title:
Maximization of the second positive Neumann eigenvalue for planar
  domains

abstract:
  We prove that the second positive Neumann eigenvalue of a bounded
simply-connected planar domain of a given area does not exceed the first
positive Neumann eigenvalue on a disk of a twice smaller area. This estimate is
sharp and attained by a sequence of domains degenerating to a union of two
identical disks. In particular, this result implies the Polya conjecture for
the second Neumann eigenvalue. The proof is based on a combination of analytic
and topological arguments. As a by-product of our method we obtain an upper
bound on the second eigenvalue for conformally round metrics on odd-dimensional
spheres.


title: Neutrino, Photon Interaction in Unparticle Physics

abstract:
  We investigate the impact of unparticle physics on the annihilation of relic
neutrinos with the neutrinos identified as primary source of ultra high energy
(UHE) cosmic ray events, producing a cascade of photons and charged particles.
We compute the contribution of the unparticle exchange to the cross-sections
$\nu \bar\nu\to\gamma \gamma$ and $\nu \bar\nu\to f \bar f$ scattering. We
estimate the neutrino photon decoupling temperature from the reaction rate of
$\nu \bar\nu\to\gamma \gamma$. We find that inclusion of unparticles can in
fact account for the flux of UHE cosmic rays and can also result in the
lowering of neutrino - photon decoupling temperature below the QCD phase
transition for unparticle physics parameters in a certain range. We calculate
the mean free path of these high energy neutrinos annihilating themselves with
the relic neutrinos to produce vector and tensor unparticles.


title: Non-Additive Quantum Codes from Goethals and Preparata Codes

abstract:
  We extend the stabilizer formalism to a class of non-additive quantum codes
which are constructed from non-linear classical codes. As an example, we
present infinite families of non-additive codes which are derived from Goethals
and Preparata codes.


title: On the oscillatory integration of some ordinary differential equations

abstract:
  Conditions are given for a class of nonlinear ordinary differential equations
x''(t)+a(t)w(x)=0, t>=1, which includes the linear equation to possess
solutions x(t) with prescribed oblique asymptote that have an oscillatory
pseudo-wronskian x'(t)-x(t)/t.


title: Enhancement of cooperation in highly clustered scale-free networks

abstract:
  We study the effect of clustering on the organization of cooperation, by
analyzing the evolutionary dynamics of the Prisoner's Dilemma on scale-free
networks with a tunable value of clustering. We find that a high value of the
clustering coefficient produces an overall enhancement of cooperation in the
network, even for a very high temptation to defect. On the other hand, high
clustering homogeneizes the process of invasion of degree classes by defectors,
decreasing the chances of survival of low densities of cooperator strategists
in the network.


title: Independent Emission and Absorption Abundances for Planetary Nebulae

abstract:
  Emission-line abundances have been uncertain for more than a decade due to
unexplained discrepancies in the relative intensities of the forbidden lines
and weak permitted recombination lines in planetary nebulae (PNe) and H II
regions. The observed intensities of forbidden and recombination lines
originating from the same parent ion differ from their theoretical values by
factors of more than an order of magnitude in some of these nebulae. In this
study we observe UV resonance line absorption in the central stars of PNe
produced by the nebular gas, and from the same ions that emit optical forbidden
lines. We then compare the derived absorption column densities with the
emission measures determined from ground-based observations of the nebular
forbidden lines. We find for our sample of PNe that the collisionally excited
forbidden lines yield column densities that are in basic agreement with the
column densities derived for the same ions from the UV absorption lines. A
similar comparison involving recombination line column densities produces
poorer agreement, although near the limits of the formal uncertainties of the
analyses. An additional sample of objects with larger abundance discrepancy
factors will need to be studied before a stronger statement can be made that
recombination line abundances are not correct.


title: Dominated splitting and zero volume for incompressible three-flows

abstract:
  We prove that there exists an open and dense subset of the incompressible
3-flows of class C^2 such that, if a flow in this set has a positive volume
regular invariant subset with dominated splitting for the linear Poincar\'e
flow, then it must be an Anosov flow. With this result we are able to extend
the dichotomies of Bochi-Ma\~n\'e and of Newhouse for flows with singularities.
That is we obtain for a residual subset of the C^1 incompressible flows on
3-manifolds that: (i) either all Lyapunov exponents are zero or the flow is
Anosov, and (ii) either the flow is Anosov or else the elliptic periodic points
are dense in the manifold.


title:
On a ramification bound of torsion semi-stable representations over a
  local field

abstract:
  For a rational prime p, let k be a perfect field of characteristic p, K be a
finite totally ramified extension of Frac(W(k)) of degree e and r be a
non-negative integer satisfying r<p-1. In this article, we prove the upper
numbering ramification group G^(j) for j>u(K,r,n) acts trivially on the
p^n-torsion semi-stable G_K-representations with the Hodge-Tate weights in
{0,...,r}, where u(K,0,n)=0, u(K,1,n)=1+e(n+1/(p-1)) and
u(K,r,n)=1-p^{-n}+e(n+r/(p-1)) for r>1.


title: Quantum Goethals-Preparata Codes

abstract:
  We present a family of non-additive quantum codes based on Goethals and
Preparata codes with parameters ((2^m,2^{2^m-5m+1},8)). The dimension of these
codes is eight times higher than the dimension of the best known additive
quantum codes of equal length and minimum distance.


title: Degravitation, Inflation and the Cosmological Constant as an Afterglow

abstract:
  In this report, we adopt the phenomenological approach of taking the
degravitation paradigm seriously as a consistent modification of gravity in the
IR, and investigate its consequences for various cosmological situations. We
motivate degravitation-- where Netwon's constant is promoted to a scale
dependent filter function-- as arising from either a small (resonant) mass for
the graviton, or as an effect in semi-classical gravity. After addressing how
the Bianchi identities are to be satisfied in such a set up, we turn our
attention towards the cosmological consequences of degravitation. By
considering the example filter function corresponding to a resonantly massive
graviton (with a filter scale larger than the present horizon scale), we show
that slow roll inflation, hybrid inflation and old inflation remain
quantitatively unchanged. We also find that the degravitation mechanism
inherits a memory of past energy densities in the present epoch in such a way
that is likely significant for present cosmological evolution. For example, if
the universe underwent inflation in the past due to it having tunneled out of
some false vacuum, we find that degravitation implies a remnant `afterglow'
cosmological constant, whose scale immediately afterwards is parametrically
suppressed by the filter scale ($L$) in Planck units $\Lambda \sim
l^2_{pl}/L^2$. We discuss circumstances through which this scenario reasonably
yields the presently observed value for $\Lambda \sim O(10^{-120})$. We also
find that in a universe still currently trapped in some false vacuum state,
resonance graviton models of degravitation only degravitate initially Planck or
GUT scale energy densities down to the presently observed value over timescales
comparable to the filter scale.


title:
Correcting the Polarization Leakage Phases and Amplitudes Throughout the
  Primary Beam of an Interferometer

abstract:
  Polarimetric observations are affected by leakage of unpolarized light into
the polarization channels, in a way that varies with the angular position of
the source relative to the optical axis. The off-axis part of the leakage is
often corrected by subtracting from each polarization image the product of the
unpolarized map and a leakage map, but it is seldom realized that
heterogeneities in the array shift the loci of the leaked radiation in a
baseline-dependent fashion. We present here a method to measure and remove the
wide-field polarization leakage of a heterogeneous array. The process also maps
the complex voltage patterns of each antenna, which can be used to correct all
Stokes parameters for imaging errors due to the primary beams.


title: A note on the extensivity of the holographic entanglement entropy

abstract:
  We consider situations where the renormalized geometric entropy, as defined
by the AdS/CFT ansatz of Ryu and Takayanagi, shows extensive behavior in the
volume of the entangled region. In general, any holographic geometry that is
`capped' in the infrared region is a candidate for extensivity provided the
growth of minimal surfaces saturates at the capping region, and the induced
metric at the `cap' is non-degenerate. Extensivity is well-known to occur for
highly thermalized states. In this note, we show that the holographic ansatz
predicts the persistence of the extensivity down to vanishing temperature, for
the particular case of conformal field theories in 2+1 dimensions with a
magnetic field and/or electric charge condensates.


title:
Off-shell M5 Brane, Perturbed Seiberg-Witten Theory, and Metastable
  Vacua

abstract:
  We demonstrate that, in an appropriate limit, the off-shell M5-brane
worldvolume action effectively captures the scalar potential of Seiberg-Witten
theory perturbed by a small superpotential and, consequently, any
nonsupersymmetric vacua that it describes. This happens in a similar manner to
the emergence from M5's of the scalar potential describing certain type IIB
flux configurations [arXiv:0705.0983]. We then construct exact nonholomorphic
M5 configurations in the special case of SU(2) Seiberg-Witten theory deformed
by a degree six superpotential which correspond to the recently discovered
metastable vacua of Ooguri, Ookouchi, Park [arXiv:0704.3613], and Pastras
[arXiv:0705.0505]. These solutions take the approximate form of a holomorphic
Seiberg-Witten geometry with harmonic embedding along a transverse direction
and allow us to obtain geometric intuition for local stability of the gauge
theory vacua. As usual, dynamical processes in the gauge theory, such as the
decay of nonsupersymmetric vacua, take on a different character in the M5
description which, due to issues of boundary conditions, typically involves
runaway behavior in MQCD.


title:
Oscillating K giants with the WIRE satellite: determination of their
  asteroseismic masses

abstract:
  Mass estimates of K giants are generally very uncertain. Traditionally,
stellar masses of single field stars are determined by comparing their location
in the Hertzsprung-Russell diagram with stellar evolutionary models. Applying
an additional method to determine the mass is therefore of significant interest
for understanding stellar evolution. We present the time series analysis of 11
K giants recently observed with the WIRE satellite. With this comprehensive
sample, we report the first confirmation that the characteristic acoustic
frequency, nu_max, can be predicted for K giants by scaling from the solar
acoustic cut-off frequency. We are further able to utilize our measurements of
nu_max to determine an asteroseismic mass for each star with a lower
uncertainty compared to the traditional method, for most stars in our sample.
This indicates good prospects for the application of our method on the vast
amounts of data that will soon come from the COROT and Kepler space missions.


title: Modeling a Maunder Minimum

abstract:
  We introduce on/off intermittency into a mean field dynamo model by imposing
stochastic fluctuations in either the alpha effect or through the inclusion of
a fluctuating electromotive force. Sufficiently strong small scale fluctuations
with time scales of the order of 0.3-3 years can produce long term variations
in the system on time scales of the order of hundreds of years. However, global
suppression of magnetic activity in both hemispheres at once was not observed.
The variation of the magnetic field does not resemble that of the sunspot
number, but is more reminiscent of the 10 Be record. The interpretation of our
results focuses attention on the connection between the level of magnetic
activity and the sunspot number, an issue that must be elucidated if long term
solar effects are to be well understood.


