func{Re}w_{2}<\func{Re}w_{3}$. Assume that if the critical
points of $p$ are not identical, then they cannot have equal real parts. Define
the ratios $\sigma_{1}=\dfrac{z_{1}-w_{1}}{w_{2}-w_{1}}$ and $\sigma
_{2}=\dfrac{z_{2}-w_{2}}{w_{3}-w_{2}}$. $(\sigma_{1},\sigma_{2})$ is called the
\QTR{it}{ratio vector} of $p$. This extends the definition of ratio vectors
given in earlier papers for polynomials of degree $n$ with all real roots. We
then derive bounds on the real part, imaginary part, and modulus of the ratios
and also some relations between the ratios. In particular, we prove that
$\func{Re}\sigma_{1}\leq \func{Re}\sigma_{2}$. We also show that the ratios are
real if and only if the roots of $p$ are collinear.


title: Chemical and Dynamical Properties of the Stellar Halo

abstract:
  The difference in density profiles of the contributions from different
density peaks to dark matter halos results in certain expectations about the
Milky Way's stellar halo. We cut our simulated halo stars into two populations:
those forming before/during the last major merger, and those accreted after the
last major merger. The former population are more centrally located at z=0,
while stars forming in low mass late forming proto-galaxies are spread through
the halo. A difference in observed binding energy distinguishes these two
populations. We look at possible chemical abundance signatures of the two
populations. We also show that galaxies forming in isolated low sigma peaks
will form from primordial material. Thus, even though the oldest stars are
centrally concentrated as they originated in the early collapsing, densest
regions, primordial stars would be found distributed throughout the halo. Thus,
the lack of observed metal free stars can be taken as directly constraining the
Population III IMF, and the lowest metallicity observed stars can be
interpreted as holding clues to the chemical yields of Pop III stars.


title: Modular representations of the ortho-symplectic supergroups

abstract:
  A Chevalley type integral basis for the ortho-symplectic Lie superalgebra is
constructed. The simple modules of the ortho-symplectic supergroup over an
algebraically closed field of prime characteristic not equal to 2 are
classified, where a key combinatorial ingredient comes from the Mullineux
conjecture on modular representations of the symmetric group. A Steinberg
tensor product theorem for the ortho-symplectic supergroup is also obtained.