title: ISS-flation

abstract:
  Inflation may occur while rolling into the metastable supersymmetry-breaking
vacuum of massive supersymmetric QCD. We explore the range of parameters in
which slow-roll inflation and long-lived metastable supersymmetry breaking may
be simultaneously realized. The end of slow-roll inflation in this context
coincides with the spontaneous breaking of a global symmetry, which may give
rise to significant curvature perturbations via inhomogenous preheating. Such
spontaneous symmetry breaking at the end of inflation may give rise to
observable non-gaussianities, distinguishing this scenario from more
conventional models of supersymmetric hybrid inflation.


title:
Advection of Magnetic Fields in Accretion Disks: Not So Difficult After
  All

abstract:
  We show that a large-scale, weak magnetic field threading a turbulent
accretion disk tends to be advected inward, contrary to previous suggestions
that it will be stopped by outward diffusion. The efficient inward transport is
a consequence of the diffuse, magnetically-dominated surface layers of the
disk, where the turbulence is suppressed and the conductivity is very high.
This structure arises naturally in three-dimensional simulations of
magnetorotationally unstable disks, and we demonstrate here that it can easily
support inward advection and compression of a weak field. The advected field is
anchored in the surface layer but penetrates the main body of the disk, where
it can generate strong turbulence and produce values of alpha (i.e., the
turbulent stress) large enough to match observational constraints; typical
values of the vertical magnetic field merely need to reach a few percent of
equipartition for this to occur. Overall, these results have important
implications for models of jet formation which require strong, large-scale
magnetic fields to exist over a region of the inner accretion disk.


title:
A High-Resolution Spectrum of the Highly Magnified Bulge G-Dwarf
  MOA-2006-BLG-099S

abstract:
  We analyze a high-resolution spectrum of a microlensed G-dwarf in the
Galactic bulge, acquired when the star was magnified by a factor of 110. We
measure a spectroscopic temperature, derived from the wings of the Balmer
lines, that is the same as the photometric temperature, derived using the color
determined by standard microlensing techniques. We measure [Fe/H]=0.36 +/-0.18,
which places this star at the upper end of the Bulge giant metallicity
distribution. In particular, this star is more metal-rich than any bulge M
giant with high-resolution abundances. We find that the abundance ratios of
alpha and iron-peak elements are similar to those of Bulge giants with the same
metallicity. For the first time, we measure the abundances of K and Zn for a
star in the Bulge. The [K/Mg] ratio is similar to the value measured in the
halo and the disk, suggesting that K production closely tracks alpha
production. The [Cu/Fe] and [Zn/Fe] ratios support the theory that those
elements are produced in Type II SNe, rather than Type Ia SNe. We also measured
the first C and N abundances in the Bulge that have not been affected by first
dredge-up. The [C/Fe] and [N/Fe] ratios are close to solar, in agreement with
the hypothesis that giants experience only canonical mixing.


title:
The role of AGN in the colour transformation of galaxies at redshifts
  z~1

abstract:
  We explore the role of AGN in establishing and/or maintaining the bimodal
colour distribution of galaxies by quenching their star-formation and hence,
causing their transition from the blue to the red cloud. Important tests for
this scenario include (i) the X-ray properties of galaxies in the transition
zone between the two clouds and (ii) the incidence of AGN in post-starbursts,
i.e. systems observed shortly after (<1Gyr) the termination of their
star-formation. We perform these tests by combining deep Chandra observations
with multiwavelength data from the AEGIS survey. Stacking the X-ray photons at
the positions of galaxies (0.4<z<0.9) not individually detected at X-ray
wavelengths suggests a population of obscured AGN among sources in the
transition zone and in the red cloud. Their mean X-ray and mid-IR properties
are consistent with moderately obscured low-luminosity AGN, Compton thick
sources or a mix of both. Morphologies show that major mergers are unlikely to
drive the evolution of this population but minor interactions may play a role.
The incidence of obscured AGN in the red cloud (both direct detections and
stacking results) suggests that BH accretion outlives the termination of the
star-formation. This is also supported by our finding that post-starburst
galaxies at z~0.8 and AGN are associated, in agreement with recent results at
low-z. A large fraction of post-starbursts and red cloud galaxies show evidence
for at least moderate levels of AGN obscuration. This implies that if AGN
outflows cause the colour transformation of galaxies, then some nuclear gas and
dust clouds either remain unaffected or relax to the central galaxy regions
after the quenching their star-formation.


title:
Observations Outside the Light-Cone: Algorithms for Non-Equilibrium and
  Thermal States

abstract:
  We apply algorithms based on Lieb-Robinson bounds to simulate time-dependent
and thermal quantities in quantum systems. For time-dependent systems, we
modify a previous mapping to quantum circuits to significantly reduce the
computer resources required. This modification is based on a principle of
"observing" the system outside the light-cone. We apply this method to study
spin relaxation in systems started out of equilibrium with initial conditions
that give rise to very rapid entanglement growth. We also show that it is
possible to approximate time evolution under a local Hamiltonian by a quantum
circuit whose light-cone naturally matches the Lieb-Robinson velocity.
Asymptotically, these modified methods allow a doubling of the system size that
one can obtain compared to direct simulation. We then consider a different
problem of thermal properties of disordered spin chains and use quantum belief
propagation to average over different configurations. We test this algorithm on
one dimensional systems with mixed ferromagnetic and anti-ferromagnetic bonds,
where we can compare to quantum Monte Carlo, and then we apply it to the study
of disordered, frustrated spin systems.


title:
ARTEMiS (Automated Robotic Terrestrial Exoplanet Microlensing Search) -
  A possible expert-system based cooperative effort to hunt for planets of
  Earth mass and below

abstract:
  (abridged) The technique of gravitational microlensing is currently unique in
its ability to provide a sample of terrestrial exoplanets around both Galactic
disk and bulge stars, allowing to measure their abundance and determine their
distribution with respect to mass and orbital separation. In order to achieve
these goals in reasonable time, a well-coordinated effort involving a network
of either 2m or 4 x 1m telescopes at each site is required. It could lead to
the first detection of an Earth-mass planet outside the Solar system, and even
planets less massive than Earth could be discovered. From April 2008, ARTEMiS
(Automated Robotic Terrestrial Exoplanet Microlensing Search) is planned to
provide a platform for a three-step strategy of survey, follow-up, and anomaly
monitoring. As an expert system embedded in eSTAR (e-Science Telescopes for
Astronomical Research), ARTEMiS will give advice on the optimal targets to be
observed at any given time, and will also alert on deviations from ordinary
microlensing light curves by means of the SIGNALMEN anomaly detector. While the
use of the VOEvent (Virtual Observatory Event) protocol allows a direct
interaction with the telescopes that are part of the HTN (Heterogeneous
Telescope Networks) consortium, additional interfaces provide means of
communication with all existing microlensing campaigns that rely on human
observers. The success of discovering a planet by microlensing critically
depends on the availability of a telescope in a suitable location at the right
time, which can mean within 10 min. Real-time modelling offers the opportunity
of live discovery of extra-solar planets, thereby providing ''Science live to
your home''.


title:
D7-Brane Motion from M-Theory Cycles and Obstructions in the Weak
  Coupling Limit

abstract:
  Motivated by the desire to do proper model building with D7-branes and
fluxes, we study the motion of D7-branes on a Calabi-Yau orientifold from the
perspective of F-theory. We consider this approach promising since, by working
effectively with an elliptically fibred M-theory compactification, the explicit
positioning of D7-branes by (M-theory) fluxes is straightforward. The locations
of D7-branes are encoded in the periods of certain M-theory cycles, which
allows for a very explicit understanding of the moduli space of D7-brane
motion. The picture of moving D7-branes on a fixed underlying space relies on
negligible backreaction, which can be ensured in Sen's weak coupling limit.
However, even in this limit we find certain 'physics obstructions' which reduce
the freedom of the D7-brane motion as compared to the motion of holomorphic
submanifolds in the orientifold background. These obstructions originate in the
intersections of D7-branes and O7-planes, where the type IIB coupling can not
remain weak. We illustrate this effect for D7-brane models on CP^1 x CP^1 (the
Bianchi-Sagnotti-Gimon-Polchinski model) and on CP^2. Furthermore, in the
simple example of 16 D7-branes and 4 O7-planes on CP^1 (F-theory on K3), we
obtain a completely explicit parameterization of the moduli space in terms of
periods of integral M-theory cycles. In the weak coupling limit, D7-brane
motion factorizes from the geometric deformations of the base space.


title: The generation of optical emission-line filaments in galaxy clusters

abstract:
  Recent data support the idea that the filaments observed in H_alpha emission
near the centres of some galaxy clusters were shaped by bulk flows within their
intracluster media. We present numerical simulations of evaporated clump
material interacting with impinging winds to investigate this possibility. In
each simulation, a clump falls due to gravity while the drag of a wind retards
the fall of evaporated material leading to elongation of the tail. However, we
find that long filaments can only form if the outflowing wind velocity is
sufficiently large, 10^8 cm s^-1. Otherwise, the tail material sinks almost as
quickly as the cloud. For reasonable values of parameters, the morphological
structure of a tail is qualitatively similar to those observed in clusters.
Under certain conditions, the kinematics of the tail resemble those reported in
Hatch et al.(2006). A comparison of the observations with the numerical results
indicates that the filaments are likely to be a few tens of Myrs old. We also
present arguments which suggest that the momentum transfer, from an outflowing
wind, in the formation of these filaments is probably significant. As a result,
tail formation could play a role in dissipating some of the energy injected by
a central AGN close to the cluster centre where it is needed most. The trapping
of energy by the cold gas may provide an additional feedback mechanism that
helps to regulate the heating of the central regions of galaxy clusters and
couple the AGN to the ICM.


title: Special Massive Spin-2 on de Sitter Space

abstract:
  The theory of a massive spin-2 state on the de Sitter space -- with the mass
squared equal to one sixth of the curvature -- is special for two reasons: (i)
it exhibits an enhanced local symmetry; (ii) it emerges as a part of the model
that gives rise to the self-accelerated Universe. The known problems of this
theory are: either it cannot be coupled to a non-conformal conserved
stress-tensor because of the enhanced symmetry, or it propagates a ghost-like
state when the symmetry is constrained by the Lagrange multiplier method. Here
we propose a solution to these problems in the linearized approximation.


title:
Hartmann flow with Braginsky viscosity: a test problem for intercluster
  plasma

abstract:
  We consider a Hartmann layer, stationary flow of a viscose and resistive
fluid between two plates with superimposed transverse magnetic field, in the
limit of gyrotropic plasma, when viscosity across the field is strongly
suppressed. For zero cross-field viscosity, the problem is not well posed,
since viscosity then vanishes on the boundaries and in the middle of the layer,
where there is no longitudinal field. An additional arbitrarily small isotropic
viscosity allows one to find magnetic field and velocity profiles which are
independent of this viscosity floor and different from flows with isotropic
viscosity. Velocity sharply rises in a thin boundary layer, which thickness
depends both on the Hartmann number and on the Lundquist number of the flow.
  The implication of the work is that, in simulating ICM dynamics it is
imperative to use numerical schemes which take into account anisotropic
viscosity. Although magnetic fields are dynamically subdominant in the ICM they
do determine its the dissipative properties, stability of embedded structures
and the transition to turbulence.


title: Electron scattering by a solenoid

abstract:
  The quantum-mechanical problems of electron scattering by an infinitely thin
solenoid and by a half of an infinitely thin solenoid are examined from the
viewpoint of constructing a self-adjoint Hamiltonian. It is demonstrated that
in both problems there exist unique self-adjoint operators with a
``non-singular'' domain, that, due to physical reasons, are identified with the
corresponding Hamiltonians. In the case of quantized values of magnetic flow
along the solenoid, the electron does not experience any scattering by the
string. It is shown that the scattering amplitude and wave function of an
electron in the problem of scattering by an infinitely long solenoid of radius
a in the limit a->0 turn into the corresponding expressions for the problem of
an infinitely thin solenoid. In particular, at a quantized value of magnetic
flow along the solenoid, scattering disappears at a->0.


title: Non-thermal Emission in Sagittarius B?

abstract:
  We summarize three recent publications which suggest that the Galactic center
region Sagittarius B (Sgr B) may contain non-thermal radio components (Crocker
et al. 2007, Hollis et al. 2007 and Yusef-Zadeh et al. 2007a). Based on new VLA
matched-resolution continuum data at 327 MHz and 1.4 GHz, we find no evidence
for large scale non-thermal radio emission at these frequencies; the spectral
behavior is likely determined by the complex summation of multiple HII region
components with a wide range of emission measures and hence radio turn-over
frequencies. Also, we discuss a possible additional interpretation of the radio
continuum spectrum of individual component Sgr B2-F carried out by Yusef-Zadeh
et al; confusion from nearby HII components with widely different turn-over
frequencies may contribute to the the change in slope of the radio continuum in
this direction at low frequencies. Finally, we discuss the uncertainties in the
determination of the spectral index of the GBT continuum data of Sgr B carried
out by Hollis et al. We find that the apparent spectral index determined by
their procedure is also likely due to a summation over the many diverse thermal
components in this direction.


title:
The Baryon Content of Dark Matter Halos: Empirical Constraints from MgII
  Absorbers

abstract:
  We have initiated a survey of MgII 2796, 2803 absorbers near known galaxies
at projected distances rho<~100 h^-1 kpc to a background QSO, in order to
constrain the extent and covering fraction of Mg^+ ions around galaxies of
different luminosity and mass. The current sample consists of 13 galaxy and
absorber pairs and 10 galaxies that do not produce MgII absorption lines to
within sensitive upper limits. The redshifts of the galaxy and absorber pairs
range from z = 0.2067 to 0.892 with a median of z = 0.3818. We find that
galaxies at larger impact parameters produce on average weaker MgII absorbers.
This anti-correlation is substantially improved when accounting for the
intrinsic luminosities of individual galaxies. In addition, there exists a
distinct boundary at rho=R_gas, beyond which no MgII absorbers are found. A
maximum likelihood analysis shows that the observations are best described by
an isothermal density profile and a scaling relation R_gas = 91 x
(L_B/L_{B_*})^(0.35 +/- 0.05) h^-1 kpc (or 69 h^-1 kpc at W(2796)=0.3 Ang) with
a mean covering factor of <kappa>=80-86%. Together with the scaling relation
between halo mass and galaxy luminosity inferred from halo occupation studies,
this scaling of R_gas indicates that gas radius is a fixed fraction of the dark
matter halo radius. We compare our results with previous studies and discuss
the implications of our analysis for constraining the baryon content of
galactic halos and for discriminating between competing scenarios for
understanding the nature of the extended gas.


title: Dynamic nuclear polarization and spin-diffusion in non-conducting solids

abstract:
  There has been much renewed interest in dynamic nuclear polarization (DNP),
particularly in the context of solid state biomolecular NMR and more recently
dissolution DNP techniques for liquids. This paper reviews the role of spin
diffusion in polarizing nuclear spins and discusses the role of the spin
diffusion barrier, before going on to discuss some recent results.


title:
On existence and uniqueness of the carrying simplex for competitive
  dynamical systems

abstract:
  Certain dynamical models of competition have a unique invariant hypersurface
to whichevery nonzero tractory is asymptotic, having simple geometry and
topology.


title:
A Spitzer Space Telescope Atlas of omega Centauri: The Stellar
  Population, Mass Loss, and the Intracluster Medium

abstract:
  We present a Spitzer Space Telescope imaging survey of the most massive
Galactic globular cluster, omega Centauri, and investigate stellar mass loss at
low metallicity and the intracluster medium (ICM). The survey covers
approximately 3.2x the cluster half-mass radius at 3.6, 4.5, 5.8, 8, and 24
microns, resulting in a catalog of over 40,000 point-sources in the cluster.
Approximately 140 cluster members ranging 1.5 dex in metallicity show a red
excess at 24 microns, indicative of circumstellar dust. If all of the dusty
sources are experiencing mass loss, the cumulative rate of loss is estimated at
2.9 - 4.2 x 10^(-7) solar masses per year, 63% -- 66% of which is supplied by
three asymptotic giant branch stars at the tip of the Red Giant Branch (RGB).
There is little evidence for strong mass loss lower on the RGB. If this
material had remained in the cluster center, its dust component (> 1 x 10^(-4)
solar masses) would be detectable in our 24 and 70 micron images. While no dust
cloud located at the center of omega Cen is apparent, we do see four regions of
very faint, diffuse emission beyond two half-mass radii at 24 microns. It is
unclear whether these dust clouds are foreground emission or are associated
with omega Cen. In the latter case, these clouds may be the ICM in the process
of escaping from the cluster.


title: Heavy quark diffusion in QCD and N=4 SYM at next-to-leading order

abstract:
  We present the full details of a calculation at next-to-leading order of the
momentum diffusion coefficient of a heavy quark in a hot, weakly coupled, QCD
plasma. Corrections arise at O(g_s); physically they represent interference
between overlapping scatterings, as well as soft, electric scale (p ~ gT) gauge
field physics, which we treat using the hard thermal loop (HTL) effective
theory. In 3-color, 3-flavor QCD, the momentum diffusion constant of a
fundamental representation heavy quark at NLO is kappa = (16\pi/3) alpha_s^2
T^3 (log(1/g) + 0.07428 + 1.9026 g). We extend the computation to a heavy
fundamental representation ``probe'' quark in large N_c, N=4 Super Yang-Mills
theory, where the result is kappa^{SYM}= (lambda^2 T^3)(6\pi)
(log(1/\sqrt{\lambda}) + 0.4304 + 0.8010 \sqrt{lambda}) (where lambda=g_s^2 N_c
is the t'Hooft coupling). In the absence of some resummation technique, the
convergence of perturbation theory is poor.


title: Charge transfer in heterostructures of strongly correlated materials

abstract:
  In this manuscript, recent theoretical investigations by the authors in the
area of oxide multilayers are briefly reviewed. The calculations were carried
out using model Hamiltonians and a variety of non-perturbative techniques.
Moreover, new results are also included here. They correspond to the generation
of a metallic state by mixing insulators in a multilayer geometry, using the
Hubbard and Double Exchange models. For the latter, the resulting metallic
state is also ferromagnetic. This illustrates how electron or hole doping via
transfer of charge in multilayers can lead to the study of phase diagrams of
transition metal oxides in the clean limit. Currently, these phase diagrams are
much affected by the disordering standard chemical doping procedure, which
introduces quenched disorder in the material.


title: MathPSfrag 2: Convenient LaTeX Labels in Mathematica

abstract:
  This article introduces the next version of MathPSfrag. MathPSfrag is a
Mathematica package that during export automatically replaces all expressions
in a plot by corresponding LaTeX commands. The new version can also produce
LaTeX independent images; e.g., PDF files for inclusion in pdfLaTeX. Moreover
from these files a preview is generated and shown within Mathematica.


title:
Thermal Corrections to $\pi$-$\pi$ Scattering Lengths in the Linear
  Sigma Model

abstract:
  In this article we explore the thermal evolution of the $\pi$-$\pi$
scattering lengths in the frame of the linear sigma model. We compute, using
thermofield dynamics, all the one loop diagrams that contribute to $\pi$-$\pi$
scattering. We restrict ourselves to temperature correction only in the pion
sector, due to the Boltzmann supression for the sigma meson. From this analysis
we obtain the thermal behavior of $a_0^0$ and $a_0^2$, s-waves scattering
lengths in the isospin channel I=0 and I=2 respectively. It turns out that
$a_0^0$ grows whereas $a_0^2$ diminishes as function of temperature. We compare
our results with other determinations of the thermal behavior of these
magnitudes.


title: Probing Interstellar Dust With Space-Based Coronagraphs

abstract:
  We show that space-based telescopes such as the proposed Terrestrial Planet
Finder Coronagraph will be able to detect the light scattered by the
interstellar grains along lines of sight passing near stars in our Galaxy. The
relative flux of the scattered light within one arcsecond of a star at 100 pc
in a uniform interstellar medium of 0.1 H atoms cm^-3 is about 10^-7. The halo
increases in strength with the distance to the star and is unlikely to limit
the coronagraphic detection of planets around the nearest stars. Grains passing
within 100 AU of Sun-like stars are deflected by radiation, gravity and
magnetic forces, leading to features in the scattered light that can
potentially reveal the strength of the stellar wind, the orientation of the
stellar magnetic field and the relative motion between the star and the
surrounding interstellar medium.


title: Gamma-ray emission from the solar halo and disk: a study with EGRET data

abstract:
  Context: The Sun has recently been predicted to be an extended source of
gamma-ray emission, produced by inverse-Compton (IC) scattering of cosmic-ray
(CR) electrons on the solar radiation field. The emission was predicted to be
extended and a confusing foreground for the diffuse extragalactic background
even at large angular distances from the Sun. The solar disk is also expected
to be a steady gamma-ray source. While these emissions are expected to be
readily detectable in the future by GLAST, the situation for available EGRET
data is more challenging. Aims: The theory of gamma-ray emission from IC
scattering on the solar radiation field by Galactic CR electrons is given in
detail. This is used as the basis for detection and model verification using
EGRET data. Methods: We present a detailed study of the solar emission using
the EGRET database, accounting for the effect of the emission from 3C 279, the
moon, and other sources, which interfere with the solar emission. The analysis
was performed for 2 energy ranges, above 300 MeV and for 100-300 MeV, as well
as for the combination to improve the detection statistics. The technique was
tested on the moon signal, with our results consistent with previous work.
Results: Analyzing the EGRET database, we find evidence of emission from the
solar disk and its halo. The observations are compared with our model for the
extended emission. The spectrum of the solar disk emission and the spectrum of
the extended emission have been obtained. The spectrum of the moon is also
given. Conclusions: The observed intensity distribution and the flux are
consistent with the predicted model of IC gamma-rays from the halo around the
Sun.


title: On the testability and repair of hereditary hypergraph properties

abstract:
  Recent works of Alon-Shapira and R\"odl-Schacht have demonstrated that every
hereditary property of undirected graphs or hypergraphs is testable with
one-sided error; informally, this means that if a graph or hypergraph satisfies
that property "locally" with sufficiently high probability, then it can be
perturbed (or "repaired") into a graph or hypergraph which satisfies that
property "globally".
  In this paper we make some refinements to these results, some of which may be
surprising. In the positive direction, we strengthen the results to cover
hereditary properties of multiple directed polychromatic graphs and
hypergraphs. In the case of undirected graphs, we extend the result to
continuous graphs on probability spaces, and show that the repair algorithm is
"local" in the sense that it only depends on a bounded amount of data; in
particular, the graph can be repaired in a time linear in the number of edges.
We also show that local repairability also holds for monotone or partite
hypergraph properties (this latter result is also implicitly in work of
Ishigami). In the negative direction, we show that local repairability breaks
down for directed graphs, or for undirected 3-uniform hypergraphs. The reason
for this contrast in behavior stems from (the limitations of) Ramsey theory.


title: Dyson-Maleev representation of nonlinear sigma-models

abstract:
  For nonlinear sigma-models in the unitary symmetry class, the non-linear
target space can be parameterized with cubic polynomials. This choice of
coordinates has been known previously as the Dyson-Maleev parameterization for
spin systems, and we show that it can be applied to a wide range of
sigma-models. The practical use of this parameterization includes
simplification of diagrammatic calculations (in perturbative methods) and of
algebraic manipulations (in non-perturbative approaches). We illustrate the use
and specific issues of the Dyson-Maleev parameterization with three examples:
the Keldysh sigma-model for time-dependent random Hamiltonians, the
supersymmetric sigma-model for random matrices, and the supersymmetric
transfer-matrix technique for quasi-one-dimensional disordered wires. We
demonstrate that nonlinear sigma-models of unitary-like symmetry classes C and
B/D also admit the Dyson-Maleev parameterization.


title: Quantum and Classical Glass Transitions in $Li Ho_x Y_{1-x} F_4$

abstract:
  When performed in the proper low field, low frequency limits, measurements of
the dynamics and the nonlinear susceptibility in the model Ising magnet in
transverse field, $\text{LiHo}_x\text{Y}_{1-x}\text{F}_4$, prove the existence
of a spin glass transition for $x$ = 0.167 and 0.198. The classical behavior
tracks for the two concentrations, but the behavior in the quantum regime at
large transverse fields differs because of the competing effects of quantum
entanglement and random fields.


title:
Modeling one-dimensional island growth with mass-dependent detachment
  rates

abstract:
  We study one-dimensional models of particle diffusion and
attachment/detachment from islands where the detachment rates gamma(m) of
particles at the cluster edges increase with cluster mass m. They are expected
to mimic the effects of lattice mismatch with the substrate and/or long-range
repulsive interactions that work against the formation of long islands.
Short-range attraction is represented by an overall factor epsilon<<1 in the
detachment rates relatively to isolated particle hopping rates [epsilon ~
exp(-E/T), with binding energy E and temperature T]. We consider various
gamma(m), from rapidly increasing forms such as gamma(m) ~ m to slowly
increasing ones, such as gamma(m) ~ [m/(m+1)]^b. A mapping onto a column
problem shows that these systems are zero-range processes, whose steady states
properties are exactly calculated under the assumption of independent column
heights in the Master equation. Simulation provides island size distributions
which confirm analytic reductions and are useful whenever the analytical tools
cannot provide results in closed form. The shape of island size distributions
can be changed from monomodal to monotonically decreasing by tuning the
temperature or changing the particle density rho. Small values of the scaling
variable X=epsilon^{-1}rho/(1-rho) favour the monotonically decreasing ones.
However, for large X, rapidly increasing gamma(m) lead to distributions with
peaks very close to <m> and rapidly decreasing tails, while slowly increasing
gamma(m) provide peaks close to <m>/2$ and fat right tails.


title:
Azimuthal Anisotropy: Ridges, Recombination and Breaking of Quark Number
  Scaling

abstract:
  Azimuthal anisotropy is studied by taking into account the ridges created by
semi-hard scattering, which is sensitive to the initial spatial configuration
in non-central heavy-ion collisions. No rapid thermalization is required.
Although hydrodynamics is not used in this study, the validity of
hydrodynamical expansion is not excluded at later time after equilibration is
achieved. Phenomenological properties of the bulk and ridge behaviors are used
as inputs to determine the elliptic flow of pion and proton at low p_T. At
intermediate p_T the recombination of shower partons with thermal partons
becomes more important. The phi dependence arises from the variation of the
in-medium path length of the hard parton that generates the shower. The p_T
dependence of v_2 is therefore very different at intermediate p_T compared to
that at low p_T. Quark number scaling of v_2 is shown to be only approximately
valid at low p_T, but is broken at intermediate p_T, even though recombination
is the mechanism of hadronization in all p_T regions considered.


title: Bell inequality violation with two remote atomic qubits

abstract:
  We observe violation of a Bell inequality between the quantum states of two
remote Yb ions separated by a distance of about one meter with the detection
loophole closed. The heralded entanglement of two ions is established via
interference and joint detection of two emitted photons, whose polarization is
entangled with each ion. The entanglement of remote qubits is also
characterized by full quantum state tomography.


title:
New Outer Bounds on the Capacity Region of Gaussian Interference
  Channels

abstract:
  Recent outer bounds on the capacity region of Gaussian interference channels
are generalized to $m$-user channels with $m>2$ and asymmetric powers and
crosstalk coefficients. The bounds are again shown to give the sum-rate
capacity for Gaussian interference channels with low powers and crosstalk
coefficients. The capacity is achieved by using single-user detection at each
receiver, i.e., treating the interference as noise incurs no loss in
performance.


title:
Extrasolar planet detection by binary stellar eclipse timing: evidence
  for a third body around CM Draconis

abstract:
  Context: New eclipse minimum timings of the M4.5/M4.5 binary CM Dra were
obtained between the years 2000 and 2007. In combination with published timings
going back to 1977, a clear non-linearity in observed-minus-calculated (O-C)
times has become apparent. Several models are applied to explain the observed
timing behavior.
  Aims: Revealing the processes that cause the observed O-C behavior, and
testing the evidence for a third body around the CM Dra system.
  Methods: The O-C times of the system were fitted against several functions,
representing different physical origins of the timing variations.
  Results: An analysis using model-selection statistics gives about equal
weight to a parabolic and to a sinusoidal fitting function. Attraction from a
third body, either at large distance in a quasi-constant constellation across
the years of observations or from a body on a shorter orbit generating
periodicities in O-C times is the most likely source of the observed O-C times.
The white dwarf GJ 630.1B, a proper motion companion of CM Dra, can however be
rejected as the responsible third body. Also, no further evidence of the
short-periodic planet candidate described by Deeg et al. (2000) is found,
whereas other mechanisms, such as period changes from stellar winds or
Applegate's mechanism can be rejected.
  Conclusions: A third body, being either a few-Jupiter-mass object with a
period of 18.5+-4.5 years or an object in the mass range of 1.5M_jup to
0.1M_sun with periods of hundreds to thousands of years is the most likely
origin of the observed minimum timing behavior.


title: A One-Way Function Based On The Extended Euclidean Algorithm

abstract:
  A problem based on the Extended Euclidean Algorithm applied to a class of
polynomials with many factors is presented and believed to be hard. If so, it
is a one-way function well suited for applications in digital signicatures.


title: A Simple Spin Glass Perspective on Martensitic Shape-memory Alloys

abstract:
  A brief qualitative mapping is given between austenite, tweed and twinned
phases of martensite alloys and corresponding paramagnetic, spin glass and
periodic phases in spin glass alloys.


title: The Effect of Pion Exchange in a Relativistic Quark Model of Baryons

abstract:
  We examine the effect of adding pion exchange between quarks and pion
self-energy corrections to the Los Alamos Relativistic Quark model with a short
distance cutoff of the Bethe form. The contributions to the nucleon and the
Delta-baryon are small. We conclude that the model is stable under this change
in the sense that significant changes to the model parameters are not required.


title:
Survival probability and energy modification of hydrogen Energetic
  Neutral Atoms on their way from the termination shock to Earth orbit

abstract:
  Context: With the forthcoming launch of a NASA SMEX mission IBEX devoted to
imaging of heliospheric interface by in-situ detection of Energetic Neutral
Atoms (ENA) an important issue becomes recognizing of transport of these atoms
from the termination shock of the solar wind to Earth orbit.
  Aims: Investigate modifications of energy and of survival probability of the
H ENA detectable by IBEX (0.01 -- 6 keV) between the termination shock and
Earth orbit taking into account the influence of the variable and anisotropic
solar wind and solar EUV radiation.
  Methods: Energy change of the atoms is calculated by numerical simulations of
orbits of the H ENA atoms from ~100 AU from the Sun down to Earth orbit, taking
into account solar gravity and Lyman-$\alpha$ radiation pressure, which is
variable in time and depends on radial velocity of the atom. To calculate
survival probabilities of the atoms against onization, a detailed 3D and
time-dependent model of H ENA ionization based on observations of the solar
wind and EUV ionizing radiation is constructed, and wth the use of this model
probabilities of survival of the atoms are calculated by numerical integration
along the previously calculated orbits.
  Results: Owing to the radiation pressure, H ENA reach the Earth orbit
practically without energy and direction change except the atoms with energy
lower than 0.1 keV during high solar activity. For a given energy at Earth
orbit one expects fluctuations of survival probability from ~20% at 0.01 keV
down to just a few percent at 6 keV and a modulation of survival probability as
a function of the location at Earth orbit, ecliptic latitude of the arrival
direction, and the phase of solar cycle with an amplitude of a few dozen
percent for 0.1 keV atoms at solar minimum to a few percent for 6 keV atoms at
solar maximum.


title: Higher Spin Fields in Siegel Space, Currents and Theta Functions

abstract:
  Dynamics of four-dimensional massless fields of all spins is formulated in
the Siegel space of complex $4\times 4$ symmetric matrices. It is shown that
the unfolded equations of free massless fields, that have a form of
multidimensional Schrodinger equations, naturally distinguish between positive-
and negative-frequency solutions of relativistic field equations, i.e.
particles and antiparticles. Multidimensional Riemann theta functions are shown
to solve massless field equations in the Siegel space. We establish the
correspondence between conserved higher-spin currents in four-dimensional
Minkowski space and those in the ten-dimensional matrix space. It is shown that
global symmetry parameters of the current in the matrix space should be
singular to reproduce a nonzero current in Minkowski space. The $\D$-function
integral evolution formulae for 4d massless fields in the Fock-Siegel space are
obtained. The generalization of the proposed scheme to higher dimensions and
systems of higher ranks is considered.


title:
A Preliminary VLBA Distance to the Core of Ophiuchus, with an Accuracy
  of 4%

abstract:
  The non-thermal 3.6 cm radio continuum emission from the young stars
  S1 and DoAr21 in the core of Ophiuchus, has been observed with the
  Very Long Baseline Array (VLBA) at 6 and 7 epochs, respectively, between June
2005 and August 2006. The typical separation between successive observations
was 2 to 3 months. Thanks to the remarkably accurate astrometry delivered by
the VLBA, the trajectory described by both stars on the plane of the sky could
be traced very precisely, and modeled as the superposition of their
trigonometric parallax and a uniform proper motion. The best fits yield
distances to S1 and DoAr21 of 116.9$^{+7.2}_{-6.4}$ pc and
121.9$^{+5.8}_{-5.3}$ pc, respectively. Combining these results, we estimate
the mean distance to the Ophiuchus core to be 120.0$^{+4.5}_{-4.2}$ pc, a value
consistent with several recent indirect determinations, but with a
significantly improved accuracy of 4%. Both S1 and DoAr21 happen to be members
of tight binary systems, but our observations are not frequent enough to
properly derive the corresponding orbital parameters. This could be done with
additional data, however, and would result in a significantly improved accuracy
on the distance determination.


title: Quantum Annealing and Analog Quantum Computation

abstract:
  We review here the recent success in quantum annealing, i.e., optimization of
the cost or energy functions of complex systems utilizing quantum fluctuations.
The concept is introduced in successive steps through the studies of mapping of
such computationally hard problems to the classical spin glass problems. The
quantum spin glass problems arise with the introduction of quantum
fluctuations, and the annealing behavior of the systems as these fluctuations
are reduced slowly to zero. This provides a general framework for realizing
analog quantum computation.


title:
Implications for Galaxy Evolution from the Cosmic Evolution of Supernova
  Rate Density

abstract:
  We report a comprehensive statistical analysis of the observational data of
the cosmic evolution of supernova (SN) rate density, to derive constraints on
cosmic star formation history and the nature of type Ia supernova (SN Ia)
progenitor. We use all available information of magnitude, SN type, and
redshift information of both type Ia and core-collapse (CC) SNe in GOODS and
SDF, as well as SN Ia rate densities reported in the literature. Furthermore,
we also add 157 SN candidates in the past Subaru/Suprime-Cam data that are
newly reported here, to increase the statistics. We find that the current data
set of SN rate density evolution already gives a meaningful constraint on the
evolution of the cosmic star formation rate (SFR) at z <~ 1, though strong
constraints cannot be derived for the delay time distribution (DTD) of SNe Ia.
We derive a constraint of the evolutionary index of SFR density alpha ~ 3--4
[(1+z)^alpha at z <~ 1] with an evidence for a significant evolution of mean
extinction of CC SNe [E(B-V) ~ 0.5 at z ~ 0.5 compared with ~ 0.2 at z = 0],
which does not change significantly within a reasonable range of various DTD
models. This result is nicely consistent with the systematic trend of alpha
estimates based on galactic SFR indicators in different wavelengths
(ultraviolet, H_alpha, and infrared), indicating that there is a strong
evolution in mean extinction of star forming regions in galaxies at relatively
low redshift range of z <~ 0.5. These results are obtained by a method that is
completely independent of galaxy surveys, and especially, there is no detection
limit about the host galaxy luminosity in our analysis, giving a strong
constraint on the star formation activity in high-z dwarf galaxies or
intergalactic space.


title:
Scaling Behavior of Transverse Kinetic Energy Distributions in Au+Au
  Collisions at $\sqrt{s_{\rm NN}}=200$ GeV

abstract:
  With the experimental data from STAR on the centrality dependence of
transverse momentum $p_T$ spectra of pions and protons in Au+Au collisions at
$\sqrt{s_{NN}}=200 {\rm GeV}$, we investigate the scaling properties of
transverse energy $E_T$ distributions at different centralities. In the
framework of cluster formation and decay mechanism for particle production, the
universal transverse energy distributions for pion and proton can be described
separately but not simultaneously.


title: Tourism networks and computer networks

abstract:
  The body of knowledge accumulated in recent years on the structure and the
dynamics of complex networks has offered useful insights on the behaviour of
many natural and artificial complex systems. The analysis of some of these,
namely those formed by companies and institutions, however, has proved
problematical mainly for the difficulties in collecting a reasonable amount of
data. This contribution argues that the World Wide Web can provide an efficient
and effective way to gather significant samples of networked socio-economic
systems to be used for network analyses and simulations. The case discussed
refers to a tourism destination, the fundamental subsystem of an industry which
can be considered one of the most important in today's World economy.


title:
Heuristic Derivation of Blackbody Radiation Laws using Principles of
  Dimensional Analysis

abstract:
  A generalized form of Wien's displacement law and the blackbody radiation
laws of (a) Rayleigh and Jeans, (b) Rayleigh, (c) Wien and Paschen, (d) Thiesen
and (e) Planck are derived using principles of dimensional analysis. This kind
of scaling is expressed in a strictly mathematical manner employing dimensional
pi-invariants analysis sometimes called Buckingham's pi-theorem. It is shown
that in the case of the classical radiation law of Rayleigh and Jeans only one
pi number occurs that has to be considered as a non-dimensional universal
constant. This pi number may be determined theoretically or/and empirically. It
is also shown that dimensional pi-invariants analysis yields a generalized form
of Wien's displacement law. In this instance two pi numbers generally occur.
Consequently, a universal function is established that is indispensable to
avoid the so-called Rayleigh-Jeans catastrophe in the ultraviolet.
Unfortunately, such a universal function cannot be inferred from dimensional
arguments. It has to be derived theoretically or/and empirically, too. It is
shown that such a similarity function can be deduced on the basis of heuristic
principles, when criteria like the maximum condition regarding the generalized
form of Wien's displacement law, the requirement of the power law of Stefan and
Boltzmann, and Ehrenfest's arguments regarding the red and the violet
requirements are adopted.


title: Theory of non-lc ideal sheaves -basic properties-

abstract:
  We introduce the notion of non-lc ideal sheaves. It is an analogue of the
notion of multiplier ideal sheaves. We establish the restriction theorem, which
seems to be the most important property of non-lc ideal sheaves.


title:
One-Loop Renormalization of Non-Abelian Gauge Theory and \beta Function
  Based on Loop Regularization Method

abstract:
  All one-loop renormalization constants for Non-Abelian gauge theory are
computed in details by using the symmetry-preserving Loop Regularization method
proposed in\cite{LR1,LR2}. The resulting renormalization constants are
manifestly shown to satisfy Ward-Takahaski-Slavnov-Taylor identities, and lead
to the well-known one loop $\beta$ function for Non-Abelian gauge theory of
QCD\cite{GWP}. The loop regularization method is realized in the dimension of
original field theories, it maintains not only symmetries but also divergent
behaviors of original field theories with the introduction of two energy
scales. Such two scales play the roles of characterizing and sliding energy
scales as well as ultraviolet and infrared cutoff energy scales. An explicit
Check of those identities provides a clear demonstration how the
symmetry-preserving Loop Regularization method can consistently be applied to
non-Abelian gauge theories.


title:
Extended Optical Model Analyses of Elastic Scattering and Fusion Cross
  Section Data for the $^{12}$C+$^{208}$Pb System at Near-Coulomb-Barrier
  Energies by using a Folding Potential

abstract:
  Simultaneous $\chi^{2}$ analyses are performed for elastic scattering and
fusion cross section data for the $^{12}$C+$^{208}$Pb system at
near-Coulomb-barrier energies by using the extended optical model approach in
which the polarization potential is decomposed into direct reaction (DR) and
fusion parts. Use is made of the double folding potential as a bare potential.
It is found that the experimental elastic scattering and fusion data are well
reproduced without introducing any normalization factor for the double folding
potential and also that both DR and fusion parts of the polarization potential
determined from the $\chi^{2}$ analyses satisfy separately the dispersion
relation. Furthermore, it is shown that the imaginary parts of both DR and
fusion potentials at the strong absorption radius change very rapidly, which
results in a typical threshold anomaly in the total imaginary potential as
observed with tightly bound projectiles such as $\alpha$-particle and $^{16}$O.


title: Policies of System Level Pipeline Modeling

abstract:
  Pipelining is a well understood and often used implementation technique for
increasing the performance of a hardware system. We develop several SystemC/C++
modeling techniques that allow us to quickly model, simulate, and evaluate
pipelines. We employ a small domain specific language (DSL) based on resource
usage patterns that automates the drudgery of boilerplate code needed to
configure connectivity in simulation models. The DSL is embedded directly in
the host modeling language SystemC/C++. Additionally we develop several
techniques for parameterizing a pipeline's behavior based on policies of
function, communication, and timing (performance modeling).


title:
Hanle Effect Diagnostics of the Coronal Magnetic Field - A Test Using
  Realistic Magnetic Field Configurations

abstract:
  Our understanding of coronal phenomena, such as coronal plasma
thermodynamics, faces a major handicap caused by missing coronal magnetic field
measurements. Several lines in the UV wavelength range present suitable
sensitivity to determine the coronal magnetic field via the Hanle effect. The
latter is a largely unexplored diagnostic of coronal magnetic fields with a
very high potential. Here we study the magnitude of the Hanle-effect signal to
be expected outside the solar limb due to the Hanle effect in polarized
radiation from the H {\sc{i}} Ly$\alpha$ and $\beta$ lines, which are among the
brightest lines in the off-limb coronal FUV spectrum. For this purpose we use a
magnetic field structure obtained by extrapolating the magnetic field starting
from photospheric magnetograms. The diagnostic potential of these lines for
determining the coronal magnetic field, as well as their limitations are
studied. We show that these lines, in particular H {\sc{i}} Ly$\beta$, are
useful for such measurements.


title:
Broadband ferromagnetic resonance of Ni81Fe19 wires using a rectifying
  effect

abstract:
  The broadband ferromagnetic resonance measurement using the rectifying effect
of Ni81Fe19 wire has been investigated. One wire is deposited on the center
strip line of the coplanar waveguide (CPW) and the other one deposited between
two strip lines of CPW. The method is based on the detection of the
magnetoresistance oscillation due to the magnetization dynamics induced by the
radio frequency field. The magnetic field dependences of the resonance
frequency and the rectification spectrum are presented and analytically
interpreted on the standpoint of a uniform magnetization precession model.


title: Supersymmetric Inflation of Dynamical Origin

abstract:
  Dynamical models of inflation are given with composite inflatons by means of
massive supersymmetric gauge theory. Nearly flat directions and stable massive
ones in the potential are identified and slow-roll during inflation is
examined. This kind of dynamical inflations may be ubiquitous in fundamental
unified theory with supersymmetry, which should contain gauge theories for
interactions of elementary particles.


title:
Classification of Irreducible Weight Modules with a Finite-dimensional
  Weight Space over the Twisted Schr\"{o}dinger-Virasoro Lie algebra

abstract:
  It is shown that the support of an irreducible weight module over the
Schr\"{o}dinger-Virasoro Lie algebra with an infinite-dimensional weight space,
coincides with the weight lattice and that all nontrivial weight spaces of such
a module are infinite-dimensional. As a side-product, it is obtained that every
simple weight module over the Schr\"{o}dinger-Virasoro Lie algebra with a
nontrivial finite-dimensional weight space, is a Harish-Chandra module.


title:
Detector for imaging of explosions: present status and future prospects
  with higher energy X-rays

abstract:
  The detector for imaging of explosions (DIMEX) is in operation at the
synchrotron radiation (SR) beam-line at VEPP-3 electron ring at Budker INP
since 2002. DIMEX is based on one-coordinate gas ionization chamber filled with
Xe-CO2(3:1) mixture at 7atm, and active Frisch-grid made of Gas Electron
Multiplier (GEM). The detector has spatial resolution of ~0.2mm and dynamic
range of ~100 that allows to realize the precision of signal measurement at a
percent level. The frame rate can be tuned up to 8 MHz (125 ns per image) and
up to 32 images can be stored in one shot. At present DIMEX is used with the
X-ray beam from 2T wiggler that has ~20 keV average energy. Future possibility
to install similar detector at the SR beam-line at VEPP-4 electron ring is
discussed.


title:
The derivation algebra and automorphism group of the twisted
  Schr\"{o}dinger-Virasoro algebra

abstract:
  In this article, we determine the derivation algebra and the automorphism
group of the twisted Schr\"{o}dinger-Virasoro algebra.


title:
Anomalous properties of the Kronig-Penney model with compositional and
  structural disorder

abstract:
  We study the localization properties of the eigenstates in the Kronig-Penney
model with weak compositional and structural disorder. The main result is an
expression for the localization length that is valid for any kind of self- and
inter-correlations of the two types of disorder. We show that the interplay
between compositional and structural disorder can result in anomalous
localization.


title: Representations of the Schr\"{o}dinger-Virasoro algebras

abstract:
  In this paper it is proved that an irreducible weight module with
finite-dimensional weight spaces over the Schr\"{o}dinger-Virasoro algebras is
a highest/lowest weight module or a uniformly bounded module. Furthermore,
indecomposable modules of the intermediate series over these algebras are
completely determined.


title: 2-Cocycles of Deformative Schr\"{o}dinger-Virasoro Algebras

abstract:
  In a series of papers by Henkel, Roger and Unterberger,
Schr\"{o}dinger-Virasoro algebras and their deformations were introduced and
investigated. In the present paper we determine the 2-cocycles of a class of
deformative Schr\"{o}dinger-Virasoro algebras.


title:
Leibniz Central Extension on the Twisted Schr\"{o}dinger-Virasoro
  Algebra

abstract:
  In this paper we present all the Leibniz 2-cocycles of the twisted
Schr\"{o}dinger-Virasoro algebra, which determine its second Leibniz cohomology
group.


title:
Superconducting coherence peak in the electronic excitations of a single
  layer cuprate superconductor $Bi_2 Sr_{1.6} La_{0.4} Cu O_{6+\delta}$

abstract:
  Angle resolved photoemission spectroscopy study is reported on a high quality
optimally doped Bi2Sr1.6La0.4CuO6+delta high Tc superconductor. In the
antinodal region with maximal d-wave gap, the symbolic superconducting
coherence peak, which has been widely observed in multi-CuO2-layer cuprate
superconductors, is unambiguously observed in a single layer system. The
associated peak-dip separation is just about 19 meV, which is much smaller than
its counterparts in multi-layered compounds, but correlates with the energy
scales of spin excitations in single layer cuprates.


title: Unfolded Description of $AdS_4$ Kerr Black Hole

abstract:
  It is shown that $AdS_4$ Kerr black hole is a solution of simple unfolded
differential equations that form a deformation of the zero-curvature
description of empty $AdS_4$ space-time. Our construction uses the Killing
symmetries of the Kerr solution. All known and some new algebraic properties of
the Kerr-Schild solution result from the obtained black hole unfolded system in
the coordinate-independent way. Kerr Schild type solutions of free equations in
$AdS_4$ for massless fields of any spin, associated to the proposed black hole
unfolded system, are found.


title: Intra-cellular traffic: bio-molecular motors on filamentary tracks

abstract:
  Molecular motors are macromolecular complexes which use some form of input
energy to perform mechanical work. The filamentary tracks, on which these
motors move, are made of either proteins (e.g., microtubules) or nucleic acids
(DNA or RNA). Often, many such motors move simultaneously on the same track and
their collective properties have superficial similarities with vehicular
traffic on highways. The models we have developed provide ``unified''
description: in the low-density limit, a model captures the transport
properties of a single motor while, at higher densities the same model accounts
for the collective spatio-temporal organization of interacting motors. By
drawing analogy with vehicular traffic, we have introduced novel quantities for
characterizing the nature of the spatio-temporal organization of molecular
motors on their tracks. We show how the traffic-like intracellular collective
phenomena depend on the mechano-chemistry of the corresponding individual
motors.


title:
The Utility of Time-Symmetric Quantum Counterfactuals: A Response to
  Kastner

abstract:
  Kastner's (Philosophy of Science 70, 2003, pp. 145--163) recent objections to
the counterfactual usage of the time-symmetric Aharonov-Bergmann-Lebowitz rule
by the author, especially her claims that the resulting time-symmetric quantum
counterfactuals are vacuous or invalid, are examined and shown to be unfounded
or beside the point.


title: Knots in Riemannian manifolds

abstract:
  In this paper we study submanifold with nonpositive extrinsic curvature in a
positively curved manifold. Among other things we prove that, if $K\subset
(S^n, g)$ is a totally geodesic submanifold in a Riemannian sphere with
positive sectional curvature where $n\ge 5$, then $K$ is homeomorphic to
$S^{n-2}$ and the fundamental group of the knot complement $\pi_1(S^n-K)\cong
\Bbb Z$.


title: Carbon Nanotubes in Helically Modulated Potentials

abstract:
  We calculate effects of an applied helically symmetric potential on the low
energy electronic spectrum of a carbon nanotube in the continuum approximation.
The spectrum depends on the strength of this potential and on a dimensionless
geometrical parameter, P, which is the ratio of the circumference of the
nanotube to the pitch of the helix. We find that the minimum band gap of a
semiconducting nanotube is reduced by an arbitrarily weak helical potential,
and for a given field strength there is an optimal P which produces the biggest
change in the band gap. For metallic nanotubes the Fermi velocity is reduced by
this potential and for strong fields two small gaps appear at the Fermi surface
in addition to the gapless Dirac point. A simple model is developed to estimate
the magnitude of the field strength and its effect on DNA-CNT complexes in an
aqueous solution. We find that under typical experimental conditions the
predicted effects of a helical potential are likely to be small and we discuss
several methods for increasing the size of these effects.


title: Hidden variable models for quantum theory cannot have any local part

abstract:
  It was shown by Bell that no local hidden variable model is compatible with
quantum mechanics. If, instead, one permits the hidden variables to be entirely
non-local, then any quantum mechanical predictions can be recovered. In this
paper, we consider general hidden variable models which can have both local and
non-local parts. We then show the existence of (experimentally verifiable)
quantum correlations that are incompatible with any hidden variable model
having a non-trivial local part, such as the model proposed by Leggett.


title:
Dynamics of the electron-nuclear and heteronuclear polarization
  transfers in optically-oriented semi-insulating InP:Fe

abstract:
  Dynamics of the electron-nuclear and heteronuclear polarization-transfer
processes in the optically oriented semi-insulating iron-doped indium phosphide
were investigated through the characteristic time scales of the processes. (1)
We find in the optical nuclear orientation process that the buildup times for
31P and 115In nuclear polarizations are of the same order. From the analysis of
the cross-relaxation process between photo-excited electrons and nuclei, it is
concluded that electron-nuclear dipolar-couplings are responsible for the
polarization transfer in this case. This example shows that the nuclear-site
dependence of the buildup time can be utilized to identify hyperfine couplings
responsible for the process. (2) We find in the heteronuclear polarization
transfer (cross polarization) process between optically oriented 31P and 115In
that the cross-relaxation time is rather short; it is an order of magnitude
shorter than that expected for nuclear dipolar couplings when a magnetic field
is applied parallel to the crystalline [100] axis. From the cross polarization
spectral density analysis, it is concluded that a large J-coupling of the order
of 2 kHz exists between these nuclei and that its angular dependence is not of
a simple pseudo-dipolar type.


title:
Absolute emission rates of Spontaneous Parametric Down Conversion into
  single transverse Gaussian modes

abstract:
  We provide an estimate on the absolute values of the emission rate of photon
pairs produced by spontaneous parametric down conversion in a bulk crystal when
all interacting fields are in single transverse Gaussian modes. Both collinear
and non-collinear configurations are covered, and we arrive at a fully
analytical expression for the collinear case. Our results agree reasonably well
with values found in typical experiments, which allows this model to be used
for understanding the dependency on the relevant experimental parameters.


title: On the topology of manifolds with positive isotropic curvature

abstract:
  We show that a closed orientable Riemannian $n$-manifold, $n \ge 5$, with
positive isotropic curvature and free fundamental group is homeomorphic to the
connected sum of copies of $S^{n-1} \times S^1$.


title:
Structural and magnetic properties of half-heusler alloys NiCrZ (Z = Si,
  P, Ge, As, Te): First principle study

abstract:
  We present a first principle study of new class of high-$T_c$ half-heusler
ferromagnets NiCrZ (Z = Si, P, Ge, As, Te). The structure and magnetic
properties are investigated through the calculation of the electronic
structure, equilibrium lattice constant, magnetic exchange interaction $J_{ij}$
and Curie temperature $T_c$. The role of $sp$-elements and the influence of
lattice expansion/compression are also studied. In alloys having 20 valence
electrons, a pseudo-gap of the majority band can be formed at Fermi level.
Otherwise, the half-metallicity and ferromagnetism at temperatures much higher
than room temperature are found to be stable in a wide range of lattice
expansion. Based on these results, NiCrZ can be expected to be promising
materials for spintronics.


title: Cloaking of Matter Waves

abstract:
  Invariant transformation for quantum mechanical systems is proposed. A
cloaking of matter wave can be realized at given energy by designing the
potential and effective mass of the matter waves in the cloaking region. The
general conditions required for such a cloaking are determined and confirmed by
both the wave and particle (classical) approaches. We show that it may be
possible to construct such a cloaking system for cold atoms using optical
lattices.


title: A powerful test based on tapering for use in functional data analysis

abstract:
  A test based on tapering is proposed for use in testing a global linear
hypothesis under a functional linear model. The test statistic is constructed
as a weighted sum of squared linear combinations of Fourier coefficients, a
tapered quadratic form, in which higher Fourier frequencies are down-weighted
so as to emphasize the smooth attributes of the model. A formula is
$Q_n^{OPT}=n\sum_{j=1}^{p_n}j^{-1/2}\|\boldsymbol{Y}_{n,j}\|^2$. Down-weighting
by $j^{-1/2}$ is selected to achieve adaptive optimality among tests based on
tapering with respect to its ``rates of testing,'' an asymptotic framework for
measuring a test's retention of power in high dimensions under smoothness
constraints. Existing tests based on truncation or thresholding are known to
have superior asymptotic power in comparison with any test based on tapering;
however, it is shown here that high-order effects can be substantial, and that
a test based on $Q_n^{OPT}$ exhibits better (non-asymptotic) power against the
sort of alternatives that would typically be of concern in functional data
analysis applications. The proposed test is developed for use in practice, and
demonstrated in an example application.


title: New High-$T_c$ Half-Heusler Ferromagnets NiMnZ (Z = Si, P, Ge, As)

abstract:
  Based on the first principle calculation, we propose a new class of
high-$T_c$ half-heusler ferromagnets NiMnZ (Z = Si, P, Ge, As). The structural
and magnetic properties are investigated through the calculation of the
electronic structure, phase stability, equilibrium lattice constant, magnetic
exchange interaction $J_{ij}$ and Curie temperature $T_c$. It is found that all
alloys show half-metallicity and ferromagnetism at temperatures much higher
than room temperature in a wide range of lattice expansion (compression). At
the equilibrium lattice constant, $T_c$ of 715K, 840K, 875K and 1050K are
predicted by Monte Carlo simulation for NiMnP, NiMnAs, NiMnGe and NiMnSi,
respectively. Following these results, these alloys are strongly expected to be
promising candidates for spintronic applications.


title: Programming an interpreter using molecular dynamics

abstract:
  PGA (ProGram Algebra) is an algebra of programs which concerns programs in
their simplest form: sequences of instructions. Molecular dynamics is a simple
model of computation developed in the setting of PGA, which bears on the use of
dynamic data structures in programming. We consider the programming of an
interpreter for a program notation that is close to existing assembly languages
using PGA with the primitives of molecular dynamics as basic instructions. It
happens that, although primarily meant for explaining programming language
features relating to the use of dynamic data structures, the collection of
primitives of molecular dynamics in itself is suited to our programming wants.


title: On scattering for NLS: from Euclidean to hyperbolic space

abstract:
  We prove asymptotic completeness in the energy space for the nonlinear
Schrodinger equation posed on hyperbolic space in the radial case, in space
dimension at least 4, and for any energy-subcritical, defocusing, power
nonlinearity. The proof is based on simple Morawetz estimates and weighted
Strichartz estimates. We investigate the same question on spaces which kind of
interpolate between Euclidean space and hyperbolic space, showing that the
family of short range nonlinearities becomes larger and larger as the space
approaches the hyperbolic space. Finally, we describe the large time behavior
of radial solutions to the free dynamics.


title:
Dielectric quantification of conductivity limitations due to nanofiller
  size in conductive powders and nanocomposites

abstract:
  Conducting submicron particles are well-suited as filler particles in
non-conducting polymer matrices to obtain a conducting composite with a low
percolation threshold. Going to nanometer-sized filler particles imposes a
restriction to the conductivity of the composite, due to the reduction of the
density of states involved in the hopping process between the particles,
compared to its value within the crystallites. We show how those microscopic
parameters that govern the charge-transport processes across many decades of
length scales, can accurately and consistently be determined by a range of
dielectric-spectroscopy techniques from a few Hz to infrared frequencies. The
method, which is suited for a variety of systems with restricted geometries, is
applied to densely packed 7-nm-sized tin-oxide crystalline particles with
various degree of antimony doping and the quantitative results unambiguously
show the role of the nanocrystal charging energy in limiting the hopping
process.


title: Higher-order QCD effects in the Higgs to ZZ search channel at the LHC

abstract:
  We present a consistent analysis of the signal as well as the irreducible
background for the search of the SM Higgs boson in the ZZ decay channel at the
LHC. Soft-gluons effects are resummed up to next-to-leading logarithmic
accuracy, and the results are compared to those obtained with fixed order
calculations and the MC@NLO event generator. The soft-gluon effects are
typically modest but should be taken into account when precise predictions are
demanded. Our results show that the signal over background ratio can be
significantly enhanced with a cut on the transverse momentum pt(ZZ) of the ZZ
pair. We also introduce a fully transverse angular variable that could give
information about the CP nature of the Higgs boson.


title: Analysis of the quadratic term in the backscattering transformation

abstract:
  The quadratic term in the Taylor expansion at the origin of the
backscattering transformation in odd dimensions $n\ge 3$ gives rise to a
symmetric bilinear operator $B_2$ on $C_0^\infty({\mathbb R}^n)\times
C_0^\infty({\mathbb R}^n)$. In this paper we prove that $B_2$ extends to
certain Sobolev spaces with weights and show that it improves both regularity
and decay.


title: Spatial modelling for mixed-state observations

abstract:
  In several application fields like daily pluviometry data modelling, or
motion analysis from image sequences, observations contain two components of
different nature. A first part is made with discrete values accounting for some
symbolic information and a second part records a continuous (real-valued)
measurement. We call such type of observations "mixed-state observations". This
paper introduces spatial models suited for the analysis of these kinds of data.
We consider multi-parameter auto-models whose local conditional distributions
belong to a mixed state exponential family. Specific examples with exponential
distributions are detailed, and we present some experimental results for
modelling motion measurements from video sequences.


title:
Molecular structure of the Bs0*(5725) and Bs1(5778) bottom-strange
  mesons

abstract:
  We discuss a possible interpretation of the scalar Bs0*(5725) and axial
Bs1(5778) bottom-strange mesons as hadronic molecules - bound states of B K and
B* K mesons, respectively. Using a phenomenological Lagrangian approach we
analyze the strong Bs0* to Bs pi0, Bs1 to Bs* pi0 and the radiative Bs0* to Bs*
gamma, Bs1 to Bs gamma, Bs1 to Bs* gamma, Bs1 to Bs0* gamma decays. We give
predictions for the decay properties: effective couplings and decay widths.


title: Analysis of Non-binary Hybrid LDPC Codes

abstract:
  In this paper, we analyse asymptotically a new class of LDPC codes called
Non-binary Hybrid LDPC codes, which has been recently introduced. We use
density evolution techniques to derive a stability condition for hybrid LDPC
codes, and prove their threshold behavior. We study this stability condition to
conclude on asymptotic advantages of hybrid LDPC codes compared to their
non-hybrid counterparts.


title: Hermite expansions and Hardy's theorem

abstract:
  Assuming that both a function and its Fourier transform are dominated by a
Gaussian of large variance, it is shown that the Hermite coefficients of the
function decay exponentially. A sharp estimate for the rate of exponential
decay is obtained in terms of the variance, and in the limiting case (when the
variance becomes so small that the Gaussian is its own Fourier transform),
Hardy's theorem on Fourier transform pairs is obtained. A quantitative result
on the confinement of particle-like states of a quantum harmonic oscillator is
obtained. A stronger form of the result is conjectured. Further, it is shown
how Hardy's theorem may be derived from a weak version of confinement without
using complex analysis.


title:
A Resonant soft x-ray powder diffraction study to determine the orbital
  ordering in A-site ordered SmBaMn2O6

abstract:
  Soft X-ray resonant powder diffraction has been performed at the Mn L2,3
edges of A-site ordered SmBaMn2O6. The energy and polarization dependence of
the (1/2 1/2 0) reflection provide direct evidence for a (x2-z2)/(y2-z2) type
orbital ordering in contrast to the single layer manganite. The temperature
dependence of the reflection indicates an orbital reorientation transition at
210 K, below which the charge and orbital ordered MnO2 sheets show AAAA type of
stacking. The concurring reduction of the ferromagnetic super exchange
correlations leads to further charge localization.


title:
Dust in the disk winds from young stars as a source of the circumstellar
  extinction

abstract:
  We examine a problem of the dust grains survival in the disk wind in T Tauri
stars (TTSs). For consideration we choose the disk wind model described by
Garcia et al. (2001), where a gas component of the wind is heated by an
ambipolar diffusion up to the temperature of the order of 10$^4$ K. It is shown
that the dust grains heating due to collisions with the gas atoms and electrons
is inefficient in comparison with heating by the stellar radiation, and thus,
dust survives even in the hot wind component. Owing to this, the disk wind may
be opaque for the ultraviolet and optical radiation of the star and is capable
to absorb its noticeable fraction. Calculations show that at the accretion rate
$\dot{M_a} = 10^{-8}-10^{-6} M_\odot$ per year this fraction for TTSs may range
from 20% to 40% of a total luminosity of the star correspondingly. This means
that the disk wind in TTSs can play the same role as the puffed inner rim
considered in the modern models of accretion disks. In Herbig Ae stars (HAEs)
inner regions of the disk winds ($r \le 0.5$ AU) are free of dust since there
dust grains sublimate under the effect of the radiation of the star. Therefore,
in this case a fraction of the absorbed radiation by the disk wind is
significantly less, and may be compared with the effect of the "puffed-up inner
rim" only at $\dot{M_a} \geq 10^{-6} M_\odot$ yr$^{-1}$. Due to the structural
inhomogeneity of the disk wind its optical depth towards an observer may be
variable resulting in the photometric activity of the young stars. For the same
reason, one can observe moving shadows from the gas and dust streams with the
spiral-like structure on the highly resolved circumstellar disk images.


title: Full one-loop amplitudes from tree amplitudes

abstract:
  We establish an efficient polynomial-complexity algorithm for one-loop
calculations, based on generalized $D$-dimensional unitarity. It allows
automated computations of both cut-constructible {\it and} rational parts of
one-loop scattering amplitudes from on-shell tree amplitudes. We illustrate the
method by (re)-computing all four-, five- and six-gluon scattering amplitudes
in QCD at one-loop.


title: Sivers and Collins Single Spin Asymmetries

abstract:
  The Sivers and Collins asymmetries are the most prominent Single Spin
Asymmetries (SSA)in Semi-Inclusive Deeply Inelastic Scattering (SIDIS)with
transverse target polarization. In this talk we present our understanding of
these phenomena.


title: On Frenkel-Mukhin algorithm for q-character of quantum affine algebras

abstract:
  The q-character is a strong tool to study finite-dimensional representations
of quantum affine algebras. However, the explicit formula of the q-character of
a given representation has not been known so far. Frenkel and Mukhin proposed
the iterative algorithm which generates the q-character of a given irreducible
representation starting from its highest weight monomial. The algorithm is
known to work for various classes of representations. In this note, however, we
give an example in which the algorithm fails to generate the q-character.


title:
High momentum entanglement of cold atoms generated by a single photon
  scattering

abstract:
  With the mechanism of pairwise scattering of photons between two atoms, we
propose a novel scheme to highly entangle the motional state between two
ultracold neutral atoms by a single photon scattering and detection. Under
certain conditions, it is shown that an arbitrary amount of entanglement can be
obtained with this scheme.


title:
Testing quantum correlations versus single-particle properties within
  Leggett's model and beyond

abstract:
  Quantum theory predicts and experiments confirm that nature can produce
correlations between distant events that are nonlocal in the sense of violating
a Bell inequality. Nevertheless, Bell's strong sentence {\it Correlations cry
out for explanations} remains relevant. The maturing of quantum information
science and the discovery of the power of nonlocal correlations, e.g. for
cryptographic key distribution beyond the standard Quantum Key Distribution
schemes, strengthen Bell's wish and make it even more timely.
  In 2003, Leggett proposed an alternative model for nonlocal correlations
[Found. Phys. 33, 1469 (2003)], that he proved to be incompatible with quantum
predictions. We present here a new approach to this model, along with new
inequalities for testing it. Remarkably these inequalities can be derived in a
very simple way, assuming only the non-negativity of probability distributions;
they are also stronger than previously published Leggett-type inequalities. The
simplest of these inequalities is experimentally violated. Then we go beyond
Leggett's model, and show that one cannot ascribe even partially defined
individual properties to the components of a maximally entangled pair.


title:
Information Spectrum Approach to Second-Order Coding Rate in Channel
  Coding

abstract:
  Second-order coding rate of channel coding is discussed for general sequence
of channels. The optimum second-order transmission rate with a constant error
constraint $\epsilon$ is obtained by using the information spectrum method. We
apply this result to the discrete memoryless case, the discrete memoryless case
with a cost constraint, the additive Markovian case, and the Gaussian channel
case with an energy constraint. We also clarify that the Gallager bound does
not give the optimum evaluation in the second-order coding rate.


title: Cosets, genericity, and the Weyl group

abstract:
  We prove a non-generosity theorem for proper cosets in groups of finite
Morley rank and elaborate on the theory of Weyl groups in this context.


title:
Low energy theorems and the unitarity bounds in the extra U(1)
  superstring inspired E6 models

abstract:
  The conventional method using low energy theorems [3] does not seem to lead
to an explicit unitarity limit in the scattering processes of longitudinally
polarized gauge bosons for the high energy case in the extra U(1) superstring
inspired models, commonly known as eta model, emanating from E6 group of
superstring theory. We have made use of an alternative procedure given in [14],
which is applicable to SUSY GUT. Explicit unitarity bounds on the Yukawa
couplings are obtained from both using unitarity constraints as well as using
RGE analysis at one-loop level utilizing critical couplings concepts implying
divergence of scalar coupling at MG. These are found to be consistent with
finiteness over the entire range MZ<=sqrt(s)<=MG. For completeness, the similar
approach has been made use of in other models, i.e., chi, psi, and nu models
emanating from E6 and it has been noticed that at weak scale, the unitarity
bounds on Yukawa couplings do not differ among E6 extra U(1) models
significantly except for the case of chi model in 16 representations.
Theoretically we have obtained the upper bounds on top quark and lightest
neutral higgs boson mass using the unitarity constrained superpotential
couplings and also obtained the D-quark mass as a function of MZ2 is O(3 TeV)
for MZ2 is O(1 TeV). The obtained bounds on these physical parameters are found
consistent with the present day experimental precision measurements.


title: Isotopic anomaly and stratification of Ca in magnetic Ap stars

abstract:
  We have carried out an accurate investigation of the Ca isotopic composition
and stratification in the atmospheres of 23 magnetic chemically peculiar (Ap)
stars of different temperature and magnetic field strength. With the UVES
spectrograph at the 8m ESO VLT, we have obtained high-resolution spectra of Ap
stars in the wavelength range 3000-10000 A. Using a detailed spectrum synthesis
calculations, we have reproduced a variety of Ca lines in the optical and
ultraviolet spectral regions, inferring the overall vertical distribution of Ca
abundance, then we have deduced the relative isotopic composition and its
dependence on height using the profile of the the IR-triplet Ca II line at
lambda 8498 A. In 22 out of 23 studied stars, we found that Ca is strongly
stratified, being usually overabundant by 1.0-1.5 dex below log tau_5000 ~ -1,
and strongly depleted above log tau_5000 = -1.5. The IR-triplet Ca II line at
lambda 8498 A reveals a significant contribution of the heavy isotopes 46Ca and
48Ca, which represent less than 1% of the terrestrial Ca isotopic mixture. We
confirm our previous finding that the presence of heavy Ca isotopes is
generally anticorrelated with the magnetic field strength. Moreover, we
discover that in Ap stars with relatively small surface magnetic fields (<=4-5
kG), the light isotope 40Ca is concentrated close to the photosphere, while the
heavy isotopes are dominant in the outer atmospheric layers. This vertical
isotopic separation, observed for the first time for any metal in a stellar
atmosphere, disappears in stars with magnetic field strength above 6-7 kG. We
suggest that the overall Ca stratification and depth-dependent isotopic anomaly
observed in Ap stars may be attributed to a combined action of the
radiatively-driven diffusion and light-induced drift.


title: Light emitting diodes of inverse spin valves

abstract:
  We propose making light emitting diodes out of inverse spin valves. The
proposed diodes rely on the spin-dependent electron transport of inverse spin
valves that are layered structures of a ferromagnetic half-metal sandwiched
between two non-magnetic metals. Under a bias, a giant spin-dependent chemical
potential difference between spin-up and spin-down electrons is created. Thus,
the inverse spin valves are possible to emit light when electrons in higher
chemical potential go to the lower chemical potential. The advantages of this
type of light emitting diodes include tunableness and less demand on materials.


title: Cohomological properties of non-standard multigraded modules

abstract:
  In this paper we study some cohomological properties of non-standard
multigraded modules and Veronese transforms of them. Among others numerical
characters, we study the generalized depth of a module and we see that it is
invariant by taking a Veronese transform. We prove some vanishing theorems for
the local cohomology modules of a multigraded module; as a corollary of these
results we get that the depth of a Veronese module is asymptotically constant.


title: Free-energy-dissipative schemes for the Oldroyd-B model

abstract:
  In this article, we analyze the stability of various numerical schemes for
differential models of viscoelastic fluids. More precisely, we consider the
prototypical Oldroyd-B model, for which a free energy dissipation holds, and we
show under which assumptions such a dissipation is also satisfied for the
numerical scheme. Among the numerical schemes we analyze, we consider some
discretizations based on the log-formulation of the Oldroyd-B system proposed
by Fattal and Kupferman, which have been reported to be numerically more stable
than discretizations of the usual formulation in some benchmark problems. Our
analysis gives some tracks to understand these numerical observations.


title:
Exchange Interaction and $T_c$ in Alkaline-earth-metal-oxide-based DMS
  without Magnetic Impurities: First Principle Pseudo-SIC and Monte Carlo
  Calculation

abstract:
  The prospects of half-metallic ferromagnetism being induced by the
incorporation of C atoms into alkaline-earth-metal-oxides are investigated by
the first principle calculation. The origin of the ferromagnetism is discussed
through the calculation of the electronic structure and exchange coupling
constant by using the pseudo-potential-like self-interaction-corrected local
spin density method. The Curie temperature ($T_c$) is also predicted by
employing the Monte Carlo simulation. It is shown that by taking the electron
self-interaction into account, the half-metallic ferromagnetism induced by C in
the host materials is more stabilized in comparison with the standard LDA case,
and the C's $2p$ electron states in the bandgap become more localized resulting
in the predominance of the short-ranged exchange interaction. While the
ferromagnetism in MgO$_{1-x}$C$_x$ is stabilized due to the exchange
interaction of the $1st$-nearest neighbor pairs and might be suppressed by the
anti-ferromagnetic super-exchange interaction at higher $x$, the ferromagnetism
in CaO$_{1-x}$C$_x$, SrO$_{1-x}$C$_x$, and BaO$_{1-x}$C$_x$ is stabilized by
both the $1st$- and $2nd$-nearest neighbor pairs, and $T_c$ monotonously
increases with the C concentration.


title: On Wasserstein geometry of the space of Gaussian measures

abstract:
  The space of Gaussian measures on a Euclidean space is geodesically convex in
the $L^2$-Wasserstein space. This space is a finite dimensional manifold since
Gaussian measures are parameterized by means and covariance matrices. By
restricting to the space of Gaussian measures inside the $L^2$-Wasserstein
space, we manage to provide detailed descriptions of the $L^2$-Wasserstein
geometry from a Riemannian geometric viewpoint. We first construct a Riemannian
metric which induces the $L^2$-Wasserstein distance. Then we obtain a formula
for the sectional curvatures of the space of Gaussian measures, which is
written out in terms of the eigenvalues of the covariance matrix.


title: Theory of Quark-Gluon Plasma and Phase Transition

abstract:
  Nonperturbative picture of strong interacting quark-gluon plasma is given
based on the systematic Field Correlator Method. Equation of state, phase
transition in density-temperature plane is derived and compared to lattice data
as well as subsequent thermodynamical quantities of QGP.


title: Fundamentals of half-metallic Full-Heusler alloys

abstract:
  Intermetallic Heusler alloys are amongst the most attractive half-metallic
systems due to the high Curie temperatures and the structural similarity to the
binary semiconductors. In this review we present an overview of the basic
electronic and magnetic properties of the half-metallic full-Heusler alloys
like Co$_2$MnGe. Ab-initio results suggest that the electronic and magnetic
properties in these compounds are intrinsically related to the appearance of
the minority-spin gap. The total spin magnetic moment in the unit cell, $M_t$,
scales linearly with the number of the valence electrons, $Z_t$, such that
$M_t=Z_t-24$ for the full-Heusler alloys opening the way to engineer new
half-metallic alloys with the desired magnetic properties. Moreover we present
analytical results on the disorder in Co$_2$Cr(Mn)Al(Si) alloys, which is
susceptible to destroy the perfect half-metallicity of the bulk compounds and
thus degrade the performance of devices. Finally we discuss the appearance of
the half-metallic ferrimagnetism due to the creation of Cr(Mn) antisites in
these compounds and the Co-doping in Mn$_2$VAl(Si) alloys which leads to the
fully-compensated half-metallic ferrimagnetism.